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Alik [6]
2 years ago
10

Simplify 4a²+1/3a+5+a²+4+1/3a

Mathematics
1 answer:
vladimir2022 [97]2 years ago
7 0

Answer:

5a^2+\frac{2a}{3} + 9

Step-by-step explanation:

Refer to file. Trying something different. Should be easier to read than text format and is easier than mathML.

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In a pizza takeout restaurant, the following probability distribution was obtained for the number of toppings ordered on a large
Elis [28]

Answer:

The random variable (number of toppings ordered on a large pizza) has a mean of 1.14 and a standard deviation of 1.04.

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>The probability distribution is:</em>

<em>x   P(x) </em>

<em> 0   0.30 </em>

<em>1    0.40 </em>

<em>2   0.20 </em>

<em>3   0.06 </em>

<em>4   0.04</em>

The mean can be calculated as:

M=\sum p_iX_i=0.3\cdot 0+0.4\cdot 1+0.2\cdot 2+0.06\cdot 3+0.04\cdot 4\\\\M=0+0.4+0.4+0.18+0.16\\\\M=1.14

(pi is the probability of each class, Xi is the number of topping in each class)

The standard deviation is calculated as:

s=\sqrt{\sum p_i(X_i-M)^2}\\\\s=\sqrt{0.3(0-1.14)^2+0.4(1-1.14)^2+0.2(2-1.14)^2+0.06(3-1.14)^2+0.04(4-1.14)^2}\\\\s=\sqrt{0.3(-1.14)^2+0.4(-0.14)^2+0.2(0.86)^2+0.06(1.86)^2+0.04(2.86)^2}\\\\ s=\sqrt{0.3(1.2996)+0.4(0.0196)+0.2(0.7396)+0.06(3.4596)+0.04(8.1796)}\\\\s=\sqrt{0.3899+0.0078+0.1479+0.2076+0.3272}\\\\ s=\sqrt{ 1.0804 }\\\\s\approx 1.04

3 0
3 years ago
For friends went to a restaurant in bought Two large pizzas and if each pay 5.25 how much was each pizza
guajiro [1.7K]

Answer:

$10.5

Step-by-step explanation:

4(5.25) = $21 (total amount of money spent)

we want to divide that by 2 because we want to find the cost of one pizza

21/2 = $10.5

8 0
3 years ago
In the diagram of circle C, what is the measure of 21?
kondaur [170]

Answer:

If I know what diagram you're referring to, which I believe I do, the answer is: ∠1=(1/2)[106°-36°]=35°

4 0
3 years ago
What is the opposite of 3.75 on a number line?​
vodomira [7]

Answer:

-3.75

Step-by-step explanation:

the opposite changes the sign from positive to negative, so the opposite of 3.75 would be -3.75

5 0
3 years ago
Read 2 more answers
A high school has a total of 850 students. there are 60 more female students than there are make students?
Mrac [35]
Hey. Let me help you on this one.

Let's break this problem down so it's easier for us to comprehend it.

There are 850 students in the school, and the amount of female students equals to the amount of male students + sixty additional females.

Amount of students in school = 850 students

Male students = X

Female students = X+60

Let's form an equation so we can work with what we have.

X+(X+60)=850

Subtract 60 from both sides.

X+X=790

Simplify

2X=790

Divide both sides by 2.

X=395

Answer: There are 395 male students, and 455 female students.

3 0
3 years ago
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