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posledela
3 years ago
14

Can you help me please A, B, C Or D?

Mathematics
2 answers:
prohojiy [21]3 years ago
6 0
It's b. because you have to add the ones in the parentheses then add that to the one outside the parentheses
gulaghasi [49]3 years ago
4 0
I believe is distributive property... 
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A statistician selected a random sample of 125 observations from a population with a known standard deviation equal to 16 and co
serious [3.7K]

Answer:

Step-by-step explanation:

Given that a statistician selected a random sample of 125 observations from a population with a known standard deviation equal to 16 and computed a sample mean equal to 77

We can use Z critical values since population std deviation is known. Also sample size >30

We find std error of mean = \frac{16}{\sqrt{125} } \\=1.4311

Margin of error = Z critical value * 1.4311

Z critical values for 93% = 1.81

for 89% = 1.60

n Std error Z critical  Conf interval  

            89%    

     

125 1.4311     1.6  (74.71024 79.28976 )

     

     

          93%    

            1.81  (74.409709 79.590291 )

We find that when confidence level increases interval width increses.

c) When sigma changes to 441, std error changes to \frac{16}{\sqrt{441} } \\=0.7619

So we get

n Std error Z critical  Conf interval  

           89%    

     

441  0.7619     1.6  (75.781 78.219 )

     

     

         93%    

           1.81  (75.621 78.37904)

d) When n = 625, std error changes to 16/25 = 0.64

n Std error Z critical  Conf interval  

        89%    

     

441 0.64 1.6        (75.976 78.024 )

     

     

       93%    

        1.81      (75.842 78.1584)

When sample size increases, confidence interval width decreases.

8 0
3 years ago
A survey asks, "If the husband in a family wants children, but the wife decides that she does not want any children, is it all r
vodka [1.7K]

Answer:

a. The 99% confidence interval for the population proportion is (0.7872, 0.8610).

D. Yes, we can conclude that the population proportion exceeds 75% because 75% is below the lowest believable value of the confidence interval.

b. The 99% confidence interval would be wider than a 95% confidence interval.

As the confidence level increases, the width interval increases, as we are requiring more confidence with the same information (there is no new sample). This means that, to be more confident, the only way is to include more values in the interval.

Step-by-step explanation:

We have to calculate a 99% confidence interval for the proportion.

The sample proportion is p=0.8241.

p=X/n=581/705=0.8241

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.8241*0.1759}{705}}\\\\\\ \sigma_p=\sqrt{0.000206}=0.0143

The critical z-value for a 99% confidence interval is z=2.5758.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_p=2.5758 \cdot 0.0143=0.0369

Then, the lower and upper bounds of the confidence interval are:

LL=p-z \cdot \sigma_p = 0.8241-0.0369=0.7872\\\\UL=p+z \cdot \sigma_p = 0.8241+0.0369=0.8610

The 99% confidence interval for the population proportion is (0.7872, 0.8610).

We can conclude that there is, at least, 99% chances that the true proportion is higher than 0.7872. So there is at least 99% chances that the population proportion is higher than 0.75.

4 0
3 years ago
Does anyone know how to solve this? I really need help please.
harina [27]

Answer:

See Below

Step-by-step explanation:

angle BAK = 128

Find KAS

180 - 128 = 52

KAS = 52

find BKA and ABK

360 -128 = 232

232/2 = 116

BKA =116

ABK = 116

find AKS

180 - 116 = 64

AKS =64

Now you have KAS and AKS

add together and subtract sum from 360 to find BSK

52 + 64 = 116

360 - 116 =244

Let me know if incorrect, plz.

Hope this helps=)

6 0
3 years ago
A circle has an area of 127 cm?. Find its circumference. (Round your answer to the
Karolina [17]

≈39.95

A Area  

127

d

r

r

r

d

d

C

A

Using the formulas

A=πr2

C=2πr

Solving forC

C=2πA=2·π·127≈39.94908

4 0
2 years ago
Read 2 more answers
If a train leaves the station at 7:00 AM and travels at 56 mph, at what time would it arrive at the next town that is 450 miles
Olin [163]

Answer:

3:02pm

Step-by-step explanation:

we can first do 450/56 to find out how long it takes the train to travel 450 miles

this equals 8.0357142857

so this is 8 hours plus a little more time

we now have to convert that decimal into a number of minutes

60(0.0357142857)

that equals 2.142857142

so that's 2 minutes and 14 seconds

so we just need to add 8 hours 2 minutes and 14 seconds to 7:00am

which would be 3:02:14pm

3 0
3 years ago
Read 2 more answers
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