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oksian1 [2.3K]
3 years ago
6

20 points. Help. No links. Ty :)

Mathematics
1 answer:
Andrej [43]3 years ago
6 0

\huge\boxed{Answer\hookleftarrow}

334

\huge\boxed{Explanation\hookleftarrow}

10 × 4 × 7 = 280

3 × 3 × 6 = 54

280 + 54 = 334

\huge\boxed{Mark -Brainliest\hookleftarrow}

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Test scores are normally distributed with a mean of 500. Convert the given score to a z-score, using the given standard deviatio
Bond [772]

Answer:

The percentage of students who scored below 620 is 93.32%.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 500, \sigma = 80

Percentage of students who scored below 620:

This is the pvalue of Z when X = 620. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{620 - 500}{80}

Z = 1.5

Z = 1.5 has a pvalue of 0.9332

The percentage of students who scored below 620 is 93.32%.

3 0
3 years ago
Read 2 more answers
Flying with the wind, a small plane flew 404 mi in 2 h. Flying against the wind, the plane could fly only 386 mi in the same amo
Alika [10]

Answer: rate of the plane is 197.5 mph

rate of wind is 4.5 mph

Step-by-step explanation:

Let x represent the rate of the plane in calm air.

Let y represent the rate of the wind.

Flying with the wind, a small plane flew 404 mi in 2 h. This means that the total speed with which the plane flew is (x + y) mph.

Distance = speed × time

Distance travelled by the plane while flying with the wind is

404 = 2(x + y)

Dividing both sides of the equation by 2, it becomes

202 = x + y- - - - - - - - - - - 1

Flying against the wind, the plane could fly only 386 mi in the same amount of time. This means that the total speed at which the plane flew is (x - y) mph.

Distance = speed × time

Distance travelled by the plane while flying against the wind is

386 = 2(x - y)

Dividing both sides of the equation by 2, it becomes

193 = x - y- - - - - - - - - - - 2

Adding equation 1 to equation 2, it becomes

395 = 2x

x = 395/2

x = 197.5

Substituting x = 197.5 into equation 1, it becomes

202 = 197.5 + y

y = 202 - 197.5

y = 4.5

3 0
3 years ago
Please help me someone
AveGali [126]
Put the numbers of books you have read
6 0
3 years ago
10 & 11 WILL GIVE BRAINLIST
ra1l [238]

Answer:

10)$38.50

11)D

Step-by-step explanation:

10) n = no. of rides

f(n) + g(n) = 1 + 2.5n

when n=15, 1 + 2.5(15)

= $38.50

11)f(x) = 4x³+3x²-5x+20

g(x) = 9x³-4x²+10x-55

(g-f)(x)=9x³-4x²+10x-55-(4x³

+3x²-5x+20)

= 9x³-4x²+10x-55-4x³

-3x²+5x-20

= 5x³-7x²+15x-75

(Correct me if i am wrong)

3 0
3 years ago
Read 2 more answers
I need help please I would really appreciate it
Alchen [17]

Answer:

Your answer to the fig. would be 14cm^2.

Adding area of both rectangles,

(8+6) cm^2

= 14cm^2

Hope it helps!!

6 0
3 years ago
Read 2 more answers
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