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Oxana [17]
2 years ago
5

ben owns a older american truck. The odometer shows distance travelled in miles. On a recent trip to deliver produce for his emp

loyer, he drove 1564 miles. His employer pays him $0.89/km for the use of his own truck. How much will he be reimbursed for the use of his truck for the trip?
Mathematics
1 answer:
expeople1 [14]2 years ago
3 0

Answer:

$2,239.66

Step-by-step explanation:

To find the amount of reimbursement, convert miles to km by multiplying 1564 by 1.609 since 1 mile = 1.609 km.

He drive 1564(1.609)=2,516.476 km.

Multiply this distance by $0.89 per km.

2516.476(0.89)=$2,239.66

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Jordan is a single taxpayer with taxable income of $35,000. Use this tax bracket table to compute Jordan’s total tax due. Single
Anna007 [38]

Answer:

$4200

Step-by-step explanation:

12% of 35000, because it's between 9,526 and 38,700.

That is .12 * 35000 = $4200

6 0
2 years ago
What does x and y equal to 2x-3y=-7 2x+y=13
Vinvika [58]

Answer: x=4,y=5

Step-by-step explanation:

7 0
2 years ago
Let X represent the amount of time until the next student will arrive in the library parking lot at the university. If we know t
Ber [7]

Answer:

The probability that it will take more than 10 minutes for the next student to arrive at the library parking lot is 0.0821.

Step-by-step explanation:

The random variable <em>X</em> is defined as the amount of time until the next student will arrive in the library parking lot at the university.

The random variable <em>X</em> follows an Exponential distribution with mean, <em>μ</em> = 4 minutes.

The probability density function of <em>X</em> is:

f_{X}(x)=\lambda e^{\lambda x};\ x\geq 0, \lambda >0

The parameter of the exponential distribution is:

\lambda=\frac{1}{\mu}=\frac{1}{4}=0.25

Compute the value of P (X > 10) as follows:

P(X>10)=\int\limits^{\infty}_{10}{0.25e^{-0.25x}}\, dx

                 =0.25\times \int\limits^{\infty}_{10}{e^{-0.25x}}\, dx\\=0.25\times |\frac{e^{0.25x}}{-0.25}|^{\infty}_{10}\\=(e^{-0.25\times \infty})-(e^{-0.25\times 10})\\=0.0821

Thus, the probability that it will take more than 10 minutes for the next student to arrive at the library parking lot is 0.0821.

3 0
2 years ago
Spin the spinner 90 times to simulate the 90-day weather forecast. Which type of weather has the lowest observed frequency?
tensa zangetsu [6.8K]

Complete Question:

The weather forecast for next season calls for a 10% chance of wind, a 20% chance of rain, a 30% chance of clouds, and a 40% chance of sunshine. If there are 90 days in the season,spin the spinner 90 times to simulate the 90-day weather forecast. Which type of weather has the lowest observed frequency?

Answer:

 Wind Weather

Step-by-step explanation

From the question above

The sample space(which means the total number of events that we are considering ) = 90 times of spinning which represents the 90 days  weather forecast

The chance of wind weather occurring is 10% and its observed  frequency of occurrence within the 90 days is  =  (10÷100) × 90 =  9 days

The chance of rain weather occurring is 20% and its observed  frequency of occurrence within the 90 days is  =  (20÷100) × 90 =  18 days

The chance of cloud weather occurring is 30% and its observed frequency of occurrence  within the 90 days is  =  (30÷100) × 90 =  27 days

The chance of sunshine weather occurring is 40% and its observed frequency of occurrence within the 90 days is  =  (40÷100) × 90 =  36 days

We see from the above calculation that the weather with the lowest observed frequency is Wind weather

 

8 0
2 years ago
Read 2 more answers
A door with width 4.20m has an arc as shown in the diagram. Find: a) the radius of the arc, to the nearest cm. b) the length of
Ksju [112]

Hi there!

~

R = \frac{2.1}{sin 67.5}

Arc = R \frac{3\pi }{4}

(A)

Hope this helped you!

5 0
2 years ago
Read 2 more answers
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