Answer:
The probability that the mean amplifier output would be greater than 449.8 watts in a sample of 76 amplifiers is 0.8078.
Step-by-step explanation:
According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.
Then, the mean of the sample means is given by,
[tex]\mu_{\bar x}=\mu[/tex]
And the standard deviation of the sample means is given by,
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]
The information provided is as follows:
[tex]\mu=451\\\sigma^{2}=144\\n=76\\\bar x=449.8[/tex]
Compute the probability that the mean amplifier output would be greater than 449.8 watts in a sample of 76 amplifiers as follows:
[tex]P(\bar X>449.8)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}>\frac{449.8-451}{\sqrt{144/76}})\\\\=P(Z>-0.87)\\\\=P(Z<0.87)\\\\=0.8078[/tex]
*Use a z-table.
Thus, the probability that the mean amplifier output would be greater than 449.8 watts in a sample of 76 amplifiers is 0.8078.
Help me please please
Answer:
wut i cannot see the question
Step-by-step explanation:
Gawain sa Pagkatuto Bilang 2: Pagsunod-sunurin ang mga
pangkat. Isulat ang letra ng tamang sagot,
1. A.
B.
C.
Malaki - Paliit
Maliit → Palaki
C.
2.
A.
B.
Malaki → Paliit
Maliit > Palaki
3.
C.
A.
B.
WA
Malaki > Paliit
Maliit -> Palaki
Answer:
What is this about?
Step-by-step explanation:
What topic?
n/4 + 1 =5 how do I solve this and show my work
Answer:
n/4 + 1 =5
n/4 = 5-1
n/4 = 4
n = 4*4
n = 16
Answer:
So do this,
Step-by-step explanation:
stand up and go ask your mom!
Rewrite the equation below so that it does not have fractions.
3 - 3/4x = 5/8
Answer:
3 - 0.75x= .625
Step-by-step explanation:
3/4=0.75
5/8=0.625
Please help me...I need to turn this in PLZZZZ!!!!!!
Answer:
i believe its C
Step-by-step explanation:
Answer:
52 degree angle
Inez says you can plot 40 on a number line, but Jeremiah says you cannot. Who is correct?
Use the drop-down menus to explain your answer.
Answer:
I am correct
Step-by-step explanation:
⊕
7 X-4 = *
A) 28
B) 11
C) -11
D) -28
Answer:
7*-4=-28
Step-by-step explanation:
7*-4=-28
HELP QUICK
Standing side by side, a woman casts a 41.4-inch shadow and her 40-inch-tall son casts a 24-inch shadow. What is the height of the woman to the nearest inch?
Answer:
25 inches
Step-by-step explanation:
Given
Son:
[tex]Height = 40\ inch[/tex]
[tex]Shadow = 24\ inch[/tex]
Woman:
[tex]Height = 41.4\ inch[/tex]
Required
Determine the height of the woman's shadow
From the question, the height is directly proportional to the height of the shadow:
So, we have:
[tex]40\ inch = 24\ inch[/tex] --- For the son
and
[tex]41.4\ inch = x[/tex]
Where x represents the shadow of the woman
Cross Multiply:
[tex]x * 40 = 24 * 41.4[/tex]
[tex]x * 40 = 993.6[/tex]
[tex]40x = 993.6[/tex]
Make x the subject
[tex]x = 993.6/40[/tex]
[tex]x = 24.84[/tex]
[tex]x = 25[/tex] ---- approximated
Hence, the woman's shadow is 25 inches tall
1) The newly opened Mario's Trattoria is expected to produce a continuous income stream at the rate of
R(t) = 130,000
dollars/year for the next 3 years. If the prevailing interest rate is 3.6%/year compounded continuously, find the future value of this income stream. (Round your answer to two decimal places.)
2) Suppose an investment is expected to generate income at the rate of
R(t) = 200,000
dollars/year for the next 9 years. Find the present value of this investment if the prevailing interest rate is 8%/year compounded continuously. (Round your answer to two decimal places.)
3) Camille purchased a 14-year franchise for a computer outlet store that is expected to generate income at the rate of
R(t) = 400,000
dollars/year. If the prevailing interest rate is 10%/year compounded continuously, find the present value of the franchise. (Round your answer to the nearest whole number.)
