Answer:
False.
Step-by-step explanation:
They will intersect if the lines continue.
Can someone please help meeeeeee
Kaz purchases an article with a net price of $114.54 after a
discount of 17% was allowed. calculate the list price.
Answer:
138
Step-by-step explanation:
$114.54=83%
114.54/83=1.38
1.38=1*
1.38*100=138
James earns 20 allowance every month and 30 for each a on his report card
PART A- Identify the independent and dependent variables
PART B- Write a function that describes the situation
f(x)
Answer:
Part A - the independant variable is the monthly allowance, and the dependent amount is the one that he has to get As for in order to receive it.
Part B - y = 30x + 20
Step-by-step explanation:
Part A; The independent variable is monthly allowance and the dependent variables is earns in report card.
Part B; The function for this situation is;
⇒ f (x) = 30x + 20
Where, x is number of report card.
What is mean by Function?
A relation between a set of inputs having one output each is called a function.
Given that;
James earns 20 allowance every month.
And, Earn 30 for each a on his report card.
Now,
Let number of report card = x
Then, We can formulate the equation as;
⇒ f (x) = 30x + 20
Where, x is number of report card.
Hence, The independent variable is monthly allowance and the dependent variables is earns in report card.
Thus,
Part A; The independent variable is monthly allowance and the dependent variables is earns in report card.
Part B; The function for this situation is;
⇒ f (x) = 30x + 20
Where, x is number of report card.
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Area of triangle with height is on clear
The Area of triangle with the given height 10 cm and base 6 cm is calculated to be 30 square centimeters.
To calculate the area of a triangle with height 10 cm and base 6 cm, we can use the formula:
Area = (1/2) x Base x Height
Substituting the given values, we get:
Area = (1/2) x 6 cm x 10 cm
Area = 30 square cm
Therefore, the area of the triangle is 30 square centimeters.
We can see that the area of the triangle is calculated by multiplying the base and height and then dividing the result by 2. In this case, the height of the triangle is 10 cm and the base is 6 cm, so the area is 30 square cm. This formula can be used to calculate the area of any triangle, regardless of its size or shape.
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The complete question is :
Calculate the Area of triangle with the height 10 cm and base 6 cm .
20 is about what percent of 52
Answer:
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 52 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 52 is 100%, so we can write it down as 52=100%.
4. We know, that x is 20% of the output value, so we can write it down as x=20%.
5. Now we have two simple equations:
1) 52=100%
2) x=20%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
52/x=100%/20%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 20% of 52
52/x=100/20
(52/x)*x=(100/20)*x - we multiply both sides of the equation by x
52=5*x - we divide both sides of the equation by (5) to get x
52/5=x
10.4=x
x=10.4
now we have:
20% of 52=10.4
Step-by-step explanation:
The list shows the heights of some stickers in inches. The data will be put in a line plot
Answer:
The data should be from 1 to 2 with tick marks every 10th
Step-by-step explanation:
A box contains 22 pennies, 44 nickels, and 66 dimes. Six coins are drawn without replacement, with each coin having an equal probability of being chosen. What is the probability that the value of the coins drawn is at least 5050 cents
Answer:
127/924 ≈ 0.1374
Step-by-step explanation:
Given a box with 2 pennies, 4 nickels, 6 dimes, you want the probability that 6 randomly chosen coins will have a value of 50 cents or more.
50 centsThe ways 50 cents (or more) can be made from those coins are ...
6 dimes5 dimes + 1 nickel5 dimes + 1 penny4 dimes + 2 nickelsCount the waysThere is 6C6 = 1 way to choose 6 dimes.
There are (6C5)(4C1) = 6·4 = 24 ways to choose 5 dimes and 1 nickel
There are (6C5)(2C1) = 6·2 = 12 ways to choose 5 dimes and 1 penny
There are (6C4)(4C2) = 15·6 = 90 ways to choose 4 dimes and 2 nickels
The total number of ways to get 50¢ or more is ...
1 +24 +12 +90 = 127
The total number of ways to choose 6 coins from the 12 is ...
12C6 = 924
ProbabilityThe probability of choosing 6 coins that total 50¢ or more is ...
