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ahrayia [7]
2 years ago
14

A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to spli

t the bill and tip evenly among themselves.
Which equations and solutions describe the situation? Select two options.

A. The equation 1/8 (x + 16) = 76/8 represents the situation, where x is the food bill.
B. The equation 1/8 (x + 16) = 76 represents the situation, where x is the food bill.
C. The solution x = 60 represents the total food bill.
D. The solution x = 60 represents each friend’s share of the food bill and tip.
E. The equation 8 (x + 16) = 76 represents the situation, where x is the food bill.
Mathematics
2 answers:
sdas [7]2 years ago
6 0
The answer would be b
Ne4ueva [31]2 years ago
4 0

Answer:

a

c

Step-by-step explanation:

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The following are the ages (years) of 5 people in a room: 14, 16, 16, 13, 23 A person enters the room. The mean age of the 6 peo
myrzilka [38]

Answer:

44.

Step-by-step explanation:

Since the mean of 14, 16, 16, 13, 23, x is 21, then we have 14 + 16 + 16 + 13 + 23 + x is equal to 126. Summing we have 14 + 16 + 16 + 13 + 23 = 82. 82 + x is equal to 126. X = 44.

4 0
2 years ago
g Bonus: Assume that among the general pediatric population, 7 children out of every 1000 have DIPG (Diffuse Intrinsic Pontine G
patriot [66]

Answer:

0.9586

Step-by-step explanation:

From the information given:

7 children out of every 1000 children suffer from DIPG

A screening test designed contains 98% sensitivity & 84% specificity.

Now, from above:

The probability that the children have DIPG is:

\mathbf{P(positive) = P(positive \  |  \ DIPG) \times P(DIPG) + P(positive  \ | \  not \DIPG)\times P(not  \ DIPG)}= 0.98\imes( \dfrac{7}{1000}) + (1-0.84) \times (1 - \dfrac{7}{1000})

= (0.98 × 0.007) + 0.16( 1 - 0.007)

= 0.16574

So, the probability of not having DIPG now is:

P(not \ DIPG \  |  \ positive) = \dfrac{ P(positive  \ | \  not DIPG)\timesP(not \  DIPG)} { P(positive)}

=\dfrac{ (1-0.84)\times (1 - \dfrac{7}{1000}) }{ 0.16574}

=\dfrac{ 0.16 ( 1 - 0.007) }{0.16574}

= 0.9586

8 0
2 years ago
involving the election of officers on a committee. Assume that the committee consists of 14 members including Tasha. The same th
Yanka [14]

Answer:

There are 364 ways of filling the offices.

Step-by-step explanation:

In this case, the order of filling of the offices does not matter, so, we can figure out the different ways of filling the offices by using the combination formula:

C^{n} _{r}=\frac{n!}{(n-r)!r!}

where n=14 (number of members)

r=3 number of offices

n!=n·(n-1)·(n-2)·...·3·2·1

C^{14} _{3}=\frac{14!}{(14-3)!3!}=\frac{14*13*12*11*10*9*8*7*6*5*4*3*2*1}{(11*10*9*8*7*6*5*4*3*2*1)*(3*2*1)}=\frac{14*13*12}{3*2*1} =364

5 0
3 years ago
a fish tank is in the shape of a cube the. volume of the fish tank is 64 cubic feet. What is the area of one face of the fish ta
babymother [125]
16 square feet. The cube root of 64 is 4, which is equal to the length of one side. The area of one side is the length times the width, and since this is a cube, the length equals the width, meaning that the side is 4 times 4 which is 16
3 0
2 years ago
Read 2 more answers
A box has length 8 feet, width 4 feet, and height 3 inches. Find the volume of the box in cubic feet and in cubic inches.
coldgirl [10]

The volume of a box in cubic inches = 13,824 cubic inches

The volume of a box in cubic feet = 8 cubic feet

<h3>What is the Volume of a box?</h3>

The volume of a box = (length)(width)(height).

Give the following:

Length of the box = 8 feet

Width of the box = 4 feet

Height of the box = 3 inches

Convert the length and width to inches (1 foot = 12 inches)

Length of the box = 8 feet = (8)(12) = 96 inches

Width of the box = 4 feet = (4)(12) = 48 inches

Height of the box = 3 inches = 3/12 = 0.25 ft

The volume of a box in cubic inches = (96)(48)(3) = 13,824 cubic inches

The volume of a box in cubic feet = (8)(4)(0.25) = 8 cubic feet

Learn more about the volume of a box on:

brainly.com/question/14957364

#SPJ1

8 0
1 year ago
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