Answer:
Step-by-step explanation:
Part B: A"C
1. 4 A box contains 300 discs of different colours. There are 100 pink discs, 100 blue discs and 100 orange discs. The discs of each colour are numbered from 0 to 99. Five discs are selected at random, one at a time, with replacement. Find
(i) the probability that no orange discs are selected. [3]
(ii) the probability that exactly 2 discs with numbers ending in a 6 are selected. [4]
(iii) the probability that exactly 2 orange discs with numbers ending in a 6 are selected. [4]
(iv) the mean and variance of the number of pink discs selected. [8]
1. 5 The mean number of defective batteries in packs of 20 is 1. 6. Use a binomial distribution to calculate the probability that a randomly chosen pack of 20 will have more than 2 defective batteries
The probability that no orange discs are selected is 0.1295 and the probability that exactly 2 discs with numbers ending in a 6 are selected is 0.0721.
How to calculate probability?The probability that no orange discs are selected will be:
= 200C5 / 300C5
= 0.1295
The probability that exactly 2 discs with numbers ending in a 6 are selected will be:
= (30C2 × 270C3) / (300C5)
= 0.0721
The probability that exactly 2 orange discs with numbers ending in a 6 are selected will be:
= (100C2 × 290C3) / (300C5)
= 0.0092
The mean of the number of pink discs selected will be:
= np
= 5 × 1/3
= 5/3
The variance will be:
= 5 × 1/3 × 2/3
= 10/9 = 1.11
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Martin has a pencil case which contains 4 blue pens and 3 green pens. Martin picks a pen at random from the pencil case. He notes its colour, and then replaces it. He does this two more times. Work out the probability that when Martin takes three pens, exactly two are the same colour. (3 marks)
Answer: How do you not understand this?
I understand it perfectly.
Step-by-step explanation:
The probability that when Martin takes three pens, exactly two are the same color is 26.53%.
Probability
Given:
Blue pens=4
Green pens=3
Hence:
Probability=4³+3³÷(4+3)³
Probability=64+27/343
Probability=91/343
Probability=0.2653×100
Probability=25.53%
Therefore the probability that when Martin takes three pens, exactly two are the same color is 26.53%.
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#SPJ6
Ram is 3 years younger than Shyam and Krishna is 5 years older than Shyam . If the product of percentages of Ram and Krishna is 48, How old is Shyam?
Answer:
Shyam would be 43 years old
Step-by-step explanation:
Ram is 49 years old, since she is 3 years younger than Shyam and Krishna is 48 years old than Shyam
5. A rectangle has an area of 16 cm². Do you know its length?
Answer:
144 [tex]cm^2[/tex]
Step-by-step explanation:
Answer:the answer were to your question is 4
Step-by-step explanation:
Put me on brainlyiest pls
3x+2x+6v-9g+hd+2v-1g
Answer:
5x+8x-10g+hd
Step-by-step explanation:
please mark me as brainlest
Hey there!
3x + 2x + 6v - 9g + hd + 2v - 1g
= 3x + 2x + 6v - 9g + 1hd + 2v - 1g
COMBINE the LIKE TERMS
= (3x + 2x) + (6v + 2v) - (9g - 1g) + (1hd)
= 3x + 2x + 6v + 2v - 9g - 1g + 1hd
= 5x + 7v - 10g + 1hd
= 5x + 7v - 10g + hd
= hd - 10g + 8v + 5x
Therefore, your answer is:
hd - 10g + 8v + 5x
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
A clock cog rotates 150 degrees in 20 minutes. How far will far will the same cog rotate in 70 minutes
Answer:
525 degrees
Step-by-step explanation:
A path is made of red tiles and blue tiles.
1/5 of the tiles are red.
a) Write down the ratio of red tiles to blue tiles in its simplest form.
Answer:
The ratio of red tiles to blue tiles is 1 to 4.
Step-by-step explanation:
Since 1/5 of the tiles are red, 4/5 of the tiles are blue, giving the ratio of red tiles to blue tiles as 1 to 4.
Aiden paid 45. 15 to stream three movies. All three movies were the same price. How much did each movie cost
Answer:
Each movie costs $15.05
Step-by-step explanation:
The price that was paid was $45.15
We know that there were 3 movies brought at the same prices.
We want to know how much each movie costs.
This is a simple division problem.
This is because the keywords "same" and also "each"
Do 45.15 divided by 3
45.15/3 = 15.05
Your answer is $15.05
You could verify by adding $15.05 three times.
