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Feliz [49]
3 years ago
11

I wish I can give out more points but I'm lacking on points myself, so sorry! thank you for anyone who puts their time into help

ing me :-D (even answering one of the three questions are a big help for me!)

Mathematics
1 answer:
Lena [83]3 years ago
7 0
Well I'm still trying to solve the first question so I'll tell you the other answers
the answer for the second question is :
{4x}^{2}  + 20x
and for the third question :
\frac{7}{8}
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Can someone please help? i don’t know how to solve this.
Charra [1.4K]

Answer:

Hey there!

We have the absolute value of x is greater than two.

Thus, to solve absolute value inequalities, we want to break the inequality down.

We break this down to

x>2

x<-2

Thus, we don't need to simplify this any further, and have our answer.

Hope this helps :)

8 0
3 years ago
Read 2 more answers
I need the area of that rectangle
nexus9112 [7]

Answer:

21/40mm squared

Step-by-step explanation:

to find area you have to multiply length * width

7/8 * 3/5 = 21/40

Decimal form: 0.525

8 0
3 years ago
Read 2 more answers
You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard devia
gtnhenbr [62]

Answer:

n=(\frac{2.58(58.2)}{1})^2 =22546.82 \approx 22547

So the answer for this case would be n=22547 rounded up to the nearest integer

Step-by-step explanation:

Let's define some notation

\bar X represent the sample mean

\mu population mean (variable of interest)

\sigma=58.2 represent the population standard deviation

n represent the sample size  

ME =1 represent the margin of error desire

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =+1 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

The critical value for 99% of confidence interval now can be founded using the normal distribution. The significance would be \alpha=0.01 and the critical value z_{\alpha/2}=2.58, replacing into formula (b) we got:

n=(\frac{2.58(58.2)}{1})^2 =22546.82 \approx 22547

So the answer for this case would be n=22547 rounded up to the nearest integer

3 0
3 years ago
The right rectangular prism shown below is made of equal-sized cubes. The side length of each cube is 2 1/2 inches. What is the
mr_godi [17]

The image of the right rectangular prism is missing, so i have attached it.

Answer:

volume of the right rectangular prism = 625 in³

Step-by-step explanation:

The rectangular prism is made of equal-sized cubes. Thus, let's first find the volume of 1 cube.

Formula for volume of one cube is;

V = a³

where

a is the length of one side of the cube

We are told that this length is 2½ inches

Thus;

a = 2½ = 5/2 inches

>> V = (5/2)³

>> V = 125/8 in³

Now, in the rectangular prism attached, if we count the number of cubes we have, it is equal to 40 cubes

Therefore, the volume of the prism is;

Volume of one cube × 40

>> volume of the prism = (125/8) × 40

volume of the prism = 625 in³

6 0
3 years ago
F(x) = 5/(7x-8) What is the inverse of this function?
oee [108]
f(x)=\dfrac{5}{7x-8}\\\\y=\dfrac{5}{7x-8}\iff\dfrac{1}{y}=\dfrac{7x-8}{5}\ \ \ |multiply\ both\ sides\ by\ 5\\\\\dfrac{5}{y}=7x-8\ \ \ |add\ 8\ to\ both\ sides\\\\7x=\dfrac{5}{y}+8\\\\7x=\dfrac{5}{y}+\dfrac{8y}{y}\\\\7x=\dfrac{5+8y}{y}\ \ \ \ |divide\ both\ sides\ by\ 7\\\\x=\dfrac{5+8y}{7y}\\\\Answer:\boxed{f^{-1}(x)=\dfrac{5+8x}{7x}\ other\ form\ f^{-1}(x)=\dfrac{5}{7x}+\dfrac{8}{7}}
3 0
2 years ago
Read 2 more answers
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