Answer:
The required probability is [tex]\frac{7}{9}[/tex].
Step-by-step explanation:
Set given is:
S = {1, 2, 3, 5, 15, 21, 29, 38, 500}
Total number of elements in set, [tex]n(S)[/tex] = 9
Let A be the event that the number is less than 29 ({1, 2, 3, 5, 15, 21}).
Number of items in the event A, [tex]n(A)[/tex] = 6
Probability of event A,
[tex]P(A) = \dfrac{n(A)}{n(S)}}=\dfrac{6}{9} \Rightarrow \dfrac{2}{3}[/tex]
Formula for probability of any event E:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
Let B be the event that the number is odd (either of {1,3,5,15,21,29}).
Number of items in the event B, [tex]n(B)[/tex] = 6
Probability of event B,
[tex]P(B) = \dfrac{n(B)}{n(S)}}=\dfrac{6}{9} \Rightarrow \dfrac{2}{3}[/tex]
The event A and B have a few elements in common, i.e. numbers less than 29 which are odd as well.
The common elements are represented as:
[tex]A \cap B = \{1, 3, 5, 15, 21\}[/tex]
[tex]n(A\cap B) = 5[/tex]
[tex]P(A \cap B ) = \dfrac{n(A \cap B)}{n(s)}\\\Rightarrow P(A \cap B) = \dfrac{5}{9}[/tex]
To find probability of selecting a number which is either less than 29 (event A) or odd (event B),
We have to find [tex]P(A\ or \ B)[/tex] which is represented as [tex]P(A \cup B)[/tex] and the formula is:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)\\\Rightarrow \dfrac{2}{3} + \dfrac{2}{3} - \dfrac{5}{9}\\\Rightarrow \dfrac{12-5}{9}\\\Rightarrow \dfrac{7}{9}[/tex]
The required probability is [tex]\frac{7}{9}[/tex].
Which of the following is the inverse of the statement "If I do my homework,
then it will snow"?
O A. If I do not do my homework, then it will snow.
B. If it does not snow, then I will not do my homework.
C. If it snows, then I will do my homework.
D. If I do not do my homework, then it will not snow.
SUBMIT
Answer:
D. If I do not do my homework, then it will not snow.
Explanation:
An inverse of anything is the contrary or opposite of the given statement or idea or anything. And in a way, it is the same as the antonym, opposite or contradictory factor of the given point.
The given sentence/ proposition is-
if I do my homework, then it will snow.
In this sentence, the hypothesis of the homework getting done concludes that it will snow. So, for the inverse of this proposition, the positive nature of the sentence will be turned into a negative one.
Thus, the correct answer will be such that if the homework is not done, then it will also not snow. So, the correct answer is option D.
Answer: it’s D
Step-by-step explanation:
There are 3 yellow marbles and 8 silver marbles in a bag. You randomly choose one of the marbles. What is the probability of choosing a yellow marble? Write your answer as a fraction in simplest form.
Answer:
Step-by-step explanation:
The probability will be number of Yellows divided by the total number of Marbles
Here there are 3 yellows and 11 marbles in total
The probability is
3/11
Don't mention it
Find: P ( Large or Red )
Answer: 37/40
Step-by-step explanation: 17+8+12 out of 40 total
If b = the number of blue bikes, which algebraic expression represents the
phrase below?
the sum of the number of blue bikes and the 9 red bikes
A. b=9
B. b +9
C. b-9
D. b.9
SUBMI
Answer:
B
Step-by-step explanation:
b = number of blue bikes
9 = 9 red bikes
1. "The sum of," this tells us that the answer will be addition based. Based on this information we can solve the question as there is only one answer with an addition symbol (B)
What amount of discount does Ethan get.
Answer:
Step-by-step explanation:
Think about how many boxes he had bought, which totals to over £80 which means he had received an 8 percent discount hope this is right
Solve. Thank you so much! A picture is there. <3
Answer:
-8
Step-by-step explanation:
47 = -7x -9
Add 9 to each side
47+9 = -7x-9+9
56 = -7x
divide each side by -7
56/-7 = -7x/-7
-8 = x
The area of a rectangle is 252 cm², and the length is 3 less than 2 times the width. Find the dimensions of the rectangle.
Answer:
21cm, 12cm
Step-by-step explanation:
width=x cm
length=2x-3 cm
area= 252cm²
l*b= 252 cm²
(2x-3)(x)=252
2x²-3x= 252
this is how I did it
we need to find the nearest square of the number (it should be lesser than the area)
that is 225, whose square root is 15.
since there is a coefficient to the x², the value of x would be calculate like this 15- (2+1)= 15-3 = 12
x= 12
we can verify it too,
2*(12)² - 3*12=252
288-36=252
252=252
therefore width is 12 cm and width is 2*12-3= 24-3= 21 cm
verify;
21*12= 252
252=252
hence the dimensions are 12 am (width) and 21 cm(length).
Please answer correctly!!!!!!!! Will mark brainliest !!!!!!!!!!
Answer: 30 white and 20 yellow
the aswer is c and can u place mack it clear
Step-by-step explanation:
Which statements are true? Check all that apply.
Answer:
It's (A) and (D) like the person in the comments said. (B) is wrong.
Step-by-step explanation:
Answer:
j2nds 3 rd
Step-by-step explanation:
Please help me out :( I’m so behind :((
Answer:
[tex]f(4) = \frac{256}{3}[/tex]
Step-by-step explanation:
To find f(4), '4' will need to be substituted in place of 'x'. Therefore:
[tex]f(x)\frac{1}{3} * 4^{x}[/tex] becomes:
[tex]f(4) = \frac{1}{3}* 4^{4}[/tex]
Simplify:
[tex]f(4) = \frac{1}{3}* 256\\ \\f(4) = \frac{256}{3}[/tex]
Therefore, f(4) equals [tex]\frac{256}{3}[/tex]
Find x if 8.4% of x is 420.The right answer will be marked as brainliest and the wrong answer will be reported
One terameter equals 12 10 meters. One micrometer equals 6 10 − meter. One nanometer equals 9 10 −meter. A. Find the product of one terameter and one micrometer, using only positive exponents. B. Find the quotient of one terameter and one micrometer, using only positive exponents. C. Find the product of one terameter and one nanometer, using only positive exponents. D. Find the quotient of one terameter and one nanometer, using only positive exponents. E. Find the quotient of one nanometer and one terameter, using only positive exponents. F. Find the quotient of one nanometer and one micrometer, using only positive exponents. G. Find the product of one nanometer and one micrometer, using only positive exponents.
Answer:
a) [tex]x = 10^{18}\,\mu m^{2}[/tex], b) [tex]x = 10^{18}[/tex], c) [tex]x = 10^{21}\,\mu m^{2}[/tex], d) [tex]x = 10^{21}[/tex], e) [tex]x = \frac{1}{10^{21}}[/tex], f) [tex]x = 10^{3}\,nm^{2}[/tex], g) [tex]x = 10^{3}\,nm^{2}[/tex]
Step-by-step explanation:
a) The product of one terameter and one micrometer is:
[tex]x = (1\,tm)\cdot (10^{12}\,\frac{m}{tm})\cdot (10^{6}\,\frac{\mu m}{m} ) \cdot (1\,\mu m)[/tex]
[tex]x = (10^{18}\,\mu m)\cdot (1\,\mu m)[/tex]
[tex]x = 10^{18}\,\mu m^{2}[/tex]
b) The quotient of one terameter and one micrometer is:
[tex]x = \frac{(1\,tm)\cdot (10^{12}\,\frac{m}{tm} )\cdot (10^{6}\,\frac{\mu m}{m} )}{1\,\mu m}[/tex]
[tex]x = \frac{10^{18}\,\mu m}{1\,\mu m}[/tex]
[tex]x = 10^{18}[/tex]
c) The product of terameter and one nanometer is:
[tex]x = (1\,tm)\cdot (10^{12}\,\frac{m}{tm})\cdot (10^{9}\,\frac{nm}{m} ) \cdot (1\,nm)[/tex]
[tex]x = (10^{21}\,nm)\cdot (1\,nm)[/tex]
[tex]x = 10^{21}\,\mu m^{2}[/tex]
d) The quotient of one terameter and one nanometer is:
[tex]x = \frac{(1\,tm)\cdot (10^{12}\,\frac{m}{tm} )\cdot (10^{9}\,\frac{nm}{m} )}{1\,nm}[/tex]
[tex]x = \frac{10^{21}\,nm}{1\,nm}[/tex]
[tex]x = 10^{21}[/tex]
e) The quotient of one nanometer and one terameter is:
[tex]x = \frac{1\,nm}{(1\,tm)\cdot (10^{12}\,\frac{m}{tm} )\cdot (10^{9}\,\frac{nm}{m} )}[/tex]
[tex]x = \frac{1\,nm}{10^{21}\,nm}[/tex]
[tex]x = \frac{1}{10^{21}}[/tex]
f) The quotient of one nanometer and one micrometer is:
[tex]x = \frac{1\,nm}{(1\,\mu m)\cdot (10^{3}\,\frac{nm}{\mu m} )}[/tex]
[tex]x = \frac{1\,nm}{10^{3}\,nm}[/tex]
[tex]x = \frac{1}{10^{3}}[/tex]
g) The product of one nanometer and one micrometer is:
[tex]x = (1\,nm)\cdot (1\,\mu m)\cdot (10^{3}\,\frac{nm}{\mu m} )[/tex]
[tex]x = 10^{3}\,nm^{2}[/tex]
find the coordinates of C' after a reflection across the line
y = 1 and then x = 2. Write in the form (a,b)
Part 5a
==============================================================
Explanation:
C is at (0,0). Ignore the other points.
Reflecting over y = 1 lands the point on (0,2) because we move 1 unit up to arrive at the line of reflection, and then we keep going one more unit (same direction) to complete the full reflection transformation. I'll call this point P.
Then we reflect point P over the line x = 2 to arrive at the location Q = (4,2). Note how we moved 2 units to the right to get to the line of reflection, and then keep moving the same direction 2 more units, then we have applied the operation of "reflect over the line x = 2"
So we have started at C = (0,0), moved to P = (0,2) and then finally arrived at the destination Q = (4,2). This is the location of C' as well.
All of this is shown in the diagram below.
to change direction by making a to point turn you’ll need to use ___
a- your hazard lights
b- A four-way intersection
c-A parking lot
d- A driveway or alley on the right side of The Road
look at photo and answer please. thanks!
Answer:
Function 2.
Step-by-step explanation:
For the first equation, the y-intercept is the 'b' value in the equation
y = mx + b.
In the equation given, b = 5. This is the y-intercept for the equation.
To find the y-intercept, you need to look for the 'y' value at x = 0. Therefore:
In the table, notice that when t = 0, r = 5.25. This is the same as x = 0, y = 5.25. This means that the y-intercept of the table is y = 5.25.
Since 5.25 > 5, function 2 has a greater y intercept.
he following shows the height, in inches, of the players on the opening night roster of 2015-2016 New York Knicks.
84, 80, 87, 75, 77, 79, 80, 74, 76, 80, 80, 82, 82
1. What is the median?
2. What is the mean?Show your work.
3. What is the typical height of a Knicks basketball player? Explain.
Answer:
median = 80 inches
mean = 79.692 inches
typical height = 80 inches
Step-by-step explanation:
Given height
84, 80, 87, 75, 77, 79, 80, 74, 76, 80, 80, 82, 82
arranging the height in increasing order we have
74,75,76,77,79,80,80,80,80,82,82,84,87
no, of terms in the heights = 13
We know
that median for any data set is the middle number, if data is arranged in increasing order of their occurrence.
If the number of terms is odd, then median is (n+1)/2 th term
If the number of terms is even, then median is taken average of n/2 th term and( n/2 + 1)th term .
________________________________________
since here number of term is 13.
then median will be (13+1)/2 th term
i.e 7th term
as shown above seventh term is 80.
1. What is the median?
answer: Median is 80
_____________________________________
Mean is calculated average of all the terms
mean = sum of all the terms/ number of terms
mean = 74+75+76+77+79+80+80+80+80+82+82+84+87/13
= 1036/13 = 79.692
Thus, means is 79.692
2. What is the mean?
Answer: Mean is 79.692
3. What is the typical height of a Knicks basketball player? Explain
Answer: Typical height for basket ball player will the height which is the most commonly occurring height in the group.
The most commonly occurring data in the data set is also called mode.
Since, in this data group 80 inches occurring most number of times i.e 4 times.
Thus, typical height of group is 80 inches.
Which expression has a value of StartFraction 1 Over 36 EndFraction? (StartFraction 1 Over 108 EndFraction) cubed (StartFraction 1 Over 9 EndFraction) Superscript 4 (StartFraction 1 Over 6 EndFraction) squared (one-half) Superscript 5
Answer:
(1/6)^2
Step-by-step explanation:
We want to find the fraction that is equivalent to 1/36.
Let us look at each of them individually:
a. [tex](\frac{1}{108})^3 = \frac{1}{1259712}[/tex]
b. [tex](\frac{1}{9})^4 = \frac{1}{6561}[/tex]
c. [tex](\frac{1}{6})^2 = \frac{1}{36}[/tex]
d. [tex](\frac{1}{5})^2 = \frac{1}{25}[/tex]
Therefore, the correct answer is c.
Answer:
1/6 to the second power, which is the third option.
Step-by-step explanation:
I took the test.
The sample shows how many items 7 people checked out from a library (2,3,13,2,3,6,2) make a dot plot to show data. What is the range? What is the median?
Answer:
Range: 11
Median: 3
Step-by-step explanation:
2, 2, 2, 3, 3, 6, 13
Range: Highest value - Lowest value = final answer
Median: the middle number on the data set or the listed numbers.
Range: 13 - 2 = 11
Median: 3
PLEASE I MARK U THE BRAINIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Estimate the angle measure of the angle below
Answer:
20 degrees
I know that it is acute, meaning it is less than 90. It is also less than 45 degrees, and is in the middle of 45 to 0 degree interval, so I say it is 20 degrees.
Eight children plan to share 10 pounds of chocolate chips to make cookies.
How many pounds of chocolate chips will each child get?
Represent your answer as a fraction.
Answer:
10/8 pounds
Step-by-step explanation:
Answer:
5/4 or 1.25 pounds of choclate chips
Step-by-step explanation:
What is the area of this figure? Use 3.14 for pi.
A. 6.28 ft2
B. 18.28 ft2
C. 22.28 ft2
D. 28.56 ft2
Answer:
C. 22.28
Step-by-step explanation:
area of square is 4*4 =16
area of half of circle is
(Pi*r²)/2 = 3.14*4/2 = 6.28
16+6.28 = 22.28
Answer:
C. 22.28
Step-by-step explanation:
4 x 4 = 16 (Pi x r²)/2 = 3.14 x 4/2 = 6.28
16 + 6.28 = 22.28
Which expressions are equivalent to x+x+x+2
Choose 2 answers:
Answer: I don't know the options but from this situation it is 3x+2 or x=3/2
Step-by-step explanation:
You add all the x together and that's the first option second divide it so x us all by itself
How long would it take an investment to triple if it earns 1.5% interest, compounded monthly? Round your answer to the nearest hundredth.
Answer:
73.3 years
Step-by-step explanation:
Use the Compound Amount formula:
A = P(1 + r/n)^(n*t)
Here A = 3P, r = 0.015, n = 12, and so we have:
3 = (1 + 0.015/12)^(12*t). Find t (in years)
3 = (1.00125)^(12*t)
Take the log of both sides. We get:
log 3 = (12*t)(log 1.00125), or 0.47712 = (12*t)(5.425*10^(-4)
0.47712
Solving this for t, we get t = --------------------------- = 73.3 years
(12)(5.425*10^(-4))
help me!
solve for w
Answer:
w = 5 , w = -5
Step-by-step explanation:
w^2 = 25
Take the square root of each side
sqrt(w^2) = ± sqrt(25)
w = ±5
Answer:-5 or 5
Step-by-step explanation: square root both sides, 5x5=25 and -5x-5 could equal 25
what is the range of this function?
Answer:
the range of this function is c
it is on the right hand side
A box has the shape of a rectangular prism with height 28 cm. If the height is increased by 0.6 cm.
i have nothing to do so add my roblox acccount i might be inactive alot
user- dennisalvez1_alt
Answer:
The surface area of the box increase by 0.2P (the perimeter of the base multiplied by 0.2)
Step-by-step explanation:
we know that
The surface area of the rectangular prism is equal to where B is the area of the base P is the perimeter of the base h is the height of the prism If the height is increased by 0.2 then The surface area of the box increase by 0.2P (the perimeter of the base multiplied by 0.2)
Answer:
who even plays roblox anymore
Step-by-step explanation:
50 POINTS!! Use these four expressions to make a hypothesis about the closure property of integers under each operation. Select yes or no for each operation.
Answer:
+ closed
- closed
* closed
÷ not closed
Step-by-step explanation:
When you add integers, you will always get an integer so it is closed under addition
When you subtract integers, you will always get an integer so it is closed under subtraction
When you multiply integers, you will always get an integer so it is closed under multiplication
When you divide integers, you will not always get an integer so it is not closed under division
1/5 = .2 which is not an integer
Answer:
1. Yes
2. Yes
3. Yes
4. No
Step-by-step explanation:
The expression -8 + 5 shows the sum of two integers. This expression has a value of -3. Because -3 is also an integer, the set of integers appears to be closed under addition.
The expression 9 − (-11) shows the difference of two integers. This expression has a value of 20. Because 20 is also an integer, the set of integers appears to be closed under subtraction.
The expression 3 · (-4) shows the product of two integers. This expression has a value of -12. Because -12 is an integer, the set of integers appears to be closed under multiplication.
The expression, -1 ÷ 6, shows the quotient of two integers. This expression has a value -1/6, Because -1/6 is not an integer, the set of integers is not closed under division.
What is the solution to this system of linear equations
Answer:
the solution is (0,2) to the problem
Brainliest question please help me solve this problem plz
Answer:
V is inside the circle.
Step-by-step explanation:
We work out the radius of the circle which is the distance between K (0,0) and (6, -4).
Radius = √[(6 - 0)^2 + (-4 - 0)^2]
= √(16 + 36)
= √52.
Now find the distance of point V from K(0,0):
= √((√2-0)^2 + (-7-0)^2]
= √(2 + 49)
= √51.
This is less than the radius of the circle, so V lies inside it.
what is 5 over 4 equal -4 plus 1 over 4
Answer:
I think is -0.4375
Step-by-step explanation:
