Martin has tiles with all the prime numbers under 20. He places them into a bag. If he selects one tile from the bag two times without replacing them, what is the probability that he will select a prime number less than 10 both times?
Answers
The probability that Martin will select a prime number less than 10 both times is 1/30 or approximately 0.033.
To calculate this probability, we can first determine the total number of prime numbers less than 20, which is 8. Martin will have 8 tiles in the bag. The probability of selecting a prime number less than 10 on the first draw is 4/8, since there are 4 prime numbers less than 10 (2, 3, 5, 7) out of a total of 8 prime numbers. On the second draw, there will be one less tile in the bag, since Martin did not replace the tile he selected on the first draw.
Therefore, there will be 7 tiles remaining in the bag, out of which 3 are prime numbers less than 10 (2, 3, 5). The probability of selecting one of these tiles is 3/7. To find the probability of both events occurring, we multiply the probabilities together: (4/8) x (3/7) = 1/30.
In summary, the probability of Martin selecting a prime number less than 10 both times is 1/30 or approximately 0.033. This is calculated by multiplying the probability of selecting a prime number less than 10 on the first draw (4/8) by the probability of selecting a prime number less than 10 on the second draw (3/7), given that a tile was not replaced after the first draw.
It's important to note that this assumes that all prime numbers less than 20 are equally likely to be selected and that Martin randomly selects two tiles without replacement. If the tiles are not equally likely to be selected, or if Martin selects the tiles in a non-random manner, then the probability may be different.
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Related Questions
Which two consecutive whole
numbers is V90 between?
8 and 9
b
7 and 8
10 and 11
d
9 and 10
Answers
Given:
The value is \(\sqrt{90}\).
To find:
The two consecutive whole numbers such that \(\sqrt{90}\) lies between those numbers.
Solution:
The perfect square numbers between 1 to 100 are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100.
We know that, 90 lies between 81 and 100.
\(81<90<100\)
\(9^2<90<10^2\)
The value of x radical cannot be negative. So taking square root on each side, we get
\(\sqrt{9^2}<\sqrt{90}<\sqrt{10^2}\)
\(9<\sqrt{90}<10}\)
The given number lies between 9 and 10. Therefore, the correct option is (d)
How does affordance contribute to motor development?
Answers
1. Affordably presented by objects or environments, such as a ball providing the opportunity to practice grasping, throwing, and catching.
2. Individuals perceive these affordances and decide to engage with them, based on their current motor abilities and developmental stage.
3. Through interacting with affordances, individuals practice and develop their motor skills by attempting, refining, and mastering the actions associated with affordance.
Affordably is a term used to describe the relationship between an individual's perception of their environment and their ability to interact with it. In terms of motor development, affordances refer to the opportunities for movement that the environment presents. These opportunities can be both physical and social and can include objects to manipulate, spaces to explore, and people to interact with.
The concept of affordance is important for motor development because it provides children with opportunities to practice and refine their motor skills. As children explore their environment, they are able to perceive the various affordances that it presents, and they can use these affordances to develop their motor skills.
For example, a child may perceive that a box can be used as a stepping stool, and they may use this affordance to climb up onto a table. In doing so, they are developing their balance, coordination, and strength. Similarly, a child may perceive that a ball can be thrown, caught, and bounced, and they can use these affordances to develop their hand-eye coordination, spatial awareness, and timing.
Overall, affordance plays an important role in motor development by providing children with opportunities to explore and interact with their environment and to develop their motor skills in the process.
Affordance contributes to motor development by providing opportunities for individuals to interact with their environment, which in turn helps them develop and refine their motor skills. Affordance refers to the potential actions or uses that an object or environment provides to an individual. In the context of motor development, affordances can be seen as opportunities for practicing and enhancing motor abilities.
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How do i solve this equation?
Answers
Answer:
x = -2.5
Step-by-step explanation:
The absolute value symbols just mean that if the result of what is inside the symbols is always positive.
You can treat this problem like a normal equation.
|11 - 4x| = 21
Subtract 11 from both sides
-4x = 10
Divide both sides by -4
x = -2.5
Answer: x = - 2.5
Step-by-step explanation:
|11 - 4x| = 21
11 - 4x = 21
subtract 11
11- 11 - 4x = 21 -11
-4x = 10
divide by -4
-4x/-4 = 10/-4
x = -2.5
The price of an item has been reduced by 20% The original price was $32 find the price of the item now.
Answers
Answer:
25.6
Step-by-step explanation:
32-(32*20%)=32-6.4=25.6
x : 28 = 7 : x calculate the positive value of x .
