Answer:
The correct answer is:
(a) 0.0784
(b) 0.0588
(c) 0.1493
Step-by-step explanation:
According to the question,
Number or ace or king,
n (ace or king) = 8
Number of red,
n (red) = 26
Number of club,
n (club) = 13
Number or jack,
n (jack) = 4
(a)
Probability of 1st ace or king and 2nd in red will be:
⇒ [tex]P(ist \ ace \ or \ king \ and \ 2nd \ red) = \frac{8}{52}\times\frac{26}{51}[/tex]
⇒ [tex]=0.0784[/tex]
(b)
Probability of both clubs will be:
⇒ [tex]P(clubs) =\frac{13C_2}{52C_2}[/tex]
⇒ [tex]=0.0588[/tex]
(c)
Probability of at least one is jack will be:
⇒ [tex]P(at \ least \ one \ is \ jack)=1-P(none \ jack)[/tex]
⇒ [tex]=1-\frac{48C_2}{52C_2}[/tex]
⇒ [tex]=0.1493[/tex]
I need help figuring out the input and output and I have been struggling with it so muchh!!
Answer:
4=4
5=9
Step-by-step explanation:
How many seconds are there in
January?
Answer: 2,678,400
Step-by-step explanation:
There are 31 days in January and 2,678,400 seconds
Does anyone know what the answer please?
Answer:
<1 = 73
Step-by-step explanation:
All triangle interior angles add up to 180 so:
<1 + 55 + 52 = 180
<1 + 107 = 180
<1 = 180 - 107
<1 = 73
PLEASE I NEED HELP
If f(x) = x/2 -3 and g(x) = 4x2+ x - 4, find (f+g)(x). A. 4x2 + 3/2x-7 B. 4x2 + 1/2x - 1 C. 6x2 - 7 D. 4x2 + 3/2x -1
Answer:
A.
[tex]4x {}^{2} + \frac{3}{2} x - 7[/tex]
Step-by-step explanation:
Add theses functions
[tex] \frac{x}{2} - 3 + 4 {x}^{2} + x - 4 \\ 4 {x}^{2} + \frac{3}{2} x - 7[/tex]
Help please & thank you , need it asap
Answer:
x = 180 - 30 - 41 - 67 = 42°
show your work please
Answer:
-0.375
Step-by-step explanation:
just convert the expression to get -0.375
hope this helps
Find the measure of angles T and V.
W is 90
Full equation
90+ 2x +3x =180
5x = 180-90
5x = 90
X= 90/5
X= 18
T = 3 (18)
T= 54
V=2(18)
=36
can someone please explain how to do this?
Answer:
14)
tan θ = BC/AC = 9/13θ = arctan (9/13)θ = 34.7°15)
cos 45° = 14/xx = 14 / cos 45°x = 19.8I need help ASAP i will give brainlist
Answer:
M
Step-by-step explanation:
Answer:
Point M
Step-by-step explanation:
Each line represents 0.05 so M would best represent 1/3
Help please and thank you if you do all of them I will mark you as Brainliest
rounded to tens: 30,190, 5,010 and 20
rounded to tenths: 62.6, 1.1, 0.0, and 270.6
rounded to hundredths: 0.12, and 98.51
If the radius of a circle is 2.6 inches, what is the diameter of the circle?
Answer:
5.2
Step-by-step explanation:
radius is half the diameter
Answer:
5.2in
Step-by-step explanation:
im almost done with this hw. plz help!!! give explanation if you actually know the answer so ik u dont just want points
Answer:
he would have a 2/5 chance because he misses or hit three so he would either miss two or hit two according to the chart
Step-by-step explanation:
sry if I'm wrong but it would be one of the most valid answers
Answer:
3/10
Step-by-step explanation:
#2, 7 and 8 are the valid 3 goal trials out of 10
Mrs. Hagan measured the height, in inches, of all the girls in her PE class. She recorded her results in
the following list.
