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3 years ago

A ^2 - a - 20 factor

Mathematics

1 answer:

stiv31 [10]3 years ago

6 0

a2−a−20=a2−5a+4a−20

Now simplify this.

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What is the smallest solution to the equation 2x^2+17=179

Jobisdone [24]

The goal is to put the equation in the simplest form to solve:
2x²+17=179

Subtract both sides by 17.
179-17= 162
2x²=162

Square root 162.
√162 = 12.7 (rounded)
2x=12.7

Divide both sides by 2.
12.7/2= 6.4 (rounded)
x=6.4

The variable x is 6.4, rounded to the nearest tenth for simple purposes.

Hope this was helpful.

3 0

4 years ago

Using the simple random sample of weights of women from a data set, we obtain these sample statistics: nequals45 and x overbar

Tomtit [17]

Answer: (141.1, 156.48)

Step-by-step explanation:

Given sample statistics : $n=45$

$\overline{x}=148.79\text{ lb}$

$\sigma=31.37\text{ lb}$

a) We know that the best point estimate of the population mean is the sample mean.

Therefore, the best point estimate of the mean weight of all women = $\mu=148.79\text{ lb}$

b) The confidence interval for the population mean is given by :-

$\mu\ \pm E$ , where E is the margin of error.

Formula for Margin of error :-

$z_{\alpha/2}\times\dfrac{\sigma}{\sqrt{n}}$

Given : Significance level : $\alpha=1-0.90=0.1$

Critical value : $z_{\alpha/2}=z_{0.05}=\pm1.645$

Margin of error : $E=1.645\times\dfrac{31.37}{\sqrt{45}}\approx 7.69$

Now, the 90% confidence interval for the population mean will be :-

$148.79\ \pm\ 7.69 =(148.79-7.69\ ,\ 148.79+7.69)=(141.1,\ 156.48)$

Hence, the 90% confidence interval estimate of the mean weight of all women= (141.1, 156.48)

3 0

3 years ago

What is the slope of the line that passes through (2, 2) and (10, 6) ?

MaRussiya [10]

6-2 4
10-2 8

Answer is 1/2

5 0

4 years ago

Read 2 more answers

PLEASE ASAP!!

Yuki888 [10]

Y = mx + b

m = slope = rise/run = 1/1 = 1

b = y -intecept = where the line and line-y meet (0,2) = 2

y = 1x + 2 <-answer

y = x + 2

7 0

3 years ago

I need help plz quickly:( I'm struggling

alina1380 [7]

Answer:

yes the statement is true

Step-by-step explanation:

no matter if you swap ab or ba they are still the same distance apart. ( i hope this helps i havent really done this yet but it seems fair have an amazing day)

5 0

3 years ago