Answer:
Exponential decay
Nielson Media Research wants to estimate the mean amount of time (in minutes) that full-time college students spend watching television each weekday. Find the sample size necessary to estimate that mean with a 15-minute sampling error. Assume 96% confidence level is desired. Also assume that a pilot study showed that the standard deviation is estimated to be 112.2 minutes.
Answer:
The sample size necessary is 237.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.96}{2} = 0.02[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.02 = 0.98[/tex], so Z = 2.056.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Find the sample size necessary to estimate that mean with a 15-minute sampling error.
A sample size of n is necessary.
n is found when [tex]M = 15[/tex]
We have that [tex]\sigma = 112.2[/tex]
So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]15 = 2.056\frac{112.2}{\sqrt{n}}[/tex]
[tex]15\sqrt{n} = 2.056*112.2[/tex]
[tex]\sqrt{n} = \frac{2.056*112.2}{15}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.056*112.2}{15})^2[/tex]
[tex]n = 236.5[/tex]
Rounding up,
The sample size necessary is 237.
The formula for compound interest is:
Where:
A = the future value of the investment (including interest)
P = the principal investment amount (the initial deposit amount)
r = the annual interest rate (decimal)
n = the number of times that interest is compounded per year
t = the number of years the money is invested for
If Josh invests $500 in a 5-year fixed interest savings bond that pays 5% per annum, how much will his entire investment be worth at the end of the term?
Answer:
Future value, A = $642
Step-by-step explanation:
Given the following data;
Principal = $500
Interest rate = 5% = 5/100 = 0.05
Time, t = 5 years
n = 365
To find the future value, we would use the compound interest formula;
[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
n is the number of times the interest is compounded in a year.
t is the number of years for the compound interest.
Substituting into the equation, we have;
[tex] A = 500(1 + \frac{0.05}{365})^{365*5}[/tex]
[tex] A = 500(1 + 0.000137)^{1825}[/tex]
[tex] A = 500(1.000137)^{1825}[/tex]
[tex] A = 500*1.2840 [/tex]
Future value, A = $642
can somebody help me?
Answer:
1.− 12 b + 6 c + 18
2.− 6 ( 2 b − c − 3 )
Step-by-step explanation:
hope that helps
if correct please mark as brainliest
thank you
:)
can u answer this please
Answer:
Check pdf
Step-by-step explanation:
The area for the trapezoid is__in2.
Answer:
1204 in squared
Step-by-step explanation:
lines that do not meet with each other
Answer this correctly with an explanation and I’ll give u brainalist + 10 points
Answer:
A because when you add the angles up it has to equal 180
Step-by-step explanation:
Answer:
A) ∠ABC and ∠DEF
Step-by-step explanation:
Supplementary angles add up to 180 degrees total. So if you take 180 and subtract 118 you get 62.
∠ABC = 62
∠DEF = 118
180 - 118 = 62
180 - 62 = 118
118 + 62 = 180
Please answer the blanks
Answer:
5/6=10/12 10/12=5/6 3/12=1/4 3/4=9/12
pls pls pls pls helpppp
Answer:
he can buy 18 baseball cards
Banu will build a fence around a rectangular
30-foot-by-25-foot play area. Given that fencing costs
$4.05 per foot, how much will the fencing cost for
Banu to completely surround the play area?
Answer:
A
Step-by-step explanation:
Dimension of the rectangular fence:
Length = 30 ft
Width = 25 ft
Perimeter of the rectangular fence = 2(L + W)
= 2(30 + 25) = 2(55)
Perimeter = 110 ft
Fencing cost per foot = $4.05
Fencing cost for 110 ft = 110 × 4.05 = $445.50
If X = 3 units, Y = 3 units, and Z = 4 units, then what is the surface area of the right triangular pyramid shown above?
Answer:
36
Step-by-step explanation:
you have to multiple and find the other area
how do you solve this?
Answer:
Undefined Slope
Step-by-step explanation:
slope formula = y2-y1/x2-x1
-17 - 12/3 - 3
-29/0
divide by zero, undefined
A triangle has an area of 36 square feet. The height is 6 feet. What is the length of the base (in feet)?
Answer:
Answer · 6 votes
$b = 6 $ \ $ h =12$
HELP HOW DO YOU DO THIS
Answer:
X = 49
Step-by-step explanation:
The top angle that measures 126° is a mirrored version of the angle measuring (x + 77)°. The means the angle, (x + 77)°, has to measure 126°. So, to get x you have to subtract 126 by 77 and that gives you 49.
Peggy is p years old. Maggie is 1 year less than 1/4 of Peggy's age. What is Maggie's age in terms of p?
