How do U do #30.....

Amy hikes down a slope to a lake that is 10.2 meters below the trail. Then Amy jumps into the lake, and swims 1.5 meters down. S

Grace [21]

she went down the slope 10.2 meters, -10.2

then she jumped down to the lake 1.5 meters, -1.5

-10.2 - 1.5 = -11.7 meters.

so she pretty much went 11.7 meters down from her original location.

7 0

3 years ago

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The poetry section of the library has 6 bookcases. Each bookcase has 3 shelves. There are 10 books on each shelf. How many total

torisob [31]

Answer: total books = 180

Step-by-step explanation:

Given: Poetry section of the library has 6 bookcases.

Number of shelves in each bookcase = 3

Total shelves = (Number of shelves in each bookcase) x (Number of bookcases in each poetry section)

= 3 x 6

= 18

Number of books in each shelf = 10

Total books = (number of shelves) x 10

= 18 x 10

= 180

hence, total books in the poetry section= 180

5 0

2 years ago

There are 3 red marbles, 5 green marbles, and 2 blue marbles in a jar. Event A is defined as drawing a red marble from the jar o

Anastaziya [24]

P(B/A) is $\frac{5}{9}$ in the simplest form

Step-by-step explanation:

Let us explain how to solve the problem

P(B|A) is called the "Conditional Probability" of B given A
Conditional probability is the probability of one event occurring with some relationship to one or more other events that means event A has already happened, now what is the chance of event B
The formula for conditional probability is P(B|A) = P(A and B)/P(A), where P(A and B) is P(A) . P(B given A occurred)

∵ There are 3 red marbles, 5 green marbles, and 2 blue

marbles in the jar

∴ The total number of the marbles in the jar = 3 + 5 + 2 = 10

∵ Two marbles are drawn from the bag, one after the other without

replacement

- That means red is already occurred when green is happened,

so it is a "Conditional Probability" of green given red

P(B/A) = P(A and B)/P(A)

∵ Event A is defined as drawing a red marble from the jar on

the first draw

∴ P(A) = P(red)

∵ P(red) = $\frac{3}{10}$

∴ P(A) = $\frac{3}{10}$

∵ Event B is defined as drawing a green marble on the second draw

∴ P(B) = P(green)

- The number of marbles after the red is chosen is 9

∵ P(green) = $\frac{5}{9}$

∴ P(B) = $\frac{5}{9}$

- Find P( A and B)

∴ P(A and B) = ( $\frac{3}{10}$ ) . ( $\frac{5}{9}$ )

∴ P(A and B) = $\frac{15}{90}$

- Simplify the fraction by divide up and down by 15

∴ P(A and B) = $\frac{1}{6}$

∵ P(B|A) = P(A and B)/P(A)

- Substitute the values of P(A and B) and P(A) in the rule above

∴ P(B/A) = $\frac{\frac{1}{6}}{\frac{3}{10}}$

- Simplify the fraction

∵ $\frac{1}{6}$ ÷ $\frac{3}{10}$ = $\frac{1}{6}$ × $\frac{10}{3}$ = $\frac{10}{18}$

- Divide up and down by 2

∴ P(B/A) = $\frac{5}{9}$

P(B/A) is $\frac{5}{9}$ in the simplest form

Learn more:

You can learn more about probability in brainly.com/question/10744457

#LearnwithBrainly

7 0

2 years ago

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If Alex has 4 times as many dimes as nickels and they have a combined value of 270 cents, how many of

bija089 [108]

Answer:

Nickel has 54 cents and Alex has 216 cents.

Step-by-step explanation:

Hope it helps u :)

5 0

2 years ago

A cab company offers a special discount on fare to senior citizens. The following expression models the average amount a cab dri

steposvetlana [31]

Answer:

D. The constant 250 represents the average collection when no seniors ride.

Step-by-step explanation:

A -- the entire expression represents the driver's pay, not just the constant 250.

B -- collections continue to increase as x goes up, so 250 is the minimum, not the maximum.

C -- x is the number of seniors; 250 is in units of collections (dollars?), not numbers of seniors.

D -- indeed, 250 is the "y-intercept" of the expression, hence the collection when no seniors ride.

4 0

2 years ago