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ruslelena [56]
4 years ago
6

Given random variable x is normally distributed, with a mean of 10 and standard deviation of 5, what is the probability that x i

s less than 11?
Mathematics
1 answer:
Maslowich4 years ago
3 0
Standard z score =  (11 - 10 ) / 5 = 0.2

From the tables the probability = 0.0793  = 7.93%
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Jamarius buys T-shirts for $6 each and marks up the price by 45%. How much profit does Jamarius make from each T-shirt sold?
3241004551 [841]

Answer:

$2.70

Step-by-step explanation:

To add 45 percent to the original price you do 100%+45%=145%=1.45

times 1.45  by the original price.

Then take away the original price from the answer you just got.

$1.45×$6=$8.70

$8.70-$6=$2.70

6 0
3 years ago
What is the additive inverse of -2 + 8i?
tatuchka [14]

Answer:

2 - 8i

Step-by-step explanation:

The additive inverse of something is basically the opposite of it. Another way to say this is that when you add the additive inverse to -2 + 8i, it will equal 0.

<u>An example:</u>

The additive inverse of 7 is -7 because not only is it the opposite, but also when you add 7 and -7, it equals 0.

<u>To solve</u>

So all you need to do is find the opposite of -2 + 8i. You can write it as:

-(-2 + 8i)  With the negative in the front because we want to find the opposite.

This then equals:

2 - 8i

You can check your answer by adding -2 + 8i and 2 - 8i to see if it equals 0:

(-2 + 8i) + (2 - 8i)  →  and it does equal 0

<u>ANSWER:</u> 2 - 8i

Hope you understand and that this helps with your question! :)

8 0
3 years ago
Expand the binomial (2x^2+y^2)^4. Fill in the missing coefficients in the expansion of the binomial .
Jobisdone [24]
Expanding (2x² + y²)⁴ with Pascal triangle or using binomial theorem gives:

(2x² + y²)⁴ = 16x⁸ + 32x⁶y² + 24x⁴y⁴ + 8x²y⁶ + y⁸


5 0
3 years ago
The area of circle B is 121 times greater than the area of circle A. The radius of circle B is 44. What is the radius of circle
xxMikexx [17]
<em>Formula:</em>
\bigg( \dfrac{radius_1}{radius_2} \bigg)^2 =  \dfrac{area_1}{area_2}

<em>Plug in the values:</em>
\bigg( \dfrac{r}{44} \bigg)^2 = \dfrac{1}{121}

<em>Simplify LHS:</em>
\dfrac{r^2}{1936}  = \dfrac{1}{121}

<em>Multiply by 1936 on both sides:</em>
r^2  = \dfrac{1936}{121}&#10;

<em>Simplify RHS:</em>
r^2 = 16

<em>Square root both sides:</em>
r = 4

Answer: The radius is 4 units. (Answer B)
5 0
3 years ago
Marathon Hours,Miles 0,0; 1,6; 2,11; 3,15; 4,21; 5,26.2. Cayla ran a marathon. The table shows which mile Cayla had finished at
stiv31 [10]
The answer would be B) 4mph
5 0
3 years ago
Read 2 more answers
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