Answer:
a) The mean is 0.05 and the standard deviation is 0.0218.
b) v. The sampling distribution of p is not approximately normal because n(1 - p) is less than 10.
Step-by-step explanation:
Central Limit Theorem
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex].
If [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], the sampling distribution of the sample proportion p will be approximately normal.
Consider the population consisting of all adult Americans age 65 and older who prefer to watch the news, and suppose that for this population the actual proportion who prefer to watch online is 0.05.
This means that [tex]p = 0.05[/tex]
A random sample of n = 100 people
So [tex]n = 100[/tex]
(a) What are the mean and standard deviation of the sampling distribution of p?
Mean [tex]\mu = p = 0.05[/tex]
Standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.05*0.95}{100}} = 0.0218[/tex]
The mean is 0.05 and the standard deviation is 0.0218.
(b) Is the sampling distribution of p approximately normal for random samples of size n 100? Explain.
[tex]np = 100*0.95 = 95 > 10[/tex]
[tex]n(1-p) = 100*0.05 = 5 < 10[/tex]
As n(1-p) < 10, it is not approximately normal, option v.
Kathryn is 1.6 meters tall. Convert her height to feet. Round to the nearest tenth.
Answer:
1.6 m = 5.3 ft
please answer them! be quick if you can, thank you.
Answer:
Question one = 35a - 15
Question two = 9
Step-by-step explanation:
Distributive property means to multiply all the numbers inside the parenthesis
by the outside number. 5 x 7a equals 35a and 5 x 3 = 15.
35 x 9 - 315 - 15 = 300
A = 9
The three side lengths of a triangle are given. Which triangle is a right triangle?
hopefully the text is ok :-)
Answer:
Triangle A
Explanation:
This isn't really an explanation, but I don't really know how to explain. The other answers just aren't correct (They aren't right triangles).
if f(x) = 2x+6 and g(x) = x(3) , what is (g0f)(0)
Answer:
(g0f)= (2x0+6 x 0x3)= 8x3= 24
Step-by-step explanation:
I'm not sure
:) sorry
Edge Precalculus End Behavior of Limits
Answer:
ereee
Step-by-step explanation:
Answer:
c.
g(x)=-3/x
Step-by-step explanation:
Question in link. Please help :(
Answer:
The median
Step-by-step explanation:
It uses all the added numbers as one
Due today! Why did the "Martian" need a special suit to visit Earth?
Answer:
But Mars has no magnetosphere, and its atmosphere is over 100 times thinner than Earth's atmosphere. The trip to Mars and the stay on Mars will mean extended radiation exposure. Astronauts will need special habitats, suits, and machines that will protect them from radiation, which otherwise could cause cancer.
Step-by-step explanation:
please look at my last couple questions!! 50% of my grade
NO LINKS
Is this a Percent Increase or Decrease Problem?
Shaleka had a 10%-off coupon and paid $36 for pair of
jeans.
Answer:
Percent Decrease
Please mark as brainliest for further answers :)
Please help! Like please.
The answer is letter H
In a company's first year in operation, it made an annual profit of $322,000. The
profit of the company increased at a constant 21% per year each year. How much
total profit would the company make over the course of its first 26 years of operation,
to the nearest whole number?
Answer:
Since the annual profit for the FIRST YEAR is $322,000 and it increases 21% every year for 26 years, you do so to find the answer to the question.
Step-by-step explanation:
21% per year
26 years
21 x 26 = 546
Now you have to find 546% of 322,000 and add that to 322,000.
546% of 322,000 is 1,758,120.
hope this helped!
Answer:
$216,265,829
Step-by-step explanation:
To find the sum of a geometric series we use the following equation
[tex]a*\frac{1-r^n}{1-r}[/tex]
we have
[tex]322000*\frac{1-1.21^{26}}{1-1.21}\\\\322000*671.633=216265829[/tex]
0.8km need to be convert into hour an minute please help
Answer:
It is not possible
Step-by-step explanation:
Required
Convert 0.8km to hours and minutes
One of the condition for a successful conversion is that: only units of the same metric can be converted.
i.e.
Meters can be converted to feet (they both measure distance)
Days can be converted to years (they both measure time)
Pounds can be converted to grams (they both measure weight)
But in the given question, you attempt to convert from distance to time.
This is not possible, because time and distance are different measurements
Can y’all help me solve this?
Raul recibió un bono de $750, el que era 5% de su salario anual . Su sueldo anual es de ?
Answer: 375
Step-by-step explanation:
3) Divide x3 + 4x2 – 3x – 12 by (x + 4)
Answer:
Factor the numerator and denominator and cancel out the common factors.
x ^2 − 3 is your final answer.
Step-by-step explanation:
Hope that this helps you out! :)
If you have any questions please put them in the comment section below this answer.
Have a great rest of your day/night!
Please thank me on my profile if this answer has helped you.
I need help, I’ll reward points + brainalist (btw I need help with 12, help a guy out please don’t just say “look at the link”)
Answer:
B (2)
Step-by-step explanation:
The formula for circumference of a circle is C=2piR
Replace R with 2
C=2pi(2)
C=12.5664
Formula for area of a circle is A=piR^2
A=pi(2)^2
A=12.5664
points: here answer 3b+10
Answer:
3b+10
Step-by-step explanation:
The expression is not factorable with rational numbers.
3b+10
plz help me I'm timed!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Answer is C. 9
Step-by-step explanation:
It is basically the same thing as 12-3 and that's equal to 9. It's 9 my man
CAN SOMEONE PLEASE ANSWER THIS QUICKLY I DONT GOT TIME
Answer:
6) 5(1/3)
7) 5(1/3)
8) 3(3/5) or 18/5
because answer were cut off
Answer:
7) 5 [tex]\frac{1}{3} \\[/tex]
8) 5 [tex]\frac{1}{3}[/tex]
9) 3 [tex]\frac{3}{5}[/tex]
hope it is right, just use your calculator
Help me plzzzzz euebdmso
The growth in per share FCFE of FOX, Inc. is expected to be 10%/year for the next three years, followed by a growth rate of 5%/year for two years; after this five year period, the growth in per share FCFE is expected to be 3%/year, indefinitely. The required rate of return on FOX, Inc. is 12%. Last year's per share FCFE was $1.8. What should the stock sell for today?
Answer: $25.46
Step-by-step explanation:
Year 1 FCFE = 1.8 * (1 + 10%) = $1.98
Year 2 FCFE = 1.98 * 1.1 = $2.18
Year 3 FCFE = 2.178 * 1.1 = $2.40
Year 4 FCFE = 2.3958 * 1.05 = $2.52
Year 5 FCFE= 2.51559 * 1.05 = 2.64
Terminal Value = (2.64 * 1.03) / (12% - 3%)
= $30.21
Now discount all these cashflows to find the value:
= (1.98 / 1.12) + (2.18 / 1.12²) + (2.40 / 1.12³) + (2.52 / 1.12⁴) + (2.64 / 1.12⁵) + (30.21 / 1.12⁵)
= $25.46
2 Which expression shows the quotient of 6 and p?
A 6xp
с px6
в 6+ р
D p +6
The distance around a triangle is 36 centimeters. If two sides are equal and the length of the third side is 14 centimeters, what is the length of each of the other two sides?
∠A and \angle B∠B are complementary angles. If m\angle A=(x+10)^{\circ}∠A=(x+10)
∘
and m\angle B=(3x+28)^{\circ}∠B=(3x+28)
∘
, then find the measure of \angle B∠B.
Answer:
x + 10 + 3x + 28 = 90
4x = 52
x= 13
Step-by-step explanation:
Angle B = 67
What is the answer to this question
The best answer from the choices provided is option B) 56.
Step-by-step explanation: Simply subtract 34 from 90.
I am not sure how to solve these equations. Can someone please help me?
Answer: 1. 1.14142842 (sorry this is what i got)
2. -13.14142842
Step-by-step explanation:
PLS HELP DUE VERY SOON
3. Consider the following box plot.
(a) Find the interquartile range.
(b) What percent of values is included in the interquartile range?
Answer:
a) Interquartile range= upper quartile- lowwr quartile
= Q3- Q1
= 4.75-2.25
= 2.50
b) ( 2.5 ÷ 6 ) × 100
= 41.67%
Answer:now you can give other guy brainliest.
Step-by-step explanation:
2(3b-1)=40
Simplify.
Answer:b=7
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2(3b−1)=40
(2)(3b)+(2)(−1)=40(Distribute)
6b+−2=40
6b−2=40
Step 2: Add 2 to both sides.
6b−2+2=40+2
6b=42
Step 3: Divide both sides by 6.
6b/6=42/6
b=7
which expression is 1/2 as large as 486-466
Answer: 20-10
Step-by-step explanation: 486-466 is 20. Half of 20 is 10. Any expression that equals ten is 1/2 as large as 486-466.
The expression is 1/2 as large as 486-466 is with the data 10.
What is fraction?Fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Let us understand this concept using an example. The following figure shows a pizza that is divided into 8 equal parts. Now, if we want to express one selected part of the pizza, we can express it as 1/8 which shows that out of 8 equal parts, we are referring to 1 part.
Given:
Class = 486 - 466
We have given a class whose upper limit = 486
and, lower limit = 466
the range or difference between class
=486 - 466
=20
Thus, the 1/2 of range is 10.
Hence, expression is 1/2 as large as 486-466 is with the data 10.
Learn more about fraction here:
https://brainly.com/question/10354322
#SPJ2
help pleaseee !!! im stuck
9514 1404 393
Answer:
102 cm²232 in²40.46 ft²480 mm²Step-by-step explanation:
The first three cuboid prisms all use the same area formula:
A = 2(LW +H(L+W))
__
1. A = 2(3·3 +7(3+3)) = 2(9 +42) = 102 . . . cm²
2. A = 2(2·8 +10(2 +8)) = 2(16 +100) = 232 . . . in²
3. A = 2(4.9·3 +0.7(4.9 +3)) = 2(14.7 +5.53) = 40.46 . . . ft²
__
4. The area of this prism is the total of the area of the two triangular bases and the areas of the rectangular faces. For triangle legs a, b and hypotenuse c, and prism depth d, the area formula can be written as ...
A = ab +d(a+b+c)
A = (8 mm)(15 mm) +(9 mm)(8 mm + 15 mm + 17 mm)
A = (120 +9(40)) mm² = 480 mm²
