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wlad13 [49]
3 years ago
6

Please see attachment for the question and answer choices.

Mathematics
1 answer:
Triss [41]3 years ago
3 0

Answer:

  about 81 years

Step-by-step explanation:

A graphing calculator can give you the answer easily.

__

You can solve the problem algebraically by putting in the given number and solving for t.

  30000 = 32000/(1 +12.8e^(-.065t))

  12.8e^(-.065t) = (32000/30000) -1 = 1/15

  e^(-.065t) = 1/(15·12.8) = 1/192 . . . . . divide by 12.8

  -0.065t = ln(1/192) ≈ -5.257 . . . . . .  take the natural log

  t = -5.257/-0.065 ≈ 80.88 . . . . . . . .divide by the coefficient of t

It will take about 81 years for the number of trees to reach 30,000.

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A rectangle is 13 centimeters wide and 18 centimeters long. how long is its diagonal
Naddika [18.5K]
You have to use the Pythagorean theorem a squared plus b squared is c squared so 13 squared plus 18 squared equals c squared. 13x13=169 18x18=324 169+324=493 so c squared is 493 to get c you square root 493 which equals 22.2 so the diagonal, c, is 22.2 centimeters long
7 0
3 years ago
A rectangle measures 2 4/ 5 inches by 1 1/ 5 inches. What is its area?
AlexFokin [52]

[ Answer ]

\boxed{3\frac{9}{25} }

[ Explanation ]

Area Of Rectangle: Length * Width

2 4/5 * 1 1/5

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

Convert Fractions Into Mixed Numbers:

2 4/5 = 14/5

1 1/5 = 6/5

Multiply Across:

14 * 6

5 * 5

= 84/ 25

Simplify:

3 9/25

\boxed{[ \ Eclipsed \ ]}

4 0
3 years ago
For every 2 gallons of vanilla ice cream a shop sells, they sell 11 gallons of chocolate ice cream. If they sell 16 gallons of v
Novay_Z [31]

Answer: 88 gallons

Step-by-step explanation:

Every 2 vanillas = 11 chocolates

so 16 vanillas = 88 chocolates

i did this by multiplying both numbers by 8

sorry if this is wrong

6 0
3 years ago
Read 2 more answers
PLEASE HELP WILL GIVE BRAINLIEST<br> 30 POINTS
Annette [7]

Answer:

D

Step-by-step explanation:

y<2

y<x+2

y>-1/4-3

if you plug in one of the points in the included grey area the equations should be true

7 0
2 years ago
A manufacturer of coffee vending machines has designed a new, less expensive machine. The current machine is known to dispense (
cupoosta [38]

Answer:

t=(15-1) [\frac{0.219}{0.2}]^2 =16.7864

p_v = 2*P(\chi^2_{14}>16.786)=0.5355

And the 2 is because we are conducting a bilateral test.

\alpha=0.05 since the the p_v >0.05 we fail to reject the null hypothesis.

\alpha=0.01 since the the p_v >0.01 we fail to reject the null hypothesis.

Step-by-step explanation:

Data given

\mu=7 population mean (variable of interest)

\sigma=0.2 represent the population standard deviation

s=0.219 represent the sample deviation

n=15 represent the sample size

\alpha=0.05,0.01 represent the values for the significance level  

Hypothesis test

On this case we want to check if the population standard deviation is equal or not to 0.2, so the system of hypothesis are:

H0: \sigma = 0.2

H1: \sigma \neq 0.2

In order to check the hypothesis we need to calculate the statistic given by the following formula:

t=(n-1) [\frac{s}{\sigma_o}]^2

This statistic have a Chi Square distribution distribution with n-1 degrees of freedom.

What is the value of your test statistic?

Now we have everything to replace into the formula for the statistic and we got:

t=(15-1) [\frac{0.219}{0.2}]^2 =16.7864

P value

We know the degrees of freedom of the distribution 14 on this case and we can find the p value like this:

p_v = 2*P(\chi^2_{14}>16.786)=0.5355

And the 2 is because we are conducting a bilateral test.

\alpha=0.05 since the the p_v >0.05 we fail to reject the null hypothesis.

\alpha=0.01 since the the p_v >0.01 we fail to reject the null hypothesis.

3 0
3 years ago
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