$15.05 + $15.05 + $15.05 = $45.15
Therefore, Each movie costs $15.05
The sixth-grade students at Madison Middle School had a walkathon to raise money for their
local hospital. Their principal tracked how much money each student raised. This box plot
shows the results.
Money raised ($)
20
40
60
80
100
120
What percent of the students raised more than $40?
%
50% of the sixth-grade students at Madison Middle School raised more than $40
What is a box plot?A box plot provides the summary of a data using the five number summary that is minimum, lower quartile, median, upper quartile and maximum.
From the diagram, the median is $40. Hence 50% of the student raised more than $40
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Find the volume of the prism.
Answer: The formula for the volume of a prism is obtained by taking the product of the base area and height of the prism. The volume of a prism is given as V = B × H where, "V" is the volume of the prism, "B" is the base area of the prism, and "H" is the height of the prism.
Mandy bought a rectangular shelf that is 1 2/3 feet long and 5/8 feet wide. What is the area of the shelf? Enter your answer as a mixed number in simplest form by filling in the boxes. $$ ft²
The area of a rectangular shelf with length of 1 2 / 3 ft and width of 5 / 8 ft is [tex]1\frac{1}{24}[/tex] ft
How to find area of a rectangle?
A rectangle is a quadrilateral. It has 2 opposite sides equal to each other.
Therefore,
area of rectangle = lw
where
l = lengthw = widthTherefore,
length = 1 2 / 3 = 5 / 3 ft
width = 5 / 8 ft
area = 5 / 3 × 5 / 8
area = 25 / 24 ft
area = [tex]1\frac{1}{24}[/tex] ft
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Which function has the given properties below? the domain is the set of all real numbers. one x-intercept is (startfraction pi over 2 endfraction, 0 endfraction). the maximum value is 3. the y-intercept is (0, –3). y = –3sin(x) y = –3cos(x) y = 3sin(x) y = 3cos(x)
The required function with maximum value 3 and x and y-intercepts π/2 and 3 respectively is y=-3cos(x)
What is a function?
A function is a rule that relates two variables.
Let us check the x-intercept, y-intercept, and maximum value for each function.
1)y =-3Sin(x)
for x-intercept put y=0
0 = -3Sin(x)
Sin(x) =0
x=0
for y-intercept put x=0
y=-3Sin0
y=0
The maximum value of the given function =the lower limit of the range of -3Sin(x) i.e. 3
Similarly, for y = -3cos(x)
x-intercept =π/2
y-intercept = 3
Maximum value of function = lower limit of the range of 3cos(x) i.e. 3
Therefore, the required function with maximum value 3 and x and y-intercepts π/2 and 3 respectively is y=-3cos(x)
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Answer:
B. y = –3cos(x)
Step-by-step explanation:
Im extremely sure, have a great day
Which of these numbers is a solution of the inequality 3x>18?
Let's solve this inequality:-
3x<18
Divide both sides by 3:-
x<6
So numbers less than 6 will make this inequality [tex]\sf{true}[/tex].
notes:-You haven't listed any numbers, so I don't know what options you have,
Please list the numbers in the comments & I will edit my answer :)
Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)
Answer:
The possible answers are all numbers above 6.
Step-by-step explanation:
3x>18
3x/3> 18/3
x> 6
Gerard has 365 baseball cards he puts as many of them into piles of 100 how many piles of 100 does he make
CAN SOMEONE PLEASE HELP
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Here's the solution ~
[tex]\qquad \sf \dashrightarrow \: \dfrac{2 {}^{n} - 1}{ {4}^{n} - 1} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{2 {}^{n} - 1}{ {( {2}^{2}) }^{n} - 1} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{2 {}^{n} - 1}{ {( {2}^{n}) }^{2} - 1} [/tex]
Now we will use this identity in denominator
[ a² - b² = (a + b)(a - b) ]
[tex]\qquad \sf \dashrightarrow \: \dfrac{ \cancel{(2 {}^{n} - 1)}}{ {( {2}^{n} }^{} + 1) \cancel{( {2}^{n} - 1)}} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{ 1}{ {( {2}^{n} }^{} + 1) } [/tex]
Answer:
[tex]\sf \dfrac{1}{2^n+1}[/tex]
Step-by-step explanation:
Given expression:
[tex]\sf \dfrac{2^n-1}{4^n-1}[/tex]
Rewrite [tex]\sf 4^n[/tex]: [tex]\sf 4^n=(2^2)^n=2^{2n}=(2^n)^2[/tex]
Rewrite 1: 1 = 1²
[tex]\sf \implies \dfrac{2^n-1}{(2^n)^2-1^2}[/tex]
Apply difference of two square formula to the denominator
[tex]\sf a^2-b^2=(a+b)(a-b)[/tex]
[tex]\sf \implies \dfrac{2^n-1}{(2^n+1)(2^n-1)}[/tex]
Cancel out the common factor [tex]\sf 2^n-1[/tex] :
[tex]\sf \implies \dfrac{1}{2^n+1}[/tex]
The volume of a right triangular prism is 72 cubic feet. the height of the prism is 9 feet. the triangular base is an isosceles right triangle. a right triangular prism has a volume of 72 cubic feet. triangles a e c and b f d are the base triangles. sides f d and b f are congruent and form a right angle. the height of the prism is 9 feet. what is the area of the triangular base? square feet what is the length of edge df? feet
Answer:
8 square feet
Step-by-step explanation:
The formula of a volume of a prism:
We have
Substitute:
divide both sides by 9
Answer:
8 and 4Step-by-step explanation:
The first one is 8
The second one is 4
The radius of the Earth is approximately 6,370 kilometers. What is the distance in scientific notation?
