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antoniya [11.8K]
3 years ago
5

Value of this pronumeral

Mathematics
1 answer:
STatiana [176]3 years ago
4 0
90+80+90+x=360
260+x=360
x=100
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NEED ANSWER ASAP!! TYYY SO MUCH IN ADVANCE
Kipish [7]

Answer:

24.84

Step-by-step explanation:

use Pythagoras theorem

h=√p²+b² = √(19)²+(16)² = √617 =24.84

4 0
3 years ago
2x+2y= 24 <br> x=3y <br> What is the value of x+y?
natita [175]

Answer:

x = 9

y = 3

Step-by-step explanation:

2x + 2y = 24 is the same as x + y = 12

using substitution, x = 12-y

12 - y = 3y

12 = 4y

y = 3

x = 3(3)

x = 9

5 0
3 years ago
Which of the following rotational symmetry is applied to the regular not​
olya-2409 [2.1K]

9514 1404 393

Answer:

  • yes
  • yes

Step-by-step explanation:

A regular nonagon has vertices that are 360°/9 = 40° apart. Any rotation by a multiple of 40° will make the figure indistinguishable from the original.

Rotational symmetry of 40° applies.

Rotational symmetry of 200° applies.

6 0
2 years ago
A small business owner estimates his mean daily profit as $970 with a standard deviation of $129. His shop is open 102 days a ye
Katena32 [7]

Answer:

The probability that the shopkeeper's annual profit will not exceed $100,000 is 0.2090.

Step-by-step explanation:

According to the Central Limit Theorem if we have a population with mean <em>μ</em> and standard deviation <em>σ</em> and we select appropriately huge random samples (<em>n</em> ≥ 30) from the population with replacement, then the distribution of the sum of values of <em>X</em>, i.e ∑<em>X</em>, will be approximately normally distributed.  

Then, the mean of the distribution of the sum of values of X is given by,  

 \mu_{x}=n\mu

And the standard deviation of the distribution of the sum of values of X is given by,  

 \sigma_{x}=\sqrt{n}\sigma

The information provided is:

<em>μ</em> = $970

<em>σ</em> = $129

<em>n</em> = 102

Since the sample size is quite large, i.e. <em>n</em> = 102 > 30, the Central Limit Theorem can be used to approximate the distribution of the shopkeeper's annual profit.

Then,

\sum X\sim N(\mu_{x}=98940,\ \sigma_{x}=1302.84)

Compute the probability that the shopkeeper's annual profit will not exceed $100,000 as follows:

P (\sum X \leq  100,000) =P(\frac{\sum X-\mu_{x}}{\sigma_{x}}

                              =P(Z

*Use a <em>z</em>-table for the probability.

Thus, the probability that the shopkeeper's annual profit will not exceed $100,000 is 0.2090.

6 0
3 years ago
Your digital camera printer printed 5 pictures in 7.5 minutes. At, this rate, how long will it take to print 18 pictures?
qwelly [4]
It would take 27 minutes to print 18 pictures
6 0
3 years ago
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