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Agata [3.3K]
3 years ago
5

I NEED HELP WITH (33) B,C,D

Mathematics
1 answer:
Anna35 [415]3 years ago
7 0

Answer:

what are the answer choices?

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Please help me asap!!!!! Worth 20 points
jeka57 [31]

Answer:

Step-by-step explanation

Third, second, first.

The third has 5% chance that it will get the investor its money back, second having a 34% of the investor getting its money back, and the first having a 54% chance. Hope this was quick enough for you!

8 0
1 year ago
Read 2 more answers
What is the solution of the system of equations?<br><br> y=56x+1<br> −x+y=2
Rzqust [24]

-x+y=2
y=2+x

2+x=56x+1
x=56x-1
-55x=-1
x=0.181
8 0
3 years ago
You deposit 10,000 into a savings account that compounds quarterly. The account has an interest rate of 3.7%. What would be the
Vadim26 [7]

Answer:

30189.155

Step-by-step explanation:

Recall the compound interest formula :

A = P(1 + r/n)^nt

P = principal = 10000

r = rate = 3.7% = 0.037

n = quarterly = 4

t = 30

A = 10000(1 + 0.037/4)^30*4

A = 10000(1 + 0.00925) ^120

A = 10000(1.00925)^120

A = 10000 * 3.0189155

A = 30189.155

3 0
3 years ago
Write the equation of an ellipse with vertices at (7, 0) and (-7, 0) and co-vertices at (0, 1) and (0, -1).
Irina-Kira [14]

Answer:

\frac{(x)^{2}}{49}+\frac{(y)^{2}}{1}=1

Step-by-step explanation:

In this problem we have a horizontal ellipse, because the major axis is the x-axis

The equation of a horizontal ellipse is equal to

\frac{(x-h)^{2}}{a^{2}}+\frac{(y-k)^{2}}{b^{2}} =1

where

(h,k) is the center of the ellipse

a and b  are the respective vertices distances from center

we have

vertices at (7, 0) and (-7, 0)

co-vertices at (0, 1) and (0, -1)

so

The center is the origin (0.0) (The center is the midpoint of the vertices)

a=7

b=1

substitute

\frac{(x-0)^{2}}{7^{2}}+\frac{(y-0)^{2}}{1^{2}}=1

\frac{(x)^{2}}{49}+\frac{(y)^{2}}{1}=1

8 0
3 years ago
A survey reports that 67% of college students prefer to drink more coffee during the exams week. If we randomly select 80 colleg
Akimi4 [234]

Answer:

The probability that at most 50 say that they drink coffee during exam week is 0.166.

Step-by-step explanation:

The random variable <em>X</em> can be defined as the number of college students who prefer to drink more coffee during the exams week.

The probability of the random variable <em>X</em> is <em>p</em> = 0.67.

A random sample of <em>n</em> = 80 college students are selected.

The response of every students is independent of the others.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 80 and <em>p</em> = 0.67.

But the sample selected is too large and the probability of success is close to 0.50.

So a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:

  1. np ≥ 10
  2. n(1 - p) ≥ 10

Check the conditions as follows:

np=80\times 0.67=53.6>10\\n(1-p)=80\times (1-0.67)=26.4>10

Thus, a Normal approximation to binomial can be applied.

X\sim N(np, np(1-p))

The mean of the distribution of <em>X</em> is:

\mu=np=80\times 0.67=53.6

The standard deviation of the distribution of <em>X</em> is:

\sigma=\sqrt{np(1-p)}=\sqrt{80\times 0.67\times (1-0.67)}=4.206

A Normal distribution is a continuous distribution. So, the probability at a point cannot be computed for the Normal distribution. To compute the probability at a point we need to apply the continuity correction.

Compute the probability that at most 50 say that they drink coffee during exam week as follows:

Apply continuity correction:

P(X\leq 50)=P(X

                 =P(X

*Use a <em>z</em>-table for the probability.

Thus, the probability that at most 50 say that they drink coffee during exam week is 0.166.

5 0
3 years ago
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