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2 years ago

Please help timed this time i actually added picture

Mathematics

1 answer:

mrs_skeptik [129]2 years ago

4 0

As x increases by 1 the value of f(x) doubles so we need 2^x
When x = 0 the value of f(x) = 3
The correct answer is f(x) = 3(2^x). [the top option]

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Which of the following functions is a direct variation?

ololo11 [35]

Since k is constant (the same for every point), we can find k when given any point by dividing the y-coordinate by the x-coordinate. For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3. Thus, the equation describing this direct variation is y = 3x.

5 0

3 years ago

The manager of a fleet of automobiles is testing two brands of radial tires and assigns one tire of each brand at random to the

Darya [45]

Answer:

Brand 1 Brand 2 Difference

37734 35202 2532

45299 41635 3664

36240 35500 740

32100 31950 150

37210 38015 −805

48360 47800 560

38200 37810 390

33500 33215 285

Sum of difference = 2532+ 3664+740+150 −805+ 560 +390 +285 = 7516

Mean = $d=\frac{7516}{8}$

Mean = $d=939.5$

a) d= 939.5

$\text{Sample Standard deviation, s} = \sqrt{\dfrac{(x-\bar{x})^2}{n-1}}$

$=\sqrt{\dfrac{(2532-939.5)^2+(3664-939.5)^2+(740-939.5)^2 ...+(285-939.5)^2}{8-1}}$

=1441.21

b)SD= 1441.21

c)Calculate a 99% two-sided confidence interval on the difference in mean life.

confidence level =99%

significance level =α= 0.01

Degree of freedom = n-1 = 8-1 =7

So, $t_{\frac{\alpha}{2}}=3.499$

Formula for confidence interval $= \left( \bar{X} \pm t_{\frac{\alpha}{2}} \times \frac{s}{\sqrt{n}} \right)$

Substitute the values

confidence interval $= 939.5 \pm 3.499 \times \frac{1441.21}{\sqrt{8}} \right)$

confidence interval $= 939.5 - 3.499 \times \frac{1441.21}{\sqrt{8}} \right)$ to $= 939.5 + 3.499 \times \frac{1441.21}{\sqrt{8}} \right)$

Confidence interval $−843.396\$ to $2722.396$

8 0

3 years ago

In a survey conducted by the marketing agency 11mark, 241 of 1000 adults 19 years of age or older confessed to bringing and usin

Ann [662]

Answer: kindly check explanation

Step-by-step explanation:

A) The sample is a fraction of the total population used in the study.

The sample is 1000 19 years of age or older U.S adult.

The population : all U.S adults aged 19 or older.

B.) Confession about bringing cell phone to the bathroom and it is a qualitative variable

C.) point estimate (p) :

Total number of sample = 1000

Number who confessed to bring cellphone = 241

p = 241/ 1000

= 241/1000 = 0.241

D.) The point estimate was deduced from the sample information and not the population. Random selection because selection is unbiased.

E.) 95% confidence interval (CI)

95% CI = (1 - 0.95) = 0.05

For a two-tailed test : 0.05 / 2 = 0.025

Z - score = 1.96

Error : (√[p(1 - p) / n])*z

1.96 * √0.241(1-0.241)/1000

1.96* √0.000182919

1.96 * 0.0135247

= 0.0265085

Boundary :

(0.241 - 0.0265085), (0.241 + 0.0265085)

(0.2144915, 0.2675085)

F) The sample can be said to be representative of the total population since the sampling was performed and participants were chosen at random.

7 0

3 years ago

A right triangular prism is shown. A right triangular prism is shown. The right triangles have sides with lengths 15 and 8. The

Strike441 [17]

Answer:

900 cubic units

Step-by-step explanation:

V= base area *height of prism

Area of base is 1/2*15*8 =60

V=60*15

V=900

3 0

3 years ago

Read 2 more answers

8. Misty created the number pattern below. 32, 28, 24, 20, ... If n represents a number in this pattern, which rule could be use

geniusboy [140]

Answer:

An = 32 - (4*(n-1))

Step-by-step explanation:

the starting term for this pattern is 32 (which you will need to include in the "rule")

you also know that the next term is the previous term - 4

so!

we can write this pattern as

An = 32 - (4*(n-1))

An = any number of term in the pattern

- ex). A2 = 28, A3 = 24, etc

n = the nth term

- the 3rd term = 24, the fourth term = 20, etc

4 0

3 years ago