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Pavlova-9 [17]
3 years ago
6

A random sample of size 15 taken from a normally distributed population revealed a sample mean of 75 and a sample variance of 25

. The upper limit of a 95% confidence interval for the population mean would equal:
Mathematics
1 answer:
xeze [42]3 years ago
4 0

Answer:

77.53

Step-by-step explanation:

Sample size (n) = 15

Sample mean (μ) = 75

Sample variance (V) = 25

Sample standard deviation (σ) = 5

For a 95% confidence interval, z-score = 1.960

The upper limit of the confidence interval is defined as:

UL=\mu+z\frac{\sigma}{\sqrt{n}}\\UL=75+1.960\frac{5}{\sqrt{15}} \\UL = 77.53

Therefore, the upper limit of the 95% confidence interval proposed is 77.53.

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A farmer sells 7.7 kilograms of apples and pears.3/5 of this weight is apples, and the rest is pears. How many kilograms of pear
kompoz [17]

Answer:

The weight of pears is 3.08 kg

Step-by-step explanation:

A farmer sells 7.7 kilograms of apples and pears.

3/5 of this weight is apples.

This means that the weight of apples is:

3/5 of 7.7

=> \frac{3}{5} * 7.7 = 4.62kg

The weight of apples is 4.62 kg.

The weight of pears will therefore be:

7.7 - 4.62 = 3.08 kg

The weight of pears is 3.08 kg.

6 0
3 years ago
In the figure, line m is parallel to line n. Name a pair of alternate interior angles.
MakcuM [25]
Answer

7,3'

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8 0
3 years ago
1. Is y = -x - 1 quadratic? Explain.
Tpy6a [65]
No because the formula for a quadratic equation is ax^2+bx+c=0
This is a linear equation however.
Hope this helps
4 0
3 years ago
How to do ratio equivalents
Oksi-84 [34.3K]
Equivalent Ratios. Students learn to find equal ratios by first writing the given ratio as a fraction, then multiplying the numerator and denominator of the fraction by the same number. For example, to find two ratios that are equal to 1:7, first write 1:7 as the fraction 1/7. I hope this helps
3 0
3 years ago
It takes 1 hour (t) to fill the water tank of volume (V) 750 m3. Identify the dependent and the independent variables.
Natalija [7]

Answer:

The time t is the independent variable while the volume V is the dependent variable

Step-by-step explanation:

A variable is a parameter that changes.

We have two types namely dependent and independent variables.

A dependent variable is a variable which its value needs to be determined based on the value of another variable while and independent variable is a variable which its value independent of other parameters.

In our question, It takes 1 hour (t) to fill the water tank of volume (V) 750 m3.

The volume of the tank V changes as time changes. So the volume of the tank V is dependent on time, t.  

So V is proportional to t

Since the volume of the tank is the variable that needs to be determined based on another variable-which is time,t- it is the dependent variable, while the time,t is the independent variable since its value is not determined based on other parameters.

4 0
3 years ago
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