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skelet666 [1.2K]
3 years ago
8

3) The average age of students at XYZ University is 24 years with a standard deviation of 8 years. Number of students at the uni

versity is 7500. A random sample of 36 students is selected. What is the probability that the sample mean will be between 25.5 and 27 years
Mathematics
1 answer:
otez555 [7]3 years ago
3 0

Answer:

0.1875

Step-by-step explanation:

σM=σ/√N

=8/√7500

=8/86.608

=0.092

Z=(x-μ)/σ/√N

=(25.5-36)/8/√7500

=-10.5/0.0092=-1141.304

Z score = -1.3125

=(27-36)/8/√7500 =

=9/0.0092=978.261

Z score= -1.125

-1.125-(-1.3125)=-1.125+1.3125)= 0.1875

The probability that the sample mean will be between 25.5 and 27 years

P(between 25.5 and 27) = 0.1875

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Urgent please help .On a piece of graph paper, graph y+2<-2/3x+4
Serjik [45]
Take a look at the function y+2=- \frac{2}{3}x+4. You can simplify it to y=- \frac{2}{3}x+2. If x=0, then y=2 and when y=0, x=3. You obtain two points (0,2) and (3,0) that lie on the line y+2=- \frac{2}{3}x+4.

Since y+2\le - \frac{2}{3}x+4, the line y+2=- \frac{2}{3}x+4 should belong to the shaded area. 

Now take point (0,0). Since 0+2\le- \frac{2}{3}\cdot 0+4, you can conclude that point (0,0) belongs to the shaded area.Using all these thoughts, you can make a conclusion that the correct choice is B.



8 0
3 years ago
Please help me with 2-10 thank you in advance
Romashka [77]
20% = \frac{1}{5}
4% = \frac{1}{25}
\frac{3}{4} = 75%
\frac{11}{25} = 44%
7 out of 10 = 70%
8 0
3 years ago
The area of a circle is 3.142cm square.find the radius and diameter of the circle
suter [353]

Answer:

50.24 or 50.272

Step-by-step explanation:

Square radius and then times by 3.14 or 3.142

4^2*3.14 = 50.24

4^2*3.142 = 50.272

3 0
3 years ago
Read 2 more answers
How many randomly chosen guests should I invite to my party so that the probability of having a guest with the same birthday as
dimulka [17.4K]

Answer:

At least 401 chosen guests

Step-by-step explanation:

Represent those with same birth day with Same

So:

P(Same) > \frac{2}{3}

Represent number of people with n

There are 365 days in a year and 364 days out of these days is not your birthday.

So, there the probability that n people do not share your birthday is (\frac{364}{365})^n

i.e.

P(none) = (\frac{364}{365})^n

Solving further, we have that:

P(same) + P(none) = 1

P(same) + (\frac{364}{365})^n = 1

P(same) = 1 - (\frac{364}{365})^n

We're calculating the probability that P(Same) > \frac{2}{3}.

So, we have:

1 - (\frac{364}{365})^n > \frac{2}{3}

Collect Like Terms

1 - \frac{2}{3}> (\frac{364}{365})^n

\frac{3-2}{3}> (\frac{364}{365})^n

\frac{1}{3}> (\frac{364}{365})^n

3^{-1} > (\frac{364}{365})^n

Take natural logarithm (ln) of both sides

ln(3^{-1}) > ln((\frac{364}{365})^n)

-ln\ 3 > n\ ln\ (\frac{364}{365})

Apply laws of logarithm

-ln\ 3 > n\ (ln(364) - ln(365))

Multiply through by -1

ln\ 3 < n\ (ln(365) - ln(364))

Solve for n

\frac{ln\ 3}{(ln(365) - ln(364))} < n

Reorder

n > \frac{ln\ 3}{(ln(365) - ln(364))}

n > \frac{1.09861228867}{(5.89989735358 - 5.89715386764)}

n> \frac{1.09861228867}{0.00274348594}

n > 400.443928891

n > 400 (approximated)

This implies that n = 401, 402, 403 .....

i.e

n \geq 401

So, at least 401 people has to be invited

5 0
3 years ago
Helpp show work plsss
gulaghasi [49]

Answer:

everyone gets 0.5 lbs of sunflower seeds because 6÷3=0.5

8 0
3 years ago
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