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3 years ago

Find the solution of the system of equations. 3x-8y = 193x + 5y = -46

Mathematics

1 answer:

sattari [20]3 years ago

4 0

(-7,-5)

Step-by-step explanation:

3x-8y = 19

minus

3x + 5y = -46

0x - 13y = 65

- 13y = 65

÷-13

y = - 5

Substitute y = - 5 into one of the functions:

3x-8y = 19

-8 x - 5 = 40

3x + 40 =19

-40

3x. = - 21

÷3

x= - 7

Solution is (-7,-5)

Hope this helps!

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Pyramid A is a square pyramid with a base side length of 18 inches and a height of 9 inches. Pyramid B has a volume of 3,136 cub

Basile [38]

The volume of pyramid B (3,136 in.³) is 323% bigger than the volume of pyramid B (972 in.³).

<h3>What is the Volume of a Square Pyramid?</h3>

Volume of square pyramid = 1/3(a²)h

Given the following:

Volume of pyramid B = 3,136 in.³
Base side length of pyramid A (a) = 18 in.
Height of pyramid A (h) = 9 in.

Volume of square pyramid A = 1/3(a²)h = 1/3(18²)9 = 972 in.³

3,136/972 × 100 = 323%

Pyramid B volume is 323% bigger than the volume of pyramid A.

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2 years ago

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galina1969 [7]

Answer: Sales tax is an amount added to a price to get the total.

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3 years ago

PLEASE HELP ASAP!!!!!!

Natali5045456 [20]

Answer:

13.60 See the note below.

Step-by-step explanation:

Remark

This is just the reverse of the question you just did. This time you are trying to solve for c

Givens

a = 8
b = 11
c = ??

Solution

c^2 = a^2 + b^2 Substitute the givens.

c^2 = 8^2 + 11^2 Expand

c^2 = 64 + 121 Combine the right side by adding

c^2 = 185 Take the square root of both sides.

sqrt(c^2) = sqrt(185) Complete the operation

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3 years ago

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4 0

3 years ago

g 78% of all Millennials drink Starbucks coffee at least once a week. Suppose a random sample of 50 Millennials will be selected

Tatiana [17]

Answer:

We know that n = 50 and p =0.78.

We need to check the conditions in order to use the normal approximation.

$np=50*0.78=39 \geq 10$

$n(1-p)=50*(1-0.78)=11 \geq 10$

Since both conditions are satisfied we can use the normal approximation and the distribution for the proportion is given by:

$p \sim N (p, \sqrt{\frac{p(1-p)}{n}})$

With the following parameters:

$\mu_ p = 0.78$

$\sigma_p = \sqrt{\frac{0.78*(1-0.78)}{50}}= 0.0586$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

We know that n = 50 and p =0.78.

We need to check the conditions in order to use the normal approximation.

$np=50*0.78=39 \geq 10$

$n(1-p)=50*(1-0.78)=11 \geq 10$

Since both conditions are satisfied we can use the normal approximation and the distribution for the proportion is given by:

$p \sim N (p, \sqrt{\frac{p(1-p)}{n}})$

With the following parameters:

$\mu_ p = 0.78$

$\sigma_p = \sqrt{\frac{0.78*(1-0.78)}{50}}= 0.0586$

6 0

3 years ago

Find the solution of the system of equations. 3x-8y = 193x + 5y = -46​

Find the solution of the system of equations. 3x-8y = 193x + 5y = -46