A is 30% of b. b is 90% of c. what % of c is a

Answers

Answer 1

Answer: A = 30% of B = 0.3B
B = 90% of C = 0.9C

A = 0.3(0.9C) = 0.27C = 27% of C

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Is 48,200 written in scientific notation? If not, write it in scientific notation.

Answers

Answer:

No. 4.82×10^4

Step-by-step explanation:

It has to be x10 to be in scientific notation so you move the decimal point 4 times and get the answer

Answer:

No, 48,200 is written in Standard Notation.

If you want to evaluate 48,200 to scientific notation, the answer is 4.82 x 10^4.

Hope this helps and have a nice day!

Step-by-step explanation:

Choose the statement below that describes the relationship between a circles diameter and circumference. A. Circumference times diameter is always π. B. Diameter divided by circumference is always π. C. Circumference divided by diameter is always π. D. There is no relationship between circumference and diameter.

Answers

Answer:

Step-by-step explanation:

Please help me out!!!

Answers

Answer:

Shifts 4 units down ---> $g(x)=2x-10$

Stretches f(x) by a factor of 4 away from x-axis---> $g(x)=8x-6$

Shifts f(x) 4 units right---> $g(x)=2x-14$

Compress f(x) by a factor of 1/4 toward the y-axis ---> $g(x)=1/2x-3/2$

Step-by-step explanation:

We are given $f(x)=2x-6$

We need to match the transformations.

1) shifts f(x) 4 units down.

When function f(x) shifts k units down the new function becomes f(x)-k

In our case

$g(x)=2x-6-4\ng(x)=2x-10$

So, Shifts 4 units down ---> $g(x)=2x-10$

2) Stretches f(x) by a factor of 4 away from x-axis

When function f(x) is stretched by a factor of b away from x-axis the new function becomes f(bx)

$g(x)=2(4x)-6\ng(x)=8x-6$

So, Stretches f(x) by a factor of 4 away from x-axis---> $g(x)=8x-6$

3) Shifts f(x) 4 units right

When function f(x) shifts h units right the new function becomes f(x-h)

$g(x)=2(x-4)-6\ng(x)=2x-8-6\ng(x)=2x-14$

So, Shifts f(x) 4 units right---> $g(x)=2x-14$

4) Compress f(x) by a factor of 1/4 toward the y-axis

When function f(x) is compressed by h factor of a toward the y-axis the new function becomes h.f(x)

$g(x)=1/4(2x-6)\ng(x)=1/2x-3/2$

Compress f(x) by a factor of 1/4 toward the y-axis ---> $g(x)=1/2x-3/2$

(Option Not given)

(If we compress f(x) by a factor of 4 towards y-axis we get g(x)=8x-24)

The length of a rectangle is represented by (6x − 2), and the width is represented by (x − 1). Which expression best represents the area of the rectangle? A) 6x2 + 8x + 2 B) − 8x + 2 C) 6x2 − 8x + 2 D) 6x2 − 8x − 2

Answers

Answer: Area = $6x^(2)-8x+2$

Step-by-step explanation:

The formula for calculating the area of a rectangle is given by :

Area = Length x width

length = $(6x-2)$

Width = $(x-1)$

Therefore :

Area = $(6x-2)(x-1)$

Expanding the equation , we have

Area = $6x(x-1) -2(x-1)$

Area = $6x^(2)-6x$ $-2x + 2$

Area = $6x^(2)-8x+2$

In determining automobile-mileage ratings, it was found that the mpg (X) for a certain model is normally distributed, with a mean of 33 mpg and a standard deviation of 1.7 mpg. Find the following:__________. a. P(X<30)
b. P(28c. P(X>35)
d. P(X>31)
e. the mileage rating that the upper 5% of cars achieve.

Answers

The upper 5% of cars have a mileage rating of 35.805 mpg

What is z score?

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (raw score - mean) / standard deviation

Given; mean of 33 mpg and a standard deviation of 1.7

a) For < 30:

z = (30 - 33)/1.7 = -1.76

P(x < 30) = P(z < -1.76) = 1 - 0.8413 = 0.0392

b) For < 28:

z = (28 - 33)/1.7 = -2.94

P(x < 28) = P(z < -2.94) = 0.0016

c) For > 35:

z = (35 - 33)/1.7 = 1.18

P(x > 35) = P(z > 1.18) = 1 - P(z < 1.18) = 1 - 0.8810 = 0.119

d) For > 31:

z = (31 - 33)/1.7 = -1.18

P(x > 31) = P(z > -1.18) = 1 - P(z < -1.18) = 0.8810

e) The upper 5% of cars achieve have a z score of 1.65, hence:

1.65 = (x - 33)/1.7

x = 35.805 mpg

The upper 5% of cars have a mileage rating of 35.805 mpg

Find out more on z score at: brainly.com/question/25638875

Answer:

a) P(X < 30) = 0.0392.

b) P(28 < X < 32) = 0.2760

c) P(X > 35) = 0.1190

d) P(X > 31) = 0.8810

e) At least 35.7965 mpg

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:

$Z = (X - \mu)/(\sigma)$

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:

$\mu = 33, \sigma = 1.7$