Maya has a recipe for blueberry chocolate chip muffins. She doesn't like a lot of oats, but loves blueberries, so she is using 3/4 of the amount of oats called for and increasing the amount of blueberries by 1/4 of the original amount She then wants to double her new recipe. Ingredient Amount (cups) Blueberries 3/4 Chocolate Chips 1 Oats 1/2 White Sugar 1 How many cups of blueberries will Maya need? Write your answer as a mixed number in simplest form.
Answers
Oats: 3/4 * 1/2 = 3/8 cup
Blueberries: (1 + 1/4) * 3/4 = 15/16 cup
Chocolate chips: 1 * 2 = 2 cups
White sugar: 1 * 2 = 2 cups
To double this new recipe, Maya needs to multiply each ingredient by 2:
Oats: 3/8 * 2 = 3/4 cup
Blueberries: 15/16 * 2 = 30/16 = 1 14/16 = 1 7/8 cups
Chocolate chips: 2 * 2 = 4 cups
White sugar: 2 * 1 = 2 cups
Therefore, Maya will need 1 7/8 cups of blueberries for her doubled recipe.
Related Questions
pls help me will love you forever Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work.
4. Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.
5. Explain what the solution means in the context of the word problem.
Answers
Answer:
1)
Ola taxi charges a $8 flat rate in addition to $2 per mile. Paul has no more than $10 to spend on a ride.
2)
Let x be the number of miles.
Then, we have inequality: 8x+2<=10
Solve the inequality: 8x+2<=10
Subtract 2 from both the sides:
8x+2-2<=10-2
Simplify
8x<=8
:
Divide by 8 both sides we get
x<=1;
as shown in figure 1.
4)
From the context of the problem :
we can say that Paul can travel 1 miles or less before reaching his limit of $10.
Step-by-step explanation:
Find the indefinite integral (for x > 0) on the domain of positive real numbers. Remember to include a "+C" if appropriate. Enclose arguments of functions in parentheses. For example, sin (2x). To enter V
∫(5/x - 5/5√x)dx=
Answers
To find the indefinite integral of ∫(5/x - 5/(5√x)) dx, we will integrate each term separately. The indefinite integral of (5/x - 5/(5√x)) with respect to x, on the domain of positive real numbers, is given by 5 ln |x| - 2√x + C.
The integral of 5/x with respect to x is given by:
∫(5/x) dx = 5 ln |x| + C1,
where ln represents the natural logarithm and C1 is the constant of integration.
The integral of -5/(5√x) can be simplified as follows:
∫(-5/(5√x)) dx = -∫(1/√x) dx = -2√x + C2,
where C2 is the constant of integration.
Putting the results together, we have:
∫(5/x - 5/(5√x)) dx = 5 ln |x| - 2√x + C,
where C = C1 + C2 is the combined constant of integration.
Therefore, the indefinite integral of (5/x - 5/(5√x)) with respect to x, on the domain of positive real numbers, is given by 5 ln |x| - 2√x + C.
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You bought a share of 3 percent preferred stock for $97.06 last year. The market price for your stock is now $99.06. What was your total return for last year
Answers
The total return on the 3 percent preferred stock for last year is $2.00.
To calculate the total return on the preferred stock, we need to consider two components: capital appreciation and dividends received.
The capital appreciation represents the increase in the stock's price over time. In this case, the stock was purchased for $97.06 and its current market price is $99.06. To calculate the capital appreciation, we subtract the initial purchase price from the current market price:
Capital Appreciation = Current Market Price - Purchase Price
= $99.06 - $97.06
= $2.00
Therefore, the capital appreciation of the stock is $2.00.
Preferred stocks typically pay fixed dividends at regular intervals. Since the question does not provide any information about dividends received, we assume that no dividends were paid during the last year. Hence, the dividend component of the total return is zero.
