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Hoochie [10]
3 years ago
6

What is the best estimate for the length of a bike

Mathematics
1 answer:
castortr0y [4]3 years ago
8 0
<span>The average length of a bike (including the length of both wheels) is about 68 inches.For finding the true answer we must follow the following convertion rule: 1 inch is equivalent to 0.02 yard, so 68 inches equal to 1.88 yards. Consequently, the value nearest 1.88 yards is 1.5 yards, so the answer is the choice A: 1.5 yards. </span>
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A researcher compares two compounds (1 and 2) used in the manufacture of car tires that are designed to reduce braking distances
wariber [46]

Answer:

Step-by-step explanation:

Hello!

The objective of this experiment is to compare two compounds, designed to reduce braking distance, used in tire manufacturing to prove if the braking distance of SUV's equipped with tires made with compound 1 is shorter than the braking distance of SUV's equipped with tires made with compound 2.

So you have 2 independent populations, SUV's equipped with tires made using compound 1 and SUV's equipped with tires made using compound 2.

Two samples of 81 braking tests are made and the braking distance was measured each time, the study variables are determined as:

X₁: Braking distance of an SUV equipped with tires made with compound one.

Its sample mean is X[bar]₁= 69 feet

And the Standard deviation S₁= 10.4 feet

X₂: Braking distance of an SUV equipped with tires made with compound two.

Its sample mean is X[bar]₂= 71 feet

And the Standard deviation S₂= 7.6 feet

We don't have any information on the distribution of the study variables, nor the sample data to test it, but since both sample sizes are large enough n₁ and n₂ ≥ 30 we can apply the central limit theorem and approximate the distribution of both variables sample means to normal.

The researcher's hypothesis, as mentioned before, is that the braking distance using compound one is less than the distance obtained using compound 2, symbolically: μ₁ < μ₂

The statistical hypotheses are:

H₀: μ₁ ≥ μ₂

H₁: μ₁ < μ₂

α: 0.05

The statistic to use to compare these two populations is a pooled Z test

Z= \frac{(X[bar]_1-X[bar]_2)-(Mu_1-Mu_2)}{\sqrt{\frac{S^2_1}{n_1} +\frac{S^2_2}{n_2} } }

Z ≈ N(0;1)

Z_{H_0}= \frac{69-71-0}{\sqrt{\frac{108.16}{81} +\frac{57.76}{81} } }= -1.397

The rejection region if this hypothesis test is one-tailed to the right, so you'll reject the null hypothesis to small values of the statistic. The critical value for this test is:

Z_{\alpha  } = Z_{0.05}= -1.648

Decision rule:

If Z_{H_0} > -1.648 , then you do not reject the null hypothesis.

If Z_{H_0} ≤ -1.648 , then you reject the null hypothesis.

Since the statistic value is greater than the critical value, the decision is to not reject the null hypothesis.

At a 5% significance level, you can conclude that the average braking distance of SUV's equipped with tires manufactured used compound 1 is greater than the average braking distance of SUV's equipped with tires manufactured used compound 2.

I hope you have a SUPER day!

4 0
3 years ago
What is the slope for (6,2) (9,8)
fredd [130]

Answer:

3/6

Step-by-step explanation:

The slope is how one number gets to the next, in this instance we have point (6,2) at x=6 y=2 to get from there to the next point x=9 y=8 we would have to count up three and over six. Therefore, the answer is 3/6.

Hope this helps!

5 0
3 years ago
PLEASE ANSWER I WILL GIVE YOU BRAINIEST IF CORRECT!!!!!!!<br> thanks!
Flauer [41]

Answer:

700 is your answer

Step-by-step explanation:

ok so 5x120=600 +100=700 so 700 is your answer

8 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B1-secx%7D%20" id="TexFormula1" title=" \frac{1}{1-secx} " alt=" \frac{1}{1
lidiya [134]
We have the <span> Trigonometric Identities : </span>secx = 1/cosx; (sinx)^2 + (cosx)^2 = 1;
Then, 1 / (1-secx) = 1 / ( 1 - 1/cosx) = 1 / [(cosx - 1)/cosx] = cosx /
(cosx - 1 ) ;
Similar, 1 / (1+secx) = cosx / (1 + cosx) ;
 cosx / (cosx - 1)  +  cosx / (1 + cosx) = [cosx(1 + cosx) + cosx (cosx - 1)] / [ (cosx - 1)(cox + 1)] =[cosx( 1 + cosx + cosx - 1 )] / [ (cosx - 1)(cox + 1)] =  2(cosx)^2 / [(cosx)^2 - (sinx)^2] = <span> 2(cosx)^2 / (-1) = - 2(cosx)^2;
</span>
4 0
3 years ago
PLS HELP ME WOULD REALLY appreciate It!!!
bonufazy [111]

Answer:

C. Acute and Isosceles

Step-by-step explanation:

Acute means the angles are less than 90 degrees. All of the triangles angles are less than 90 degrees.

Isosceles means they have 2 sides of equal length. In the triangle, there are 2 sides with the length of 6 in, making this an isosceles triangle

6 0
2 years ago
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