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Advocard [28]
3 years ago
13

A sample of 64 was taken from a population, with the mean of the sample being 119 and the standard deviation of the sample being

16. What is the 95% confidence interval for the mean of the population?
A. (115, 123)
B. (117, 121)
C. (113, 125)
D. (118, 120)
Mathematics
1 answer:
Fofino [41]3 years ago
6 0
We have the sample size, sample mean and the sample standard deviation. Since the population standard deviation is not know, we will use t-distribution to find the confidence interval.

The critical t value for 95% confidence interval and 63 degrees of freedom is 1.998.

The 95% confidence for the population mean will be:

(119-1.998 *\frac{16}{ \sqrt{64} } ,119+1.998 *\frac{16}{ \sqrt{64} }) \\  \\ 
=(115.004, 122.996) \\ \\=(115,123)

Thus, the 95% confidence interval for the population mean will be (115,123)

So, option A is the correct answer
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Answer:

10). 5x + (7x + 6) = 90

11). x = 7

Step-by-step explanation:

From the picture attached,

Sum of given angles measures 90°

Measures of the angles are (5x)° and (7x + 6)°

Therefore, equation to determine the values of x will be,

5x + (7x + 6) = 90

By combining similar terms of the equation,

12x + 6 = 90

12x = 90 - 6

12x = 84

x = \frac{84}{12}

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Therefore, by solving the equation value of x will be 7.

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3 years ago
The original value of a car is $18,000, and it depreciates (loses value) by 15% each year. What is the value of the car after th
Sliva [168]
A reduction of 15% per year means 100-15=85% reducing factor.
1st year: 0.85×18000=$15300.
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3rd year: 0.85×13005=$11054.25.
So after 3 years the value of the car is $11054.25 or $11054 to the nearest dollar.
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3 years ago
2. Express the given statement as an algebraic expression.<br>Sum ofa and 5 divided by 8​
bezimeni [28]

Answer:

An algebraic expression for <em>Sum of a and 5 divided by 8</em>​ is  \mathbf{\frac{a+5}{8}}

Step-by-step explanation:

We need to express the given statement as an algebraic expression.

Sum of a and 5 divided by 8​

Basically, we are given the expression in English sentence and we have to write algebraic expression.

It can be done in two steps:

Sum of a and 5 = We know that sum is denoted by + sign. So, we get (a+5)

Sum of a and 5 divided by 8​ = \frac{a+5}{8}

So, An algebraic expression for <em>Sum of a and 5 divided by 8</em>​ is  \mathbf{\frac{a+5}{8}}

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Zinaida [17]
C. Love you c bye baby girl bye baby baby love love miss you have us for some time
8 0
2 years ago
What is 3 divided 162
dmitriy555 [2]

Answer:

0.185185185185185185.........

Step-by-step explanation:

i used a  calculator, to the nearst tenth is 0.18 to the nearest 100th is 0.185 also the 185 is repeating so u put a line over the numbers 185

4 0
3 years ago
Read 2 more answers
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