To calculate the total return, we sum up the capital appreciation and dividend components:
Total Return = Capital Appreciation + Dividends
= $2.00 + $0.00
= $2.00
Therefore, the total return for the last year on the 3 percent preferred stock is $2.00.
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Which of the following does the parameter u represent in a paired t procedure? the mean of a single variable in a population the difference between the means of two independent populations the standard deviation of the differences between paired observations the mean difference in the responses to the two groups within pairs of subjects in the entire population
Answers
The parameter u in a paired t procedure represents the mean difference in the responses to the two groups within pairs of subjects in the entire population.
This means that u captures the average change or effect observed when comparing the two related groups.
To elaborate further:
The parameter u represents a specific measure of interest in a paired t procedure. In a paired t procedure, the data consists of paired observations, where each observation is made on the same subject or item under different conditions.
The parameter u represents the mean difference between the paired observations for the entire population. It quantifies the average change or effect observed between the two groups being compared within the pairs of subjects. By estimating the value of u from a sample, we can make inferences about the population parameter and test hypotheses regarding the difference between the two groups.
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please help im so confused lol im behind in math
Answers
3(x) = 45 then to get the 3 off the x you divide both sides by 2
3x/3 = 45/3
1x = 15
Thus the answer is each side is 15...
Please help me out on this.
Enter your answer and show all the steps that you use to solve this problem in the space provided.
Ingredient 8 servings
Dried split peas: 2 and 1/4 c.
Water: 2 qt
Chopped onion: 3/4 c.
Chopped celery: 1 c.
Ham shank: 2 lb.
The basic recipe for split pea soup serves 8 people. Find the amount of each ingredient needed to serve 32 people.
Answers
Answer:
Dried split peas: 9 cups
Water: 8 quarts
Chopped onion: 3 cups
Chopped celery: 4 cups
Ham shank: 8 pounds
Step-by-step explanation:
Since the basic recipe serves 8 people and you need to serve 32 people, you just multiply each ingredient by 4. (32÷8=4)
Dried split peas: 2 1/4 c. x 4 = 9 cups
Water: 2 qt x 4 = 8 quarts
Chopped onion: 3/4 c. x 4 = 3 cups
Chopped celery: 1 c. x 4 = 4 cups
Ham shank: 2 lb. x 4 = 8 pounds
If an analysis of variance produces SS between = 20 and SS within = 40, then η 2 = 0.50.
true or false
Answers
Since η² ≈ 0.33 and not 0.50, the statement "If an analysis of variance produces SS between = 20 and SS within = 40, then η² = 0.50" is false.
ANOVA, or Analysis of Variance, is a statistical method used to compare the means of two or more groups to determine if there are any statistically significant differences between them. It is commonly used in experimental and observational studies to analyze the variance between group means and within-group variability.
ANOVA tests the null hypothesis that the means of the groups are equal, against the alternative hypothesis that at least one of the group means is different. It calculates the F-statistic, which compares the between-group variability to the within-group variability. If the F-statistic is large enough and exceeds a critical value, it indicates that there is evidence to reject the null hypothesis and conclude that there are significant differences between the group means.
We can determine if η² = 0.50 is true or false by calculating the effect size η² using the provided SS between and SS within values.
η² = SS_between / (SS_between + SS_within)
η² = 20 / (20 + 40)
η² = 20 / 60
η² = 1/3 ≈ 0.33
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True, the eta-squared value is indeed 0.50, indicating that 50% of the total variance is accounted for by the between-group variation.
The formula to calculate eta squared (η2) is:
η2 = SSbetween / (SSbetween + SSwithin)
If SSbetween = 20 and SSwithin = 40, then:
η2 = 20 / (20 + 40) = 0.5
Therefore, η2 = 0.50, which means that 50% of the total variance in the dependent variable can be attributed to the independent variable (or factor) being analyze. The statement "If an analysis of variance produces SS between = 20 and SS within = 40, then η 2 = 0.50" is true. To determine η 2 (eta-squared), you'll need to calculate the proportion of total variance explained by the between-group variation. This can be done using the formula η 2 = SS between / (SS between + SS within). In this case, η 2 = 20 / (20 + 40) = 20 / 60 = 0.50. Therefore, the eta-squared value is indeed 0.50, indicating that 50% of the total variance is accounted for by the between-group variation.
