Answer:
50
Step-by-step explanation:
32/0.64 = 50
25 ≥ 5u u = 5
True of false ( show work )
Answer:
true
Step-by-step explanation:
plug in u. u=e
25>= 5x5
25>=25
true
5th grade math. correct answer will be marked brainliest
Answer:
20
Step-by-step explanation:
5: 5, 10, 15, 20
4: 4, 8, 12, 16, 20
Given the following discrete uniform probability distribution, find the expected value and standard deviation of the random variable. Round your final answer to three decimal places, if necessary. Probability Distributionx 0 1 2 3 4 5 6 7 8 9 P(X
Answer:
[tex]E(x) = 4.500[/tex] --- Expected value
[tex]SD(x) = 2.872[/tex] --- Standard deviation
Step-by-step explanation:
Given
[tex]\begin{array}{ccccccccccc}x & {0} & {1} & {2} & {3} & {4}& {5} & {6} & {7} & {8} & {9} \ \\ P(X=x) & {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}}& {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}} \ \end{array}[/tex]
Solving (a): Expected value
This is calculated using:
[tex]E(x) = \sum\limits^{9}_{i=0} x_i * P(X = x_i)[/tex]
Since they all have the same probability, the formula becomes:
[tex]E(x) = \frac{1}{10}\sum\limits^{9}_{i=0} x_i[/tex]
[tex]E(x) = \frac{1}{10}(0+1+2+3+4+5+6+7+8+9)[/tex]
[tex]E(x) = \frac{1}{10}*45[/tex]
[tex]E(x) = \frac{45}{10}[/tex]
[tex]E(x) = 4.500[/tex]
Solving (b): Standard Deviation
First, we calculate the variance using
[tex]Var(x) = E(x^2) - (E(x))^2[/tex]
In (a), we have:
[tex]E(x) = 4.500[/tex]
[tex]E(x^2)[/tex] is calculated as:
[tex]E(x^2) = \sum\limits^{9}_{i=0} x_i^2 * P(X = x_i)[/tex]
Since they all have the same probability, the formula becomes:
[tex]E(x^2) = \frac{1}{10}\sum\limits^{9}_{i=0} x_i^2[/tex]
So, we have:
[tex]E(x^2) = \frac{1}{10}(0^2+1^2+2^2+3^2+4^2+5^2+6^2+7^2+8^2+9^2)[/tex]
Using a calculator
[tex]E(x^2) = \frac{1}{10}(285)[/tex]
[tex]E(x^2) = 28.5[/tex]
So:
[tex]Var(x) = E(x^2) - (E(x))^2[/tex]
[tex]Var(x) = 28.5 - 4.5^2[/tex]
[tex]Var(x) = 28.5 - 20.25[/tex]
[tex]Var(x) = 8.25[/tex]
The standard deviation is then calculated as:
[tex]SD(x) = \sqrt{Var(x)}[/tex]
[tex]SD(x) = \sqrt{8.25}[/tex]
[tex]SD(x) = 2.872[/tex] ---- approximated
The school nurse would like to compare the daily calorie consumption of some teachers to their weight. The data are given below: Calorie 1960 2160 1530 1690 Weight 75 74 78 80 Calorie 1580 1780 2170 1820 1880 Weight 77 85 79 82 78
Answer:
hinh nh ul a caanbang
Step-by-step explanation:
Calorie consumption increases, and weight tends to increase slightly, but the relationship is not very strong.
How to compare data?To compare the daily calorie consumption of teachers to their weight, we can create a scatter plot of the given data, where the calorie consumption is plotted on the x-axis, and the weight is plotted on the y-axis.
Each point on the scatter plot represents a teacher, and the position of the point shows the teacher's calorie consumption and weight.
From the scatter plot, we can see that there is no clear pattern or trend between the calorie consumption and weight of the teachers. However, we can calculate the correlation coefficient between the two variables to quantify the strength and direction of the relationship.
Using a calculator or a spreadsheet program, we can find that the correlation coefficient between calorie consumption and weight is approximately 0.07, which indicates a weak positive correlation.
