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Umnica [9.8K]
3 years ago
5

five years ago, Alicia was twice as old as her brother Alex. if Alicia is 13 years old, how old is Alex ? ​

Mathematics
1 answer:
Elodia [21]3 years ago
5 0

Answer:

8

Step-by-step explanation:

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Which of the following is NOT a random sample of the population of people who subscribe to a particular magazine?
Verdich [7]

Answer:

D)

Step-by-step explanation:

Every tenth person will get it no matter what, every time. The order will not change.

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Who does cos 60 degrees compare to cos -60 degrees
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Hello :
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3 years ago
A tank and a pail contained a total of 962 ml of water. When 250 ml of water was poured from the pail to the tank, the amount of
Allisa [31]

By solving a system of equations, we will see that the pail originally contained 382.9 ml.

<h3>How to write the system of equations?</h3>

First, we need to define the variables, we will use:

  • T = amount of water in the tank.
  • P = amount of water in the pail.

First, we know that the total amount of water is 962 ml, then we have:

P + T = 962 ml.

We also know that if we pour 250 ml from the pail to the tank, the amount of water in the tank will be 12 times the amount of water in the pail, this is written as:

T + 250ml = 12*(P - 250ml)

Then the system of equations is:

P + T = 962 ml

T + 250ml = 12*(P - 250ml)

To solve this, first, we need to isolate one of the variables in one of the equations, I will isolate T in the first one:

T = 962 ml - P

Now we replace this into the other equation to get:

(962 ml - P) + 250ml = 12*(P - 250ml)

Now we can solve this for P.

962 ml + 250 ml - P = 12*P - 12*250 ml

1,212 ml - P = 12*P - 3,000 ml

1,212  ml + 3,000 ml = 12*P - P

(4,212 ml)/11 = P = 382.9 ml

So the pail originally contained 382.9 ml

If you want to learn more about systems of equations, you can read:

brainly.com/question/13729904

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2 years ago
What is the vertex of the parabola given by y= -(x-2)^2-1?
melisa1 [442]
The vertex is (2,-1). Thats your answer.
6 0
3 years ago
. The estimate regression equation for a model involving two independent variables and 10 observations follows.y = 29.1270 + 0.5
beks73 [17]

Answer:

b) y = 289.815 when x_1 = 180 \text{ and } x_2 = 310

Step-by-step explanation:

We are given the following information in the question:

y = 29.1270 + 0.5906x_1 + 0.4980x_2

where y is the dependent variable,

x_1, x_2 are the independent variable.

The multiple regression equation is of the form:

y = b_0 + b_1x_1 + b_2x_2

where,

b_0: is the intercept of the equation and is the value of dependent variable when all the independent variable are zero.

b_1: It is the slope coefficient of the independent variable x_1.

b_2: It is the slope coefficient of the independent variable x_2.

  • The regression coefficient in multiple regression is the slope of the linear relationship between the dependent and the part of a predictor variable that is independent of all other predictor variables.

Comparing the equations, we get:

b_1 = 0.5906\\b_2 = 0.4980

  • This means holding x_2 constant, a change of one in x_1 is associated with a change of 0.5906 in the dependent variable.
  • This means holding x_1 constant, a change of 1 in x_2 is associated with a change of 0.4980 in the dependent variable.

b) We have to estimate the value of y

y = 29.1270 + 0.5906(180) + 0.4980(310) = 289.815

3 0
3 years ago
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