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REY [17]
2 years ago
4

Jay earns $50 per week plus $5.25 fro each hour worked in a given week Fred earnings are calculated using the formula p=6.25(x+8

) where x is the number of hours Matt worked which statement is true.
a. jay earns 2.75 per hour less than Fred.
b. Fred earns $40 more the jay for 40 hours of work.
c, jay and Fred both earn the same for 40 hours of work in a week
Mathematics
1 answer:
irakobra [83]2 years ago
3 0

Answer:

option b.

Step-by-step explanation:

1. let y represent 1 hours for jay. He gets $50 per week with $5.25 per week. So, he can earn, j = 5.25y + 50 dollars for working y hours.

2. they gave us the formula for matt(aka fred?): p = 6.25 (x+8)... where x must be representing hours as the work is based on how many hours someone works.

3. for option a, we use 1 hour for each formula. <u><em>wrong</em></u>

   so for jay, j = 5.25(1)+50 = 55.25  dollars

   and for matt/ fred, p = 6.25 (1+8) = 56.25 dollars

   (56.25 - 55.25) = 1 dollars which makes the option incorrect.

4. for option b, we use 40 hours for each formula. <em><u>correct</u></em>

   so for jay, j = 5.25(40) +50 = 260 dollars

   and for matt/ fred, p = 6.25 (40+8) = 300 dollars

   (300 - 260) = 40 dollars which makes the option correct.

5. for option c, we can see its <u><em>wrong</em></u> as for 40 hours of work, jay earns $260 and matt/fred earns $300.

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Nadusha1986 [10]

Answer: Our required probability would be 0.70.

Step-by-step explanation:

Since we have given that

Number of players = 14

Number of players have recently taken a performance enhancing drug = 3

Number of players have not recently taken a performance enhancing drug = 14-3=11

Number of members chosen randomly = 5

We need to find the probability that at least one of the tested players is found to have taken a performance enhancing drug.

P(Atleast 1) = 1 - P(none is found to have taken a performance enhancing drug)

So, P(X≥1)=1-P(X=0)

P(X\geq 1)=1-^5C_0(\dfrac{11}{14})^5\\\\P(X\geq 1)=1-(0.786)^5\\\\P(X\geq 1)=0.70

Hence, our required probability would be 0.70.

7 0
2 years ago
Andy takes a computer course exam He scores 53 marks out of 75. the table shows the result obtained based on the percentage in t
xeze [42]
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4 0
2 years ago
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Do oddsmakers believe that teams who play at home will have home field advantage? Specifically, do oddsmakers give higher point
vladimir2022 [97]

Answer:

Option 3 is correct.

The data do not provide sufficient evidence to reject H0; thus, we cannot conclude that the mean point spread of home games is higher than that of away games.

Step-by-step explanation:

Before anything else, we first give the null and alternative hypothesis for this question.

Null hypothesis would be that there isn't significant evidence to conclude that the mean point spread of home games is higher than that of away games.

H0: µ1 = µ2

And the alternative hypothesis would be that there is significant evidence to conclude that the mean point spread of home games is higher than that of away games.

Ha: μ1 > μ2

The data from the output of the analysis of the hypothesis test is missing from the question. It was obtained online and is attached to this solution of the question.

The table consists of the difference, the sample mean, the standard error of the mean, degree of freedom, the test statistic and most importantly, the p-value. It is the p-value that absolutely gives us the concluding statement of the hypothesis testing.

When the significance level for a test isn't provided, the convention is usually to use 5% significance.

Interpretation of p-value

When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.

So, for this question, significance level = 0.05

p-value = 0.4351

0.4351 > 0.05

Hence,

p-value > significance level

This means that we fail to reject the null hypothesis & say that 'The data do not provide sufficient evidence to reject H0; thus, we cannot conclude that the mean point spread of home games is higher than that of away games'.

Hope this Helps!!!

7 0
2 years ago
489 to the nearest ten​
sammy [17]
8 is in the tenth position.

In order to round up, the number behind it (in this case. 9) must be one of the numbers of 5-9. Because 9 meets this requirement, you can round 8 to 9 and this will make 9 to 0.

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4 0
2 years ago
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diamong [38]

Answer:

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Step-by-step explanation:

If we call the number of cars Oscar sold O, and the number of cars Jackie sold J, we can say the following:

O = J + 6

As Oscar sold 6 cars more than Jackie.

Together, they sold 30 cars.

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Since we know that:

O = J + 6

... we can put this into our previous equation.

O + J = 30

(J + 6) + J = 30

J + J + 6 = 30

2 * J + 6 = 30

Subtract 6 from both sides:

2 * J = 24

Divide both sides by 2:

J = 24 / 2

J = 12

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8 0
2 years ago
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