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3 years ago

Armando can type 2 pages in 5 minutes. Which proportion could

Mathematics

1 answer:

Ierofanga [76]3 years ago

8 0

Answer:

5 pages

Step-by-step explanation:

5+2 =

12- 7=

5pages.

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You know that there is a strong correlation between the consumption of ice cream and body weight. The Pearson's r = 0.78. You al

Naddika [18.5K]

Answer:

y = 7.8x + 26

Step-by-step explanation:

Given the following :

Pearson's r = 0.78

Average consumption of ice cream = 5 grams per week (m) with Standard deviation (sd) = 1.5 grams

Average weight = 65 kg with standard deviation of 15kg

Formular for the regression line :

General regression formula :

y = mx + c

y = predicted variable ; m = slope or gradient ; x = predictor variable ; c = intercept

Gradient (m) = change in y / change in x

m = (sd y / sd x) * r

m = (sd weight / sd ice cream) × r

m = (15 / 1.5) × r

m = 10 × 0.78 = 7.8

Intercept:

mean of weight(y) - [Slope×mean of icecream(x)]

65 - [7.8 × 5]

65 - 39 = 26

Hence,

y = 7.8x + 26

5 0

3 years ago

Solve the equation 4s2+32s=60 by completing the square

lord [1]

Answer:

s = -4 ± √31

Step-by-step explanation:

Given 4 $s^{2}$ + 32s = 60

divide by 4 throughout

$s^{2} + 8s = 15\\s^{2} + 8s + (\frac{8}{2}) ^{2} = 15 + (\frac{8}{2}) ^{2}$

$(s + 4)^{2} = 31\\s + 4 = \sqrt{31}$

s = -4 ± √31

7 0

2 years ago

Complete the remaining columns in the chart by calculating the missing values for each category. Round your percentages to the n

Alenkinab [10]

Answer:

yearly cost for housing expenses = $11,400, average monthly cost for food = $650

yearly clothing cost = $900,

average monthly cost for transportation= $500,

Yearly cost for insurance & medical= $14,400

yearly cost for emergency fund = $600

average monthly college saving = $50

Step-by-step explanation:

Yearly housing = monthly cost * 12 = 950 * 12 = 11400

Food, monthly = 7800 /12 = 650

Clothing, yearly = 75 * 12 = $900

Monthly transport = 6000 / 12 = $500

Insurance and medical = 1200*12 =14400

Emergency fund = $50 * 12 = $600

College saving = $600 / 12 = $50

8 0

2 years ago

Which expression is not equivalent to the other three?

vagabundo [1.1K]

Answer:

b. 4+7x-2

Explanation:

when you add like terms for the first equation it becomes 7x-6

the second one becomes 7x+2

the third one becomes 7x-6

and the last one is also 7x-6

which means the second one is not equivalent

7 0

2 years ago

Arden calculated the height of a cylinder that has a volume of 88π mm3 and a radius of 4 mm. V = Bh 1. 88π42(h) 2. 88π = 16π(h)

inysia [295]

Answer:

D. No, the $\pi$ should have canceled out in step 4 making the correct answer 5.5mm.

Step-by-step explanation:

All the steps that Arden took were correct up until the last step:

1. V = Bh ⇒ 88 $\pi$ = $\pi$ *4^2 * h = 16 $\pi h$

2. Divide by 16 $\pi$ from both sides: h = 88 $\pi$ / 16 $\pi$ = 88/16 = 5.5

Arden forgot to cancel out the pi from both the numerator and denominator, so her answer should have been 5.5 mm, not 5.5 $\pi$ mm.

Thus, the answer is D.

Hope this helps!

5 0

2 years ago

Read 2 more answers