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irinina [24]
2 years ago
9

You are picking out an outfit to wear for school. You have the option of wearing jeans, a pair of khakis, or a pair of shorts; a

white shirt, a yellow shirt or an orange shirt; and a pair of tennis shoes, a pair of flip flops or a pair of dress shoes. How many different outfit combinations do you have?
Mathematics
1 answer:
julia-pushkina [17]2 years ago
7 0

Answer:

You have 24

Step-by-step explanation:

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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
Find the value of x in the triangle shown below.​
nika2105 [10]

Answer:

x =  \sqrt{28}

Step-by-step explanation:

Given,

Base of the triangle = 6

Hypotenuse of the triangle = 8

Let the height of the triangle = x

Therefore, According to Pythagoras Theorem,

{8}^{2}  -  {6}^{2}  =  {x}^{2}

=  > 64 - 36 =  {x}^{2}

=  > 28 =  {x}^{2}

=  > x =  \sqrt{28} (ans)

6 0
3 years ago
(4r2 – 3r + 2) – (-r2 – 3r) =
sasho [114]

Answer:

5r^2+2

Step-by-step explanation:

(4r^2 – 3r + 2) – (-r^2 – 3r) =

Distribute the minus sign

(4r^2 – 3r + 2)  +r^2 + 3r =

Combine like terms

(4r^2 + r^2 – 3r+ 3r + 2) =

5r^2+2

5 0
3 years ago
The percent markup is ____​%
morpeh [17]

Answer:

the percent is almost 42.9

Step-by-step explanation:

4 0
3 years ago
There are 9 times as many cubes in the black bag as in the green bag. The green bag has 12 cubes. How many cubes are in the blac
Delicious77 [7]

Answer:

108 cubes

Step-by-step explanation: 9 times 12 equals 108

9 • 12 = 108 cubes

4 0
2 years ago
Read 2 more answers
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