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3 years ago

The table shows the elevation of 6 cities in California

Mathematics

1 answer:

Marta_Voda [28]3 years ago

5 0

$Brent\ wood:24m\\Bombay\ bay\ beach:-69m\\\\difference:24m-(-69m)=24m+69m=\boxed{93m}$

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What is an equation of the line that passes through the points (-6, -2) and

den301095 [7]

Answer:

The equation of line is: $\mathbf{4x-3y=-18}$

Step-by-step explanation:

We need to find an equation of the line that passes through the points (-6, -2) and (-3, 2)?

The equation of line in slope-intercept form is: $y=mx+b$

where m is slope and b is y-intercept.

We need to find slope and y-intercept.

Finding Slope

Slope can be found using formula: $Slope=\frac{y_2-y_1}{x_2-x_1}$

We have $x_1=-6,y_1=-2, x_2=-3, y_2=2$

Putting values and finding slope

$Slope=\frac{2-(-2)}{-3-(-6)}\\Slope=\frac{2+2}{-3+6} \\Slope=\frac{4}{3}$

So, we get slope: $m=\frac{4}{3}$

Finding y-intercept

Using point (-6,-2) and slope $m=\frac{4}{3}$ we can find y-intercept

$y=mx+b\\-2=\frac{4}{3}(-6)+b\\-2=4(-2)+b\\-2=-8+b\\b=-2+8\\b=6$

So, we get y-intercept b= 6

Equation of required line

The equation of required line having slope $m=\frac{4}{3}$ and y-intercept b = 6 is

$y=mx+b\\y=\frac{4}{3}x+6$

Now transforming in fully reduced form:

$y=\frac{4x+6*3}{3} \\y=\frac{4x+18}{3} \\3y=4x+18\\4x-3y=-18$

So, the equation of line is: $\mathbf{4x-3y=-18}$

6 0

2 years ago

What does it mean when it says a shape has reflection symmetry?

brilliants [131]

It means that if you fold it in half the two halves will be the exact same

6 0

3 years ago

2.A production process manufactures items with weights that are normally distributed with mean 10 pounds and standard deviation

Vesna [10]

Answer:

Step-by-step explanation:

Given that:

population mean = 10

standard deviation = 0.1

sample mean = 9.8 < x > 10.2

The z score can be computed as:

$z = \dfrac{\bar x - \mu}{\sigma}$

if x > 10.2

$z = \dfrac{10.2- 10}{0.1}$

$z = \dfrac{0.2}{0.1}$

z = 2

If x < 9.8

$z = \dfrac{9.8- 10}{0.1}$

$z = \dfrac{-0.2}{0.1}$

z = -2

The p-value = P (z ≤ 2) + P (z ≥ 2)

The p-value = P (z ≤ 2) + ( 1 - P (z ≥ 2)

p-value = 0.022750 +(1 - 0.97725)

p-value = 0.022750 + 0.022750

p-value = 0.0455

Therefore; the probability of defectives = 4.55%

the probability of acceptable = 1 - the probability of defectives

the probability of acceptable = 1 - 0.0455

the probability of acceptable = 0.9545

the probability of acceptable = 95.45%

4.55% are defective or 95.45% is acceptable.

sampling distribution of proportions:

sample size n=1000

p = 0.0455

The z - score for this distribution at most 5% of the items is;

$z = \dfrac{0.05 - 0.0455}{\sqrt{\dfrac{0.0455\times 0.9545}{1000}}}$

$z = \dfrac{0.0045}{\sqrt{\dfrac{0.04342975}{1000}}}$

$z = \dfrac{0.0045}{\sqrt{4.342975 \times 10^{-5}}}$

z = 0.6828

The p-value = P(z ≤ 0.6828)

From the z tables

p-value = 0.7526

Thus, the probability that at most 5% of the items in a given batch will be defective = 0.7526

The z - score for this distribution for at least 85% of the items is;

$z = \dfrac{0.85 - 0.9545}{\sqrt{\dfrac{0.0455\times 0.9545}{1000}}}$

$z = \dfrac{-0.1045}{\sqrt{\dfrac{0.04342975}{1000}}}$

z = −15.86

p-value = P(z ≥ -15.86)

p-value = 1 - P(z < -15.86)

p-value = 1 - 0

p-value = 1

Thus, the probability that at least 85% of these items in a given batch will be acceptable = 1

6 0

3 years ago

A cylinder has a base diameter of 6 feet and a height of 2 feet . what is its volume in cubic feet, to the nearest tenths place?

expeople1 [14]

H=2ft
d=6 ft
r=d/2
r=6/2=3ft
V= π•r^2•h
V=3.14•3^2•2
V=3.14•9•2
V=56.52 ft3
V~56.5ft3

5 0

3 years ago

A,B,C,or D? please help

barxatty [35]

Answer:

Step-by-step explanation:

Hope this helps

stay safe:)

brainliest is appreciated :)))

6 0

3 years ago