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8090 [49]
3 years ago
6

If AD = 6x – 4 and AC = 4x – 3, find CD.

Mathematics
1 answer:
murzikaleks [220]3 years ago
8 0

Answer:

Since C is the mid point,

therefore, (6x - 4)/2 = 4x-3

=> 6x - 4 = 2X(4x-3) = 8x - 6

=> 6x - 8x = -6 + 4

=> -2x = -2

=> x = (-2)/(-2) = 1

Hence, CD = AC = 4x - 3 = 4X1 - 3 = 1

Step-by-step explanation:

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Zappos is an online retailer based in Nevada and employs 1,300 employees. One of their competitors, Amazon, would like to test t
Amanda [17]

Answer:

t=\frac{33.9-36}{\frac{4.1}{\sqrt{22}}}=-2.402    

df = n-1= 22-1=21

t_{\alpha/2}= -2.08

Since the calculated values is lower than the critical value we have enough evidence to reject the null hypothesis at the significance level of 2.5% and we can say that the true mean is lower than 36 years old

Step-by-step explanation:

Data given

\bar X=33.9 represent the sample mean

s=4.1 represent the sample standard deviation

n=22 sample size  

\mu_o =26 represent the value that we want to test

\alpha=0.025 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

System of hypothesis

We need to conduct a hypothesis in order to check if the true mean is less than 36 years old, the system of hypothesis would be:  

Null hypothesis:\mu \geq 36  

Alternative hypothesis:\mu < 36  

The statistic is given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

And replacing we got:

t=\frac{33.9-36}{\frac{4.1}{\sqrt{22}}}=-2.402    

Now we can calculate the critical value but first we need to find the degreed of freedom:

df = n-1= 22-1=21

So we need to find a critical value in the t distribution with df =21 who accumulates 0.025 of the area in the left and we got:

t_{\alpha/2}= -2.08

Since the calculated values is lower than the critical value we have enough evidence to reject the null hypothesis at the significance level of 2.5% and we can say that the true mean is lower than 36 years old

3 0
3 years ago
140 + (-122) + (-10), I also need it with work.
Aleks04 [339]

Answer:

8

Step-by-step explanation:

140-122=18

18-10=8

6 0
3 years ago
Read 2 more answers
Does anyone know how to solve this??
katen-ka-za [31]

Answer:

y = g(x) = 1 +  \sqrt{x}

4 0
3 years ago
Consider the function g(x) = sqrt(x + 4) - 6 which function has the same y-intercept as this function?
Inga [223]

Answer:

a)

f(x) = \frac{4}{x-8} - 3.5

Step-by-step explanation:

The y intercept of g(x) is the value of g when x = 0.

In this problem

g(x) = \sqrt{x+4} - 6

The y-intercept is

g(0) = \sqrt{0+4} = \sqrt{4} - 6 = 2 - 6 = -4

a)

f(x) = \frac{4}{x-8} - 3.5

The y-intercept is:

f(0) = \frac{4}{0-8} - 3.5 = -0.5 - 3.5 = -4

This is the correct answer

b)

f(x) = -\frac{4}{x} - 1

The y-intercept is

f(0) = -\frac{4}{0} - 1

This is an asymptote

c)

f(x) = 2|x+2|

The y-intercept is

f(0) = 2|0+2| = 4

d)

f(x) = |x - 4|

The y-intercept is

[tex]f(0) = |0-4| = |-4| = 4.

7 0
3 years ago
What's the slope equation to points 1, 8 and 0, 5
Firdavs [7]

Answer:

m= \frac{5-8}{0-1}

-3/-1

Step-by-step explanation:

7 0
3 years ago
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