Clumsy Carl is running a marathon. There are 3 dangerous areas on the course, and Clumsy Carl approximates
that he has a 50% chance of falling at each spot, independent of if he falls at the other spots.
The table below shows the total number of people that will see Carl fall based on how many times he falls.
What is the expected total number of people that will see Carl fall?
Round your answer to the nearest hundred.
Answer:600
Step-by-step explanation: Khan Academy
9. Complete the following equation using <,>, or =
100% _1
O A. >
O B. <
O C. =
Answer:
C. =
Step-by-step explanation:
Two ways to think about this problem:
1st way: 100% and 1 are all a whole, therefore, they are equal.
2nd way: 1=1/1. Multiply the denominator and the numerator by 100, 1/1=100/100=100%
someone please help me answer this!!!
Answer:
15 using the Pythagorean theorem.
hope it helps, plz mark me as brainliest.
Answer:
15 units is the answer.
Step-by-step explanation:
points are (-3,-4) and (6,8)
Pythagorean theorem can be written as,
[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(6-(-3))^2 + (8-(-4))^2}\\\\d=\sqrt{(9)^2+(12)^2} \\\\d=\sqrt{81+144} \\\\d=\sqrt{225} \\\\d=15[/tex]
∴ d = 15 units is the distance between the points.
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
Coordinates switch, and the new y-coordinate changes sign
Explanation:
We have point A with the coordinates (-1,2), when we rotate it c90º it becomes (2,1).
What happened? The coordinates switched and the x-coordinate of A (-1) became the y-coordinate of A' (1) and it changed its sign.
Answer:
A. The coordinates switch and the new x-coordinate changes sign
Step-by-step explanation:
Hope this helps! ✌️
A study was performed to investigate whether teens and adults had different habits when it comes to consuming meat-free meals. In particular, the researchers were interested in the relationship between p1, the proportion of teens who would report eating at least one meat-free meal in the past week, and p2, the proportion of adults who would report eating at least one meat-free meal in the past week. A random sample of 875 teens and a separate random sample of 2,323 adults found that 555 of the teens and 1,601 of the adults reported eating at least one meat-free meal in the past week. The conditions for inference were checked and verified. What is the correct set of hypotheses the researchers should test in this scenario
Answer:
H₀ should be rejected at CI 95% .
Then the proportion of adults with 95 % CI is bigger than the proportion of teen
Step-by-step explanation:
From adult sample:
n₂ = 2323
x₂ = 1601
p₂ = 1601 / 2323 p₂ = 0,689 or p₂ = 68,9%
From teen sample:
n₁ = 875
x₁ = 555
p₁ = 555/ 875 p₁ = 0,634 or p₁ = 63,4
Values of p₁ and p₂ suggest that the proportion of adults consuming at least one meat free meal per week is bigger than teen proportion.
To either prove or reject the above statement we have to develop a difference of proportion test according to:
Hypothesis test:
Null Hypothesis H₀ p₁ = p₂
Alternative Hypothesis Hₐ p₂ > p₁
So is a one-tail test to the right
We can establish a confidence interval of 95 % then α = 5 %
or α = 0,05
As the samples are big enough we will develop a z test
Then z(c) for α = 0,05 from z table is z(c) = 1,64
To calculate z(s)
z(s) = ( p₂ - p₁ ) / √p*q* ( 1/n₁ + 1/n₂ )
where p = ( x₁ + x₂ ) / n₁ + n₂ p = 555 + 1601 / 875 + 2323
p = 2156/3198 p = 0,674
and q = 1 - 0,674 q = 0,326
z(s) = ( 0,689 - 0,634 ) / √0,674*0,326 ( 1/875 + 1 / 2323
z(s) = 0,055/ √ 0,2197 ( 0,00114 + 0,00043)
z(s) = 0,055/ √0,2197* 0,00157
z(s) = 0,055/ √ 3,45*10⁻⁴
z(s) = 0,055 / 1,85*10⁻²
z(s) = 5,5/1,85
z(s) = 2,97
Comparing z(s) and z(c) z(s) > z(c)
Then z(s) is in the rejection region we reject H₀.
We can claim that the proportion of adult eating at least one meat-free meal is bigger than the proportion of teen
Jackson has 180 pieces of gum. He wants to share the pieces equally with his friends. Which table shows the relationship between n, the number of people who received gum, and p the number of pieces of gum each person receives?
Answer:
Step-by-step explanation:
In the right triangle shown, find x.
PLEASE HELP!!!!
