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pychu [463]
3 years ago
9

Subtract 4.32 x 10^6 from 7.57 x 10^6. Show your work. Write your answer in index notation.

Mathematics
1 answer:
Schach [20]3 years ago
8 0

Answer:

3.25 × 10^6

Step-by-step explanation:

7.57×10^6 - 4.32 × 10^6

(7.57 - 4.32) × 10^6

<u>3.25 × 10^6</u>

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Sarai was given the function, f(x) = x2 - 2x + 8.<br> For what x value(s) would f(x)=20?
Digiron [165]

Answer:

f(8)=20..The answer is 8 :)

7 0
3 years ago
The mean height of women in a country (ages 20-29) is 64 4 inches A random sample of 50 women in this age group is selected What
Simora [160]

Answer:

0.0721 = 7.21% probability that the mean height for the sample is greater than 65 inches.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 64.4 inches, standard deviation of 2.91

This means that \mu = 64.4, \sigma = 2.91

Sample of 50 women

This means that n = 50, s = \frac{2.91}{\sqrt{50}}

What is the probability that the mean height for the sample is greater than 65 inches?

This is 1 subtracted by the p-value of Z when X = 65. So

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

By the Central Limit Theorem

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

Z = \frac{65 - 64.4}{\frac{2.91}{\sqrt{50}}}

Z = 1.46

Z = 1.46 has a p-value of 0.9279

1 - 0.9279 = 0.0721

0.0721 = 7.21% probability that the mean height for the sample is greater than 65 inches.

8 0
3 years ago
If you graph 2y+8=6x^2-10x what will be the y intercept?
Rufina [12.5K]

Answer:

Y intercept will be -4.

Step-by-step explanation:

Here we are given our function as

2y+8=6x^2-10x

We are asked to determine the y intercept.

The y intercept is the y ordinate of the coordinates of the point at which the graph of the function intersects the y axis.

Please note that the point at which graph cuts the y axis have x=0

Hence in order to determine y intercept we need to put x=0 in our function and solve it for y :

2y+8=6x^2-10x2y+8=6x^2-10x

Putting x =0

2y+8=6x^2-10x2y+8=6(0)^2-10(0)

2y+8=6x^2-10x2y+8=0-10(0)

2y+8=6x^2-10x2y+8=0

subtracting both sides by 8

2y+8=6x^2-10x2y=-8

dividing both sides by 2

=-4

8 0
4 years ago
Ten tickets at $75 each cost<br> EXPLAINNN and answer please !
nataly862011 [7]

Answer:

75*10=750

Step-by-step explanation:

10 tickets, each 75 dollars, so u multiply 75 by 10 to get 750, just write 75 and rop the 0. $750

5 0
2 years ago
Read 2 more answers
Solve the following equation by factoring: x^2+ x– 42 = 0
Anastaziya [24]

Answer:

x=6,x=-7

Step-by-step explanation:

x^2+x-42=0

x^2-6x+7x-42=0

x(x-6)7(x-6)=0

(x-6)(x+7)=0

3 0
2 years ago
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