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Evgesh-ka [11]
3 years ago
13

What is the value of k? k = 28 k = 29 k = 31 k = 42

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
8 0
K=29 is the correct answer
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An equation of the circle with center (h, k) and radius r is (−ℎ)^2+(−)^2=^2
Verdich [7]

Answer:

An equation of the circle with center (h, k) and radius r:

(x-h)^2+(y-k)^2=r^2

Step-by-step explanation:

Not sure what you need to find out but,

An equation of the circle with center (h, k) and radius r:

(x-h)^2+(y-k)^2=r^2

4 0
2 years ago
2) If Jenny wants to make 80 cups of punch, how many cups of each ingredient will she<br> need?
Lady_Fox [76]
Well we would know if you told us the ingridients
5 0
3 years ago
You can download songs online for $0.99 each. Write an equation relating the total cost (c) to the number of songs (s) you downl
Nookie1986 [14]

Answer:

It would cost $49.50

$0.99 x 50 = $49.50

5 0
3 years ago
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
Given Trapezoid JOKE with m
yKpoI14uk [10]

Answer:

m∠J =90°
m∠O = 140°

Step-by-step explanation:

We see here angle J having 90°, pure right angle shape.

m<J=90

Then we find the total interior angle using (n-2)*180

(4-2)*180

360°

So, m∠O = 360° - m∠J - m∠E -m∠K

m∠O = 360° - 90° - 80° -50°

m∠O = 140°

3 0
2 years ago
Read 2 more answers
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