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andrey2020 [161]
3 years ago
8

Alfonso has 435 stamps in his collection. He wants to collect at least 815 stamps. Write and

Mathematics
1 answer:
Lyrx [107]3 years ago
7 0

Answer:

x= 361

Step-by-step explanation:

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Trevor tutors French for $12 an hour and scoops ice cream for $8 an hour. He is going to work 20 hours this week. At least how m
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Step-by-step explanation:

Let M = total amount of money earned

M = 12x+8y

To make more than $190, the equation is:

190<12x+8y

Since Trevor is going to scoop ice cream for 20 hours, the equation is:

190<12x+8(20), which simplifies to 190<12x+160.

Isolate x to find the amount of hours that Trevor needs to tutor.

190-160<12x

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30/12<x

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Which algebraic property could be used to rewrite 4x + 2y as 2y + 4x? (3 points)
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Suppose that 12% of test scores for the unit 1 test were above 85 and 8% were below 70. Assuming a normal
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Answer:

Mean = 78.2

Standard deviation = 5.8

Step-by-step explanation:

Mathematically z-score;

= (x-mean)/SD

From the question;

12% of test scores were above 85

Thus;

P( x > 85) = 12%

P(x > 85) = 0.12

Now let’s get the z-score that has a probability of 0.12

This can be obtained from the standard normal distribution table and it is = 1.175

Thus;

1.175 = (85 - mean)/SD

let’s call the mean a and the SD b

1.175 = (85-a)/b

1.175b = 85 - a

a = 85 - 1.175b ••••••••(i)

Secondly 8% of scores were below 70

Let’s find the z-score corresponding to this proportion;

We use the standard normal distribution table as usual;

P( x < 70) = 0.08

z-score = -1.405

Thus;

-1.405 =( 70-a)/b

-1.405b = 70-a

a = 70 + 1.405b ••••••(ii)

Equate the two a

70 + 1.405b = 85 - 1.175b

85 -70 = 1.405b + 1.175b

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b = 15/2.58

b = 5.81

a = 70 + 1.405b

a = 70 + 1.405(5.81)

a = 78.16

So mean = 78.2 and Standard deviation is 5.8

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