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topjm [15]
2 years ago
7

The sum of three consecutive numbers is 72 what is the smallest of the numbers

Mathematics
1 answer:
mylen [45]2 years ago
6 0

Answer:

23

Step-by-step explanation:

Suppose,

the first number = x

the second number = x+1

the third number = x+1+1 = x+2

Question wise,

x+x+1+x+2 = 72

3x+3 = 72

3x = 72-3 = 69

x = 69/3 = 23

so the numbers are,

23,(23+1)=24 and (23+2)=25

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The difference between the observed value of the dependent variable and the value predicted using the estimated regression equat
Elenna [48]

Answer:

For this case we define the dependent variable as Y and the independent variable X. We assume that we have n observations and that means the following pairs:

(x_1, y_1) ,....,(x_n,y_n)

For this case we assume that we want to find a linear regression model given by:

\hat y = \hat m x +\hat b

Where:

\hat m represent the estimated slope for the model

\hat b represent the estimated intercept for the model

And for any estimation of the dependent variable \hat y_i , i=1,...,n is given by this model.

The difference between the observed value of the dependnet variable and the value predicted using the estimated regression equation is known as residual, and the residual is given by this formula:

e_i = y_i -\hat y_i , i=1,...,n

So the best option for this case is:

d. residual

Step-by-step explanation:

For this case we define the dependent variable as Y and the independent variable X. We assume that we have n observations and that means the following pairs:

(x_1, y_1) ,....,(x_n,y_n)

For this case we assume that we want to find a linear regression model given by:

\hat y = \hat m x +\hat b

Where:

\hat m represent the estimated slope for the model

\hat b represent the estimated intercept for the model

And for any estimation of the dependent variable \hat y_i , i=1,...,n is given by this model.

The difference between the observed value of the dependnet variable and the value predicted using the estimated regression equation is known as residual, and the residual is given by this formula:

e_i = y_i -\hat y_i , i=1,...,n

So the best option for this case is:

d. residual

7 0
3 years ago
A 6 inch personal pizza has 640 calories, with 240 of those from fat. A 12 inch pizza is cutinto 8 slices. Estimate the number o
MissTica

Given:

Number calories in a 6-inch pizza = 640 calories

For the pizza of 6 inch

A=\pi(3)^2=9\pi

For the pizza of 12 inch

A=\pi(6)^2=36\pi

Number calories in a 6-inch pizza = 640 calories, therefore:

\frac{A_{6\text{ inch}}}{A_{12\text{ inch}}}=\frac{640}{x}

Substitute:

\begin{gathered} \frac{9\pi}{36\pi}=\frac{640}{x} \\ Simplify \\ \frac{1}{4}=\frac{640}{x} \end{gathered}

And solve for x:

\begin{gathered} 1\cdot x=4\cdot640 \\ x=2560 \end{gathered}

Now, Estimate the number of calories in one slice of a 12 inch pizza:

\frac{2560}{8}=320

Answer: 320 calories

4 0
1 year ago
If you multiply two integers together and then add 4, the result is 40. Which of the following could NOT be the sum of the two n
marta [7]

Answer:

18

Step-by-step explanation:

xy + 4 = 40

xy = 40 - 4

xy = 36

What two numbers can b multiplied to give 36? Then add them.

9 + 4 = 13

18 + 2 = 20

6 + 6 = 12

12 + 3 = 15

The odd option is 18

6 0
3 years ago
The dimensions of a triangular prism are shown below what is the volume of the prism in cubic feet
Yuliya22 [10]

Answer:

B. 192.5 ft³

Step-by-step explanation:

To find the volume of a triangle prism, multiply the base, height, and length together, and then divide it by 2 (or multiply that by 0.5).

(5 * 7 * 11)/2

Multiply 5 by 7 to get 35.

(35 * 11)/2

Multiply 35 by 11 to get 385.

385/2

192.5 ft³ is the volume of this triangluar prism.

8 0
3 years ago
What is the mass of a copper (II) chloride sample if it contains 0.0344 moles of the compound?
ale4655 [162]

According to the valence number of copper(2+) and the same value for chlorine (1-) copper (II) chloride has the formula of CuCl2

The molar mass of copper is 0,0635 kg/mole and chlorine gas a molar mass of 0,035 kg/mole the compound will have a molar mass of ( 0,0635+2×0,035 )kg/mole=0,099kg/mole and 0,344 moles are equivalent in mass to 0,344×0,135 kg=0,046 kg

5 0
2 years ago
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