A.
637 × 10^2 kilometers
B.
6.37 × 10^3 kilometers
C.
637 × 10^1 kilometers
D.
63.7 × 10^2 kilometers
Answer:
it is D 63.7 × 10`2 I am not sure if it right tho
Hey there!
• QUESTION READS….
“The radius of the Earth is approximately 6,370 kilometers. What is the distance in scientific notation?”
• THE QUESTION ASKED IN EASIER WAYS
“The SPACE of Earth is about 6,370 km (kilometers). What is the length of the the Earth in scientific notation?”
• GETTING TO KNOW SCIENTIFIC NOTATION…..
It’s the writing of a number in a certain term of a product of an thing anywhere between the numbers 1 - 10 and the other thing is at the power of the number 10
• ANSWERING THE QUESTION BY DOING PROCESS OF ELIMINATION….
Option A.
637 km × 10^2 kn
= 637 km × 10 km × 10 km
= 637 km × 100 km
= 63,700 km
Option A. is incorrect because it is too big.
Option B.
6.37 km × 10^3 km
= 6.37 km × 10 km × 10 km × 10 km
= 6.37 km × 100 km × 10 km
= 6.37 km × 1,000 km
= 6,370 km
Option B. could possibly be your answer
Option C.
637 km × 10^1 km
= 637 km × 10 km
= 6,370 km
Option C. could also possibly be your answer.
Option D.
63.7 km × 10^2 km
= 63.7 km × 10 km × 10 km
= 63.7 km × 100 km
= 6,370 km
Option D. could also possibly be your answer along with B - C.
This is a tricky answer because we have MORE THAN one result.
So, we will just ELIMINATE A, C, D to make it easier.
Thus, we will say your result is:
Option B. 6.37 × 10^3 kilometers
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
What is the value of x in the figure?
Enter your answer in the box.
x =
Answer:
68 degrees
Step-by-step explanation:
The straight horizontal line is a straight angle with 180 degrees it is split in a way that you know under the right angle, is another right ange making up part of the 180° line, add 22 and then subtract what you get from 180 to get 68.
A simpler way, add the angles in the X and 22 degree things and there is a right angle, 90 degrees, subtract 22 from 90 and get 68
Two different ways, either will work
Hope this helps!
Angles are complementary
x+22=90x=90-22x=68x is 68°
1000 masks were distributed equally among a certain number of people. if there were 5 more people more , each would have received 10 masks less. among how many people was the mask distributed ?find it .
Answer:
10+5 =15 thanks for asking
ASAP PLS An angle measures 72.6° less than the measure of its complementary angle. What is the measure of each angle?
Answer:
Step-by-step explanation:
A tank in the shape of a hemisphere has a radius of 7 feet. if the liquid that fills the tank has a density of 93 pounds per cubic foot, what is the total weight of the liquid in the tank, to the nearest full pound?
The total weight of the liquid that filled the hemispheric tank to the nearest full pounds is 66775 pounds.
What is the volume of an hemisphere?An hemisphere is half of a sphere. Therefore,
volume = 2 / 3 πr³
where,
r = radiusTherefore,
r = 7 feet
volume = 2 / 3 × 3.14 × 7³
volume = 2 / 3 × 3.14 × 343
volume = 2154.04 / 3
volume = 718.013333333
volume = 718.013
Therefore,
density = mass / volume
93 = mass / 718.013
mass = 718.013 × 93
mass = 66775.24
mass ≈ 66775 pounds
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can some help me out with this EXTRA POINTS!!