Answer:
1/2m+100
Step-by-step explanation:
Calculate -7x + 8 + 9 - 3x if x =9
Answer:
-73 is the simplified answer
Step-by-step explanation:
a square with 4 congruent isocelies triangles if the length of x is 12 what's the length of the feet
Answer:
ya yeet 69 420 peepeepoopoo check
Step-by-step explanation:
I HAVE 69 CHILDREN WJANAJSNJSSJJSJSJSJSJDJDJDJDJDJDJDJDJDHDJDBDNDJDJJDJDJDJDYFUWOQOZJCBFBDJXKWJWIFOIGCHBSJQLSOCOCFHHWJWKWROTOGU HSNQJXshsnanqmqmqn1j1n1nNNNNNNRRRRRRRRRGGGRRRRRRRNNNNEEEEEEEEQQQQQQWWWWWAAAAARRRRRRRRRRRRNNNNNIIIIIIIGGGGGGGGGEEEEERRRRRRRRRRRnbjjjjjjIf y varies inversely with x
and y is 10 when x is 5,
then what is y when x is 2?
9514 1404 393
Answer:
25
Step-by-step explanation:
Inverse variation means ...
y = k/x
For the given values, we can find k to be ...
k = xy = (5)(10) = 50
Then for x=2, we have ...
y = 50/x
y = 50/2
y = 25 . . . when x=2
Whoever answers 5 first gets brainliest
When Jack, Jill, and Bill each came down the hill carrying a 48-ounce
bucket full of water. By the time they reached the bottom, Jack's bucket
was only 3/4 full. How much water did Jack spill?
14 oz.
O 12 oz.
O 3/48 oz
16 oz.
Plz HELPPPP AGIAN
NOT TOO HARD NEED HELP
Answer:
perimeter = 12x+10 area=8x^2+14x+6
Step-by-step explanation:
A
2x+2+2x+2+4x+3+4x+3
2x+2x+4x+4x+2+2+3+3
4x+4x+4x+2+2+3+3
8x+4x+2+2+3+3
12x+2+2+3+3
12x+4+3+3
12x+7+3
12x+10
B
(2x+2)(4x+3)
8x^2+8x+6x+6
8x^2+14x+6
what is the area of the figure above ?
Answer:
256m^2
Step-by-step explanation:
you can cut up the figure.
A1=bh
A1= 24x8
A1=192m^2
A2=bh
A2= bh
A2=8x8
A2=64m^2
A1+A2= Atotal
A=192+64
A=256m^2
Cell G: 4.21×10^-3 cm
Cell H: 9.2×10-4 cm
How many times larger is the diameter of cell G than the diameter cell H? Write your answer in standard notation, rounding to the nearest tenth.
Answer:
0.00421 centimeters.
Step-by-step explanation:
thats ur answer
Answer:
I believe that your answer would be 2.18527315×10^-1
Simplified would be 2.2×10^-1
Step-by-step explanation:
I hope this helps
FASTTTTTTTTTTTTTTTTTTTTTT 50 POINTS +BRAINLIEST
Answer:
[tex]\huge\boxed{\sf Option \ 2}[/tex]
Step-by-step explanation:
[tex]\sf (\frac{4}{5})^3 \\\\[/tex]
This means that 4/5 repeats itself 3 times.
So,
[tex]\sf = \frac{4}{5} * \frac{4}{5} * \frac{4}{5} \\\\= \frac{64}{125} \\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Answer: Choice 2: 4/5 • 4/5 • 4/5 = 64/125
Step-by-step explanation: The exponent tells you how many times you have to multiply the 4/5. Since the exponent is 3, we know to multiply 4/5 with itself 3 times, like this: 4/5 • 4/5 • 4/5, which will get us 64/125
14 out of 49 as a percentage
Answer:
28.57%
Step-by-step explanation:
What is the formula for calculating Cone?
Pls help asap giving 10 points
Don’t mind the answer I accidentally clicked
Answer:
18.08 ft. (You were right congrats!)
Step-by-step explanation:
24 = b
217 = A
In this you are solving for h.
Formula for area of triangle = bh/2
Isolate h = 2 x A/b
2 x 217/24 = 18.08.
Answer:
The answer is 18.08 thanks for the points
What is the diameter of a sphere with a volume of 616 ft", to the nearest tenth of a
foot?
Answer:
Rounded to the nearest tenth: 10.6
Answer not rounded: 10.56
Step-by-step explanation:
Kayla has 1,000 Apples in 5 bags, Mack has 999 apples in 5 bags as well, how many apples does Kayla have THAN Mack? Mack said that it is 10 apples that he is missing to match Kayla, Kayla said its only one apple he is missing to match hers.1,000-999=? who is correct? ( kayla or Mack? )
16fy
What is the rate of change of the function shown on the
graph? Round to the nearest tenth.
14
12-
(2.12.5)
02.00
0 2.50
5.25
10 -
000
0 10.50
(1,5)
4
(-1,0.8) 3 (0, 2)
-4 -3 -2
12
3
4
X
2.
-4
-6
Answer:
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Answer:
B
Step-by-step explanation: