Answer:
The First Part is A. 1/6
The Second Part is 1
The Third Part is B. 3
And The Fourth Part is B. Different
Step-by-step explanation:
Just took it. Edg 2021. Hope this helps :) (Da smiley is George, George says hi)
The probability of number 6 landing face up is 1/6.
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.
Given:
We have roll a die with number 1 to 6.
So, the possible outcome
{1, 2, 3, 4, 5, 6}
Then, the probability of number 6 landing face up
= 1 / 6
Hence, the probability is 1/6.
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Use the image to the right to answer the questions:
a. What theorems would/could you use to find x?
b. Find the value of x.
Thank you so much in advance! :)
Answer:
a. Linear pair theorem
b. x = 40
Step-by-step explanation:
a. You can use linear pair theorem. That is, two angles on a straight line are supplementary. They sum up to 180°
b. Thus:
x + (4x - 20) = 180°
x + 4x - 20 = 180
5x - 20 = 180
5x = 180 + 20
5x = 200
x = 200/5
x = 40
Out of 5 apples,10 mangoes and 13 oranges any fruits are to be distributed among two persons. Then the total number of ways of distribution is?
Answer:
the answer is 14 for each person
Step-by-step explanation:
there are 5 apples. 10 mangos and 13 oranges so if yo add them all up its 28 and half of 28 is 14 so theres your answer.
im so so sorry i it does happen to be wrong.
wich expression has a value of 1/36
(1/108)3
(1/18)2
(1/6)2
(1/2)6
Answer:
(1/6)2
Step-by-step explanation:
(1/6)2 has a value of 1/36
Olivia goes to Egypt and saw a model of triangle shaped pyramid. She enlarging using a scale factor of 1.2. What will be the perimeter and area of the new triangle pyramid?
Volume of a cube
3.8 ft
1.1 ft
Help me please please help me
Find the value of x.
Answer:
x=6,24
Step-by-step explanation:
Use the Theorem of Pythagoras.
H^2= S^2+ S^2
8^2= 5^2 + S^2
64-25 = S^2
39 = S^2
6,24= S
S is x therefore x = 6,24
Can anyone pls help me fill in the blanks?
Pi belongs to which number set?
What is the value of pi to the hundred-thousandths place?
Answer:
irrational number
Step-by-step explanation:
It is a non-recurring continuous decimal number
Answer:
Irrational and 3.14159
Step-by-step explanation:
t
(12 - 8)3 – 24 x 2
Plz help me
Help in these two! See these questions below.
Answer:
16. y = 7x
17. y = x + 6
After a discount of 30%, the sale price of a ticket to Cedar Point is $35. What is the original
price? Show your work
Answer: 116.67
Step-by-step explanation:
30/100 * x = 35
3/10 * x = 35
3x = 350
x = 116.67
Hey I need you guys' help
Answer: 120 kids were surveyed
And 20 kids chose stuffed animal
Step-by-step explanation: hope this help
Answer:
120 were surveyed and about 16%(16.6666%) chose stuffed animal
Step-by-step explanation:
PLEASEEEEEEEEEEEEEEEEEEEEE HELP MEEEEEEEEEEEEEEEEEEEEEEEEEE
Please someone help me with the question
Answer:
[tex]\displaystyle \frac{d}{dx}[e^{2x}] = 2e^{2x}[/tex]
[tex]\displaystyle \frac{d}{dx}[e^{3x}] = 3e^{3x}[/tex]
General Formulas and Concepts:
Algebra I
Terms/CoefficientsExponential Rule [Multiplying]: [tex]\displaystyle b^m \cdot b^n = b^{m + n}[/tex]Calculus
Derivatives
Derivative Notation
eˣ Derivative: [tex]\displaystyle \frac{d}{dx}[e^x] = e^x[/tex]
Derivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{d}{dx}[e^{2x}] = \frac{d}{dx}[e^x \cdot e^x][/tex]
[tex]\displaystyle \frac{d}{dx}[e^{3x}] = \frac{d}{dx}[e^x \cdot e^{2x}][/tex]
Step 2: Differentiate
[tex]\displaystyle \frac{d}{dx}[e^{2x}][/tex]
[Derivative] Product Rule: [tex]\displaystyle \frac{d}{dx}[e^{2x}] = \frac{d}{dx}[e^x]e^x + e^x\frac{d}{dx}[e^x][/tex][Derivative] eˣ Derivative: [tex]\displaystyle \frac{d}{dx}[e^{2x}] = e^x \cdot e^x + e^x \cdot e^x[/tex][Derivative] Multiply [Exponential Rule - Multiplying]: [tex]\displaystyle \frac{d}{dx}[e^{2x}] = e^{2x} + e^{2x}[/tex][Derivative] Combine like terms [Addition]: [tex]\displaystyle \frac{d}{dx}[e^{2x}] = 2e^{2x}[/tex][tex]\displaystyle \frac{d}{dx}[e^{3x}][/tex]
[Derivative] Product Rule: [tex]\displaystyle \frac{d}{dx}[e^{3x}] = \frac{d}{dx}[e^x]e^{2x} + e^x\frac{d}{dx}[e^{2x}][/tex][Derivative] eˣ Derivatives: [tex]\displaystyle \frac{d}{dx}[e^{3x}] = e^x(e^{2x}) + e^x(2e^{2x})[/tex][Derivative] Multiply [Exponential Rule - Multiplying]: [tex]\displaystyle \frac{d}{dx}[e^{3x}] = e^{3x} + 2e^{3x}[/tex][Derivative] Combine like terms [Addition]: [tex]\displaystyle \frac{d}{dx}[e^{3x}] = 3e^{3x}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
please show all work i will mark brainliest :)
Answer:
We have 8 boys and 12 girls, and we have 5 boys that have a speaking part, and 7 of the 12 girls do not have a speaking part, so 5 girls have a speaking part, which makes 10 speaking parts out of 20 so we have [tex]\frac{10}{20} = \frac{1}{2}[/tex].
