Answer:
B should be worth more points.
Step-by-step explanation:
Given - Consider a randomly shuffled deck of ten cards labeled
{1, 1, 2, 2, 3, 3, 4, 4, 5, 5}, of which game play requires three
to be drawn.
To find - Which one should be worth more points:
A getting a pair of matching cards within the three,
or B getting a set of three cards that can be arranged such
that the sum of two of them is the value of the third.
Proof -
Given that, three cards has to be drawn.
So, total number of ways the card be drawn = ¹⁰C₃
= [tex]\frac{10!}{3! (10-3)!}[/tex]
= [tex]\frac{10!}{3! 7!}[/tex]
= [tex]\frac{10.9.8.7!}{3! 7!}[/tex]
= [tex]\frac{10.9.8}{3.2.1}[/tex]
= 120
⇒¹⁰C₃ = 120
Now,
Given that, A getting a pair of matching cards within the three
Sample space = { (1,1,2), (1,1,3).(1,1,4),(1,1,5);
(2,2,1),(2,2,3),(2,2,4),(2,2,5);
(3,3,1),(3,3,2),(3,3,4),(3,3,5);
(4,4,1),(4,4,2),(4,4,3),(4,4,5);
(5,5,1),(5,5,2),(5,5,3),(5,5,4) }
⇒n(A) = 20
Also,
B getting a set of three cards that can be arranged such that the sum of two of them is the value of the third
Sample space = { (1,1,2),(1,2,3),(1,3,4),(1,4,5),(2,2,4),(2,3,5) }
⇒n(B) = 6
Now,
P(A) = [tex]\frac{20}{120} = \frac{1}{6}[/tex] = 0.167
P(B) = [tex]\frac{6}{120} = \frac{1}{20}[/tex] = 0.05
We can see that, P(B) < P(A)
⇒B should be worth more points.
5x - y = 6
x + 6y = 4
To solve the system by elimination, what integer would you multiply the FIRST equation by?
Answer:
1.5x-y=6
x-y=5+6
x-y=11
2.x + 6y =4
x+y=6-4
X+y=2
xy=2
SORRY THE WRONG
Step-by-step explanation:
FROM INDONESIAN
what is the adjective in these sentence the elephant had a long twisty trunk.which of the word is adjective .
The diagram shows the dimensions of the pool cover for a hotel pool.
10 ft
45 ft
20 ft
8 ft
7.5 ft 7.5 ft
Write and solve an equation to find the area of the pool cover.
Step-by-step explanation:
if pool is like cylinder
area =πr²h
if pool is cuboid
then area =2(lh+bh+lb)
A straight angle is split into two smaller angels as shown. The smaller angle’s measure is 1/6 that of a straight angle. What is the value of angle a?
Answer:
e
Step-by-step explanation:
Assuming that angle a is the smaller angle, angle A measures 30 degrees
Hope it helps!! :)
Without looking, Luke picks necklace beads from a bag of 52 beads. Half the beads are rough. The other half are smooth. There are 13 red beads, 13 blue beads, 13 green beads, and 13 black beads.
What is the theoretical probability of selecting a blue bead? Write the probability as a fraction in simplest form.
Answer: [tex]\dfrac{1}{4}[/tex]
Step-by-step explanation:
Given
The total no of beads is 52
there 13-red,13-blue,13-green, and 13-black
favorable outcomes to select a blue bead is 13
Total outcomes are 52
Probability is given by
[tex]P=\dfrac{\text{favorable}}{\text{Total outcomes}}\\\\\Rightarrow P=\dfrac{13}{52}=\dfrac{1}{4}[/tex]
Answer: 1/4
Step-by-step explanation:
(4x + 24)/x
since the expression is an integer, x
How many different integer values are there?
Step-by-step explanation:
this is an integer of the interior comes from into juice
Answer:
x= -8
Step-by-step explanation:
4x+ 24= x
4x - x = -24
3x = -24
x = -24/3
x = -8
solve this question in this question you have to solve 46 + 49 -24
Answer:
71
Step-by-step explanation:
46 + 49 = 95
95 - 24 = 71
ASAP HELP:The number of chapters read, y, after x days. The 5 slope of the line is and the y-intercept is 2. slope means... y-intercept means...
Answer:
Step-by-step explanation:
The number of chapters read = y
Number of days spent to read = x
Slope of the line = [tex]\frac{5}{4}[/tex] ≈ 1.25
y-intercept = 2
Slope means "number of pages read per day"
For slope = 1.25 means "1.25 pages read per day"
y-intercept means "Number of pages read initially"
y-intercept = 2 means "2 pages have been already read"
HELPPP!! WILL MARK AS BRAINLIEST!!
