Answer:
$44.19
Step-by-step explanation:
15.98-1.25=14.73
14.73*3-44.19
Answer:
$44.19
Step-by-step explanation:
1 box if pen including donation= $15.98
1 box of pen without donation= $15.98-$1.25
=$14.73
3 box of pen without donation= $14.73×3
=$44.19
The mean life expectancy of a certain type of light bulb is 945 hours with a standard deviation of 21 hours. What is the approximate standard deviation of the sampling distribution of the mean for all samples with n
Answer:
The approximate standard deviation of the sampling distribution of the mean for all samples of size n is [tex]s = \frac{\sigma}{\sqrt{n}} = \frac{21}{\sqrt{n}}[/tex]
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The mean life expectancy of a certain type of light bulb is 945 hours with a standard deviation of 21 hours
This means that [tex]\mu = 945, \sigma = 21[/tex].
What is the approximate standard deviation of the sampling distribution of the mean for all samples of size n?
[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{21}{\sqrt{n}}[/tex]
The approximate standard deviation of the sampling distribution of the mean for all samples of size n is [tex]s = \frac{\sigma}{\sqrt{n}} = \frac{21}{\sqrt{n}}[/tex]
Albert jumped 100 times in 97.5 seconds. Round off the time taken to the nearest second.
The required round of the time 97.5 is 98 seconds.
Given that,
Albert jumped 100 times in 97.5 seconds. To round off the time taken to the nearest second.
The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
in 97.5 seconds 0.5 in the tenth place is close to 1,
So the round off the number will be 98 seconds,
Thus, the required round of the time 97.5 is 98 seconds.
Learn more about round the decimal here;
brainly.com/question/867784
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I need the answer to this pls.
Answer:
C
Step-by-step explanation:
If f(1)=6f(1)=6 and f(n)=nf(n-1)-4f(n)=nf(n−1)−4 then find the value of f(3)f(3).
Answer:
49
Step-by-step explanation:
Answer:6144
Step-by-step explanation:
If f(1)=6f(1)=6 and f(n)=4f(n-1)f(n)=4f(n−1) then find the value of f(6)f(6).
f(1)=
f(1)=
\,\,6
6
f(\color{darkgreen}{2})=
f(2)=
\,\,4f(\color{darkgreen}{2}-1)
4f(2−1)
=
=
\,\,4f(1)
4f(1)
=
=
\,\,4(6)
4(6)
Substitute f(1)=6
f(2)=
f(2)=
\,\,24
24
f(\color{darkgreen}{3})=
f(3)=
\,\,4f(\color{darkgreen}{3}-1)
4f(3−1)
=
=
\,\,4f(2)
4f(2)
=
=
\,\,4(24)
4(24)
Substitute f(2)=24
f(3)=
f(3)=
\,\,96
96
f(\color{darkgreen}{4})=
f(4)=
\,\,4f(\color{darkgreen}{4}-1)
4f(4−1)
=
=
\,\,4f(3)
4f(3)
=
=
\,\,4(96)
4(96)
Substitute f(3)=96
f(4)=
f(4)=
\,\,384
384
f(\color{darkgreen}{5})=
f(5)=
\,\,4f(\color{darkgreen}{5}-1)
4f(5−1)
=
=
\,\,4f(4)
4f(4)
=
=
\,\,4(384)
4(384)
Substitute f(4)=384
f(5)=
f(5)=
\,\,1536
1536
f(\color{darkgreen}{6})=
f(6)=
\,\,4f(\color{darkgreen}{6}-1)
4f(6−1)
=
=
\,\,4f(5)
4f(5)
=
=
\,\,4(1536)
4(1536)
Substitute f(5)=1536
f(6)=
f(6)=
\,\,6144
6144
\text{Geometric Sequence:}
Geometric Sequence:
Common ratio of 4
6,24,96,384,1536,6144, ...
6,24,96,384,1536,6144,...
\text{Final Answer:}
Final Answer:
6144
PLEASE HELP IM BEGGING PLEASEEEE SEE ATTACHED DOCUMENT
Answer:
Step-by-step explanation:
5.
3x-1 = 4x+13
-1=x+13
12=x
3(12)-1
36-1
Answer: 35
Second 5.
I'm not completely sure what this is referring to (please tell me if there is another part for this because there isn't any numbers such as <1 shown on the picture.)
6.
90+40+x=180
130+x=180
50=x
Answer: 50
7.
x+71=90
x=19
Answer: 19
How many students were questioned about the approximate number of text messages they send each day? Explain or
show how you arrived at your answer.
WRITE THE SOLUTION TO THE FOLLOWING SYSTEMS
HURRY ILL GIVE BRAINLIEST!!!!!!!
Answer:
1) (2,4)
2) (5,-2)
Step-by-step explanation:
those are the points at which the lines cross making them the solutions to the equations
If the function f (2) 3x2 + bx + 2 has no real roots, which of the following could be the value of b? -7, -1, 8, 0
10
Answer:
b could be -1 or 0
Step-by-step explanation:
f(x) = 3x^2 +bx+2
if it has no real roots, the discriminant must be less than zero
b^2 -4ac <0
a=3 b=b c=2
b^2 - 4(3)(2) <0
b^2 - 24 <0
b^2 < 24
Taking the square root of each side
b< 2 sqrt(6) and b > 2 sqrt(6)
b could be -1 or 0
What is the shape of the base of the cylinder?
