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anygoal [31]
2 years ago
11

A marketing firm is studying consumer preferences for winter fashions in four different months. From a population of women 18-21

years of age, a random sample of 100 women was selected in January. Another random sample of 100 women was selected in March. Another random sample of 100 women was selected in June. Another random sample of 100 women was selected in September. What is the number of samples?
Mathematics
1 answer:
Solnce55 [7]2 years ago
4 0

Answer:

There were total 4 samples collected and each sample had a sample size of n = 100.

Step-by-step explanation:

We are given the following information in the question:

Collection of samples:

1^{st}\text{ sample was done in January with a sample size n = 100}

2^{nd}\text{ sample was done in March with a sample size n = 100}

3^{rd}\text{ sample was done in June with a sample size n = 100}

4^{th}\text{ sample was done in September with a sample size n = 100}

Hence, there were total 4 samples collected and each sample had a sample size of n = 100.

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What will your balance be on an investment of $7000 at 4% for 2 years compounded annually.
rosijanka [135]
I think the answer is 140
6 0
3 years ago
Find the area of the shaded region. round answers to the nearest tenth. assume all inscribed polygons are regular. 29.3 units2
FromTheMoon [43]
The picture in the attached figure

we know that
the area of the shaded region is equal to
(2/3)*[area of the circle - the area of the triangle]  

step 1
Find the area of a circle Ac
Ac = π r²
Ac = π (6)²
Ac = 113.10 units²

step 2
find the area of the triangle At
The triangle is an equilateral triangle with angles on each corner equal to 60 degrees. Meanwhile,
the 3 angles at the center is 120 degrees each since a circle is 360 degree.
 We know that the radius (line from centerpoint to corner) is equivalent to 6.
Using the cosine law,
we can calculate for the length of one side.
s² = 6^ + 6² – 2 (6) (6) cos 120
s² = 108
s = 10.4 units
Since this is an equilateral triangle, therefore, all sides are equal.
The area for this is:
At = (sqrt3 / 4) * s²
At = 46.77 units²

step 3
the area of the shaded region=(2/3)*[area of the circle - the area of the triangle]  
the area of the shaded region=(2/3)*[113.10-46.77]------> 44.22 units²

therefore

the answer is
the area of the shaded region is 44.22 units²


5 0
2 years ago
Dominic has 12 children. he bought pizza for his kids. If each child ate 1/3 of pizza, how many pizzas did Dominic need to buy
Kazeer [188]

Answer:

  4

Step-by-step explanation:

If each of 12 kids ate 1/3 of a pizza, the amount eaten was ...

  12 × 1/3 pizza = 12/3 pizza = 4 pizza

Dominic needed to buy 4 pizzas.

7 0
1 year ago
Solving for angles - Geometry
Otrada [13]

Answer:

<BAC=19

Step-by-step explanation:

<AOB=<DOC=142

<BAC=<ABD

2<BAC=180-142

2<BAC=38

<BAC=38/2

<BAC=19

7 0
2 years ago
Read 2 more answers
Casey has n nickels. Megan has 4 times as many nickels as Casey has. Write and expression for the total number of nickels Casey
AnnyKZ [126]

Step-by-step explanation:

Let n be the number of nickels that Casey has.

We are told that Megan has 4 times as many nickels as Casey has, therefore, the number of nickels that Megan has will be 4*n.

Now we will add the amounts of nickels that Casey and Megan have to find the total amount of nickels.

\text{Total number of nickels Casey and Megan have}=n+4*n

Therefore, the expression n+4*n will represent the total number of nickels that Casey and Megan have .

Upon combining like terms we will get,

\text{Total number of nickels Casey and Megan have}=(1+4)n

\text{Total number of nickels Casey and Megan have}=5n

Therefore, Casey and Megan have 5n nickels.

6 0
2 years ago
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