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2 years ago

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]

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