1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
podryga [215]
2 years ago
7

The expression 3xy+12y-5x+7w has how many terms in polynomial ??

Mathematics
2 answers:
bulgar [2K]2 years ago
8 0

Answer:

4

Step-by-step explanation:

xz_007 [3.2K]2 years ago
4 0

Answer:

4

Step-by-step explanation:

There are 4 individual terms in the polynomial:

3xy

12y

-5x

7w

You might be interested in
(2y)^3 without exponents
djyliett [7]
There is no exponents
\
4 0
3 years ago
A selective college would like to have an entering class of 950 students. Because not all students who are offered admission acc
pogonyaev

Answer:

a) The mean is 900 and the standard deviation is 15.

b) 100% probability that at least 800 students accept.

c) 0.05% probability that more than 950 will accept.

d) 94.84% probability that more than 950 will accept

Step-by-step explanation:

We use the normal approximation to the binomial to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

(a) What are the mean and the standard deviation of the number X of students who accept?

n = 1200, p = 0.75. So

E(X) = np = 1200*0.75 = 900

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{1200*0.75*0.25} = 15

The mean is 900 and the standard deviation is 15.

(b) Use the Normal approximation to find the probability that at least 800 students accept.

Using continuity corrections, this is P(X \geq 800 - 0.5) = P(X \geq 799.5), which is 1 subtracted by the pvalue of Z when X = 799.5. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{799.5 - 900}{15}

Z = -6.7

Z = -6.7 has a pvalue of 0.

1 - 0 = 1

100% probability that at least 800 students accept.

(c) The college does not want more than 950 students. What is the probability that more than 950 will accept?

Using continuity corrections, this is P(X \geq 950 - 0.5) = P(X \geq 949.5), which is 1 subtracted by the pvalue of Z when X = 949.5. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{949.5 - 900}{15}

Z = 3.3

Z = 3.3 has a pvalue of 0.9995

1 - 0.9995 = 0.0005

0.05% probability that more than 950 will accept.

(d) If the college decides to increase the number of admission offers to 1300, what is the probability that more than 950 will accept?

Now n = 1300. So

E(X) = np = 1300*0.75 = 975

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{1200*0.75*0.25} = 15.6

Same logic as c.

Z = \frac{X - \mu}{\sigma}

Z = \frac{949.5 - 975}{15.6}

Z = -1.63

Z = -1.63 has a pvalue of 0.0516

1 - 0.0516 = 0.9484

94.84% probability that more than 950 will accept

5 0
3 years ago
50 PTS BRAINLIEST
Montano1993 [528]

Answer:

it has 5 hopefully this helps you with work

4 0
2 years ago
Read 2 more answers
A bakery sells a pack of peanut butter cookies for $3 and a
Westkost [7]
F(x,y) =3x + 5y (hope this helps )
5 0
3 years ago
When i double my number and add eight i get my number plus twelve whats mynumber
ella [17]
(Put what the first number is) x (the previous number) + 8 + 12 = ?
5 0
3 years ago
Other questions:
  • What is the answer for p=0.007y+3.04
    5·1 answer
  • Please help me with this I really need my grade up
    15·1 answer
  • Based on the pattern, what are the next two terms of the sequence?<br> 2, 5, 8, 11, . . .?
    14·2 answers
  • A cyclist rides his bike at a rate of 15 miles per hour. What is this rate in miles per minute? How many miles will the cyclist
    13·1 answer
  • Convert the following into mm 465cm =
    10·1 answer
  • Hi can anybody tell me the answerplease
    14·2 answers
  • Evaluate each expression if w=2, x=3, y=5, and z=6. 3+4z
    6·1 answer
  • 7 is 70% of what number
    13·2 answers
  • 24 &gt; 6 + 3y = ____<br><br> image of question included
    15·2 answers
  • A quadrilateral has angles that measure 115, 97, and 68. What is the measure of the missing angle?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!