Answer:
By 71 years of age 80% of the plan participants have passed away.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 68 years and a standard deviation of 4 years.
This means that [tex]\mu = 68, \sigma = 4[/tex]
By what age have 80% of the plan participants passed away?
By the 80th percentile of ages, which is X when Z has a p-value of 0.8, so X when Z = 0.84.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.84 = \frac{X - 68}{4}[/tex]
[tex]X - 68 = 4*0.84[/tex]
[tex]X = 71[/tex]
By 71 years of age 80% of the plan participants have passed away.
28, 45, 12, 34, 36, 45, 19,20
Part 1: Find the mean of this set of data.
Part 2: Find the mean absolute deviation of this set of data.
Part 3: Using complete sentences, explain what your results for part A and B mean.
i really need an answer for part c
Part A
To find the mean, we add up the values and divide by n = 8 since there are 8 values in this set.
Adding the values gets us
28+45+12+34+36+45+19+20 = 239
Dividing this over 8 then leads to 239/8 = 29.875
Answer: 29.875============================================================
Part B
We'll subtract each data value from the mean. We apply absolute value to ensure the result is never negative.
|28 - 29.875| = 1.875 |45 - 29.875| = 15.125 |12 - 29.875| = 17.875 |34 - 29.875| = 4.125 |36 - 29.875| = 6.125 |45 - 29.875| = 15.125 |19 - 29.875| = 10.875 |20 - 29.875| = 9.875The list of results we get so far is:
1.875, 15.125, 17.875, 4.125, 6.125, 15.125, 10.875, 9.875
This represents the distance each value is from the mean.
Add these values up and divide by n = 8
1.875+15.125+17.875+4.125+6.125+15.125+10.875+9.875 = 81
81/8 = 10.125
Answer: 10.125============================================================
Part C
The result of part A is one way to measure the center of the distribution of values. It's the average value, which can more or less represent the entire group. Think of it being like how people vote in a senator to represent them in congress. Ideally, this senator is a supposed "average" person to represent everyone.
The result of part B builds on what part A found. The result of part B is the average distance each value is from the center. This is because each time we subtracted and applied absolute value, we found the distance that item was from the mean.
Example: The calculation |28 - 29.875| = 1.875 shows that 28 is exactly 1.875 units from the mean 29.875
By adding up those results and dividing by 8, we are finding the average distance from the mean. Effectively, it tells us how spread out the data set is. The mean absolute deviation (MAD) is a measure of spread in a similar fashion that the standard deviation is, or in a more looser sense, the range is as well.
---------------
In short, the result of part A is a measure of center while the result of part B is a measure of spread. I use "a" instead of "the" because there are other measures of center and other measures of spread.
Matt buys a new fish tank. The fish tank is in the shape of a cuboid. The diagram shows water in the tank. 30 cm 30 cm 100 cm Matt knows 1000 cm' = 1 litre 1 gallons = 4.5 litres He can keep 2 small fish in the tank for every 1 gallon of water in the tank. Matt thinks he can keep more than 36 small fish in the tank. Is Matt correct?
Answer: Yes, but only if he houses 37, 38, 39, or 40 fish
Anything larger than 40 and he'll need more room.
==========================================================
Explanation:
The tank is 30 cm by 30 cm by 100 cm. The volume is 30*30*100 = 90,000 cm^3 which is shorthand for "cubic centimeters".
We're told that 1000 cm^3 = 1 liter, which means the 90,000 cm^3 converts to (90,000)/(1000) = 90 liters.
The fish tank is 90 liters.
Since 1 gallon = 4.5 liters, this means the 90 liter tank converts to 90/(4.5) = 20 gallons
----------------------------
Your teacher mentions "He can keep 2 small fish for every 1 gallon".
Since the tank is 20 gallons, that means he can keep 20*2 = 40 fish. This value is larger than 36, so Matt is correct to a point. If Matt is thinking 37, 38, 39, or 40 fish then he would be correct. If Matt is wanting more than 40 fish, then he'll need a bigger tank.
In short, he can't have any number over 36 and can only have 4 specific values (the four values mentioned earlier).
So technically, Matt is correct, but strong clarification is needed.
PLS PLS PLS ANSWER!!!!!
Answer:
1. 0.02
2. 100%
3. 3.66
4. 125
Hope this helps c;
An organic farm has been growing an heirloom variety of summer squash. A sample of the weights of 40 summer squash revealed that the mean weight is 402.7 grams and the standard deviation 8.8 grams. What is the probability that the mean weight for a sample of 40 summer squash exceeds 405.5 grams?
a. 0.3783.
b. 0.0228.
c. 1.0000.
d. 0.5000.
Answer:
b. 0.0228
Step-by-step explanation:
We are given that
n=40
Mean,[tex]\mu=402.7 g[/tex]
Standard deviation, [tex]\sigma=8.8[/tex]g
We have to find the probability hat the mean weight for a sample of 40 summer squash exceeds 405.5 grams.
[tex]P(x>405.5)=P(\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}>\frac{405.5-402.7}{\frac{8.8}{\sqrt{40}}})[/tex]
[tex]P(x>405.5)=P(Z>\frac{2.8}{\frac{8.8}{\sqrt{40}}})[/tex]
[tex]P(x>405.5)=P(Z>2.01)[/tex]
[tex]P(x>405.5)=1-P(Z\leq 2.01)[/tex]
[tex]P(x>405.5)=1-0.977784[/tex]
[tex]P(x>405.5)=0.022216[/tex]
Hence, option b is correct.
Which similarity statement is true?
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Answer:
(a) ΔWZY ~ ΔWXZ ~ ΔZXY
Step-by-step explanation:
In order for the similarity statement to be correct, the corresponding sides need to be listed in the same order.
A: ΔWZY lists sides in order short leg (WZ), long leg (ZY).
ΔWXZ lists sides in order short leg (WX), long leg (XZ).
ΔZXY lists sides in order short leg (ZX), long leg (XY).
The first similarity statement is correct.
__
You can compare this to an incorrect one, the last one, for example.
ΔYZW lists sides in order long leg (YZ), short leg (ZW).
ΔXZW lists sides in order long leg (XZ), hypotenuse (ZW). Hypotenuse and short leg are not corresponding sides, so the similarity statement is incorrect.
Help me with this please!!
Answer:
[tex]y=\sqrt{x} -2[/tex]
Step-by-step explanation:
If you were to replace x with 0 in each of the equations, you would get
from top to bottom choices:
[tex]\sqrt{2}[/tex]
[tex]\sqrt{-2}[/tex]
2
-2
Since we can see that the line touches the y-axis on the number -2, we know that it is the last choice that is the answer
One of the angles of a pair of complementary angles is 50°. Find the ratio of the pair of complementary angles
Answer:
4:5
Step-by-step explanation:
A pair of complementary add up to 90, given that one of them is 50, we can do this: x + 50 = 90
solve it and we get x = 40
40 + 50 = 90, so 40 and 50 are the pair of complementary angles.
As for it's Ratio, we can just get the pair and have it as 40:50 but we can reduce it to 4:5
a neon light flashes 5 times every 10 seconds. show that the light flashes 43200 times in a day
Answer: 432000
Step-by-step explanation: (Amount of seconds in a day ->) 86400÷2 (<- 5 times every 10 seconds is 1 flash every 2 seconds so yes, 2) = 43200 (<-Yay Answer-! )
a recent survey shows that 16% of college students have dogs and 38% have an HBO subscription. assuming these two events are independent, what is the probability that a randomly selected college student has neither a dog nor HBO
Answer: [tex]0.939\ or\ 93.9\%[/tex]
Step-by-step explanation:
Given
Survey shows that 16% of college students have dogs and 38% have HBO subscription
Probability that a random person have both is
[tex]\Rightarrow P_o=0.16\times 0.38\quad [\text{As both events are independent}]\\\Rightarrow P_o=0.0608[/tex]
The probability that the random person has neither of the two is
[tex]\Rightarrow P=1-P_o\\\Rightarrow P=1-0.0608\\\Rightarrow P=0.939[/tex]
PLEASE DONT AWNSER ANYTHING RANDOM I REALLY NEED THIS AND DO YOUR OWN AWNSER
Which statements about the box plot are correct? Check all that apply.
A box and whisker plot. The number line goes from 30 to 80. The whiskers range from 34 to 76, and the box ranges from 42 to 70. A line divides the box at 46.
Fifty percent of the data values lies between 34 and 46.
Seventy-five percent of the data values lies between 42 and 70.
It is unlikely that there are any outliers.
The interquartile range is 24.
The range is 36.
Answer:
Fifty percent of the data values lies between 34 and 46.
It is unlikely that there are any outliers.
Step-by-step explanation:
drawing out this box plot and looking online for a picture of the same plot:
From the box plot:
median=46
Q1=42
Q3=70
Q3-Q1= IQR=70-42=28
max=76
min=34
Range=max-min=76-34=42
no outliers seen from boxplot
Answer:
that person is right
Step-by-step explanation:
Select the correct answer.
