What is the value of x? 1/4x + 7 = 12

Mathematics

2 answers:

tatyana61 [14]3 years ago

8 0

1/4x+7=12

Subtract 7 from both sides

1/4x=5

Divide by 1/4 or multiply by the reciprocal

X=5*4
x=20

jonny [76]3 years ago

3 0

The value of x is 20

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With 95% confidence, the researcher estimates the mean birth weight of all babies born to women who are over the age of 40 to be

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This question is incomplete, the complete question is;

A medical researcher wants to estimate μ, the mean weight of babies born to women over the age of 40.

The researcher chooses a random sample of 100 pregnant women who are over 40. Using the mean birth weight of the 100 babies in the sample, the researcher calculates the 95% confidence interval for μ.

With 95% confidence, the researcher estimates the mean birth weight of all babies born to women who are over the age of 40 to be between 2935 and 3135 grams.

The researcher wants to maintain the 95% level of confidence but report a confidence interval with a smaller margin of error. What should she do

a) Redo the study and choose a different sample of size 100

b) Redo the study, but this time with a sample size 64

c) Redo the study, but this time with a sample 225

Answer:

Option C) is the correct answer.

C) Redo the study, but this time with a sample 225

Step-by-step explanation:

Given that;

A medical researcher wants to estimate μ, the mean weight of babies born to women over the age of 40.

n = 100

95% confidence interval is given ( 2935, 3135)

But the researcher wants to maintain the 95% level of confidence as well as smaller margin of error.

Therefore we have to reduce the margin of Error

and we know that if the sample size increases, the margin of Error decreases i.e it becomes smaller.

so the best option for the researcher is to redo the study with a larger sample size so the margin of Error becomes smaller.

Option C) is the correct answer.

c) Redo the study, but this time with a sample 225

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Equation of a line with an slope of 1/2 that contains (-4, 7)

nasty-shy [4]

Equation of a line with an slope of 1/2 that contains (-4, 7) is $y=\frac{1}{2} x+9$

Solution:

We have been given a point and slope of an equation and have been asked to write it in an equation. The two forms of writing a point and slope in equation are point slope form and standard form.

The standard form of a line is in the form Ax + By = C where A is a positive integer, and B, and C are integers. The standard form of a line is just another way of writing the equation of a line.

To write in standard form we will first write it in point slope form and then rearrange it into a standard from.

The formula for point slope form:

$y-y_{1}=m\left(x-x_{1}\right)$