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kobusy [5.1K]
3 years ago
6

Correct Answers only please!

Mathematics
2 answers:
Airida [17]3 years ago
7 0

Answer:

C. $97

Step-by-step explanation:

i took the test

RideAnS [48]3 years ago
7 0

Answer with Step-by-step explanation:

Bob worked 15 consecutive day, earning an average wage of $90 per day.

Total wage for 15 days= $(90×15)

                                    = $1350

During the first 7 days his average was $87/day

Total wage for first 7 days=$(87×7)

                                  = $609

During the last 7 days was $92/day.

Total wage for last 7 days= $(92×7)

                                         = $644

Total wage for 15 days=Total wage of first 15 days+ Total wage of 8th day+ Total wage for last 7 days

⇒ 1350 = 609+wage of 8th day+ 644                  

⇒ wage of 8th day=1350-609-644

⇒ wage of 8th day=$97

Hence, Correct option is:

C. $97

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Answer:

20x/100 = 34/1

20x = 3400

x = 170

Step-by-step explanation:

4 0
3 years ago
Two mechanics worked on a car. The first mechanic worked for 15
nevsk [136]

Answer: For the sum of 130

First: $90

Second: $40

Step-by-step explanation:

We write equations for each part of this situation.

<u>The Total Charge</u>

Together they charged 1550. This means 1550 is made up of the first mechanics rate for 15 hours and the second's rate for 5 hours. Lets call the first's rate a, so he charges 15a. The second's let's call b. He charges 5b. We add them together 15a+5b=1550.

<u>The Sum of the Rates</u>

Since the first's rate is a and the second is b, we can write a+b=130 since their sum is 130.

We solve for a and b by substituting one equation into another. Solve for the variable. Then substitute the value into the equation to find the other variable.

For a+b=130, rearrange to b=130-a and substitute into 15a+5b=1550.

15a + 5 (130-a)=1550

15a+650-5a=1550

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10a=900

a=$90 was charged by the first mechanic.

We substitute to find the second mechanic's rate.

90+b=130

90-90+b=130-90

b= $40 was charged by the second mechanic

5 0
3 years ago
A book seller gains 30% on the cost price by selling a book for $130.Calculate the cost price of the book.​
zlopas [31]

Answer:

Let the cost price be x

  • Selling price, S.P. = 130
  • Gain % = 30%

\rm{C.P. = \dfrac{S.P. \times 100}{100+ gain \% }}

\rm{C.P. = \dfrac{130 \times 100}{100+30}}

\rm{ C.P. = \dfrac{130}{30} }

\large{\boxed{\rm{ C.P. =  \dfrac{13}{3}}}}

6 0
2 years ago
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The answer to the question is C
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3 years ago
Assume that 8​% of people are​ left-handed. We select 6 people at random. ​a) How many lefties do you​ expect? ​b) With what sta
klemol [59]

Answer:

a) 0.48

b) 0.6645

c) 12.5

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are left-handed, or they are not. The probabilities of each person being left-handed are independent. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

The number of trials expected to find r sucesses is given by

N = \frac{r}{p}

In this problem we have that:

Assume that 8​% of people are​ left-handed. We select 6 people at random. ​

This means that p = 0.08, n = 6

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E(X) = np = 6*0.08 = 0.48

​b) With what standard​ deviation?

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{6*0.08*0.92} = 0.6645

​c) If we keep picking people until we find a​ lefty, how long do you expect it will​ take?

Number of trials to find 1 success. So

N = \frac{r}{p} = \frac{1}{0.08} = 12.5

4 0
3 years ago
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