The lifespans of meerkats in a particular zoo are normally distributed. The average meerkat lives 10.410.410, point, 4 years; the standard deviation is 1.91.91, point, 9 years.
Use the empirical rule (68-95-99.7\%)(68−95−99.7%)left parenthesis, 68, minus, 95, minus, 99, point, 7, percent, right parenthesis to estimate the probability of a meerkat living less than 16.116.116, point, 1 years.
Answer:
99.85%
Step-by-step explanation:
The lifespans of meerkats in a particular zoo are normally distributed. The average meerkat lives 10.4 years; the standard deviation is 1.9 years.
Use the empirical rule (68-95-99.7%) to estimate the probability of a meerkat living less than 16.1 years.
Solution:
The empirical rule states that for a normal distribution most of the data fall within three standard deviations (σ) of the mean (µ). That is 68% of the data falls within the first standard deviation (µ ± σ), 95% falls within the first two standard deviations (µ ± 2σ), and 99.7% falls within the first three standard deviations (µ ± 3σ).
Therefore:
68% falls within (10.4 ± 1.9). 68% falls within 8.5 years to 12.3 years
95% falls within (10.4 ± 2*1.9). 95% falls within 6.6 years to 14.2 years
99.7% falls within (10.4 ± 3*1.9). 68% falls within 4.7 years to 16.1 years
Probability of a meerkat living less than 16.1 years = 100% - (100% - 99.7%)/2 = 100% - 0.15% = 99.85%
Answer:
13.5%
Step-by-step explanation:
The x-coordinate of the vertex of the function y=-x²+bx+3 is 10. Determine the y-coordinate of the vertex.
Answer:
103Step-by-step explanation:
Given function:
y = -x² + bx + 3The x-coordinate of a quadratic function y = ax² + bx + c is determined by:
x = -b/2aThe given function has:
x = 10, and a = -1Find the value of b:
10 = -b / -2b = 20The function is:
y = -x² + 20x + 3The y-coordinate of the vertex is:
y = -(10²) + 20*10 + 3 = -100 + 200 + 3 = 103Answer:
Solution given:
y = -x² + bx + 3
we have
The x-coordinate of a quadratic function y = ax² + bx + c is determined by:
x = [tex] \frac{ - b}{2a} [/tex]
we have
x = 10, and a = -1
Substituting value of a in -b/2a
we get
b = 20
now
The y-coordinate of the vertex is:
y = -(10²) +20*10+ 3 = -100 + 200 + 3 = 103 is your answer.
John drank 12 oz of soda. If this was 60% of the soda in the bottle, how many ounces of soda were in the full bottle?
Answer:
20oz
Step-by-step explanation:
60%=12oz
this can be simplified into 1%
in order to find 1% divide by 60
60%/60=1%
in order to find out how much 1% is, divide 12oz by the number used to divide the percent
12/60=0.2
so 0.2=1% and we want to know 100% so multiply by 100
0.2x100=20
1%x100=100%
so 20oz=100% of the bottle
pls help me with my testt
Answer:
slope
Step-by-step explanation:
wisusushsheusueueheyehuee
What is the length of the ladder? it’s 6 ft. from the house at the bottom and touches the wall 14 ft. up at the top.
Answer:
approx. 15.23
Step-by-step explanation:
6^2+14^2=c^2
can someone help me with this one 2x2-18=0
Answer:
-14
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
2x-18=0
2x=18 /:2
x=9
Select all the statements that are true about JKL and LMN.
Answer:
There is nothing here
Step-by-step explanation:
Answer:
Step-by-step explanation:
a , b & c
Originally, a department store bought a set of dishes at a cost of $57.68 and marked it up 125%. After a month, the set of dishes had not sold, so the store marked it down 50%. What was the discounted price?
Answer:
$64.89
Step-by-step explanation:
57.68 + 1.25 × 57.68
= 57.68 + 72.1
= 129.78
The original price was $129.78.
129.78 – 0.50 × 129.78
= 129.78 – 64.89
= 64.89
The discount price was $64.89.
Answer:
$64.89
Step-by-step explanation:
I need an answer! NO LINKS PLS! il give brainlist
Answer:
D. The company's chocolate bars weigh 3.2 ounces on average.
Step-by-step explanation:
We are given that a company claims that its chocolate bars weigh 3.2 ounces on average.
The company took many large samples, and each time the mean weight of the sample was within the 95% confidence interval.
Definition of 95% confidence level: 95% confidence level means a range of values that you can be 95% certain contains the true mean of the population.
Thus by considering definition we can conclude that The company's chocolate bars weigh 3.2 ounces on average.
Thus Option D is correct.
D. The company's chocolate bars weigh 3.2 ounces on average.
PLZ HELP ASAP!!!! NEED HELP!!!
Answer:
I'm pretty sure the answer is C
help agine plz i will give branliets
Body mass index, of 20-year-old men is normally distributed with a mean of 23 and a standard deviation of 3.8. Twenty-year-old Allan's BMI has a z-score of 1.25. What is Allan's BMI?
Answer:
Allan's BMI is 5.05
Step-by-step explanation:
Answer:
The correct answer is 27.75
Step-by-step explanation:
1.25•3.8+23 is the formula
1.25•3.8=4.75
4.75+23=27.75
So 27.75 is your answer
I had 3 apples. I add 2 more apples. How many apples do I have?
Answer:
5 lol
Step-by-step explanation:
Answer:
5 im so smart :)
Step-by-step explanation:
Ellen has a balance of $15,000 on her car loan and an interest rate of 2.75%. To pay off the $15,000 in five years, Ellen will have to make a minimum payment of $267.87. If Ellen pays $434.57 per month she can pay off her auto loan in 3 years instead. How much more will Ellen pay if she takes 5 years to pay off her loan instead of 3 years?
Answer:
347$
Step-by-step explanation:
balance of 15000$
loan 2.75%
minimum 267.87
434.57 per month
=347$
Genevieve is 3 years older than twice her brother's age. Genevieve is 21 years old. Write an equation to find her brother's age.
The equation that represents Genevieve's brother is y = 18/2.
What is the equation that represents Genevieve's brother age?The equation that represents Genevieve's age:
21 = 3 + 2Y
Where Y represents Genevieve's brother age
In order to determine the required equation, make y the subject of the formula
21 - 3 = 2y
18 = 2y
y = 18/2
To learn more about linear functions, please check: https://brainly.com/question/26434260
What is the rectangular form of r = −2 sin(θ)?
Answer:
D.) x2 + (y + 1)2 = 1
Step-by-step explanation:
No explanation needed just need to say something here.
Answer:
x2 + (y + 1)2 = 1
Step-by-step explanation:
could someone give me answers for these three? no wrong answer or spam or link
Answer:
Equation: 2x + 13 = 5x - 20
x = 11
<FDG = 35
Step-by-step explanation:
These are vertical angles so they're equal to each other:
2x + 13 = 5x - 20
2x - 5x = -20 - 13
-3x = -33
x = 11
<FDG:
5x - 20
5(11) - 20
55 - 20
35
What is the slope of (10,3) and (2,3)
Answer:
m=0
Step-by-step explanation:
the formula given for slope (m) calculated from two points is given as (y2-y1)/(x2-x1)
we are given the points (10,3) and (2,3)
label the values of the points to use for the formula:
x1=10
y1=3
x2=2
y2=3
plug into the formula
m=(3-3)/(2-10)
subtract
m=0/-8
divide
m=0
therefore, the slope is 0
Hope this helps! :D
0/-8
i’m not very good at explaining but that is the answer ^^
Help, please!!!!!!!!!!!!!!!!
An elevator in an old building can hold four people at a time. The elevator also has an overall weight limit of 800 pounds. The weight of a group of people in the elevator will be represented by w. Choose ALL inequalities that represent w correctly. A) 4 ≥ w ≤ 0 B) 0 ≥ w ≤ 4 C) w ≤ 0 ≤ 800 D) 0 ≤ w ≤ 800 Eliminate E) 800 ≥ w ≥ 0
Answer:(D and E)
Step-by-step explanation:I know this because I got it right in usa test prep
Answer:
A and C
Step-by-step explanation: I just took the quizz
What is the median? 0.8 1.0 2.7 2.8 3.1 13.3
Answer:
2.75
Step-by-step explanation:
The median is just the middle number in the number set. So, you put the numbers in order (which they already are), and find the middle number. If there are two numbers in the middle (which only happens if there is an even amount of numbers), then you add both of them and divide by 2 (which we must do in this problem).
0.8, 1.0, 2.7, 2.8, 3.1, 13.3
(2.7 + 2.8)/2
(5.5)/2 = 2.75
So, the median is 2.75.
Hopefully this helped, good luck!
Step-by-step explanation:
Arranging the numbers in an ascending order:
0.8 1.0 2.7 2.8 3.1 13.3
Median = (3rd value + 4th value) / 2
[tex] = \frac{2.7 + 2.8}{2} \\ = \frac{5.5}{2} \\ = 2.75[/tex]
I need help what’s the answer ?
Answer:
x = 30
Step-by-step explanation:
Using the sine ratio in the right triangle
sinx = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{2.5}{5}[/tex] = [tex]\frac{1}{2}[/tex] , then
x = [tex]sin^{-1}[/tex] ([tex]\frac{1}{2}[/tex] ) = 30
Someone plz answer this plz
4x+1=6x-29
vvvvvvvvvv
-2x=-30
x=-15
4 x -15= -60
angle 3 =59 degrees
angle 6= 119 degrees
y = x-6
5x - 2y = -30
Show work
Answer:
y=x-6
5x-2y=-30
5x-2(x-6)=-30
3x+12=-30
3x=-42
x=-14
y=x-6
y=-14-6
y=-20
(-14, -20)
Step-by-step explanation:
i hope this helps :)
i used substitution, by the way
Please help I will mark brainiest answer
What is the solution to the equation startroot 2n+28 endroot -4 startroot n endroot =0 n=2 n=4 n=7 n=14
Answer:
C
Step-by-step explanation:
EDGE
Mrs. Valdez created a scatter plot that showed the number of days a student was absent compared to the student's grade average in class.
Answer:
I believe it's the last one... "The association is linear based on the overall pattern"
-x + 3y = -12 in slope intercept form. please show step by step. thanks :)
Answer:
y=x/3 - 4
Step-by-step explanation:
add x to get x to the other side
3y= x-12
divide by 3 on both sides to get y by itself y= x/3 - 4 is simplest form
Answer:
slope intercept form is y=mx+b
add x to both sides : 3y=x-12
divide by 3 on both sides : y=(1/3)x-4
nnnd i put both equations in desmos n they r the same :)
PLZ HELP ASAP NO LINKS!!!
Line A is perpendicular to Line B.
If the slope of Line A is - 3/4, what is the slope of Line B?
?/?
Answer:
4/3
Step-by-step explanation:
The answer, when perpendicular, is always the reciprocal
The combined area of the lots is 8,375 square feet. How many feet wide is Lot Y?
Answer Choices
53 feet
55 feet
120 feet
125 feet