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Sati [7]
3 years ago
10

The length of the sides of a triangle is given. Determine

Mathematics
1 answer:
Stels [109]3 years ago
3 0

Answer:

The triangle is a right triangle

Step-by-step explanation:

For the triangle to be right, Pythagoras’ theorem must be obeyed

According to the theorem, the square of the longest side (the hypotenuse) equals the sum of the squares of the two other sides

Now, from the given side lengths, the highest value is 10;

squaring this, we have 10^2 = 100

Squaring and adding the other values, we have

6^2 + 8^2 = 36 + 64 = 100

This mean the values are equal and the Pythagoras’ theorem is obeyed

Hence, we can conclude that the triangle with the given side lengths is a right triangle

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3y-6 divided by 9 = 4-2 divided by -3
sweet [91]

Answer:

y = 16/9

Step-by-step explanation:

Assuming "y" is a variable

3y - 6/9 = 4 - 2/-3

3y - 2/3 =14/3

3y - 16/3 = 0

1/3 (9y - 2) = 14/3

ANSWER = y : 16/9

4 0
3 years ago
Read 2 more answers
The formula for the volume of a sphere is. What is the formula solved for r?
nataly862011 [7]

Answer:

r = \sqrt[3]{\dfrac{3V}{4 \pi}}

Step-by-step explanation:

V = \dfrac{4}{3}\pi r^3

\dfrac{4}{3}\pi r^3 = V

\pi r^3 = \dfrac{3V}{4}

r^3 = \dfrac{3V}{4 \pi}

r = \sqrt[3]{\dfrac{3V}{4 \pi}}

3 0
2 years ago
May I please get help with this. Thank you so much
Goryan [66]

Answer: 131 degrees

Step-by-step explanation:

20y-11+4y+6+7y-7=360

31y-12=360

+12. +12

31y= 372

Divide by 31

Y= 12

BC= 4y+6+7y-7

4(12)+6+7(12)-7

BC= 131

8 0
3 years ago
math problme After hearing of the national result that 44% of students engage in binge drinking (5 drinks at a sitting for men,
natali 33 [55]

Answer:

According to the result of the hypothesis test, there is no significant difference between the true population proportion of students who binge drink according to the results of the Professor's survey and the national standard of 0.44.

So, the Professor shouldn't be surprised by this result.

Step-by-step explanation:

- The known standard proportion of students for binge drinking is 44% = 0.44.

- In the Professor's random sample, 96 out of 244 students admitted to binge drinking in the past week.

- So, we need to check if the result of the random sample is in keeping with the known national standard.

For hypothesis testing, the first thing to define is the null and alternative hypothesis.

The null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test.

While, the alternative hypothesis usually confirms the the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test.

For this question, the null hypothesis is that there is no significant difference between the true population proportion of students who binge drink according to the results of the Professor's survey and the national standard of 0.44.

The alternative hypothesis will now be that there is significant difference between the true population proportion of students who binge drink according to the results of the Professor's survey and the national standard of 0.44.

Mathematically,

The null hypothesis is represented as

H₀: p = 0.44

The alternative hypothesis is given as

Hₐ: p ≠ 0.44

To do this test, we will use the t-distribution because no information on the population standard deviation is known

So, we compute the t-test statistic

t = (x - μ)/σₓ

x = sample proportion of the Professor's poll = (96/244) = 0.393

μ = p₀ = the national standard = 0.44

σₓ = standard error = √[p(1-p)/n]

where n = Sample size = 244

σₓ = √[0.393×0.607/244] = 0.0313

t = (0.393 - 0.44) ÷ 0.0313

t = -1.50

checking the tables for the p-value of this t-statistic

Degree of freedom = df = n - 1 = 244 - 1 = 243

Significance level = 0.05 (most tests are performed at 5% significance level)

The hypothesis test uses a two-tailed condition because we're testing in the two directions.

p-value (for t = -1.50, at 0.05 significance level, df = 243, with a two tailed condition) = 0.134913

The interpretation of p-values is that

When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.

So, for this question, significance level = 0.05

p-value = 0.134913

0.134913 > 0.05

Hence,

p-value > significance level

This means that we fail to reject the null hypothesis & say that there is not enough evidence to conclude that there is a significant difference between the true population proportion of students who binge drink according to the Professor's survey and the national standard.

That is, there is no significant difference between the true population proportion of students who binge drink according to the results of the Professor's survey and the national standard of 0.44.

Hope this Helps!!!

8 0
3 years ago
Help plzzzSolution set of 25x2 – 1 = 0 is ____________.
kari74 [83]

Answer:

x = 1/5 ,  and   x = - 1/5

Step-by-step explanation:

25x² – 1 = 0

5²x² - 1² = 0

(5x - 1)(5x + 1) = 0

5x -1 = 0,  5x + 1 = 0

x = 1/5 ,     x = - 1/5

8 0
3 years ago
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