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schepotkina [342]
3 years ago
10

Please help FAST (and no sites >:()

Mathematics
2 answers:
Norma-Jean [14]3 years ago
7 0

Answer:

Option D

Step-by-step explanation:

Option D,

4(1/2) + (1/4)2 =

(4/8) + (2/8) =

6/8

LekaFEV [45]3 years ago
3 0

Answer:

your answer is D. 6/8 hope this helps you

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Suppose the heights of a population of people are normally distributed with a mean of 65.5 inches and a standard deviation of 2.
kupik [55]

Answer:

a) P(64.2

b) 69.764

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

2) Part a

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

X \sim N(65.5,2.6)

Where \mu=65.5 and \sigma=2.6

We are interested on this probability

P(64.2

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(64.2

And we can find this probability on this way:

P(-0.50

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.

P(-0.50

3) Part b

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.05   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.95 of the area on the left and 0.05 of the area on the right it's z=1.64. On this case P(Z<1.64)=0.95 and P(z>1.64)=0.05

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=1.64

And if we solve for a we got

a=65.5 +1.64*2.6=69.764

So the value of height that separates the bottom 95% of data from the top 5% is 69.764.

5 0
3 years ago
The values 10 and 15 are plotted on the number line
Brums [2.3K]

im pretty sure the answer is 0.7

4 0
3 years ago
Read 2 more answers
The original price of a computer game is 45$ The price is marked down by 18$ what percent of the original price is the markdown?
OLga [1]

Answer:

$27

Step-by-step explanation:

$45 - $18 = $27

Percentage 150% (27 divided by 18 = 1.5, shift the decimal right two times and add the zero at the end which gives you 150%)

4 0
2 years ago
How could you solve this problem?
Rudiy27
I do A and B but that is the way I learned it. Hope this helps :)
7 0
3 years ago
Read 2 more answers
Write the decimal equivalent.(decimal)(decimal)100
NISA [10]
If im not mistake i think 1/2 is 0.5 but im not sure about the other one 

3 0
3 years ago
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