A study of more than 3,000 toco toucans found that their weights were approximately Normally distributed, with a mean
of 20 ounces and a standard deviation of 2.3 ounces. Let Y be the weight of a randomly chosen toco toucan. Which of
the following correctly interprets the value of P(Y < 16)?
Find the Z-table here.
O P(Y< 16) = 0.50. About 50% of all toco toucans weigh less than 16 ounces.
OP(Y< 16) = 0.041. About 4.1% of all toco toucans weigh less than 16 ounces.
O P(Y < 16) = 0.959. About 95.9% of all toco toucans weigh less than 16 ounces.
P(Y < 16) = 0.041. About 4.1% of the toco toucans from this group weigh less than 16 ounces.
O P(Y< 16) = 0.959. About 95.9% of the toco toucans from this group weigh less than 16 ounces.
Using the normal distribution, it is found that the correct option is:
P(Y< 16) = 0.041. About 4.1% of all toco toucans weigh less than 16 ouncesIn a normal distribution with mean and standard deviation , the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It 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, which is the percentile of X.In this problem:
Mean of 20 ounces, hence [tex]\mu = 20[/tex].Standard deviation of 2.3 ounces, hence [tex]\sigma = 2.3[/tex]P(Y < 16) is the p-value of Z when X = 16, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{16 - 20}{2.3}[/tex]
[tex]Z = -1.74[/tex]
[tex]Z = -1.74[/tex] has a p-value of 0.041.
This is valid for the entire population, hence, the correct interpretation is:
P(Y< 16) = 0.041. About 4.1% of all toco toucans weigh less than 16 ouncesA similar problem is given at https://brainly.com/question/24663213
Find the slope of the line that passes through (19, 72) and (20, -1).
Step-by-step explanation:
please mark me as brainlest
What is the equation of this line?
y=6x−14
y=14x−6
y=6x−4
y=4x−6
Hope it helps.
Don't forget to click the Brainliest button if you like my answer and if you have any query, feel free to ask in the comment section.
help please please help
Answer:
24/35
Step-by-step explanation:
Hope this helps!:)
First to answer correctly will get brainiest.
How to get a number 100 by using four sevens (7’s) and a one (1)?
Answer:
read step-by-step explanation
Step-by-step explanation:
it's a trick question u can't u can get close doing (7+7)×(7+1)-7=105 but it's not 100
Mark used 14 bananas, 15 oranges, and 24 strawberries in his fruit salad.
Dani used 7 bananas, 9 oranges, and 12 strawberries. Did Mark and Dan
use the same ratio of bananas to strawberries? *
Answer:
yes-
Step-by-step explanation:
im not to sure if its right but
7+7=14
12+12=24
Put these numbers in order from least to greatest.
1/2 1/10 0.4?
Answer:
1/10, 0.4, 1/2
Step-by-step explanation:
Answer:
1/10 0.4 1/2
Step-by-step explanation:
1/10 = 0.1
0.4 = 0.4
1/2 = 0.5
therefore 0.1 0.4 0.5
help pls and thank you
Answer:
7x3=21 3x7=21
Answer:
two correct answers are:
1 x 21= 21
3 x 7= 21
6 wholes and 1/3 converted into decimal?
Answer:
6 is a whole number.
[tex]\frac{1}{3}[/tex] is approximately equal to 0.333, but this is a repeating decimal.
Directions: Simplify the following expressions. 1. (3x-10)² 6. (-15y + 3)² 7. (q-2r) (q + 2r) 8. (m-6)³ 9. (u−5)(u+ 5) 10. (x + 2) ³ 2. (12az-11b)² 3. (3b² + 2v) ( (3b²-2v) 4. (2v + 3w)³ 5. (2t+4y) (41²-8ty + 16y2)
Answer:
1. 9x^2-60x+100
6. 225y^2-90y+9
7. q^2-4r^2
9. u^2-25
10. x^3+6x^2+12x+8
2. 144a^2z^2-264abz+121b^2
3. 9b^4-4v^2
4. 8v^3+36^2w+54vw^2+27w^3
5. -16t^2y+64y^3+3362t+6724y
Step-by-step explanation:
There you go
If the radius of the planet Mars is measured to be 3350 km, with a measurement error of plus or minus 100 km. What is the percent error when calculating the volume of the planet? Round your answer to 2 decimal places. Your answer
Mars is measured to be 3350 km, with a measurement error of plus or minus 100 km.
