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Shtirlitz [24]
3 years ago
14

Sean is employed as a truck driver. He drives x hours a week and is paid $21.60 per hour. Also he is paid $250 for food per week

. This week he earned a total of $1,114. How many hours did he drive?
Mathematics
1 answer:
allsm [11]3 years ago
5 0

Answer:

Hours driven= 40 hours

Step-by-step explanation:

Giving the following information:

Variable income= $21.6 per hour

Fixed income= $250

Total income= $1,114

<u>To calculate the number of hours driven, we need to use the following formula:</u>

Total income= fixed income + hourly rate*number of hours

1,114 = 250 + 21.6*x

864 = 21.6x

864 / 21.6 = x

40=x

Hours driven= 40 hours

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love history [14]

Answer:

To be able to approximate the sampling distribution with a normal model, it is needed that np \geq 10 and n(1-p) \geq 10, and both conditions are satisfied in this problem.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they will make payments on time, or they won't. The probability of a person making the payment on time is independent of any other person, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

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

The sampling distribution can be approximated to a normal model if:

np \geq 10 and n(1-p) \geq 10

Based on past experience, a bank believes that 8.9 % of the people who receive loans will not make payments on time.

This means that p = 0.089

The bank has recently approved 220 loans.

This means that n = 220

What must be true to be able to approximate the sampling distribution with a normal model?

np = 220*0.089 = 19.58 \geq 10

n(1-p) = 220*0.911 = 200.42 \geq 10

To be able to approximate the sampling distribution with a normal model, it is needed that np \geq 10 and n(1-p) \geq 10, and both conditions are satisfied in this problem.

3 0
3 years ago
Which of these sets of points lie within plane w?
Alika [10]

Answer:

option c boo if it's for plata

4 0
3 years ago
In 2004, a pine tree was 5 3/4 ft tall. If the tree grew at an average rate of 5/6 ft per year for the next 7 years, how tall wo
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Answer:

11 7/12 ft tall

Step-by-step explanation:

5 3/4 + (5/6*7)

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11 7/12

7 0
3 years ago
A square has a perimeter of 12x + 52 units. Which expression represents the side length of the square in units?
DochEvi [55]
1. Find the surface area of the rectangular prism. (1 point) 
<span>Measures are 2, 3, and 4 inches. Let W=2, L=3, H=4 </span>
<span>a rectangular has six sides, the total surface area is equal to 6 plains: </span>
<span>2*W*L + 2*L*H + 2*L*W </span>
<span>= 2*(W*L + L*H + L*W) </span>
<span>= 2 * (2*3 + 3*4 + 4*2) </span>
<span>= 2 * ( 6 + 12 + 8 ) </span>
<span>= 2 * 26 </span>
<span>= 52 ................... the last choice </span>

<span>2. A cube has a side length of x feet. Which expression represents the surface area of the cube? (1 point) </span>

<span>Area of one face = x^2, Total Area of 6 faces = 6*x^2 = 2x^2 units </span>


<span>3. Find the surface area of the cylinder. Use 3.14 for pi . (1 point) </span>
<span>Length: 15 cm, Diameter: 2 cm </span>
<span>A cylinder has 3 surfaces: two circles + one curved surface area </span>
<span>...... two circles of 2cm diameter (1cm radius) </span>
<span>A = pi*r^2 = 3.14*1*1 = 3.14 sq. cm ...... two circles' area = 6.28 sq.cm </span>
<span>Curved surface area = circumference * length </span>
<span>.... circumference = pi*d = 3.14 * 2 = 6.28 cm ......... length = 15 </span>
<span>curved surface area = 6.28*15 = 94.2 sq. cm </span>

<span>Add both for total surface area = 6.28 + 94.2 = 100.48 sq.cm </span>


<span>4. The bottom of a shopping bag measures 8 inches by 10 inches. The bag has a height of 12 inches. How much paper is needed to make the bag? (1 point) </span>
<span>two pieces of paper ... one for bottom = 8*10 = 80 sq.in </span>
<span>the other ... height * perimeter of the bottom = 12*(2*(10+8)) = 12 * 2 * 18 = 432 sq.in </span>
<span>Add both: 80 + 432 = 512 sq.in <<<<<<<<<<<</span>
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Answer:a

Step-by-step explanation:

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