A theater needs to place seats in rows. The function, f(r) as shown below can be used to determine the number of seats in each row, where r is the row number.f(1) = 8
f(r) = f(r – 1) + 3
Use the function to complete the table indicating the number of seats in each row for the first four rows of the theater.

Answers

Answer 1

Answer: The row counts start at eight and count up by three:

$f(1)=8$
$f(2)=f(2-1)+3=f(1)+3=8+3=11$
$f(3)=f(3-1)+3=f(2)+3=11+3=14$
$f(4)=f(4-1)+3=f(3)+3=14+3=17$
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and so on.

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A hypothesis will be used to test that a population mean equals 10 against the alternative that the population mean is more than 10 with known Ï. What is the critical value of z-score for the following significance levels?A) 0.01
B) 0.05
C) 0.10

Answers

Answer:

A) 2.58

B) 1.96

C) 1.65

Step-by-step explanation:

A hypothesis used to test that

$H_o : \mu = 10$

against the alternatives $H1 : \mu$ not equal to 10

if null hypothesis is true, then distribution of test statics follow

$Zo = (\bar x - \mu)/((\sigma)/(√(n)))$

for two sided alternatives hypothesis $( H1: \mu \neq 7)$ , then P value is

$P = 2[1- \phi(\left | Zc \right |)]$ (1)

a)significance level $\alpha = 0.01$

from 1 eq we get

$\pi (\left | Zc \right |) = P(Zo<\left | Zc \right |) = 1 - (0.01)/(2) = 0.995$

Therefore $\left | Zc \right | = 2.58$ FROM Z TABLE

B) significance level $\alpha = 0.05$

from 1st equation we get

$\pi (\left | Zc \right |) = P(Zo < \left | Zc \right |) = 1 - (0.05)/(2) = 0.975$

Therefore $\left | Zc \right | = 1.96$ FROM Z TABLE

C) significance level $\alpha = 0.10$

from 1 eq we get

$\pi (\left | Zc \right |) = P(Zo<\left | Zc \right |) = 1 - (0.10)/(2) = 0.95$

Therefore $\left | Zc \right | = 1.65$ FROM Z TABLE

Select the correct product of (a + 8)(b + 3)A) ab + 8a + 3b + 24
B) ab + 3a + 8b + 24
C) 11ab
D) 24ab

Answers

) ab + 8a + 3b + 24the correct product of (a + 8)(b + 3)

Answer:

Step-by-step explanation:

If you buy 10 printers for your office and each printer costs $199, what is your cost for all 10?

Answers

$1990 is the total amount. That is not including the tax you pay

Answer:

$1900 for pf students

Step-by-step explanation:

Penn foster ☺️☺️‍

Please help this is due in an hour

Answers

Answer:

B: Not proportional

Step-by-step explanation:

This wouldn't be proportional because for you, you are making 22 heartbeats in 20 seconds and 22-20 is 2. But if you look at your friend, he/she is doing 18 heartbeats in 15 seconds so add 5 so that 23 heartbeats is happening in 20 seconds and 23-20 is 3. If we compare, 3 is not the same as 2 making it not proportional.

Answer:

Not proportional

Step-by-step explanation:

22/20 does not equal 18/15.

Josiah and his friends are going to the movies. Each ticket costs $10, and popcorn is $5 a bag. There is a $3 service fee for the entire purchase. He has $75. If he buys 4 tickets, how many bags of popcorn can he buy? if x=number of tickets and y=number of popcorn which of the following inequalities would you use to answer the problem?A x+y=75
B 10x+5y+3≤75
C 10x+5y≤75
D 10x+5y+3≥75

Answers

Answer:

Step-by-step explanation:

If each ticket costs $10 and each popcorn costs $5, with x = number of tickets and y = number of popcorn and $3 the service we have

10x+5y+3 = total cost.

Now, he has a total of $75 and he buys 4 tickets so

10(4)+5y+3 = 75

40+5y+3 = 75

43+5y=75

5y = 75-43

5y = 32

y = 32/5 = 6.4 ≈ 6 popcorn.

Then, he can buy 6 popcorns. Now, to find the inequality we need to know that if he has $75, the total cost can't exceed $75, that is, the total cost needs to be less or equal to $75.

10x+5y+3 ≤75.

B
Because if x equals the number of tickets the it would be 10 X x. Same with the popcorn. for example: x=5 And y =3. it would be
10(5)+5(3)+3=$68

Which of the following is the radical expression of a to the four ninths power ?

Answers

first if a>0 sqrta=a^(1/2), and (a^p)^q=a^pxq

sqrt(a^4/9)= (a^4/9)^1/2=a^4/9x1/2=a^(2/9)
so the answer is a^(2/9)

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