Answer:
30
Step-by-step explanation:
All angles measure up to 180.
3x+2x+1x=180
6x=180
1x=30
Answer:
L = 90
K = 60
M = 30
Step-by-step explanation:
2x + 3x + x = 180
6x = 180
divide by 6
x = 30
3(30) = 90
2(30) = 60
Hope I helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
7. A quadratic function has the form y-ax' for
some nonzero value of a and (4, 48) is on the
graph. What is the value of a?
The Mean Corporation would like to invest in the booming health food industry. It is considering the creation of a health-drink franchise called Goose Juice. The investment department of the Mean Corporation wants to investigate the feasibility of this venture by examining the profits of similar franchises. It believes that the venture will be feasible if an average annual profit of more than $85,000 can be expected from each Goose Juice that is opened. It is known that the annual profits earned by health-drink franchises has a population standard deviation of $8,700.
The Mean Corporation's statisticians would like to construct a hypothesis test for the population mean annual profit earned by health-drink franchises. A random sample of 50 franchises was chosen and their annual profit for the previous financial year was recorded. The mean annual profit for the sample was calculated as $82,441.
The hypotheses that were used by the statisticians were
Null hypothesis: population mean = 81,000, Alternative hypothesis: population mean > 81,000 and the test statistic was found to be 1.29 (to 2 decimal places).
Required:
Calculate the p-value for this test, giving your answer as a decimal to 4 decimal places.
Answer:
The p-value is approximately 0.9015
Step-by-step explanation:
The statistic parameters are;
The population mean, μ₀ = $85,000
The population standard deviation, σ = $8,700
The size of the sample, n = 50
The sample mean annual profit, [tex]\bar x[/tex] = $82,441
The null hypothesis, H₀: μ = 81,000
The alternative hypothesis, Hₐ: μ > 81,000
Given that n > 30, a z-test is used
The test statistic ≈ 1.29
Therefore, we have;
[tex]z=\dfrac{\bar{x}-\mu_0 }{\dfrac{\sigma }{\sqrt{n}}} = 1.29[/tex]
From the z-score, the p value for a test statistic of 1.29 = 0.90147 which is 0.9015 after rounding up to 4 decimal places
A grocery store clerk has 16 oranges, 20 apples, and 24 pears. The clerk needs to put an equal number of apples, oranges, and pears into each basket. What is the greatest number of baskets that can be made so that no fruit is left?
Answer:
4 oranges, 5 apples, 6 pears in each bag
Step-by-step explanation:
theyre all divisible by 4
What is the value of x?
Thank you so much in advance!
Answer:
x = 96°Hope this will help you.
Help me with this please
Answer:
x = 6.5
Step-by-step explanation:
6x - 2 = 2x + 24
simplify:
subtract 2x from each side:
4x - 2 = 24
add 2 to each side:
4x = 26
divide both sides by 4:
x = 6.5
This one please help out
Answer:
15. there are 11 cubes
16. there are 18 cubes
17. there are 6 cubes
18. the pencil case
19. the stapler
20. The Pencil Case is heavier than the wallet
21. The stapler is lighter than the wallet
Step-by-step explanation:
Okay so looking at the unit cubes you must count how much there are and see how much unit cubes the weight is equivalent to
15. there are 11 cubes
16. there are 18 cubes
17. there are 6 cubes
18. the pencil case
19. the stapler
20. The Pencil Case is heavier than the wallet
21. The stapler is lighter than the wallet
your work is correct!! Good job!!
Hope this helps!!
-Ketifa
Explain why VxVx = x for all x > 0.
Can you please help me ASAP
Answer:
B) y=1/4x²
Step-by-step explanation:
please please help!!!! ILL MARK BRAINLYEST!!! :) you’ll make my night fr! pls help!
Answer:
g=12 and h=6[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Since the triangle is a 30-60-90 (meaning a special triangle), therefore the hypotenuse, g, is twice the length of the shortest leg with 6cm. The leg opposite of the right angle is [tex]\sqrt{3}[/tex] of the other leg (shorter leg).
Y=3/4x-2 for slope plz heeeeeeeeeeeeeeeeeelp
Answer:
m = 3/4
Step-by-step explanation:
That's the correct answer for you :)
Question number 5, best answer will mark branliest
Answer:
A) Khalid walks faster. You can see more distance is covered in less time by the blue arrow.
B) 4, 4
C) 1/4, 1/4 (or 0.25 if they prefer decimals)
Step-by-step explanation:
A) Khalid walks faster. You can see more distance is covered in less time by the blue arrow.
B) 4, 4
C) 1/4, 1/4 (or 0.25 if they prefer decimals)
The equation c = 8n models the total cost, c, for n movie
tickets.
a. Graph the relationship modeled by the equation. Be
sure to label the axes.
b. How does the graph show the cost per ticket? How is
this cost related to the equation?
Answer:
8 would be A and b would be 4
WILL GIVE BRAINLIEST
HELP PLZ what's the distance for this question
Answer:
[tex]Distance = 770ft[/tex]
Step-by-step explanation:
Given
[tex]Height =986[/tex]
[tex]\theta = 52[/tex]
Required
The distance between the tower and Eiffel
The distance is calculated using:
[tex]tan\alpha = \frac{Distance}{Height}[/tex]
Where
[tex]\alpha = 90 - \theta[/tex] --- the angle between the diagonal line and the vertical line
[tex]\alpha = 90 - 52[/tex]
[tex]\alpha = 38[/tex]
So, we have:
[tex]tan(38) = \frac{Distance}{986}[/tex]
[tex]Distance = 986 * tan(38)[/tex]
[tex]Distance = 986 * 0.7812[/tex]
[tex]Distance = 770ft[/tex] --- approximated
(1) Write a note on advantage of using a solar cooker?
Answer:
Adding 12 to the circle area is equal to the square area.
Or
s2 = 12 + A
Where
s = side of square
A = area of circle
So
s2 = 12 + 36
s2 = 48
Solve this for s to get the side length
a device that utilize solar energy for cooking for purpose is called solar cooker.
It is pollution free.
It helps to cook food.
The food which is cooked in solar cooker is nutrition
Step-by-step explanation:
.
Linda is playing a role-playing game with her friends. She will roll dice to determine if her character unlocks a treasure chest. The probability of her character unlocking the treasure chest is 13/20. Find the odds in favor of her character unlocking the treasure chest.
Answer:
65 percent chance right
Step-by-step explanation:
so she opens it 13 out of 20 times, so divide 13 by 20 and you get it
What’s. 4
Is the fraction four fourths equal too
Answer:
4 is equal to the fraction [tex]\frac{4}{1}[/tex]
Step-by-step explanation:
What is the rectangular form of Theta = StartFraction 3 pi Over 4 EndFraction?
Answer:
C
Step-by-step explanation:
edge
Answer:
C or x+y=0
Step-by-step explanation:
edg
36.raule both a shirt at 40% discount that if he paid 228 what was the shirt original price?
A. 440
B.410
C.390
D.380
Help PO sorry Mali PO ung isang question ko
Answer:
The answer is D. 380!!!!!
What is the distance around a circle called?
A. Radius
B. Diameter
C. Circumference
D. Chord
Answer:
it is "c" (circumference)
Step-by-step explanation:
i hope this helps, have a good day
The distance around a circle called Circumference.
Option C is correct.
What is circumference?The circumference of any shape in mathematics defines the route or boundary that surrounds the shape. In other terms, the circumference is also known as the perimeter, and it aids in determining the length of any shape's contour. The perimeter and area of a circle are two important dimensions of a circle, as we all know.
The circumference of the circle, also known as the perimeter of the circle, is the measurement of the circle's boundary.
The area of a circle, on the other hand, defines the region it occupies.
If we open a circle and draw a straight line through it, the length of the line is the circumference.
As, The Circumference (or) perimeter of circle = 2πR
Thus, the distance around a circle called Circumference.
Learn more about Circumference here:
https://brainly.com/question/28757341
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Lines that appear to be tangent are tangent. O is the center of the circle. What is the value of x?
Answer:
28
Step-by-step explanation:
Neat Question.
Thanks for posting.
The straign line (horizontal) makes an isosceles triangle inside the circle. So the bottom angle of the triangle is also 59 degrees. The central angle of the interior triangle is
180 - 59 - 59 = 62.
x and the 62 degree angle are complementary -- both are in the 90 degree angle triangle made by the tangent. x + 62 = 90
x = 90 - 62 = 28
Answer:
x = 28°
Step-by-step explanation:
PQ is tangent to circle O, ∠OPQ = 90°
∠QPR = 90-59 = 31°
mOP = mOR (radius) ∠PRO = ∠OPR = 59° (isosceles triangle)
∠PRO = ∠QPR + x° (triangle exterior angle)
x = 59° - 31° = 28°