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Yuliya22 [10]
3 years ago
7

Decide which of the triangles are a right triangle. The figures are now drawn to scale

Mathematics
1 answer:
Kruka [31]3 years ago
3 0

Answer: triangle A

Step-by-step explanation:

Please give me brainliest

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Consider the accompanying data on breaking load (kg/25mm width) for various fabrics in both an unabraded condition and an abrade
WITCHER [35]

Answer:

The critical value for a one-tailed test with 7 degrees of freedom and level of significance α=0.01 is tc=2.998.

The test statistic (t=1.729) is below the critical value and falls within the acceptance region, so it is failed to reject the null hypothesis.

At a significance level of 0.01, there is not enough evidence to support the claim that the true difference is significantly bigger than 0.

Step-by-step explanation:

We have a matched-pair t-test for the difference.

We have the null and alternative hypothesis written as:

H_0: \mu_d=0\\\\H_a: \mu_d>0

We have n=8 pairs of data. We calculate the difference as:

d_1=U_1-A_1=36.4-28.5=7.9

Then, with this procedure we get the sample for d:

d=[7.9,\, 35,\, 5.5,\, 4.2,\, 6.7,\, -3.7,\, -0.9,\, 3.3]

The sample mean and standard deviation are:

M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{8}(7.9+35+5.5+. . .+3.3)\\\\\\M=\dfrac{58}{8}\\\\\\M=7.25\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{7}((7.9-7.25)^2+(35-7.25)^2+(5.5-7.25)^2+. . . +(3.3-7.25)^2)}\\\\\\s=\sqrt{\dfrac{985.08}{7}}\\\\\\s=\sqrt{140.73}=11.86\\\\\\

Now, we can perform the one-tailed hypothesis test.

The significance level is 0.01.

The sample has a size n=8.

The sample mean is M=7.25.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=11.86.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{11.86}{\sqrt{8}}=4.1931

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{7.25-0}{4.1931}=\dfrac{7.25}{4.1931}=1.729

The degrees of freedom for this sample size are:

df=n-1=8-1=7

This test is a right-tailed test, with 7 degrees of freedom and t=1.729, so the P-value for this test is calculated as (using a t-table):

\text{P-value}=P(t>1.729)=0.0637

As the P-value (0.0637) is bigger than the significance level (0.01), the effect is not significant.

The null hypothesis failed to be rejected.

At a significance level of 0.01, there is not enough evidence to support the claim that the true difference is significantly bigger than 0.

If we use the critical value approach, the critical value for a one-tailed test with 7 degrees of freedom and level of significance α=0.01 is tc=2.998. The test statistic is below the critical value and falls within the acceptance region, so it is failed to reject the null hypothesis.

8 0
2 years ago
ryan has $250 he spent 40% of his money on a skateboard and 20% on a helmet. what percentage of his money did he spend
Mamont248 [21]
He spent 60% of his money
7 0
2 years ago
Read 2 more answers
sam wants to cut a 57'' piece of wire into pieces 3/4 long. how many pieces how many pieces will he be able to cut
NeTakaya
This is a division problem involving fractions.
57 / (3/4)
57 * (4/3) =
128/3 = 76 pieces of wire
8 0
3 years ago
Beau's recipe fro granola bars calls for 3 1/2 cups of oatmeal. He only has 1/6 scoop. How many scoops of oatmeal will he need t
natulia [17]

\boxed{21} scoops of oatmeal will he need to complete the recipe.

Further explanation:

Given:

Beau's recipe from granola bars calls for 3\dfrac{1}{2} cups of oatmeal.

He only is \dfrac{1}{6} scoop.

Explanation:

The cups of oatmeal called for the recipe is 3\dfrac{1}{2}.

Solve the improper fraction 3\dfrac{1}{2}.

\begin{aligned}{\text{Fraction}}&=\frac{{2 \times 3 + 1}}{2}\\&=\frac{{6 + 1}}{2}\\&=\frac{7}{2}\\\end{aligned}

The Beau has \dfrac{1}{6}{\text{ scoop}}.

The number of scoops required to complete the recipe can be obtained as follows,

\begin{aligned}N&=\frac{{{\text{total cups of oatmeal}}}}{{{\text{the fraction of scoop Beau has}}}}\\&=\frac{{\frac{7}{2}}}{{\frac{1}{6}}}\\&= \frac{7}{2} \times6\\&=\frac{{42}}{2}\\&= 21\\\end{aligned}

Number of scoops required to complete the oatmeal is 21{\text{ scoops}}.

Therefore, \boxed{21} scoops of oatmeal will he need to complete the recipe.

Learn more:

1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Fractions

Keywords: fraction, Beau’s recipe, granola bars, calls, 3 1/2 cups of oatmeal, scoops, recipe, ratio, 1/6 scoop, complete the recipe.

5 0
3 years ago
Which of the following expressions are equivalent to 3V 2 ? Select all that apply. ​
allsm [11]

Answer:   A  C and D

                               

Step-by-step explanation:

3 0
2 years ago
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