The percent error when calculating the volume of the planet is 8.95% if the radius of the planet Mars is measured to be 3350 km.
What is the error?The difference between the measured and analysis of the financial statements might well be defined as an error. For instance, if the two operators use the same complete and precise tool.
We have:
If the radius of the planet Mars is measured to be 3350 km, with a measurement error of plus or minus 100 km.
The radius r = (3350 ± 100) km
As we know, volume can be defined as a three-dimensional space enclosed by an object or thing.
V = (4/3)πr²
The percent error:
= [(experimental value - accepted value)/experimental value]×100
The percent error in volume = 3(100/3350)×100
The percent error in volume = 8.95%
Thus, the percent error when calculating the volume of the planet is 8.95% if the radius of the planet Mars is measured to be 3350 km.
Learn more about the error here:
https://brainly.com/question/22248350
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In a class of 30 students, 60% like math. How many students: Do not like math?
Answer:
12 students
Step-by-step explanation:
30×0.4=12.
factor and solve the zeros for the following x^2+10x-75=0
A doughnut shop sells 30 kinds of doughnuts. In how many ways can you get a bag of 12 doughnuts if you want at least 3 glazed doughnuts and at least 4 raspberry doughnuts
Answer:
86493225
Step-by-step explanation:
Hope it helps
I don’t understand this question can you please help me ?.
Answer:
Girl: YES = 12 ; NO = 38
Boy: YES = 29 ; NO = 21
Total: YES = 41 ; NO = 59
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
A 30-foot string of lights will be attached to the top of a 24-foot pole for a holiday display. How far from the base of the pole should the end of the string of lights be anchored?
Answer:
6
Step-by-step explanation:
Isn't it 6 because that the distance between 30 and 24
Suraj took a slice of pizza from the freezer and put it in the oven. The pizza’s temperature (in degrees celsius) as a function of time (in minutes) is graphed. What was the pizza’s temperature after 2 minutes?
For this case, the first thing we should do is write the linear function that best suits the table.
In this case we have the following function:
y = 7.5x - 5
C = 7.5t-5
For C = 100 we have:
100 = 7.5t-5
We clear the time:
t = (100 + 5) / (7.5)
t = 14
Answer:
it did take the pizza to reach 100 degrees Celsius about 14 minutes
-12/5+3/10/11/14-(-9/14)
Answer:
-6/5
Step-by-step explanation:
I hope it helps, bye
HELP PLS ANSWER IT FR FR
A The results of a survey question “How many minutes does it take you to eat breakfast?” are shown. Which of the following charts represents the given data?
Answer:
Chart A
Step-by-step explanation:
40 people attended the play. 15 were women, 10 were men, and 15 were children. what fraction were men?
Answer:
10/40 were men, or simplified the amount is 1/4 of the total is men
Consider the equation of a circle x^2-2x+y^2-4y-4=0. If the line 2x-y+a=0 is its diameter. Then find the value of a.
Answer:
a=0
Step-by-step explanation:
x²-2x+y²-4y-4=0
(x²-2x+1)+(y²-4y+4)-9=0
(x-1)² + (y-2)² = 3²
Center: (1,2) radius: 3
(1,2) on line 2x-y+a=0
2*1 - 2 + a = 0
a = 0
simplify 8x-5-10x+7 GCF
Answer:
-2x + 2
Step-by-step explanation:
Find the diameter of a circle with a circumference of 34.54 yards. Use 3.14 for π.
Answer:
Step-by-step explanation:
C = π d
3.14 d = 34.54
d = 11 yards
Answer:
Step-by-step explanation:
C = πD
D = C/π
D = 34.54 / 3.14
D = 11 yards
Using the number lines shown, what is the equivalent fraction to 3/3
Answer:
3/3 is a whole so I believe it would be the whole number line
How do you solve this
Answer:
x > 3
Step-by-step explanation:
And then, I believe you just need to solve that answer. But I'm not sure tho
In 2020 researchers took random samples to compare the proportion of adult females to the proportion of adult males who use 2 or more credit/debit cards. The adults were aged 21 and older and they lived in all areas of the U.S. Based on the data collected, the researchers computed a 96 percent confidence interval for the true difference between the proportions of adult females minus the proportion of adult males who use 2 or more credit/debit cards. The confidence interval is: (0.013, 0.049). Assume all checks have been verified.
