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sweet [91]
3 years ago
11

Solve the function operations problem

Mathematics
1 answer:
madreJ [45]3 years ago
6 0
I can solve it for you if you’re still there
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Americans receive an average of 20 Christmas cards each year. Suppose the number of Christmas cards is normally distributed with
soldier1979 [14.2K]

The distribution of X is X ~ N (20 , 6) and the probability that this American will receive no more than 24 Christmas cards this year is 0.7486.

<h3>Probability</h3>

a. Distribution

X ~ N (20 , 6)

b. P(x ≤24)

= P[(x - μ ) / σ  (24 - 20) / 6]

= P(z  ≤0.67)

=  0.74857

=0.7486

Hence:

Probability = 0.7486

c. P(21 < x < 26)

= P[(21 - 26)/ 6) < (x - μ  ) / σ   < (24 - 20) / 6) ]

= P(-0.83 < z < 0.67)

= P(z < 0.67) - P(z < -0.)

=  0.74857- 0.2033

= 0.54527

Hence:

Probability =0.54527

d. Using standard normal table ,

P(Z < z) = 66%

P(Z < 0.50) = 0.66

z = 0.50

Using z-score formula,

x = z×  σ +  μ

x = 0.50 × 6 + 20 = 23

23 Christmas cards

Therefore the distribution of X is X ~ N (20 , 6) and the probability that this American will receive no more than 24 Christmas cards this year is 0.7486.

Learn more about probability here:brainly.com/question/24756209

#SPJ1

8 0
2 years ago
What should be the b-value in the equation shown below if the equation is a perfect square trinomial?
masha68 [24]

Answer:

B=10

Step-by-step explanation:

It's a perfect square of equation ax²+2abx+b²

I'm the given equation a is 1 and b is 5 so 2(a)(b)=2(1)(5)=10

(ps: when I say b in the explanation I mean another b not the one in question as to not be confused)

4 0
2 years ago
4 people are going to a dinner party. Each person at
vladimir2022 [97]

Answer:

92 pounds

Step-by-step explanation:

Here is the complete question ;

4 people are going to a dinner party. Each person at the party will eat 23 pound of cake. If you can only buy whole pounds of cake, how many pounds should you buy?

total pounds to be bought = number of people at the party x total pounds they would eat

4 x 23 = 92 pounds

7 0
3 years ago
Simplify. <br> Cos ^-1 (square root 3/2
bogdanovich [222]
Hello,

As
cos(30)=sin(60)=\dfrac{\sqrt{3} }{2}\\\\&#10;&#10;cos^{-1}(\dfrac{ \sqrt{3} }{2})&#10;

=π/6+2kπ or -π/6+2kπ
4 0
3 years ago
11/2-2/3 help me plz
Jet001 [13]

4.83

answer above answer above answer above

5 0
2 years ago
Read 2 more answers
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