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grigory [225]
3 years ago
9

What is the answer to 27+5×6

Mathematics
1 answer:
Alenkasestr [34]3 years ago
8 0
Refer to BIDMAS.
5*6=30
27+30=57
Your answer is 57.
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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
PLEASE HELP ASAP 25pts
MrRissso [65]
The answer is B my friend

4 0
3 years ago
Read 2 more answers
What is the solution of -2x = -16
Vilka [71]
Divide both sides by -2

two negatives make a positive and that's true so x = 16/2 so divide it

x = 8 because 2 x 8 = 16 and 2/16 = 8 so true.

Answer: x = 8.
7 0
3 years ago
How do you turn 72.1 repeating number into a fraction?
SCORPION-xisa [38]
72 1/9

0.1 recurring of the number 1 is 1/9 of the number 
5 0
2 years ago
max bought 2 3/4 punds of green apples, 1 5/8 pounds of yellow apples, and 1 5/8 pounds red apples. the total cost was $5.40. wh
dangina [55]
2 3/4 + 1 5/8 + 1 5/8 =
2 + 1 + 1 = 4 (add the whole numbers)
3/4 + 5/8 + 5/8 = 6/8 + 5/8 + 5/8 = 16/8 = 2 (add the fractions)
4 + 2 = 6 total lbs

5.40 for 6 lbs = 5.40/6 = 0.90  (so the apples cost 90 cents per lb)
7 0
3 years ago
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