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romanna [79]
3 years ago
8

The number of text messsages that teenagers send per month is normally

Mathematics
1 answer:
ki77a [65]3 years ago
6 0

Answer:

z=\frac{4415-3400}{450}=2.26

And the explanation of this number is:"The number of text messages for Kendra it's 2.26 deviations above the mean"

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) Calculate the z score

Let X the random variable that represent the number of text messages per month, and for this case we know the distribution for X is given by:

X \sim N(3400,450)  

Where \mu=3400 and \sigma=450

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:

z=\frac{4415-3400}{450}=2.26

And the explanation of this number is:"The number of text messages for Kendra it's 2.26 deviations above the mean"

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if the sum of two numbers is four and the sum of their squares minus three times their product is 76, find the numbers
Sauron [17]

Answer:

Numbers =(6,-2 )

Step-by step explanation:

Given

the sum of two numbers is four and the sum of their squares minus three times their product is 76,

Let the first term =X

Second term will be=4-x

So

X^2+(4-x)^2-3x(4-x)=76

x^2+16+x^2-8x-12x+3x^2=76

5x^2-20x+16=76

5x^2-20x-60=0

5(x^2-4x-12)=0

So x^2-4x-12=0

x^2-(6-2)x-12=0

x^2-6x+2x-12=0

X(x-6)+2(x-6)=0

(X-6)(X+2)=0

X=6,-2

Let X=6 and -2 then numbers will be 6 and (4-6)=-2

6 0
3 years ago
A company earns a profit of $100 the first month it is in business. Every month after that, the company earns a profit that is 1
ryzh [129]

Answer:

506.25

Step-by-step explanation:

Month 1: $100

Month 2: 100 times 1.5 = 150

Month 3: 150 times 1.5 = 225

Month 4: 225 times 1.5 = 337.50

Month 5: 337.50 times 1.5 = 506.25

6 0
3 years ago
Which inequality is represented by this graph? 0 - 345> x O 0 -34.5 0 -355 cx​
julia-pushkina [17]

Answer:

Step-by-step explanation:

If x is the white dot on the graph:

From what it looks like, x is right between -35 and -34 x (which is -35.5).

If that is the case then none of the answers are correct since -35.5 is <u>equal or less</u> than x. (the sign looks like this:  "\leq" )

But if you have to choose one of the answers then number 4 (-35.5 < x) would be closest.

8 0
3 years ago
Please help no links!
slavikrds [6]

Answer:

10x5 1/2= 55 x 4= 220 so the answer is 220in3

Step-by-step explanation:

7 0
2 years ago
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kvv77 [185]

Answer:

negative

Step-by-step explanation:

5 0
2 years ago
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