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2 years ago

6

The scale of a map is 1in:15miles. How many miles is it from Philadelphia, Pa to Boston, Ma if they are 20.4 inches apart on the

map?

1 answer:

cupoosta [38]2 years ago

4 0

Answer:

if 1in=15miles

then20.4in=? miles

1in by ? miles and 20.4in by 15miles

1in ? miles= 306in miles

divide both sides by 1in

? miles= 306 miles

therefore 20.4in = 306miles

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anzhelika [568]

The answer is D as said above

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3 years ago

g A popular theory is that presidential candidates have an advantage if they are taller than their main opponents. Listed are he

stira [4]

Answer:

Step-by-step explanation:

Corresponding heights of presidents and height of their main opponents form matched pairs.

The data for the test are the differences between the heights.

μd = the president's height minus their main opponent's height.

President's height. main opp diff

191. 166. 25

180. 179. 1

180. 168. 12

182. 183. - 1

197. 194. 3

180. 186. - 6

Sample mean, xd

= (25 + 1 + 12 - 1 + 3 + 6)/6 = 5.67

xd = 5.67

Standard deviation = √(summation(x - mean)²/n

n = 6

Summation(x - mean)² = (25 - 5.67)^2 + (1 - 5.67)^2 + (12 - 5.67)^2+ (- 1 - 5.67)^2 + (3 - 5.67)^2 + (- 6 - 5.67)^2 = 623.3334

Standard deviation = √(623.3334/6 sd = 10.19

For the null hypothesis

H0: μd ≥ 0

For the alternative hypothesis

H1: μd < 0

The distribution is a students t. Therefore, degree of freedom, df = n - 1 = 6 - 1 = 5

The formula for determining the test statistic is

t = (xd - μd)/(sd/√n)

t = (5.67 - 0)/(10.19/√6)

t = 1.36

We would determine the probability value by using the t test calculator.

p = 0.12

Since alpha, 0.05 < than the p value, 0.12, then we would fail to reject the null hypothesis.

Therefore, at 5% significance level, we can conclude that for the population of heights for presidents and their main opponents, the differences have a mean greater than 0 cm.

5 0

3 years ago

Determine the intercepts of the line.<br> x-intercept: ( , )<br> y-intercept: ( , )

olga2289 [7]

Answer:

y-intercept = 275

x-intercept = 125

Step-by-step explanation:

The y-intercept is the point on your line where x=0. On this line, the y-intercept is the point (0,275) (x,y)

The x-intercept is the point on your line where y=0. On this line, the x-intercept is the point (125,0) (x,y)

6 0

2 years ago

The Scott family is trying to save as much money as possible. One way to cut back on the money they spend is by finding deals wh

avanturin [10]

Answer:

Unit price of strawberries at Grocery Mart is $ 1.495 or 150 pennies

Unit price of strawberries at Baldwin Hills Market is $ 1.33 or 133 pennies.

Step-by-step explanation:

1 dollar = 100 pennies

Given:

Cost of 2 pounds of strawberries at Grocery Mart = $ 2.99

Cost of 3 pounds of strawberries at Baldwin Hills Market = $3.99

∵ Cost of 2 pounds of strawberries at Grocery Mart = $ 2.99

∴ Cost of 1 pound of strawberries at Grocery Mart = $\frac{2.99}{2}=\$1.495=1.495\times 100\approx 150\textrm{ pennies}$

∵ Cost of 3 pounds of strawberries at Baldwin Hills Market = $3.99

Cost of 1 pound of strawberries at Baldwin Hills Market = $\frac{3.99}{3}=\$1.33= 1.33\times 100 = 133\textrm{ pennies}$

Therefore, the unit price of strawberries at each grocery store is the cost of 1 pound of strawberries. So, unit rate at Grocery Mart is 150 pennies and at Baldwin Hills Market is 133 pennies.

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ludmilkaskok [199]

Answer:

integers, rationals, irrational, real numbers, imaginary, and complex numbers.

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