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3 years ago

Given: △AMK m∠M = 90° AM = 5, MK = 7 Find: AK

Mathematics

2 answers:

morpeh [17]3 years ago

5 0

The triangle is clearly a right triangle because in AMK, m<M = 90 - so M is definitely 90* making it the base of your right triangle. If AM = 5, MK = 7, they both correlate to the base of your triangle of 90*. Using the pythagorean theorem, 7^2 + 5^2 = 49 + 25 = 74. You then find the square root of 74 which is approximately 8.6.

<h2><u><em>Answer === 8.6 </em></u></h2>

Rzqust [24]3 years ago

4 0

check the picture below.

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statuscvo [17]

Step-by-step explanation:

4x^2-9

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2 years ago

Solve the equation for x.<br> 3x + 11 – X + 23 = 4

avanturin [10]

Answer:

x = -15

Step-by-step explanation:

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3 years ago

Which statement best describes how the first-person narration in Fever 1793 engages readers?

frosja888 [35]

Answer:

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3 years ago

Change the decimal into a %:0.7

Tomtit [17]

Simply multiply 0.7 by 100. 0.7 x 100= 70%. The answer is 70%

8 0

3 years ago

Read 2 more answers

Consider a chemical company that wishes to determine whether a new catalyst, catalyst XA-100, changes the mean hourly yield of i

kolezko [41]

Answer:

Null hypothesis: $\mu = 750$

Alternative hypothesis: $\mu \neq 750$

$t=\frac{811-750}{\frac{19.647}{\sqrt{5}}}=6.943$

$p_v =2*P(t_{4}>6.943)=0.00226$

If we compare the p value and a significance level assumed $\alpha=0.05$ we see that $p_v$ so we can conclude that we reject the null hypothesis, and the actual true mean is significantly different from 750 pounds per hour.

Step-by-step explanation:

Data given and notation

Data: 801, 814, 784, 836,820

We can calculate the sample mean and sample deviation with the following formulas:

$\bar X =\frac{\sum_{i=1}^n X_i}{n}$

$s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

$\bar X=811$ represent the sample mean

$s=19.647$ represent the standard deviation for the sample

$n=5$ sample size

$\mu_o =750$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses to be tested

We need to conduct a hypothesis in order to determine if the mean is different from 750 pounds per hour, the system of hypothesis would be:

Null hypothesis: $\mu = 750$

Alternative hypothesis: $\mu \neq 750$

Compute the test statistic

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

We can replace in formula (1) the info given like this:

$t=\frac{811-750}{\frac{19.647}{\sqrt{5}}}=6.943$

Now we need to find the degrees of freedom for the t distirbution given by:

$df=n-1=5-1=4$

What do you conclude?

Compute the p-value

Since is a two tailed test the p value would be:

$p_v =2*P(t_{4}>6.943)=0.00226$

4 0

3 years ago