Answer: [tex]\frac{1}{x^{4} }[/tex]
Suppose a life insurance company sells a ​$190,000 ​one-year term life insurance policy to a 19​-year-old female for ​$290. The probability that the female survives the year is 0.999563. Compute and interpret the expected value of this policy to the insurance company.
Answer:
The expected value of this policy to the insurance company is $206.97
Step-by-step explanation:
Probability that Person doesn't die = 0.999563. Profit = Revenue - Cost; Profit = $290 - 0 = $290
Probability that Person dies = 1 - 0.999563 = 0.000437. Profit = Revenue - Cost; Profit = $290 - $190,000 = -$189,710
Expected Value E(X) = ∑xp(x)
E(X) = $290*(0.999563) + (-$189,710* 0.000437)
E(X) = $289.87327 - $82.90327
E(X) = $206.97
Thus, the expected value of this policy to the insurance company is $206.97
You measure 22 watermelons' weights, and find they have a mean weight of 36 ounces. Assume the population standard deviation is 6.9 ounces. Based on this, construct a 95% confidence interval for the true population mean watermelon weight. Give your answers as decimals, to two places
Answer:
Step-by-step explanation:
Confidence interval formula is expressed as;
CI = xbar ±(z*s/√n)
xbar is the mean = 36
z is the z score at 95% CI = 1.96
s is the standard deviation = 6.9
n is the sample size = 22
Substitute
CI = 36 ±(1.96*6.9/√22)
CI = 36 ±(1.96*6.9/4.6904)
CI = 36 ±(1.96*1.4711)
CI = 36 ± 2.8833
CI = (36 - 2.8833, 36 + 2.8833)
CI = (33.1167, 38.8833)
Hence the 95% CI for the true population mean is 33.12<x<38.88
For all numbers x, f(x) = 3x + 3. What is the value of
f(3)?
What are the solutions to the quadratic equation 4(x + 2)2 = 36 x = −11 and x = 7 x = −7 and x = 11 x = −5 and x = 1 x = −1 and x = 5
Answer:
c
Step-by-step explanation:
edge2020
The solutions to the quadratic equation 4(x + 2)² = 36 is x = -5 and x = 1.
Hence, option c) x = -5 and x = 1 is the correct answer.
What is a Quadratic Equation?
Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;
ax² + bx + c = 0
Where x is the unknown
To solve for x, we use the quadratic formula
x = (-b±√(b² - 4ac)) / (2a)
Given that;
4(x + 2)² = 36
4( x(x + 2) + 2(x+2) ) = 36
4( x² + 2x + 2x + 4 ) = 36
4( x² + 4x + 4 ) = 36
4x² + 16x + 16 = 36
4x² + 16x + 16 - 36 = 0
4x² + 16x - 20 = 0
We can further simply ( divide through by 4 )
x² + 4x - 5 = 0
Hence,
a = 1b = 4c = -5x = (-b±√(b² - 4ac)) / (2a)
x = (-4±√(4² - (4 × 1 × -5)) / (2×1)
x = (-4±√(16 - (-20)) / (2)
x = (-4±√(16 + 20)) / (2)
x = (-4±√(36)) / 2
x = (-4±6)) / 2
Hence
x = (-4-6)) / 2 and x = (-4+6)) / 2
x = -10/2 and x = 2/2
x = -5 and x = 1
The solutions to the quadratic equation 4(x + 2)² = 36 is x = -5 and x = 1.
Hence, option c) x = -5 and x = 1 is the correct answer.
Learn more about quadratic equations here: brainly.com/question/1863222
#SPJ2
Need help with this problem please! I believe it is b but I get a different answer everytime I redo it!
Answer:
no u right its b
Step-by-step explanation:
Please help me I need help?!!!
Answer:
B
Step-by-step explanation:
Principal = $500 Interest rate =5% Time = 5 years What is the interest earned?
Answer:
125dollars
Step-by-step explanation:
follow me say a thanks mark me branliest
You need to make at least 360 wraps for a party. You can make 9 wraps per minute.
How long will it take you to make the number of wraps you need?
In two or more complete sentences write and solve an inequality for the situation and explain how you will solve the inequality.
Answer:
40 minutes
Step-by-step explanation:
What the person above/below me is saying, is you have to divide 360 and 9, to find x! X=40, 360/9=40! That's what they mean. I hope this helped you understand their answer!
It will take 40 minutes for me to make the 360 wraps that I need.
9x ≥ 360 ⇒ x ≥ 40
Step-by-step explanation:
I have to make at least 360 wraps for a party.
I can make 9 wraps per minute.
So, it will take minutes for me to make the 360 wraps that I need.
If I work for x minutes to make wraps, then I will be able to make 9x wraps.
So, the inequality that models the given condition is
9x ≥ 360
⇒ x ≥ 40 {Dividing both sides by 9}
Therefore, I need to work at least 40 minutes to reach my goal. (Answer)
6. What is the equation in slope-intercept form for the graph shown?
A) y + x = −2
B) y = 2x + 1
C) y – 2x = 1
D) y = –2x + 1
graph 3x-2y=6 how do you graph this in algebra
Answer:
I don't have algebra but I suggest looking it up and it might show you at the very top.
Step-by-step explanation:
Hope this helps you:)
13.25 x 64 please awnser it's for a test and I have no idea what it is.
Answer :
13.25 x 64
=848
Answer:
453x ^64 /4
Step-by-step explanation:
Amy makes $84 for 12 hours of babysitting her first week on the job. The second week she babysits for 14
hours and earns $98. The third week she babysits for 20 hours and earns $140. She makes a regular
amount of pay per hour. Which equation below could be used to calculate her total earnings each week,
E, based on the number of hours she babysits, n?
Answer: she won: 322
Step-by-step explanation:
first add all the amounts of money she got for babysitting some devils, and there your equation is DONE
Can Y’all Please Help Me ❗️
Answer:
T
t
f
t
Step-by-step explanation:
find the 8th term of the geometric sequence 4, -20, 100, ...
Answer:
312500
Step-by-step explanation:
I believe the pattern is x5 x-5 x5 x-5 and if you follow that pattern, you get 312500. im sorry if im wrong
Pleeeeeeeeeeeeeeeeaaaaaaaaaaaaaasssssssssssssseeeeeeee help ASAP and giving 33 points the ma is the -2 and the 5 and t is -4 and h is -8
Answer:
-320
Step-by-step explanation:
-2×5 (-4×-8)
-10(32)
-10×32
-320
what is 0.44×(−534) ??
Answer:
−234.96
Step-by-step explanation:
Hope its the right answer that you're looking for :)
Tristan and two of his friends purchased tickets to a school play. Tristan paid for all the tickets with a $50.00 bill and received $23.00 in change. If Tristan used a coupon for 25% off, what was the original price for one ticket?
-$6.75
-$9.00
-$12.00
-$27.00
Answer: 27.00
Step-by-step explanation:
$50 - $23 = $27
Answer:
$27.00
Step-by-step explanation:
"D"
PLEASE HELP ITS ALREADY LATE
I neees help please
emilio used addition of two rational numbers to solve a problem.Jim used subtraction to solve the same problem. Is it possible that they both solved the problem correctly? Use a specific example to explain
Answer:
yes it is possible.
for example: +7-7=0
Step-by-step explanation:
How do I solve for x 7x–1=125
Answer:
x=18
Step-by-step explanation:
You add 1 on each side so you have 7x=126. Then you divide each side by 7, so you get x=18! Hope this helps!
The price of stock A at 9 a.m. was $15.75. Since then, the price has been increase at rate of $.05 per hour. At noon , the price of stock B was $16.53. It begin to decrease at the rate of $.13 per hour. If the stock continue to increase and decrease at the same rate, in how many hours will the price of the stocks be the same?