Solve for x.
B.
C.
D.
Answer:
C. [tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]20x - 40 = 100x[/tex][tex]20x - 100x = 40[/tex][tex]- 80x = 40[/tex][tex]x = -\frac{40}{80}[/tex][tex]x = -\frac{1}{2}[/tex]Find the lengths the missing side
Answer:
Long leg = 10√3Short leg = 10Hypotenuse = 20Step-by-step explanation:
Concept:
Here, we need to know the idea of a special triangle 30-60-90.
A special right triangle is a right triangle with some regular feature that makes calculations on the triangle easier, or for which simple formulas exist.
The ratio between the corresponding side of each angle is 1 : √3 : 2
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
30-60-90 ⇔ 1 : √3 : 2
Given the side corresponding to 90° is 20
30° : 90° = 1 : 2
30° : 20 = 1 : 2
30° = 10
30° : 60° = 1 : √3
10 : 60° = 1 : √3
60° = 10√3
Hope this helps!! :)
Please let me know if you have any questions
Two planes are the same altitude. From the airport , one plane is 50 km away in the direction of N°60 E and another is 80 km away in the direction of S50° E .How far apart are the two planes
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Answer:
78.5 km
Step-by-step explanation:
Measured at the airport, the angle between the two planes is ...
180° -60° -50° = 70°
The law of cosines tells us the distance between the planes is ...
d = √(50² +80² -2·50·80·cos(70°)) ≈ √6163.84 ≈ 78.5 . . . km
The planes are about 78.5 km apart.
Yousef is making cookies for a friend's birthday. The recipe only makes one dozen cookies, and he wants to take 4 dozen to the birthday
party. If he needs 1 cups of flour to make one dozen, how much flour will he need to make 4 dozen? Simplify your answer and write it as
a mixed number
Answer:
6 and 2/3
Step-by-step explanation:
you do 1 2/3 x 4 because that is the amount of flour you need to make one batch. That is the correct answer.
(-1/2^5)×2^3×(3/4^2) [EVALUATE]
Step-by-step explanation:
here's the answer to your question
There were 230 shoppers at an electronics store on opening day. The specials that day allowed 21% of shoppers to receive a free set of earbuds and 25% of shoppers to receive $5 off their first purchase. Answer parts a and b.
a. About how many shoppers received a free set of earbuds? Use an equivalent fraction to estimate.
b. About how many shoppers received $5 off their first purchase? Round the number of shoppers to the nearest whole number.
Answer:
a) About 48 of the shoppers, that is [tex]230\frac{21}{100}[/tex] of the shoppers, received a free set of earbuds.
b) About 58 shoppers, that is [tex]\frac{230}{4}[/tex] received $5 off their first purchase.
Step-by-step explanation:
a. About how many shoppers received a free set of earbuds?
21% out of 230. So
[tex]230\frac{21}{100} = 2.3(21) = 48.3[/tex]
About 48 of the shoppers, that is [tex]230\frac{21}{100}[/tex] of the shoppers, received a free set of earbuds.
b. About how many shoppers received $5 off their first purchase?
25% out of 230, so:
[tex]230\frac{25}{100} = 230\frac{1}{4} = \frac{230}{4} = 57.5[/tex]
About 58 shoppers, that is [tex]\frac{230}{4}[/tex] received $5 off their first purchase.
what is the value of x, given that figure MNOP is a trapezoid with median qr A. 12 B. 8 C. 6 D. 16
The answer is D. Because if we put 16 in place of x, MP, NO will be 24, 16 respectedly
Step-by-step explanation:
So all horizontal line will be decrease from line MP to No.
As result MP will be = 24, QR = 20, NO = 16. We can see there's different of 4.
The value of x in the trapezoid is 16.
Option D is the correct answer.
What is a trapezium?It is a quadrilateral that has one pair of parallel sides and a height.
The area is calculated as: 1/2 x sum of the parallel sides x height.
Examples:
Area of a trapezium that has the parallel sides as 3 cm and 4 cm and a heght o 5 cm.
Area = 1/2 x (3 + 4) x 5
Area = 1/2 x 7 x 5
Area = 35/2 = 17.5 cm^2
We have,
In a trapezoid, the median is the average of the parallel sides,
So we have:
QR
= (NO + MP)/2
= (x + x + 8)/2
= (2x + 8)/2
= x + 4
Since we also know that QR = 20, we can set the two expressions equal to each other and solve for x:
x + 4 = 20
x = 16
Therefore,
The value of x is 16.