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Caleb an investment banker sold his shares for $18,189.27 when there was a boom in the stock market. Calculate the amount he paid for the shares if his selling price was 130% of the amount he paid for the shares.
Answers
Therefore, Caleb paid approximately $14,067.90 for the shares.
Let's assume the amount Caleb paid for the shares is represented by the variable "x". According to the given information, his selling price was 130% of the amount he paid.
Selling price = 130% of the amount paid
$18,189.27 = 1.3 * x
To find the amount he paid for the shares, we can solve the equation for "x" by dividing both sides by 1.3:
x = $18,189.27 / 1.3
Calculating this, we find:
x ≈ $14,067.90
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Put the steps in order for solving a linear system graphically
Answers
The correct steps are shown below
1) Write each equation in a form that is easy to graph, many students prefer slope-intercept form
2) Graph the equations as accurate as possible
3) Look at the graph and see where the lines intersect
4) Check the solution algebraically by substituting the answer into both equations
The option is 1234
sheldon purchased 189 sq. ft. of sod for his square-shaped yard. What is the width of his yard?
Answers
Answer: 13.7 ft
Step-by-step explanation:
The square root of 189 is 13.7 (rounded off).
A water tank at Camp Newton holds 1200 gallons of water at time t = 0. During the time interval Osts 18 hours, water is pumped into the tank at the rate
W(t) = 95Vt sin^2 (t/6) gallons per hour During the same time interval water is removed from the tank at the rate R(t) = 275 sin^2 (1/3) gallons per hour a. Is the amount of water in the tank increasing at time t = 15? Why or why not?
b. To the nearest whole number, how many gallons of water are in the tank at time t = 18? c. At what time t, for 0 st 18, is the amount of water in the tank at an absolute minimum? Show the work that leads to your conclusion d. For t > 18, no water is pumped into the tank, but water continues to be removed at the rate R(C) until the tank becomes empty. Write, but do not solve, an equation involving an integral expression that can be used to find the value of k.
Answers
(a)The amount of water in the tank is increasing.
(b)Evaluate \(\int\limits^{18}_0(W(t) - R(t)) dt\) to get the number of gallons of water in the tank at t = 18.
(c)Solve part (b) to get the absolute minimum from the critical points.
(d)The equation can be set up as \(\int\limits^k_{18}-R(t) dt = 1200\) and solve this equation to find the value of k.
What is the absolute value of a number?
The absolute value of a number is its distance from zero on the number line. It represents the magnitude or size of a real number without considering its sign.
To solve the given problems, we need to integrate the given rates of water flow to determine the amount of water in the tank at various times. Let's go through each part step by step:
a)To determine if the amount of water in the tank is increasing at time t = 15, we need to compare the rate of water being pumped in with the rate of water being removed.
At t = 15, the rate of water being pumped in is given by \(W(t) = 95Vt sin^2(\frac{t}{6})\) gallons per hour. The rate of water being removed is \(R(t) = 275 sin^2(\frac{1}{3})\) gallons per hour.
Evaluate both rates at t = 15 and compare them. If the rate of water being pumped in is greater than the rate of water being removed, then the amount of water in the tank is increasing. Otherwise, it is decreasing.
b) To find the number of gallons of water in the tank at time t = 18, we need to integrate the net rate of water flow from t = 0 to t = 18. The net rate of water flow is given by the difference between the rate of water being pumped in and the rate of water being removed. So the integral to find the total amount of water in the tank at t = 18 is:
\(\int\limits^{18}_0(W(t) - R(t)) dt\)
Evaluate this integral to get the number of gallons of water in the tank at t = 18.
c)To find the time t when the amount of water in the tank is at an absolute minimum, we need to find the minimum of the function that represents the total amount of water in the tank. The total amount of water in the tank is obtained by integrating the net rate of water flow over the interval [0, 18] as mentioned in part b. Find the critical points and determine the absolute minimum from those points.
d. For t > 18, no water is pumped into the tank, but water continues to be removed at the rate R(t) until the tank becomes empty. To find the value of k, we need to set up an equation involving an integral expression that represents the remaining water in the tank after time t = 18. This equation will represent the condition for the tank to become empty.
