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Artist 52 [7]
3 years ago
15

We went on a road trip and drove 70 miles per hour.If we continued at this speed,how long would it take us to drive 420 miles.sh

ow problem
Mathematics
1 answer:
jonny [76]3 years ago
4 0

Answer:

6 hours

Step-by-step explanation:

420 ÷ 70 = 6. Divide the distance and speed to get the amount of time.

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Plz answer quickly will you brainlist
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Step-by-step explanation:

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3 years ago
(c) Express the diagonal of a rectangle, D, in terms of its width, w, if the area of the rectangle is 13 square feet.
Mrrafil [7]
We are asked to express the diagonal of a rectangle in terms of the width in which the area of the polygon is equal to 13 square feet. The area of teh rectangle is equal to length times width. That is 13 = lw; diagonal using pythagorean theorem is sqrt ( l2 + w2). Thus d =  sqrt ( (13/w)2 + w2) = sqrt ( (169/w2 + w2) = sqrt ( (169 + w4)/w2) = 1/w  sqrt (169 + w4)
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3 years ago
Read 2 more answers
What is 13.989 to the nearest hundredth place?
Rashid [163]

Answer:

13.99

Step-by-step explanation:

So the hundredths place is the second digit after the decimal point in this case it is 8.

So the number after it is 9 so we round up.

The number after 8 is 9

So 13.989 to the nearest hundredth place is 13.99

3 0
3 years ago
How do you do this ​
77julia77 [94]

Answer:

3.54

Step-by-step explanation:

6 x $0.59 = $3.54

you multiply the 6 times the 59 cents

3 0
3 years ago
Suppose a consumer group suspects that the proportion of households that have three cell phones NOT known to be 30%. A cell phon
leva [86]

Answer:

We conclude that the actual percentage of households is equal to 30%.

Step-by-step explanation:

We are given that a consumer group suspects that the proportion of households that have three cell phones NOT known to be 30%.

Their marketing people survey 150 households with the result that 43 of the households have three cell phones.

Let p = <u><em>proportion of households that have three cell phones NOT known.</em></u>

So, Null Hypothesis, H_0 : p = 30%      {means that the actual percentage of households is equal to 30%}

Alternate Hypothesis, H_A : p \neq 30%     {means that the actual percentage of households different from 30%}

The test statistics that would be used here <u>One-sample z-test for proportions;</u>

                                T.S. =  \frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion of households having three cell phones = \frac{43}{150} = 0.29

           n = sample of households = 150

So, <u><em>the test statistics</em></u>  =  \frac{0.29-0.30}{\sqrt{\frac{0.30(1-0.30)}{150} } }  

                                     =  -0.27

The value of z test statistic is -0.27.

<u>Also, P-value of the test statistics is given by;</u>

              P-value = P(Z < -0.27) = 1 - P(Z \leq 0.27)

                            = 1 - 0.6064 = <u>0.3936</u>

<u>Now, at 1% significance level the z table gives critical value of -2.58 and 2.58 for two-tailed test.</u>

Since our test statistic lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <em><u>we fail to reject our null hypothesis</u></em>.

Therefore, we conclude that the actual percentage of households is equal to 30%.

4 0
3 years ago
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