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3 years ago

Please help fast Prefer A Expert or Above to Help Me out it’s the bottom one!

Mathematics

1 answer:

erastova [34]3 years ago

7 0

<h3>Answer: 45</h3>

The value is approximate.

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Explanation:

Focus on the upper triangle.

Label the unknown horizontal side as y

Use the pythagorean theorem to solve for y

a^2+b^2 = c^2

10^2 + y^2 = 26^2

100+y^2 = 676

y^2 = 676-100

y^2 = 576

y = sqrt(576)

y = 24

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Now move to the bottom triangle

With respect to the reference angle, the side y = 24 is opposite this. The hypotenuse is unknown.

Use the sine rule to connect the two and solve for x

sin(angle) = opposite/hypotenuse

sin(32) = y/x

sin(32) = 24/x

x*sin(32) = 24

x = 24/sin(32)

x = 45.2899179551967 which is approximate

x = 45 rounding to the nearest whole number

Side x is approximately 45 cm long.

Note: make sure your calculator is in degree mode.

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Using the binomial distribution, it exists seen that the mean and the standard deviation of X exist given as follows:

$$\mu_{X}=3, \sigma_{X}=0.87$

<h3>What is the binomial probability distribution?</h3>

The expected value of the binomial distribution exists:

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The standard deviation of the binomial distribution exists:

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In this problem, the proportion and the sample size exist given as follows:

p = 0.75

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Therefore, the mean and the standard deviation exist given by:

$$&\mu_{X}=n p=4(0.75)=3 \\$

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To learn about the binomial distribution refer to:

brainly.com/question/24863377

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