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Furkat [3]
3 years ago
12

Suppose there is a deck where every card has both a single color and a single number. Suppose the colors are Red, Green, and Blu

e and the numbers are 1-20.
What is the probability that a randomly selected card will be Green 1?
What is the probability that a randomly selected card will be red?
Mathematics
1 answer:
Elza [17]3 years ago
6 0

Answer:

A. <u>P = 1.7% (rounding to the next tenth) </u>

B. <u>P = 33.3% (rounding to the next tenth) </u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Number of red cards = 20

Number of blue cards = 20

Number of green cards = 20

Total number of cards = 60

2. A. What is the probability that a randomly selected card will be Green 1?

Let's recall that the formula of the probability is:

P = Number of favorable outcomes/Total number of possible outcomes

Replacing with the value we have:

P = 1/60 = 0.017

<u>P = 1.7% (rounding to the next tenth) </u>

B. What is the probability that a randomly selected card will be red?

P = Number of favorable outcomes/Total number of possible outcomes

Replacing with the value we have:

P = 20/60 = 0.333

<u>P = 33.3% (rounding to the next tenth)</u>

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Someone help! It is urgent!!!
djverab [1.8K]

Answer:

a. f(-1)=12

b. f(2t)=16t²-6t+5

c. f(t-2)=4t²-19t+27

Step-by-step explanation:

For a, b, c, we are given an input. We plug that into f(x) to find our answers.

a.  f(-1)=12

f(-1)=4(-1)²-3(-1)+5

f(-1)=4+3+5

f(-1)=12

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

b. f(2t)=16t²-6t+5

f(2t)=4(2t)²-3(2t)+5

f(2t)=4(4t²)-6t+5

f(2t)=16t²-6t+5

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

c. f(t-2)=4t²-19t+27

f(t-2)=4(t-2)²-3(t-2)+5

f(t-2)=4(t²-4t+4)-3t+6+5

f(t-2)=4t²-16t+16-3t+6+5

f(t-2)=4t²-19t+27

7 0
3 years ago
Don’t answer if you don’t know !!
DochEvi [55]

Answer:

72 sides

Step-by-step explanation:

The sum of the angles of a polygon with n sides is (n−2) × 180

Since the polygon is regular, we can divide by the number of sides to find the measure of each angle (n−2) × 180 / n

Each angle is equal to 175

(n−2) × 180 / n = 175

Multiply each side by n

(n-2)180 = 175n

Distribute

180n -360 = 175n

Subtract 180n from each side

180n-180n-360 = 175n-180n

-360 = -5n

Divide each side by -5

-360/-5 =-5n/-5

72 = n

There are 72 sides

3 0
3 years ago
Read 2 more answers
An educational psychologist wishes to know the mean number of words a third grader can read per minute. She wants to make an est
nirvana33 [79]

Answer:

The 80% confidence interval for the mean number of words a third grader can read per minute is between 40.4 wpm and 40.8 wpm.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.8}{2} = 0.1

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.1 = 0.99, so z = 1.28

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.28*\frac{4.1}{\sqrt{840}} = 0.2

The lower end of the interval is the sample mean subtracted by M. So it is 40.6 - 0.2 = 40.4 words per minute.

The upper end of the interval is the sample mean added to M. So it is 40.6 + 0.2 = 40.8 words per minute.

The 80% confidence interval for the mean number of words a third grader can read per minute is between 40.4 wpm and 40.8 wpm.

3 0
3 years ago
Using the following image, solve the problems below given that B is the midpoint of AC.
ladessa [460]

Answer:

AB = 4

BC = 4

AC = 8

Step-by-step explanation:

Given, B is the midpoint of AC which means it divided the AC into two equal parts. Using this information we can write the following equation:

5x - 6 = 2x add 6 to both sides

5x = 2x + 6 subtract 2x from both sides

3x = 6 divide both sides by 3

x = 2 to find the length of AB, AC, and BC replace x with 2

AB = 5*2 - 6

BC = 2*2

AC = 8 (sum of AB and BC)

3 0
2 years ago
8.
kondaur [170]

Answer:

36.2

Step-by-step explanation:

Assuming that the dotted line is a perpendicular bisector, we can say that it splits the side that is 30 units long into 2 sets of 15 units. Then, we can use the pythaogrean theorem to solve (Leg A is 33 and Leg B: 15). a^2+b^2=c^2

33^2+15^2=c^2

1089+225=c^2

1314=c^2

Square root of 1314 = square root of c^2

36.2 aapproximately c

5 0
2 years ago
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