The equation can be set up as:
\(\int\limits^k_{18}-R(t) dt = 1200\)
Here, k represents the time at which the tank becomes empty, and the integral represents the cumulative removal of water from t = 18 to t = k. Solve this equation to find the value of k.
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If the supply and demand curves in the provided graph represent the market supply and demand for a purely competitive industry, then the demand curve that an individual firm in the industry faces
Answers
If the supply and demand curves in the provided graph represent the market supply and demand for a purely competitive industry, then the demand curve that an individual firm in the industry faces is perfectly elastic.
This is because firms in a perfectly competitive market are price takers. They have to accept the market price because they are too small to influence it. Therefore, the market demand curve is also the demand curve for the firm because it can sell any amount of output at the market price.
The supply curve for the firm is also the marginal cost curve because the firm produces where marginal cost equals the price. Hence, the individual firms in a perfectly competitive industry face a perfectly elastic demand curve, while the market demand curve is downward sloping.
If the supply and demand curves in the provided graph represent the market supply and demand for a purely competitive industry, then the demand curve that an individual firm in the industry faces is perfectly elastic. This is because firms in a perfectly competitive market are price takers.
They have to accept the market price because they are too small to influence it. Therefore, the market demand curve is also the demand curve for the firm because it can sell any amount of output at the market price. The supply curve for the firm is also the marginal cost curve because the firm produces where marginal cost equals the price.
Hence, the individual firms in a perfectly competitive industry face a perfectly elastic demand curve, while the market demand curve is downward sloping.In a perfectly competitive market, an individual firm can sell all of its output at the market price.
Since the market price is fixed, the firm faces a perfectly elastic demand curve. The reason for this is that the firm is too small to influence the market price. Therefore, the market demand curve is also the demand curve for the firm. As for the supply curve for the firm, it is equal to the marginal cost curve because the firm produces where marginal cost equals the price.
If the market price rises, the firm will produce more because it can cover its costs. If the market price falls, the firm will produce less because it will not be able to cover its costs.
Hence, individual firms in a perfectly competitive industry face a perfectly elastic demand curve, while the market demand curve is downward sloping.
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One cube has a volume of 192 cm3, and another has a volume of 375 cm3. How much longer is the edge of the larger cube than that of the smaller cube?
Answers
Answer:
134
Step-by-step explanation:
solve the system of equations algebraically -5x+2y=4 2x+3y=6
Answers
(2x+3y=6).5
-10x+4y=8
10x+15y=30
[10x+(-10x)]+[15y+4y]=[30+8]
19y=38
y=38/19
y=2
2x+3y=6
2x+3(2)=6
2x=6-6=0
x=0
Step-by-step explanation:
-5x+2y= 4 <==== Multiply entire equation by -3 to get:
15x-6y = -12
2x+3y= 6 <==== Multiply entire equation by 2 to get :
4x+6y = 12 Add the two underlined equations to eliminate 'y'
19x = 0 so x = 0
sub in x = 0 into any of the equations to find: y = 2
(0,2)
find the volume of the composite figure
Answers
Answer:
8064
Step-by-step explanation:
Multiply all the sides
6x4x12x2x14
Answer:
384 cu. cm
Step-by-step explanation:
The figure is comprised of two rectangular prisms. One prism has dimensions of 6, 4 and 2 and the other prism has dimensions of 14, 12 and 2
Vol of a rectangular prism = lwh
Total volume = 6(4)(2) + 14(12)(2)
= 48 + 336
= 384 cu. cm
Determine the approximate angle of sunrise and sunset for February 3 for WPU, NJ, approximate latitude: 40 degrees north. (Use the closest equinox date for calculation).
