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34kurt
3 years ago
10

Ashton bought 5 cans of olive oil. Each can had a radius of 3.2 inches and was 15 inches tall. Find the total cubic inches of ol

ive oil Ashton had.​
Mathematics
1 answer:
amid [387]3 years ago
5 0

Step-by-step explanation:

A can is a cylinder.

Volume of a can = Volume of Cylinder

= \pi {r}^{2} h

Given Radius = 3.2 inches and height = 15 inches,

Volume of one olive oil can =

\pi( {3.2}^{2} )(15) \\  = 153.6\pi {in}^{3}

Volume of 5 olive oil cans = 5 x volume of one olive can

= 5 \times 153.6\pi \\  = 768\pi {in}^{3}

I will just leave the answer in terms of pi as I'm not sure if you need to round off your answers.

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40 is 20% of 160, so if she saved 40$ and it was 20% off then the original price was 160$!!!
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Which of the following is the weight of the cargo in a truck if 1/3 of the weight is 516 Ibs?
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Answer:

1548 lb

Step-by-step explanation:

Let the truck's weight be w.

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3 years ago
HELP ASAP I WILL GIVE BRAINLIEST
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Answer:

x = 15

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The easiest way to solve this is to realise that a triangle takes up half the area of a rectangle of the same width and height.

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2 years ago
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

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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

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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

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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 :

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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

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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.

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