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dalvyx [7]
3 years ago
12

PLEASE HELP! SUPER STUCK!!!

Mathematics
1 answer:
Anastasy [175]3 years ago
3 0

Answer:

The graphed function is Nonlinear

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An instructor who taught two sections of engineering statistics last term, the first with 25 students and the second with 35, de
Amiraneli [1.4K]

Answer:

a) P=0.1721

b) P=0.3528

c) P=0.3981

Step-by-step explanation:

This sampling can be modeled by a binominal distribution where p is the probability of a project to belong to the first section and q the probability of belonging to the second section.

a) In this case we have a sample size of n=15.

The value of p is p=25/(25+35)=0.4167 and q=1-0.4167=0.5833.

The probability of having exactly 10 projects for the second section is equal to having exactly 5 projects of the first section.

This probability can be calculated as:

P=\frac{n!}{(n-k)!k!}p^kq^{n-k}= \frac{15!}{(10)!5!}\cdot 0.4167^5\cdot0.5833^{10}=0.1721

b) To have at least 10 projects from the 2nd section, means we have at most 5 projects for the first section. In this case, we have to calculate the probability for k=0 (every project belongs to the 2nd section), k=1, k=2, k=3, k=4 and k=5.

We apply the same formula but as a sum:

P(k\leq5)=\sum_{k=0}^{5}\frac{n!}{(n-k)!k!}p^kq^{n-k}

Then we have:

P(k=0)=0.0003\\P(k=1)=0.0033\\P(k=2)=0.0165\\P(k=3)=0.0511\\P(k=4)=0.1095\\P(k=5)=0.1721\\\\P(k\leq5)=0.0003+0.0033+0.0165+0.0511+0.1095+0.1721=0.3528

c) In this case, we have the sum of the probability that k is equal or less than 5, and the probability tha k is 10 or more (10 or more projects belonging to the 1st section).

The first (k less or equal to 5) is already calculated.

We have to calculate for k equal to 10 or more.

P(k\geq10)=\sum_{k=10}^{15}\frac{n!}{(n-k)!k!}p^kq^{n-k}

Then we have

P(k=10)=0.0320\\P(k=11)=0.0104\\P(k=12)=0.0025\\P(k=13)=0.0004\\P(k=14)=0.0000\\P(k=15)=0.0000\\\\P(k\geq10)=0.032+0.0104+0.0025+0.0004+0+0=0.0453

The sum of the probabilities is

P(k\leq5)+P(k\geq10)=0.3528+0.0453=0.3981

8 0
3 years ago
a discounted concert ticket costs $14.50 less than the original price p.You pay $53 for a discounted ticket.Write an equation th
Ahat [919]

Answer:

$53.00 + $14.50

= 67.50

Make sure to leave a good review if it helped you

-Adan


7 0
3 years ago
What is the value of 36x – 8y2 when x = 3 and y = –6?
maxonik [38]

Answer:

= -180

Step-by-step explanation:

6 0
3 years ago
Farmers Bob ,Joe and Larry sold apples at the farmers market .Bob sold 86 apples .Joe sold 12 times as many as Bob .Larry sold h
kotykmax [81]

Answer:

Altogether they sell <u>1634</u> apples.

Step-by-step explanation:

GIven:

Bob, Joe and Larry sold apples at the farmers market.

<u><em>Bob sold 86 apples. </em></u>

<u><em>Joe sold 12 times as many as Bob. </em></u>

<u><em>Larry sold half as many apples as Joe. </em></u>

Now, to find the total apples Bob, Joe and Larry they all sell together.

<u>Number of apples Bob sold</u> = 86.

<u>Number of apples Joe sold</u> = 12 times of 86.

=12\times 86\\\\=1032.

<u>Number of apples Larry sold</u> = \frac{1}{2}\ of\ 1032

=\frac{1}{2} \times 1032

=516.

Now, to get the apples they sell altogether we add the number of apples sold by Bob, by Joe and by Larry:

86+1032+516

=1634.

Therefore, altogether they sell 1634 apples.

7 0
3 years ago
Consider the division expression 7 ½ ÷ 2. Select all multiplication equations that correspond to this division expression.
Firlakuza [10]

Answer:

i dunno

Step-by-step explanation:

but i need the points to ask questions

4 0
3 years ago
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