Hope this helps!
Answer:
Step-by-step explanation:
This math problem is only made difficult b/c they want you to figure out home many total kids have a speaking part in the play
5 boys do , but they give the mount of girls in a tricky way solve that part. then mulitipy by 5 to make the totals from 100
20 total kids
8 are boys
20-8 = 12
12 are girls
7 of those 12 do NOT speak in the play
12 - 7 = 5
5 girls speak in the play
5 boys + 5 girls = 10 kids speak in the play
you can probably figure out from here... 1/2 of the kids speak .. that are in the play
so it's 50% as likely .. to pick someone that has a speaking part in the play as not
The mean of a population is 74 and the standard deviation is 15. The shape of the population is unknown. Determine the probability of each of the following occurring from this population. Appendix A Statistical Tables a. A random sample of size 36 yielding a sample mean of 78 or more b. A random sample of size 150 yielding a sample mean of between 71 and 77 c. A random sample of size 219 yielding a sample mean of less than 74.2Incorrect. The mean of a population is 74 and the standard deviation is 15. The shape of the population is unknown. Determine the probability of each of the following occurring from this population. Appendix A Statistical Tables a. A random sample of size 36 yielding a sample mean of 78 or more b. A random sample of size 150 yielding a sample mean of between 71 and 77 c. A random sample of size 219 yielding a sample mean of less than 74.2
Answer:
a) 0.0548 = 5.48% probability of a random sample of size 36 yielding a sample mean of 78 or more.
b) 0.9858 = 98.58% probability of a random sample of size 150 yielding a sample mean of between 71 and 77.
c) 0.5793 = 57.93% probability of a random sample of size 219 yielding a sample mean of less than 74.2
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The mean of a population is 74 and the standard deviation is 15.
This means that [tex]\mu = 74, \sigma = 15[/tex]
Question a:
Sample of 36 means that [tex]n = 36, s = \frac{15}{\sqrt{36}} = 2.5[/tex]
This probability is 1 subtracted by the pvalue of Z when X = 78. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{78 - 74}{2.5}[/tex]
[tex]Z = 1.6[/tex]
[tex]Z = 1.6[/tex] has a pvalue of 0.9452
1 - 0.9452 = 0.0548
0.0548 = 5.48% probability of a random sample of size 36 yielding a sample mean of 78 or more.
Question b:
Sample of 150 means that [tex]n = 150, s = \frac{15}{\sqrt{150}} = 1.2247[/tex]
This probability is the pvalue of Z when X = 77 subtracted by the pvalue of Z when X = 71. So
X = 77
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{77 - 74}{1.2274}[/tex]
[tex]Z = 2.45[/tex]
[tex]Z = 2.45[/tex] has a pvalue of 0.9929
X = 71
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{71 - 74}{1.2274}[/tex]
[tex]Z = -2.45[/tex]
[tex]Z = -2.45[/tex] has a pvalue of 0.0071
0.9929 - 0.0071 = 0.9858
0.9858 = 98.58% probability of a random sample of size 150 yielding a sample mean of between 71 and 77.
c. A random sample of size 219 yielding a sample mean of less than 74.2
Sample size of 219 means that [tex]n = 219, s = \frac{15}{\sqrt{219}} = 1.0136[/tex]
This probability is the pvalue of Z when X = 74.2. So
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{74.2 - 74}{1.0136}[/tex]
[tex]Z = 0.2[/tex]
[tex]Z = 0.2[/tex] has a pvalue of 0.5793
0.5793 = 57.93% probability of a random sample of size 219 yielding a sample mean of less than 74.2
The mean electrix bill for family C is approximately: $33., $21., $28., and $25. greater than the mean electric bill for family A. This difference is about 2 1/2 times, 3 1/2 times, 2 times, or 1 1/2 times. (part A: choices r $33, $21, $28, & $25. Part B: choices r 2 1/2, 3 1/2, twice, or 1 1/2 times. I still need the answer as well. mean of family C electric bill is $1,339.60 and family A: $943.00. )
A lottery offers one $1000 prize, two $600 prizes, two $300 prizes, and five $200 prizes. One thousand tickets are sold at $7 each. Find the expectation if a person buys three tickets. Assume that the player's ticket is replaced after each draw and that the same ticket can win more than one prize. Round to two decimal places for currency problems.
