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What is the input value for the following function if the output value is nine? Y=x+8.
Image above

Answer:

(8.734 ≤ μd ≤ 10.026)

Step-by-step explanation:

Given the data:

Car Rear Front

1 41.6 32.6

2 35.8 26.7

3 46.4 37.9

4 46.2 36.9

5 38.8 29.9

6 51.8 42.3

7 51.2 42.5

8 44.1 33.9

9 47.3 36.1

Difference, d :

9, 9.1, 8.5, 9.3, 8.9, 9.5, 8.7, 10.2, 11.2

Mean difference, μd = Σd / n = 84.4 / 9 = 9.38

Standard deviation of difference, Sd = 0.84 (calculator)

The confidence interval :

μd ± margin of error

Margin of Error = Tcritical * Sd/√n

TCritical at 95%, df = 9-1 = 8

Tcritical = 2.306

Margin of Error = 2.306 * (0.84/√9) = 2.306*(0.84/3) = 0.64568

Lower boundary = 9.38 - 0.64568 = 8.73432

Upper boundary = 9.38 + 0.64568 = 10.02568

(8.734 ; 10.026)

Answer:

It would take 16 years and 64 days until the investment reaches about $ 17323

Step-by-step explanation:

Given that an investment of $ 8500 increases in value by 4.5% every year, to determine how long it would take until the investment reaches about $ 17323, the following calculation must be performed:

8,500 x (1 + 0.045 / 1) ^ X = 17,323

8,500 x 1,045 ^ X = 17,323

1,045 ^ X = 17,323 / 8,500

1.045 ^ X = 2.038

1,045 ^ 16,175 = 2,038

X = 16.175

1 = 365

0.175 = X

0.175 x 365 = X

63.875 = X

Therefore, it would take 16 years and 64 days until the investment reaches about $ 17323

Answer:

P (x≥ 57) = 6.7789 e^-8

Step-by-step explanation:

Here n= 100

p = 31/100 = 0.31

We formulate the null hypothesis that H0: p= 0.31 against the claim Ha: p≠0.31

The significance level is chosen to be ∝= 0.05

The test statistic x to be used is X, the number  U.S. residents is to be taken which is at least 57

The binomial calculator gives the

P (x≥ 57) = 6.7789 e^-8

IF ∝= 0.05 then ∝/2 = 0.025

We observe that P (x≥ 57) is less than 0.025

Hence we reject H0 and conclude that p ≠0.31

This is true because for normal distribution the median = mean which is usually the 50 % of the data.

Answer:

i thinck its just 1 and 2

Step-by-step explanation:

Answer:

5 students would be expecting to select a gold-wrapped candy from the bag.

Step-by-step explanation:

Since Mrs. Nickel puts a variety of wrapped chocolate candies in a bag, and there are 5 silver-wrapped candies, 1 purple-wrapped candy, 2 striped candies, and 4 gold-wrapped candies, if 15 students select one candy at a time out of the bag, without looking, and replace the candy after each draw, to determine how many students would be expecting to select a gold-wrapped candy from the bag, the following calculation must be performed:

5 + 1 + 2 + 4 = 12

4 gold-wrapped candies out of 12 in total

4/12

15 x 4/12 = X

15 x 0.333 = X

5 = X

Therefore, 5 students would be expecting to select a gold-wrapped candy from the bag.

Answer:

Vertex: (1/2, 9/2)

the axis of symmetry: 1/2

x-intercept(s): (2,0) , (-1,0)

y-intercept: (0,4)

Step-by-step explanation:

you can search up math.way to solve math problems hope this helped!

     (no dot between it ^) have a good day

Answer: 18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

The graph shows 180 pages on it, and if you go over and down then it shows chapter 18.

