Ask question

Ask question

All categories

3 years ago

15

Solve the equation. 9+2 14x – 31 = 19 Please answer it step by step

1 answer:

siniylev [52]3 years ago

4 0

Answer:

$x = \frac{41}{28} = 1 \frac{13}{28}$

Step-by-step explanation:

$9 + 2(14x - 3) = 19$

$9 + 28x - 31 = 19$

$- 22 + 28x = 19$

$28x = 19 + 22$

$28x = 41$

$\boxed{\green{x = \frac{41}{28} = 1 \frac{13}{28}}}$

You might be interested in

Enter a fraction that is equivalent to 4/7 with a denominator of 21

zysi [14]

Answer:

An equivalent fraction is 12/21

7 0

4 years ago

A sample of 900 college freshmen were randomly selected for a national survey. Among the survey participants, 372 students were

Rufina [12.5K]

Answer:

a) $ME=2.58 \sqrt{\frac{0.413(1-0.413)}{900}}=0.0423$

b) $0.413 - 2.58 \sqrt{\frac{0.413(1-0.413)}{900}}=0.371$

Step-by-step explanation:

1) Data given and notation

n=900 represent the random sample taken

X=372 represent the students were pursuing liberal arts degrees

$\hat p=\frac{372}{900}=0.413$ estimated proportion of students were pursuing liberal arts degrees

$\alpha=0.01$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

p= population proportion of students were pursuing liberal arts degrees

2) Solution to the problem

The confidence interval would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 99% confidence interval the value of $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=2.58$

The margin of error is given by:

$ME=z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

If we replace we have:

$ME=2.58 \sqrt{\frac{0.413(1-0.413)}{900}}=0.0423$

And replacing into the confidence interval formula we got:

$0.413 - 2.58 \sqrt{\frac{0.413(1-0.413)}{900}}=0.371$

$0.413 + 2.58 \sqrt{\frac{0.413(1-0.413)}{900}}=0.455$

And the 99% confidence interval would be given (0.371;0.455).

We are confident (99%) that about 37.1% to 45.5% of students were pursuing liberal arts degrees.

7 0

3 years ago

What is the slope of the line

serious [3.7K]

<em>he slope or gradient of a line is a number that describes both the direction and the steepness of the line. ... Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line.</em>

<em />

6 0

3 years ago

Pls help Eithan needs to divide theese base ten blocks (9 ten blocks and 6 one blocks)

sineoko [7]

Answer:

carrot

Step-by-step explanation:

give me brainlyist i never got it pls bt i have snap if you want im a girl

7 0

3 years ago

What are the focus and directrix of the parabola that is the graph of the function f(x)=x²?

Hitman42 [59]

Answer:

Step-by-step explanation:

Given

$y=x^2$

comparing it with standard equation $x^2=4ay$

so 4a=1

$a=\frac{1}{4}$

so Focus of parabola is (0,0)

directrix

y=-a

here $a=\frac{1}{4}$

$y=-\frac{1}{4}$

5 0

4 years ago