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3 years ago

What value of X guarantees that BC || DE?

Mathematics

1 answer:

Gemiola [76]3 years ago

3 0

Answer:

Step-by-step explanation:

as BC║DE

so, AD:BD=AE:CE

or, CE=(BDₓAE)/AD

or, x=(5×16)/20=4

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Suppose a sample of 100 families of four vacationing at Niagara Falls resulted in sample mean of $282.45 spent per day and a sam

Juli2301 [7.4K]

Given Information:

Mean = μ = $282.45

Standard deviation = σ = $64.50

Sample size = n = 100

Confidence level = 95%

Required Information:

95% Confidence interval = ?

Answer:

95% Confidence interval = ($269.81, $295.09)

Step-by-step explanation:

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.

What is Confidence Interval?

The confidence interval represents an interval that we can guarantee that the target variable will be within this interval for a given confidence level.

The confidence interval is given by

$CI = \bar{x} \pm MoE\\$

Where $\bar{x}$ is the mean and MoE is the margin of error given by

$MoE = z_{\alpha/2}(\frac{\sigma}{\sqrt{n} } ) \\$

Where σ is the standard deviation, n is the sample size and $z_{\alpha/2}$ is the z-score corresponding to 95% confidence level.

$z_{\alpha/2} = 1 - 0.95 = 0.05/2 = 0.025\\\\z_{0.025} = 1.96$

$MoE = 1.96\cdot \frac{64.50}{\sqrt{100} } \\\\MoE = 1.96\cdot 6.45\\\\MoE = 12.64\\$

Finally, the confidence interval is

$CI = \bar{x} \pm MoE\\\\CI = 282.45 \pm 12.64\\\\CI = 282.45 - 12.64 \: and \: 282.45 + 12.64\\\\CI = \$269.81 \: and \:\:\$295.09\\$

Therefore, we are 95% sure that the true population mean amount spent per day by a family of four visiting Niagara Falls is within the interval of ($269.81, $295.09)

3 0

2 years ago

Extra points help me please

podryga [215]

Answer:

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

How do you combine like terms of -8(r-2) + 6(r-2) ??? Will mark brainliest if the answer is right.

solmaris [256]

Answer:

$-2r+4$

Step-by-step explanation:

$-8(r-2)+6(r-2)$

Distribute:

$(-8)(r)+(-8)(-2)+(6)(r)+(6)(-2)\\-8r+16+6r+-12$

Combine like terms:

$(-8r+6r)+(16+-12)\\-2r+4$

-2r + 4 is your answer.

6 0

3 years ago

Incorrect

kipiarov [429]

Answer:

46.3%/100 x 162 = 75.006 games. I guess you could round it off to 75 games

6 0

2 years ago

If the p-value is smaller than the level of significance, what conclusion should we reach?

marshall27 [118]

If the p-value is smaller than the level of significance, then it indicates strong evidence against the null hypothesis, as there is less than a 5% probability the null hypothesis is correct.

In this question,

A p-value is a probability, calculated after running a statistical test on data and it lies between 0 and 1. The p-value only tells you how likely the data you have observed is occurred under the null hypothesis.

One of the most commonly used p-value is 0.05. If the value is greater than 0.05, the null hypothesis is considered to be true. If the calculated p-value turns out to be less than 0.05, the null hypothesis is considered to be false, or nullified (hence the name null hypothesis).

A small p-value (< 0.05 in general) means that the observed results are unusual, assuming that they were due to chance only. Now, the smaller the p-value, the stronger the evidence that should reject the null hypothesis.

Hence we can conclude that if the p-value is smaller than the level of significance, then it indicates strong evidence against the null hypothesis, as there is less than a 5% probability the null hypothesis is correct.

Learn more about p-value here

brainly.com/question/15855760

#SPJ4

7 0

1 year ago