Moira solved a problem on the board. What error did Moira make and how can she correct it?
12x + 10 = 54 - 10x
12x + 10 - 10 = 54 - 10x - 10
12x = 44 - 10x
12x - 10X = 44 - 10x + 10x
2x = 44
X = 22
A- On the left side of the equation, Moira should have subtracted 10x, and on the right side of the equation, Moira should have added 10x.
B- On the left side of the equation, Moira should have added 10x, and on the right side of the equation, Moira should have subtracted 10x.
C- On the left side of the equation, Moira should have added 10x, and on the right side of the equation, Moira should have also added 10x.
D- On the left side of the equation, Moira should have subtracted 10x, and on the right side of the equation, Moira should have also subtracted 10x.
Please I really need it
Answer:
C
Step-by-step explanation:
What you do on one side of the equation, you do to the other. She added 10x on the right side and subtracted 10x on the left when she should have added 10x on both sides.
Use a formula to find the are.
You have collected weekly earnings and age data from a sub-sample of 1,744 individualsusing the Current Population Survey in a given year. Given the overall mean of $434.49and a standard deviation of $294.67, construct a 99% confidence interval for averageearnings in the entire population. State the meaning of this interval in words, ratherthan just in numbers. If you constructed a 90% confidence interval instead, would itbe smaller or larger? What is the intuition?
Answer:
The 99% confidence interval for average weekly earnings in the entire population is between $416.42 and $452.66. This means that we are 99% sure that the true population mean weekly earnings is between these two values.
Due to the smaller margin of error, the confidence interval would be smaller, that is, less likely to contain the true population mean.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.575\frac{294.67}{\sqrt{1744}} = 18.17[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 434.49 - 18.17 = $416.42
The upper end of the interval is the sample mean added to M. So it is 434.49 + 18.17 = $452.66
The 99% confidence interval for average weekly earnings in the entire population is between $416.42 and $452.66. This means that we are 99% sure that the true population mean weekly earnings is between these two values.
If you constructed a 90% confidence interval instead, would it be smaller or larger? What is the intuition?
For a 90% confidence interval, we would have z = 1.645.
Looking at the margin of error formula, M and z are direct proportional, that is, as z decreases so does M. Due to the smaller margin of error, the confidence interval would be smaller, that is, less likely to contain the true population mean.
Pls help thank you :)
The dot plot represents the number of apples picked by a family. Explain how the outlier of the data affects the statistical summary of the data.
Select the answers from the drop-down menus to complete the statements.
The mean apples picked
increases or decreases or does not change?
because of the outlier.
The median apples picked
increases or decreases or does not change?
because of the outlier.
The range
increases or decreases or does not change?
because of the outlier.
Answer:
Decreases, decreases, increases
Just took the test
Step-by-step explanation:
PLZ HELP I WILL MAKE YOU BRAINLIEST NO FAKE LINKS
Answer:
1/30 of an hour
Step-by-step explanation:
8 men can complete the project in 24 days in how many days 12 men can complete the same project
Answer:
16days
Step-by-step explanation:
This is an inverse proportionality
Let the number of men be m
Let the time taken in days be d
Hence m ∝ 1/d
m = k/d
If 8 men can complete the project in 24 days, then;
8 = k/24
k = 8*24
k = 192
To determine the time it will take 12 men to complete the same job, we will say;
m = k/d
12 = 192/d
d = 192/12
d = 16
Hence it will take 12men 16days to finish the same job
What part of a
a dozen is 8?
Answer:
8 Dozen eggs would mean, 8 X 12 = 96 eggs
Step-by-step explanation:
Answer:
[tex]\frac{2}{3}[/tex]
or
0.67
Step-by-step explanation:
a dozen is 12
12/4 = 3
8/4 = 2
8 is 2/3 of a dozen(12)
2/ 3 = 0.66666666666667 which is about 0.67
SOMEONE PLZZ HELP ME! THIS IS DUE TODAY (I WILL GIVE BRAINLIEST)
4z + 8 - 6=
7z ÷ 4 + 5x=
y² ÷ (3z) =
I NEED HELP :(
Answer:
1: 14z+2
2: 7z/4 + 5x
3: y²/3z
The quadratic function h is shown on the graph. If the graph is h(x) = (3/5 ) (x – d)(x + 6), what is the value of d?
