Aurora wants to make a donation to a charity at the end of the year she starts by saving a small amount of money each week as shown in the graph

Answer:

Step-by-step explanation:

6x-1+3x+5x+3+4x+8+5x+5=360 degree(sum of exterior angle of a pentagon is 360 degree)

23x+15=360

23x=360-15

x=345/23

x=15

therefore the value of x is 15 degree.

Answer: yeah the other person is right

Step-by-step explanation:

Answer:

Null hypothesis rejected means that there is significant evidence to conclude that the team's mean rushing yards per game is less than 105 yards.

Step-by-step explanation:

The mean number of rushing yards for one NFL team was less than 105 yards per game.

At the null hypothesis, we test if the mean number of rushing yards for the team was the league's mean, which is close to 105 yards per game, that is:

[tex]H_0: \mu = 105[/tex].

At the alternate hypothesis, we test if there is significant evident to conclude that this team average is less than 105 yards per game, that is:

[tex]H_1: \mu < 105[/tex]

How should you interpret a decision that rejects the null hypothesis?

Null hypothesis rejected means that there is significant evidence to conclude that the team's mean rushing yards per game is less than 105 yards.

Answer:

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hope it helps...

have a great day!!

9514 1404 393

Answer:

  x = 2 1/3

Step-by-step explanation:

We can examine the equations to see where the solution lies.

f(x) = (2/3) -x

This has an x-intercept where y=0, at x=2/3. It has a y-intercept where x=0, at y=2/3. Its slope is -1.

h(x) = 3 -2x

This has an x-intercept where y=0, at x=3/2. It has a y-intercept where x=0, at y=3. Its slope is -2.

__

In the first quadrant, the graph of h(x) is farther from the origin and steeper than the graph of f(x). The lines must cross in the 4th quadrant at some value of x that is greater than 3/2. The fraction in the definition of f(x) suggests that the solution will be a multiple of 1/3.

The attached table shows a couple of guesses at values of x that would make f(x) = h(x). We find that x = 7/3 is the solution we're looking for.

_____

Additional comment

Repetitive function evaluations are done conveniently and with fewer errors by a calculator or spreadsheet that can work with tables of values. Here, we have used a graphing calculator. These tools are readily available for free on almost any phone, tablet, or desktop computer platform.

Answer:

Step-by-step explanation:

8

Answer:

3.26794919243

Step-by-step explanation:

Answer:

There is one solution

(2, 2)

Step-by-step explanation:

The solutions are where the line and curve intersect.

The isone point of intersection and therefor one solution (2, 2)

Answer:

answer is b.) one

Step-by-step explanation:

edge 2021

Answer:

25.13

C=2πr

C=2(3.14)4

Answer:

Kindly check explanation

Step-by-step explanation:

Given :

A.)

Vehicle speeds on highway (9 vehicles) 74, 82, 67, 73, 65, 41, 74, 49, 85

Ordered data :

41, 49, 65, 67, 73, 74, 74, 82, 85

Sample size, n = 9

Median = 1/2 * (n +1) th term

Median = 1/2 * 10 = 5th term

Median value = 73

Midrange = (Maximum + minimum) / 2

Midrange = (85 + 41) / 2 = 126 / 2 = 63

Geometric mean : √(x1*x2*.. xn)^1/n

Geometric Mean:

(41*49*65*67*73*74*74*82*85)^1/n

= 66.19

B.)

Sodium grams in canned soup (8 varieties)

X = 4.22, 3.60, 2.68, 2.75, 2.70, 4.17, 2.72, 4.29

Ordered data:

2.68, 2.70, 2.72, 2.75, 3.60, 4.17, 4.22, 4.29

Sample size, n = 8

Median = 1/2 * (n +1) th term

Median = 1/2 * 9 = 4.5th term

Median value = (2.75+ 3.6) / 2 = 3.175

Midrange = (Maximum + minimum) / 2

Midrange = (4.29 + 2.68) / 2 = 3.485

Geometric mean : √(x1*x2*.. xn)^1/n

Geometric Mean:

(2.68*2.70*2.72*2.75*3.60*4.17*4.22*4.29)^1/8

= 3.32

C.)

Campus health center visits (12 students)

X : 1, 5, 6, 13, 2, 3, 1, 3, 3, 1, 4, 3

Ordered data :

1, 1, 1, 2, 3, 3, 3, 3, 4, 5, 6, 13

Sample size, n = 12

Median = 1/2 * (n +1) th term

Median = 1/2 * 13 = 6.5th term

Median value = 3

Midrange = (Maximum + minimum) / 2

Midrange = (1 + 13) / 2 = 7

Geometric mean : √(x1*x2*.. xn)^1/n

Geometric Mean:

(1*1*1*2* 3*3*3*3*4* 5*6*13)^1/12

= 2.82

Answer:

Step-by-step explanation:

2

Answer:

Step-by-step explanation:

Look at the graph at the time given and determine how the line will continue based on its current trajectory;

A. T

B. S

C. 20 minutes

Answer:

see below

Step-by-step explanation:   5  30   9   50

This is what I think they are asking for....

the zeroes are x = 0  x = -4    x = 7 twice ??       so

             x(x+4)(x-7)² = 0

when I graphed the function it looked to be correct

Answer:

1st quartile: 2.6

2nd quartile or median: 3.1

3rd quartile: 3.25

Step-by-step explanation:

Answer:

1/4

this is fraction of time spent on English language...

