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Gala2k [10]
3 years ago
7

In a student council executive board election, Aaron and Bonnie are running for president; Clarissa, Devon, and Edward are runni

ng for vice president; and Francine and Gary are running for treasurer. If these are the only candidates, the only offices, and there are no ties, how many different executive boards are possibe?
F. 6
G. 7
H. 12
J. 14
K. 21
Mathematics
1 answer:
goldfiish [28.3K]3 years ago
3 0

Answer: 21


Step-by-step explanation:

there are 7 poeple running total, and 3 election let's just say

take 7*3

that's 21

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lesantik [10]
60 miles in 4 hours.
8 0
3 years ago
Determine the intercepts of the line.<br> y-intercept (____,____)<br> x-intercept (____,____)
bija089 [108]

Answer:

y intercept is  (0 , 2.5)

x intercept is (3.5 , 0)

Step-by-step explanation:

Khan Academy is fun !!!!!!!!!!

y- intercept is where the line meets the y line    l

x- intercept is where the line meets the x line   ____

The y-intercept is 2.5

The x-intercept is 3.5

3 0
2 years ago
At a certain auto parts manufacturer, the Quality Control division has determined that one of the machines produces defective pa
11Alexandr11 [23.1K]

Answer:

Probability that fewer than 2 of these parts are defective is 0.604.

Step-by-step explanation:

We are given that at a certain auto parts manufacturer, the Quality Control division has determined that one of the machines produces defective parts 19% of the time.

A random sample of 7 parts produced by this machine is chosen.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 7 parts

            r = number of success = fewer than 2

           p = probability of success which in our question is % of defective

                 parts produced by one of the machine, i.e; 19%

<em>LET X = Number of parts that are defective</em>

<u>So, it means X ~ Binom(n = 7, p = 0.19)</u>

Now, probability that fewer than 2 of these parts are defective is given by = P(X < 2)

    P(X < 2) = P(X = 0) + P(X = 1)

                  =  \binom{7}{0}\times 0.19^{0} \times (1-0.19)^{7-0}+ \binom{7}{1}\times 0.19^{1} \times (1-0.19)^{7-1}

                  =  1 \times 1 \times 0.81^{7} +7 \times 01.9^{1} \times 0.81^{6}

                  =  <u>0.604</u>

<em>Therefore, the probability that fewer than 2 of these parts are defective is 0.604.</em>

8 0
2 years ago
A performer in a circus is fired from a cannon as a ``human cannonball'' and leaves the cannon with a speed of 16.4 m/s. The per
ladessa [460]

Answer:

1195.22N.

Step-by-step explanation:

Mass: m =82.6 kg

Velocity: v= 16.4m/sec.

Distance: d = 9.29 metres.

Acceleration = (v²/2d) = (16.4²/18.58) = 14.47m/sec².

Force = (mass x acceleration) = (82.6 x 14.47) = 1195.22N.

3 0
2 years ago
Jamil pays $20.00 for dinner. He decides to leave a 15% tip on top. How much should he pay in total
Helga [31]

Answer:

$23.00

Step-by-step explanation:

The tip amount is $3.00, but the total is $23.00

6 0
3 years ago
Read 2 more answers
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