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:
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
RATE MY SINGING: what you know about rolling down in the deep when your brain goes numb you call that mental freeze if I gave you all my love would that make you happy yeah yeahhh eyahh
Answer:
wow!
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
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:
Which point represents – 12 on the number line?
Answer:
Point C
Step-by-step explanation:
Answer:
Point C
Step-by-step explanation:
It is need 1/6 to be 2
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:
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
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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Isabel stacked two wooden blocks as shown. What is the total volume of the stacked blocks?
A. 60 cm3
B. 35 cm3
C. 96 cm3
D. 156 cm3
9514 1404 393
Answer:
156 cm³
Step-by-step explanation:
The volume of any prism is the product of the base area and the height of the prism. Here, we can take the "base" to be the front face of the assembly, and its "height" to be the 3 cm distance between the front and back faces.
The front face area is the sum of the triangle area and the rectangle area.
A = 1/2bh + LW
A = (1/2)(10 cm)(4 cm) + (16 cm)(2 cm) = 52 cm²
Then the volume is ...
V = Bh = (52 cm²)(3 cm) = 156 cm³ . . . . total volume of the two blocks
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
Find the Experimental Probability of Spinning a 4
Answer:
....................................,..............................,................................,...................................,...........................,..................,......,,,.,.................................
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.A jar of marbles has 27 green marbles. This represents 30% of the marbles in the jar. How many total marbles are in the jar? Please someone hurry with the answer.
Answer:
90 i think
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
divide 27 by thirty then multiply by 100
A teacher offers 8 extra credit assignments. what is the domain of this graph?
Answer:
C
Step-by-step explanation:
This is the shows the constant value on the X-axis
What is the area of this figure?
Enter your answer in the box.
[_] m²
Answer: 81 m^2
Step-by-step explanation:
Parallelogram:
9 × 5 = 45
Triangle:
8 × 9 = 72
72 ÷ 2 = 36
Add:
45 + 36 = 81 bro look i even did an explation can u plz mark brainlist
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
Comparing exponential functions: mastery test
Answer:nice do it
Step-by-step explanation:
what is it about
show the problem
Step-by-step explanation:
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
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
Can someone please help?
Answer:
B
Step-by-step explanation:
112.5/15=7.5
[tex] \frac{112.5}{15} = 7.5[/tex] ✅
Step-by-step explanation:Option A⤵
[tex] \frac{15}{112.5} = 75 \\ ⇢ 0.1333 ≠75[/tex]
Option B⤵
[tex] \frac{112.5}{15} = 7.5 \\ ⇢ 7.5 = 7.5[/tex]
Option C⤵
[tex] \frac{112.5}{15} = 75 \\ ⇢ 7.5 ≠75[/tex]
Option D⤵
[tex] \frac{15}{112.5} = 7.5 \\ ⇢ 0.1333 ≠7.5[/tex]
Hence, option B is correct.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
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
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
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 a plate of car consists of two letters and four digits and one car is chosen at random, then find the probability that the car has the letters at the beginning and at the end.
Answer:
if u take 1 degree to 78 its answer is 79
Step-by-step explanation:
got it?
The probability that the car has the letters at the beginning and at the end is 1/15.
What is probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
We have,
The plate of car consists of two letters and four digits.
So, there are
= 6!/(4!*2!)
=(6 x 5 x 4!)/4! x 2
= 3 x 4
= 15 ways of arranging
Then, the probability that the car has the letters at the beginning and at the end is 1/15.
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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
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
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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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