First, you need to create a unit rate.
The car travels 182 miles on 14 gallons of gas.
To create a unit rate, you would have to divide 14 by 182.

182 mi 13 mi
———— = ———-
14 gal 1 gal

Then, you would need to multiply the numerator and denominator by 8 because the question is asking how far the car can travel on 8 gallons of gas.

13 mi x 8 104 mi
——— = ————
1 gal x 8 8 gal

So, your answer is the car travels 104 miles on 8 gallons of gas.

7 0

3 years ago

HELP ME SOLVE THESE PLEASE

Fittoniya [83]

Answer:

True

Step-by-step explanation:

An input is always anything that equals a sum.

Input: Small-Medium-Large

Output: Prices

7 0

3 years ago

Read 2 more answers

A multiple choice test consists of 60 questions. Each question has 4 possible answers of which one is correct. If all answers ar

Inga [223]

Answer:

Option 4 - 0.8508

Step-by-step explanation:

Given : A multiple choice test consists of 60 questions. Each question has 4 possible answers of which one is correct. If all answers are random guesses.

To find : Estimate the probability of getting at least 20% correct ?

Solution :

20% correct out of 60,

i.e. $20\%\times 60=\frac{20}{100}\times 60=12$

Minimum of 12 correct out of 60 i.e. x=12

Each question has 4 possible answers of which one is correct.

i.e. probability of answering question correctly is $p=\frac{1}{4}=0.25$

Total question n=60.

Using a binomial distribution,

$P(X\geq 12)=1-P(X\leq 11)$

$P(X\geq 12)=1-[P(X=0)+P(X=1)+P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)+P(X=6)+P(X=7)+P(X=8)+P(X=9)+P(X=10)+P(X=11)]$

$P(X\geq 12)=1- [^{60}C_0(0.25)^0(1-0.25)+^{60-0}+^{60}C_1(0.25)^1(1-0.25)^{60-1}+^{60-1}+^{60}C_2(0.25)^2(1-0.25)^{60-2}+^{60}C_3(0.25)^3(1-0.25)^{60-3}+^{60}C_4(0.25)^4(1-0.25)^{60-4}+^{60}C_5(0.25)^5(1-0.25)^{60-5}+^{60}C_6(0.25)^6(1-0.25)^{60-6}+^{60}C_7(0.25)^7(1-0.25)^{60-7}+^{60}C_8(0.25)^8(1-0.25)^{60-8}+^{60}C_9(0.25)^9(1-0.25)^{60-9}+^{60}C_{10}(0.25)^{10}(1-0.25)^{60-10}+^{60}C_{11}(0.25)^{11}(1-0.25)^{60-11}]$

$P(X\geq 12)\approx 0.8508$

Therefore, option 4 is correct.

4 0

4 years ago