a) 90 degrees sunrise, 270 degrees sunset
b) 102 degrees sunrise, 258 degrees sunset
c) 78 degrees sunrise, 282 degrees sunset
d) 66.5 degrees sunrise, 293.5 degrees sunset
e) 113.5 degrees sunrise, 246.5 degrees sunset
Answers
The approximate angle of sunrise for February 3 at WPU, NJ, with an approximate latitude of 40 degrees north, would be around 66.5 degrees, and the approximate angle of sunset would be around 293.5 degrees.
To determine the approximate angle of sunrise and sunset for a specific location and date, we can use the knowledge that on the equinox, the sunrise and sunset angles are at their extremes. The equinox occurs around March 21 and September 21. Since we are looking for February 3, which is closer to the March equinox, we can use the values for the March equinox.
On the equinox, the sunrise and sunset angles are approximately 66.5 degrees and 293.5 degrees, respectively. These values correspond to the direction measured clockwise from due north.
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A) If 4 farmers can plow a 3-hectare land in 6 days, how long will 8
farmers do it?
Answers
Answer:
I believe that It will take 3 days if 8 farmers will plow 3-hectare land.
Step-by-step explanation:
The work doubled so days will be less in a half.
Find the GCF of 20m and 45.
Answers
Answer:
5
Step-by-step explanation:
20/5=4
45/5=9
cant simplify farther
Answer:
the answer is 5.
Step-by-step explanation:
Factors for 20: 1, 2, 4, 5, 10, and 20.
Factors for 45: 1, 3, 5, 9, 15, and 45.
Same numbers is 5.
the answer is 5.
While surveying a cave, a spelunker follows a passage 190 m straight west, then 230 m in a direction 45.0
∘
east of south, and then 270 m at 30.0
∘
east of north. After a fourth unmeasured displacement, she finds herself back where she started. Part A Find the magnitude of the fourth displacement. Express your answer with the appropriate units. Find the direction of the fourth displacement. Express your answer in degrees.
Answers
The magnitude of the fourth displacement is 230 m, and the direction is 45° east of south.
To determine the magnitude and direction of the fourth displacement, we can add up the individual displacements and analyze the resultant displacement.
Given:
First displacement: 190 m west
Second displacement: 230 m at 45° east of south
Third displacement: 270 m at 30° east of north
Let's analyze the displacements one by one:
1. The first displacement is 190 m straight west. Since it is a straight line in one direction, we only consider its magnitude and direction. The magnitude is 190 m, and the direction is due west.
2. The second displacement is 230 m at 45° east of south. To determine the components of this displacement, we can break it into its north-south and east-west components. The east-west component is given by 230 m * cos(45°), which is approximately 162.43 m, and the north-south component is given by 230 m * sin(45°), which is also approximately 162.43 m.
3. The third displacement is 270 m at 30° east of north. Similar to the second displacement, we can determine its components. The east-west component is 270 m * cos(30°), which is approximately 233.45 m, and the north-south component is 270 m * sin(30°), which is approximately 135 m.
Now, we can add up the east-west and north-south components separately:
East-West component: 162.43 m - 233.45 m = -71.02 m
North-South component: 162.43 m + 135 m = 297.43 m
To find the magnitude of the fourth displacement, we use the Pythagorean theorem:
Magnitude of the fourth displacement = sqrt((-71.02 m)^2 + (297.43 m)^2) ≈ 230 m
The magnitude of the fourth displacement is approximately 230 m.