Answer: ≈ 185.73009
Step-by-step explanation:
area of square: [tex]length^{2}[/tex]
area of circle: [tex]\frac{radius^{2} * \pi }{y}[/tex]
length: 15
radius = diameter/2
radius: 5
area of square - area of circle = area between square and circle:
[tex]15^{2} - \frac{5^{2} * \pi }{2} = 225 - \frac{25\pi}{2}[/tex] ≈ 185.73009
hope it helps!
Please mark as brainliest.
Is each statement true or false?
Explain your answers
A.
[tex]m \: = x[/tex]
B.
[tex]z \: = x + y[/tex]
C.
[tex]m \: = y + z[/tex]
D.
[tex]m = 180 - x[/tex]
E.
[tex]x = 180 - (y + z)[/tex]
(the triangle is on the image)
Answer:
A, B: False
C, D, E: True
Step-by-step explanation:
The angle sum theorem and the definition of a linear pair of angles can help you answer these questions.
A.m = x; False. Angles m and x are a linear pair. They are supplementary (total 180°). They are only equal if they are both 90°, which is not indicated in this diagram as being the case.
__
B.z = x+y; False. Angles x, y, and z total 180° according to the angle sum theorem. The equation is only true if z = 90°, which is not indicated in this diagram as being the case.
__
C.m = y +z; True. This is explained by the equations of D and E, which are also both true. The theorem that expresses this relationship is, "an exterior angle is equal to the sum of the remote interior angles."
__
D.m = 180° -x; True. This is exactly what we mean when we say angles m and x are a linear pair. Together, they form a straight line. The angles of a linear pair are supplementary, meaning their sum is 180°. Angle m is also called an "external angle" of the triangle.
__
E.x = 180° -(y +z); True. The angles of a triangle total 180° according to the angle sum theorem. That means the value of any one of them is the difference between 180° and the sum of the other two. This is effectively telling you that angle x is supplementary to the sum of angles y and z.
Above, we noted that angle x is supplementary to angle m. Angles that are supplementary to the same angle have the same measure, so ...
m = 180° -x
180° -x = y +z . . . . . rearrange equation E
m = y +z
Use a ladder method to write 48 and 180 as a product of their prime factors?
The human resources department at a large company regularly conducts an employee satisfaction survey. One item on the survey presents employees with the statement, “I am happy overall at work.”
Please help me:)
Answer: C
Step-by-step explanation:
Khan academy
The response that contributed most to the test statistic about human resources department is C. Disagree.
What is test statistic?It should be noted that test statistic simply means a random variable that is used in hypothesis testing.
In this case, the response that contributed most to the test statistic about human resources department is to disagree. This is because there is sufficient evidence to show that they distribution of response is different now than it was before.
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oml please don’t say anything that doesn’t help,
do any of you know what 1 3/4 + 1/6 + ____= 7 1/2 is and can you tell me how you got it
Answer:
first convert mixed fraction to improper fraction then solve by taking LCM
hope the above process helps
Answer:
5 7/12
Step-by-step explanation:
1/6 can be converted to 2/12
1 3/4 can be converted to 1 9/12
Add them together, you'll get 1 11/12
7 1/2 is equal to 7 6/12
7 6/12 - 1 11/12 = 5 7/12
5 /12 is your answer
can somone help? ill give brainlist
Answer:
13.99+.75+.75=15.49
Part A ) 15.49
Part B) Anna is correct because her pizza only cost 15.49 and if you subtract 15.49 from 20 it is 14.51
Step-by-step explanation:
How can you find percents
Answer:
To find the percentage of a number when it is in decimal form, you just need to multiply the decimal number by 100. For example, to convert 0.5 to a percentage, 0.5 x 100 = 50%. The second case involves a fraction. If the given number is in fractional form, first convert it to a decimal value and multiply by 100.
Step-by-step explanation:
. For example, to convert 0.5 to a percentage, 0.5 x 100 = 50%
hope this will help
100pts Help rounding!
Answer:
5
Step-by-step explanation:
5 158/559
= 5 + 158/559
= 5 + 0.28264758
= 5.28264758
= 5 (rounded to nearest whole number)
Answer:
5
Explanation:
[tex]\rightarrow \sf 5\dfrac{158}{559}[/tex]
[tex]\rightarrow \sf 5.282647585[/tex]
The whole number is the quotient in any fraction.
If a sequence is 0,1,1,2,3,5 what is the 11th number in the sequence?
Answer:
55
Step-by-step explanation:
This is the Fibonacci sequence! Filling out the rest of the numbers, 55 is the 11th number in this sequence.