Therefore, the probability that Scott chose books A and B is 1/28.
What is probability?Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, where 0 means that the event will not occur and 1 means that the event is certain to occur. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. Probability is used in many areas of mathematics, science, economics, and everyday life to help make predictions, decisions, and inferences.
Here,
The total number of ways Scott can choose 2 books out of 8 books is given by the combination formula:
C(8,2) = 8! / (2! * 6!) = 28
This means there are 28 possible pairs of books he could choose.
The probability that he chose books A and B is 1 out of 28 because there is only 1 way to choose books A and B out of the 28 possible pairs:
P(A and B) = 1/28
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HELP PLEASE~~~
ill give brainlyest
Answer:
the correct answer is 5 for the first one and 20 for the second one
Step-by-step explanation:
hope this helps
a room to be carpeted measures 16 feet in length and 12 feet in width the carpet costs 30 per square yard what is the total cost
A room area
Lenght × Width = 16 × 12
= 192 square feet
1 square yard = 9 square feet
so 1 square feet = 1/9 square yard
192 square feet = 192 × 1/9 square yard
= 64/3 square yard
Total cost
$30 × 64/3 = $640
The graph shows a point at (4,1) and a line segment with endpoint at (2,2) and (6,2) This line segment will be dilated with the point of dilation at (4, 1) and a scale factor of 2. What is the 2-coordinate of
one of the endpoints of the dilated segment?
Dilation involves changing the size of a figure
The endpoints of the image are (0,3) and (8,3)
How to determine the coordinates of the imageThe coordinates of the pre-image are give as:
(2,2) and (6,2)
The scale factor is given as:
k = 2
The center of dilation is given as:
(a,b) = (4,1)
The coordinates of the image are then calculated as:
(x,y) = (k(x -a) + a, k(y -b) + b)
For (2,2), we have:
[tex](x,y) \to (2(2 -4) + 4, 2(2 - 1) + 1)[/tex]
[tex](x,y) \to (0, 3)[/tex]
For (6,2), we have:
[tex](x,y) \to (2(6 -4) + 4, 2(2 - 1) + 1)[/tex]
[tex](x,y) \to (8, 3)[/tex]
Hence, the endpoints of the image are (0,3) and (8,3)
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For each value of u, determine whether it is a solution to - 7+5u < 33.
Answer:
All in order:
YES
NO
NO
YES
Step-by-step explanation:
-7 + 5(-6) < 33 YES
-7 + 5(8) < 33 NO
-7 + 5(9) < 33 NO
-7 + 5(-4) < 33 YES
Solve for p.
p−3.16.7=4.55
p=−9.47
p = 2.93
p = 9.13
p = 21.53
Answer: When you have two mutually exclusive events, to find the probability of one or another, you add the probabilities.
65+7=72
Final answer: B
Step-by-step explanation:
Answer:
2.93
Step-by-step explanation:
Charlie is having a miced fruit salad as a dessert he sort all the different pieces of fruits that he find finds in the salad and then shows these values on circle graph. Help me please urgently
Answer:
D. 1/4Step-by-step explanation:
Total pieces of salad in the circle:
7 + 6 + 3 + 2 + 6 = 24Orange pieces are 6 out of 24:
6/24 = 1/4Total pieces
6+2+6+3+724Orange fraction
6/241/4-
16. Convert 100 meters per hour to inches per
second. (1 meter = 3.3 feet, 1 ft = 12 in, 1
hour = 60 minutes, 1 minute = 60 seconds)
(1.1 inch per second)
Answer:
0.106
Step-by-step explanation:
100 meters= 382 feet (per hour)
60 minutes in an hour
60 seconds in a minute
382/60=6.34 inches per minute (rounded to nearest tenth)
1 minute = 6.34 inches
6.34 / 60 = 0.106 (rounded to nearest thousandth)
Fill in the blank with the correct term or number to complete the sentence : a fraction is written in simplest form when the GCF of the numerator and the denominator is
Answer:
A fraction is written in simplest form when the GCF of the numerator and the denominator is 1.
Step-by-step explanation:
if both still shared common factors you could keep reducing the fraction
When solving by substitution; you first must
A- get the numbers by themselves
B-decide if you are substitution
C-start solving the problem as you would an equation
B because thd mbajdidiidid
The Sugar Sweet Company is going to transport its sugar to market. It will cost $6500 to rent trucks plus $250 for each ton of sugar transported. The total cost, C (in dollars), for transporting n tons is given by the following.
c=6500+250n
1.If the total cost is $12,250, how many tons is the company transporting?
2.What is the total cost of transporting 14 tons?
Answer:
An equation that relates cost to the amount of sugar S C = 6500 + 250s the total cost is $1120 The total cost of transporting 19 tons of sugar at 250 each C = total cost C =6500 + 250(19) total cost = 6500 + 4750 = 11250
Step-by-step explanation:
In an experiment to learn whether Substance M can help restore memory, the brains of 20 rats were treated to damage their memories. First, the rats were trained to run a maze. After a day, 10 rats (determined at random) were given M and 7 of them succeeded in the maze. Only 2 of the 10 control rats were successful. The two-sample z test for "no difference" against "a significantly higher proportion of the M group succeeds"
a) should not be used because the Large Counts condition is violated.
b) gives z = 2.25, P < 0.02
c) gives z = 2.60, P < 0.005
d) should not be used because the Random condition is violated
e) gives z = 2.25, P < 0.04 but not < 0.02
The number of rats in the sample are less than 30, therefore, according
to the central limit theorem, cannot approximate the population.
Response:
a) Should not be used because the Large Counts Condition is violated
Which condition are necessary for the hypothesis test?The proportion of the rats given M that succeeded, [tex]\hat p_1[/tex] = 7 ÷ 10 = 0.7
The proportion of the control rats that succeeded, [tex]\hat p_2[/tex] = 2 ÷ 10 = 0.2
H₀: [tex]\hat p_1[/tex] = [tex]\hat p_2[/tex]
Hₐ: [tex]\hat p_1[/tex] > [tex]\hat p_2[/tex]
The z-test formula for the difference between two proportion is given as follows;
[tex]Z= \mathbf{\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p} \cdot (1-\hat{p})\left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}}[/tex]
Where;
[tex]\hat p = \dfrac{7 + 2}{10 + 10} = 0.45[/tex]
[tex]Z=\dfrac{0.7-0.2}{\sqrt{0.45\times (1-0.45) \times \left (\dfrac{1}{10}+\dfrac{1}{10} \right )}} \approx \mathbf{ 2.25}[/tex]
p = 1 - p(z < 2.25) = 1 - 0.9878 = 0.0122
However, the number of rats in the sample, n are less than 30
Therefore;
The sample is not large enough for the test compared to the population,
and for a normal approximation which gives;
a) Should not be used because the Large Counts Condition is violated
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Evaluate the expression below for x = 4 and y = 6: x2+ 2 (x+ y)
Answer:
The answer is 36
Step-by-step explanation:
Given;x² + 2(x + y)x = 4y = 6To Find;The value of x² + 2(x + y)Now, Evaluate
x² + 2(x + y)
(4)² + 2(4 + 6)
16 + 2(10)
16 + 20 = 36
Thus, The answer is 36
-TheUnknownScientist 72
Answer:
the answer is 36
hope it's helpful
Find the ratios for the trig functions below
sin A =
cos C =
Answer:
Sin A: 35/37
Cos C: 35/37
Step-by-step explanation:
Sin A: 35/37
Cos C: 35/37
Using acronym SohCahToa we know
Sin is Opposite/Hypotenuse
Cos is Adjacent/Hypotenuse
With each problem we mark by the letter given to create adjacent side.
I hope this helps!
Find the length of the rectangle given the area is x2-4x-45 ft2 and the width is x+5
[tex]\textit{area of a rectangle}\\\\ A=Lw~~ \begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ A=x^2-4x-45\\ w=x+5 \end{cases}\implies x^2-4x-45=L(x+5) \\\\\\ \cfrac{x^2-4x-45}{x+5}=L\implies \cfrac{(x-9)~~\begin{matrix} (x+5) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{~~\begin{matrix}x+5 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }=L\implies x-9=L[/tex]
Two more than eleven times a number is equal to 24. What is the number?
Group of answer choices
2
4
6
9
Isaac and Juanita are collectin apples to make an apple pie. Isaac picks up 3 apples every minute and Juanita picks up 5 apples every two minutes. If they need 40 apples for a pie, about how long will it take both of them to collect enough apples?
Answer:
it will take Isaac 13.3... mins and 9 mins for Juanita
Step-by-step explanation:
I think
Answer:
7.3 minutes
Step-by-step explanation:
Isaac: 3 apples/minute
Juanita: 5 apples / 2 minutes = 2.5 apples/minute
Together: 5.5 apples/minute
40 apples / (5.5 apples/minutes) = 7.3 minutes
In Exercises 25–28, the red figure is the image of the
blue figure after a dilation with center C. Find the
scale factor of the dilation. Then find the value of
the variable.
Dilation involves changing the size of a shape
The scale factor is 2, and the value of the variable is 6
How to determine the scale factorFrom the figure, the scale factor is the quotient of the red figure and the blue figure.
So, we have:
[tex]k = \frac{28}{14}[/tex]
Divide
[tex]k = 2[/tex]
The value of the variable (n) is then calculated as:
[tex]n * k = 12[/tex]
This gives
[tex]n * 2 = 12[/tex]
Divide both sides by 2
[tex]n = 6[/tex]
Hence, the scale factor is 2, and the value of the variable is 6
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What is the factored form of 125x6 – 8? (5x2 – 2)(25x4 – 10x2 – 4) (5x2 – 2)(25x4 – 10x2 4) (5x2 – 2)(25x4 10x2 4) (5x2 – 2)(25x4 10x2 – 4).
Factor when divides the function the remainder is zero. The factorized form of the function f(x)=125x⁶-8 is (5x²-2)(25x⁴ + 10x²+4).
What is a factor?A factor of a function is a factor which when multiplied by another the result is the function itself.
We know that in order to factorize a function, we need to take the common terms out from the expression,
[tex]f(x)=125x^6-8[/tex]
The given function can be written as,
[tex]f(x)=125x^6-8\\\\f(x)=5^3x^6-2^3\\\\f(x)=(5x^2)^3-2^3[/tex]
Now, we will use the algebraic property to solve the function.
[tex]f(x)=(5x^2)^3-2^3\\\\f(x)=(5x^2-2)(25x^4+10x^2+2^2)\\\\f(x)=(5x^2-2)(25x^4+10x^2+4)[/tex]
Hence, the factorized form of the function f(x)=125x⁶-8 is (5x²-2)(25x⁴ + 10x²+4).
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Answer:
C
Step-by-step explanation:
REALLY EASY POINTS
-
What are the values of a positive attitude?
Answer:
Self-confidence: When you develop a positive attitude, you will start feeling better about yourself. You will treat yourself with more respect and love, and this in turn will boost your confidence levels and inner strength. You will take on new challenges and come out of your self-limiting beliefs
Just a bit more.. I need it at around 70, it’s at 60 right now.
Answer:
( -5, 4 )
Step-by-step explanation:
(y = x + 9) 2
y = -2x - 6
2y= 2x + 18
y = -2x - 6
3y = 12
y = 4
4 = x + 9
-9 - 9
-5 = x
plz help help plz plz plz plz
Answer:a=70
c=110
b=110
Step-by-step explanation:
The solution is in the attached file filatache
Answer:
A = 70
B = 110
C = 110
Step-by-step explanation:
A is opposite of the 70 degree angle, and vertical angles are equal, so it is also 70 degrees.
A straight line is 180 degrees, so 70 + B = 180, making B = 110 degrees.
Both of these rules apply for C, making it also 110 degrees.
It’s kinda new to me
Step-by-step explanation:
B) False
7:5 is reciprocal of 5:7
A triangle has an area of 13.5 square miles and a height of 4.5 miles. What is the length
of the base?
Answer:
6 miles
Step-by-step explanation:
Area is :
[tex]A = \frac{1}{2} hb[/tex] OR [tex]A = \frac{hb}{2}[/tex]
So base is :
[tex]b = 2 \frac{A}{h}[/tex]
Substituting values given:
b = 2 × (13.5÷4.5)
b = 2×3
b=6
Answer:
the length of the base= 6miles
Step-by-step explanation:
Area of triangle =1/2 *Base*Hight
Now we sub the values in the formula:
13.5 = 1/2 * (length of the base) * 4.5
length of the base = (2 * 13.5)/4.5
length of the base = 6 miles
Need number 5 really badly
a = b
b = 180° - 130° = 50°
so a = 50°
2
math
pls help geniuses!!
———
Answer:
( -2, 9 )
= C
Step-by-step explanation:
Answer pls! No spam!
Answer:
Check the attachment.
what is the name of a chord that subtends two angles?
Answer:
The angle made by the line segments from the chord's endpoints to the centre or at any point on the circle, then the angle formed is called the angle subtended by the chord at a point
Step-by-step explanation:
Answer:
Step-by-step explanation:
I believe you mean the angle subtended by two chords. The angle is called an inscribed angle
help pls math question
Step-by-step explanation:
Florence Nightingale OM RRC DStJ was an English social reformer, statistician and the founder of modern nursing. Nightingale came to prominence while serving as a manager and trainer of nurses during the Crimean War, in which she organised care for wounded soldiers at Constantinople.
Brainliest for correct answer !!
Find h^-1 (x)
Answer:
[tex]\frac{3x + 1}{5}[/tex]
Step-by-step explanation:
y = [tex]\frac{5x-1}{3}[/tex]
make x the subject
3y = 5x - 1
3y + 1 = 5x
[tex]\frac{3y + 1}{5}[/tex] = x
now switch x with y
so,
[tex]\frac{3x + 1}{5}[/tex] (ans)
Two similar triangles have a pair of corresponding sides of length 12 meters and 8 meters.
The larger triangle has a perimeter of 48 meters and an area of 180 square meters. Find the
perimeter and area of the smaller triangle.
Answer:
32 m, 80 m^2
Step-by-step explanation:
Ratio of their sides = 12 : 8 = 3 : 2
Ratio of their perimeter = 3 : 2
so 48 : perimeter of smaller triangle = 3 : 2
Perimeter of smaller triangle = 48 * 2 / 3 = 32 m
Ratio of their areas = 3^2 : 2^2 = 9 : 4
so 180 : area of smaller triangle = 9 : 4
Area of smaller triangle = 180 * 4 / 9 = 80 m^2