Answer:
Step-by-step explanation:
1) The newly opened Mario's Trattoria is expected to produce a continuous income stream at the rate of
R(t) = 130,000 to generate income at the rate of
R(t) = 200,000 Camille purchased a 14-year franchise for a computer outlet store that is expected to generate income at the rate of
R(t) = 400,000
Sarah joined an online music store. She wants to spend no more than $75 at the music
store. The cost of her yearly membership is $15.99 and the price to download a song
$0.79. What number of songs can Sarah download and stay within her budget.
Answer:
sarah can buy 88 songs
Step-by-step explanation:
filler fbjebdjsndjen
Answer:
sarah has to give her 15.99 from 75 after that she will be left with 59.01 and with that she can buy 74 songs
how many real solutions will y=x^2 and y=-2x have? what are the solutions?
Answer:
there is none
Step-by-step explanation:
Answer:
No solutions
Step-by-step explanation:
Real number solutions only or real and complex solutions. A solution to the system:
y=-2x+2
y=x2-2x+4
is the value of x such that when you plug it into both equations, they both produce the same value of y, or the value of x such that
-2x+2=x2-2x+4
solving this equation----------> x2=-2, taking square root of both sides gives x= ±√2i, or the system has no real solutions but has 2 complex solutions. If you graph both functions in the xy-plane, where x, y are real numbers, you' ll see they do not intersect, which implies there is no real number solutions.
HURRY !!!!
i need help with this question
9. For the given circle, find the value of x and y.
Answer:
answer
Step-by-step explanation:
x=0 with both
3. From the table below, find Prof. Xin expected value of lateness. (5 points) Lateness P(Lateness) On Time 4/5 1 Hour Late 1/10 2 Hours Late 1/20 3 Hours Late 1/20
Answer:
The expected value of lateness [tex]\frac{7}{20}[/tex] hours.
Step-by-step explanation:
The probability distribution of lateness is as follows:
Lateness P (Lateness)
On Time 4/5
1 Hour Late 1/10
2 Hours Late 1/20
3 Hours Late 1/20
The formula of expected value of a random variable is:
[tex]E(X)=\sum x\cdot P(X=x)[/tex]
Compute the expected value of lateness as follows:
[tex]E(X)=\sum x\cdot P(X=x)[/tex]
[tex]=(0\times \frac{4}{5})+(1\times \frac{1}{10})+(2\times \frac{1}{20})+(3\times \frac{1}{20})\\\\=0+\frac{1}{10}+\frac{1}{10}+\frac{3}{20}\\\\=\frac{2+2+3}{20}\\\\=\frac{7}{20}[/tex]
Thus, the expected value of lateness [tex]\frac{7}{20}[/tex] hours.
An expected value is the theoretical mean value of a numerical experiment over many repetitions of the experiment.
Expected value of lateness is [tex]\frac{7}{20}[/tex] hours.
Let us consider, P(x) is represent that probability of lateness and x represent number of hours late.
So, below a table is formed.
x 0 1 2 3
P(x) 4/5 1/10 1/20 1/20
From formula of expected value,
E(x) = ∑ x P(x)
[tex]E(x)=(0*\frac{4}{5} )+(1*\frac{1}{10} )+(2*\frac{1}{20} )+(3*\frac{1}{20} )\\\\E(x)=0+\frac{1}{10}+\frac{1}{10}+\frac{3}{20} \\\\E(x)=\frac{7}{20}[/tex]
So, expected value of lateness is 7/20 hours.
Learn more:
https://brainly.com/question/23286309
Find the smallest natural number that is a multiple of 45 and where all of its digits are zeros and ones.
Answer:
1111111110
Step-by-step explanation:
45 is 9, and 5.
9 divisibility rule: Digits have to add up to 9.
We know this has to be 1's and 0's.
So there has to be 9 1's.
111111111.
5 divisibility rule: Last digit has to be 0 or 5.
1111111110 will be our final answer.
Wait- let's check if it's divisible. Using a calculator, this determines it does work.
