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kirill [66]
3 years ago
8

I need this answer rn it’s important plz help me

Mathematics
1 answer:
timurjin [86]3 years ago
8 0

Answer:

y- intercept = 22

Step-by-step explanation:

to find the y- intercept substitute x = 0 into f(x)

f(0) = (0 - 11)(0 - 2) = - 11 × - 2 = 22 → (0, 22 )


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The Royal Fruit Company produces two types of fruit drinks. The first type is 55% pure fruit juice, and the second type is 80% p
Stolb23 [73]

Answer:

First type of fruit drinks: 48 pints

Second type of fruit drinks: 32 pints

Step-by-step explanation:

Let's call A the amount of first type of fruit drinks. 55% pure fruit juice

Let's call B the amount of second type of fruit drinks. 80% pure fruit juice

The resulting mixture should have 65% pure fruit juice and 80 pints.

Then we know that the total amount of mixture will be:

A + B = 80

Then the total amount of pure fruit juice in the mixture will be:

0.55A + 0.8B = 0.65 * 80

0.55A + 0.8B = 52

Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -0.8 and add it to the second equation:

-0.8A -0.8B = -0.8*80

-0.8A -0.8B = -64

-0.8A -0.8B = -64

               +

0.55A + 0.8B = 52

--------------------------------------

-0.25A = -12

A = \frac{-12}{-0.25}

A = 48\ pints

We substitute the value of A into one of the two equations and solve for B.

48 + B = 80

B = 32\ pints

6 0
3 years ago
The manager of a gas station has observed that the times required by drivers to fill their car's tank and pay are quite variable
maw [93]

Answer: 0.49

Step-by-step explanation:

The mean= E[x]=1/l= 7.5 min

l=1/7.5 =10/75=2/15

The exponential distribution's  probability density function is looking like that:

F(x)= l*e^(-l*x) = 2/15*e^(-2*x/15)

P(0<x<5)= e^(-0*2/15)- e^(-5*2/15)=1- e^(-2/3)= approx 0.49

7 0
2 years ago
What is the measure of ∠R ?
GarryVolchara [31]
You want to find R. From angle R, you know the side lengths for opposite and hypotenuse. According to SohCahToa, that is sine. Sin (x) = Opposite / Hypotenuse = 2.5 / 5 = 0.5
Sine(x)=.5. To get x by itself divide both by the inverse of sine.
3 0
2 years ago
Read 2 more answers
1000 coins are tossed find the probability of getting exactly 500 heads.
ipn [44]

Answer:

probability of getting exactly 500 heads= 1

Step-by-step explanation:

If a coin is tossed, the probability of obtaining a head = 0.5

If a coin is tossed, the probability of obtaining a tail= 1- probability of obtaining a head

If a coin is tossed, the probability of obtaining a tail=1-0.5

If a coin is tossed, the probability of obtaining a tail=0.5

So if 1000 coin are tossed, the probability of getting exay 500 heads which is already the half of 1000 is 1

5 0
3 years ago
7+8=x/3<br> how do i solve this
Archy [21]

Because this is addition, you must reverse the process by (maybe) doing x/3 and 8/1 or 7/1. Cross multiply the numerators and denominators.

7 0
3 years ago
Read 2 more answers
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