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prohojiy [21]
2 years ago
13

1 (2x + 3) (3x-5) 2. (3x + 5y)3 3. (3x + 5y - 2z)?​

Mathematics
1 answer:
Iteru [2.4K]2 years ago
6 0

Answer:

1)

2x(3x-5)+3(3x-5)

6x²-10x+6x-15

6x²-4x-15

You might be interested in
Rewrite the formula to find the width of the base of the prism if the volume, length of the base, and height of the prism are al
notsponge [240]

Answer:

w = V/lh

Step-by-step explanation:

The volume of a rectangular prism is calculated using the formula V = lwh, where V is the volume of the prism, l and w are the length and width of the base of the prism, respectively, and h is the height of the prism.

Rewrite the formula to find the width of the base of the prism if the volume, length of the base, and height of the prism are already known.

volume of a rectangular prism,V = lwh

Where,

l = length of the base of the prism

w = width of the base of the prism

h = height of the prism

Rewrite the formula to find w

V = lwh

w = V/lh

That is,

width of the base of the prism = volume of the prism divided by length of the base of the prism multiplied by height of the prism

5 0
2 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
2 years ago
If a=5+2i, b=-3+i and c=4i(2+3I), determine ab+c in simplest a+bi form
Nady [450]

Answer:

-29+7i

Step-by-step explanation:

(5+2i)(-3+i)

-15+5i-6i+2i²

i²=-1

Simplify

-17-i

Add c

c=4i(2+3i)

=8i+12i²

=8i-12

-17-i+8i-12

-29+7i

5 0
2 years ago
32% of 300 is what number? A.96 B.64 C.32 D.90
svlad2 [7]

32% = 0.32

300 * 0.32 =96

 Answer is A

5 0
2 years ago
A scatter plot containing the point (12, 12) has the regression equation yˆ=14x+1 .
Gwar [14]
Y(hat) = 14x + 1
y(hat) = 14(12) + 1
y(hat) = 168 + 1
y(hat) = 169
Residual = y - y(hat)
12 - 169
Res = - 157
4 0
3 years ago
Read 2 more answers
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