To find the direction of the fourth displacement, we can use the inverse tangent function:
Direction of the fourth displacement = atan((-71.02 m) / (297.43 m)) ≈ -14.67°
However, since the question asks for the direction in degrees, we need to add 180° to the result to obtain the direction relative to the positive x-axis. Therefore, the direction of the fourth displacement is approximately 180° - 14.67° = 165.33°.
Hence, the magnitude of the fourth displacement is 230 m, and the direction is approximately 165.33° east of south.
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Find the value of x
A. 12
B. 4
C. 9
D. 14
Answers
Find the value of x
A.12
B.4
C.9
D.14
is c 9
What is seven divided by 2?
Answers
Which of the following lines are not used when creating liner perspective
Answers
Answer:
curved lines
Step-by-step explanation:
because a linear persctive is a straight line or perspective where in which a curved line isnt
a bank pin is a string of four digits, each digit 0-9. how many choices are there for a pin if the last digit must be odd and all the digits must be different from each other? a. 9 ⋅ 8 ⋅ 7 ⋅ 5 b. 5 ⋅ 103 c. 10 ⋅ 9 ⋅ 8 ⋅ 5 d. 10 ⋅ 9 ⋅ 8 ⋅ 7
Answers
The answer is not one of the options listed. The closest option is (a) 9 * 8 * 7 * 5, but this does not take into account the requirement that the last digit must be odd.
To solve this problem, we can use the multiplication principle, which states that if there are m ways to do one thing and n ways to do another thing, then there are m * n ways to do both things together.
First, we need to choose the last digit of the PIN to be odd. There are 5 odd digits to choose from (1, 3, 5, 7, and 9).
Next, we need to choose the first digit of the PIN. Since it cannot be the same as the last digit, there are only 9 choices left (since 0 is allowed as the first digit).
For the second digit, we can choose from 8 digits (we can't choose the first digit or the last digit, which leaves 8 choices).
For the third digit, we can choose from 7 digits (we can't choose the first digit, the second digit, or the last digit, which leaves 7 choices).
Therefore, the total number of choices for the PIN is:
5 * 9 * 8 * 7 = 2,520
So the answer is not one of the options listed. The closest option is (a) 9 * 8 * 7 * 5, but this does not take into account the requirement that the last digit must be odd.
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Lola's pet turtle walked 10 feet, and then half that length again.
Lola's baby brother walked 3 feet, and then half that length again.
Lola's hamster walked 6.5 feet, and then half that length again.
Lola's mom walked x feet, and then half that length again.
Answers
4.5 feet
3.25 feet
0.5(X) feet
Last question for Jim Thompson Geometry homework
Answers
==============================================
Explanation:
At the top of the proof, your teacher states "Given" followed by the relevant useful info. We simply repeat that info word for word as statement 1. This is how all proofs start out. We start with what we're given and try to build toward what we want to prove.
So this is why reason 1 is "given". Reason 2 is "given" also. When your teacher gives multiple statements like this, it's handy to break them up into the smallest pieces possible.
--------------------
For reason 3, we use the SAS Similarity rule here because we have congruent angles LPN and LNM (both 90 degrees each) and the sides are proportional due to the statement \(\frac{PN}{NM} = \frac{LP}{LN}\)
Notice how statement 3 builds entirely off from what statements 1 and 2 set up.
Jason purchased a pack of game cards that was on sale for 13% off. The sales tax in his country is 8%. Let y represent the original price of cards.
Answers
Complete question :
Jason purchased a pack of game cards that was on sale for 13% off. The sales tax in his county is 8%. Let y represent the original price of the cards. Write an expression that can be used to determine the final cost of the cards.
