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leonid [27]
3 years ago
12

11-12

Mathematics
1 answer:
disa [49]3 years ago
7 0

Answer:

b)=(4,8) (2,6)

a)3,8 2,5

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A car uses 8 gallons of gasoline to travel 290 miles.Juanita wants to take a trip that is 400 miles. What equation will she need
olchik [2.2K]

Answer:

To find this answer, you would need to find how many miles 1 gallon of gas will take them. To find this, you would do 290÷8=36.25. So with this information, you will be able to find out how much gas it would take to travel 400 miles. You would do 400÷36.25=11.03. 11.03 would be how many gallons of gas is used to travel 400 miles. Hope this helps! :)

Step-by-step explanation:

3 0
3 years ago
Including a 5 percent sales tax, a hotel charges $147 per night. What’s the cost without the tax
Arisa [49]
For one night WITH SALES TAX, it would be $154.35, but without sales tax, it would just be $147.. unless you add tip, you would just multipy the original by the percent of the tip then add that answer to the original price.

Solving Steps:

WITH SALES TAX :
$147 x 5% = 7.35 or $147 x .05 = 7.35
147 + 7.35 = $154.35
5 0
3 years ago
The length of a rectangle is 7 inches more than twice the width. The
solmaris [256]

Answer:

Length: 25

Width: 9

Step-by-step explanation:

3 0
3 years ago
Will mark brainiest!!<br> Only answer questions a and b
k0ka [10]

Answer:

f1 ( x ) valid pdf . f2 ( x ) is invalid pdf

k = 1 / 18 , i ) 0.6133 , ii ) 0.84792

Step-by-step explanation:

Solution:-

A) The two pdfs ( f1 ( x ) and f2 ( x ) ) are given as follows:

                     

- To check the legitimacy of a continuous probability density function the area under the curve over the domain must be equal to 1. In other words the following:

                   

- We will perform integration of each given pdf as follows:

                   

                   

Answer: f1 ( x ) is a valid pdf; however, f2 ( x ) is not a valid pdf.

B)

- A random variable ( X ) denotes the resistance of a randomly chosen resistor, and the pdf is given as follows:

                       if  8 ≤ x ≤ 10

                               0  otherwise.

- To determine the value of ( k ) we will impose the condition of validity of a probability function as follows:

                     

- Evaluate the integral as follows:

                     ... Answer

- To determine the CDF of the given probability distribution we will integrate the pdf from the initial point ( 8 ) to a respective value ( x ) as follows:

                     

To determine the probability p ( 8.6 ≤ x ≤ 9.8 ) we will utilize the cdf as follows:

                   p ( 8.6 ≤ x ≤ 9.8 ) = F ( 9.8 ) - F ( 8.6 )

                   p ( 8.6 ≤ x ≤ 9.8 ) =

ii) To determine the conditional probability we will utilize the basic formula as follows:

               p ( x ≤ 9.8  | x ≥ 8.6 ) = p ( 8.6 ≤ x ≤ 9.8 ) / p ( x ≥ 8.6 )

               p ( x ≤ 9.8  | x ≥ 8.6 ) = 0.61333 / [ 1 - p ( x ≤ 8.6 ) ]

               p ( x ≤ 9.8  | x ≥ 8.6 ) = 0.61333 / [ 1 - 0.27666 ]

               p ( x ≤ 9.8  | x ≥ 8.6 ) = 0.61333 / [ 0.72333 ]

               p ( x ≤ 9.8  | x ≥ 8.6 ) = 0.84792 ... answer

Hope it helps! ;)

4 0
2 years ago
Adam rides his bike from his home to the school's bike lot at point F each day. Assuming he takes the same route home, how far d
Wewaii [24]
I'm saying the answer is D.
7 0
3 years ago
Read 2 more answers
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