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Montano1993 [528]
2 years ago
6

A kiddie pool holds miniature plastic ducks in different colors. Sophia randomly picks up a duck and then replaces it. She repea

ts this process 100 times. The table shows the results of her experiment.
Duck Color Times Picked
red 30
green 20
yellow 40
blue 10

What is the relative frequency of choosing a red duck? What color of duck is there likely to be the most of in the pool?

A.
The relative frequency is 0.3. It is likely that most ducks are blue.
B.
The relative frequency is 0.2. It is likely that most ducks are yellow.
C.
The relative frequency is 0.3. It is likely that most ducks are yellow.
D.
The relative frequency is 0.2. It is likely that most ducks are green.
Mathematics
2 answers:
Elis [28]2 years ago
8 0

Answer:

C.

The relative frequency is 0.3. It is likely that most ducks are yellow.

Step-by-step explanation:

aliya0001 [1]2 years ago
4 0

Answer:

A is the answer

Step-by-step explanation:

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1. Find the vertex of the following: y = (x - 4)(x - 10) *
horsena [70]

Answer:

1. (7,-9)

2. (4,0) and (10,0)

3. (3,0) and (-3,0)

4. (0,-9)

5. (-1,-32)

Step-by-step explanation:

To find the vertex use the formula

\frac{-b}{2a}

First make the equation into a quadratic equation.

(x-4)(x-10)\\x^{2} -10x-4x+40\\x^{2} -14x+40

Now it is in the form

ax^{2} +bx+c=0

Now we can substitute the values

\frac{-(-14)}{2(1)} \\\frac{14}{2} \\7

Now we have 7 as our x value for the vertex we can substitute for y,

x^{2} -14x+40=y\\(7)^{2} -14(7)+40=y\\49-98+4=y\\y=-9

So the vertex for 1 is (7,-9)

To find the intercepts for 2 & 3, they basically already give it to you. You just need to find a value for x for x-4 that will equal it to 0 and another for x for x-10 that will equal it to 0.

x-4=0\\x=4\\\\x-10=0\\x=10

4 is slightly different but start the same,

(x-3)(x+3)\\x^{2}+3x-3x-9\\x^{2}-9

Here, c (9) just shows the graph move down 9, so the y intercept = 9.

5 is the same process as 1,

2(x-3)(x+5)\\2(x^{2}+5x-3x-15)\\2(x^{2}+2x-15)\\2x^{2}+4x-30

Vertex,

\frac{-(4)}{2(2)} \\\frac{-4}{4} \\-1

Substitute,

2x^{2}+4x-30\\2(-1)^{2}+4(-1)-30\\2-4-30\\-32

So the vertex is (-1,-32)

8 0
3 years ago
40% of the students in Jody's class
77julia77 [94]
40% = 40/100 = 0.40
Find 40% of 20
20 * 0.40 = 8
Solution: 8 students traveled
7 0
3 years ago
Percentage:
masha68 [24]
20 percent
If you cross multiply 30 w/ 100 and then divide it by 150 you will get 20.
5 0
2 years ago
You deposit $2000 into an account which pays 4.5% annual intrest compounded quarterly. How long will it take the account to doub
Elan Coil [88]

Answer: She could have the same future value and invest less than $2,000 initially if she could earn more than 64.5 percent interest.

Step-by-step explanation:

6 0
3 years ago
The Hoover Dam generates an average of about 11,506,000 kilowatt-hours of electricity per day.
OLEGan [10]

Answer:

161,084,000

Step-by-step explanation:

7 x 11,506,000 = 80,542,000

80,542,000 x 2 = 161,084,000

6 0
2 years ago
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