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3 years ago

How would I solve the system 9x +y = 2, -4x -y =-17 when using elimination

Mathematics

1 answer:

larisa [96]3 years ago

7 0

Answer: y=29, x=-3

Step-by-step explanation:

eq. 1: 9x+y=2

9 • -3+y=2

-27+y=2

y=29

eq. 2: -4x-y=-17

4x+y=17

5x=-15

x=-3

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Andrews [41]

Volume of cone: pi * r^2 * h/3
Given volume, height

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942in^2 = r^2 * 9.42
Divide by 9.42
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Solution: radius is 10 in.

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2 years ago

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Use the confidence level and sample data to find a confidence interval for estimating the population μ. Round your answer to the

Levart [38]

Answer: Choice A.) 88.2 < μ < 93.0

=============================================================

Explanation:

We have this given info:

n = 92 = sample size
xbar = 90.6 = sample mean
sigma = 8.9 = population standard deviation
C = 99% = confidence level

Because n > 30 and because we know sigma, this allows us to use the Z distribution (aka standard normal distribution).

At 99% confidence, the z critical value is roughly z = 2.576; use a reference sheet, table, or calculator to determine this.

The lower bound of the confidence interval (L) is roughly

L = xbar - z*sigma/sqrt(n)

L = 90.6 - 2.576*8.9/sqrt(92)

L = 88.209757568781

L = 88.2

The upper bound (U) of this confidence interval is roughly

U = xbar + z*sigma/sqrt(n)

U = 90.6 + 2.576*8.9/sqrt(92)

U = 92.990242431219

U = 93.0

Therefore, the confidence interval in the format (L, U) is approximately (88.2, 93.0)

When converted to L < μ < U format, then we get approximately 88.2 < μ < 93.0 which shows that the final answer is choice A.

We're 99% confident that the population mean mu is somewhere between 88.2 and 93.0

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2 years ago

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2 years ago

When you are given three side lengths for a triangle, how do you know which length to substitute for a, b, or c in the Pythagore

Romashka [77]

Answer:

When Sum of square of two Sides is equal to square of third side of triangle.

Step-by-step explanation:

Given:

Three side length of triangle are given we need find the which value to substitute for a, b, c in Pythagoras theorem.

First we will find the squares of all length, then we will check which two square of side are equal to square of third side as per Pythagoras theorem.

Hence the two side would according be a and b and third side will become c.

For example if length of triangle is given as 6 cm, 8 cm and 10 cm.

We will first take square of all

$6^2=36\\8^2=64\\10^2=100$

Now we can see that

$36+64=100\\6^2+8^2=10^2$

Now by Pythagoras theorem.

$a^2+b^2=c^2$

Hence we can say a = 6 cm, b = 8 cm, c= 10 cm

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3 years ago

What’s the answer for 7+25•4

kotykmax [81]

Use Order of Operations!! Remember PEMDAS!
P: Parentheses first
E: Exponents (ie Powers and Square Roots, etc.)
MD: Multiplication and Division (left-to-right)
AS: Addition and Subtraction (left-to-right)

7+25•4 (multiply 25 by 4 first)
7+100 (then add 7 to 100)
107

So your final answer would be 107

Hope this helped and I hope you have an awesome day!! :D

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3 years ago

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How would I solve the system 9x +y = 2, -4x -y =-17 when using elimination ​

How would I solve the system 9x +y = 2, -4x -y =-17 when using elimination