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Sergio [31]
2 years ago
14

A charitable organization holds a canned food drive to benefit the local food bank. The number of cans collected by the voluntee

rs of the organization as they came in are 2, 6, 12, 16, 2, 6, 13, 17, 3, 8, 13, 19, 4, 10, 14, 19, and 5.
Pls help. I need the first and third quartile and the median
Mathematics
1 answer:
kirill115 [55]2 years ago
8 0

Answer:

Step-by-step explanation:

Minimum: 2

Quartile Q1: 4.5

Median: 10

Quartile Q3: 15

Maximum: 19

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Your family goes to a Southern-style restaurant for dinner. There are 6 people in your family.
Viktor [21]

Answer:

Number of people who order chicken dinner = 1

Number of people who order the steak dinner = 5

Step-by-step explanation:

Let

x = number of people who order chicken dinner

y = number of people who order the steak dinner

x + y = 6 (1)

14x + 17y = 99 (2)

From (1)

x = 6 - y

Substitute into (2)

14x + 17y = 99 (2)

14(6 - y) + 17y = 99

84 - 14y + 17y = 99

- 14y + 17y = 99 - 84

3y = 15

y = 15/3

y = 5

Substitute y = 5 into (1)

x + y = 6 (1)

x + 5 = 6

x = 6 - 5

x = 1

Number of people who order chicken dinner = 1

Number of people who order the steak dinner = 5

4 0
3 years ago
What is the coefficient of the third term in the binomial expansion of (a + b)6? 1 15 20 90
Sholpan [36]

Answer:  15

Step-by-step explanation:

(r+1)th term of (a+b)^n is given by:-

T_{r+1}=\ ^nC_r(a)^{n-r}b^r

For (a+b)^6 , n= 6

T_3=T_{2+1}=\ ^6C_2(a)^{6-2}(b)^2\\\\

=\ \dfrac{6!}{4!2!}a^4b^2\ \ \ [^nC_r=\dfrac{n!}{r!(n-r)!}]\\\\=\dfrac{6\times5\times4!}{4!\times2}a^4b^2\\\\=3\times5a^4b^2\\\\ =15a^4b^2

Hence, the coefficient of the third term in the binomial expansion of  (a+b)^6 is 15.

3 0
3 years ago
Read 2 more answers
A rectangular field with one side along a river is to be fenced. Suppose that no fence is needed along the river, the fence on t
Andreas93 [3]

Answer:

a) Side Parallel to the river: 200 ft

b) Each of the other sides: 400 ft

Step-by-step explanation:

Let L represent side parallel to the river and W represent width of fence.

The required fencing (F) would be F=L+2W.

We have been given that field must contain 80,000 square feet. This means area of field must be equal to 80,000.

LW=80,000...(1)

We are told that the fence on the side opposite the river costs $20 per foot, and the fence on the other sides costs $5 per foot, so total cost (C) of fencing would be C=20L+5(2W)\Rightarrow 20L+10W.

From equation (1), we will get:

L=\frac{80,000}{W}

Upon substituting this value in cost equation, we will get:

C=20(\frac{80,000}{W})+10W

C=\frac{1600,000}{W}+10W

C=1600,000W^{-1}+10W

To minimize the cost, we need to find critical points of the the derivative of cost function as:

C'=-1600,000W^{-2}+10

-1600,000W^{-2}+10=0

-1600,000W^{-2}=-10

-\frac{1600,000}{W^2}=-10

-10W^2=-1,600,000

W^2=160,000

\sqrt{W^2}=\pm\sqrt{160,000}  

W=\pm 400

Since width cannot be negative, therefore, the width of the fencing would be 400 feet.

Now, we will find the 2nd derivative as:

C''=-2(-1600,000)W^{-3}

C''=3200,000W^{-3}

C''=\frac{3200,000}{W^3}

Now, we will substitute W=400 in 2nd derivative as:

C''(400)=\frac{3200,000}{400^3}=\frac{3200,000}{64000000}=0.05

Since 2nd derivative is positive at W=400, therefore, width of 400 ft of the fencing will minimize the cost.

Upon substituting W=400 in L=\frac{80,000}{W}, we will get:

L=\frac{80,000}{400}\\\\L=200

Therefore, the side parallel to the river will be 200 feet.

4 0
3 years ago
One serving of Gooey Gushers provides 12% of the daily value of vitamin C. Tim ate 312 servings of Gooey Gushers.
Studentka2010 [4]

Answer:

a) Given expression,

12% of 312

Since 100% of 312 = 312

⇒ 10% of 312 = 31.2,

⇒ 1% = 3.12

⇒ 2% = 2 × 3.12 = 6.24

So, 12% of 312 = 10% of 312 + 2% of 312

= 31.2 + 6.24

= 37.44

b) Given,

Total number of servings = 312,

The percentage of vitamin C in each serving = 12%,

Thus, the total amount of the vitamin C in 312 servings = 12% of 312

=\frac{12\times 312}{100}

=\frac{3744}{100}

= 37.44,

Hence, the question can be asked about the total amount of the vitamin C.

6 0
3 years ago
Find the surface area of the composite figure rounded to the nearest hundredths. Use the pi button.
Nookie1986 [14]

Answer:

To find the area of composite figures and use area of a circle to find the radius.  Estimate the radius of the circle with the given area.

Step-by-step explanation:

I only say how you can founded

6 0
3 years ago
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