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3 years ago

Diana and Sujit clean homes for a summer job. They charge $70 for the job

Mathematics

1 answer:

RideAnS [48]3 years ago

7 0

Answer:

Total income= $84.53

Step-by-step explanation:

Giving the following information:

They charge $70 for the job

plus 5% for supplies. A homeowner gave them a 15% tip.

First, we need to calculate the total cost for the job:

Total cost= 70*1.05

Total cost= $73.5

Now, the total cost plus the tip:

Total income= 73.5*1.15= $84.53

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When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 5%. Let

HACTEHA [7]

Answer:

(a) The value of P (X ≤ 2) is 0.8729.

(b) The value of P (X ≥ 5) is 0.0072.

(d) The probability that none of the 25 boards is defective is 0.2774.

(e) The expected value and standard deviation of X are 1.25 and 1.09 respectively.

Step-by-step explanation:

The random variable X is defined as the number of defective boards.

The probability that a circuit board is defective is, p = 0.05.

The sample of boards selected is of size, n = 25.

The random variable X follows a Binomial distribution with parameters n and p.

The probability mass function of X is:

$P(X=x)={25\choose x}0.05^{x}(1-0.05)^{25-x};\ x=0,1,2,3...$

(a)

Compute the value of P (X ≤ 2) as follows:

P (X ≤ 2) = P (X = 0) + P (X = 1) + P (X = 2)

$P(X\leq =x)=\sum\limits^{2}_{x=0}{{25\choose x}0.05^{x}(1-0.05)^{25-x}}\\=0.2774+0.3650+0.2305\\=0.8729$

Thus, the value of P (X ≤ 2) is 0.8729.

(b)

Compute the value of P (X ≥ 5) as follows:

P (X ≥ 5) = 1 - P (X < 5)

$=1-\sum\limits^{4}_{x=0}{{25\choose x}0.05^{x}(1-0.05)^{25-x}}\\=1-0.9928\\=0.0072$

Thus, the value of P (X ≥ 5) is 0.0072.

(c)

Compute the value of P (1 ≤ X ≤ 4) as follows:

P (1 ≤ X ≤ 4) = P (X = 1) + P (X = 2) + P (X = 3) + P (X = 4)

$=\sum\limits^{4}_{x=1}{{25\choose x}0.05^{x}(1-0.05)^{25-x}}\\=0.3650+0.2305+0.0930+0.0269\\=0.7154$

Thus, the value of P (1 ≤ X ≤ 4) is 0.7154.

(d)

Compute the value of P (X = 0) as follows:

$P(X=0)={25\choose 0}0.05^{0}(1-0.05)^{25-0}=1\times 1\times 0.277389=0.2774$

Thus, the probability that none of the 25 boards is defective is 0.2774.

(e)

Compute the expected value of X as follows:

$E(X)=np=25\times 0.05=1.25$

Compute the standard deviation of X as follows:

$SD(X)=\sqrt{np(1-p)}=\sqrt{25\times 0.05\times (1-0.05)}=1.09$

Thus, the expected value and standard deviation of X are 1.25 and 1.09 respectively.

8 0

4 years ago

Reese's truck can go 1,040miles on a full tank of 52gallons of gas. Find the rate of miles per gallon.

Vesna [10]

Answer:

Step-by-step explanation:

Since the truck goes 1040 miles and costs 52 gallons of gas every tiime it goes 1040 miles, we can divide 1040 by 52 to see how far 1 gallon of gas will get you. 1040/52=20 so every 20 miles cost 1 gallon of gas

8 0

3 years ago

Pls solve I need this today

frez [133]

Answer:

Step-by-step explanation:

8 0

2 years ago

For a certain race, 3 teams were allowed to enter 3 members each. A team earned 6 – n points whenever one of its members finishe

ololo11 [35]

Answer:

The least possible score a team could have earned is 3.

Step-by-step explanation:

From the given information it is clear that the total number of teams is 3.

Total number of members in each team is 3.

A team earned 6 – n points whenever one of its members finished in nth place, where 1 ≤ n ≤ 5.

It means the points for 1st, 2nd, 3rd, 4th, and 5th place are 5, 4, 3, 2 and 1 respectively.

Total points that can be earned all teams together = 5+4+3+2+1=15

There were no ties, disqualifications, or withdrawals.

To minimize the score of a team, we have to maximize the score of the other two teams.

It is given that no team earned more than 6 points,

Let two teams earn there maximum score. i.e. 6. So the score of third team is

$15-6-6=3$

Therefore, the least possible score a team could have earned is 3.

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3 years ago

What is 3+3!!??!!??!!??!!??!!??!!??

fenix001 [56]

Answer:

Step-by-step explanation:

cause 3+3 is 6

thanks for the easy points :3

5 0

3 years ago

Read 2 more answers