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zvonat [6]
3 years ago
7

3. A recipe calls for 2 cups of sugar to make 2 dozen cookies. Use the proportion to calculate how much sugar is needed to make

6 dozen cookies.
A. 2 cups
B. 4 cups
C. 6 cups***
D. 12 cups
Mathematics
2 answers:
vova2212 [387]3 years ago
7 0

Answer:

c. 6 cups

Step-by-step explanation:

The proportion is 1 cup of sugar for 1 dozen cookies (1/1). So if you multiply the denominator by 6 you must multiply the numerator by 6, and 6*1=6. Therefore you need 6 cups of sugar to make 6 dozen cookies.

SashulF [63]3 years ago
5 0
C. 6 cups of sugar.
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Divide. Write the quotient in lowest terms. 3 3/8 ÷ 9
Troyanec [42]
3 3/8 = 27/8 
So (27/8)/(9/1)
(27)(1)/ (8)(9)
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3 years ago
What is the equation of a line passing through (-3,7) and having a slope of -1/5?
g100num [7]
We'll use the slope-intercept form y = mx + b. Where m is the slope and b is the y-intercept.

We know the slope, -1/5. Now the equation looks like y = (-1/5)m + b

To find the y-intercept, plug in the ordered pair that the question gave us into our equation and solve for b.

7 = (-1/5)(-3) + b
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3 years ago
Solve the following quadratic equation by the square root method. (Y-9)^2=64
enot [183]

Hello!

To solve this, first perform the opposite operation for the last operation (on the left side) on both sides. The last operation of the left side is squaring. Therefore, square root both sides.

(y - 9)^{2}  = 64

y - 9 = ±\sqrt{64}

y - 9 = ±8

Please note that you must include ±. This is because the square root of 64 can be either positive or negative, as a square of either a positive or negative number is positive.

Now, add 9 to both sides.

y  = 9±8

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8 0
3 years ago
A sample of blood pressure measurements is taken for a group of​ adults, and those values​ (mm Hg) are listed below. The values
Slav-nsk [51]

Answer:

Systolic on right

\hat{CV} =\frac{18.68}{127.5}=0.147

Systolic on left

\hat{CV} =\frac{12.65}{74.2}=0.170

So for this case we have more variation for the data of systolic on left compared to the data systolic on right but the difference is not big since 0.170-0.147 = 0.023.

Step-by-step explanation:

Assuming the following data:

Systolic (#'s on right) Diastolic (#'s on left)

117; 80

126; 77

158; 76

96; 51

157; 90

122; 89

116; 60

134; 64

127; 72

122; 83

The coefficient of variation is defined as " a statistical measure of the dispersion of data points in a data series around the mean" and is defined as:

CV= \frac{\sigma}{\mu}

And the best estimator is \hat {CV} =\frac{s}{\bar x}

Systolic on right

We can calculate the mean and deviation with the following formulas:

[te]\bar x = \frac{\sum_{i=1}^n X_i}{n}[/tex]

s= \frac{\sum_{i=1}^n (x_i -\bar X)^2}{n-1}

For this case we have the following values:

\bar x = 127.5, s= 18.68

So then the coeffcient of variation is given by:

\hat{CV} =\frac{18.68}{127.5}=0.147

Systolic on left

For this case we have the following values:

\bar x = 74.2 s= 12.65

So then the coeffcient of variation is given by:

\hat{CV} =\frac{12.65}{74.2}=0.170

So for this case we have more variation for the data of systolic on left compared to the data systolic on right but the difference is not big since 0.170-0.147 = 0.023.

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