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e-lub [12.9K]
3 years ago
13

Find the missing value for the exponential function represented by the table below.

Mathematics
1 answer:
Virty [35]3 years ago
3 0
The common ratio of sequential values is 
   18.2/26 = 0.7

The missing value is
   12.74*0.7 = 8.918

The appropriate choice is ...
   d.  8.918
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7) In the barn there are 17 animals. Some are cows and some are ducks. There are 54 legs in all. Which system of equations below
nata0808 [166]

Answer: Either A or B

Step-by-step explanation:

Both A and B are the same answers, but the main answer should be

c+d=17, 4c+2d =54

C represents the number of cows and D represents the number ducks. The two and fours in front of the variables represents the number of legs the repesctive animal has.

c+d would mean how many animals are in the barn. Feel free to clarify the two same answers

4 0
3 years ago
What is the distance between the points (−7, −3) and (−7, −9) ?
MrRa [10]

Answer:

6 units

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A sample of 47 observations is selected from a normal population. The sample mean is 30, and the population standard deviation i
erma4kov [3.2K]

Answer:

We accept the null hypothesis and reject  the alternate hypothesis. There is no evidence to conclude that the population mean is greater than 29. The population mean is less than or equal to 29.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 29

Sample mean, \bar{x} = 30

Sample size, n = 47

Alpha, α = 0.05

Population standard deviation, σ = 5

First, we design the null and the alternate hypothesis

H_{0}: \mu \leq 29\\H_A: \mu > 29

a) This is a one-tailed test because the alternate hypothesis is in greater than direction.

We use One-tailed z test to perform this hypothesis.

b) z_{stat} > z_{critical} , we reject the null hypothesis and accept the alternate hypothesis and if z_{stat} < z_{critical} , we accept the null hypothesis and reject  the alternate hypothesis.

c) Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{30 - 29}{\frac{5}{\sqrt{47}} } = 1.37

d) Now, z_{critical} \text{ at 0.05 level of significance } = 1.64

Since,  

z_{stat} < z_{critical}

We accept the null hypothesis and reject  the alternate hypothesis. There is no evidence to conclude that the population mean is greater than 29. The population mean is less than or equal to 29.

e) P-value is 0.0853

On the basis of p value we again accept the null hypothesis.

5 0
4 years ago
CD is perpendicular to AB and passes through point C5, 12).
Aleksandr-060686 [28]

Answer:

x intercept of CD = 17

Step-by-step explanation:

We are given a line AB with its end coordinates. and Another line segment CD which is perpendicular to AB. We have the coordinates of C , and we are asked to find the x intercept of line CD.

For that we need to find the equation of CD

we have coordinates of C , and hence if we have slope of CD we can find equation of CD

Slope of CD can be determine with the help of slope of AB as CD⊥ AB

So, the slope of CD mCD = -\frac{1}{mAB}

Hence we start from determining slope of AB

slope is given as

m= \frac{y_2-y_1}{x_2-x_1}

m= \frac{14-(-3)}{7-(-10)}=\frac{17}{17}=1

Hence mAB=1

There fore mCD=-1

(∵  Product of Slopes of two perpendicular lines is always -1)

Now we find the equation of CD with the help of slope -1 and coordinates of C(5,12)

m=\frac{y-y_1}{x-x_1}

-1=\frac{y-12}{x-5}

-x+5=y-12

y=-x+17

Hence we have our equation , now in order to find the x intercept we keep y = 0 in it and solve for x

0=-x+17

x=17

Hence the x intercept is 17

8 0
3 years ago
PLEASE HELP ME OUT...
e-lub [12.9K]

Answer:

y=-3

Step-by-step explanation:

there is no slope so x will not be used in the equation it also crosses at -3

3 0
3 years ago
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