What is the value of x for the parallelogram shown? A. 30 B. 75 C. 60 D. 15

Mathematics

1 answer:

vitfil [10]3 years ago

6 0

Answer:

A.30

Step-by-step explanation:

^ABC = 180⁰-60⁰=120⁰

=> 4x⁰=120⁰

=> x = 30⁰

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How do you distribute 4(x+1)

puteri [66]

Answer:

$4x+4$

Step-by-step explanation:

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3 years ago

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When Carson runs the 400 meter dash, his finishing times are normally distributed with a mean of 65 seconds and a standard devia

just olya [345]

Given Information:

Mean time to finish 400 meter dash = μ = 65 seconds

Standard deviation to finish 400 meter dash = σ = 2.5 seconds

Confidence level = 95%

Required Information:

95% confidence interval = ?

Answer:

$CI = 60 \: to \: 70 \: seconds$

Step-by-step explanation:

In the normal distribution, the empirical rule states approximately 68% of all the data lie within 1 standard deviation from the mean, approximately 95% of all the data lie within 2 standard deviations from the mean and approximately 99.7% of all the data lie within 3 standard deviations from the mean.

The confidence interval for 95% confidence limit is given by

$CI = \mu \pm 2\sigma$

Since approximately 95% of all the data lie within 2 standard deviations from the mean. μ is the mean time Carson takes to finish 400 meter dash and σ is the standard deviation.

$CI = 65 \pm 2(2.5)$