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stiv31 [10]
3 years ago
13

Can I get a little help on this problem?

Mathematics
1 answer:
andrey2020 [161]3 years ago
5 0

Hello from MrBillDoesMath!

Answer:

12/55

Discussion:

Start by simplifying the numerator:

( 3/(5b) - 2/(5b)) /  ( 1/(4b) + 2/(3b) )  =        => as 3/(5b)- 2/(5b) = 1/(5b)

(1/(5b) / (1/(4b) + 2/(3b) )    =                        => multiply num., denom. by "b"

(b * 1/(5b)) / ( b/(4b) +2b/(3b)) =                  => as b/b = 1

(1/5) / (1/4 + 2/3) =                                       => 1/4 = 3/12; 2/3 = 8/12

(1/5)/ ( 3/12 + 8/12) =

(1/5)/ ( 11/12) =                                              => 1/ (11/12) = 12/11

(1/5) 12/11 =

12/55

Thank you,

MrB

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A random sample of 130 students is chosen from a population of 4,500 students. The mean IQ in the sample is 120, with a standard
barxatty [35]

Answer:

120-2.614\frac{5}{\sqrt{130}}=118.85    

120+2.614\frac{5}{\sqrt{130}}=121.15    

Step-by-step explanation:

Information given

\bar X= 120 represent the sample mean

\mu population mean (variable of interest)

s=5 represent the sample standard deviation

n=130 represent the sample size  

For this case we can't set a margin of error just with a % since they not specify 1.13% respect to something for this case we can omit this value

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)

The degrees of freedom are given by:

df=n-1=130-1=129

The Confidence level is 0.99 or 99%, the significance would be \alpha=0.01 and \alpha/2 =0.005, and the critical value would be t_{\alpha/2}=2.614

And replacing we got:

120-2.614\frac{5}{\sqrt{130}}=118.85    

120+2.614\frac{5}{\sqrt{130}}=121.15    

3 0
3 years ago
Which of the following represents an equation of a line that has an x-intercept of 8 and a y-intercept of 2?
Julli [10]

Correct answer A) x+4y=8  ,  represents an equation of a line that has an x-intercept of 8 and a y-intercept of 2 .

<u>Step-by-step explanation:</u>

Here we have to identify Which of the following represents an equation of a line that has an x-intercept of 8 and a y-intercept of 2 .Let's find out:

A) x+4y=8

Let's check if line has an x-intercept of 8 i.e. at y=0 value of x is 8 :

⇒ x+4y=8

⇒ x+4(0)=8

⇒ x=8

Let's  check if line has an y-intercept of 2 i.e. at x=0 value of y is 2 :

⇒ x+4y=8

⇒ 0+4(y)=8

⇒ y=2

Hence , Correct option!

B) x=(-.25y+2)

Let's check if line has an x-intercept of 8 i.e. at y=0 value of x is 8 :

⇒ x=(-.25y+2)

⇒ x=(-.25(0)+2)

⇒ x=2

Incorrect option!

C) 4x+y=2

Let's check if line has an x-intercept of 8 i.e. at y=0 value of x is 8 :

⇒ 4x+y=2

⇒ 4x+0=2

⇒ x=\frac{1}{2}

Incorrect option!

D) y=-4x+8

Let's check if line has an x-intercept of 8 i.e. at y=0 value of x is 8 :

⇒ y=-4x+8

⇒ 0=-4x+8

⇒ x=2

Incorrect option!

8 0
3 years ago
Read 2 more answers
What is the surface area of the rectangular prism?<br> 480mm<br> 427mm<br> 213.5mm<br> 255mm
elena-14-01-66 [18.8K]

The surface area of the rectangular prism is 427 mm². The correct option is the second option 427 mm²

<h3>Calculating surface area</h3>

From the question, we are to calculate the surface area of the rectangular prism

Surface area of a rectangular prism can be calculated by using the formula,

Surface area = 2(lw + lh + wh)

Where l is the length

w is the width

and h is the height

In the given diagram,

l = 21.5 mm

w = 4 mm

h = 5 mm

Putting the parameters into the equation, we get

Surface area = 2(21.5×4 + 21.5×5 + 4×5)

Surface area = 2(86 + 107.5 + 20)

Surface area = 2 × 213.5

Surface area = 427 mm²

Hence, the surface area of the rectangular prism is 427 mm². The correct option is the second option 427 mm²

Learn more on Surface area here: brainly.com/question/1310421

#SPJ1

7 0
2 years ago
What binomial do you have to add to the polynomial:
marshall27 [118]

Answer:

a)  -2x^2+5xy

b)  -3y^2+5xy

Step-by-step explanation:

<u>Part (a)</u>

Given polynomial  :2x^2+3y^2-5xy+1

The binomial that should be added to the given polynomial to get a polynomial that does not contain the variable x is:

-2x^2+5xy

(2x^2+3y^2-5xy+1)+(-2x^2+5xy)

=2x^2+3y^2-5xy+1-2x^2+5xy

=2x^2-2x^2+3y^2-5xy+5xy+1

=3y^2+1

<u>Part (b)</u>

Given polynomial  :2x^2+3y^2-5xy+1

The binomial that should be added to the given polynomial to get a polynomial that does not contain the variable y is:

-3y^2+5xy

(2x^2+3y^2-5xy+1)+(-3y^2+5xy)

=2x^2+3y^2-5xy+1-3y^2+5xy

=2x^2+3y^2-3y^2-5xy+5xy+1

=2x^2+1

7 0
2 years ago
The circle shown below has a diameter of 18 centimeters. What is the area of the shaded sector?
N76 [4]
Area of circle = Pi x r*2

If diameter is 18, radius is 9.

Area = pi (3.14) x r*2 (9*2 = 81) .. 3.14 x 81 = 254.34 sq cen = total area of circle.

A circle is 360 degrees, the shaded area is 270 degrees. the shaded area is 3/4 (270/360) of the area of the circle.

254.34 x 3/4 = 190.755 sq cen

Hope this helps
7 0
3 years ago
Read 2 more answers
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