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wariber [46]
2 years ago
14

Kendra has a bowl containing 10 blue marbles, 15 yellow marbles, 5 green marbles, and 6 red marbles of the same size. She will r

andomly pull out a marble, keep it outside the bowl, and then pull out another marble. What is the probability she will draw a red marble and then a yellow marble?. . 1/8. . 5/72. . 1/14. . 3/20
Mathematics
1 answer:
Mice21 [21]2 years ago
6 0
Given:
10 blue marbles ; 15 yellow marbles, 5 green marbles, 6 red marbles
A total of 36 marbles.

Probabilities:
1st marble: red = 6/36
2nd marble: yellow = 15/35

6/36 * 15/35 = 6*15 / 36*35 = 90/1260 = 1/14

The probability that Kendra will draw a red marble and then a yellow marble is 1/14.
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Use the distributive property to simplify 4(2p+4q+6)
cestrela7 [59]
<span>4(2p+4q+6)

You need to multiply 4 by each variable in the parentheses.
(4*2p) + (4*4q) + (4*6)

8p + 16q + 24 is the answer.</span>
8 0
1 year ago
Read 2 more answers
During the summer months the water level in Marta's pool decreases by about 1/2 inch each day due to evaporation. Which equation
larisa86 [58]

Answer:

Change = -(1/2) * 30 = -15 inches

Step-by-step explanation:

If the water level decreases by 1/2 inch each day, the change in the water level in one day is -1/2 inch.

So, after t days, the total change in the water level can be calculated as:

Total change = -(1/2) * t inches

So, after 30 summer days, the total change is:

Change = -(1/2) * 30 = -15 inches

So the water level of the pool after 30 summer days has decreased by 15 inches.

8 0
2 years ago
Read 2 more answers
Yvette exercises 14 days out of 30 in one month. What is the ratio of the number of days she exercises to the number of days in
Anestetic [448]

Answer:

7 to 15, 7:15, 7/15

Step-by-step explanation:

Ratios can be written as:

a to b

a:b

a/b

We want to find the ratio of exercise days to days in the month. She exercises 14 days out of 30 days in the month. Therefore,

a= 14

b= 30

14 to 30

14:30

14/30

The ratios can be simplified. Both numbers can be evenly divided by 2.

(14/2) to (30/2)

7 to 15

(14/2) : (30/2)

7:15

(14/2) / (30/2)

7/15

3 0
1 year ago
Read 2 more answers
Find all explicit solutions y = ϕ(x) of the DE in part (a) defined by this relation. Give the interval I of definition of each e
Evgen [1.6K]

Answer and Step-by-step explanation:

Firstly, by definition, an interval of definition of any solution is the open interval on which it is defined.

Consider the problem p′=p², p(0)=1, has solution p(t) = 1/(1−t).

The definition of this solution is on the interval (−1/2,1/3), making it an interval of definition of solution.

However, it isn't the largest. The largest interval of definition is (−∞,1).

Consider another problem: p(t)=t√ satisfies the ODE p′=1/(2p).

Meanwhile, when considered as the solution of the ODE above, the domain of square root is [0,∞), and the interval of definition is (0,∞).

But at t=0 the ODE makes no sense, so it would be wrong to assume that y satisfies the ODE in this case. Meanwhile, ODEs are generally considered only on open intervals.

7 0
1 year ago
If 1 cm represents 30 km on a map and colorado is shown by a 20cm by 15 cm rectangle on the map, what is the approximate actual
zubka84 [21]

Answer:

20*30km = 600km

15*30km = 450km

600km * 450km = 270000 km^2

Step-by-step explanation:

assuming 1cm --- 30km causes that 2cm --- 60km, 3cm --- 90km, 4cm --- 120km etc. Notice that number of km's is 30 times greater than the number of cm's on a map

using this logic, you calculate both real dimensions of Colorado by multiplying 20*30 = 600 km and 15*30 = 450km

Then we use a formula of an area of a rectangle A=a\cdot b assuming a=600km, \ b=450km and get A=600\cdot 450=270000km^2 which is an actual area of Colorado

3 0
1 year ago
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