Answer:

By taking the height as x most probably

Step-by-step explanation:

The surface area of the sphere is 113 square cm

The radius is given as:

r = 3 cm

The surface area is calculated as:

[tex]A = 4\pi r^2[/tex]

So, we have:

[tex]A = 4\pi * 3^2[/tex]

Evaluate the product

A = 113

Hence, the surface area of the sphere is 113 square cm

Read more about surface area at:

https://brainly.com/question/2835293

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Answer: 113

Step-by-step explanation: SA formula is = 4*pi*r^2, input our own values into that, and we get 4*3.14*5^2 = 113.04, round down, and you get 113

Answer:

7635

Step-by-step explanation:

350(.2+21.5)+40=7635

Answer:

7525

Step-by-step explanation:

you have to multiply

Answer:

3.1 0.6912 = 69.12% probability that one or two out of the next four customers will make a purchase.

3.2 0.9744 = 97.44% probability that at least one out of the next four customers do not make a purchase

Step-by-step explanation:

For each customer, there are only two possible outcomes. Either they make a purchase, or they do not. The probability of a customer making a purchase is independent of any other customer. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

40% of all customers walking into their store will buy at least one item on that occasion.

This means that [tex]p = 0.4[/tex]

4 customers:

This means that [tex]n = 4[/tex]

3.1 What is the probability that one or two out of the next four customers will make a purchase?

This is:

[tex]P(1 \leq X \leq 2) = P(X = 1) + P(X = 2)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 1) = C_{4,1}.(0.4)^{1}.(0.6)^{3} = 0.3456[/tex]

[tex]P(X = 2) = C_{4,2}.(0.4)^{2}.(0.6)^{2} = 0.3456[/tex]

So

[tex]P(1 \leq X \leq 2) = P(X = 1) + P(X = 2) = 0.3456 + 0.3456 = 0.6912[/tex]

0.6912 = 69.12% probability that one or two out of the next four customers will make a purchase.

3.2. What is the probability that at least one out of the next four customers do not make a purchase?​

This is:

[tex]P(X \leq 4) = 1 - P(X = 4)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{4,4}.(0.4)^{4}.(0.6)^{0} = 0.0256[/tex]

[tex]P(X \leq 4) = 1 - P(X = 4) = 1 - 0.0256 = 0.9744[/tex]

0.9744 = 97.44% probability that at least one out of the next four customers do not make a purchase

Answer:

[tex](c)\ \tan B = \sin A[/tex]

Step-by-step explanation:

Given

[tex]\angle A + \angle B = 90[/tex] --- Complement angles

See attachment for complete question

Required

Which is not always true

To do this, we simply test each option

[tex](a)\ \sin A = \cos B[/tex]

The above is always true, if A and B are complements.

Examples are:

[tex]\sin(40) = \cos(50)[/tex]

[tex]\sin(90) = \cos(0)[/tex]

etc

[tex](b)\ \sec A = \csc B[/tex]

The above is always true, if A and B are complements.

The expression can be further simplified as:

[tex]\frac{1}{\cos A} = \frac{1}{\sin B}[/tex]

Cross Multiply

[tex]\sin B = \cos A[/tex]

This is literally the same as (a)

[tex](c)\ \tan B = \sin A[/tex]

The above is not always true, if A and B are complements.

The expression can be further simplified as:

[tex]\frac{\sin B}{\cos B} = \sin A[/tex]

Cross multiply

[tex]\sin B = \sin A * \cos B[/tex]

If A and B are complements. then

[tex]\sin A = \cos B[/tex]

So, we have:

[tex]\sin B = \sin A * \sin A[/tex]

[tex]\sin B = \sin^2 A[/tex]

The above expression is not true, for values of A and B

[tex](d) \cot B = \tan A[/tex]

The above is always true, if A and B are complements.

An example is:

[tex]\cot (55) = \tan (25) = 0.7002[/tex]

etc.

Answer:

The answer to the question is C

Center:  ( 6 , 8 )

Radius: 5

Answer:

[tex] x^2 +y^2 = 25 [/tex]

Step-by-step explanation:

Center of the required circle = (0, 0)

Center of the given circle = (6, 8)

Radius of the given circle = 5 units

Distance between the centers of both the circles

[tex] =\sqrt{(6-0)^2 +(8-0)^2} [/tex]

[tex] =\sqrt{(6)^2 +(8)^2} [/tex]

[tex] =\sqrt{36 +64} [/tex]

[tex] =\sqrt{100} [/tex]

[tex] =10\: units [/tex]

Since, required circle is tangent to the given circle with radius 5 units.

Therefore,

Radius of required circle = 10 - 5 = 5 units

Now, Equation of required circle can be obtained as:

[tex] (x - 0)^2 +(y - 0)^2 = 5^2 [/tex]

[tex] (x)^2 +(y)^2 = 25 [/tex]

[tex] x^2 +y^2 = 25 [/tex]

Answer:

The 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

A store randomly samples 603 shoppers over the course of a year and finds that 142 of them made their visit because of a coupon they'd received in the mail.

This means that [tex]n = 603, \pi = \frac{142}{603} = 0.2355[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 - 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2016[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 + 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2694[/tex]

The 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694).

Answer:

true

Step-by-step explanation:

because 25+11 = 36

______

Answer:

12 cubic centimeters

Step-by-step explanation:

The Decreased amount of  £2123 by 8% is approximately; £1953.16

We want to decrease £2123 by 8%.

We can do this by the following formula;

Decreased amount = 2123 * (100% - 8%)

Decreased amount = 2123 * 92%

Decreased amount = £1953.16

Read more about percentage decrease in value at; https://brainly.com/question/11360390

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Answer:

0,-1, -7-2 is the correct answer

Answer:

The answer is 2.21

Step-by-step explanation:

Answer:

2.21

Step-by-step explanation:

13(.17)

Answer:

A) [tex]f(t) = 2 - \frac{8}{5}\cdot t[/tex], B) [tex]f(-5) = 10[/tex], C) [tex]t = -15[/tex] for [tex]f(t) = 26[/tex]

Step-by-step explanation:

A) Let be [tex]f(t) = r[/tex] and [tex]5\cdot r + 8\cdot t = 10[/tex], the latter expression is a function in implicit form and we need to turn it into its explicit form, where [tex]t[/tex] is the independent variable.

[tex]5\cdot r = 10 - 8\cdot t[/tex]

[tex]r = 2 -\frac{8}{5}\cdot t[/tex]

[tex]f(t) = 2 - \frac{8}{5}\cdot t[/tex]

B) If we know that [tex]t = -5[/tex]. then [tex]f(-5)[/tex] is:

[tex]f(-5) = 2 - \frac{8}{5}\cdot (-5)[/tex]

[tex]f(-5) = 10[/tex]

C) If we know that [tex]f(t) = 26[/tex], then we solve for [tex]t[/tex]:

[tex]2 - \frac{8}{5}\cdot t = 26[/tex]

[tex]\frac{8}{5}\cdot t = -24[/tex]

[tex]t = -15[/tex]

Answer:

v = 3

Step-by-step explanation:

You can start by distributing -2:

-2v - 2 = 3v -17

Next, add 2v to both sides to combine the v terms:

-2v - 2 = 3v - 17

+2v        +2v

-2 = 5v - 17

To isolate the v term, we add 17 to both sides:

-2 = 5v - 17

+17       +17

15 = 5v

Lastly, divide by 5 to get v:

15 = 5v

÷ 5    ÷5

3 = v --> v = 3

Answer:

p(g) (85 if  3g)

p(g) (135 if 3g)

p(g) (195 if 6g)

lets move p fwd so that 3+3+2 = 8

8 games = 3(85) + 3(135) + 2(195)

               =  255 + 405 + 390

               =  1050 yards

Statement would be something like > more than 1000 or designed around a division as proof to prove average or mean per game  = 1050/8 = 131.25 mean or even the range  405-255 = 150 range whilst the median would be 135

Last question asks '' How many games has James played when he has scored 85 yards? '' The answer would be 1 game can be shown as g or 1g.

Let me know what the statement choices are and I'd be happy to help.

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

My brain is too big

Answer:

2/3

Step-by-step explanation:

Answer:

here in the pic

Step-by-step explanation:

Answer:

It's c

Step-by-step explanation:

[tex] \sqrt{ {15}^{2} + {8}^{2} } = 17 \\ \sin(x) = \frac{8}{17} \\ \cos(x) = \frac{15}{17} [/tex]

Answer:

C

Step-by-step explanation:

gghiruufkfhfjttyyyyyy

Answer:

the answer is (y-1) (y-5)