There are 7 males and 8 females out of which we 1 male and 1 female is to be selected.
Number of ways to select 1 male from 7 are [tex]^7C_1[/tex].
Number of ways to select 1 female from 8 are [tex]^8C_1[/tex].
So, number of ways to select 1 male and 2 female is :
[tex]n = ^7C_1 \times ^8C_1\\\\n = 56[/tex]
Therefore, total number of ways are 56.
Hence, this is the required solution.
In Exercises 1-3, graph AABC and its image after a reflection in the given line.
1. A(0, 2), B(1, -3), C(2, 4); x-axis
1.
2. A(-2,-4), B(6,2), C(3. – 5); y-axis
3. A(4, -1), B(3, 8), C(-1, 1); y = -2
Answer:
1. Point A: (0, 2)
Point B: (-1, -3)
Point C: (-2, 4)
2. Point A: (-2, 4)
Point B: (6, -2)
Point C: (3, 5)
3. Point A: (4, -3)
Point B: (3, -12)
Point C: (-1, -5)
Step-by-step explanation:
1.
Reflection of point A:
Reflections over the x-axis are really easy. All you have to do is change the x-coordinate to the opposite sign.
In this case, 0 does not need to change since it already lies on the x-axis.
The coordinate for A will stay the same as (0, 2).
Reflection of point B:
Again, change the x-coordinate to negative.
1 → -1
The coordinate for B will now be (-1, -3).
Reflection of point C:
2 → -2
The coordinate for C will now be (-2, -4).
2.
Reflection of point A:
Reflections over the y-axis are also really easy. This time, all you have to do is change the y-coordinate to the opposite sign.
In this case, -4 would change to just 4.
The coordinate for A will stay the same as (2, 4).
Reflection of point B:
Again, change the y-coordinate to negative.
2 → -2
The coordinate for B will now be (6, -2).
Reflection of point C:
-5 → 5
The coordinate for C will now be (-1, 5).
3.
This is going to be a bit harder than the previous two, but I know you can handle it. :)
Reflection of point A:
The x will stay the same and only the y will change.
Take the y-coordinate and subtract it from the reflection line while getting the absolute value..
|(-1) - (-2)| = |1| = 1
This means, point A is one unit down the line y = -2
(-2) - 1 = -3
The coordinate for A will now be (4, -3).
Reflection of point B:
Again, the x will stay the same and only the y will change.
Using the absolute value, get the y-coordinate and subtract it from the reflection line again..
|(8) - (-2)| = |10| = 10
This means, point A is five unit down the line y = -2
(-2) - 10 = -17
The coordinate for B will now be (3, -12).
Reflection of point C:
I think you get the gist of it.
|(1) - (-2)| = |3| = 3
(-2) - 3 = -5
The coordinate for C will now be (-1, -5).
The red triangle is the original image and the blue triangle is the image after the reflection. The purple line is the reflection line.
Hope this helped!
The graph of Exercises 1-3 that shows AABC and its image after a reflection in the given line can be done using the example from the graph attached.
What is reflection about?A reflection over line is known to be a kind of transformation where each point of the main or original figure (that is the pre-image) is said to be made up of an image that has similar distance from the reflection line.
Note that In a reflection, the image is said to be of similar size and also of the same shape as the original image.
Therefore to be able to construct the graph of Exercises 1-3, one can use the image example by tracing the number values such as A(0, 2), B(1, -3), C(2, 4); x-axis, A(-2,-4), B(6,2), C(3. – 5); y-axis and A(4, -1), B(3, 8), C(-1, 1); y = -2 on the graph and linking them up together to form an angle.
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a line through (2.4) with slope 0
Answer:
y= 4
Step-by-step explanation:
y-b=m(x-a)
y-4=0(x-2)
y-4=0
y=4
Find the area of the Compound shape
The answer is 45 m^2
I just need the steps....
Answer:
45 cm^2
Step-by-step explanation:
Dividing the shape into the two separate components of a square and a triangle makes it easier.
The square area is found by multiplying the side by the side, 6cm*6cm which gives us 36cm^2.
Then the triangle the height is 3cm and the base is 6cm. Using the formula 1/2*base*height.
Which would be 1/2*6*3=9cm^2.
Adding the two, 9+36= 45cm^2.
Richard and Teo have a combined age of 36. Richard is 12 years older than twice Teo's age. How old are Richard and Teo?
Answer:
teo is 8 and richard is 28
Step-by-step explanation:
Reggie is deciding when to go bowling with his friends. Friday night is glow-bowling night, with 5 glow-bowling games for $22.50. But the early-bird special on Saturday morning offers 8 games for $30. How much more does glow-bowling cost per game?
TELL ME HOW U DO IT !
I WANT A WHOLE NUMBER OR A DEMSEL..
PLEASE AND THANK U !
Answer:
$ 0.75 per game
Step-by-step explanation:
Answer:
MAKE BRAINLIEST:
$0.75
Step-by-step explanation:
Please answer all of these
the zoo has 30 animals all of them are lions or monkeys. There is a ratio of 3 lions to 7 monkeys. How many monkeys are there?
