Answer: 1/10
Step-by-step explanation: These two events are independent, meaning the outcome of the first event doesn't affect the outcome of the second.
To find the probability of independent events, first, find the
probability of each event, then multiplies the probabilities.
The probability of spinning an A on the first spinner is 1/5
since there is 1 favorable outcome and 5 total outcomes.
The probability of spinning an odd number on the second spinner
is 3/6 which simplifies to 1/2 since there are 3 favorable outcomes,
spinning a 1, 3, or another 3 since these are odd numbers.
So now we have 1/5 × 1/2 and when multiplying fractions,
we multiply across the numerators and denominators to get 1/10.
So the probability of spinning an A, then an odd number is 1/10.
plz answer my question:-
if U= {0,1,2,3,4..................20}, A= {1,3,5,7,9,11,13,15,17,19} B= {0,2,4,6,8,10,12,14,16,18} then prove that A-B = A∩B
Answer:
Step-by-step explanation:
A = {1, 3 , 5 , 7, 9 , 11 , 13 , 15 , 17 , 19}
B= { 0, 2 , 4 , 6 , 8 , 10, 12, 14, 16, 18 }
A - B means everything in A and not in B
A - B = { 1, 3 , 5 , 7 , 9 , 11 , 13, 15, 17 , 19 }
A ∩ B means elements common in A and B
A ∩ B = ∅
A - B ≠ A ∩ B
Unit 1 Review
tatus
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A total of 937 people attended the play.
Admission was $2.00 for adults and $0.75
for students. The total ticket sales
amounted to $1,109. How many students
and adults attended the school play?
First complete the equations below, where A
stands for Adults and S stands for Students.
Answer:
403
Step-by-step explanation:
divide 2.75 and 1,1109 and you will get your answer
Josh is trying to factor the expression
- 20a - 8 + 12b. He writes
-4 (5a + 2 + 3b)
a. What error did Josh likely make?
b. Factor the expression correctly.
Answer:
a) Josh likely made the negative and positive multiplication error.
b) -20a-8+12b
= -4(5a+2-3b)
Step-by-step explanation:
To check if you are correct, you can always simplify it again:
-4(5a+2-3b)
=-20a-8+12b
Remember:
Negative times negative equals to positive, negative times positive equals to negative!
I hope this is helpful! :)
Solve the following question. *
Answer:
The mean of x and y is equal to t.
Step-by-step explanation:
Given that,
The mean of t and t+2 is x.
The mean of t and t-2 is y.
i.e.
[tex]x=\dfrac{t+t+2}{2}\\\\x=(t+1)[/tex]
and
[tex]y=\dfrac{t+t-2}{2}\\\\x=(t-1)[/tex]
The mean of x and y is :
[tex]M=\dfrac{x+y}{2}\\\\M=\dfrac{(t+1)+(t-1)}{2}\\\\M=\dfrac{2t}{2}\\\\M=t[/tex]
Hence, the mean of x and y is equal to t.
Drag the tiles to the correct boxes to complete the pair.
Match the pairs of values of f(x) and g(x) with the corresponding values of h(x) if h(x)= f(x)/g(x).
f(x) = x2 - 9, and g(x) = x - 3
f(x) = x2 - 4x + 3, and g(x)= x - 3
f(x) = x2 + 4x - 5, and g(x) = x - 1
f(x) = x2 - 16, and g(x) = x - 4
1.h(x) = x + 5—>
2.h(x) = x + 3—>
3.h(x) = x+4—>
4.h(x) = x-1—>
Answer:
1. h(x) = x + 5—> f(x) = x² + 4x - 5, and g(x) = x - 1
2. h(x) = x + 3 —> f(x) = x² - 9, and g(x) = x - 3
3. h(x) = x + 4—> f(x) = x² - 16, and g(x) = x - 4
4.h(x) = x - 1—> f(x) = x² - 4x + 3, and g(x)= x - 3
Step-by-step explanation:
A) f(x) = x² - 9, and g(x) = x - 3
We are told that; h(x) = f(x)/g(x)
f(x) = x² - 9 can be factorized to;
f(x) = (x + 3)(x - 3)
Thus; h(x) = (x + 3)(x - 3)/(x - 3)
(x - 3) will cancel out to give;
h(x) = x + 3
B) f(x) = x² - 4x + 3, and g(x)= x - 3
x² - 4x + 3 can be factorized as;
(x - 1)(x - 3)
Thus; f(x) = (x - 1)(x - 3)
h(x) = (x - 1)(x - 3)/(x - 3)
h(x) = x - 1
C) f(x) = x² + 4x - 5, and g(x) = x - 1
x² + 4x - 5 can be factorized as;
(x - 1)(x + 5)
Thus; f(x) = (x - 1)(x + 5)
h(x) = (x - 1)(x + 5)/(x - 1)
h(x) = x + 5
D) f(x) = x² - 16, and g(x) = x - 4
x² - 16 can be expressed as;
(x + 4)(x - 4)
Thus; f(x) = (x + 4)(x - 4)
h(x) = (x + 4)(x - 4)/(x - 4)
h(x) = x + 4
Simplify the expression ( a^3/2)^3
Answer:
(a^9/8)
Step-by-step explanation:
(a/b)^n = (a^n/b^n)
What is the y-intercept for y = 5x^2 + 2x -2?
Answer: (0, -2) or -2
Step-by-step explanation:
Sub in 0 for x since at the y intercept x is 0
[tex]y=5(0)^2+2(0)-2\\y=5(0)+0-2\\y=0+0-2\\y=-2[/tex]
Which of the following has the largest y-intercept?
Answer:
I would say 2 because if you go by absolute value it is the largest.
it cash price of a laptop $1 299 it can be bought on hire purchase
Answer:
explain more but if you meant the price of the can raise it indeed can due to the pieces in it and brand.
Step-by-step explanation:
Simplify (2 − + 1) + 5 and find its value for a = -2.
Answer:
Part A
a·(a² - a + 1) + 5·a = a³ - a² + 6·a
Part B
The value of a·(a² - a + 1) + 5·a, for a = -2 is -24
Step-by-step explanation:
Part A
The given function is a·(a² - a + 1) + 5·a
The function is simplified by expanding the product of sums into sums of products, as follows;
a·(a² - a + 1) + 5·a = a × a² - a × a + a × 1 + 5·a = a³ - a² + a + 5·a = a³ - a² + 6·a
The function, a·(a² - a + 1) + 5·a, in simplified format is therefore;
a·(a² - a + 1) + 5·a = a³ - a² + 6·a
Part B
When a = -2, we get;
(a³ - a² + 6·a)[tex]_{a = 2}[/tex] = (-2)³ - (-2)² + 6·(-2) = -8 - 4 - 12 = -24
Which of the values is the best estimate of the correlation coefficient for the line of best fit shown in the scatter plot?
0.9
0.4
-0.4
0.9
The correlation coefficient that would best describe the line of best fit shown in the scatter plot is 0.9 which is a weak positive correlation.
What is correlation?The statistical concept of correlation describes how closely two variables move in tandem with one another.
We can see that Slope is not near to horizontal, thus Correlation Coefficient will be greater than 0.5
Since the value of X axis is get increased, then the value of Y axis is also increasing.
According to the graph is scattered in such a way that, if we draw a line from the centre, we can observe that as 'x' increases 'y' also increases, then the relation is positive correlation.
Therefore, the given scatter plot shows positive weak correlation with value 0.9 .
To know more about statistics, here
brainly.com/question/23724696
#SPJ2
Solve for x in the equation
Answer:
x = -1 ± √17
Step-by-step explanation:
x² + 2x + 1 = 17
Subtract 1 form both sides
x² + 2x = 16
complete the square using half the x coefficent, 1) as the complete the square term
(x + 1)² = 16 + 1²
(x + 1)² = 17
Take the square root of both sides
x + 1 = ±√17
Subtract 1 from bot sides
x = -1 ± √17
Answer:
correct one is second option
Step-by-step explanation:
do by applying quadratic formula
Last month, Claire's bank statement said that she overdrew her account. Her bank balance was -45.32−45.32minus, 45, point, 32 euros.
The question is incomplete and the full version can be found online.
Answer: Janeth has 17.92 dollars in her account.
Step-by-step explanation:
The question states that, after having been told that she overdrew her account the previous month, Claire´s new bank balance is 17.92 dollars. Having said that, the question is what does that new amount means, and the options given are that she overdrew her account by 17.92 dollars, or that she has 17.92 dollars in her account.
The answer couldn´t be that Claire overdrew her account again, by 17.92 dollars this time, because if that was the case, her new balance would be the addition of the previous -45.32 dollars plus the new -17.92 dollars:
-45.32-17.92=-63.24
This means that the new amount would be -63.24. Since the number is positive, it represents the money she has in the account: 17.92 dollars
Answer; la risposta è b!
the anwser is b!
Step-by-step explanation:
Help please I need this done
Step-by-step explanation:
the answer is in the above image
Answer:
61°
Step-by-step explanation:
(x+18)°=(4x-15)°alternate angles, because BC is parallel to AD
x°+18°=4x°-15°
18°+15°=4x°-x°
33°=3x°
33°/3°=3x°/3°
11=x
angle ABD
90°-(x+18)°. the sides of a rectangle meet at 90°
90°-(11+18)°
90°-(29)°
90°-29°
61°
If a probability distribution is
1 /10, 1/5, 1/2what is the value of x?
A.3/10
B. 1/10
C.1/5
D.3/5
What is the circumference of the circle? Use 3.14 for Pi. A circle with radius 6.4 centimeters. 20.096 cm 40.192 cm 200.96 cm 401.92 cm
Answer: 40.192 cm
Step-by-step explanation:
the formula for circumference is [tex]2\pi r[/tex]
In this case we are using 3.14 for pi and the radius is 6.4
[tex](2)(3.14)(6.4)\\(6.28)(6.4)\\40.192[/tex]
Answer:
B. 40.192 cm
Step-by-step explanation:
Edge 2021
Which linear inequality represents the graph below?
A. x 2² x + 1
B. y2-}x+1
C. >*x+1
D. -*x+1
Given:
The graph of an inequality.
To find:
The inequality.
Solution:
In the given graph, the boundary line passes through the points (-3,3) and (0,1).
So, the equation of the boundary line is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-3=\dfrac{1-3}{0-(-3)}(x-(-3))[/tex]
[tex]y-3=\dfrac{-2}{3}(x+3)[/tex]
[tex]y-3=-\dfrac{2}{3}(x)-\dfrac{2}{3}(3)[/tex]
Adding 3 on both sides, we get
[tex]y=-\dfrac{2}{3}(x)-2+3[/tex]
[tex]y=-\dfrac{2}{3}(x)+1[/tex]
The boundary line is a solid line and the shaded region is above the boundary line. So, the sign of inequality must be [tex]\geq[/tex] and the required inequality is:
[tex]y\geq -\dfrac{2}{3}(x)+1[/tex]
Therefore, the correct option is B.
I will give BRAINLIEST to the correct answer
Find the measure of angle 3
Answer:
2X+100 =8X+208
8X-2X=100-208
6X=-108
X=-18
8X+208=(8×-18)+208
=-144+208
=64
ANGLE 3=180-64
=116
Answer: The measurement of angle #3 on the photo you provided it would be a 300 Degree angle if that is what you're asking
Step-by-step explanation: If you're asking what measure of an angle #3 is the correct measurement is 300 Degrees
can someone help me here
Answer:
1.
Step-by-step explanation:
1. sin 241 = sin(61 + π) = -sin61 = -t^(1/2)
2. sin^2 + cos^2 =1, cos 61= (1-t)^(1/2)
3. [2sin^2 (x)sin(x) +2cos^2 (x)sin(x)]/2cos(x) = 2sin(x) / 2cos(x) = tan(x)
4. tan (x), x do not equal to (π/2 +or- kπ)
x do not equal to 90,270。
Find the vertex of the given function y=x^2+6x+8.
A.(4,2)
B.(-4,-2)
C.(-3,1)
D.(-3,-1)
Answer:
Option D is correct
Step-by-step explanation:
Hope it is helpful...