A) y − 0.13y
B) 1.08(0.87y)
C) 0.08(0.87y)
D) y − 0.87y + 0.08y
Answer:
1.08(0.87y)
Step-by-step explanation:
Let initial cost = y
Cost on sale = 13% off
Discounted price = y - 0.13y = 0.87y
Sales tax on purchase = 8%
Sales tax is ade d to the purchase price of item, hence ;
Sales tax = 1 + 0.08 = 1.08
The final cost of card is:
Sales tax * discounted price
1.08 * 0.87y
1.08(0.87y)
Please help, algebra 1 unit 4 lesson 1
5. A number of identical cups are stacked up. The number of cups in a stack and the
height of the stack in centimeters are related.
a. Can we say that the height of the stack is a function of the number of cups in
the stack? Explain your reasoning.
b. Can we say that the number of cups in a stack is a function of the height of the
stack? Explain your reasoning.
Answers
For deducing the answers, you can use what does function of something means.
a) Yes, height of the stack is a function of the number of cups in the stack.
b) Yes, we can say that the number of cups in a stack is a function of the height of the stack.
What is a function?There are two sets of values. When we connect first set's values with other set, it is called mapping one set's value to other set. All type of mappings are called relations.
Such relations which are such that each element of the first set(also called input set or domain) is mapped to only one value of the other set(called codomain, and if all values are occupied, then called range or output set), then such relation is called function.
So, for a mapping to be function, we need each input to be mapped to only one output.
Is height of the stack a function of the number of cups in the stack?First, know that as the amount of cup is increasing, the height of the stack is increasing. This shows that the number of cups in the stack of the cups is related to the height of the stack.
Now we have to check if this can be a function.
For height of stack to be a function of the number of cups in the stack, we need input set(which is number of cups) to map to single value to output set(the height of the stack).
Since a fixed amount of cups in the stack cannot have two different height, thus there is single output to each of the input.
Thus,
\(h = f(n)\)
(where f is the function of n which is number of cups and it shows that h is function of n where h denotes the height of the stack)
Is number of cups a function of the height of the stack?Similar to the above condition, we now have input as height of the stack and output as the number of cups.
Since one height of the stack cannot have different amount of cup(assuming that the arrangement was uniform. This assumption is very important in deciding if that relation will be a function or not. Since it was given that the cups are identical, we can assume that the stack was formed uniformly unless otherwise stated), thus we have one height mapping to one value of n, thus
\(n = g(h)\) where g is a function of h
Thus,
a) Yes, height of the stack is a function of the number of cups in the stack.
b) Yes, we can say that the number of cups in a stack is a function of the height of the stack.
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Peter has 100$. The price of a watch is 60$. If Peter gets 25% discount,can he buy 2 watches?
Answers
yes.
25 percent discount means that the price of one watch is 45 dollars.
45 plus 45 is less than 100.
Answer:
The answer is yes.
Step-by-step explanation:
25% = divide by 4
25% of 60$ = 60$ divided by 4 = 25$
So then we need to do 60$ - 25$ which equals to 45$.
45$ + 45$ = $90.
Hope that helps. x
) Write an expression that is equivalent to 3(7 + x).
3(7+ x) =
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Answers
Answer:
=21 + 3x
Step-by-step explanation:
use distributive property
=3(7 + x)
=21 + 3x
A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 40% of this population prefers the color red. If 14 buyers are randomly selected, what is the probability that exactly 2 buyers would prefer red
Answers
Answer:
The probability that exactly 2 buyers would prefer red car is 0.0317.
Step-by-step explanation:
Let the random variable X represent the number of buyers would prefer red car.
The probability of the random variable X is, p = 0.40.
A random sample of n = 14 buyers are selected.
The event of a buyer preferring a red car is independent of the other buyers.
The random variable X thus follows a Binomial distribution with parameters n = 14 and p = 0.40.
The probability mass function of X is:
\(P(X=x)={14\choose x}(0.40)^{x}(1-0.40)^{14-x};\ x=0,1,2,3...\)
Compute the probability that exactly 2 buyers would prefer red car as follows:
\(P(X=2)={14\choose 2}(0.40)^{2}(1-0.40)^{14-2}\)
\(=91\times 0.16\times 0.0021768\\=0.031694208\\\approx 0.0317\)
Thus, the probability that exactly 2 buyers would prefer red car is 0.0317.