127/924 ≈ 0.1374
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Tekan-Tekan Sdn. Bhd. has order for 200 Model AS-120 calculator for delivery on day 200. The calculator consists of three parts. Components 2 and 3 form subassembly 1 . Sub-assembly 1 and component 4 form the final assembly. Following are the work centers and times of each operation. Table Q3(a) shows routine file of the operation. Assuming: - Only one machine is assigned to each operation - The factory works on 8-hour shift, 5 days a week - All parts move in one lot of 200. (a) Illustrate the backward schedule based on the information given above. (12 marks) (b) Identify when component 3 must be started to meet the delivery date. (2 marks)
Component 3 must be started on day 197 to meet the delivery date of day 200.
To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.
(a) Backward schedule:
Operation | Work Center | Time (hours) | Start Day
--------------------------------------------------------
Final Assembly | Work Center 1 | 1 | 200
Sub-assembly 1 | Work Center 2 | 2 | 199
Component 4 | Work Center 3 | 3 | 197
Component 2 | Work Center 4 | 4 | 196
Component 3 | Work Center 5 | 3 | ????
(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.
From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.
Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.
Hence, component 3 must be started on day 197 to meet the delivery date of day 200.
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49 to the nearest integer
Answer:
The Answer would be 49.
Step-by-step explanation:
An equation in the form ax2+bx+c=0 is solved by the quadratic formula. The solution to the equation is shown below.x=−7±√ "572" What are the values of a, b, and c in the quadratic equation?
A: a= 1, b= -7, c = -2
B: a = 1, b= 7, c = -2
C: a = 2, b = -7, c = -1
D: a = 2, b = 7, c = -1
Question has errors in typing that 572 should be √57/2
Because if it's 572 then 2a=1 so
a=1/2Also
-7=1/2bb=-7(2)b=-14c also comes different
If it's like what I said
then
2a=2a=1and
-b=-7b=7By putting values
c=-2Option B can be correct
Answer:
B: a = 1, b= 7, c = -2
Step-by-step explanation:
Quadratic Formula
\(x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when}\:ax^2+bx+c=0\)
Given:
\(x=\dfrac{-7\pm\sqrt{57}}{2}\)
Comparing the terms of the given x-value with those of the quadratic formula:
\(\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}=\dfrac{-7\pm\sqrt{57}}{2}\)
Therefore:
\(2a=2 \implies a=1\)\(b = 7\)\(b^2-4ac=57\)Using the found values of a and b to solve for c:
\(\implies b^2-4ac=57\)
\(\implies (7)^2-4(1)c=57\)
\(\implies 49-4c=57\)
\(\implies -4c=57-49\)
\(\implies -4c=8\)
\(\implies c=-2\)
In summary: a = 1, b = 7, c = -2
\(\implies x^2+7x-2=0\)
Therefore, option B is the correct solution.
the margin of error is a calculation that describes the error introduced into a study when the sample isn't truly random. true false
Answer: false
Step-by-step explanation:
calculate the probability that the selected student has exactly one of the two types of cards.
The probability of having a single card out of the two types of cards can be determined through the formula of probability. We can find the probability of an event by dividing the number of favourable outcomes by the number of total outcomes.
Example: A standard deck of cards contains 52 cards and two colours : black and red.
The probability of drawing a red card can be determined by dividing the number of favourable outcomes (number of red cards in a deck) by the total number of possible outcomes (number of cards in a deck).
Hence, the probability of drawing a red card would be:
Total number of red cards in a deck = 26 (red cards)
Total number of cards in a deck = 52 (total cards)
Probability of drawing a red card = Number of favourable outcomes/ Total number of possible outcomes
= 26/52
= 1/2
= 0.5
= 50%
We know that the selected student can have one of two types of cards. Therefore, the probability that a student has exactly one of two types of cards is the probability of selecting one of the two types of cards out of the two types of cards.
Probability of having one type of card= Number of favourable outcomes/ Total number of possible outcomes
We can find the probability of one type of card by subtracting the probability of having two types of cards from 1.
The probability of having two types of cards= 3/5 (given)
∴ The probability of having one type of card= 1 - (3/5)
= 2/5
= 0.4
= 40%
Therefore, the probability of selecting a student with exactly one type of card is 0.4 or 40%.
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If m<10=75, m<7=46 and m<16=136, find the measure of each missing angle.
