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jeka57 [31]
2 years ago
7

joyce traveled at an average speed of 60 miles per hour for 4.5 hours and then traveled at an average speed of 35 miles per hour

for 1.5 hours. What was the total distance in miles that joyce traveled during this time ?
Mathematics
1 answer:
SVEN [57.7K]2 years ago
8 0

Answer:

322 1/2 miles

Step-by-step explanation:

Recall how s = d/t ; speed = distance/time.

To effectively solve for distance traveled, rearrange the formula so that distance is on the left-hand side by multiplying speed, and time.

speed × time = distance/time × time

speed × time = distance

distance = speed × time ; d = st.

Now to find the total distance traveled, individually multiply the rate of speed with the time. Time will cancel, and we will get the total mileage.

Given an average speed of 60 mph at a certain time for 4.5 hours, and another average speed of 35 mph at another time of 1.5. Calculate the distance individually, and then add both distances together. Distance 1 = 60 mph × 4.5 h = 60 miles / h × 4.5h = 60 miles × 4.5 = 270 miles.

Distance 2 = 35mph × 1.5h = 35 miles / h × 1.5h = 35 miles × 1.5 = 52 1/2 miles.

Distance 1 + Distance 2 = Total distance.

270 miles + 52 1/2 miles = 322 1/2 miles.

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Jacob earned $80 babysitting and deposited the money into his savings account.The next week he spent $85 on video games.Use inte
IgorC [24]

Answer:

Here's what I get

Step-by-step explanation:

\begin{array}{cccc}\bf{Week}& \textbf{Earned/Spent} & \textbf{Change} & \textbf{Net Change}\\1 & \text{Earned \$80} & + 80 & + 80\\2 & \text{Spent \$85} & \mathbf{- 85} &\mathbf{-5}\\\end{array}

The net chance in Jacob's savings was +80 in the first week, -85 in the second week, and -5 overall.

3 0
3 years ago
Which distribution is used to test the claim that women have a higher mean resting heart rate than men?
xeze [42]

This question is incomplete, the complete question is;

Assume that two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Which distribution is used to test the claim that women have a higher mean resting heart rate than men?

A.t

B.F

C.Normal

D. Chi-square

Answer:

A) t  test

Step-by-step explanation:

A t-test uses sample information to assess how plausible it is for the population means μ1​ and μ2​ to be equal.

The formula for a t-statistic for two population means (with two independent samples), with unknown population variances shows us how to calculate t-test with mean and standard deviation and it depends on the assumption of having an equal variance or not.

If the variances are assumed to be not equal,

he formula is:

t =  (bar X₁ - bar X₂) / √( s₁²/n₁ + s₂²/n₂ )

If the variances are assumed to be equal, the formula is:

t =  (bar X₁ - bar X₂) / √ (((n₁ - 1)s₁² + (n₂ - 1)s₂²) / (n₁ + n₂ - 2)) ( 1/n₁ + 1/n₂)

it called t-test for independent samples because the samples are not related to each other, in a way that the outcomes from one sample are unrelated from the other sample.

hence option A is correct. t test

4 0
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Answer :

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Explanation:

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Learn more about Absolute Value here: brainly.com/question/729268

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