A truck averages 20 miles per gallon. The equation m = 20g represents the relationshi, where m is the yotal miles a trick can go and g is the gallons of gas in the tank. How far can the truck go on 6, 8, or 10 gallons of gas?

Answers

Answer 1

Answer: Answer:
6 gallons = 120 miles
8 gallons = 160 miles
10 gallons = 200 miles

Multiply 20, the number of miles you get per gallon by the number of gallons of has you put into the truck.

Example:
10gallons x 20miles per gallon = 200 miles

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The parallelogram shown below has an area of 15 units^2Find the missing height.

Answers

Answer:

I do believe the answer is 5: 15/3=5 and the height should be equal to the side of the parallelogram

Step-by-step explanation:

Y=BD-5, for B. solve for B

Answers

Answer:

Step-by-step explanation:

BD - 5 = Y

BD = Y + 5

B = (Y + 5)/D

y=BD-5
5+y=BD
B=D(y+5)

) How many such stations are required to be 98% certain that an enemy plane flying over will be detected by at least one station

Answers

Complete Question

The probability that a single radar station will detect an enemy plane is 0.65.

(a) How many such stations are required to be 98% certain that an enemy plane flying over will be detected by at least one station?

(b) If seven stations are in use, what is the expected number of stations that will detect an enemy plane? (Round your answer to one decimal place.)

Answer:

$n \approx 4$

Step-by-step explanation:

From the question we are told that

The probability that a single radar station will detect an enemy plane is $p =0.65$

Gnerally the probability that an enemy plane flying over will be detected by at least one station is mathematically represented as

$P(X \ge 1 ) = 0.98$

=> $P(X \ge 1 ) = 1 - P(X < 1) = 0.98$

=> $P(X = 0) = 1 - 0.98$ Note $P(X < 1) = P(X = 0)$

=> $P(X = 0) = 1 - 0.98$

=> $P(X = 0) = 0.02$

Generally from binomial probability distribution function

$P(X = 0) = ^nC_0 * p^(0) * (1- p)^(n- 0)$

Here C represents combination hence we will be making use of of combination functionality in our calculators

Generally any number combination 0 is 1

$P(X = 1) = 1 * 1* (1- 0.65)^(n- 0) = 0.02$

=> $(1- 0.65)^(n- 1) = 0.02$

taking log of both sides

$log [(0.35)^(n- 1) ] = log (0.02)$

=> ${n- 1}log[0.35] = -1.699$

=> ${n- 1}* -0.4559 = -1.699$

=> $n= 3.7264 + 1$

=> $n= 4.7264$

=> $n \approx 4$

Gnerally the expected number of stations that will detect an enemy plane is

$E(X) = 7 * 0.65$

=> $E(X) \approx4.5$

Convert 51.7% to a fraction in simplest form and a decimal.

Answers

0.517 as a decimal 517/10 as a fraction

Alejando read 4 pages in a book in 6 minutes. How long would you expect him to read 6 pages at this rate

Answers

Answer:

So simple

4 pages = 6 min

1 page = 6/4 min

6 pages = 6 × 6/4

6 pages = 9 min

he would read 6 pages in 9 minutes

Unit Activity: Advanced Functions

Answers

See attached file for the solution/explanation to the 12 questions.

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