Answers
answer is 2.
x is divided by 28 and 7 is divided by x
after that cut 28 by 7
and the anwer will be x square = 4
and the square will go to 4
and four will be root 4
and the answer will be x = 2
The side lengths of a triangle are 9, 12, and 15. Is this a right triangle?
Answers
Answer:
Yes, this is a right triangle.
Step-by-step explanation:
If you look more closely, you can notice that it is a 3-4-5 Pythagorean triple and it was multiplied by 3 to get 9-12-15.
Or you can do it using the Pythagorean Theorem directly:
9^2 + 12^2 = 15^2
and that is true.
Answer:
yes it is.
Step-by-step explanation:
pythagorean theorem. A^2 + B^2 = C^2
Ex 9^2 + 12^2 = 15^2
y = -4.r - 2
4x - 2y = -8
Answers
Answer:
if it is thren true (???) you gots to be more specific...pls)
Step-by-step explanation:
is this a trues or false satement
Solve the equation. (Enter your answers as a comma-separated list.)x210x − 6x10x = 27(10x)x =
Answers
Answer:
x = -3, 9
Explanation:
First, let us divide both sides of the equation by 10^x; this gives,
\(\frac{x^210^x-6x\times10^x}{10^x}=\frac{27\times10^x}{10^x}\)\(\Rightarrow x^2-6x=27\)subtracting 27 from both sides gives
\(x^2-6x-27=0\)The left-hand side can be factored as
\((x-9)(x+3)=0\)which gives us two further equations
\(\begin{gathered} x-9=0 \\ \boxed{x=9.} \end{gathered}\)\(\begin{gathered} x+3=0 \\ \Rightarrow\boxed{x=-3.} \end{gathered}\)Hence, the two solutions we get are x = 9 and x = -3.
अब पछताए होत कया जब चिडिया चुग गई खेत अनुचछेद लिखिए
Answers
Step-by-step explanation:
Go to the Indian Brainly.
I am Indian.
What is the lateral surface area of the triangular pyramid shown? Round to the nearest tenth.
A triangular pyramid. The base has a base of 12 and height of 12. A side has a base of 12 and height of 7.8. The other 2 sides have a base of 10 and height of 8.
[Not drawn to scale]
126.8
173.6
206.8
253.6
Answers
Answer:
aasssss
Step-by-step explanation:
aaaxxxxxxxxx
A is the
okndsaxknfj ejfkl jfkj jlk jalkfjkfjkljfklj j
The principal would like to assemble a committee of 5 students from the 15-memberstudent council. How many different committees can be chosen?
Answers
SOLUTION
The question involves combination since it only deals with the selection without arrangement.
Hence the formula to use is
\(^nC_r=\frac{n!}{(n-r)!r}\)For this question, we have
\(\begin{gathered} n=15,r=5 \\ ^nC_r=\frac{n!}{(n-r)!r} \\ \text{becomes } \\ ^{15}C_5=\frac{15!}{(15-5)!5!} \end{gathered}\)Simplifying the last expression we obtained
\(\begin{gathered} ^{15}C_5=\frac{15!}{10!5!} \\ =\frac{15\times14\times13\times12\times11\times10!}{10!\times5!} \\ =3003 \end{gathered}\)Therefore,
The number of committees to be chosen is 3003
you are dealt a hand of three cards, at random from a deck. find the probability of each eventdescribed below. a. you get no aces.
Answers
The probability of not getting any aces when dealt a hand of three cards from a deck is approximately 0.782 or 78.2%.
In a standard deck of 52 cards, there are four aces. When dealt a hand of three cards, we want to find the probability of not getting any aces.
The total number of possible outcomes is given by the number of ways to choose three cards out of 52, which can be calculated using combinations. Therefore, the total number of possible outcomes is C(52, 3) = 22,100.
To determine the number of favorable outcomes, we need to count the number of hands without any aces. Since there are four aces in the deck, there are 48 non-ace cards. Therefore, the number of favorable outcomes is C(48, 3) = 17,296.
Finally, the probability of not getting any aces can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes:
Probability = Number of favorable outcomes / Total number of possible outcomes = 17,296 / 22,100 ≈ 0.782 or 78.2%.
Hence, the probability of not getting any aces when dealt a hand of three cards from a deck is approximately 0.782 or 78.2%.
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Find the slope of the line shown on the graph to the right.
Select the correct choice below and, if necessary, fill in the answer box within your choice.
