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Cerrena [4.2K]
2 years ago
14

Evaluate g(x)=3x when x=−2,0, and 5. g(−2)= g(0)= g(5)=

Mathematics
1 answer:
Snezhnost [94]2 years ago
4 0

Answer:

g(-2)= -6, g(0)=0, g(5)=15

Step-by-step explanation:

Plug in each value of x into the function g(x) aka 3(x).

Multiply by three.

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Help with this question please!
vova2212 [387]

<em>V = 120 in^3</em>

<u><em>Here is why:</em></u>

The volume formula for a pyramid is:

V=\frac{1}{3}Bh

The B stands for the area of the base, which in this case is a right triangle. We will find the area of the right triangle first, then plug it into the equation.

The area formula for a triangle is:

A=\frac{1}{2}bh

Plug in the numbers.

A=\frac{1}{2}*9*10

A = 45

Now we have found the area of B, we can plug it into the volume formula for the pyramid.

V=\frac{1}{3}*45*8

V = 120 in^3

7 0
3 years ago
Carmen is simplifying the expression (6. 21 0. 93) 0. 7. She recognizes that 0. 93 and 0. 07 will combine to equal 1, so she wou
Stells [14]

To solve the problem w must know about the Associative property.

<h2>Associative property</h2>

The associative property states that the addition of the sum of two numbers (a,b) and a third number(c) is equal to the addition of the sun of the last two numbers(b, c) and the first number(a).

  • A+(B+C) = (A+B)+C

The property that will allow Carmen to do this without changing the value of the expression is the Associative property.

<h2>Explanation</h2>

Given to us

  • (6.21 + 0.93 ) + 0.07

<h3>Associative property.</h3>

Now, using Associative property,

(6.21 + 0.93 ) + 0.07

= 6.21 + (0.93 + 0.07)

=6.21 + (0.93 + 0.07)

Hence, the property that will allow Carmen to do this without changing the value of the expression is the Associative property.

Learn more about Associative property:

brainly.com/question/1680548

3 0
2 years ago
If Upper X overbar equals 62​, Upper S equals 8​, and n equals 36​, and assuming that the population is normally​ distributed, c
marishachu [46]

Answer:

The 99% confidence interval would be given by (58.373;65.627)    

We are 99% confident that the true mean for the variable of interest is between 58.373 and 65.627.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=62 represent the sample mean

\mu population mean (variable of interest)

s=8 represent the sample standard deviation

n=36 represent the sample size  

Part a: Confidence interval

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=36-1=35

Since the Confidence is 0.99 or 99%, the value of \alpha=0.01 and \alpha/2 =0.005, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,35)".And we see that t_{\alpha/2}=2.72

Now we have everything in order to replace into formula (1):

62-2.72\frac{8}{\sqrt{36}}=58.373    

62+2.72\frac{8}{\sqrt{36}}=65.627    

So on this case the 99% confidence interval would be given by (58.373;65.627)    

We are 99% confident that the true mean for the variable of interest is between 58.373 and 65.627.

3 0
3 years ago
What is $20.00 less than 2.5 times the price of $64.80
KatRina [158]
To figure this out youll have to multiply 64.80 by 2.5 first then youll get 162 after to figure out the answer you subtract 20 from that amount and get 142
7 0
3 years ago
Factor (x^2-9) (x^2-16)
MrRissso [65]

Answer:

( x - 3 )( x + 3 ) ( x - 4 )( x + 4)

Step-by-step explanation:

( x^2 - 9 ) ( x^2 - 16 )

( x - 3 )( x + 3 ) ( x - 4 )( x + 4)

Hopefully this helps!

Brainliest please?

3 0
2 years ago
Read 2 more answers
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