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jenyasd209 [6]
3 years ago
7

A car travelled a distance of D =320 kilometers for T =5.0 hours at a constant rate use the formula D =R. T To find the speed (R

) of the car in km per hour Round your answer to the nearest tenth do not include the units in your answer
Mathematics
1 answer:
motikmotik3 years ago
5 0

The speed of car is 64 kilometer per hour

<em><u>Solution:</u></em>

Given that car travelled a distance of D = 320 km for T = 5.0 hours

To find: speed (R) of the car in km per hour

<em><u>Formula given:</u></em>

D = R. T

where "D" is the distance

"R" is the speed of car

"T" is the time taken

<em><u>Substituting the given values in above formula we get,</u></em>

320 = R \times 5.0\\\\R = \frac{320}{5}\\\\R = 64

Thus the speed of car is 64 kilometer per hour

We cannot round the answer to nearest tenth, since answer is not in decimal

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Three consecutive even integers can be represented by x, (x+2), and (x+4).

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g A popular theory is that presidential candidates have an advantage if they are taller than their main opponents. Listed are he
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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
The lengths of the sides of a triangle are in the extended ratio 7​: 9 ​: 10. The perimeter of the triangle is 52 cm. What are t
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Answer:

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Step-by-step explanation:

7x + 9x + 10x = 26x

equation: 26x = 52

divide each side by 26: x = 2

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9 * 2 = 18

10 * 2 = 20

check if answer is right: 14 + 20 + 18 = 52

I hope this helped, please mark Brainliest thank you so much!!

8 0
2 years ago
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