Question:
Choose the best answer below concerning the confidence interval for the difference between the true proportions of adult females minus the true proportion of adult males who use 2 or more credit/debit cards.
Using the z-distribution, it is found that the correct option is:
[tex]p_1 - p_2 \pm z\sqrt{\frac{p_1(1 - p_1)}{n_1} + \frac{p_2(1 - p_2)}{n_2}}[/tex]
A confidence interval is given by:
[tex]p \pm zs[/tex]
In which:
p is the estimate of the proportion.z is the critical value.s is the standard error.In this problem, the proportions are:
A proportion [tex]p_1[/tex] in a sample of size [tex]n_1[/tex].[tex]p_2[/tex] in a sample of size [tex]n_2[/tex].Hence, the standard errors are:
[tex]s_1 = \sqrt{\frac{p_1(1 - p_1)}{n_1}}, s_2 = \sqrt{\frac{p_2(1 - p_2)}{n_2}}[/tex]
When two proportions are subtracted, the estimate is the subtraction of proportions, while the standard error of the subtraction is the square root of the sum of each standard error squared, hence:
[tex]p = p_1 - p_2[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{\frac{p_1(1 - p_1)}{n_1} + \frac{p_2(1 - p_2)}{n_2}}[/tex]
Thus, the interval is:
[tex]p_1 - p_2 \pm z\sqrt{\frac{p_1(1 - p_1)}{n_1} + \frac{p_2(1 - p_2)}{n_2}}[/tex]
A similar problem is given at https://brainly.com/question/12517818
HELP ME OUT PLEASE!!!
Determine which graph shows y as a function of x.
Luke has 75 Vbucks in his account he spends 5 Vbucks every 2 hours. At this rate how many hours did it take for all 75 V bucks to be drained from his account?
Answer:
30
Step-by-step explanation:
i did the math lol
Answer:
Can I have some vbucks?
Can someone help me with this
Hello! Please mark Brainliest for the explanation!
Answer:
Area: 10 inches
Step-by-step explanation:
As the paper itself states, the area of a triangle would be
1/2bh
Simply plug the given values in!
1/2(5)(4) =
1/2(20)=
10
Have a wonderful day!
Answer:
Area = 10 units
Skills needed: Triangle Theory, Substitution of Values
Step-by-step explanation:
1) We are given that the formula to finding the area of the triangle is [tex]\frac{1}{2}bh[/tex].... this essentially means that it is: [tex]\frac{1}{2}[/tex] times base (b) times height (h)
2) We can then use substitution to solve this. IN the diagram shown there, 4 is the base, and the height is 5 (since b = base, and h = height).
Area is [tex]\frac{1}{2} * b * h[/tex] in general (the * means multiplication)
Substitute in the values and it is: [tex]\frac{1}{2} * 4 * 5[/tex]
--> [tex]4*5=20[/tex]
--> [tex]\frac{1}{2} * 4*5 = \frac{1}{2} * 20 = 10[/tex]
1/2 of 20 is ten, so that is how we arrive at that final answer.
Hope you understand, have a great day :)
A researcher at the Centers for Disease Control and Prevention is studying the growth of a certain bacteria. He starts his experiment with 200 bacteria that grow at a rate of 2% per hour. He will check on the bacteria every 7 hours. How many bacteria will he find in 7 hours? Round your answer to the nearest whole number.
The population of the bacteria after 7 hours is 230 bacteria.
An exponential function is given by:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier.
Let y represent the population of bacteria after x hours.
Given that he starts his experiment with 200 bacteria, hence
a = 200
The bacteria grow at a rate of 2% per hour, hence:
b = 100% + 2% = 1.02
The exponential equation becomes:
y = 200(1.02)ˣ
After 7 hours:
y = 200(1.02)⁷ = 230
The population of the bacteria after 7 hours is 230 bacteria.
Find out more at: https://brainly.com/question/12490064