Answer:
Step-by-step explanation:
15.75 plus .05x = 16.53-.13x
.78=.18x
4.3 hours is your answer
PLSSSS JUST SOLVE IT WITH THE INSTRUCTION IT GIVES PLSS THANK YOU
Answer:
area=47cm²
Step-by-step explanation:
a duck swam 10.5 kilometers in 3 hours. how many kilometers per hour did the duck swim
Answer:
3.5 km
Step-by-step explanation:
its 10.5 divided by 3 to get this answer
plz give me brainliest i need it plz
2(5x−2)− 2x -2 =34
Solve for x
Rewrite the expression in the form b^n
Answer:
b 15/4
Step-by-step explanation:
If X = 6 Which number line shows the value of X? Good answer gets brainliest
Answer:
B
Step-by-step explanation:
The absolute value of a number means its distance from zero.
Therefore:
I-6I=6
Answer B shows that -6 is 6 units on the number line from zero, so that is the correct answer.
1. Write an expression for 8 less than 2
times a number.
Answer:
8<2x
Step-by-step explanation:
Answer:
8<2x
Step-by-step explanation:
I hope this helped! :D
Find the minimum sample size you should use to assure that your estimate of pÌ will be within the required margin of error around the population p. Assume the Margin of error is 0.08 with a confidence level of 95%. From a prior study, pÌ is estimated to be 0.2.
Answer:
The minimum sample size required is 97.
Step-by-step explanation:
The (1 - α)% confidence interval for the population proportion is:
[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
The margin of error for this confidence interval is:
[tex]MOE=z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
The information provided is:
[tex]\hat p=0.20\\MOE=0.08\\\text{Confidence level}=95\%[/tex]
The critical value of z for 95% confidence level is, z = 1.96.
Compute the minimum sample size required as follows:
[tex]MOE=z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
[tex]n=[\frac{z_{\alpha/2}\cdot\sqrt{\hat p(1-\hat p)}}{MOE}]^{2}\\\\=[\frac{1.96\times \sqrt{0.20(1-0.20)}}{0.08}]^{2}\\\\=96.04\\\\\approx 97[/tex]
Thus, the minimum sample size required is 97.
A business is owned by 3 people. Mrs. Applegate owns
3
19
of the business. Mrs. Brown owns 3 times as much as
Mrs. Charles. What fractional part of the business does Mrs. Brown own?
Given:
Mrs. Applegate owns [tex]\dfrac{3}{19}[/tex] of the business.
Mrs. Brown owns 3 times as much as Mrs. Charles.
To find:
The fractional part of the business that Mrs. Brown owns.
Solution:
Let Mrs. Charles owns x part of business.
Mrs. Brown owns 3 times as much as Mrs. Charles.
Mrs. Brown owns = 3x part of business.
Mrs. Applegate owns [tex]=\dfrac{3}{19}[/tex] of the business.
[tex]x+3x+\dfrac{3}{19}=1[/tex]
[tex]4x=1-\dfrac{3}{19}[/tex]
[tex]4x=\dfrac{19-3}{19}[/tex]
[tex]4x=\dfrac{16}{19}[/tex]
Divide both sides by 4.
[tex]x=\dfrac{16}{4\times 19}[/tex]
[tex]x=\dfrac{4}{19}[/tex]
Now,
Mrs. Brown owns [tex]=3\times x[/tex]
[tex]=3\times \dfrac{4}{19}[/tex]
[tex]=\dfrac{12}{19}[/tex]
Therefore, Mrs. Brown owns [tex]\dfrac{12}{19}[/tex] of the business.
Graph the linear equation 4x+9y=36 solving for y
Answer:
y=4-4/9x x=9-9/4y
Step-by-step explanation:
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Poooo sieieoleltlrllrlr
Answer:
ol rjlrjlfjcohcoucoycl lj
Answer:
:3
Step-by-step explanation: