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2 years ago

The sum of two numbers is 1. The difference of the numbers is 9. What are 5 points

Mathematics

1 answer:

Svetradugi [14.3K]2 years ago

7 0

Answer:

The numbers are 5 and -4

Step-by-step explanation:

let the numbers be =x and y

x+y=1—eqn 1

x-y=9—eqn 2

Add both equations

2x=10

x=5

Plug x=5 into eqn 2

5-y=9

5-9=y

y=-4

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Romashka [77]

Answer:

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Step-by-step explanation:

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3 years ago

Based on data collected from its production processes, Crosstiles Inc. determines that the breaking strength of its most popular

alexandr1967 [171]

Answer:

16% of its popular porcelain tile will have breaking strengths greater than 412.5 pounds per square inch.

Step-by-step explanation:

We are given that the breaking strength of its most popular porcelain tile is normally distributed with a mean of 400 pounds per square inch and a the standard deviation of 12.5 pounds per square inch.

Let X = the breaking strength of its most popular porcelain tile

SO, X ~ Normal( $\mu=400,\sigma^{2}=12.5^{2}$ )

The z score probability distribution for normal distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = mean breaking strength of porcelain tile = 400 pounds per square inch

$\sigma$ = standard deviation = 12.5 pounds per square inch

Now, probability that the popular porcelain tile will have breaking strengths greater than 412.5 pounds per square inch is given by = P(X > 412.5)

P(X > 412.5) = P( $\frac{X-\mu}{\sigma}$ > $\frac{412.5-400}{12.5}$ ) = P(Z > 1) = 1 - P(Z $\leq$ 1)

= 1 - 0.84 = 0.16

Therefore, 16% of its popular porcelain tile will have breaking strengths greater than 412.5 pounds per square inch.

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3 years ago

Sarah is buying some school clothes.

Svetllana [295]

The answer is the first one

6 0

2 years ago

Evaluate each expression. Name the property used in each step.

IRINA_888 [86]

1. (1 / 5)5 * 14 = 14 because 1/5 multplied by 5 is equal to 1. I believe this is called reciprocals.

2. 6 + 4 (19 - 5) = 6 + 4(19) - 4(5) = 6 + 76 - 20 = 62. This is called the distributive property.

3. 5 (14 - 5) + 6 (3 + 7) = 5(14) - 5(5) + 6(3) + 6(7) = 70 - 25 + 18 + 42 = 105. We also used the distributive property in this question.

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3 years ago

What is the constant term in the expression? 15a + 10b + 5 – 7b

MA_775_DIABLO [31]

Answer:

Step-by-step explanation:

15a , 10b , and -7b are coefficients.

4 0

2 years ago