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Pachacha [2.7K]
3 years ago
9

Donald Duck's car gets 30 miles per gallon. How many miles can he drive on 9.2 gallons of gas? At $ 2.19 a gallon, how much woul

d that cost?
Mathematics
1 answer:
Vinil7 [7]3 years ago
5 0

Answer:

276 miles, $ 20.148

Step-by-step explanation:

Given:

Donald Duck's car travels in 1 gallon gas = 30 miles

Cost of 1 gallon = $ 2.19

Question asked:

Distance travel in 9.2 gallons = ?

Cost of 9.2 gallons of gas = ?

Solution:

By applying unitary method:

His car travels in 1 gallon = 30 miles

His car will travel in 9.2 gallons = 9.2\times30

                                                    =  276 miles

Cost of 1 gallon = $ 2.19

Cost of 9.2 gallons = 9.2\times2.19

                                = $ 20.148

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In a particular course, it was determined that only 70% of the students attend class on Fridays. From past data it was noted tha
siniylev [52]

Answer: Probability that students who did not attend the class on Fridays given that they passed the course is 0.043.

Step-by-step explanation:

Since we have given that

Probability that students attend class on Fridays = 70% = 0.7

Probability that who went to class on Fridays would pass the course = 95% = 0.95

Probability that who did not go to class on Fridays would passed the course = 10% = 0.10

Let A be the event students passed the course.

Let E be the event that students attend the class on Fridays.

Let F be the event that students who did not attend the class on Fridays.

Here, P(E) = 0.70 and P(F) = 1-0.70 = 0.30

P(A|E) = 0.95,  P(A|F) = 0.10

We need to find the probability that they did not attend on Fridays.

We would use "Bayes theorem":

P(F\mid A)=\dfrac{P(F).P(A\mid F)}{P(E).P(A\mid E)+P(F).P(A\mid F)}\\\\P(F\mid A)=\dfrac{0.30\times 0.10}{0.70\times 0.95+0.30\times 0.10}\\\\P(F\mid A)=\dfrac{0.03}{0.695}=0.043

Hence, probability that students who did not attend the class on Fridays given that they passed the course is 0.043.

8 0
3 years ago
A $60.00 pair of shows is discounted 25% and then marked up 25%
Anika [276]
It would seem that the 25% down and 25% increase would cancel each other out and the shoes would remain $60
7 0
3 years ago
Find the volume of a sphere with a radius of 9 inches. Use 3.14 for π. Round your answer to the nearest tenth..
azamat
Answer: 3053.6 in^3

To find the volume of a sphere, you first must identify the formula: (4/3)pi(r)^3

You’re given the radius 9 inches
And you’re also given the pi approximation 3.14.

With that in mind, we can plug those variables in the formula to get:
(4/3)(3.14)(9in)^3 = 3053.63 in^3

And rounded to the tenths place:
3053.6 in^3
7 0
3 years ago
PLS HELP I HAVE 4 HOURS
Alenkasestr [34]

Answer: Reflection

Step-by-step explanation:

7 0
2 years ago
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Solve for d.<br> a - C= d - r
MArishka [77]

Answer:

a - C + r = d

Step-by-step explanation:

a - C = d - r

add r to both sides

a - C + r = d

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