This means that as calorie consumption increases, weight tends to increase slightly, but the relationship is not very strong.
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Examples of graphs of a single variable include pie charts, bar graphs, and time-series graphs. a. True b. False
Answer:
False.
Step-by-step explanation:
Time-series graph is a graph that relates something to the change of time, then the time is the single variable in this case.
Bar graphs relate a given quantity to a given variable, an example of this can be the population of a given city (represented by the height of each bar) for each different year (which is the single variable in this case)
Pie-chart is a circular graph with defined sections that represent a given proportion. This kind of graph is used to represent percentages, like in the case of a pie chart that describes the number of men and women in a city. (one section of the circle represents the percentage of women and the other section of the circle represents the percentage of men). In this type of graph, there are no variables, so this is not a single variable graph.
Then the statement:
"Examples of graphs of a single variable include pie charts, bar graphs, and time-series graphs."
Is false.
Keira rented a car for 3 days. She paid $118 rent
each day. Insurance for the 3 days came to a total of $35. How
much did Keira pay in all? Explain how you found your answer
Answer:
389
Step-by-step explanation:
3*118 + 35
Find the Experimental Probability of Spinning a 4
Answer:
....................................,..............................,................................,...................................,...........................,..................,......,,,.,.................................
Step-by-step explanation:
What is the z-score of a data value that is 3 standard deviations to the left of the mean?
Answer:
Step-by-step explanation:
look up z-table
3 std div. = 0.00135
help please! which of the following represents two dependent events .
Answer:
i would say A
Step-by-step explanation:
42 32 30 32 44 36 45 43 What is the median of this set of data?
Answer: 39
Step-by-step explanation:
30 32 32 36 42 42 44 45
Help pleaseeeeeeeeeeee
Answer:
C. The cone is ⅓ the volume of the cylinder
Step-by-step explanation:
Volume of a cylinder = πr²h
Volume of a cone = ⅓πr²h
Assuming they both have the same height (h) and radius (r), from the formula given above, we see that the cone is ⅓ of the volume of the cylinder (πr²h)
Let's demonstrate this with figures:
Hypothetically, let,
h = 3 cm
r = 3 cm
Let's plug these values into each formula for a cone and a cylinder:
Cylinder = π*3³*3 = 27π cm³
Cone = ⅓(π*3²*3) = ⅓(27π) = 9π cm³
As you can see, the volume of the cylinder (27π) is 3 times the volume of the cone (9π)
Therefore:
The cone is ⅓ the volume of the cylinder
For the data set 9, 13, 14, 15, 15, 18, the mean is 14. What is the mean
absolute deviation?
A. The mean absolute deviation is 6.
B. The mean absolute deviation is 2.
C. The mean absolute deviation is 12.
ОО
D. The mean absolute deviation is 14.
Answer:
its B if you are doing the big test
Step-by-step explanation:
The mean absolute deviation is 2.
What is mean absolute deviation?'The mean absolute deviation is the mean distance between each data value and the mean of the data set.'
According to the given problem,
Mean of the given data set = 14
Absolute deviation of mean from each data point,
⇒ ( 9 - 14 ) = 5
⇒ ( 13 - 14 ) = 1
⇒ ( 14 - 14 ) = 0
⇒ ( 15 - 14 ) = 1
⇒ ( 15 - 14 ) = 1
⇒ ( 18 - 14 ) = 4
Mean absolute deviation = [tex]\frac{5+1+0+1+1+4}{6}[/tex]
= [tex]\frac{12}{6}[/tex]
= 2
Hence, we can conclude, the mean absolute deviation of the given data set is 2.
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Find the length of side y.
y=_ft
Answer:
y = 5.66388 feet, (round that to whatever you need to round to)
Step-by-step explanation:
cos (51) = y/9
cos(51)*9=
y = 5.66388 feet
A spinner like the one below is used in a game. Determine the probabilit that the spinner will land on an odd number less than nine.
A.3/2
B.5/12
C.1/3
D.6/11
If your earned income for 2021 will be $84,686, Calculate what you will pay
in Social Security and Medicare taxes if Social Security is taxed at 6.2% at a
maximum taxable income of $142,800 and Medicare is taxed at 1.45%.
Answer:
5250.53 social security, 1227.95 Medicare
Step-by-step explanation:
84686x.062=5250.53 in social security
84686x.0145=1227.95 in Medicare
Select all the correct answers.
Natalie buys a new car. At the end of the first month, the odometer on the car reads 800 miles. From past experience, she expects to drive 900 miles per month.
Select all the functions that can be used to find the number of miles, , recorded on the odometer after n months.
Answer:
(a) [tex]f(n)= 900n -100[/tex]
(b) [tex]f(1) = 800[/tex]; [tex]f(n) = f(n-1) +900[/tex] for [tex]n \ge 2[/tex]
Step-by-step explanation:
Given
[tex]f(1) = 800[/tex] --- first month
[tex]d = 900[/tex] --- difference in distance covered each month
Required
Find f(n)
To do this, we have:
[tex]a_n = a_1 +d(n -1)[/tex]
Where
[tex]a_1 = f(1) = 800[/tex]
This gives:
[tex]a_n = 800 +900(n -1)[/tex]
[tex]a_n = 800 + 900n - 900[/tex]
Collect like terms
[tex]a_n= 900n +800-900[/tex]
[tex]a_n= 900n -100[/tex]
So, we have:
[tex]f(n)= 900n -100[/tex]
As a recursion, we have:
[tex]f(1) = 800[/tex]
For every other month i.e. [tex]n \ge 2[/tex]
We have:
[tex]f(n) = f(n-1) +900[/tex] for [tex]n \ge 2[/tex]
Which means 900 miles plus distance covered in previous month
Someone help me out with this
Answer:
v = 729 in³
Step-by-step explanation:
v = 9 * 9 * 9
v = 729 in³
Select the correct answer from the choices given
(13 + 4i) + n = 0
What is n?
0
1
–13 + 4i
–13 - 4i
Answer:
D
B
Step-by-step explanation:
A pediatrician wishes to recruit 5 couples, each of whom is expecting their first child, to participate in a new natural childbirth regimen. The probability that a randomly selected couple agrees to participate is 0.2. What is the distribution to model the number of couples who do not agree until 5 are found who agree to participate
Answer:
Inverse binomial distribution
Step-by-step explanation:
For each couple, there are only two possible outcomes. Either they agree to participate, or they do not. The probability of a couple agreeing to participate is independent of any other couple accepting. This means that we take the binomial distribution as a basis to solve this question.
However, we want to find the number of trials needed to have a number of successes, in this case 5, that is, we do not have a fixed number of trials, which means that the inverse binomial distribution is used, and is the answer to this question.
Facial shaving brushes are either bulb-shaped or fan-shaped. An experiment is to be conducted to determine whether the lather thickness is the same for both types of shaving brushes. In previous studies, it was determined that shaving brush size (small, medium, large) is associated with lather thickness, but shaving brush type (Wolf Whiskers, Maggard Razors, Frank Shaving, and so on) is not associated with lather thickness. How could the experiment BEST be conducted?
a) By blocking on shaving brush size
b) By blocking on shaving brush type
c) By blocking on shaving brush shape
d) By blocking on lather thickness
e) Without blocking
Answer:
a) By blocking on shaving brush size
Step-by-step explanation:
You block on the variable that the researchers think matters.
The experiment can BEST be conducted by blocking on shaving brush size
What is the reason behind the experiments?An experiment is designed to verify your hypothesis. If your theory is valid, every time a scientific experiment has been conducted, it has the potential to be true.
In this given experiment a technique is used to verify or disprove a theory, as well as assess the effectiveness or likelihood of something that has never been tried before. Experiments show what happens when a specific factor is modified, which sheds light on cause-and-effect relationships.
Since, lather thickness and shaving brush size are related, changing the brush size could have an impact on the experiment's findings.
Therefore, The experiment can be best carried out by limiting the size of the shaving brush.
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A library sells 600 books for a fundraiser. The library claims that 60% of the books are fiction how many of these books are fiction.