Please solve all with explanation
Answer:
Step-by-step explanation:
4.coordinate points are:
(-2,3)=(x1 , y1)
(1,y)=(x2 , y2)
slope =y2-y1/x2-x1
2=y-3/1-(-2)
2=y-3/1+2
2=y-3/3
do cross multiplication
2*3=y-3
6+3=y
9=y
3 no.
3(1-x)=-2(x-1)
3-3x=-2x+2
3-2=-2x+3x
1=x
4+y/3=2
4+y=3*2
4+y=6
y=6-4
y=2
Can someone help me i keep getting different answer!!
Answer:
The second option: 3 (6 - 5n)/20n
Step-by-step explanation:
Make sure all fractions have a common denominator:
Step 1. Find a common multiple between all three denominators
5, 4, and 10 all have a common multiple of 20. Proof: 5 × 4 = 20, 4 × 5 = 20, and 10 × 2 = 20
Step 2. Multiply the denominators to get to 20. Whatever you do to the bottom (denominator) must be done to the top (numerator).
1/5n × 4/4 = 4/20n
3/4 × 5n/5n = 15n/20n
7/10n × 2/2 = 14/20n
Your fractions now all have a common denominator of 20n.
Rewrite the equation using the new fractions:
4/20n - 15n/20n + 14/20n
Only focus on adding/subtracting the numerators; the denominators will stay the same: 20n.
(4 - 15n + 14)/20n
Combine like terms:
(18 - 15n)/20n
Factor out any numbers possible:
3(6 - 5n)/20n
Note* 3 go into both 18 and 15, which allows us to factor 3 out. 18 ÷ 3 = 6 and 15 ÷ 3 = 5, giving us our new numbers inside the parentheses.
1/4x1/2x1/3
help pls hurry
1/4x1/2x1/3=1/ (4×2×3)
=1/24
Answer: 1/24
Use the geometric mean (altitude) theorem. What is the value of m? 4 2 StartRoot 7 EndRoot 4 StartRoot 10 EndRoot 160
Answer:
Option C: 4√10
Step-by-step explanation:
From the geometric mean theorem, when we have this type of rectangle with a height of say "x" and left and right distances to this height as "a" and "b" respectively, then the theorem says that;
x/a = b/x
Applying it to this question;
Altitude is "m"
Left side measurement is 8
Right side measurement is 20
Thus;
m/8 = 20/m
Cross multiply to get;
m² = 160
m = √160
m = √(16 × 10)
m = 4√10
Answer:
C
Step-by-step explanation:
C
Find the length of the third side. If necessary, write in simplest radical form
Answer:
[tex] \sqrt{19} [/tex]
Step-by-step explanation:
Pythagoras
c² = a² + b²
with c being the Hypotenuse (= the side opposite of the 90 degree angle).
=>
10² = 9² + b²
100 = 81 + b²
19 = b²
b = sqrt(19) (≈ 4.36)
2. Length of a rectangular park is 11 m and breadth is 5m. Find the area of the
park. If of the park is covered with plants and grass, find the remaining area.
Answer:
11x5=55metres squared
Step-by-step explanation:
A student runs 100 meters in 11 seconds. What is the speed of the student?
speed = distance over time ; 1 mile = 1609 meters
Answer:
9.09 meters per second
Step-by-step explanation:
100 divided by 11= 9.09 meters per second.
Mrs .Thomas has $71.00 to purchase bottles of juice for her class. If the bottles of juice cost $3.55 each ,how many bottles can she buy?
Step-by-step explanation:
hear is your answer with calculation
Which expression is equivalent to n+n+n+n
PLS ANSWER ASAP DUE AT 9:15
Answer:
B
Step-by-step explanation:
4n = n + n + n + n
Answer:
4n
Step-by-step explanation:
n+n+n+n
since all bases are same ( can also be said as they are like terms) u can add them.
=4n
4. Is y = 6 a linear equation? Explain.
Step-by-step explanation:
yea!!!!
The equation y = x is linear and m = 1 and b = 0. The equation y = 6 is linear with m = 0 and b = 6 (it is graphically represented by a horizontal line).