Simplify 3 (5x -4) = 8x -2

Which of the following expressions is equal to -12 ?

Ierofanga [76]

Answer:

c. 5 - 17

Step-by-step explanation:

a. -15 - 3 = -18

b. -3 - (-9) = 6

c. 5 - 17 = -12

d. -6 - (-6) = 0

6 0

3 years ago

Read 2 more answers

Find the equation of this line<br><br> y = [?]x + [ ] <br> Please help

larisa [96]

<h2>Writing an Equation of a Line in Slope-Intercept Form</h2><h3>Answer:</h3>

$y = [ -2 ] x + [ 1 ]\\$

<h3>Step-by-step explanation:</h3>

<em>Please refer to my answer from this Question to know more about Slope-Intercept Form: <u>brainly.com/question/24599351</u></em>

We must first find the slope.

<em>Please refer to my Answer from this Questions to know more about Slopes of a Line:</em>

<em><u>brainly.com/question/24640665</u></em>
<em><u>brainly.com/question/24638053</u></em>

We can see the marked points, $(0,1)$ and $(4, -7)$ , are on the line.

Solving for the slope:

$m = \frac{y_2 -y_1}{x_2 -x_1} \\ m = \frac{-7 -1}{4 -0} \\ m = \frac{-8}{4} \\ m = -2$

Now we can now solve for the $y$ -intercept.

<em>Please refer to the second paragraph of my Answer from this Question to know more about y-intercepts: <u>brainly.com/question/24606058</u></em>

We can see that the line intersected the $y$ -axis at $(0,1)$ so $b = 1$ .

5 0

3 years ago

A survey of 76 commercial airline flights of under 2 hours resulted in a sample average late time for a flight of 2.55 minutes.

nika2105 [10]

Answer:

The best point of estimate for the true mean is:

$\hat \mu = \bar X = 2.55$

$2.55-1.96\frac{12}{\sqrt{76}}=-0.148$

$2.55+1.96\frac{12}{\sqrt{76}}=5.248$

Since the time can't be negative a good approximation for the confidence interval would be (0,5.248) minutes. The interval are tellling to us that at 95% of confidence the average late time is lower than 5.248 minutes.

Step-by-step explanation:

Information given

$\bar X=2.55$ represent the sample mean for the late time for a flight

$\mu$ population mean

$\sigma=12$ represent the population deviation

n=76 represent the sample size

Confidence interval

The best point of estimate for the true mean is:

$\hat \mu = \bar X = 2.55$

The confidence interval for the true mean is given by:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

The Confidence level given is 0.95 or 95%, th significance would be $\alpha=0.05$ and $\alpha/2 =0.025$ . If we look in the normal distribution a quantile that accumulates 0.025 of the area on each tail we got $z_{\alpha/2}=1.96$

Replacing we got:

$2.55-1.96\frac{12}{\sqrt{76}}=-0.148$

$2.55+1.96\frac{12}{\sqrt{76}}=5.248$

Since the time can't be negative a good approximation for the confidence interval would be (0,5.248) minutes. The interval are tellling to us that at 95% of confidence the average late time is lower than 5.248 minutes.

7 0

3 years ago

Solve the equation: only write the number is the box <br> 2( 5x+2)=54

Black_prince [1.1K]

Answer:

x = 5

Step-by-step explanation:

Step 1:

2 (5x + 2) = 54

Step 2:

10x + 4 = 54

Step 3: