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3 years ago

Which unit rate is equivalent to 15 miles per gallon?

Mathematics

1 answer:

Mnenie [13.5K]3 years ago

8 0

Thirty miles over three gallons

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X Plus y equals 9 x - 12 x equal 5

Elden [556K]

113..................

4 0

3 years ago

A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard devia

Butoxors [25]

Answer:

Probability that their mean is above 215 is 0.0287.

Step-by-step explanation:

We are given that a bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50.

For this, 40 different applicants are randomly selected.

<em>Let X = ratings for credit</em>

So, X ~ N( $\mu=200,\sigma^{2}=50^{2}$ )

Now, the z score probability distribution for sample mean is given by;

Z = $\frac{X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean = 200

$\sigma$ = standard deviation = 50

$\bar X$ = sample mean

n = sample of applicants = 40

So, probability that their mean is above 215 is given by = P( $\bar X$ > 215)

P( $\bar X$ > 215) = P( $\frac{X-\mu}{\frac{\sigma}{\sqrt{n} } }$ > $\frac{215-200}{\frac{50}{\sqrt{40} } }$ ) = P(Z > 1.897) = 1 - P(Z $\leq$ 1.897)

= 1 - 0.97108 = 0.0287

Therefore, probability that their mean is above 215 is 0.0287.

5 0

3 years ago

Please help! Does anyone know how to work this surface area question out???

Alik [6]

Surface area of a cylinder=(2xxradiusxheight)+(xradius^2x2)

Radius=Diameter/2
Radius=6/2
=3 m
Height=14 m
Surface area=(2xx3x14)+(x3^2x2)
Surface area=263.8937829+56.54866776
Surface area=320.4424507 m^2
=320.4 m^2

Tin of paint: 90 m^2/3.70 euros
Number of tins needed=320.4/90
=3.56 cans of paint
Price=3.56x3.70
Price=13.172 euros

Hope this helps!
P.S. the “^” sign means “to the power of”
ʕ•ᴥ•ʔ

6 0

3 years ago

Grass can grow up to 6 inches in a week depending on temperature, humidity, and time of year. At this rate, how tall will grass

bazaltina [42]

A week = 7 days
6 inches = 7 days
x = 24 days
cross multiply -> 6 x 24 divide by 7

5 0

3 years ago

Read 2 more answers

What are the coordinates of the image of vertex R after a reflection across the y-axis? (–4, 3) (4, –3) (–3, –4) (3, 4)

bogdanovich [222]

(–4, 3) (4, –3) (–3, –4) (3, 4)

this is a rather simple yet complex concept the easiest way to solve these is to do the exact opposite.

so in this instance it is refrcted across the y-axiss so we swap ONLY the x value NOT the Y ie (-4,3) would switch to (4,3)

same thing would apply if it reflected across x-axis ex (-4,-3)

If it reflect across orgin you change both signs. ex (4,-3)

ie.

(–4, 3) (4, –3) (–3, –4) (3, 4)

changes to

(4, 3) (-4, –3) (3, –4) (-3, 4)

hope it helps

6 0

4 years ago

Read 2 more answers