What is $40.39 times x

consider the following scenario: Assume daily protein intake values in a population of athletes are known to have a standard dev

Kipish [7]

Answer:

The 95% confidence interval for the population mean daily protein intake is between 69.97g and 84.03g.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.96*\frac{58.6}{\sqrt{267}} = 7.03$

The lower end of the interval is the sample mean subtracted by M. So it is 77 - 7.03 = 69.97g.

The upper end of the interval is the sample mean added to M. So it is 77 + 7.03 = 84.03g.

The 95% confidence interval for the population mean daily protein intake is between 69.97g and 84.03g.

5 0

3 years ago

Find the slope of the line going through the points (0, -5) and (-2,1)

kvasek [131]

Answer:

$\displaystyle m=-3$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)
Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Point (0, -5)

Point (-2, 1)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]: $\displaystyle m=\frac{-5-1}{0--2}$
[Fraction - Denominator] Simplify: $\displaystyle m=\frac{-5-1}{0+2}$
[Fraction - Numerator] Subtract: $\displaystyle m=\frac{-6}{0+2}$
[Fraction - Denominator] Add: $\displaystyle m=\frac{-6}{2}$
[Fraction] Divide: $\displaystyle m=-3$

8 0

3 years ago

The point (2, 3) is on the line given by which equation below?

love history [14]

Plug in the points and see if y and x are equal to each other.

(2,3)
y= x-1
3= 2-1
3= 1 (not the solution)

y=3x
3=3*3
3=9 (not the solution)

y=x+1
3=2+1
3=3 (solution) We can check to make sure.

y=-3x
3=-3*3
3=-9 (not the solution)

y=x+1 is the answer.

I hope this helps!
~kaikers

5 0

3 years ago

Read 2 more answers

Position vectors m and n have terminal points of (2, ) and (1, y), respectively.

OLEGan [10]

This problem involves the dot product.

You must provide all info for position vector m. Your (2,) is inadequate.

Supposing that the terminal point of vector m were (2,3), then

m dot n would equal 8, or 8 = 2*2+3*y. Then 8 = 4 + 3y, and 4 = 3y, and y =3/4.

Please type in the terminal point of vector m and then answer this question following the above example.

7 0

3 years ago

If 5 ibs apples cost $2.99, how much would 3 ibs cost?

AnnZ [28]

We know that 5 lbs of apples cost $2.99

To know how much do 3 lbs of apple cost, you can use cross multiplication

If 5 lbs cost $2.99

Then 3 lbs cost $x

The proportion between the price and the number of apples is the same, you have to calculate it as:

$\begin{gathered} \frac{2.99}{5}=\frac{x}{3} \\ (\frac{2.99}{5})\cdot3=x \\ x=1.794 \end{gathered}$

3 lbs of apples cost $1.79

5 0

1 year ago