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34kurt
3 years ago
8

The surface area of a cube is 1,350 m2. Find the volume of the cube.​

Mathematics
1 answer:
lilavasa [31]3 years ago
3 0

Answer:

3375

Step-by-step explanation:

The surface area formula for a cube is:

A = 6 a^2

We know what the area is so plug it into the equation:

1350 = 6 a^2

225 = a^2

a = 15

Now plug a = 15 into the equation for volume of a cube:

V = a^3

V = 15^3

V = 3375

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Short Answer<br> 1. What is the domain and range for the parent function of g(x) = x+1?
konstantin123 [22]

Answer:

Domain= {XER}   Range= {YER}

Step-by-step explanation:

This is a line equation. Lines continue infinitely in both the horizontal direction and vertical direction, so that means that the domain and range are both a set of all real numbers.

8 0
3 years ago
When Arjun makes hot cocoa, he adds 20\text{ mL}20 mL20, start text, space, m, L, end text of chocolate syrup for every 333 ounc
loris [4]

Answer:

<h3>45mL hot cocoa is more chocolatey</h3>

Step-by-step explanation:

When Arjun makes hot cocoa, if he add 20mL of chocolate syrup to 3ounces of water, let us know the equivalent chocolate in one ounces of water.

20mL = 3 ounces

x = 1 ounce

cross multiply

3x = 20

x = 20/3

x = 6.67 mL

This means he must have add 6.67mL of chocolate to 1 ounce of water.

Similarly, if 45mL is added to every 6 ounces

45mL = 6ounces

x = 1 ounce

cross multiply

6x = 45

x = 45/6

x =  7.5mL

This means he must have add 7.5mL of chocolate to 1 ounce of water.

The hot cocoa that is more chocolatey is the one with the highest amount of chocolate in 1 ounce. That is 45mL hot cocoa

7 0
2 years ago
6. A bank auditor claims that credit card balances are normally distributed, with a mean of $3570
sergejj [24]

Answer:

Probability that their mean credit card  balance is less than $2500 is 0.0073.

Step-by-step explanation:

We are given that a bank auditor claims that credit card balances are normally distributed, with a mean of $3570  and a standard deviation of $980.

You randomly select 5 credit card holders.

Let<em> </em>\bar X<em> = </em><u><em>sample mean credit card balance</em></u>

The z score probability distribution for sample mean is given by;

                                Z =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \mu = population mean credit card balance = $3570

            \sigma = standard deviation = $980

            n = sample of credit card holders = 5

Now, the probability that their mean credit card  balance is less than $2500 is given by = P(\bar X<em> </em>< $2500)

    P(\bar X<em> </em>< $2500) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } < \frac{2500-3570}{\frac{980}{\sqrt{5} } } ) = P(Z < -2.44) = 1 - P(Z \leq 2.44)

                                                               = 1 - 0.9927 = 0.0073

The above probability is calculated by looking at the value of x = 2.44 in the z table which has an area of 0.9927.

Therefore, probability that their mean credit card  balance is less than $2500 is 0.0073.

4 0
2 years ago
Robert usually earns $95 per week for
Ghella [55]

The amount of money Robert has this week after buying gas is $172.

<h3>Define arithmetic.</h3>

Mathematical arithmetic is the study of the properties of the standard operations on numbers, such as addition, subtraction, multiplication, division, exponentiation, and root extraction. The area of mathematics known as arithmetic deals with the study of numbers and the numerous operations that can be performed on them. Addition, subtraction, multiplication, and division are the fundamental mathematical operations. The symbols shown above stand in for these procedures.

Given Data

Robert usually earns $95 per week for mowing lawns.

Amount = $95

This week, he doubled his normal earnings,

Amount = $95 × 2

Amount = 190

but, spent $18 on gas for his lawnmower.

Amount = $190 - $18

Amount = $172

The amount of money Robert has this week after buying gas is $172.

To learn more about arithmetic, visit:

brainly.com/question/11559160

#SPJ13

4 0
1 year ago
Pls help i dont know how to do this​
Vlad [161]
2/5 and then when you graph it’s rise 2 and over 5
6 0
3 years ago
Read 2 more answers
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