Answer:
See answers below:
Step-by-step explanation:
Using corresponding angles properties, angles opposed by the vertex, and supplementary angle properties, we get:
<1 = 75 degrees
<2 = 105 degrees
<3 = 44 degrees
<4 = 136 degrees
<5 = 44 degrees
<6 = 90 degrees
<7 = 46 degrees
<8 = 75 degrees
<9 = 105 degrees
<10 = 75 degrees
<11 = 59 degrees
<12 = 46 degrees
<13 = 75 degrees
<14 = 105 degrees
<15 = 44 degrees
<16 = 136 degrees
<17 = 44 degrees
<18 = 136 degrees
Determine the perimeter of the right triangle shown. Round your final answer to the nearest whole number, if necessary.
Answers: 7 units
14 units
25 units
26 units
answer : 26
steps
get hypotenuse
a² + b² = c²
7² + 8² = c²
49 + 64 = c²
113 = c²
square root of c is √113 which 10.63
7 + 8 + 10.63 = 25.63
The perimeter of a rectangle is 40 cm. The length is 14 cm.
Let x = width of the rectangle.
Ravi says he can find the width using the equation 2(x + 14) = 40.
Fran says she can find the width using the equation 2x + 28 = 40.
Answer the questions to solve the equations and to compare the steps and solutions.
1. Which of these is the most helpful first step for solving Ravi's equation, 2(x + 14) = 40? (1 point)
Circle the best answer.
Add 14 to both sides
Subtract 14 from both sides
Divide both sides by 2
Multiply both sides by 2
2. What would your next step be? (1 point)
3. Solve Ravi's equation, 2(x + 14) = 40, to find the width of the rectangle. Show your work. (1 point)
4. Which of these is the most helpful first step for solving Fran's equation, 2x + 28 = 40? (1 point)
Circle the best answer.
Multiply both sides by 2
Subtract 28 from both sides
Divide both sides by 2
Add 28 to both sides
5. What would your next step be? (2 points)
6. Solve Fran's equation, 2x + 28 = 40, to find the width of the rectangle. Show your work. (2 points)
7. The two equations have different solution steps. Do they have the same solution? Use the distributive property to show why this answer makes sense. (2 points)
The solution is given below.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
The perimeter of a rectangle is 40 cm. The length is 14 cm.
Let x = width of the rectangle.
Ravi says he can find the width using the equation 2(x + 14) = 40.
Fran says she can find the width using the equation 2x + 28 = 40.
now, we get,
1. Divide both sides by 2
2(x+14) = 40
x+14 = 20
2. Isolate the x term by subtracting 14 from both sides
3. x = 6. The width of the triangle is 6 cm.
4. Isolate the x term by subtracting 28 from both sides
2x + 28 = 40
2x = 12
5. Divide both sides by 2
6. x = 6
7. The two equations have the same solution, because by the distributive rule, 2(x+14) = 2x+28.
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plz help im bad at this type of math
Carbon-14 has a half-life of 5700 years. Scientists use this fact to determine the age of things made of organic material. Suppose the average page of a book containing approximately 0.5 mg of carbon-14 is put into a time capsule.
a. Write an exponential function where x is the number of 5700 year periods and y is the amount of carbon-14.
b. Find the amount of carbon-14 after 11,400 years.
a. an exponential function where x is the number of 5700 year periods and y is the amount of carbon-14 is: y = a (b)^(x/h)
b. the amount of carbon-14 after 11,400 years is 0.25 mg
What is half-life?The amount of time needed for a procedure to affect half of anything, such as the amount of time needed for a radioactive substance's atoms to split in half. The half-life of a radioactive sample is the amount of time needed for half of its atomic nuclei to spontaneously decay, which releases energy and particles, or, alternatively, the amount of time needed for the radioactive sample to disintegrate 60 times every second.
a.
y = a (b)^(x/h)
here, y = amount of carbon-14
a = initial amount
b = final amount
x = time elapsed
h = half life
b. we know that half of it will change into another form in 5700 years, Therefore, if start with 0.5 mg, that would be half in 5,700 years, or 0.25 mg in 11,400 years, which is another half life.
Thus, the amount of carbon-14 after 11,400 years is 0.25 mg
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If one factor of x2 + 2x – 24 is (x+6), what is the other factor?
0 (x+8)
0 (x–8).
