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3 years ago

-2w = -18 solve for w

Mathematics

2 answers:

Dafna11 [192]3 years ago

4 0

Answer:

Step-by-step explanation:

Isolate w by dividing by -2.

bija089 [108]3 years ago

4 0

Answer:

w = 9

Step-by-step explanation:

First, you divide -18 by -2w.

Since you're dividing by a negative, you know that your answer will be positive.

Therefore, the answer is w = 9.

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docker41 [41]

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3 years ago

Construct a 99% confidthence interval for the population mean .Assume the population has a normal distribution. A group of 19 ra

Kobotan [32]

<h2>Answer with explanation:</h2>

Confidence interval for mean, when population standard deviation is unknown:

$\overline{x}\pm t_{\alpha/2}\dfrac{s}{\sqrt{n}}$

, where $\overline{x}$ = sample mean

n= sample size

s= sample standard deviation

$t_{\alpha/2}$ = Critical t-value for n-1 degrees of freedom

We assume the population has a normal distribution.

Given, n= 19 , s= 3.8 , $\overline{x}=22.4$

$\alpha=1-0.99=0.01$

A) Critical t value for $\alpha/2=0.005$ and degree of 18 freedom

$t_{\alpha/2}$ = 2.8784

B) Required confidence interval:

$22.4\pm ( 2.8744)\dfrac{3.8}{\sqrt{19}}\\\\=22.4\pm2.5058\\\\=(22.4-2.5058,\ 22.4+2.5058)=(19.8942,\ 24.9058)\approx(19.9,\ 24.9)$

Lower bound = 19.9 years

Uppen bound = 24.9 years

C) Interpretation: We are 99% confident that the true population mean of lies in (19.9, 24.9) .

5 0

3 years ago

2+2 djfjkfkdkfjfjfjcjcncncj

Slav-nsk [51]

Answer:4

Step-by-step explanation:

4 0

3 years ago

.Calculate the average rate of change of f(x) = 3x + 4 on the interval [2, 6]. Select any oth

makvit [3.9K]

Answer:

Average rate of change= 3

Step-by-step explanation:

Recall the definition of average rate of change of a function $f(x)$ in an interval $[a,b]$ :

Average rate of change = $\frac{f(b)-f(a)}{b-a}$

In your case:

$f(x) = 3x+4$ , and the interval $[a,b]$ i $[2,6]$ , therefore:

Average rate of change = $\frac{f(6)-f(2)}{6-2}=\frac{f(6)-f(2)}{4}$

Now we evaluate the function at the two requested points:

$f(x)=3x+4\\f(6)=3(6)+4=18+4=22\\f(2)=3(2)+4=6+4=10$ , then $f(6)-f(2)=22-10=12$

So finally the Average rate of change is: $\frac{f(6)-f(2)}{6-2}=\frac{12}{4} =3$

6 0

3 years ago