Answer:
We have a 52 card deck:
a. Find the probability that both cards are clubs.
The probability of drawing a club will be equal to the quotient between the number of clubs in the deck divided by the total number of cards in the deck.
We initially have 13 clubs and 52 cards, then the probability of drawing a club in the first draw is:
p1 = 13/52.
Now the probability of drawing a club in the second draw will be:
p2 = 12/51
Where each number is decreased by one because we already drew a card, and that card was a club.
Then the probability of both events happening will be equal to the product of the individual probabilities:
P = p1*p2 = (13/52)*( 12/51) = 0.059
b. Find the probability that the first card is a spade and the second is a club.
Same as before, the probability of first drawing a spade is:
p1 = 13/52
And the probability of drawing a club in the second draw will be:
p2 = 13/51
This case differs from the prior one because for the second draw we have 13 clubs in the deck, and as we already drew one card (that was not a club) the total number of cards in the deck is 51.
Now the joint probability will be:
P = p1*p2 = (13/52)*(13/51) = 0.064
In right ∆ABC with m∠B=30°, AC = 4.
Find AB, HB and Area of triangle ABC
Answer:
hb=4√3
Step-by-step explanation:
Answer:
AB = 8, HB = 6, Area of ∆ABC = 8[tex]\sqrt{3}[/tex], Perimeter of ∆ABC = 12 + 4[tex]\sqrt{3}[/tex]
Step-by-step explanation:
To find AB:
∆ABC is an 30,60,90∆
Using the theorem, you can find AB = 2AC = 2*4 = 8
AB = 8
To find HB:
You need to find AH to subtract from AB
Construct CH, a perpendicular bisector to side AB
From before you can put together that m∠CAB = 60°
∆ACH is an 30,60,90∆
Using this method again, AH = AC/2 = 4/2 = 2
Then you subtract AH from AB = 8-2 = 6
HB = 6
To find the area of ∆ABC:
You use the (base*height)/2 method
base = AB = 8
to find the height, CH, you need to use the Pytha Theorem
and get [tex]AH^{2}+CH^{2}=AC^{2}[/tex]
then substitute, and get [tex]2^{2} + CH^{2} = 4^{2}[/tex]
calculate and get CH = 2[tex]\sqrt{3}[/tex]
then the height = CH = 2[tex]\sqrt{3}[/tex]
solve the area and get
Area of ∆ABC = 8[tex]\sqrt{3}[/tex]
(optional perimeter)
to find perimeter of ∆ABC:
you add AC + CB + AB
you find CB by using opposite to 30°
CB = CH*2 = 2[tex]\sqrt{3}[/tex]*2 = 4[tex]\sqrt3}[/tex]
so AC + CB + AB = 4 + 4[tex]\sqrt3}[/tex] + 8
Perimeter of ∆ABC = 12 + 4[tex]\sqrt3}[/tex]
Hope this helps!!
Choose the correct expression for 10 decreased by 3x
Answer:
10-3x=0
3x=10
x=10/3
Step-by-step explanation:
2,___, 8, ___, ___, 17 The first, third, and sixth terms of an arithmetic sequence are shown. What is the common difference between consecutive terms in the arithmetic sequence? Type your answer in the box. Backspace to erase.
Answer:
3
Step-by-step explanation:
The pattern is 2, 5, 8, 11, 14, 17.
Hopefully this helps!
In the Arithmetic sequence, the common difference between consecutive terms is 3 .
The general term of an arithmetic sequence is,
[tex]a_{n}=a_{1}+(n-1)d[/tex]
where d is common difference.
Given that, first term [tex]a_{1}=2,a_{3}=8[/tex]
So, [tex]a_{3}=a_{1}+2d\\\\8=2+2d\\\\2d=8-2=6\\\\d=6/2=3[/tex]
Therefore, common difference is 3.
Learn more about arithmetic sequence here:
https://brainly.com/question/13711310
What is an equation in point-slope form of the line that passes through (1, −6) and (4, 6)?
Answer:
y=4x-10
Step-by-step explanation:
helpppp it’s my friends birthday
28 is 7 times what number?
8 is 32 times what number?
4000 is 4 times what number?
Choose one part and explain how you know your answer is correct.
Answer:
1) 28 divided by 7 equals 4
2) 32 divided 8 equals 4
3) 4000 divided by 4 equals 1000
i hope these are right!
Answer:
4
1/4
1000
multiply it by the reciprocal of the 2nd number
Step-by-step explanation:
How many gallons is equivalent to 20 quarts. There are 4 quarts in a gallon.
Label your answer in gallons.
Answer:
5 gallons plz give brainliest
Step-by-step explanation:
Answer:
5 gallons
Step-by-step explanation:20 gallons divided by 4 quarts = 5
20/4=5
Ms. Smith gave her class 12 minutes to read independently in class. Carrie read 5 1 2 2 1 pages in that time. At what rate, in pages per hour, did Carrie read?
Answer:
51,221 pages? Ill answer i just need clarification.
Write three ratios equivalent to the ratios described in each situation.The ratio of cows to chickens is 3:7
The square root of 9999.
Answer:
99.99499987
Step-by-step explanation:
Answer:
99.99499987
Step-by-step explanation:
Stands steakhouse has a server to cook ratio of 5 to to tell a number of servers and cooks are 42 how many servers the stands steakhouse employ
Answer:
Stands Steakhouse has 210 servers.
Step-by-step explanation:
5 servers to 1 cook.
5/1 = x/42
x = 5 * 42 = 210
a water park is designing an incline for guests to boogie board on as shown below
PLEASE HELP
Help with trigonometry homework please
Answer:
I personally think it B.