(x+4)
0 (x-4)
Answer:
Your answer would be (x-4)
Step-by-step explanation:
If you follow the steps of factoring, first you need to set it up. I always start with the term with the variable first.
(x+_)(x+_)
And since we already know one of the factors, we can put that in our expression.
(x+6)(x+_)
Now remember the trick FOIL.
You multiply the FIRSTS together, then the OUTSIDES, then the INSIDES, and finally the LASTS.
To figure out our last blank we us this trick, but backwards. To get the 24 at the end of your expression x^2+2x-24 you multiply the LASTS together. So 6*_=-24. (remember the subtraction sign stays as a negative with the 24) That answer is -4
Hope that makes sense, and good luck!
If 95% and 98% confidence intervals were developed to estimate the true cost of an MP3 player with a known population standard deviation, what differences would they have?
Select one:
a. The standard errors would be different
b. The t-statistics would be different
c. The z-statistics would be different
d. The point estimates of the population mean would be different
e. The sample sizes would be different
The differences they would have E: The sample sizes would be different.
The difference between the 95% and 98% confidence intervals lies in the level of precision desired. A 98% confidence interval would be wider than a 95% confidence interval because it has to accommodate a larger range of possible values. However, the formula for calculating confidence intervals takes into account both the desired level of precision and the sample size. As the desired level of precision increases (from 95% to 98%), the required sample size also increases.
Therefore, the only difference between the two confidence intervals would be the sample size. The standard errors, t-statistics, z-statistics, and point estimates of the population mean would all be calculated using the same formula and values for both confidence intervals.
Option E is answer.
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Answer:
Yes,she had enough
½pound=8ounces
she needs a total of 24ounces
Step-by-step explanation:
She had enough because ½pound is 8ounces thus 16ounces+8ounces add up to 24ounces.
Answer:
Yes,she had enough
½pound=8ounces she needs a total of 24ounces
Step-by-step explanation:
below the paraboloid z = 18 − 2x2 − 2y2 and above the xy-plane
Answer:
y
2
=−
2
z
+7
Steps for Solving Linear Equation
z=18−2×2−2y2
Multiply 2 and 2 to get 4.
z=18−4−2y
2
Subtract 4 from 18 to get 14.
z=14−2y
2
Swap sides so that all variable terms are on the left hand side.
14−2y
2
=z
Subtract 14 from both sides.
−2y
2
=z−14
Divide both sides by −2.
−2
−2y
2
=
−2
z−14
Dividing by −2 undoes the multiplication by −2.
y
2
=
−2
z−14
Divide z−14 by −2.
y
2
=−
2
z
+7
Step-by-step explanation:
the given equation defines a paraboloid that lies below the plane z=0. Specifically, it is situated above the xy-plane, which means that the z-values of all points on the surface are greater than or equal to zero.
we can break down the equation z=18-2x^2-2y^2. This equation represents a paraboloid with its vertex at (0,0,18) and axis of symmetry along the z-axis. The first term 18 is the z-coordinate of the vertex and the last two terms -2x^2 and -2y^2 determine the shape of the paraboloid.
Since the coefficient of x^2 and y^2 terms are negative, the paraboloid is downward facing and opens along the negative z-axis. Therefore, all points on the paraboloid have z-values less than 18. Additionally, since the paraboloid is situated above the xy-plane, its z-values are greater than or equal to zero.
the paraboloid defined by the equation z=18-2x^2-2y^2 is situated below the plane z=0 and above the xy-plane. Its vertex is at (0,0,18) and it opens along the negative z-axis.
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If a hat costs 15$ and the sales tax is 10% how much money do you need to buy the hat
Answer:
the answer would be 16.50
Find intervals of concavity for f(x) = 3 cos x, with 0 < x < 21. Show your work for full credit.
The intervals of concavity for f(x) = 3 cos x, with 0 < x < 21, are (0, π/2) and (3π/2, 2π).
To find the intervals of concavity for f(x) = 3 cos x, we need to analyze the second derivative of the function.
First, let's find the second derivative of f(x):
f'(x) = -3 sin x (derivative of cos x)
f''(x) = -3 cos x (derivative of -3 sin x)
Now, we can analyze the concavity of f(x) by considering the sign of the second derivative:
When x ∈ (0, π/2): In this interval, cos x > 0, so f''(x) < 0. The second derivative is negative, indicating concavity downwards.
When x ∈ (π/2, 3π/2): In this interval, cos x < 0, so f''(x) > 0. The second derivative is positive, indicating concavity upwards.
When x ∈ (3π/2, 2π): In this interval, cos x > 0, so f''(x) < 0. The second derivative is negative, indicating concavity downwards.
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Give the regression model Y=76.4−6X1+X2, the standard error of b2 is 0.75, and n= 30. What is the predicted value for Y if X1=11 and X2=15 ?
To find the predicted value for Y given the regression model Y = 76.4 - 6X1 + X2, X1 = 11, and X2 = 15, we can substitute the values into the equation and calculate the result.
Y = 76.4 - 6(11) + 15
Y = 76.4 - 66 + 15
Y = 25.4
Therefore, the predicted value for Y is 25.4.
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Which of the following expressions are equivalent to x+y+z
A: z+y+x
B: x+z-y
C: none of above
Need help
The first option is correct. As long as the signs remain the same for the specific terms, it's correct.
x+y+z is equivalent to z+y+x
The probability that a rental car will be stolen is. 4. if 3500 cars are rented, what is the approximate poisson probability that 2 or fewer will be stolen?
Using the Poisson distribution, there is a 0.8335 = 83.35% probability that 2 or fewer will be stolen.
What is the Poisson distribution?In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:
\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)
The parameters are:
x is the number of successese = 2.71828 is the Euler number\(\mu\) is the mean in the given interval.The probability that a rental car will be stolen is 0.0004, hence, for 3500 cars, the mean is:
\(\mu = 3500 \times 0.0004 = 1.4\)
The probability that 2 or fewer cars will be stolen is:
\(P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)\)
In which:
\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)
\(P(X = 0) = \frac{e^{-1.4}1.4^{0}}{(0)!} = 0.2466\)
\(P(X = 1) = \frac{e^{-1.4}1.4^{1}}{(1)!} = 0.3452\)
\(P(X = 2) = \frac{e^{-1.4}1.4^{2}}{(2)!} = 0.2417\)
Then:
\(P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2466 + 0.3452 + 0.2417 = 0.8335\)
0.8335 = 83.35% probability that 2 or fewer will be stolen.
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Rewrite the exprossion in the form b^n b^1/5/b
The value of the expression is,
⇒ \(b^{- 4/5}\)
We have to given that;
The expression is,
⇒ \(\frac{b^{1/5} }{b}\)
Now, We can simplify the expression as;
⇒ \(\frac{b^{1/5} }{b}\)
⇒ \(b^{\frac{1}{5}- 1 }\)
⇒ \(b^{- 4/5}\)
Thus, The value of the expression is,
⇒ \(b^{- 4/5}\)
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need help-asap, will give person brainliest
Answer:
Step-by-step explanation:
(1 + 5) + 9 = 15 another way to right this
6+9=15
(1+5)+9=15
6+9=15
Hope it helped
Answer: 1x6+9=15 or 15x1 or 6+9=15 or 5x3=15
Step-by-step explanation:
HELP PLZZZ THERE IS NO ANSWER CHOICES MARKING BRAINLIEST
Answer:
B = 10.5
Step-by-step explanation:
From the figures, it looks like triangle HER is similar to triangle KPS.
From that we get
\( \dfrac{HE}{KP} = \dfrac{ER}{SP} \)
\( \dfrac{B}{7} = \dfrac{7.5}{5} \)
Multiply both sides by 7.
B = 10.5
Answer:
B = 10.5
C = 10
Step-by-step explanation:
When one divides the corresponding sides of similar triangles, one will attain the ratio of similitude. If one multiplies one of the similar triangle's sides by the ratio of similitude, then one will attain the corresponding side of the similar triangle. In simple terms, the ratio of similitude is the scaling factor between two similar polygons.
As per the given information, the two triangles are similar, therefore one can set up a proportion with their corresponding sides;
\(\frac{ER}{PS} = \frac{HE}{KP} = \frac{HR}{KS}\)
Substitute;
\(\frac{7.5}{5} = \frac{B}{7} = \frac{15}{C}\)
Solve for B with cross products;
\((7.5)(7) = (5)(B)\\52.5 = 5B\\10.5=B\)
Solve with cross products for C;
\((7.5)(C) = (15)(5)\\7.5C = 75\\C=10\)