OA. The slope of the line is
(Simplify your answer. Type an integer or a fraction.)
K
OB. The slope is undefined.
di
42-
46
co
द
Answers
Answer:
1/2 or 0.5
Step-by-step explanation:
The slope formula is: y2-y1/x2-x1
The two coordinates shown in the graph: (-1,0) and (3, 2)
-
Now lets substitute:
m= 2-0/3-(-1)
m = 1/2 or 0.5
Tìm x, y, z biết x (x + y + z) = - 5; y (x + y + z) = 9; 7 (x + y + z) = 5
Answers
Step-by-step explanation:
Tim xyz. x (x+y+z) = -12 ;y (x+y+z) = 18 ;z (x+y+z) = 30
What is the percent of .125
Answers
the percent of .125 is 100%
36% of the tarts that a baker baked were strawberry tarts. He baked 98 more chocolate tarts than strawberry tarts. How many tarts did the baker bake in all?
Answers
Answer:
350
Step-by-step explanation:
100% - 36% = 64% (we first find out the remaining percentage)
Now we know there are 98 more chocolate tarts than strawberry tarts. We have to find out that percentage.
So, 64% - 36% = 28%
So 98 of the chocolate tarts make up 28%
x --------> 100%
98 --------> 28%
Just follow the percentage formula.
98 * 100 = 9800
9800/28 = 350
USE A GRAPH PLEASE!!
Answers
Answer:
Step-by-step explanation:
1.In the equation there is no y-intercept so it will be at 0
2.The slope or rise over run is 3/1 and is positive because there are no negative signs. Going up 3 and to the right 1 is how to mark the points on your graph and the opposite side will be doing a -3 and -1 by going down three from the 0 points and to the left 1.
3.As seen in the graph there are the points given and the line directed on them.
4.We already determined that our slope is positive
m=3
b=0
A company offers four plans for customers who want to rent DVDs and video games. The cost of the plans can be modeled by a linear function that combines a one time membership fee with a per disc rental rate. The table shows the total cost, including membership fees, for a person who rents 1,2 and 5 discs in a month
Discs rented plan A B C D
1. $14. $12. $10. $12
2. $17. $16. $15. $21
5. $26. $28. $30. $48
Answers
The plan with the smallest one-time membership fee is Plan D.
The point-slope formula will be used to determine the equation that models the cost of each plans.
(y - y₁) = [(y₂ - y₁)/(x₂ - x₁)](x - x₁)
where (x₁, y₁) is the coordinates of point 1
(x₂, y₂) is the coordinates of point 2.
For the equation y = mx + b,
let x = number of discs rented
y = total cost
m = rental rate per disc
b = one-time membership fee
Plan A
(y - 14) = [(17 - 14)/(2 - 1)](x - 1)
y - 14 = 3x - 3
y = 3x + 11
Plan B
(y - 12) = [(16 - 12)/(2 - 1)](x - 1)
y - 12 = 4x - 4
y = 4x + 8
Plan C
(y - 10) = [(15 - 10)/(2 - 1)](x - 1)
y - 10 = 5x - 5
y = 5x + 5
Plan D
(y - 12) = [(21 - 12)/(2 - 1)](x - 1)
y - 12 = 9x - 9
y = 9x + 3
Hence, the plan with the smallest one-time membership fee, b, is Plan D.
Your question is incomplete, but most probably you are asking
"...Which plan has the smallest one-time membership fee?"
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Find the distance between the points given.
(-3, 2) and (9, -3)
V61
V37
13
Answers
Answer:
\(\displaystyle d = 13\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: \(\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)Step-by-step explanation:
Step 1: Define
Point (-3, 2)
Point (9, -3)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute [DF]: \(\displaystyle d = \sqrt{(9+3)^2+(-3-2)^2}\)(Parenthesis) Add/Subtract: \(\displaystyle d = \sqrt{(12)^2+(-5)^2}\)[√Radical] Exponents: \(\displaystyle d = \sqrt{144+25}\)[√Radical] Add: \(\displaystyle d = \sqrt{169}\)[√Radical] Evaluate: \(\displaystyle d = 13\)Answer:
13 units
Step-by-step explanation:
Hope it helps.
Pls help ahh I suck at ka ty
Answers
Answer:
alana makes $15 an hour
y= $15x
Step-by-step explanation:
y equals the total amount she makes
x equals the amount of hours she works
1
6
the fourths and sixths are
1
7
In this picture of
4
subdivided further.
What do you notice, with these new subdivisions?