Learn more about trapezium here:
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If 400 patrons visit the park in March and 550 patrons visit in April, the total number of patrons who
visited the park over the two months falls into all of the following categories except
O real numbers
O rational numbers
o irrational numbers
What is the value of the expression below?
e^In 4
O A. 12
B. 3
C. 4.
D. 8
SUBMI
Answer:
C. 4
Step-by-step explanation:
ln(4) = the power of e to get 4.
and then we put e to the power of that answer, so the result must be 4.
what value makes the equation
Answer:
n = .25
Step-by-step explanation:
For the equation to be true, both sides must be equal.
20 * 4 * 3 * n = 5 * 12
240 * n = 60
n = 60/240
n = .25
Answer:
1/4
Step-by-step explanation:
20×n×4×3=5×12
or, 240n=60
or, n=60/240
or, n=1/4
Answered by GAUTHMATH
Given the triangle below, what is m 2A, rounded to the nearest tenth?
B
18
11
309
A
C
Triangle not drawn to scale
A. 17.8
OB. 20.4
O C. 24.2
D. 26.8
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Answer:
A. 17.8°
Step-by-step explanation:
We have an angle and an opposite side, so we can use the law of sines to find the angle of interest.
sin(A)/a = sin(C)/c
A = arcsin(a/c·sin(C)) = arcsin(11/18·1/2) = arcsin(11/36)
A ≈ 17.7916° ≈ 17.8°
Parallelograms geometry acellus pls help
Answer:
x = 60
Step-by-step explanation:
Recall: one of the properties of a parallelogram is that consecutive angles are supplementary. This means they add up to given 180°
2x and x are consecutive angles. Therefore:
2x + x = 180
3x = 180
Divide both sides by 3
3x/3 = 180/3
x = 60
Expand the logarithm as much as possible. Rewrite the expression as a sum, difference, or product of logs.
ln(1/49^k)
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Answer:
-2k·ln(7)
Step-by-step explanation:
49 is a perfect square, so the argument of the log function can be written as ...
1/46^k = 1/(7^2)^k = 1/7^(2k) = 7^(-2k)
Then the log of it is ...
ln(7^(-2k)) = -2k·ln(7)
Find the area of a circle that has a radius of 60.4 m. Put your answer as yards squared rounded to 1 decimal.
Answer:
13707.2 yards squared
Step-by-step explanation:
meter is almost a yard
60.4 meters = 66.054 yards
area of a circle = Pi * r^2
Pi * (66.054 yards * 66.054 yards)
= 13707.1800324
Solve and check
y − 5 = −5
Answer:
Its -0
Step-by-step explanation:
-0-5=-5
Hope thia helps I believe its right check on a calculator
For the given piecewise function, evaluate for the specified value of x.
Answer:
g(-3) = 1
Step-by-step explanation:
The x-value -3 lies within the given interval x ≤ -3, and so the correct piecewise function is x + 4, not -4 or -1. Evaluating x + 4 at x = -3 yields 1.
Thus, g(-3) = 1
The required value of the function g(x) at x = -3 , g(-3) is +1.
Given that,
A function is given with their domain,
g(x) = x + 4 when x≤
g(x) = 4 when -3 < x < 3
g(x) = - 1 when x ≥ 3
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here, Function has been given with their respective limit in which the function is defined,
For the value of g(-3) the value of x = -3 lies in the limit x ≤ -3
So for this limit, we have a function,
g(x) = x + 4
g(-3) = - 3 + 4
g(-3) = +1
The required value of the function g(x) at x = -3 , g(-3) is +1.
learn more about function here:
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PLEASE HELP ASAPPPPPP!!!! (answer in decimal)
Answer:
465/1178 = .395 = 39.5%
Step-by-step explanation:
224 + 245
224+ 387 + 245 + 322
465/1178 = .395 = 39.5%
What is the range for the following set of numbers?57, -5, 11, 39, 56, 82, -2, 11, 64, 18, 37, 15, 68
so
82-(-2)
=84
then ur answer is 84
Write the equation of each line in slope intercept form. Slope is -6, and (1,-2) is on the line
Hello everyone can someone answer this question please
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Answer:
(a) 2
Step-by-step explanation:
Each inch is 2.54 cm, so 5.08 cm is ...
x / (5.08 cm) = (1 in) / (2.54 cm)
x = (1 in)(5.08/2.54) = (1 in)(2)
x = 2 in
5.08 cm equals 2 inches.
