the population of the town is 20000 it decreases at a rate of 9% per year in about how many years will the population be fewer than 13000

Answer:

3/5

you get this by dividing 24 to both sides of 72/120

Answer:

Step-by-step explanation:

when (x,y) is rotated through 180 then new coordinates are (-x',-y')

G(6,4)→G'(-6,-4)

Problem 1

-------------------------------------

Explanation:

1/4 = 0.25

She eats 25% of a pizza in 12 minutes

We can form the ratio 0.25/12

This ratio is then set equal to x/18. The value of x represents what proportion of the pizza is eaten after 18 minutes.

Solve for x

0.25/12 = x/18

0.25*18 = 12x ..... cross multiply

4.5 = 12x

12x = 4.5

x = 4.5/12

x = 0.375

x = 375/1000

x = (125*3)/(125*8)

x = 3/8

She ate 3/8 of the whole pizza in 18 minutes.

There are 8 slices in a full pizza, so (3/8)*8 = 3 means that she ate 3 slices.

Or you could say "eating 3 slices out of 8 total means she ate 3/8 of the full pizza".

===================================================

Problem 2

-------------------------------------

Explanation:

We'll use the same idea as before. Though now we're setting 0.25/12 equal to x/30

Solving for x leads to...

0.25/12 = x/30

0.25*30 = 12x

7.5 = 12x

12x = 7.5

x = 7.5/12

x = 0.625

x = 625/1000

x = (125*5)/(125*8)

x = 5/8

She will eat 5/8 of the pizza in 30 minutes.

Answer:

22

Step-by-step explanation:

Answer:

x = 1

y = 7

Step-by-step explanation:

Two equations, two unknowns. We know that y = 7x so we can substitute that into the first equation to get:

[tex]-5+2\left(7x\right)=9[/tex]

[tex]-5+14x=9[/tex]

[tex]14x=14[/tex]

This gives us x = 1.

Now plug this bag into either equation to find y, I will use the second since it's easier:

y = 7(1) = 7

Answer: angle 1 and 7

Step-by-step explanation: you just do it

Answer:

Answer is 6.125

Step-by-step explanation:

I hope it's helpful!

Answer:

8xy

Step-by-step explanation:

Subtract -13xy from -5xy

-5xy - (-13xy) =

-5xy + 13xy =

8xy

good luck, i hope this helps:)

Answer:

Step-by-step explanation:

48

Answer:

29

Step-by-step explanation:

PEMDAS

PARENTHESIS: [3-10]=7

EXPONENTS: 3^3= 27

MULTIPLICATION:8×7=56

DIVISION:NONE

ADDITION:NONE

SUBTRACTING: 56-27=29

ANSWER: 29

Answer:

b.

Step-by-step explanation:

Answer:

cancer the worst

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

2+2=4

Answer:

true

Step-by-step explanation:

Answer:

In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle.

Step-by-step explanation:

Answer:

Opposite to the 90 degree angle.

Step-by-step explanation:

the hypotenuse is always the longest side with right triangles its always opposite of the right angle

Answer:

(0,-2) (3,-4) (6,-6)

Step-by-step explanation:

I think you start at (0,-2) then go over 3 to the right and down 2 since it's negative each time

Answer: Positive and negative 8

Step-by-step explanation:

Take the square root on both sides

[tex]\sqrt{x^2} =\sqrt{64}[/tex]

x = ±8

Answer:

x = - 8, x = 8

Step-by-step explanation:

[tex] {x}^{2} = 64 \\ \\ x = \pm \sqrt{64} \\ \\ x = \pm8 \\ \\ x = - 8, \: \: x = 8[/tex]

Answer:

I think the answer is True!

Step-by-step explanation:

Hope this helps

Answer:

true

Step-by-step explanation:

a negative times a negative is a positive same with dividing a negative by a negative

a positive times a negative is also negative

Answer:

[tex]\frac{-27}{40}[/tex]

Step-by-step explanation:

[tex](\frac{-3}{8})[/tex]÷[tex]\frac{5}{9}[/tex]

[tex]\frac{-3}{8}[/tex]×[tex]\frac{9}{5}[/tex]

[tex]\frac{-27}{40}[/tex]

Answer:

n+6

Step-by-step explanation:

Chang is 6 inches taller then Nancy so you must add 6 inches to Nancy's height to figure out Chang's height.

Answer:

it's n+6

Step-by-step explanation:

nancys height is unknown so n is the variable and Chang is 6 inches taller so you add Nancy's height plus 6

Answer:

Step-by-step explanation:

The null hypothesis and alternative hypothesis can be formulated as:

[tex]\mathbf{H_o: P_1 - P_2 \le 0}[/tex]

[tex]\mathbf{H_1 : P_1 -P_2> 0}[/tex]

From the information given:

The sample proportion of rooms occupied for the current year.

[tex]P_1 = \dfrac{1470}{1750}[/tex]

[tex]P_1 = 0.84[/tex]

Sample size [tex]n_1[/tex] = 1750 (total number of rooms for the current year)

The sample proportion of rooms occupied for the previous year.

[tex]P_2 = \dfrac{1440}{1800}[/tex]

[tex]P_2 =0.8[/tex]

Sample size [tex]n_2[/tex] = 1800 (total number of rooms for the previous year)

Thus, the estimated proportion of the hotel rooms occupied each year are:

Current     Previous

0.84            0.80

Since this is a one-sided right-tailed test;

The pooled proportion can  be computed as:

[tex]\hat p= \dfrac{p_1 \times n_1 + p_2 \times n_2}{n_1 + n_2}[/tex]

[tex]\hat p= \dfrac{0.84 \times 1750 + 0.80 \times1800}{1750 +1800}[/tex]

[tex]\hat p=0.8197[/tex]

The standard error SE = [tex]\sqrt{\hat p ( 1- \hat p) ( \dfrac{1}{n_1} + \dfrac{1}{n_2} )}[/tex]

[tex]= \sqrt{0.8197 ( 1-0.8197) ( \dfrac{1}{1750} + \dfrac{1}{1800} )}[/tex]

[tex]= \sqrt{0.8197 ( 0.1803) (0.00112698 )}[/tex]

[tex]=0.0129[/tex]

Finally, the test statistics is calculated as:

[tex]Z_{calc} = \dfrac{(0.84 - 0.8)}{0.0129}[/tex]

[tex]Z_{calc} = 3.101[/tex]

Answer:

0.3036 = 30.36% probability that at least 9 of the flashlights function properly.

Step-by-step explanation:

For each flashlight, there are only two possible outcomes. Either it works, or it does not. Flashlights are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Flashlight works correctly if both its batteries have acceptable voltages:

Each battery has an 88% = 0.88 probability of working correctly(having acceptable voltage), so the probability of the flashlight working correctly is given by:

[tex]p = (0.88)^2 = 0.7744[/tex]

10 flashlights.

This means that [tex]n = 10[/tex]

What is the probability that at least 9 of the flashlights function properly?

This is

[tex]P(X \geq 9) = P(X = 9) + P(X = 10)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 9) = C_{10,9}(0.7744)^{9}.(0.2256)^{1} = 0.2260[/tex]

[tex]P(X = 10) = C_{10,10}(0.7744)^{10}.(0.2256)^{0} = 0.0776[/tex]

[tex]P(X \geq 9) = P(X = 9) + P(X = 10) = 0.2260 + 0.0776 = 0.3036[/tex]

0.3036 = 30.36% probability that at least 9 of the flashlights function properly.

Answer:

7

Step-by-step explanation:

Because 10 1/3 divided by 1 2/5 would be 7 and something and the question is asking how many full pieces, so just 7

Answer:

its too donk

Step-by-step explanation:

alright ill go open up the shades

Answer:

Step-by-step explanation:

Given that:

For PCC

The sample size [tex]n_1[/tex] = 25

sample mean [tex]\overline x_1[/tex] = 75

standard deviation [tex]s_1[/tex] = 17.50

For ELAC

The sample size [tex]n_2[/tex] = 20

Sample mean [tex]\overline x_2 = 89[/tex]

Standard deviation [tex]s_2[/tex] = 14.40

Significance level = 0.05

The null hypothesis:

[tex]H_o : \mu_1 =\mu_2[/tex]

The alternative hypothesis;

[tex]H_1 : \mu_1< \mu_2[/tex]

Since the population standard deviation are synonymous pooled standard deviation; Then:

[tex]sp = \sqrt {\dfrac {(n_1-1)s_1^2)+(n_2-1)s_2^2 }{n_1+n_2-2}[/tex]

[tex]sp = \sqrt {\dfrac {(25-1)17.50^2)+(20-1)14.40^2 }{25+20-2}[/tex]

[tex]sp = 16.20[/tex]

The test statistics can be computed as:

[tex]t = \dfrac{\overline x_1 -\overline x_2}{sp \times \sqrt{\dfrac{1}{n_1} + \dfrac{1}{n_2} }}[/tex]

[tex]t = \dfrac{75-89}{16.20 \times \sqrt{\dfrac{1}{25} + \dfrac{1}{20} }}[/tex]

[tex]t = -2.88[/tex]

The p-value [tex]= P(t_{n_1+n_2-1} <t)[/tex]

[tex]= P(t_{43} <-2.88)[/tex]

= 0.0031

Decision Rule: To reject the null hypothesis if the p-value is less than the significance level

Conclusion: There is sufficient evidence to conclude that the mean amount spent by all PCC students is less than the mean amount spent by all ELAC students.

Answer:

37.94

Step-by-step explanation:

not sure if this is what you need but if you use Pythagoras therom you should get there

a^2 + b^2= c^2

12^2+36^2=c^2

12^2+36^2= 1440

the square root of 1440 is 37.9433192