Answers
Which expression is equivalent to (8^2)^-4
Answers
Answer:
C: \(\frac{1}{8*8*8*8*8*8*8*8}\)
Step-by-step explanation:
\(a^{-n} = \frac{1}{a^n}\)
Since a = \(8^2\) :
\((8^2)^{-n} = \frac{1}{(8^2)^n} =\frac{1}{8^{2n}}\)
Since n = 4 :
\((8^2)^{-4} =\frac{1}{8^{2*4}}=\frac{1}{8^{8}}=\frac{1}{8*8*8*8*8*8*8*8}\)
Simplify the equation. Show your work.\(-i^3^2\)
Answers
\({\Large \begin{array}{llll} i^4=1 \end{array}} \\\\[-0.35em] ~\dotfill\\\\ -i^{32}\implies -i^{4\cdot 8}\implies -(i^4)^8\implies -(1)^8\implies \text{\LARGE -1}\)
find the inverse of the matrix (if it exists). (if an answer does not exist, enter dne.) 1 2 5 9
Answers
To find the inverse of a matrix, we'll denote the given matrix as A:
A = [1 2; 5 9]
How to find the Inverse of a Matrix
We can calculate the determinant of matrix A and see if there is an inverse. Inverse exists if the determinant is non-zero. Otherwise, the inverse does not exist (abbreviated as "dne") if the determinant is zero.
Calculating the determinant of A:
det(A) = (1 * 9) - (2 * 5) = 9 - 10 = -1
Since the determinant is not zero (-1 ≠ 0), the inverse of matrix A exists.
Next, we can find the inverse by using the formula:
A^(-1) = (1/det(A)) * adj(A)
where adj(A) denotes the adjugate of matrix A.
The cofactor matrix, which is created by computing the determinants of the minors of A, is needed to calculate the adjugate of A.
Calculating the cofactor matrix of A:
C = [9 -5; -2 1]
The cofactor matrix C is obtained by changing the sign of every other element in A and transposing it.
Finally, we can calculate the inverse of A:
A^(-1) = (1/det(A)) * adj(A)
= (1/-1) * [9 -5; -2 1]
= [-9 5; 2 -1]
Therefore, the inverse of the given matrix is:
A^(-1) = [-9 5; 2 -1]
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what is the length of the hypotenuse if it's 8m and 15m?
Answers
In this case the answer is very simple. .
Step 01:
Data
side a = 8m
side b = 15m
c = hypotenuse = ?
Step 02:
Pythagoras Theorem Formula
Hypotenuse² = Perpendicular² + Base²
c² = a² + b²
c ² = (8m)² + (15m)²
c ² = 64m² + 225m²
c ² = 289m²
\(undefined\)anyone a single pringle and i need help 500 divided by 23 times 3
Answers
Answer:
65.21739130434783
Step-by-step explanation:
Which expression has the same meaning as n 5/3?
Answers
Answer:
Step-by-step explanation:
Option C
HELP PLEASEEEEE I'll give you a crown
Answers
Answer:
8.64%
Step-by-step explanation:
Write it as a decimal
7/81 = 0.0864
0.0864 is the decimal representation for 7/81
For Percentage Conversion :
step 1 To represent 0.0864 in percentage, write 0.0864 as a fraction
Fraction = 0.0864/1
step 2 multiply 100 to both numerator & denominator
(0.0864 x 100)/(1 x 100) = 8.64/100
8.64% is the percentage representation for 7/81
(6x10^4)x0.07 simplified
Answers
Answer:
4,200
Step-by-step explanation:
(6x10^4) x 0.07
(6x10000) x 0.07
60000 x 0.07
= 4200
Chi-square distributions that are positively skewed have a research hypothesis that is?
Answers
Answer:
A one tailed test
Step-by-step explanation:
Chi-Square Distributions That Are Positively Skewed Have A Research Hypothesis That Is A One-Tailed Test.
Chi-Square distributions are positively skewed, with the degree of skew decreasing with increasing degrees of freedom.
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One-Tailed Test
In probability theory and statistics, the chi-square distribution with k degrees of freedom is the distribution of the sum of squares of k independent standard normal random variables. The chi-square distribution is a continuous probability distribution. The shape of the chi-square distribution depends on its degrees of freedom k. It is used to describe the distribution of the sum of squares of random variables. The chi-square distribution is positively skewed, with decreasing skewness as the degrees of freedom increase. The chi-squre distribution approaches the normal distribution on increase of degree of freedom.Chi-Square distributions that are positively skewed have a research hypothesis that is a One-Tailed Test.
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