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mezya [45]
2 years ago
14

Can someone explain how you would figure this out step by step.

Mathematics
1 answer:
Xelga [282]2 years ago
4 0

Answer:

Step-by-step explanation:

I don’t know if this will help but I hope it does let me know if you get it or not

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Plzzzzzzz help asappp
Romashka [77]
9.9
With right triangles you can use the equation a^2 + b^2 = c^2. Since both a and b are 7, that makes it 7^2 + 7^2 = c^2 and from there 49 + 49 = c^2 and then 98 = c^2. Then go find C, you find the square root of 98 which is 9.899494937 or rounded as 9.9

Keep in mind a^2 + b^2 = c^2 only works for right triangles, it won’t work for any other ones.
3 0
3 years ago
Read 2 more answers
In a statistics class of students, have volunteered for community service in the past. If two students are selected at random fr
Lynna [10]

Answer:

We do not have the total number of students or volunteers.

I will put variables (and then random numbers) and solve it, then you can put the numbers that you need in the equations.

Suppose that the class has Y students, and X of these students have volunteered.

The probability of picking at random a student that has volunteered is equal to the number of students that had volunteered divided by the total amount of students:

p1 = X/Y

now, we must choose another student, but now the volunteers are X - 1, and the total number of students is also Y - 1 (because we already took one student)

now, the probability of selecting other will be:

p2 = (X- 1)/(Y - 1)

Then, the joint probability of both events is equal to the product of both probabilities:

P = p1*p2 = (X/Y)*((X-1)/(Y -1))

Suppose that there are 20 students, and 10 students that have volunteered, then the equations are:

P = (10/20)*(9/19) = 0.237

3 0
3 years ago
Direct stock plans are only offered by brokerage firms? <br> True or False
Hoochie [10]
Answer – False
 Direct stock purchase plans (DSPPs) are not offered by brokerage firms; they are offered by companies. The company may however allow investors to purchase stock either purchase stock directly from the company or through a third party agent. Actually, the greatest advantage of using a DSPP is that it gives investors the ability to avoid paying commissions by not necessarily having to go through brokers <span>
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7 0
3 years ago
Read 2 more answers
A common way for two people to settle a frivolous dispute is to play a game of rock-paper-scissors. In this game, each person si
Leokris [45]

Answer:

(a) P(A) = 0.34

(b) P(B) = 0.33

(c) P(C) = 0.33

(d) The Complement of event A = 1 - P(A) = 0.66

Step-by-step explanation:

We are given that in the long run, roommate A chooses rock 36% of the time, and roommate B chooses rock 22% of the time; roommate A selects paper 32% of the time, and roommate B selects paper 25% of the time; roommate A chooses scissors 32% of the time, and roommate B chooses scissors 53% of the time.

Let the probability that roommate A chooses rock = P(R_A) = 0.36

The probability that roommate A chooses paper = P(P_A) = 0.32

The probability that roommate A chooses scissors = P(S_A) = 0.32

The probability that roommate B chooses rock = P(R_B) = 0.22

The probability that roommate B chooses paper = P(P_B) = 0.25

The probability that roommate B chooses scissors = P(S_B) = 0.53

(a) Let A = event that roommate A wins the game and thus does not have to wash the dishes.

This will happen only when roommate A chooses rock and roommate B chooses scissors or roommate A chooses paper and roommate B chooses rock or roommate A chooses scissors and roommate B chooses paper.

So, P(A) =  P(R_A) \times P(S_B) + P(P_A) \times P(R_B) + P(S_A) \times P(P_B)  

             =  (0.36 \times 0.53) + (0.32 \times 0.22) + (0.32 \times 0.25)  

             =  0.1908 + 0.0704 + 0.08

    P(A)  =  0.34

(b) Let B = event that roommate B wins the game and thus does not have to wash the dishes.

This will happen only when roommate B chooses rock and roommate A chooses scissors or roommate B chooses paper and roommate A chooses rock or roommate B chooses scissors and roommate A chooses paper.

So, P(B) =  P(R_B) \times P(S_A) + P(P_B) \times P(R_A) + P(S_B) \times P(P_A)  

             =  (0.22 \times 0.32) + (0.25 \times 0.36) + (0.53 \times 0.32)  

             =  0.0704 + 0.09 + 0.1696

    P(B)  =  0.33

(c) Let C = event that the game ends in a tie.

This will happen only when roommate A chooses rock and roommate B also chooses rock or roommate A chooses paper and roommate B also chooses paper or roommate A chooses scissors and roommate B also chooses scissors.

So, P(C) =  P(R_A) \times P(R_B) + P(P_A) \times P(P_B) + P(S_A) \times P(S_B)  

             =  (0.36 \times 0.22) + (0.32 \times 0.25) + (0.32 \times 0.53)  

             =  0.0792 + 0.08 + 0.1696

    P(C)  =  0.3288 ≈ 0.33

(d) The complement of event A = P(A') = 1 - P(A)

                                                       = 1 - 0.34 = 0.66.

4 0
3 years ago
The physical plant at the main campus of a large state university receives daily requests to replace fluorescent lightbulbs. The
Nikolay [14]

Answer:

P(62< X< 72)= P(X

Step-by-step explanation:

The empirical rule, also known as three-sigma rule or 68-95-99.7 rule, "is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ)".

Let X the random variable who represent the courtship time (minutes).

From the problem we have the mean and the standard deviation for the random variable X. E(X)=62, Sd(X)=5

So we can assume \mu=62 , \sigma=5

On this case in order to check if the random variable X follows a normal distribution we can use the empirical rule that states the following:

• The probability of obtain values within one deviation from the mean is 0.68

• The probability of obtain values within two deviation's from the mean is 0.95

• The probability of obtain values within three deviation's from the mean is 0.997

So we need values such that

P(X    

P(X>\mu +\sigma)=P(X >67)=0.16  

P(X    

P(X>\mu +2*\sigma)=P(X>72)=0.025

P(X

P(X>\mu +3*\sigma)=P(X>77)=0.0015

For this case we want to find this probability:

P(62 < X< 72)

And we can find this probability on this way:

P(62< X< 72)= P(X

Since P(X>72) =0.025 by the complement rule we have that:

P(X

And P(X because for this case 62 is the mean.

So then we have this:

P(62< X< 72)= P(X

7 0
3 years ago
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