63, 60,67, 62,58, 63, 68,
59, 62, 65,56, 63 59, 62,
58
13. Determine the 5-number summary and make a box-and-whisker plot for the data set.
14. Between what heights are the middle 50% of the girls in Mrs. Hagan's PE class?
Answer:
Step-by-step explanation:
5 number summery
Minimum: 56
Maximum: 68
Median: 62
First quartile: 59
Third quartile: 63
Elyssa bought a rectangular aquarium. The measurements, in feet (ft), are shown below.
How much water will it take to fill the aquarium
1. Explain why it makes sense to call the following expression a “perfect
square." *
x2 + 20x + 100
Answer:
because all sides are equal
The expression is a perfect square of (x+10)².
What is perfect square?A perfect square is a number that can be expressed as the product of an integer by itself or as the second exponent of an integer.
For example, 25 is a perfect square because it is the product of integer 5 by itself, 5 × 5 = 25.
Given that the expression, x² + 20x + 100,
So, writing the expression as expanded form,
x·x + 2·10·x + 10·10
x² + 2·10·x + 10²
We see it is in the form of a² + 2ab + b²,
We know that, a² + 2ab + b² = (a+b)²
So,
x² + 2·10·x + 10² = (x+10)²
Hence the expression is a perfect square of (x+10)².
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Someone please help with this!!!!
Answer:
18. h = 14.4
19. h = 4.23
20. h = 15.28
21. h = 11.46
All answers are rounded to two decimal places.
Step-by-step explanation:
18. To find the height if you know all 3 sides. Multiply sides a & b, and divide the product by c.
x = (a * b)/c
x = (18 * 24)/30
x = 432/30
x = 72/5
x = 14.4
19. We know that the entire length of the hypotenuse is 27. However, 24 is needed here. That's 8/9 of 27, so 80 degrees is one of the angles. So we need to find the hypotenuse first. That can be done like this: b/sin(β)
24/sin(80)
24/0.98480775
24/1 * 4000000/3939231
8/1 * 4000000/1313077
32000000/1313077
24.3702388
Now to find the first leg, which will be the height of the entire triangle.
x = √c² - b²
x = √24.3702388² - 24²
x = √593.908539 - 576
x = √17.908539
x = 4.23184818
x = 4.23
20. This one requires similar work to #19, but the hypotenuse of the smaller triangle is x.
20/sin(60)
20/0.8660254
20/1 * 5000000/4330127
100000000/4330127
23.0940109
√23.0940109² - 20²
√533.333339 - 400
√133.333339
11.5470056
î The answer above is leg 2 of the smaller triangle.
x = √10² + 133.333339
x = √100 + 133.333339
x = √233.33339
x = 15.2752525
x = 15.28
21. There is no need to figure out what the height is. The entire triangle is 45-45-90.
x = (√18² + 18²) - 15
x = (√324 + 324) - 15
x = (√648) - 15
x = 25.46 - 15
x = 11.46
I am completely lost someone help!:)
Answer:
[tex]x = 26[/tex]
Step-by-step explanation:
Given
The above triangles
Required
Find x
The two triangles are similar. So we make use of the following equivalent ratios, to solve for x
[tex]XZ : ZY = JL : LK[/tex]
Replace each side with their measurements
[tex]13 : 10 = x : 20[/tex]
Express as fraction
[tex]\frac{13}{10} = \frac{x}{20}[/tex]
Solve for x
[tex]x = \frac{13}{10} * 20[/tex]
[tex]x = 1.3 * 20[/tex]
[tex]x = 26[/tex]
Which ratio is equivalent to 7:3?
A. 21: 7
B. 28 : 12
C. 12 : 8
D. 49:9
Answer:
The answer is B.
Step-by-step explanation:
7x4 is 28 which means you have to multiply 3x4. That gives you 12. 28:12 is the proper ratio. (Hope this helped!)
Answer:
b.28/12
Step-by-step explanation:
Find the value of x.
What is 2+2???? very hard question I know that's why I need help.
Answer:
4
Step-by-step explanation:
Answer:
yes to get this answer u need to use ur brain
take 2 and 2
then see how many are there in all so it's 4
So u should mark me as brainlist
A certain car depreciates at
a rate of 14% per year. If the
purchase price of the car is
$26,000, what will the value
of the car be in 6 years?
Explain please answer
Answer:
69.08
Step-by-step explanation:
2×3.14=6.28
6.28×11=69.08
Pls help:( me on this
Answer:
D
Step-by-step explanation:
Root square of 3 is 1.732, the root square of Pi is 1.77, the root square of 8 is 2.82 and the estimated value of Pi itself is 3.14.
What is the equation of the graph below?
y = sec(x) + 2
y = csc(x) + 2
y = csc(x + 2)
y = sec(x + 2)
Answer:
y = csc(x) + 2
Step-by-step explanation:
The equation for the given graph is y = csc(x) + 2
What is an equation of a graph?'In graph theory, Graph equations are equations in which the unknowns are graphs. One of the central questions of graph theory concerns the notion of isomorphism. The graphs are expressed differently in terms of graph equations.'
According to the given problem,
We know, periodicity of a.csc( bx + c ) + d = [tex]\frac{periodicity of cscx}{[b]}[/tex]
The periodicity of csc(x) is 2π,
⇒ [tex]\frac{2\pi }{1}[/tex]
= 2π
Hence, we can conclude, the equation y = csc(x) + 2 represents the given graph.
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The price of the stereo was $96 the tax rate was 6% what was the tax
Answer:
101.76
Step-by-step explanation:
I’m begging for someone to help me with this so bad it about in order largest to small et) (NO LINKS) (NO LYING) IT MUST BE THa. PART 3
Answer:
1) AM, MY, AY
2) GY, GQ, QY
3) QM, QG, MG
4) YX, YG, XG
Step-by-step explanation:
In triangles, the shortest side is always the side that is directly across from the smallest angle while the longest side is always the side that is directly across from the largest angle.
Using this concept, we can answer the questions;
1) Largest side = AM
Smallest side = AY
Arranging from largest to smallest side;
AM, MY, AY
2) Largest side = GY
Shortest side = QY
Arranging from largest to smallest side;
GY, GQ, QY
3) Largest side = QM
Shortest side = MG
Arranging from largest to smallest side;
QM, QG, MG
4) Largest side = YX
Smallest side = XG
Arranging from largest to smallest side;
YX, YG, XG
A rectangular shelf with an area equal to x^2-16x+60 square units could have which possible dimensions for length and width
Answer:
Step-by-step explanation:
x²-16x+60
=x²-6x-10x+60
=x(x-6)-10(x-6)
=(x-6)(x-10)
so dimensions are x-6 and x-10.
How many pounds is equal to 1.5 Ton(s)?
Answer:
3000 pounds :)
hope this helped<3
which of the following could be the graph of the line y=3x-2?
Answer:
D should be the right answer
Answer:
C. IS THE CORRECT ANSWER
Step-by-step explanation:
The equation y=x^2-12x+45 models the number of books y sold in a bookstore x days after an award-winning author appeared at an autograph-signing reception.
How many books were sold at the autograph session?
What is the minimum nunber of books sold?
What day did that occur?
How many books were sold on day fifteen?
Answer:
3.2
Step-by-step explanation:
Answer:
Answer: The first day the author reaches 100 days is on day 16.
To solve this problem, you could use a graphing calculator to graph the given equation. Then, determine when this line crosses 100. It crosses when x = 15.539. Therefore, we would have to round up to 16 so it is at least 100.
You could use the quadratic equation to solve: 100 = x^2 -12x + 45
Either you will get 16. If you use the quadratic formula, make sure to only use the positive answer.
