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True [87]
3 years ago
11

A chef makes 3 containers of soup that fills a total of 120 soup bowls. Each container of soup coasts $30 to make. What is the c

oast per bowl for the soup
Mathematics
1 answer:
xxMikexx [17]3 years ago
4 0

Answer:

1.333333333.....$

Step-by-step explanation:

Container = C

Bowl = B

Question : Value of B ?

3C = 120 Bowls

C = 40 Bowls for 30$

B = \frac{40}{30} = \frac{4}{3} = 1.3333..........$

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A standard deck of cards contains 52 cards. One card is selected from the deck.​(a)Compute the probability of randomly selecting
Aneli [31]

a. There are four 5s that can be drawn, and \binom43=4 ways of drawing any three of them. There are \binom{52}3=22,100 ways of drawing any three cards from the deck. So the probability of drawing three 5s is

\dfrac{\binom43}{\binom{52}3}=\dfrac4{22,100}=\dfrac1{5525}\approx0.00018

In case you're asked about the probability of drawing a 3 or a 5 (and NOT three 5s), then there are 8 possible cards (four each of 3 and 5) that interest you, with a probability of \frac8{52}=\frac2{13}\approx0.15 of getting drawn.

b. Similar to the second case considered in part (a), there are now 12 cards of interest with a probability \frac{12}{52}=\frac3{13}\approx0.23 of being drawn.

c. There are four 6s in the deck, and thirteen diamonds, one of which is a 6. That makes 4 + 13 - 1 = 16 cards of interest (subtract 1 because the 6 of diamonds is being double counted by the 4 and 13), hence a probability of \frac{16}{52}=\frac4{13}\approx0.31.

- - -

Note: \binom nk is the binomial coefficient,

\dbinom nk=\dfrac{n!}{k!(n-k)!}={}_nC_k=C(n,k)=n\text{ choose }k

6 0
4 years ago
10.) Fishermen have been studying how the number of dead sea turtles in the local bay is related to the pollution index of the b
alexdok [17]

Answer:

Step-by-step explanation:

A linear function is a polynomial function of the first degree that has the form:

f (x) = m*x + b   or  y=m*x + b

where y is the dependent variable, x is the independent variable, m is the slope of the line and b is the intercept with the Y axis.

The slope m measures the inclination of the line with respect to the abscissa axis, that is, the x axis.  According to the value of the slope m, the linear function can be increasing if m> 0, decreasing if m <0 or constant if m = 0.

You know that the number of sea turtle deaths per year is modeled by f(x) = 13.42x + 109.118.   Then the value of the slope is 13.42. In this scenario, the slope indicates that the number of deaths of sea turtles grows in a proportion of 13.42 with respect to the pollution index of the bay.

5 0
3 years ago
The total number of pears and oranges in a basket is between 30 and 40 . There are 25% more apple than orange how many apples ar
Verdich [7]

The number of apples there are in the basket as described in the task content is; 20 apples.

<h3>What is the number of apples there are in the basket?</h3>

Inference drawn from the task content show that;

  • The ratio of apples to oranges in the basket is; 5:4. making the total partitions be 9.

On this note, we must identify a number divisible by 9 between 30 and 40.

The number is 36 and once divided by 9 is 4 units per partition.

On this note, the total number of apples in the basket is; 4 × 5 = 20 apples.

Read more on ratios;

brainly.com/question/13513438

#SPJ1

7 0
2 years ago
A high school class consists of 5 ​seniors, 10 ​juniors, 13 ​sophomores, and 4 freshmen. Exactly 4 of the juniors are male​, and
lozanna [386]

Answer:

The probability that the pair consists of a female junior and a male sophomore is 0.096

Step-by-step explanation:

No of male juniors=4

No of female juniors=10-4=6

No of female sophomores=5

No of male sophomores=13-5=8

As per question,

Probability that the pair consists of a female junior and

a male sophomore =\frac{6C1\times8C1}{32C2}=0.096

Therefore, the probability that the pair consists of a female junior and a male sophomore is 0.096

7 0
4 years ago
How to find the Perimeter?
SOVA2 [1]

Answer:

8+2\sqrt{20\\}\\

Step-by-step explanation:

2+2+2+2+\sqrt{20\\}\\+\sqrt{20\\}\\=8+2\sqrt{20\\}\\

4^2+2^2=h^2

20=h^2

h=\sqrt{20\\}\\

7 0
3 years ago
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