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3 years ago

Iris found a value of 64 when she evaluated an expression.

Mathematics

2 answers:

Lerok [7]3 years ago

8 0

Answer:

1 , 3

thts is

Step-by-step explanation:

2020 edg

Brut [27]3 years ago

5 0

Answer:

a and c

Step-by-step explanation:

i got it riht

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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

3 years ago

Two sides of a parallelogram are 93 feet and 80 feet. The measure of the angle between these sides is 18°. Find the area of the

azamat

<h3>Answer: 2299 square feet</h3>

Work Shown:

area = a*b*sin(C)

area = 93*80*sin(18)

area = 2299.086438

area = 2299 square feet

8 0

2 years ago

What is the equation of the function that is graphed as line a?

Andrei [34K]

Answer:

Step-by-step explanation:

We see that the line intersects the y-axis at -1. As a result, we need to choose an equation with -1, either B or C. We see that the different is the slope. For choice B, the slope is $\frac{1}{3}$ , meaning that every unit up equates to 3 blocks to the right. Counting along the line, we see that this is correct.