Answer:
-$9.6
Step-by-step explanation:
X : ___ 1000 ____600 ____300 ___200
P(x): __ 1/1000 _ 2/1000 _ 2/1000 _ 5/1000
Expected winning per ticket :
Σ(X * p(X)) = [(1000 * 1/1000) + (600 * 2/1000) + (300 * 2/1000) + (200 * 5/1000) - price per ticket
= 1 + 1.2 + 0.6 + 1 - 7
= 3.8 - 7
= - $3.2
Expextwd winning if 3 tickets Is purchased :
3 * - 3.2= - $9.6
Which of the following would be the most logical first step to solving this
quadratic equation?
x2 - 4x + 16 = 2
Answer:
subtract 2 on both sides
help plz on question 27
Answer:
all of the above
Step-by-step explanation:
Step-by-step explanation:
i think that it will be (D) all the above
Compound area figuring out this problem . Thank you for those who are able to help with this .
Answer:
Finding the bottom area:
12 + 2 = 14 x 2 = 28
Triangle Area: 4 + 2 = 6 x 4 = 24 divided by 2 is 12
Top left figure area is:
2 x 8 = 16
Add all of it together: 28 + 12 + 16 = 56
Question 4(Multiple Choice Worth 4 points)
(7.02)
What is the value of q in the equation 5q- 10 = 75?
017
O 60
65
O 85
Answer:
17
Step-by-step explanation:
divide by 5 both side and q will be:
q-2=15 then take 2 to the other side which will be positive . therefore
q=17
Use the figure below to determine the exact value of the given function sin2 0
Answer:
sin2θ = [tex]\frac{12}{13}[/tex]
Step-by-step explanation:
Since, sin2θ = 2sinθcosθ
From the triangle given in the picture,
Opposite side of angle θ = 2 units
Adjacent side of angle θ = 3 units
Hypotenuse = [tex]\sqrt{2^2+3^2}[/tex] = [tex]\sqrt{13}[/tex] [By Pythagoras theorem]
sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{2}{\sqrt{13}}[/tex]
cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{3}{\sqrt{13} }[/tex]
sin2θ = [tex]2\times (\frac{2}{\sqrt{13}})(\frac{3}{\sqrt{13}})[/tex]
= [tex]\frac{12}{13}[/tex]
Max has 2 red tiles, 3 blue tiles, 4 yellow
tiles, and 8 green tiles. How many
different rectangular arrays of each color
can Max make? Explain how you know
you found all the arrays. Solve this
problem any way you choose.
The arrays found here are as follows; red: 1 blue 2 yellow 7. green. 16
What is the combination?Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.
We are given that Max has 2 red tiles, 3 blue tiles, 4 yellow
tiles, and 8 green tiles.
We can see that 4 and 9 could be 1 array. 2 and 18 can be another array. 3 and 12 could be another one. 6 and 6 could be another array. Lastly, 1 and 36 could be an array.
There should be a total of 5 arrays. If we include the 1 and 36 array, then it's 5, I'd you don't include it, then it's 4 arrays.
Hence, there are red: 1 blue 2 yellow 7. green. 16
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Why do you think adding and subtracting polynomial expressions is like adding and subtracting
expressions?
Answer:
Polynomials are closed under addition and subtraction, which is fancy mathspeak that means that whenever we add or subtract two polynomials, we always get another polynomial. In that way, they behave a lot like the numbers you're probably already familiar with. Adding and subtracting:
Two integers gives you another integerTwo rational numbers gives you another rational numberTwo real numbers gives you another real numberAnd it works the same with polynomials!
What are the coordinates for A,B and C
Answer:
Step-by-step explanation:
The x value comes first. The y value second. (alphabetical order).
A (-1,4)
B (2,3)
C (3,0)
how would I find the area and perimeter
The little lines through the 4 sides mean all the sides are the same length.
The area is side x side = 8 x 8 = 64 square cm.
Perimeter is the sum of the 4 sides = 8 + 8 + 8 +8 = 32 cm.
Answer:
Perimeter
P =a+a+a+a =4a
P = 4*8
P=32cm
Area
A = a*a = [tex]a^{2}[/tex]
A = [tex]8^{2}[/tex]
A = 64[tex]cm^{2}[/tex]
PLEASEEEE HELP!!!!!!!!!!!!
Answer: 4188790 cm^3
Step-by-step explanation:
To find Radius of sphere S we multiply 1/5 by 500.
1/5 x 500 = 100
We now have the radius of sphere S. Now we use the formula for a sphere and we get our answer.
4/3 \pi 100^2 = 4188790.205
Choose the circle with the greatest area
Answer:
#3
Step-by-step explanation:
What is the area of this figure?
Enter your answer in the box.
___in^2
Answer:
400
Step-by-step explanation:
8*20/2+16*20=400.