Answers ↓
(A) -14
(B) 14
(C) -60
(D) 42/5
9514 1404 393
Answer:
(B) 14
Step-by-step explanation:
"d" is a value that makes the function be zero. The x-intercepts (zeros) of the function are at x=-6 and x=14, corresponding to factors (x +6) and (x -14). The (x+6) factor is already given in the equation, so we must conclude d=14.
How many cups are in 5/1/2 pints
Answer:
11 cups
Step-by-step explanation:
Answer:
11 us cups are in 5 1/2 pints
Step-by-step explanation:
hope this helps
Please help me i really need help
Answer:
[tex]A=745.06[/tex]
[tex]C=96.76[/tex]
A population of bacteria in a petri dish is modeled by the function p(x)=88x , where x is the number of hours that have elapsed since the bacteria was introduced to the petri dish.
When will there be fewer than 512 bacteria?
Enter your answer rounded to the nearest hundredth in the boxes.
Answer:
3.14
Step-by-step explanation:
The answer is going to be 3.14
Hope it helps!
Karyn has 11/8 pounds of chili to put into three bowls. The amount of chili in each bowl does not have to be the same. How much chili could Karyn put into each bowl? Solve this
Answer:
bowl a: 11/8 pounds of chili
bowl b: 11/24 pounds of chili
bowl c: 33/48
For 3-7, Open Response
For 3-7, Determine whether the linear
relationship is proportional. Show
work.
3. Gabrielle is buying bananas. Each
banana costs 9 cents.
The linear relationship is proportional
Determining whether the linear relationship is proportionalFrom the question, we have the following parameters that can be used in our computation:
Gabrielle is buying bananas. Each banana costs 9 cents.Using the above as a guide, we have the following:
Unit rate = Cost of banana/Number of banans
substitute the known values in the above equation, so, we have the following representation
Unit rate = 9/1
Evaluate
Unit rate = 9 cent per banana
This means that the linear relationship is proportional
Read more about proportional relationship at
https://brainly.com/question/28651666
#SPJ1
The lengths of nails produced in a factory are normally distributed with a mean of 4.95 centimeters and a standard deviation of 0.05 centimeters. Find the two lengths that separate the top 5% and the bottom 5%. These lengths could serve as limits used to identify which nails should be rejected. Round your answer to the nearest hundredth, if necessary.
Answer:
The length that separates the bottom 5% is of 4.87 centimeters.
The length that separates the top 5% is of 5.03 centimeters.
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 4.95 centimeters and a standard deviation of 0.05 centimeters.
This means that [tex]\mu = 4.95, \sigma = 0.05[/tex]
Bottom 5%:
The 5th percentile, which is X when Z has a pvalue of 0.05. So X when Z = -1.645.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.645 = \frac{X - 4.95}{0.05}[/tex]
[tex]X - 4.95 = -1.645*0.05[/tex]
[tex]X = 4.87[/tex]
The length that separates the bottom 5% is of 4.87 centimeters.
Top 5%:
The 100 - 5 = 95th percentile, which is X when Z has a pvalue of 0.95. So X when Z = 1.645.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.645 = \frac{X - 4.95}{0.05}[/tex]
[tex]X - 4.95 = 1.645*0.05[/tex]
[tex]X = 5.03[/tex]
The length that separates the top 5% is of 5.03 centimeters.
A pair of jeans is on sale for 20% off. The sale price is $55.00. What is the original amount of the pair of jeans?
Answer:
$86.75 i think
Step-by-step explanation:
what is the place value of 5 in . number 4 256
Answer:
4 2 5 6
Ones : 6
Tens : 5
Hundreds : 2
Thousands : 4
Step-by-step explanation:
hope I'm right
Given the data set, calculate the range and the mode:
{9, 3, 1, 8, 3, 6}
Subtract 14y + 375 from 8(2y − 1)
Answer:
2y + 367
Step-by-step explanation:
8(2y - 1) - 14y + 375
16y - 8 - 14y + 375
2y + 367
What is 15.74 rounded to the nearest whole number?( no links or files plz will get a brainliest)
Answer:
16
Step-by-step explanation:
Edit: Lol I learned this a while ago but imagine a ladder 5 or more goes up for sure 4 or less let it rest. Meaning anything over 5 goes up to the next digit and anything lower like 4 stays on that number
Answer:
16.
15.74 is closer to 16 than 15
Can someone help me with this pls [cry]
Answer: B
Step-by-step explanation:
JUST DID A QUIZ WITH IT
I need help and it’s due soon
Answer:
Point A
Step-by-step explanation:
Answer:
point A
Step-by-step explanation:
The point A is opposite with the point R and the x-axis is between them.