Step-by-step explanation:
Use the chart and graph to find the number of pairs of size 10 1/2 shoes the store orders for a total order of 175 pairs of shoes.
Answer
Ste2p-by-step explanation:
20 BECAUSE IM DOING THE SAME TEST 20 BECAUSE COUNT UP A COLUMN
hhhhhhhhhhhhhhhhhelp hhhhhhhhhhhhhhhhhelp hhhhhhhhhhhhhhhhhelp hhhhhhhhhhhhhhhhhelp hhhhhhhhhhhhhhhhhelp
Answer:
B is the answer
Step-by-step explanation:
Of the 16 children at the park, 10 are riding bicycles and 6 are riding skateboards. Select the
statements for which the ratio is correct.
a. The ratio of bicycles to skateboards is 10 to 6
b. The ratio of skateboards to children is 3.8
c. The ratio of bicycles to children 6 to 16
d. The ratio of skateboards to children is 6 10
The ratio of bicycles to children is 5,8
The ratio of bicycles to skateboards is 5.3
e
f.
f
Answer:
Step-by-step explanation:
its a or e
Answer:
A
Step-by-step explanation:
A is bicycles to skateboards which is 10:6
Someone please help me with number 6 lve been stuck on it forever
Answer:
x = 10
Step-by-step explanation:
8x - 13 = 5x + 17 (DE = EF)
8x - 5x = 17 + 13
3x = 30
x = 10
help ⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️ 3) Scott is twice as old as Ben. Donna is 6 years older than Ben. The sum of their ages is 34. How old are Donna, Scott, and Ben?
Answer:
S=2B
D=B%2B6
S%2BD%2BB=34
Substitute,
2B%2BB%2B6%2BB=34
4B%2B6=34
4B=28
B=7
Then,
S=2%287%29=14
D=7%2B6=13
Step-by-step explanation:
hope this helps
Answer:
donna is 13
scoot is 14
ben is 7
Step-by-step explanation:
2x+6=34 2x+6-6=34-6 2x=28[tex]\frac{2x}{2} =\frac{28}{2}[/tex]x=14Find the length of AB.
Answer:
Ok:
Step-by-step explanation:
So these triangles are similar. That means that the ration between their sides are the same. In this case, we have then:
AC/CB = CE/CD. Or AC/3 = 16/4.
We can solve AC to be 12. To find AB, it is AC-3 which is 9.
So AB=9
Answer
Ab=9
How I got it
AC/CB = CE/CD. Or AC/3 = 16/4.
We can solve AC to be 12. To find AB, it is AC-3 which is 9.
So AB=9
Please help !! Which are pairs of vertical angles?
< AOC and
Answer: all of them
Step-by-step explanation:
Write the next three terms: 27,32,37,42,
Answer:
47,52,56
Step-by-step explanation:
you are adding 5
What is the common difference in the following arithmetic sequence? 7, 3, –1, –5, .... –3 –4 4 12
Answer:
ik its late the answer is b
Step-by-step explanation:
just took test
The common difference in the following arithmetic sequence is B)-4.
What is the common difference in the arithmetic sequence?The commonplace difference is the value between every successive quantity in an arithmetic series. Consequently, the formula to discover the not unusual distinction of a mathematics collection is: d = a(n) - a(n - 1), in which a(n) is the nth time period in the series, and a(n - 1) is the previous term (or (n - 1)th term) in the series.
That is a mathematics sequence since there is a common difference between every time period. In this case, adding −four to the preceding time period in the collection gives the following time period. In different words, an=a1+d(n−1) a n = a 1 + d ( n - 1 ) .
Learn more about the common differences here: https://brainly.com/question/503167
#SPJ2
ANSWER QUICKLY!!!11!!!1!1
what is 3/4 divided by one - sixths
Solve for w.
w−8=32
w = 4
w = 24
w = 40
w = 256
Answer:
w=40
Step-by-step explanation:
Let's solve your equation step-by-step.
w−8=32
Step 1: Add 8 to both sides.
w−8+8=32+8
w=40
W-4y+z=0 for z (please show work)
Answer: z=-w+4y
Step-by-step explanation:
W-4y+z=0
Calculate product
w-4y+z+0
Move variables to the right
is 0.75 repeating irrational or rational
Answer:
This is a rational decimal and is not a repeating decimal.
Step-by-step explanation:
Todd and Kyle wrote down these numbers. Todd’s number is 78,452 Kyle’s number is 94,725 Which statement below is true about the values of the numbers? *
The value of the 2 in Todd’s number is 10 times larger than the value of the 2 in Kyle's number.
The value of the 5 in Kyle’s number is 10 times larger than the value of the 5 in Todd's number.
The value of the 4 in Kyle’s number is 10 times larger than the value of the 4 in Todd’s number.
The value of the 4 in Todd's number is 10 times larger than the value of the 4 in Kyle’s number.
Answer:
Your answer would be The third option or C
Step-by-step explanation:
Answer:
c) The value of the 5 in Kyle’s number is 10 times larger than the value of the 5 in Todd's number.
Step-by-step explanation:
math answer
Help please! 20 points for whoever answers and Brainiest for whoever gets it right!
Answer:
4s/2
Step-by-step explanation:
Since it's a square, all sides are s.
Multiply s by 4, to get 4s.
Now you do 4s/2
I'm not 100% sure but I tried :)
Answer:
hey bella jordan is searching you like a mad plzz reponse him
On a test a student got 15 problems correct out of a total of 20 problems.
What percent did the student get incorrect?
HURRY
3 3/4-2 1/5 ok so its I dont know 90
Answer:
It equals to 1.55 but if had to be a fraction than it would be 31/20
Step-by-step explanation:
Answer:
i think its -1.45 but for in fraction -29/20
Step-by-step explanation: