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8090 [49]
3 years ago
5

A sample of 25 undergraduates reported the following dollar amounts of entertainment expenses last year:

Mathematics
1 answer:
Kaylis [27]3 years ago
4 0

Answer:

A.

mean = 724.2

Median = 715

Mode = 768

B.

Range = 85

Standard deviation = 29.30

C.

Interval = [665.6, 782.8]

Step-by-step explanation:

Number of samples n = 25

Summation X= 769 + 691 + 699 +730+711+ 765+ 702 718 +719 +712+ 768 +688 +757+695 768 +735 +709 +758 +708+ 693 +736 700+ 687 +772 +715 = 18105

A.

1. Mean = 18105/25

= 724.2

2. Median is the middle value when arranged from the least value to the highest = 715

3. Mode is the number with the highest frequency = 768 (occured two times)

B.

1. Range = highest value - lowest value

Highest value = 772

Lowest value = 687

772-687 = 85

2. Standard deviation = √(X-barX)²/n-1

= √20604/25-1

=√858.5

= 29.30

Please check attachment for the full calculation of the standard deviation

C.

Interval

[Mean - 2(sd), mean + 2(sd)]

= [724.2-2x29.3, 724.2+2x29.3]

=[665.6, 782.8]

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Mrs. Salinas bought 10 pounds of a mixture made of M&Ms and peanuts. M&Ms sell for $3 pound. Peanuts sell for $2 pound.
jek_recluse [69]

Answer:

Mrs. Salinas buys 4 ounces M&Ms and 6 ounces Peanuts.

Step-by-step explanation:

Given,

Total weight of the mixture = 10 pounds.

Total money Mrs. Salinas paid = $24.

We have to find out the weight of each M&Ms and peanuts.

Solution,

Let the weight of M&Ms be x.

And the weight of peanuts be y.

Since total weight of the mixture is 10 pounds.

So, we can frame it in equation as;

x+y=10\ \ \ \ \ equation\ 1

Again, Total money paid by Mrs. Salinas is the sum of weight of M&Ms multiplied by price for each ounce and weight of peanuts multiplied by price for each ounce.

So, we can frame it in equation as;

3x+2y=24\ \ \ equation\ 2

Now, multiplying equation 1 by 2, we get;

2(x+y)=10\times2\\\\2x+2y=20\ \ \ \ \ equation\ 3

Now subtract equation 3 from equation 2, we get;

(3x+2y)-(2x+2y)=24-20\\\\3x+2y-2x-2y=4\\\\x=4

On substituting the value of x in equation 1, we get;

x+y=10\\\\4+y=10\\\\y=10-4\\\\y=6

Hence Mrs. Salinas buys 4 ounces M&Ms and 6 ounces Peanuts.

5 0
3 years ago
I WILL GIVE BRAINIEST!
Novay_Z [31]
Range is the value of y
f(x)=-x²+5
when x=-1, f(x)=-(-1)²+5=4
when x=2, f(x)=-(2)²+5=1
so 1<y≤4
the second piece: f(x)=2x-3
when x=2, f(x)=2(2)-3=1
when x=5, f(x)=2(5)-3=7
so 1≤y<7

union of the two parts of y: 1≤y<7
[1,7) is the answer. 
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3 years ago
What is the area of the triangle shown
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Answer:

The answer is 40 sq. units

That is: 1/2×b×h (formula for area of triangle)

1/2×10×8

= 40

7 0
3 years ago
5x4 - 29x3 +21x2 - 8x + 15<br> X-5
Helga [31]

Answer:

5x^4−29x^3+21x^2+7x−5

Step-by-step explanation:

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5 0
3 years ago
B square - 10B = 2000​
crimeas [40]

Answer:

b = 50

b = -40

Step-by-step explanation:

b^2-10b-2000=0

(b-50)(b+40) = 0

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b = -40

5 0
3 years ago
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