What is 7 times 5 to the third powder

Find the equation of the least squares regression line. Show all calculations, and be sure to define any variables used.

spayn [35]

Steps
Step 1: For each (x,y) point calculate x2 and xy.
Step 2: Sum all x, y, x2 and xy, which gives us Σx, Σy, Σx2 and Σxy (Σ means "sum up")
Step 3: Calculate Slope m:
m = N Σ(xy) − Σx Σy N Σ(x2) − (Σx)2
Step 4: Calculate Intercept b:
b = Σy − m Σx N.
Step 5: Assemble the equation of a line.

3 0

2 years ago

If you eat a diet with 2,000 kilocalories and 45 percent of those calories come from protein, about how many grams of protein di

jekas [21]

The amount of Protein intake is 900 kilocalorie.

We have - 2000 Kilocalories of diet and 45 Percent of calories come from Proteins.

Wе have to find out the amount of protein intake.

<h3>If ' x ' students out of total ' n ' students in a class are infected by virus. Then, what percentage of students are infected.</h3>

Percentage of students affected are - $\frac{x}{n} \times 100$

In the question given -

Let the amount of Protein intake be y.

Then -

45 = y % of 2000

45 = $\frac{y}{2000} \times100$

y = $\frac{45\times2000}{100}$

y = 900 Kilocalorie

Hence, the amount of Protein intake is 900 kilocalorie.

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7 0

1 year ago

Ella and Iris are planning trips to nine countries this year. There are 12 countries they would like to visit. They are deciding

NISA [10]

Using the combination formula, it is found that there are 220 ways to decide which countries to skip.

The order in which the countries are skipped is not important, hence the <em>combination formula </em>is used to solve this question.

<h3>What is the combination formula?</h3>

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by:

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this problem, 3 countries are skipped from a set of 12, hence the number of ways is given by:

$C_{12,3} = \frac{12!}{3!9!} = 220$

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5 0

2 years ago

Use the distributive property to remove the parentheses.<br> -4(-6y + 2w-4)

olga_2 [115]

Answer: 24y - 8w + 16

Step-by-step explanation:

Basically to remove the parenthesis you just distribute the -4 outside of the parenthesi and you get 24y - 8w + 16.

4 0

2 years ago

The average daily temperature, t, in degrees fahrenheit for a city as a function of the month of the year, m, can be modeled by

Vikentia [17]

The answer will be t = $sin((m.\frac{\pi}{6})+55)$ average daily temperature, t, in degrees Fahrenheit for a city as a function of the month of the year.

<h3>What is temperature?</h3>

Temperature is the degree or intensity of heat present in a substance or object, especially as expressed according to a comparative scale and shown by a thermometer or perceived by touch.

<h3>TO SOLVE:</h3>

$35cos(\frac{\pi}{6(m+3)}+55)\\\\35 cos(\frac{\pi m}{6} + 55 + \frac{\pi}{2})\\$

suppose $x = m.\frac{\pi}{6}+55$ and $\frac{\pi}{2} = 90$ degree

We know, cos(x+90°) = - sin(X)

⇒ $cos((m.\frac{\pi}{6})+55+90degree)$ degree = - $sin((m.\frac{\pi}{6})+55)$

⇒ t = $sin((m.\frac{\pi}{6})+55)$

Hence the answer will be t = $sin((m.\frac{\pi}{6})+55)$ average daily temperature, t, in degrees Fahrenheit for a city as a function of the month of the year.

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3 0

1 year ago