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Finger [1]
3 years ago
9

Solve for x -6x+14< -28 or 9x+15≤−12

Mathematics
1 answer:
Free_Kalibri [48]3 years ago
8 0

- 3 \geqslant x > 6

Step-by-step explanation:

....

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12. If a manufacturer conducted a survey among randomly selected target market households and wanted to be 95% confident that th
atroni [7]

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11  

And rounded up we have that n=1068

Step-by-step explanation:

We have the following info given:

Confidence= 0.95 the confidence level desired

ME =0.03 represent the margin of error desired

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

The confidence level is 95% or 0.95, the significance is \alpha=0.05 and the critical value for this case using the normal standard distribution would be z_{\alpha/2}=1.96

Since we don't have prior information we can use \hat p= 0.5 as an unbiased estimator

Also we know that ME =\pm 0.03 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11  

And rounded up we have that n=1068

6 0
3 years ago
Jade can do 65 push ups in 5 minutes. At the same rate, how many push ups can you expect her to do in 7 minutes?
hram777 [196]

Answer:

91

Step-by-step explanation:

Set up a proportion, where x is the number of push ups she can do in 7 minutes

\frac{65}{5} = \frac{x}{7}

Cross multiply and solve for x:

5x = 455

x = 91

So, Jade can do 91 push ups in 7 minutes

3 0
3 years ago
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S 67.50° W

Step-by-step explanation:

3 0
3 years ago
Solve by factoring m^2+8m+7=0
Alenkinab [10]
We can use completing the square.We add 16 and subtract 7 to both sides. Now we get m^2+8m+16=9. The left sides becomes (m+4)^2=9. Taking the square root of both sides and subtracting 4 we get -1 and -7.
3 0
3 years ago
Read 2 more answers
3) (7,5), (9,-4)<br> A) (-1, 4.5)<br> G) (6, 2.5)<br> B) (11.-13)<br> D) (8,0.5)
Mnenie [13.5K]

Answer:

Step-by-step explanation:  474747-4747474-

6 0
3 years ago
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