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3 years ago

3(x+2)=15 I just need help with this problem please.

Mathematics

1 answer:

makvit [3.9K]3 years ago

7 0

Answer:

x=3

Step-by-step explanation:

Divide both sides by 3

3(x+2)/3 = 15/3

You get x+2=5, subtract 2 from each side

x+2(-2)=5(-2)

x=3

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Create a linear regression equation that can be used to model the amount of money in the account (the balance), y, based on the

Karolina [17]

The regression equation is $\^y = 1.56\^x + 1.29$ , and it will take 31 weeks to have $50.00

<u>(a) The linear regression equation</u>

To do this, we make use of a graphing calculator;

From the graphing calculator, we have the following calculation summary:

The sum of X = 45
The sum of Y = 83
Mean X = 4.5
Mean Y = 8.3
Sum of squares (SSX) = 82.5
Sum of products (SP) = 128.5

The regression equation is then represented as:

$\^y = b\^x + a$

Where:

$b = \frac{SP}{SSX}$ and $a = M_Y - bM_X$

So, we have:

$b = \frac{128.5}{82.5}$

$b = 1.55758$

Approximate

$b = 1.56$

$a= 8.3 - (1.56 \times 4.5)$

$a= 1.29091$

Approximate

$a= 1.29$

This means that, the regression equation is $\^y = 1.56\^x + 1.29$

<u>(b) Predict the time to have $50.00</u>

This means that:

$\^y = 50$

So, we have:

$50 = 1.56\^x + 1.29$

Subtract 1.29 from both sides

$48.71 = 1.56\^x$

Divide both sides by 1.56

$31.22 = \^x$

Rewrite as:

$\^x = 31.22$

Approximate

$\^x = 31$

Hence, it will take 31 weeks to have $50.00

Read more about linear regression models at:

brainly.com/question/14585820

8 0

2 years ago

while driving from his home to his workplace, Chris has to pass through two traffic lights. The general pobability of getting a

Vlad [161]

P(A) = 0.36
P(B) = 0.25
P(A and B) = 0.09

Notice how P(A and B) = P(A)*P(B) = 0.36*0.25 = 0.09
So because P(A and B) = P(A) *P(B) in this case, this means A and B are independent events. In other words, the fact that A occurs does not alter the probability of event B.

Answer: independent

6 0

4 years ago

What is 27/8 in simplest form

iren [92.7K]

3 3/8. To figure this out, figure out how many times 8 goes into 27.

8 goes into 27 three times.

Now, multiply 8 and three together to figure out how many eights there are in 3.

3 = 24/8

There are still 3/8 remaining.

Your answer would be
3 3/8.

Message me if you need any help! Hope this helped

3 0

3 years ago

Read 2 more answers

In a study conducted in the United Kingdom about sleeping positions, 1000 adults in the UK were asked their starting position wh

Lady_Fox [76]

Answer: = ( 0.411, 0.409)

Therefore at 95% confidence interval (a,b) = (0.411, 0.409)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean gain x = 0.41

Standard deviation r = 0.016

Number of samples n = 1000

Confidence interval = 95%

z(at 95% confidence) = 1.96

Substituting the values we have;

0.41+/-1.96(0.016/√1000)

0.41+/-1.96(0.000506)

0.41+/-0.00099

0.41+/-0.001

= ( 0.411, 0.409)

Therefore at 95% confidence interval (a,b) = (0.411, 0.409)

4 0

4 years ago

2x^2 / x^2 - y^2 - x^2 / xy - y ^ 2

Juliette [100K]

Answer:

2 - 2y^2 - x/y

Step-by-step explanation:

2x^2/x^2 = 2

and

x^2/xy = x/y

therefore

2x^2/x^2 - y^2 - x^2/xy - y^2

= 2 - y^2 - x/y - y^2

= 2 - y^2 - y^2 - x/y

= 2 - 2y^2 - x/y

6 0

3 years ago