Solve for y given the lines are parallel

Answer:

$4.911  million or  $6.481 million

Thus, we are 95% confident that the mean amount of all venture-capital investments in the high-tech industry is somewhere between $4.911 million and $6.481 million.

Step-by-step explanation:

Given that:

sample size n = 18

standard deviation σ = 1.70

confidence interval = 95%

Sample mean [tex]\overline x =\dfrac{ \sum x }{n}[/tex]

[tex]\overline x =\dfrac{ 102.52 }{18}[/tex]

[tex]\overline x =[/tex] 5.696

The level of significance = 1 - C.I

= 1 - 0.95

= 0.05

The critical value of [tex]Z_{\alpha/2} = Z_{0.025} = 1.960[/tex] from the Z tables

The 95% C.I for the mean is;

[tex]= \overline x \pm Z_{\alpha/2} \times \dfrac{\sigma}{\sqrt{n}}[/tex]

[tex]=5.696 \pm 1.960 \times \dfrac{1.70}{\sqrt{18}}[/tex]

[tex]=5.696 \pm 1.960 \times \dfrac{1.70}{4.243}[/tex]

[tex]=5.696 \pm 1.960 \times 0.4007[/tex]

= 5.696 ± 0.785372

= (5.696 - 0.785372 , 5.696 + 0.785372 )

= ( 4.910628 , 6.481372  )

≅ $4.911  million or  $6.481 million.

Thus, we are 95% confident that the mean amount of all venture-capital investments in the high-tech industry is somewhere between $4.911 million and $6.481 million.

Answer:

$450.24

Step-by-step explanation:

According to my quiz...

Answer:

4, 6, 8, 9, 10, 12, 14, 15, 16

Step-by-step explanation:

"The first few composite numbers (sometimes called "composites" for short) are 4, 6, 8, 9, 10, 12, 14, 15, 16, ... (OEIS A002808), whose prime decompositions are summarized in the following table. Note that the number 1 is a special case which is considered to be neither composite nor prime."

hope this helps :)

Answer:

d. y=5

Step-by-step explanation:

The equation of a line parallel to the x-axis will always be in the form y=b, where b is the y-intercept (where on the y-axis the line crosses). So, for y=5, the line crosses the y-axis when y is equal to 5.

The equation of a line parallel to the y-axis will always be in the form x=d, where d is the x-intercept (where on the x-axis the line crosses). So, for option a, x=5, it is a vertical line that crosses the x-axis when x is equal to 5. It is therefore not parallel to the x-axis.

Option b gives an equation that isn't for a linear relation entirely.

Linear equations are typically given in the form y=mx+b, where m is the slope of the line and b is, again, the y-intercept. Option c presents the equation of y=x, and this can be rewritten as y=1x+0. In other words, the slope of the line is 1 and it crosses the y axis when y is equal to 0. Lines that are parallel to the x-axis will always have a slope of 0, so therefore, this line is not parallel to the x-axis.

I hope this helps!

Answer:

148

Step-by-step explanation:

just searched it up good luck sorry if its wrong

Answer:

When raised to the power of 4, the binomial (4 + y) expands to:

[tex]y^4 + 16y^3 + 96y^2 + 256y + 256[/tex]

Step-by-step explanation:

[tex](4 + y)^4 \\= (y^2 + 8y + 16)^2\\= y^4 + 8y^3 + 16y^2 + 8y^3 + 64y^2 + 128y + 16y^2 + 128y + 256\\= y^4 + 16y^3 + 96y^2 + 256y + 256[/tex]

Given:

An airport limo service charges riders a fixed charge of $15 plus  $4.00 per mile.

To find:

Distance in miles must a rider go to have an  average cost per mile of $4.60.

Solution:

Let x be the number of miles the rider travel.

Total charges = Fixed charges + Variable charges

According to the question,

Fixed charges = $15

Variable charges = $4x

So,  total charges

[tex]T=15+4x[/tex]

Divide the total charges by number of miles to get the cost per mile.

[tex]\text{Cost per mile}=\dfrac{15+4x}{x}[/tex]

Average cost per mile is $4.60.

[tex]4.60=\dfrac{15+4x}{x}[/tex]

[tex]4.60x=15+4x[/tex]

[tex]4.60x-4x=15[/tex]

[tex]0.60x=15[/tex]

Divide both sides by 0.60.

[tex]x=\dfrac{15}{0.60}[/tex]

[tex]x=25[/tex]

Therefore, the required number of miles is 25.

Answer:

D number option is the correct answer

Answer:

A. if your answer is reasonable, you have probably done the problem correctly

Step-by-step explanation:

We are not given the radius of the circle or any other relevant data, so I assumed the radius of the circle r=5

Answer:

The y-coordinate of Q is 3

Step-by-step explanation:

Circles and Lines

The figure below shows a circle of radius r=5 and a segment that goes from the center of the circle to a point of the circumference, where x=4.

We can find the y-coordinate of that point by using Pithagora's theorem:

[tex]r^2=x^2+y^2[/tex]

Solving for y:

[tex]y^2=r^2-x^2[/tex]

[tex]y^2=5^2-4^2[/tex]

[tex]y^2=25-16=9[/tex]

[tex]y=\sqrt{9}=3[/tex]

The y-coordinate of Q is 3

Answer:

40

Step-by-step explanation

x=40 because if you time these in like this:

3(40)-10= 110

40+15=55

If you user 65 it'll be wrong because:

3(65)-10=185    

And the whole thing is only 180 :]

Step-by-step explanation:

b: multiplying a negative (-) by a negative (-)

Answer:

1.5 minutes to fill a whole bottle.