Answer:

? = 27

Step-by-step explanation:

56 + ? + 11 = 94

? + 67 = 94

? = 27

Answer:

The 99% confidence interval for the mean number of ounces dispensed by this machine is (7.44, 7.56).

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.575\frac{0.25}{\sqrt{100}} = 0.06[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 7.5 - 0.06 = 7.44 ounces.

The upper end of the interval is the sample mean added to M. So it is 7.5 + 0.06 = 7.56 ounces.

The 99% confidence interval for the mean number of ounces dispensed by this machine is (7.44, 7.56).

Answer:

( − 5 ) ( 3 + 1 )

Step-by-step explanation:

Use the sum-product pattern: 3 2 − 1 4 − 5

3 2 + − 1 5 − 5

Common factor from the two pairs: 3 2 + − 1 5 − 5

( 3 + 1 ) − 5 ( 3 + 1 )

Rewrite in factored form

Answer:

Step-by-step explanation:

Standard form:

3x2 − 14x − 5 = 0

Factorization:

(x − 5)(3x + 1) = 0

Solutions based on factorization:

x − 5 = 0   ⇒   x1 = 5

3x + 1 = 0   ⇒   x2 = −1

3

≈ −0.333333

Extrema:

Min = (2.333333, −21.333333)

Answer:

(3 x + 1 ) ( x − 5 )

Answer:

20/500 and 25/625

Step-by-step explanation:

1. 20 of 500 failed, which is 20/500

2. 25 of 625 failed, which is 25/625

Answer:

its d

Step-by-step explanation:

i did the test

Answer:

∆ RPQ

Step-by-step explanation:

__________________

Answer:

B. 1,1,2,3,5,8,13,21

Step-by-step explanation:

I calculated it logically

Answer:

14x

Step-by-step explanation:

14x = 14 x (x) = 14(x)

Answer:

first is 52°C

Step-by-step explanation:

Answer:

the graph is going to be facing up not down

Answer:

It should be c

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The answer is A

Very few circles are congruent. Certainly if a circle has a radius of 8 and another one 2 city blocks away also has a radius of 8, both are congruent.  But if one of them has a radius of 4 and the other a radius of 10, they are not congruent.

A does not have to be true.

Answer:

E. C= 80+ 12n

Step-by-step explanation:

____________

Answer:

The total amount of pollution discharged during the first 7 years of operation is 1.955 tons

Step-by-step explanation:

Given

[tex]r(t) = \frac{t}{t^2 + 1}[/tex]

Required

The total amount in the first 7 years

This implies that:

[tex]r(t) = \frac{t}{t^2 + 1}; [0,7][/tex]

The total amount is calculated by integrating r(t) i.e.

[tex]v = \int\limits^a_b {r(t)} \, dt[/tex]

So:

[tex]v = \int\limits^7_0 {\frac{t}{t^2 + 1}} \, dt[/tex]

--------------------------------------------------------------

We have:

[tex]t^2 + 1[/tex]

Differentiate

[tex]d(t^2 + 1) = 2t[/tex]

Rewrite as:

[tex]2t = d(t^2 + 1)[/tex]

Solve for t

[tex]t = \frac{1}{2}d(t^2 + 1)[/tex]

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So:

Make t the subject

[tex]v = \int\limits^7_0 {\frac{t}{t^2 + 1}} \, dt[/tex]

[tex]v = \int\limits^7_0\frac{1}{2}* {\frac{d(t^2 + 1)}{t^2 + 1}} \, dt[/tex]

[tex]v = \frac{1}{2}\int\limits^7_0 {\frac{d(t^2 + 1)}{t^2 + 1}} \, dt[/tex]

Integrate

[tex]v = \frac{1}{2}\ln(t^2 +1)|\limits^7_0[/tex]

Expand

[tex]v = \frac{1}{2}[\ln(7^2 +1) - \ln(0^2 +1)][/tex]

[tex]v = \frac{1}{2}[\ln(50) - \ln(1)][/tex]

[tex]v = \frac{1}{2}[3.91 - 0][/tex]

[tex]v = \frac{1}{2}[3.91][/tex]

[tex]v = 1.955[/tex]

Answer:

Step-by-step explanation:

slope=y2-y1/x2-x1

here x1=2 , y1=-4 , x2=-6 , y2=1

=1-(-4)/2-(-6)

=1+4/2+6

=5/8

-5/8  fraction shows a correct way to set up the slope formula for the line containing (2, -4) and (-6, 1)

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

the slope formula for the line containing (2, -4) and (-6, 1) we calculate by plugging the values to the slope formula.

m=1-(-4)/-6-2

m=1+4/-8

m=-5/8

Hence, -5/8  fraction shows a correct way to set up the slope formula for the line containing (2, -4) and (-6, 1)

To learn more on slope of line click:

https://brainly.com/question/14511992

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