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Maru [420]
3 years ago
10

The first shipping by company charges a fee of $20 to ship a medium box, plus an additional $1 per pound. A second company charg

es $15 for the same size box, plus an additional $2 per pound. At a certain weight, the two shipping methods will cost the same amount. How much will it cost
Mathematics
1 answer:
viktelen [127]3 years ago
7 0

Answer:

Total cost=$25

Step-by-step explanation:

We can derive two expressions as follows;

Total cost for the First shipping company=Medium box charges+total additional charges

where;

Medium box charges=$20

Total additional charges=Charges per pound×number of additional pounds (n)

Total additional charges=1×n=n

replacing;

Total cost for the First shipping company=20+n....equation 1

Total cost for the second shipping company=Medium box charges+total additional charges

where;

Medium box charges=$15

Total additional charges=Charges per pound×number of additional pounds (n)

Total additional charges=2×n=2 n

replacing;

Total cost for the First shipping company=15+2 n....equation 2

Equating equation 1 and equation 2

15+2 n=20+n

2 n-n=20-15

n=5

Replace the value for n in equation 2

Total cost for the First shipping company=15+2 n....equation 2

Total cost=15+(2×5)=$25

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A driver and a passenger are in a car accident. Each of them independently has probability 0.3 of being hospitalized. When a hos
kompoz [17]

Answer:

0.534

Step-by-step explanation:

p(0 losses) = 0.7² = 0.49

p(1 loss) = 2 x 0.3 x 0.7 = 0.42

p(2 losses) = 0.09

This is a conditional probability problem. If the number of people hospitalized is 0 or 1, then the  total loss will be less than 1. However, if two people are hospitalized, the probability that the  total loss will be less than 1 is 0.5. we need to exclude the 50% x 0.09 chance of a double loss costing more than 1. So

P(Cost < 1)

= 0.49 + 0.42 +0.045

= 0.955

P(0 losses | Cost < 1)

= P(0 losses and Cost < 1) / P(Cost < 1)

= 0.49 / 0.955 = 0.513

P(1 loss | Cost < 1)

= 0.42 / 0.955 = 0.440

P(2 losses | Cost < 1) = 0.045 / 0.955 = 0.047

Now take the expectation:

E[X] = (0)(0.513) + (1)(0.440) + (2)(0.047)

= 0.440 + 0.094

= 0.534

5 0
3 years ago
What is the value of k?
ki77a [65]

Answer:

k = 10

Step-by-step explanation:

the sum of any two interior angles is equal to the exterior angle of the unknown interior angle

4k+5 + 6k+10 = 115

10k + 15 = 115

10k = 100

k = 10

4 0
2 years ago
The amount of soda dispensing machine pours into a can of soda is normally distributedwith a mean of 12 ounces and a standard de
kaheart [24]

Answer:

0.1056

Step-by-step explanation:

Mean(μ) = 12 ounce

Standard deviation (σ) = 0.2 ounce

P(x<11.75) = ???

Let x be the random variable for the amount of soda a machine will dispense.

Using normal distribution

Z = (x - μ) / σ

Z = (11.75 - 12) / 0.2

Z = (-0.25)/0.2

Z = -1.25

From the normal distribution table

1.28 is 0.3944

Φ(z) is the tabular value of z

Φ(z) = 0.3944

Recall that when Z is negative

P(x<a) = 0.5 - Φ(z)

P(x < 11.75) = 0.5 - 0.3944

= 0.1056

7 0
3 years ago
in 2 hours a candy maker can make 80 boxes that each have 10 pieces of candy and each how many pieces of candy does a candy make
Nata [24]

Answer:

Dont no but will check

planation:

7 0
3 years ago
The proportional relationship between the number of hours a business operates and its total cost of electricity is shown in the
aalyn [17]

Answer:

The answer is A.

Step-by-step explanation:

6 0
2 years ago
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