Step-by-step explanation:

1. Based on the given information, set up a proportion;

Given;

1/6 of a bottle was filled in 1/4 minute

Equation;

1/6 : 1/4

2. Solve the equation;

1/6 : 1/4

Multiply both sides by 6, to make it such that the whole bottle is filled,

1/6 : 1/4

*6     *6

1 : 6/4

Simplify

1 : 3/2

1.5 minutes to fill a whole bottle.

Answer:

The decision rule is  

Reject the null hypothesis  

Step-by-step explanation:

From the question we are told that

    The population mean is [tex]\mu = 5.6 \ pounds/inch^2[/tex]

     The  sample size is  n =  160

      The sample mean is  [tex]\= x = 5.7 \ pounds/ inch^2[/tex]

     The variance is [tex]\sigma ^2 = 0.25[/tex]

       The level of significance is  [tex]\alpha = 0.01[/tex]

The null hypothesis is  [tex]H_o : \mu = 5.6[/tex]

The alternative hypothesis is [tex]H_a : \mu > 5.6[/tex]

Generally the standard deviation is mathematically represented as

           [tex]\sigma = \sqrt{\sigma ^2 }[/tex]

=>         [tex]\sigma = \sqrt{0.25 }[/tex]  

=>         [tex]\sigma = 0.5[/tex]  

Generally the test statistics is mathematically represented as

        [tex]z = \frac{\= x - \mu }{ \frac{\sigma}{\sqrt{n} } }[/tex]

=>     [tex]z = \frac{5.7 - 5.6 }{ \frac{0.5 }{\sqrt{ 160 } } }[/tex]  

=>     [tex]z = 2.53[/tex]

From the z table  the area under the normal curve to the left corresponding to  2.53   is

        [tex]p-value = P(Z > 2.53 ) =0.0057[/tex]

From the value obtained we see that the [tex]p-value < \alpha[/tex] hence

The decision rule is  

Reject the null hypothesis  

The conclusion is  

There is sufficient evidence to conclude that the believe  that the valve performs above the specifications is true

Answer:

when doing questions like these you need to do pemdas and do it in order

Step-by-step explanation:

p- parenthesis

e- exponents

m- multipication

d- division

a- adding

s- subtracting

Answer:

A. $4

4/20 or 1/5

Step-by-step explanation:

Answer:

option A is the answer

Step-by-step explanation:

............

The top one is x-intercept, and the bottem one is y-intercept. Also the gray boxes are your answer

The graph of the x-intercept at x = -5 and y-intercept at y = -2 is given below.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

x-intercept = (-5, 0)

This means,

It is a vertical line at x = -5.

y-intercept = (0, -2)

This means,

It is a horizontal line at y = -2.

Thus,

The graph is given below.

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ2

Answer:

I dunno... I'm sorry I can't help

Step-by-step explanation:

Answer:

2z

Step-by-step explanation:

Answer:

Step-by-step explanation:

first 95 x 60 (60 because there is 60 minutes in an hour) then multiply that number by 10 then start ploting the numbers up for example it goes 57,000 then multiply that by 2 and keep ploting.

Answer:

2x-6=8

2x-6=8+6

2x=24

x=12

Answer:

108c so 2 dollar bills.

Step-by-step explanation:

Answer:

2 13/16

Step-by-step explanation:

1 15

16

+

7

8

=  (1 + 0) + (

15

16

+

7

8

)

=  1 +

15

16

+

7 × 2

8 × 2

=  1 +

15

16

+

14

16

=  1 +

15 + 14

16

=  1 +

29

16

=  1 +

1 13

16

=  

2 13

16

Answer:

40 times 9 equals 299

Step-by-step explanation:

Answer:

The y-intercept represents the amount of money raised by the carwash.

The graph has a y-intercept

Step-by-step explanation:

Most reasonable, and not only that it's true bc it's shown on the graph label. :)

Answer:

Width  = 166.7 ft

Length = 250 ft.

Step-by-step explanation:

From the diagram at the ATTACHMENT

Let us denote the the length of the rectangular area as "x" and

the width of the rectangular area as "y"

Since, cost of the fence on the western side is shared with a neighbor, we can say  it is $7 per foot. Otherwise, it is $14 per foot. The northern length is not fenced.

From the question, we know that the  cost is not to exceed $7000, therefore we can expressed it as

7y + 14x + 14y = 7000

14x + 21y = 7000

Divide through by 14, we have

(x + 1.5) = 500  ------------- eqn (*)            

But the area of the fenced

= A = (x×y)      -------------- eqn  (**)                    

Substitute (*) into (**) we have

A = (500 - 1.5y)*y

= 500y - 1.5y²

In other to maximize the Area, we can find the differential of A

A'(y) = 500 - 3y

At A'(y) = 0.

500-3y= 0

3y=500

y= 166.67 ft

From eqn(*)

(x+ 1.5) = 500

x = 500 - 1.5y

500-1.5(166.67)

= 250ft

Therefore, the dimensions for the plot that would enclose the most area are

Width  of 166.67 ft and Length = 250 ft.

Answer:

She has to work for 60hours in order to earn $720.

Step-by-step explanation:

Amount of money earned in 1hour=36÷3

                                                        =12$

Total time required=720÷12

                               =60hours

Answer:$31.36

Step-by-step explanation:

Answer:

Janet reads 13.865 pages in 4.7 minutes.

Step-by-step explanation:

Given that Janet can read 2.95 pages of a book in a minute.

As she reads for 4.7 minutes.

We just need to multiply 4.7 minutes with 2.95 to determine total pages she would read in 4.7 minutes.

i.e.

4.7 × 2.95 = 13.865 pages

Therefore, Janet reads 13.865 pages in 4.7 minutes.