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Vesna [10]
2 years ago
5

What is 4 (x+7) + 7 (x+7)

Mathematics
1 answer:
kakasveta [241]2 years ago
4 0
The answer is 11x + 7
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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
4 5/6+3/5= my daughter is needing help she's in the 5th grade
V125BC [204]

Answer:5 13/30

Step-by-step explanation:

4+5/6 + 3/5

5/6 +3/5

Find LCD of 5/6 and 3/5

25/30 + 18/30

43/30= 1 13/30

4+1+13/30= 5 13/30

7 0
3 years ago
Read 2 more answers
Find two numbers whose sum is 9 and whose difference is -1
faltersainse [42]

Answer:

4 and 5

Step-by-step explanation:

Make a system of equations:

x+y=9

x-y=-1

x=9-y

9-y-y=-1

9-2y=-1

-2y=-10

y=5

Since y=5, x must be 4 since 4+5=9 and 4-5=-1

Hope this helped!

4 0
3 years ago
Read 2 more answers
Find f(-3) for (x) = -2x + 5
valentina_108 [34]

Answer:

11

Step-by-step explanation:

x = -3

Substitute -3 with x

________________________

* = Multiplying

(-2*-3) + 5

= 6 + 5

= 11

3 0
2 years ago
20 points + brainliest = 30 points!
riadik2000 [5.3K]

Answer:

see below

Step-by-step explanation:

Addition and subtraction are both closed under polynomials.

That means that when we add and subtract polynomials, we will end up with a polynomial

f(x) + g(x) will =  always be a polynomial when we start with polynomials

f(x) - g(x) will =  always be a polynomial when we start with polynomials

7 0
3 years ago
Read 2 more answers
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