Enjoy.
a single serving of a cereal breakfast contains 18 grams of carbohydrates. this is 6% of the daily recommended allowance for 2000-calorie diet. how many grams of carbohydrates are recommended each day for a person on 2000 calorie diet.
Answer:
300g
Step-by-step explanation:
Given parameters:
Mass of carbohydrate in the cereal meal = 18g
Unknown:
Grams of carbohydrate recommended each day = ?
Solution:
The 18grams of the carbohydrate is just 6% of the total carbohydrate need per day;
6% x total carbohydrate recommendation = 18
[tex]\frac{6}{100}[/tex] x total carbohydrate = 18
Total carbohydrate = 18 x [tex]\frac{100}{6}[/tex] = 300g
Answer:
The answer is 300 grams of carbs on a 2000-calorie diet!
Step-by-step explanation:
Mass = 18g
daily allowance: ???
6% x total carbohydrate recommendation = 18
x total carbohydrate = 18
Total carbohydrate = 18 x = 300g on a 2000-calorie diet
Solve: 2x + 15 = -3x
Please help me out! I need to solve for X
Answer:
X=-3
Step-by-step explanation:
2x+15=-3x
15=-5x
x=15/-5
x=-3
Answer:
x = -3
Step-by-step explanation:
2x + 15 = -3x
15 = -5x
x = -3
Help plsssssssssssssssssssssss thanks so much
Answer:
Amelie drove 3/4 mile.She then drove another 8/9 mile. How many miles did she drive in all?
Step-by-step explanation:
4
Why does the value of money in a savings account increase over time?
OA.
because it earns interest
B.
because future value is always less than present value
O C.
because future value is always equal to present value
OD.
because it is not spent
Reset
Please I need help with this question.
In the store Sara is shopping at, 1 cardboard box with glitter is $10 per box. The other type of cardboard box is $6 per box that has no design. If Sara spent $130, how much of boxes did she get (what type)? What quantity?
Answer:
(There are so many answers to this question) she could have gotten 13 glitter boxes and none of the other boxes.
Step-by-step explanation:
13x10=130
Answer: 13 glitter cardboard boxes that are $10
Step-by-step explanation:
We have to divide the number $130 by both numbers each cardboard box costs, designed glitter boxes that are $10 and plain cardboard boxes are 6 each. So, let's do that right now.
130 ÷ 6 = 23.333
Sara only bought 13 cardboard boxes, so it is no the answer.
Now, let's try the second number that is $10. We have to remember that the answer has to be 13. So, let's do that as well right now.
130 ÷ 10 = 13
We see that we get 13 while we divide 130 by 10, so Sara bought 13 designed glitter cardboard boxes.
The answer to the question is 13 glitter cardboard boxes that are $10.
Hope this helps you!
Market research suggests that in a five year period 8% of people with cable television will get rid of it, and 26% of those without it will sign up for it. Compare the predictions of the Markov chain model with the following data on the fraction of people with cable TV: 56.4% in 1990, 63.4% in 1995, and 68.0% in 2000. What is the long run fraction of people with cable TV?
Answer: in the long run, 76.47% will have Cable TV
Step-by-step explanation:
Given the data in the question;
the matrix of transition from having cable TV to not having cable TV is
P = [ 0.92 0.08
0.26 0.74 ]
Now if [ 0.564 0.436 ] is the distribution in 1990,
then in 1995 we have;
[ 0.564 0.436 ] [ 0.92 0.08 = [ 0.6322 0.3678 ]
0.26 0.74 ]
so 63.22% will have cable TV in 1995
[ 0.6322 0.3678 ] [ 0.92 0.08 = [ 0.6773 0.3227 ]
0.26 0.74 ]
also 67.73% will have cable TV in 2000
let V = [ V1 V2 ] be the long run vector then
V1 + V2 = 1 ------lets say equ1 and VP = V
⇒[ V1 V2 ] [ 0.92 0.08 = [V1 V2 ]
0.26 0.74 ]
⇒0.92V1 + 0.26V2 = V1
0.08V1 + 0.74V2 = V2
OR 0.26V2 = 0.08V1
from equ 1, V1 = (1 - V2)
SO
0.26V2 = 0.08 (1 - V2)
0.26V2 = 0.08 - 0.08V2
0.34V2 = 0.08
V2 = 0.08 / 0.34
V2 = 0.2353
THUS
0.26V2 = 0.08V1
0.26(0.2353) = 0.08V1
0.061178 = 0.08V1
V1 = 0.061178 / 0.08
V1 = 0.7647
Therefore in the long run, 76.47% will have Cable TV
TRUE OR FALSE?!?!?!!??!?!?!