Answer:
21 monkeys
Work:
The ratio is 3:7 so 3*3=9 lions 7*3=21 monkeys
9+21=30
Are the expressions equivalent?
A. 7.4(12,5 – 8,4)=37, 4x4; 1
B. 596 +6=? 25+ 30c
C. 3(36-2=286-5
Evaluate the expression for x = 3, y=13, and z = 5.
12x−3y/4x−z
plz help
Hiya! The answer is 5.
I hope I was of assistance! #SpreadTheLove <3
which equation shows a proportional relationship A. y = 1/2x-1/2 b. y= 2x-2 c. y = 1/2 x d. y = 2/x
Answer:
c
Step-by-step explanation:
solve 7(x-3)+x+22=17 for x.
Answer:
x=-13/4
Step-by-step explanation:
hope this helps :)
Answer:
x = 1
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
(x-3)+x+22-(17)=0
Step by step solution :
STEP 1:
Pulling out like terms
1.1 Pull out like factors :
2x + 2 = 2 • (x + 1)
Equation at the end of step 1:
STEP 2:
Equations which are never true:
2.1 Solve : 2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
2.2 Solve : x+1 = 0
Subtract 1 from both sides of the equation :
x = 1
One Solution Was Made :
x = 1
HOPE THIS HELPS!
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ANSWER PLEASE 15 pts.
A box of $100 sanitizing wipes costs $12 . How much does one wipe cost?
Answer:
One wipe is worth $[tex]8.33[/tex].
Step-by-step explanation:
[tex]100[/tex] divided by [tex]12 = 8.33[/tex]
Answer:
8.33
Step-by-step explanation:
See the picture below please help me and thank you.
Answer: -1.13
Step-by-step explanation:
Please help me with math.
Answer:
Step-by-step explanation:
1. Zero point six.
2. In 0.6 the 6 is in tenths place, so place 6 over 10 to create the equivalent fraction 6/10, and 0.60 is 60/100.
3. We can use the same diagram to represent 0.6 and 0.60 because they are equivalent, 0.6 is 60 percent cause the 6 is in the tenths place, 0.60 is also 60 percenr take the zero away and keep the decimal point which is .60 the 6 is still in tenths place.
if p =(3
) and q=(-1 -3) find such that p-
q + 2r =(8 11)
Answer:
i RLLY DON"T KNOW
Step-by-step explanation:
The POTW clubhouse needs to replace their front steps. A suggestion for the
steps is shown below. The steps are of equal depth and equal height. The steps
are 120 cm high, 120 cm from front to back and 100 cm wide
The stairs are to be painted gold and the two sides are to be painted black. One
of the two sides that is to be painted black is shaded in the diagram. The back
and bottom of the structure will not be seen and will not be painted.
Determine the total area to be painted gold and the total area to be painted
black
Answer:
What is the POTW clubhouse.
120x120x100= your answer.
the answer is 1,440,000. hope I helped
Answer:
120x120x100= your answer.
the answer is 1,440,000
Step-by-step explanation:
Clinton had his sister sell some of their toys at a garage sale. Clinton makes $12.94 at the sale, and his sister makes $20.18.How much less did Clinton make at the garage sale than his sister
Answer:
$7.24
Step-by-step explanation:
it just is
4 pts
Question 1
(04.01 MC)
The supervisor at an office randomly selected 45 employees and observed their work habits. She recorded the
number of items sold as well as the total time the employees spent at their desk. Classify the random variables
from the survey. (4 points)
Number of items sold, discrete; time spent at desk, discrete
Number of items sold, continuous; time spent at desk, continuous
Number of items sold, continuous; time spent at desk, discrete
Number of items sold, discrete; time spent at desk, continuous
O Unable to determine from information given
Answer:
Number of items sold, discrete; time spent at desk, continuous
Step-by-step explanation:
The random variables from the survey is number of items sold, discrete; time spent at desk, continuous
What is random selection ?A selection that is chosen randomly (purely by chance, with no predictability). Every member of the population being studied should have an equal chance of being selected.
According to the question
The supervisor at an office randomly selected 45 employees and observed their work habits.
She recorded
i > number of items sold
ii > total time the employees spent at their desk
As per observation
Number of items sold = discrete
as it is not possible to sell items in a continuous manner
But
time spent at desk = continuous
as every employee spend time at there desk
Hence, the random variables from the survey is number of items sold, discrete; time spent at desk, continuous
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When Hana goes to the mall, she always buys the same lunch and also buys some books. The table shows the number of books she buys, x, and the total amount of money she spends, y.
x 1 2 3 4 5
y 17 21 23 26 34
If this data were displayed in a scatter plot, select ALL statements that would be true about a good trend line summarizing the data.
Group of answer choices
The slope approximates the cost of Hana's lunch.
The y-intercept approximates the average cost of one book.
The y-intercept approximates the cost of Hana's lunch.
The slope approximates the average cost of one book.
The trend line goes through the origin.
Scatter plots are used to represent data of dual numerical values.
The true statements about the scatter plot of Hana's purchase are:
The slope approximates the average cost of one book. The y-intercept approximates the cost of Hana's lunch.I've added as an attachment, the scatter plot that represents Hana's purchase.
From the attached plot, we have the following observations
The x-axis represents the number of booksThe y-axis represents the amount spentBecause the x-values represents the number of books, the slope of the graph would represent the cost of a book.
The amount spent on a meal is constant;
This amount can be gotten when the number of books is 0;
In other words, the y-intercept represents the cost of Hana's meal.
Hence, the true statements are: (c) and (d)
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Hello I need help
Find the missing side lengths, leave your answers as radicals in simplest form
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]y = \frac{1}{2} \times \frac{8 \sqrt{3} }{3} \\ [/tex]
[tex]y = \frac{4 \sqrt{3} }{3} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]x = \frac{ \sqrt{3} }{2} \times \frac{8 \sqrt{3} }{3} \\ [/tex]
[tex]x = \frac{8 \times { \sqrt{3} }^{2} }{2 \times 3} \\ [/tex]
[tex]x = \frac{8 \times 3}{2 \times 3} \\ [/tex]
[tex]x = \frac{8}{2} \\ [/tex]
[tex]x = 4[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
It cost 21 dollars to sent 3 packages. how much does it cost to send 1 package?
Answer:
7
Step-by-step explanation:
21/3=7
Answer:
7 dollars/$7
Step-by-step explanation:
21 divided by 3 = 7
$7 to send 1 package.
mary-ann has $28 which is 2 1/3 as much money as lola has how many money does lola have?
Answer:
$12
Step-by-step explanation:
.......12...........
The sequence below follows the Fibonacci rule.
Calculate the next term.
8, 13, 21, 34, 55 *
Answer:
89
Step-by-step explanation:
8, 13,
8+13= 21
13+21 =34
21+34=55
34+55=89
So answer this ok WHO HATES JIJI on ST MATH
Answer:
me
Step-by-step explanation:
Answer:
st math
Step-by-step explanation:
If 4.6 plus 1.9 times a number equals the sum of the number and 94.6, what is the number? Express your answer as a simplified fraction or a decimal rounded to two places.
Answer:
The number is:
x=99.67Step-by-step explanation:
Let 'x' be the number
4.6 plus 1.9 times a number 'x' = 4.6 + 1.9xSum of number 'x' and 94.6 = x+94.6Given that 4.6 plus 1.9 times a number equals the sum of the number and 94.6.
so the equation becomes
[tex]4.9+1.9x=x+94.6[/tex]
[tex]1.9x-x=94.6-4.9[/tex]
[tex]0.9x=89.7[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}10[/tex]
[tex]0.9x\cdot \:10=89.7\cdot \:10[/tex]
[tex]9x=897[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}9[/tex]
[tex]\frac{9x}{9}=\frac{897}{9}[/tex]
[tex]x=\frac{299}{3}[/tex]
[tex]x=99.67[/tex]
Therefore, the number is:
x=99.67The sum of three numbers is 110. The third number is 4 times the second. The first number is 10 less than the second. What are the numbers?
Answer:
This is a bit confusing for me but here we go.
1x110
10x11 and
i don't really know the third
Step-by-step explanation:
Marcy needs to bake 80 cupcakes for a party. She has already baked 1/4 of the cupcakes needed. How many more cupcakes has she has to bake?
Answer:
60 cupcakes
Step-by-step explanation:
1/4 of 80 is 20
20+20+20+20=80
Imagine that James has been bowling for over 10 years and never gets any better or any worse. The probability that he will bowl a strike on any attempt of rolling a bowling ball stays at a constant 55%. During a particular bowling game, what is the probability that James will not bowl a strike until his fourth attempt?
Answer:
5.01%
Step-by-step explanation:
In order to calculate a sequence of events you need to multiply the probability of each event happening with one another in decimal form. In this scenario, the probability of James bowling a strike is 55% meaning that the probability of James NOT bowling a strike is 45%. We want to know the probability of James NOT bowling a strike for 3 attempts and then bowling a strike on his fourth attempt. We first turn these probabilities into decimal form by dividing them by 100. And then multiply...
55 / 100 = 0.55
45 / 100 = 0.45
0.45 * 0.45 * 0.45 * 0.55 = 0.05011875
Multiply by 100 to get percentage.
0.05011875 * 100 = 5.01%
A video game has 26 levels. You can score 5,337 points on each level. How many
hurry plzz
Answer:
Rounded: 205
Orignal:205.269230769...
Step-by-step explanation:
Divide 5337 by 26
Answer: at the end of the game u have 138762 points
Step-by-step explanation: new high score
12. According to the label, the package of crackers contains 6 grams of fat, which is 8% of the recommended daily value.
How many total daily grams of fat are recommended in a day?