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Anit [1.1K]
3 years ago
14

consider the gre scores for a random sample of 6 students out of a class of 25: name julia andrew jason cathy jessica robert sco

re 650 550 380 720 710 550 what is the point estimate for the mean score for students in the class?
Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
6 0
Name  Score
Julia      650
Andrew 550
Jason    380
Cathy    720
Jessica 710
Robert   550

Point estimate for the mean score:
Sample mean = sum of all observations / number of observations

sample mean = (650+550+380+720+710+550) / 6
sample mean = 3560 / 6 
sample mean = 593.33

The point estimate for the mean score is 593.33
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In September, a greeting card company's total profit was 22% less than it was in august. The total profit for the two months was
Trava [24]
Profit for August: x
Profit for September: x - 22%x
Total Profit for August & September: $689,000

x + x - 22% x = 689,000

2x - .22x = 689,000
1.78x = 689,000
x = 689,000/1.78
x = 387,078.65

August Profits: $387,078.65
September Profits: 387,078.65 - (22%)(387,078.65) = 387,078.65 - 85,157.30 = 301,921.35

August Profits: $387,078.65

September Profits
$301,921.35
5 0
3 years ago
The number of bacteria after t hours is given by N(t)=250 e^0.15t a) Find the initial number of bacteria and the rate of growth
Art [367]

Answer:

a) N_0=250\; k=0.15

b) 334,858 bacteria

c) 4.67 hours

d) 2 hours

Step-by-step explanation:

a) Initial number of bacteria is the coefficient, that is, 250. And the growth rate is the coefficient besides “t”: 0.15. It’s rate of growth because of its positive sign; when it’s negative, it’s taken as rate of decay.

Another way to see that is the following:

Initial number of bacteria is N(0), which implies t=0. And N(0)=N_0. The process is:

N(t)=250 e^{0.15t}\\N(0)=250 e^{0.15(0)}\\ N_0=250e^{0}\\N_0=250\cdot1\\ N_0=250

b) After 2 days means t=48. So, we just replace and operate:

N(t)=250 e^{0.15t}\\N(48)=250 e^{0.15(48)}\\ N(48)=250e^{7.2}\\N(48)=334,858\;\text{bacteria}

c) N(t_1)=4000; \;t_1=?

N(t)=250 e^{0.15t}\\4000=250 e^{0.15t_1}\\ \dfrac{4000}{250}= e^{0.15t_1}\\16= e^{0.15t_1}\\ \ln{16}= \ln{e^{0.15t_1}} \\  \ln{16}=0.15t_1 \\ \dfrac{\ln{16}}{0.15}=t_1=4.67\approx 5\;h

d) t_2=?\; (N_0→3N_0 \Longrightarrow 250 → 3\cdot250 =750)

N(t)=250 e^{0.15t}\\ 750=250 e^{0.15t_2} \\ \ln{3} =\ln{e^{0.15t_2}}\\ t_2=\dfrac{\ln{3}}{0.15} = 2.99 \approx 3\;h

6 0
3 years ago
What is the equation of the line that passes through the point (8,4) and has a slope of 3/2
iren [92.7K]

Answer: Y= 3/2x-8=

Step-by-step explanation:Y=4 M= 3/2. X=-8

Y=mx+b

4 = 3/2(8)+b

4= 24/2+b

4= 12+b

-12=-12

-8=b

3 0
3 years ago
D+(-9)=-5<br> i need to solve for d. thank u
goldfiish [28.3K]

Answer:

4

Step-by-step explanation:

d - 9 = -5

Add 9 to -5, and you will get 4.

4 - 9 = -5

8 0
2 years ago
Read 2 more answers
List the sets that -6 belongs to: whole numbers, integers, rational numbers, irrational numbers, and real numbers.
goldfiish [28.3K]

Answer:

Whole Number : 6

Integers: -6 and 6

Rational Number: -6.0 and -6/1

Irrational Number: -Infinity  or  -0


8 0
3 years ago
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