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3 years ago

Trying to work out this problem. can't find out what x is. 0.5(−2.5x − 4.7) = 16.9

1 answer:

6 0

So here you first want to open up the parenthesis by using the distributive property. (Is that what it's called)

So basically multiply each and every number by 0.5.

So 0.5 * -2.5x - 0.5 * 4.7 = 16.9

Is what you get after doing that.

And then just multiply the numbers

So

-1.25 * x - 2.35 = 16.9

Add 2.35 to both sides

-1.25 * x = 19.25

And then divide both sides by -1.25 to get

x = - 15.4

So there's your answer.

(Sorry I took so long btw)

You might be interested in

Assume the population has a normal distribution. A sample of 25 randomly selected students Has a mean test score of 81.5 With a

Natasha_Volkova [10]

Answer:

The 90% confidence interval for the mean test score is between 77.29 and 85.71.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 25 - 1 = 24

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.9}{2} = 0.95$ . So we have T = 2.064

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 2.064\frac{10.2}{\sqrt{25}} = 4.21$

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 81.5 - 4.21 = 77.29

The upper end of the interval is the sample mean added to M. So it is 81.5 + 4.21 = 85.71.

The 90% confidence interval for the mean test score is between 77.29 and 85.71.

6 0

3 years ago

Algebra 2

jok3333 [9.3K]

Answer:510+510=1020

Step-by-step explanation:

7 0

3 years ago

A helicopter leaves bristol and flies due east for 10 miles.Then the helicopter flies 8miles north before landing. What is the d

DedPeter [7]

Answer:

The distance of the helicopter from the bristol is approximately 1<u>2.81 miles</u>

Step-by-step explanation:

Given:

Helicopter flies 10 miles east of bristol.

Then the helicopter flies 8 miles North before landing.

To find the direct distance between the helicopter and bristol.

Solution:

In order to find the distance of the helicopter from the bristol before landing, we will trace the path of the helicopter

The helicopter is first heading 10 miles east of bristol and then going 8 miles due north.

On tracing the path of the helicopter we find that the direct distance of the helicopter from the bristol is the hypotenuse of a right triangle formed by enclosing the path of the helicopter.

Applying Pythagorean theorem to find the hypotenuse of the triangle.

$Hypotenuse^2=Short\ leg^2+Shortest\ leg^2$

$Hypotenuse^2=10^2+8^2$

$Hypotenuse^2=100+64\\Hypotenuse^2=164$

Taking square root both sides.

$\sqrt{Hyptenuse^2}=\sqrt{164}\\Hypotenuse = 12.81\ miles$

Thus, the distance of the helicopter from the bristol is approximately 12.81 miles

6 0

3 years ago

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*.. <br> IM GIVING 40 POINTS !! DONT SKIP :((.

Luba_88 [7]

Answer:

Step-by-step explanation:

(5, -30) (6, -36)

(-36 + 30)/(6 - 5) = -6/1 = -6

y + 30 = -6(x - 5)

y + 30 = -6x + 30

y = -6x + 0

y = -6x

4 0

2 years ago

Need help ASAP!!!!!!!

marin [14]

Answer:

1. 3 2. 16

Step-by-step explanation:

3x+2/y, x = 3 and y = 6

3(3)/6

Factor the number

3*3*2/3*2

Cancel the common factor (3)

3*2/2

Cancel the common factor (2)

3/1

Simplify

(4a)^3/(b-2), a = 2, b = 4

(4(2)^3/(4-2)

Subtract the numbers:

2^3 * 4/2

Apply exponent rule (a^b*a^c=a^b+c)

= 2^3+1

Add the numbers:

2^4

Simplify:

=16

8 0

3 years ago