Answer:
False
Step-by-step explanation:
Cause the graphs show false instead of being true
The art department is ordering paint supplies for their next project. They have $200 in their budget for paint and brushes. Each paint tube costs $12 and each brush costs $2. If the department buys 27 brushes, what is the most number of paint tubes they can buy?
Answer:
12
Step-by-step explanation:
27 times2 is 54 -200 =146 12 times 12 is 144 and you cant go over 146 for 13 please mark brianly
The volume of blood pumped from your heart varies directly with your pulse rate. Each time your heart beats it pumps 0.06 liter of blood.
1. Write an equation that relates the volume of blood and pulse.
2. If your pulse is 74 bpm, how much blood is being pumped from your heart each minute?
2/5x+1/4x=39
what is x
Answer:
x is equal to 60
Answer:
x= 700 /13
Step-by-step explanation:
Which statement describes the expression 9(8 + 25)?
1.9 times the quantity 8 times 25
2.9 times the quantity 8 plus 25
3. 25 more than 9 times s
4.25 more tha 9 plus s
Answer:
2
Step-by-step explanation:
ez any thing else just hit me up of so
1/x+x/2=11/6 transformable to quadratic equations
Note: Consider we need to find the solution of given equation.
Given:
The equation is
[tex]\dfrac{1}{x}+\dfrac{x}{2}=\dfrac{11}{6}[/tex]
To find:
The solution of the equation.
Solution:
We have,
[tex]\dfrac{1}{x}+\dfrac{x}{2}=\dfrac{11}{6}[/tex]
[tex]\dfrac{2+x^2}{2x}=\dfrac{11}{6}[/tex]
By cross multiplication, we get
[tex]6(2+x^2)=11(2x)[/tex]
[tex]12+6x^2=22x[/tex]
[tex]6x^2-22x+12=0[/tex]
[tex]2(3x^2-11x+6)=0[/tex]
Divide both sides by 2.
[tex]3x^2-11x+6=0[/tex]
Splitting the middle term, we get
[tex]3x^2-9x-2x+6=0[/tex]
[tex]3x(x-3)-2(x-3)=0[/tex]
[tex](x-3)(3x-2)=0[/tex]
Using zero product property, we get
[tex]x-3=0[/tex] and [tex]3x-2=0[/tex]
[tex]x=3[/tex] and [tex]x=\dfrac{2}{3}[/tex]
Therefore, the solutions of the given equation are [tex]x=3[/tex] and [tex]x=\dfrac{2}{3}[/tex].
Quadratic equations are algebraic equations that can be factored or broken down into simpler forms(factors).
Transforming 1/x+x/2=11/6 to quadratic equations is 3x² - 11x + 6 = 0
We are given the algebraic equation: 1/x+x/2=11/6
Transforming it into a quadratic equation, we find the Lowest common denominator of the fractions in the quadratic equations.
LCD(x,2,6) = 6x
Multiply all through the fractions by 6x
(1/x * 6x)+ (x/2 * 6x) = (11/6 * 6x)
6 + 3x² = 11x
Rewriting the equation:
3x² - 11x + 6 = 0
Therefore, transforming 1/x+x/2=11/6 to quadratic equations is 3x² - 11x + 6 = 0
To learn more, visit the link below:
https://brainly.com/question/18251794
Simplify 3x ^ 2 - 4 +2x -1 + x^ 2 then evaluate for x = - 1
Step-by-step explanation:
4x^2+2x-5
4(-1)^2+2(-1)-5
4-2-5
2-5= -3
4252.50=(18000)(r)(54)
Step-by-step explanation:
do you want to find r?
so do 4252.50/ (18000*54)
What type of triangle can have one right angle?
Answer:
A right triangle and an isosceles
Step-by-step explanation: