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2 years ago

Find the equation of the exponential function represented by the table below

Mathematics

1 answer:

Gennadij [26K]2 years ago

4 0

Answer:

y = 3^(1 + x)

Step-by-step explanation:

Notice that each time x increases by 1, y increases by a factor of 3.

Thus, the required equation has the form y = 3^x.

Check: If x = 0, do we get 3? No. Therefore we must modify the exponent:

y = 3^(1 + x)

Check: If x = 0, do we get 3? 3^(1 + 0) = 3 (correct)

If x = 2, do we get 27? 3(1 + 2) = 3^3 + 27 (correct)

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Use the null hypothesis H0 : μ = 98.6, alternative hypothesis Ha: μ < 98.6, and level of significance α = 0.05. 98 99.6 97.8

andrezito [222]

Answer:

The t-score is -1.8432

Step-by-step explanation:

We are given the following in the question:

98, 99.6, 97.8, 97.6, 98.7, 98.4, 98.9, 97.1, 99.2, 97.4, 99.1, 96.9, 98.8, 99.9, 96.8, 97, 98.7, 97.6, 98.7, 98.2

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{1964.4}{20} = 98.22$

Sum of squares of differences = 16.152

$s = \sqrt{\dfrac{16.152}{49}} = 0.922$

Population mean, μ = 98.6

Sample mean, $\bar{x}$ = 98.22

Sample size, n = 20

Sample standard deviation, s = 0.922

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 98.6\\H_A: \mu < 98.6$

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{98.22 - 98.6}{\frac{0.922}{\sqrt{20}} } = -1.8432$

The t-score is -1.8432

7 0

3 years ago

What is the value of of x,a,b and c?

dem82 [27]

Answer:

a= 98 b= 82 c= 98 is the answer .....

3 0

3 years ago

Angles A and B are congruent m∠A= (5x+2)° and m∠B= (3x+ 8)° find the measurement of the angle B

charle [14.2K]

5x+2=3x+8 subtract 2 from both sides 5x=3x +6 subtract 3x from both sides 2x=6 divide by 2 x=3 now plug 3 into angle b to give you 17 degrees

8 0

3 years ago

PLEASE HELP WITH THIS ONE QUESTION

Furkat [3]

Answer:

(x-1) (x-4) is the answer

6 0

2 years ago

Draw the image of △ABC under a dilation whose center is P and scale factor is 1/2

Vesna [10]

Answer:

Step-by-step explanation:

Let the point P is at the origin (0, 0).

Then the coordinates of A, B and C will be (8, 4), (-2, 2) and (4, -4) respectively.

Rule for the dilation of a point by a scale factor = k

(x, y) → (kx, ky)

If k = $\frac{1}{2}$

Then, A(8, 4) → A'(4, 2)

B(-2, 2) → B'(-1, 1)

C(4, -4) → C'(2, -2)

Now we can plot the new image with points A', B' and C'

3 0

3 years ago