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Mariulka [41]
3 years ago
6

Maria has eight black marbles, fourteen clear marbles, and twelve blue marbles in a bag. If she picks two marbles at random, wit

hout replacement, what is the probability that she will select a blue marble first, then a clear marble?
Mathematics
1 answer:
horrorfan [7]3 years ago
8 0

Answer:

\boxed{0.15}

Step-by-step explanation:

Part 1: Solve for the total amount of marbles

To solve for the probability of certain events, a population is needed to derive this information from. In order to find this population, add up the amounts of each marble.

8 + 14 + 12 = 34 marbles

Part 2: Determine the probabilities

Now, given the amounts of marbles, simply multiply the ratios of blue marbles to total marbles and the ratio of clear marbles to total marbles to get the combined probability.

\frac{12}{34}*\frac{14}{33} =  \frac{28}{187} \approxeq 0.1497 \approxeq 0.15 * 100 = 15

The probability of these events occurring simultaneously is 15%.

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Jayla had a bake sale to raise money. At the end of the day, she had 2 1/ 4 apple pie, 2/ 4 lemon pie, and 1 3 /4 cherry pie lef
irina1246 [14]

Answer:

4 2/4 or 4 1/2

Step-by-step explanation:

2 1/4+1 3/4

If you take 3/4 and add it to 1/4 you get 1 then you at 1+1+2=4 then you add the lemon ie which is 2/4, therefore, the answer is 4 2/4 or 4 1/2(simplified).

8 0
2 years ago
Read 2 more answers
Which of the following represents a positive number?​
Trava [24]

Answer: OPTION C

Step-by-step explanation:

A positive number must be greater than (>) 0, so lets check which fits this condition.

--------------------------------------------

A.

7.09+(-7.28)=-0.19   NEGATIVE

B.

-12+11.5=-0.5  NEGATIVE

C.

-4.8-(-6.1)=1.3   POSITIVE

D.

-21-(-18.5)=2.5   NEGATIVE

--------------------------------------------

C represents positive number

Hope this helps!! :)

Please let me know if you have any question

3 0
3 years ago
Maria invests $6,154 in a savings
Anna [14]

Answer:

$13286.02

Step-by-step explanation:

100 + 8 = 108

108 / 100 = 1.08

6154 x 1.08^{10} = $13286.02

4 0
2 years ago
Read 2 more answers
A sign standing 6 feet tall is situated 18 feet away from a flag pole. at a certain time of day the sign's shadow is 3 feet long
alexdok [17]
Observe attached picture.

On picture we have:
A = height of flagpole = x ft
B = length of flagpole's shadow = 24 ft
C = height of sign = 6 ft
D = length of sign's shadow = 3 ft

When we draw a picture representing this problem we can also add another line marked in red. This way we can see that we have two right-angle triangles. We can see that both have same angle marked with α.

We can apply trigonometry rules to find height of flagpole.

From small triangle containing sign we can find tangens function:
tan \alpha = \frac{C}{D}
Similarly we can do for large triangle containing flagpole:
tan \alpha = \frac{A}{B}

We see that these two equations have same left sides. This means that their right sides must also be same:
\frac{C}{D} = \frac{A}{B}
We can solve for A:
CB=AD \\ A= \frac{CB}{D}  \\ A= \frac{6*24}{3}  \\ A=48 ft

Height of flagpole is 48 feet.

8 0
3 years ago
Suppose that 11 inches of wire costs 66 cents. at the same rate, how much (in cents) will 4 inches of wire cost?
Andre45 [30]
24 cents.

11/66= 6
4/x= 6
4•6= 24
(proportions)

hope this is clear :))
7 0
3 years ago
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