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WINSTONCH [101]
3 years ago
12

Calculate the mean, median, mode, and midrange of this quiz distribution and explain whether the distribution is skewed to the l

eft or to the right.
a.
Mean = 9, median = 8.2, mode = 7, midrange = 9; skewed to the left.
b.
Mean = 8.2, median = 9, mode = 9, midrange = 7; skewed to the left.
c.
Mean = 8.2, median = 9, mode = 9, midrange = 7; skewed to the right.
d.
Mean = 9, median = 8.2, mode = 7, midrange = 9; skewed to the right.
Mathematics
2 answers:
Elina [12.6K]3 years ago
7 0

Answer:

B). Mean = 8.2, median = 9, mode = 9, midrange = 7; skewed to the left

Step-by-step explanation:

Inessa [10]3 years ago
5 0

Answer:

B

Step-by-step explanation:

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What are the remaining angle measures if the figure is to be a parallelogram?
goldfiish [28.3K]

The correct answer is  

m∠B ==101°,

m∠C =79°,

m∠D=101°

Step-by-step explanation:

  • As we know that, it is a parallelogram opposite angels are congruent
  • Therefore,  m∠A = m∠C and m∠B =m∠B
  • As we know that, If side a=79 then side c must also be equal to 79
  • When we consider all the angles and add them it must be equal to 360°
  • When we add 79+79 = 158°, which mean a=c= 158°
  • By subtracting all the sides of parallelogram which is 360- 158= 202°
  • If we divide it by 2 then we will get the value of the other side of the angle which is  b and d.
  • Dividing 202 by 2
  • \frac{202}{2} = 101°
  • Therefore, the value of b=d=101°
  • A Parallelogram is a flat shape with an opposite sides parallel and they are equal in length.
  • A parallelogram has four sides, and the opposite sides are parallel and they don't intersect.
3 0
3 years ago
Read 2 more answers
Write the general solution to y=arcsin 0.9659
Ghella [55]
<span>You are given the function of y=arcsin 0.9659 and you are asked to find the general solution of the function. In order to do that, you have to derive the given function. the answer would be 1/sqrt(1.035^2 + x^2)</span>
4 0
3 years ago
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(g o f)(6)
Doss [256]

Step-by-step explanation:

A. gof=g(f(x))

= g(f(6))

=6×6

36

7 0
3 years ago
Read 2 more answers
It's a little blurry sorry please help
Ghella [55]

<u>Answer:</u>

It's X=2

<u>Working out:</u>

<u>(left one):</u>

2(x+3)=10

2x+6=10

2x=10-6

2x=4

x=2

Working out:

(right one):

2(x+3) must be all divided by 2 so it will be x+3 and same for 10, it will be 5 so...

x+3=5

x=5-3

x=2

Hope it helps ^---^

3 0
3 years ago
Read 2 more answers
USA Today reports that about 25% of all prison parolees become repeat offenders. Alice is a social worker whose job is to counse
pychu [463]

Answer:

a) P(X=0)=(4C0)(0.75)^0 (1-0.75)^{4-0}=0.0039  

P(X=1)=(4C1)(0.75)^1 (1-0.75)^{4-1}=0.0469  

P(X=2)=(4C2)(0.75)^2 (1-0.75)^{4-2}=0.211  

P(X=3)=(4C3)(0.75)^2 (1-0.75)^{4-3}=0.422  

P(X=4)=(4C4)(0.75)^2 (1-0.75)^{4-4}=0.316

b) E(X) = np = 4*0.75=3

c) Sd(X) =\sqrt{np(1-p)}=\sqrt{4*0.75*(1-0.75)}=0.866

d) P(X \geq 3) \geq 0.98

And the dsitribution that satisfy this is X\sim Binom(n=9,p=0.75

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=4, p=1-0.25=0.75)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

Part a

P(X=0)=(4C0)(0.75)^0 (1-0.75)^{4-0}=0.0039  

P(X=1)=(4C1)(0.75)^1 (1-0.75)^{4-1}=0.0469  

P(X=2)=(4C2)(0.75)^2 (1-0.75)^{4-2}=0.211  

P(X=3)=(4C3)(0.75)^2 (1-0.75)^{4-3}=0.422  

P(X=4)=(4C4)(0.75)^2 (1-0.75)^{4-4}=0.316

Part b

The expected value is givn by:

E(X) = np = 4*0.75=3

Part c

For the standard deviation we have this:

Sd(X) =\sqrt{np(1-p)}=\sqrt{4*0.75*(1-0.75)}=0.866

Part d

For this case the sample size needs to be higher or equal to 9. Since we need a value such that:

P(X \geq 3) \geq 0.98

And the dsitribution that satisfy this is X\sim Binom(n=9,p=0.75

We can verify this using the following code:

"=1-BINOM.DIST(3,9,0.75,TRUE)" and we got 0.99 and the condition is satisfied.

4 0
3 years ago
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