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UkoKoshka [18]
3 years ago
12

Identify a possible first step using the elimination method to solve the system and then find the solution to the system. 3x + 2

y = 24 6x + 2y = 30 A) Multiply second equation by 2, solution (2, 9). B) Multiply first equation by -2, solution (2, 9). C) Multiply second equation by 2, solution (2, -9). Eliminate D) Multiply first equation by -2, solution (2, -9).
Mathematics
1 answer:
mrs_skeptik [129]3 years ago
8 0

A) Multiply second equation by 2, solution

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Daisy saved 4/5 of her salary. She gave 1/3 of the money she had saved to her mother. If she gave $300 to her mother, what was h
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A family plans to drive their car during their annual vacation. The car can go 340 miles on a tank of gas, which is 16 gallons o
MrMuchimi

Answer:

It would take 86.4 gallons of gas to go 1,836 miles.

Step-by-step explanation:

the situation can be explained by the equation 16x=340, where x is how many miles the car can go in one gallon. divide both sides by 16 to get that answer

x=340/16= 21.25

Now the other problem can be expressed by the equation 21.25y=1836, where y is the amount of gallons it would take to go 1,836 miles.

divide both sides by 21.25 to get the amount of gallons

y= 1836/ 21.25= 86.4.

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3 years ago
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The amounts a soft drink machine is designed to dispense for each drink are normally distributed, with a mean of 12.1 fluid ounc
Ludmilka [50]

Answer:

\mu = 12.1\\\sigma = 0.3

a) Find the probability that the drink is less than 11.9 fluid ounces

We are supposed to find P(x<11.9)

x= 11.9

We will use z score formula :

z=\frac{x-\mu}{\sigma}

z=\frac{11.9-12.1}{0.3}

z=-0.67

Refer the z table

So, P(z<-0.67) = 0.2514

Hence the probability that the drink is less than 11.9 fluid ounces is 0.2514

b)Find the probability that the drink is between 11.6 and 11.9 fluid ounces

x= 11.6

We will use z score formula :

z=\frac{x-\mu}{\sigma}

z=\frac{11.6-12.1}{0.3}

z=-1.67

x= 11.9

We will use z score formula :

z=\frac{x-\mu}{\sigma}

z=\frac{11.9-12.1}{0.3}

z=-0.67

We are supposed to find P(11.6<x<11.9)

So, P(11.6<x<11.9)= P(x<11.9)-P(x<11.6)

P(-1.67<z<-0.67)= P(z<-0.67)-P(z<-1.67)

Refer the z table

P(-1.67<z<-0.67)= P(z<-0.67)-P(z<-1.67)

P(-1.67<z<-0.67)= 0.2514-0.0475

P(-1.67<z<-0.67)= 0.2039

So, the probability that the drink is between 11.6 and 11.9 fluid ounces is 0.2039.

c)Find the probability that the drink is more than 12.6 fluid ounces

We are supposed to find P(x>12.6)

x= 12.6

We will use z score formula :

z=\frac{x-\mu}{\sigma}

z=\frac{12.6-12.1}{0.3}

z=1.67

Refer the z table

P(x>12.6)=1-P(x<12.6)

P(z>1.67)=1-P(z<1.67)

P(z>1.67)=1-0.9525

P(z>1.67)=0.0475

Hence  the probability that the drink is more than 12.6 fluid ounces is 0.0475

d) Is the drink containing more than 12.6 fluid ounces an unusual event?

Since p value is less than  alpha (0.05)

Answer = No, because the probability that a drink containing more than 12.6 fluid ounces is less than 0.05, this event is not unusual.

3 0
3 years ago
7.5 x 7.5 x (6.084−5.44)
Mars2501 [29]

Hello!

Answer:

36.225

Step-by-step explanation:

Hope this helps!

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7 1/3

I think this is it, i would like for u to get a second opinion.

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