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3 years ago

Which represents a unit rate? The cost of cat food is $36 per 3 bags

Mathematics

1 answer:

coldgirl [10]3 years ago

3 0

Step-by-step explanation:

To find unit rate

1 bag = 36÷ 3 = 12

So unit rate = $12

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Roll two fair dice. Each die has six faces. A. Let A be the event that either a 3 or 4 is rolled first followed by an odd number

zhenek [66]

Answer:

A. 0.16

B. 0.58

C. No

D. Dependent

Step-by-step explanation:

The sampling space has 36 outcomes.

The event A has 6 outcomes (3,1), (3,3), (3,5), (4,1), (4,3),(4,5)

So P(A)= 6/36 = 0.16

The table in the picture shows the 15 outcomes that are not allowed, so there are 36-15 = 21 possible outcomes for B and its probability is 21/36 = 0.58

Are A and B mutually exclusive events?

No since their intersection is not empty, for example (3,1) belongs to both A and B

In order for A and B to be independent, it must happen that

P(A∩B)=P(A)P(B)

A∩B={(3,1),(3,3),(4,1)} so P(A∩B) = 3/36

whereas

P(A)P(B) = (6/36)(21/36) = (1/6)(7/12)=7/72

So A and B are not independent.

7 0

3 years ago

A(8x + 7) what is the value of a

sdas [7]

Answer:

A B C E F G H I J K L M N O P Q R S T U V W Y & Z so I guess the value of A is 1

Step-by-step explanation:

4 0

3 years ago

9 unit percent change is 23, what is the 19th unit percent cahnge?

vichka [17]

Answer:

42.40705%

Step-by-step explanation:

(1 - (23/100)^(19/9) = 1 + r/100

0.57593 = 1 + r/100

r = 42.40705%

6 0

2 years ago

Fifteen students are going hiking on their spring break. They plan to travel in three vehicles—one seating 7, one seating 5, and

andriy [413]

Answer:

The students can group themselves in 360360 ways

Step-by-step explanation:

For this exercise we need to use the following equation:

$\frac{n!}{n1!*n2!*...*nk!}$

This equation give us the number of assignation of n elements in k cell, where n1, n2, ..nk are the element that are in every cell

In this case we have 15 student that need to be assign in three vehicles with an specific capacity. This vehicles would be the equivalent to cells, so we can write the equation as:

$\frac{15!}{7!*5!*3!}$

Because the first vehicle have 7 seating, the second vehicle have 5 seating and the third vehicle have 3 seating.

Solving the equation we get 360360 ways to organized 15 students in three vehicles with capacity of 7, 5 and 3 seating.

5 0

3 years ago

Which is the longest?<br> A. 2 km<br> B. 25 m<br> C. 2,500 cm<br> D. 3,000 mm

Leona [35]

2km=2000m
25m=25m
2500cm=25m
3000mm=3m

Hence the longest is 2km=2000m

8 0

3 years ago