Answer:
1190lbs | 210lbs
Step-by-step explanation:
0.85*1400 = 1190 | protein supplement
0.15*1400 = 210 | standard protein ration
m= -2, b 7/2
Enter the equation of the line in slope-intercept form.
slope intercept form:
y=mx+b
m=-2, b=7/2
answer:
y=-2x+7/2
B (-1,6) and d (9,4) midpoint formula
We have two points and we have to calculate the midpoint.
The coordinates of the midpoint are the average of the coordinates of the two points.
In this case, we have B=(-1, 6) and D=(9, 4), so we can calculate the coordinates of the midpoint M as:
\(x=\frac{x_B+x_D}{2}=\frac{-1+9}{2}=\frac{8}{2}=4\)\(y=\frac{y_B+y_D}{2}=\frac{6+4}{2}=\frac{10}{2}=5\)So the coordinates of the midpoint between B and D is (4, 5).
We can graph it so we can see it:
Suppose a normal distribution has a mean of 26 and a standard deviation of
4. What is the probability that a data value is between 27 and 28? Round your
answer to the nearest tenth of a percent.
A. 10.3%
B. 9.3%
C. 11.3%
D
12.13%
Answer:
D,p
Step-by-step explanation:
whattttttt ,why is there no option in D
The Probability that a data value is between 27 and 28 is 9.3%.
What is Probability?
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 to 1,
Here, mean of the data is 26
P(0 ≤ x - μ ≤ σ/2) = 0.195
P(0 ≤ x - μ ≤ σ/4) = 0.0987
P(σ/4 ≤ x - μ ≤ σ/2) = 0.093
Thus, the Probability that a data value is between 27 and 28 is 9.3%.
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Find the length of the third side. If necessary, round to the nearest tenth. 8 12
The length of the third side is 14.4 units.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
We find the third side of a triangle by using Pythagoras theorem.
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides
8²+12²=x²
64+144=x²
208=x²
Take square root on both sides
x=14.4
Hence, the length of the third side is 14.4 units.
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ƒ(t) = –1∕2t2 + 2t + 6
This function represents a downward-opening parabola with a vertical shift of 6 units upward.
How to explain the functionThe given function is Ƒ(t) = –1/(2t²) + 2t + 6.
This is a quadratic function in terms of t. The general form of a quadratic function is f(t) = at² + bt + c, where a, b, and c are constants.
Comparing the given function Ƒ(t) = –1/(2t²) + 2t + 6 with the general form, we can see that a = -1/2, b = 2, and c = 6.
So, the function Ƒ(t) can be written as:
Ƒ(t) = (-1/2)t² + 2t + 6
This function represents a downward-opening parabola with a vertical shift of 6 units upward.
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Identify the variable(s) in the expression below.
5 + 12w
Answer:
w is the variable
Step-by-step explanation:
the letters you see next to the numbers the variable.
You have different video games. How many different ways can you arrange the games side by side on a shelf? You can arrange the different video games in nothing different ways.
Answer:
See Explanation below
Step-by-step explanation:
This question has missing details because the number of video games is not stated;
However, you'll arrive at your answer if you follow the steps I'll highlight;
The question requests for the number of arrangement; That means we're dealing with permutation
Let's assume the number of video games is n;
To arrange n games, we make use of the following permutation formula;
\(^nP_n = \frac{n!}{(n-n)!}\)
Simplify the denominator
\(^nP_n = \frac{n!}{0!}\)
0! = 1; So, we have
\(^nP_n = \frac{n!}{1}\)
\(^nP_n = n!\)
Now, let's assume there are 3 video games;
This means that n = 3
\(^3P_3 = 3!\)
\(^3P_3 = 3 * 2 * 1\)
\(^3P_3 = 6\ ways\)
So, whatever the number of video games is; all you have to do is; substitute this value for n;
If f(x) = |x| + 9 and g(x) = –6, which describes the range of (f + g)(x)?
(f + g)(x 3 for all values of x
(f + g)(x) 3 for all values of x
(f + g)(x)6 for all values of x
(f + g)(x)for all values of x
The range of values of (f + g)(x) is for all values of x -infinity to + infinity
What is the domain and range of the function?The domain of a function is defined as the set of all the possible input values that are valid for the given function.
The range of a function is defined as the set of all the possible output values that are valid for the given function.
We are Given f(x) = |x| + 9 and g(x) = –6,
Required the range of (f + g)(x)
First, calculate
(f + g)(x) = f(x) + g(x)
Substitute values for f(x) and g(x)
(f + g)(x) = |x| + 9 - 6
(f + g)(x) = |x| + 3
The above expression shows that (f + g)(x) ≥3
Range = (f + g)(x) ≥3 for all values of x
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The ESS Ravens bought pizza for $900 to sell at the football game. They kept 10 pizzas to feed the players after the game and sold the rest for $1040. There were 8 slices in each pizza. Their profit was 50 cents a slice.
a) How many pizzas were in the original order?
Answer: 45
Step-by-step explanation:
The total profit in all was \(1040-900=\$ 140\).
The total profit per pizza was \((0.50)(8)=\$4\).
This means they sold \(\frac{140}{4}=35\) pizzas.
Adding this to the 10 pizzas held back, there were \(35+10=45\) pizzas in the original order.
Floyd builds rectangles using matches, as shown below. When the length of the rectangle is 3 matches, he used 8 matches. When the length of the rectangle is 7 matches, he used 16 matches. How many matches does Floyd need to make a rectangle with length 20 matches? [Type in only o numeric digit as your answer with no spaces Answer: Search Q
Floyd needs 33 matches to make a rectangle with a length of 20 matches.
To find out how many matches Floyd needs to make a rectangle with a length of 20 matches, we can observe a pattern in the given information.
From the given data, we can see that as the length of the rectangle increases by 4 matches, the number of matches used increases by 8. This means that for every additional 4 matches in length, Floyd requires 8 more matches.
Using this pattern, we can calculate the number of matches needed for a rectangle with a length of 20 matches.
First, we need to determine the number of 4-match increments in the length of 20 matches. We can do this by subtracting the starting length of 3 matches from the target length of 20 matches, which gives us 20 - 3 = 17.
Next, we divide the number of 4-match increments by 4 to determine how many times Floyd needs to add 4 matches. In this case, 17 ÷ 4 = 4 with a remainder of 1.
Since Floyd requires 8 matches for each 4-match increment, we multiply the number of increments by 8, which gives us 4 × 8 = 32 matches.
Finally, we add the remaining matches (1 match in this case) to the total, resulting in 32 + 1 = 33 matches needed to reach a length of 20 matches.
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The set of numbers whose decimal representations are neither terminating nor repeating is called the set of
Answer:
its A
Step-by-step explanation:
Answer: terminating nor repeating
Step-by-step explanation:
there are two hydrogen atoms and one oxygen atom in a water molecule. complete the table, and graph the ordered pairs on the coordinate graph.
Answer:
______ allows data to be transmitted by the computer in ahu-man-of riendly from
Select the correct answer from each drop-down menu. Segment AB has seven equally spaced points on it. Starting at A and moving left to right, the points are C, D, E, F, G, H, and I. In the diagram, is divided into equal parts. The coordinates of point A are (-3, 9), and the coordinates of point B are (9, 5). The coordinates of point C are . The coordinates of point E are . The coordinates of point H are .
The coordinates of points C, E and G are respectively; C(-0.75, 8.5), E(3.75, 7.5) and H(7.5, 6)
How to find the Coordinates of a Line Segment?
We are told that the line AB is divided into 7 equally spaced points labelled as C, D, E, F, G, H and I.
Now, coordinates of A and B are; A(-3, 9) and B(9, 5)
Since they are equally spaced, then it means that point F is the midpoint of the line. If (x, y) is the coordinate of F, then;
x, y = (-3 + 9)/2, (9 + 5)/2
x, y = (6, 7)
H is the midpoint of FB. Thus;
H(x, y) = (6 + 9)/2, (5 + 7)/2
H(x, y) = (7.5, 6)
D is midpoint of A and F. Thus;
D(x, y) = (-3 + 6)/2, (9 + 7)/2
D(x, y) = (1.5, 8)
E is midpoint of F and D. Thus;
E(x, y) = (1.5 + 6)/2, (8 + 7)/2
E(x, y) = (3.75, 7.5)
C is midpoint of D and A. Thus;
C(x, y) = (-3 + 1.5)/2, (9 + 8)/2
C(x, y) = (-0.75, 8.5)
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Answer:
Select the correct answer from each drop-down menu.
Segment AB has seven equally spaced points on it. Starting at A and moving left to right, the points are C, D, E, F, G, H, and I.
In the diagram, is divided into equal parts. The coordinates of point A are (-3, 9), and the coordinates of point B are (9, 5).
The coordinates of point C are
.
The coordinates of point E are
.
The coordinates of point H are
.
cordinates for c are -1.5, 8.5 E is 1.5, 7.5 H is 6,6
Step-by-step explanation:
Taylor buys candy at the store that costs $1.50 per candy bar.
Create a table that could represent Taylor’s cost per candy bar.
Candy
Cost
0 /0
1 /1.50
? ?
? ?
? ?
Answer:
2/ 3.00
3/4.50
4/6.00
Step-by-step explanation:
A shoe manufacturer claims that among the general adult population in the United States that the length of the left foot is longer than the length of the right foot. To compare the average length of the left foot with that of the right foot, we will take a random sample of adults and measure the length of the left foot and then the length of the right foot. Based on our sample, does the data indicate that the length of the left foot is greater than the length of the right foot? Is the hypothesis one-tailed or two-tailed?
We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot.
How to test the data indicate that the length of the left foot is greater than the length of the right foot?A statistical test is required to determine whether the length of the left foot is greater than the length of the right foot. The null hypothesis states that there is no difference in average length between the left and right feet. The alternative hypothesis is that the left foot's average length is greater than the right foot's average length.
This hypothesis is one-tailed, as we are only interested in whether the left foot is longer than the right foot. We are not considering the possibility that the right foot could be longer than the left foot.
A t-test can be used to determine whether the difference in average length between the left and right feet is statistically significant. We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot if the p-value of the t-test is less than the chosen significance level (e.g., 0.05).
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A coin is flipped 8 times. Find the probability of the event if you get exactly 6 heads
Answer:
3/4
Step-by-step explanation:
If you flip it 8 times then and get heads 6 times then your probability would be 6/8 but simplified down to 3/4
X+2y=-9
Solve for Y km
Answer:
y = - 1/2x - 4.5
Step-by-step explanation:
Step 1:
x + 2y = - 9 Equation
Step 2:
2y = - x - 9 Subtract x on both sides
Answer:
y = - 1/2x - 4.5 Divide 2 on both sides
Hope This Helps :)
can you guys pls tell how this person got this math proplem.
by the help of calculator
Enter a positive value for n that makes this statement true: 1 x n is greater than 1 but less than 2
A positive value for n that makes the statement true is n = 1.5.
We need to find a positive value for n that satisfies the given inequality: 1 < 1 x n < 2.
Step 1: Choose a value of n such that it's greater than 1 when multiplied by 1.
Step 2: Ensure the chosen value also makes the product less than 2 when multiplied by 1.
Let's try n = 1.5:
1 x 1.5 = 1.5
Now, let's check if it satisfies the inequality:
1 < 1.5 < 2
Yes, it does. So, a positive value for n that makes the statement true is n = 1.5.
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What are the angles of rotation for a regular
pentagon? (Select all that apply)
al. 60
672
(C) 90
d) 144
(l/180
1216
g) 360
Please show work or give an explanation please
The angles of rotation for a regular pentagon are:
b) 72°d) 144°f) 216°g) 360°Pentagon angle of rotation explainedA Regular Pentagon has five equal sides and five equal angles.
Since the sum of the interior angles of a polygon with n sides is given as:
(n-2) x 180°, then we have:
(5-2) x 180 = 540°.
Note that n = sides of pentagon which is 5
Since all angles in a regular pentagon are equal, each angle measures (540/5) = 108°.
The angles of rotation for a regular polygon are given by the formula 360/n, where n is the number of sides.
Therefore, the angles of rotation for a regular pentagon is:
360/5 = 72°,
Any other angles will be in the multiple of 72. Therefore we have:
2 x 72 = 144°, 3 x 72 = 216°,4 x 72 = 288°5 x 72 = 360°Note that a full rotation is 360°.
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The product of two negative integers is a negative integer.
Answer:
False. The product of two negative integers is a positive integer.
If the median is 3.5, we can assume the mean is ____________than 3.5
We cannot make a general assumption about whether the mean is greater or less than 3.5 based solely on the fact that the median is 3.5.
What is mean?The mean is a measure of central tendency that represents the average value of a set of numbers. It is also called the arithmetic mean or simply the average.
According to question:We cannot make a general assumption about whether the mean is greater or less than 3.5 based solely on the fact that the median is 3.5.
The mean and the median are two different measures of central tendency, and they can have different values depending on the distribution of the data. In general, if a data set is symmetric and bell-shaped, the mean and the median are close to each other. However, if the data set is skewed, the mean and the median may be different.
For example, consider the following two data sets:
Set 1 data: 1, 2, 3, 4, and 5.
The median is 3.
The mean is (1 + 2 + 3 + 4 + 5) / 5 = 15 / 5 = 3.
Data set 2: 1, 2, 3, 4, 10
The median is 3.
The mean is (1 + 2 + 3 + 4 + 10) / 5 = 20 / 5 = 4.
In data set 1, the mean is the same as the median. In data set 2, the mean is greater than the median because the value 10 is an outlier that pulls the mean up.
Therefore, without additional information about the distribution of the data, we cannot make a general assumption about whether the mean is greater or less than 3.5 based solely on the fact that the median is 3.5.
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Which of the following formulas does not represent finding The height of a rectangular prism with a volume of 200 in.³, a length of 4 inches, and a with of 5 inches?
Interpret the regression coefficients. Fill in the blanks below.
The [a. coefficient of determination b. correlation coefficient intercept
slope coefficient] is the estimated amount of a purchase if time spent viewing the online catalog were zero. The a. intercept b. coefficient of determination
c. slope coefficient d. correlation coefficient] is the estimate of amount that a purchase changes for one extra minute spent viewing the online catalog.
b. Compute the coefficient of determination and interpret its meaning. Fill in the blanks below.
The [a. proportion b. amount] of the total variation in purchases that can be explained by variation in the minutes spent viewing the? on-line catalog is equal to the coefficient of? determination, which is ____. (Round to three decimal places as needed)
State the conclusion. Fill in the blanks below. [a. Do not Reject b. Reject] the null hypothesis. There is [a. sufficient b. insufficient] evidence to support the claim that the overall model is significant.
The p-value is ____. (Round to three decimal places as needed.)
State the conclusion. Fill in the blanks below.
a.Do not Reject b. Reject c. the null hypothesis. There is a. sufficient b. insufficient
evidence to support the claim that the overall model is significant.
Determine the p-value.
The p-value is ____. (Round to three decimal places as needed.)
State the conclusion. Fill in the blanks below.
[a. Reject b. Do not Reject] the null hypothesis. There is [a. insufficient b. sufficient]
evidence to support the claim that the regression slope coefficient is not equal to zero.
Answer:
With the information given in the question, the blank spaces are filled thus:
Step-by-step explanation:
1. The intercept is the estimated amount of a purchase, if time spent viewing the online catalog was zero minutes.
2. The slope coefficient is the estimate of amount that a purchase charges/changes, for one extra minute spent viewing the online catalog.
3. The proportion of total variation in purchases that can be explained by variation in the minutes spent viewing an online catalog is equal to the coefficient of determination.
4. The p-value is the probability value
5. Reject the null hypothesis if there is sufficient evidence to support the claim that the regression slope coefficient is not equal to zero.
NOTE: In the case of number 5, the assumption is that;
Null Hypothesis: The regression slope coefficient = 0
Alternative Hypothesis: The regression slope coefficient ≠ 0
Other answers require numerical information and full data, in order to be computed or calculated.
What is the value of the expression
Tyler was making a meal for his family. For every 3/4 pound of beef, the recipe calls for 9/8 cups of broccoli. How many cups of broccoli would be needed for a pound of beef?
a1/2 cup of broccoli per beef
b2/3 pound of broccoli per beef
c1 and ½ cup of broccoli per beef
d5/4 cup of broccoli per beef
The number of cups of broccoli that would be needed for a pound of beef is C. 1 1/2 cup of broccoli per beef.
How to calculate the value?From the information, it was stated that Tyler was making a meal for his family and that for every 3/4 pound of beef, the recipe calls for 9/8 cups of broccoli.
Therefore, the cups of broccoli that would be needed for a pound of beef will be:
3/4/1 = 9/8/x.
where x = cups of broccoli
Cross multiply
3/4x = 9/8
x = 9/8 ÷ 3/4
x = 9/8 × 4/3
x = 3/2
x = 1 1/2cups
Therefore, the correct option is C.
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Answer:
\(\textsf{c) \quad $1 \frac{1}{2}$ cups of broccoli per 1 lb of beef}.\)
Step-by-step explanation:
Given information:
For every ³/₄ lb of beef, the recipe calls for ⁹/₈ cups of broccoli.Create a ratio of pounds of beef to cups of broccoli, where x is the number of cups of broccoli to one pound of beef:
\(\implies \dfrac{3}{4}: \dfrac{9}{8}=1:x\)
\(\implies \dfrac{\frac{3}{4}}{\frac{9}{8}}=\dfrac{1}{x}\)
Cross multiply:
\(\implies \dfrac{3}{4}x=\dfrac{9}{8}\)
\(\implies x=\dfrac{9}{8} \div \dfrac{3}{4}\)
To divide fractions, flip the second fraction (make the numerator the denominator, and the denominator the numerator) then multiply it by the first fraction:
\(\implies x=\dfrac{9}{8} \times \dfrac{4}{3}\)
\(\implies x=\dfrac{9 \times 4}{8 \times 3}\)
\(\implies x=\dfrac{36}{24}\)
\(\implies x=\dfrac{3 \cdot \diagup\!\!\!\!\!\!12}{2 \cdot \diagup\!\!\!\!\!\!12}\)
\(\implies x=\dfrac{3}{2}\)
\(\implies x=1 \frac{1}{2}\)
Therefore, 1¹/₂ cups of broccoli would be needed to one pound of beef.
PLS HELP ASAP!!! THIS IS DUE RIGHT NOW!!!!!!!!!!!!!!!!
Answer:
3/10x28 = 3x28/10 = 84/10 = 8 4/10= 8 2/5
Step-by-step explanation:
what is the slope of the line through (-1 2) and (-3 -2)
Answer:
m=2
Step-by-step explanation:
Answer:
slope = 2
Step-by-step explanation:
(x₁ , y₁) = (-1 , 2) & (x₂ , y₂) = (-3 , -2)
\(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\= \frac{-2-2}{-3-[-1]}\\\\= \frac{-4}{-3+1}\\\\= \frac{-4}{-2}\\\\= 2\)
please help with this question
The probability of the sample mean being less than 25.3 is given as follows:
0.9713 = 97.13%.
The sample mean would not be considered unusual, as it has a probability that is greater than 5%.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution of the data-set, depending if the obtained z-score is positive(above the mean) or negative(below the mean).The z-score table is used to obtain the p-value of the z-score, and it represents the percentile of the measure X in the distribution.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation given by the equation presented as follows: \(s = \frac{\sigma}{\sqrt{n}}\).The parameters for this problem are given as follows:
\(\mu = 25, \sigma = 1.3, n = 68, s = \frac{1.3}{\sqrt{68}} = 0.1576\)
The probability of a score less than 25.3 is the p-value of Z when X = 25.3, hence:
Z = (25.3 - 25)/0.1576
Z = 1.9
Z = 1.9 has a p-value of 0.9713.
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Solve the equation
2^2x+1 + 2^x+2 = 12-2^x
Therefore the value of x is 2.
Given 2²ˣ ⁺ ¹ + 2ˣ ⁺ ² = 12 * 2ˣ
2²ˣ ⁺ ¹ + 2ˣ ⁺ ² = 12 * 2ˣ
We can write this as follows
aˣ ⁺ ⁿ = aˣ * aⁿ
2²ˣ * 2 + 2ˣ * 2² = 12 * 2ˣ
2ˣ * 2ˣ * 2 + 2ˣ * 2² = 12 * 2ˣ
By taking common terms aside we get
2ˣ * 2 (2ˣ + 2) = 12 * 2ˣ
By canceling the like terms we get
2ˣ + 2 = 6
2ˣ = 6 - 2
2ˣ = 4
2ˣ = 2²
∴ x = 2
Therefore the value of x is 2.
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