A 10
B 36
C 360
D 600
ASAP PLS!!!!!
Answer:
C. 360
Step-by-step explanation:
60% = 0.60
600 x 0.60 = 360
360 fiction books
Teresa's sugar cookie recipe calls for 2 1/3 cups of sugar. How much
sugar will she need to make 2 1/2 batches?
Answer:
5 5/6
Step-by-step explanation:
Multiply 2 1/3 by 2 1/2. The easiest way (?!) is to change both mixed numbers to improper fractions (I dislike that name! It just means a numerator bigger than the denominator).
2 1/3 Multiply the denominator 3 by the whole number 2, add the numerator 1 to get 6+1 = 7. Place that over the denominator, 3. So 2 1/3 = 7/3.
2 1/2 Multiply the denominator 2 by the whole number 2, add the numerator 1 to get 4+1=5. Place that over the denominator, 2. So 2 1/2 = 5/2.
Multiply 7/3 by 5/2.
[tex]\frac{5}{2} \cdot \frac{7}{3}=\frac{35}{6}[/tex]
Finally, convert the improper fractioin 35/6 to a mixed number by dividing 35 by 6 (6 goes into 35 5 whole times with 5 "left over"). The whole number part is 5 and the left over fraction part is 5/6.
5 5/6
A blue bag has 2 times as many marbles as a red bag. The blue bag has 6 marbles.
How many marbles are in the red bag?
Answer:
3
Step-by-step explanation:
answerrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr
Answer:
5x²-2x+7+2x²+6x-95x²+2x²-2x+6x+7-97x²+4x-2so, 7x²+4x-2 is yr answer.
hope it helps.
stay safe healthy and happy.Which of the following is the solution to the compound inequality below?
3x + 4 213 or 2x-13-11
Answer:
C. x is greater than or equal to 3 or x is less than or greater than -5
solve the system of equations, -4x+3y= -2
the answer is x=1/2+3y/4
Answer:
x:(1/2,0)
y:(0,-2/3)
this is the points in the graphic
PLEASE HELP THIS IS VERY IMPORTANT I WILL GIVE U BRAINLIEST IF ITS CORRECT NO LINKS PLEASE no guessing ;) rip my points i have 6 now ): IM CRYING
Answer:
5(b+3)
Step-by-step explanation:
you are multiplying the sum of b and 3 by 5
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Max is mixing oil and gas for his moped. He uses 3.75 liters of gas and 1.5 liters of oil. How many liters of gas are used per liter of oil ?
Step-by-step explanation:
Recognize youre finding the ratio between litres of gas per litres of oil
per always means a ratio
3.75L gas / 1.5L oil
simplify to get 2.5L gas / 1L oil
Ronald and Khalil had a 400 meter race Ronalds time was 1 minute and 51 seconds and Khalil time was 2 minutes and 34 seconds how much faster was Ronald time the khalil’s
Answer:
Ronald ran at a speed of 14.26 km / h, while Khalil did so at a speed of 9.35 km / h.
Step-by-step explanation:
Given that Ronald and Khalil had a 400 meter race, and Ronald's time was 1 minute and 51 seconds, and Khalil's time was 2 minutes and 34 seconds, to determine how much faster was Ronald time the Khalil’s, the following calculation must be performed:
400 x 2.5 = 1000
60 x 60 = 3600
1.51 = 101 x 2.5 = 252.5
2.34 = 154 x 2.5 = 385
252.5 = 1000
3600 = X
3600 x 1000 / 252.5 = X
14,257.43 = X
385 = 1000
3600 = X
3600 x 1000/385 = X
9,350.65 = X
14,257.43 / 1000 = 14.26
9,350.65 / 1000 = 9.35
Thus, Ronald ran at a speed of 14.26 km / h, while Khalil did so at a speed of 9.35 km / h.
Which rule explains why these triangles are congruent?
Answer:
SSS
Step-by-step explanation:
You can tell by the 2 dashes side and the one dash if that makes sense
Answer: SAS
Step-by-step explanation: