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3 years ago

I need answers for 1 and 2

Mathematics

1 answer:

Snowcat [4.5K]3 years ago

8 0

1. Slope 3/4, through (4,-1)

y = 3/4 x + b

-1 = 3/4(4) + b

-1 = 3 + b

-1 - 3 = b

-4 = b

y = 3/4 x - 4

2. Slope = - 1/2, through (3,0)

y = -1/2 x + b

0 = -1/2(3) + b

0 = -1.5 + b

0 + 1.5 = b

1.5 = b

y = -1/2 x + 1.5

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What is 4.16 repeating as a fraction

strojnjashka [21]

4.16=416/100
416/100=4•104/4•25
=104/25
4.16=104/25

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3 years ago

Read 2 more answers

A certain hybrid car has a mileage rating of 57 miles per gallon. if the car makes a trip of 293 miles, how many gallons of gaso

dlinn [17]

To determine the number of gallons of gasoline that is used, we need to know the rate of usage of gasoline. This rate would describe the number of gasoline in units of volume that is being used per distance in units of length. In this case, we need the rate in units of miles per gallon. From what is asked and the given values, we simply divide the rate to the the total distance that was traveled by the car. We calculate as follows:

Gallons of gasoline = 293 miles / 57 miles / gallon
Gallons of gasoline = 5.14 gallons

Therefore, about 5 gallons of gasoline was consumed by the hybrid car for a distance of 57 miles.

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3 years ago

Noah pays $25.20 for non-perishable food items to give to the local homeless shelter the price includes a 5% sales tax.

Alexandra [31]

The question is incomplete:

Noah pays $25.20 for non perishable food items to give to the local homeless shelter the price includes a 5% sales of tax. what is the price before tax of the food items?

Answer:

$24

Step-by-step explanation:

From the information you have that the price of items is $25.20 and it includes a 5% tax. From this, you can write the following:

x+0.05x=25.20

Then, you can isolate x to find the price before tax:

1.05x=25.20

x=25.20/1.05

x= 24

According to this, the price before tax of the food items is $24.

5 0

3 years ago

. Lightning Strikes It has been said that the probability of being struck by lightning is about 1 in 750,000, but under what cir

mrs_skeptik [129]

Complete Question

The complete question is shown on the first uploaded image

Answer:

$P(U |D ) = 0.198$

$P(O\ n \ B) = 0.188$

$P(O | B) = 0.498$

Step-by-step explanation:

The total number of deaths is mathematically represented as

$T = 16 + 23 + \cdots + 16$

$T =623$

The total number of deaths in 1996 - 2000 is mathematically represented as

$T_a = 16 + 23+ \cdots + 30$

$T_a = 235$

The total number of deaths in 2001 - 2005 is mathematically represented as

$T_b = 17 + 16 + \cdots + 23$

$T_b = 206$

The total number of deaths in 2006 - 2010 is mathematically represented as

$T_c = 15 + 17 + \cdots + 16$

$T_d = 182$

Generally the the probability that it would occur under the tree given that the death was after 2000 is mathematically represented as

$P(U |D ) = \frac{P(A \ n\ U )}{P(A)}$

Here $P(A \ n\ U )$ represents the probability that it was after 2000 and it was under the tree and this is mathematically represented as

$P(A \ n\ U ) = \frac{Z}{ T}$

Here Z is the total number of death under the tree after 2000 and it is mathematically represented as

$Z = 35 + 42$

=> $Z = 77$

=> $P(A \ n\ U ) = \frac{77}{ 623}$

Also

$P(A)$ is the probability of the death occurring after 2000 and this is mathematically represented as

$P(A) = \frac{T_b + T_c}{ T}$

=> $P(A) = \frac{ 206+ 182}{623}$

$P(U |D ) = \frac{\frac{77}{ 623} }{ \frac{ 206+ 182}{623}}$

=> $P(U |D ) = 0.198$

Generally the probability that the death was from camping or being outside and was before 2001 is mathematically represented as

$P(O | B) = \frac{T_z}{ T}$

Here $T_z$ is the total number of death outside / camping before 2001 and the value is 117

$P(O \ n \ B) = \frac{117}{623}$

=> $P(O\ n \ B) = 0.188$

Generally the probability that the death was from camping or being outside given that it was before 2001 is mathematically represented as

$P(O | B) = \frac{ P( O \ n \ B)}{ P(B)}$

Here $P(B)$ is the probability that it was before 2001 , this is mathematically represented as

$P(B ) = \frac{T_a}{T}$

=> $P(B ) = \frac{235}{623}$

$P(O | B) = \frac{ \frac{117}{623}}{ \frac{235}{623}}$

=> $P(O | B) = 0.498$

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3 years ago

What is the value of the function y=4x-19 when x=-2.3?<br> y=_____?

IRINA_888 [86]

$y=4x-19\\\\put\ the\ value\ of\ x=-2.3\ to\ the\ equation:\\\\y=4(-2.3)-19=-9.2-19=\boxed{-28.2}$

7 0

3 years ago