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Usimov [2.4K]
3 years ago
11

X=4y-7 2x+9y=-31 What be the answer

Mathematics
2 answers:
dybincka [34]3 years ago
7 0

Answer:

x=-11

y=-1

Step-by-step explanation:

x=4y-7

2x+9y=-31

2(4y-7)+9y=-31

8y-14+9y=-31

17=-31+14

17y=-17

y=-1

x=4(-1)-7

x=-11

Ksivusya [100]3 years ago
6 0

Answer:

x = -11, y = -1

Step-by-step explanation:

solving simultaneously,

2(4y-7) + 9y = -31

17y = 14 - 31

17y = -17

y = -1

back sub, we get:

x = 4(-1)-7

x = -11

so x = -11, y = -1

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If a bar chart showed that 4 students received an a on the test, 3 students received a b, and 1 student received a c, the talles
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The tallest bar on the chart would be for the a column of 4 students received an A  on the test

Step-by-step explanation:

The tallest bar on the chart would be for the a column of 4 students received an A  on the test.

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50 apple's cost $25. How much would 75 apples cost?
8_murik_8 [283]

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$37.5

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The SAT Reasoning Test (formerly called the Scholastic Aptitude Test) is perhaps the most widely used standardized test for coll
mihalych1998 [28]

Given Information:  

Mean SAT score = μ = 1500

Standard deviation of SAT score = σ = 3 00

Required Information:  

Minimum score in the top 10% of this test that qualifies for the scholarship = ?

Answer:

\bar{x} = 1884\\

Step-by-step explanation:

What is Normal Distribution?

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.  

We want to find out the minimum score that qualifies for the scholarship by scoring in the top 10% of this test.

P(X > \bar{x} )= P(Z > \bar{x}) = 0.10\\P(X < \bar{x} )= P(Z < \bar{x}) = 1 - 0.10\\P(X < \bar{x} )= P(Z < \bar{x}) = 0.90\\

The z-score corresponding to the probability of 0.90 is 1.28 (from the z-table)

\bar{x} = \mu + z(\sigma) \\\bar{x} = 1500 + 1.28(300)\\\bar{x} = 1500 + 384\\\bar{x} = 1884\\

Therefore, you need to score 1884 in order to  qualify for the scholarship.

How to use z-table?

Step 1:

In the z-table, find the probability value of 0.90 and note down the value of the that row which is 1.2

Step 2:

Then look up at the top of z-table and note down the value of the that column which is 0.08

Step 3:

Finally, note down the intersection of step 1 and step 2 which is 1.28

4 0
3 years ago
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