Answer:
circle
Step-by-step explanation:
In the 1990s the demand for personal computers in the home went up with household income. For a given community in the 1990s, the average number of computers in a home could be approximated by
q = 0.3456 ln x − 3.045 10,000 ≤ x ≤ 125,000
where x is mean household income. A certain community had a mean income of $15,000, increasing at a rate of $1,500 per year.
1. How many computers per household were there?
2. How fast was the number of computers in a home increasing?
Answer:
dvffdd
Step-by-step explanation:
Need Help With My Geometry Work Plz Help
Answer:
Step-by-step explanation:
(number of sides-2)*180 = (6-2)*180 = 720°
a= 720/6= 120°
lines form 180° angles
b= 180-120= 60°
sum of angles in a triangle is 180, and the angles are ≡
c=180/3 = 60°
c and d are supplementary angles (they add to 180)
d= 180-60 = 120°
d ≡ e+e because are vertical angles
e= 120/2 = 60°
sum of angles in a triangle is 180
f= 180 -90-60 = 30°
(number of sides-2)*180 = (5-2)*180 = 540°
g= 540/5= 108°
Solve the equation.Leave your answer as simplest form a fraction
Answer:
n = 15
Step-by-step explanation:
5/2 = n/6 Multiply both sides by 6
6 * 5/2 = 6 n/6
30/2 = n
n = 15
find the ratio of volumes of two cuboids whose sides are in the ratio 3/1
Answer:
The ratio of volumes is of 27.
Step-by-step explanation:
Volume of a cuboid:
A cuboid has dimensions length l, width w and height h. The volume is given by:
[tex]V = lwh[/tex]
Multiplying dimensions by 3:
This means that l = 3l, w = 3w, h = 3h. So
[tex]V_m = 3l(3w)(3h) = 3*3*3*lwh = 27lwh[/tex]
Ratio of volumes:
[tex]\frac{V_m}{V} = \frac{27lwh}{lwh} = 27[/tex]
The ratio of volumes is of 27.
a rectangle has a base of 10 and height of 12 what is its area
Answer:
120 units squared
Step-by-step explanation:
help me please I have to pass
Answer:
Step-by-step explanation:
15% of 400
15/100*400
15*400/100
6000/100
60
therefore ur answer is 60
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] \frac{15}{100} \times 400 \\ =15 \times 4 \\ = 60 [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
To which graph does the point (−1, 3) belong?
y ≥ 2x + 6
y ≥ 3x − 1
y ≥ −x + 4
y ≥ −2x + 5
Answer:
second option "y ≥ 3x − 1."
Step-by-step explanation:
Just solved it
What is the volume of the given picture below? ( HELP PLEASE )
convert 1 2/5 x 2/3 into a mixed number
According to the following graph, which service took the longest to download the podcast? How much longer did it take than Groove Box in minutes and seconds?
51000711
The service will take the longest to download the podcast.
It will take minutes and seconds longer than Groove Box.
Answer:
- Top Hat
- 14
- 37
Step-by-step explanation:
g A radio station’s poll found that 68% of the respondents in a random sample of listeners plan to see a live music show in the next month. A 95% confidence interval for the population proportion was 0.68 ± 0.04. What is the correct interpretation of the 95% confidence interval? We can be 95% confident that 68% of all listeners will see a live music show in the next month. There is a 95% probability that between 64% and 72% of the listeners will see a live music show in the next month. There is a 5% chance that less than 64% or more than 72% of listeners will see a live music show in the next month. We can be 95% confident that the true proportion of listeners who will see a live music show in the next month is between 64% and 72%. If we repeatedly took samples of the same size from listeners of this radio station, approximately 95% of those samples would have between 64% and 72% of the sample going to see a live music show in the next month.
Answer:
We can be 95% confident that the true proportion of listeners who will see a live music show in the next month is between 64% and 72%.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
A 95% confidence interval for the population proportion was 0.68 ± 0.04.
We are 95% sure that the true population proportion is between 0.68 - 0.04 = 0.64 and 0.68 + 0.04 = 0.72.
Thus, the correct answer is:
We can be 95% confident that the true proportion of listeners who will see a live music show in the next month is between 64% and 72%.
For a sample size of n = 26 and a population parameter of p = 0.6, a normal
curve can be used to approximate the sampling distribution.
O A. True
O B. False
Answer:true
Step-by-step explanation:
just took the test < 3
The statement : "for a sample size of n = 26 and a population parameter of p = 0.6, a normal curve can be used to approximate the sampling distribution" is true.
What is normal curve?Normal curve is used to represent the class shapes in the statistical probability. Mathematically, we can describe the normal curve as -
[tex]$f(x)= {\frac{1}{\sigma\sqrt{2\pi}}}e^{- {\frac {1}{2}} (\frac {x-\mu}{\sigma})^2}[/tex]
where -
f(x) = probability density function
σ = standard deviation
μ = mean
Given is that for a sample size of n = 26 and a population parameter of
p = 0.6, a normal curve can be used to approximate the sampling
distribution.
It is asked to identify whether the given statement regarding the normal curve is true or false. The given statement is - "for a sample size of n = 26 and a population parameter of p = 0.6, a normal curve can be used to approximate the sampling distribution". The given statement is true.
Therefore, the statement : "for a sample size of n = 26 and a population parameter of p = 0.6, a normal curve can be used to approximate the sampling distribution" is true.
To solve more questions on normal curves, visit the link below-
https://brainly.com/question/24201610
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Charlotte completed 12 pages of her 18-page report. What percent has she completed thus far?
Answer:
Charlotte has 23 of her book left to read. She can read 29 of it each day.
Step-by-step explanation:
Answer:
66.6666666667%
Step-by-step explanation:
12/18 = x/100
cross product
18x = 12(100)
18x = 1200
18× = 1200
__ _____
18 18
x=66.6666666667%
at what rate percent of interest per annum will #700 gain an interest of #84 in 3 years
Answer:
4% per annum
Step-by-step explanation:
Recall :
Simple interest = principal * rate * time
Given that :
Time = 3 ; simple interest = 84 ; principal = 700
84 = 700 * rate * 3
84 = 2100 * rate
Rate = 84 /2100
= 0.04
= 0.04 * 100% = 4% per annum
1
Abdullah tracked the scores of his Science tests this year.
93, 71, 86, 95, 72, 81, ?
He lost the score from his final test, but knows he had a mean score of 82.
Calculate his missing score.
76 O
Activate Windows
Go to Settings to activate Windows.
11:30 AM
5/31/2021
Desktop
4») GG ENG
O
10
Answer:
76
Step-by-step explanation:
Answer:
I believe the answer is 76
How do you write 6.00 × 10–5 in standard form?
Answer:
[tex]60x-5[/tex]
Step-by-step explanation:
Multiply 10 by 6
60x - 5
Chau rented a truck for one day. There was a base fee of $18.95, and there was an additional charge of 95 cents for each mile driven. Chau had to pay $198.50
when he returned the truck. For how many miles did he drive the truck?
Let's say John drove 2 miles. He had to pay the base fee of $18.99 and $.75(2) = $1.50, so he paid $20.49 total.
We are given his total, though, and asked to find the mileage.
18.99 + .75m = 199.74
-18.99 -18.99
.75m = 180.75
.75 .75
m = 241
So, John drove 241 miles.
Hope this helps!
I
The population of a city decreases by 3.1% per year. If this year's population is 142,000, what will next year's population be, to the nearest individual?
Answer:
100 - 3.1 = 96.9
142000 - 96.9 = 1410903.1
If 3/4 of an inch on a map is equal to 45 miles , what does 1 inch represent?
Answer:
60 miles
Step-by-step explanation:
if 45 = 3/4
divide 45 by 3 = 15
15 * 4 = 60
Matthew decided to bake cupcakes for the school fundraiser. He wants to make 2 dozen cupcakes--one dozen strawberry and one dozen chocolate. He needs 2 1/4 cups of flour for the strawberry cupcakes and 2 1/3 cups of flour for the chocolate cupcakes, but he only has 4 cups of flour. Which two expressions could be used to correctly determine the amount of flour, in cups, Matthew still needs to bake his two dozen cupcakes? 2 part what is the total amount of flour, in cups, Mathew still needs for his cupcakes? NO LINK
Answer:
[tex]4+c=2\frac{1}{4}+2\frac{1}{3},\\\\\frac{7}{12}\:\text{more cups of flour}[/tex]
Step-by-step explanation:
The total amount of flour, in cups, Matthew needs is equal to [tex]2\frac{1}{4}+2\frac{1}{3}=4\frac{7}{12}[/tex]. Because he only has 4 cups, we can write the following expression to determine how many additional cups of flour he needs:
[tex]4+c=2\frac{1}{4}+2\frac{1}{3},\\\\4+c=\frac{7}{12}, \\\\c=\boxed{\frac{7}{12}\:\text{more cups of flour}}[/tex]
A spinner has three unequal sections: red, yellow, and blue. The table shows the results of Nolan's spins. Find the experimental probability of landing on each color. Enter your answers as simplified fractions.
Red 12
Yellow 18
Blue 5
Answer:
red: 12/35
yellow: 18/35
blue: 1/7
Step-by-step explanation:
The experimental probability is the total number of each outcome over the total outcomes. The total outcomes would be the sum, 12 + 18 + 5, or 35.
If we are looking for the experimental probability of red, we divide the spins on red by the total:
red - [tex]\frac{12}{35}[/tex]
If we are looking for the experimental probability of yellow, we divide the spins on yellow by the total:
yellow - [tex]\frac{18}{35}[/tex]
If we are looking for the experimental probability of blue, we divide the spins on blue by the total:
blue - [tex]\frac{5}{35}[/tex] = [tex]\frac{1}{7}[/tex]