20 / 52 = 5 / 13
Step-by-step explanation:
Probability(P) is the likelihood of occurrence of an event. It is given by;
P = total number of favourable outcomes ÷ total number of possible outcomes
In a pack of playing cards, there are 52 cards altogether.
Therefore, the total number of possible outcomes = 52
To get the probability that a card drawn at random is neither a face nor a black card, the following should be noted.
i. There are 12 face cards in the pack. These are the kings (4 cards), queens(4 cards) and the jacks (4 cards).
Therefore, number of cards that are not face cards = 52 - 12 = 40
ii. Black cards are half of the total number of cards = 26.
These black cards contain half of the kings, queens and jacks cards = 6 which are already included in the face cards. Therefore, the remaining black cards will be 26 - 6 = 20
Neither a face card nor a black card = 40 - 20 = 20 [number of favourable outcomes]
The probability of getting neither a face card nor a black card is
=> total number of favourable outcomes ÷ total number of possible outcomes
=> 20 / 52 = 5 / 13
Arrange the matrices in increasing order of their determinant values.
Answer:
c, a, b
Step-by-step explanation:
Given
See attachment for matrices
(a)
[tex]D = \left[\begin{array}{cc}\cos\theta &\sin\theta\\ -\sin\theta& \cos\theta\\\end{array}\right][/tex]
The determinant of the matrix is:
[tex]|D |= (\cos\theta * \cos\theta - \sin\theta *- \sin\theta)[/tex]
[tex]|D | = \cos^2\theta + \sin^2\theta[/tex]
Using trigonometry ratio, we have:
[tex]|D | = 1[/tex]
(b)
[tex]\left[\begin{array}{ccc}2&0\\0&2\end{array}\right][/tex]
The determinant of the matrix is:
[tex]|D| = 2 * 2 - 0 * 0[/tex]
[tex]|D| = 4 - 0[/tex]
[tex]|D| = 4[/tex]
(c)
[tex]\left[\begin{array}{ccc}0&i\\-i&0\end{array}\right][/tex]
The determinant of the matrix is:
[tex]|D| = 0 * 0 -(-i * i)[/tex]
[tex]|D| = 0 +i^2[/tex]
[tex]|D| = i^2[/tex]
In complex numbers
[tex]i^2 = -1[/tex]
So:
[tex]|D| = -1[/tex]
So, the order of the determinants is: c, a, b
Find the area of the figure below
Answer:
the answer 240
Step-by-step explanation:
times 24 and 10 to get 240 m
please help i give all my points
where is the drip at?
what is 13 over 4 multiplied by 3 over 2
Answer:
so this is the correct answer right
Answer:
[tex]\frac{39}{8}[/tex]
Step-by-step explanation:
Multiply the numerators: [tex]13*3= 39[/tex]
Multiply the denominators: [tex]4*2=8[/tex]
Final answer: [tex]\frac{39}{8}[/tex]
It is in simplest form, by the way.
Jean walks forward 80 feet to his mailbox. He then walks the 80 feet
back. Does Jean end up back where he started?
Answer:
yes
Step-by-step explanation:
[tex] {x}^{2} + 16x + 10 = 0[/tex]Split the middle term.
Please help!!!!!!
BRainliest.
Answer:
4.974
Step-by-step explanation:
Jimmy's Bakery sold 950 donuts last week. This week, the number of donuts sold increased 12%. How many more donuts were sold this week?
Answer:
114
Step-by-step explanation:
12% of 950 is 114, so since 12% more donuts are sold this week, we sold 114 more donuts this week compared to last week.
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
805
Step-by-step explanation:
I need help plss!! Thankyou in advance!!
The sum of Bill's age and
Nancy's age is 45. In three years, bill will be three times as old as Nancy
was four years ago. Create a system of linear equations to represent the relationship between
Bill's age and Nancy's age. Solve the system graphically to determine how old Bill and Nancy are
today?
Answer:15
Step-by-step explanation:
Jake draws A POR on the coordinate plane
A. 20.13 units
B. 19.42 unit
C. 18.71units
D. 18 units
it’s two different answers but i need help !!
Answer:
use this to help you determine your answer
Step-by-step explanation:
Two triangles are congruent if they meet one of the following criteria. : All three pairs of corresponding sides are equal. : Two pairs of corresponding sides and the corresponding angles between them are equal. ... and another pair of corresponding sides are equal in two right triangles.
I need Answer Immediately!!!!!
Answer:
I think it is 1 Block every 3 minutes
(7x-3y)/(y-2x) = -(3/5).
Find the value of x/y.
Answer:
x = 12 y y = 29x
29 12
Step-by-step explanation:
will give brainlist, pls help lol
Answer:
D, 144
Step-by-step explanation:
Find x first by solving 9x+27=6x+66, and plug x in to the angle RSL.
x) sec’A + cosec?A
secA. cosecA
Answer:
(Sin A + Cos A)/Sin A. Cos A
Step-by-step explanation:
As we know
Sec A = 1/Cos A
and Cosec A = 1/Sin A
Given Equation
Sec A + Cosec A
Substituting the given values, we get -
1/cos A + 1/Sin A
(Sin A + Cos A)/Sin A. Cos A
Which expression would you use to determine the missing number in the sequence? 11, ____, 25, 32, 39
Brittany stamps 20 letters in 1
hour. How many hours will it
take her to stamp 380 letters?
round your answer to the nearest hundredth
Answer:
hi
Step-by-step explanation:
To round a number to the nearest hundredth , look at the next place value to the right (the thousandths this time). Same deal: If it's 4 or less, just remove all the digits to the right. If it's 5 or greater, add 1 to the digit in the hundredths place, and then remove all the digits to the right.
Answer:
Step-by-step explanation:
let the missing angle be x
take 65 degree as reference angle
use tan rule
tan 65=opposite/adjacent
2.14=x/7
2.14*7=x
14.98=x
please help! I need to solve it algebraically and if you can show your work/explain how you got the answer that would help a ton because I need that to!
The answer is x=-10
Step-by-step explanation:
the reasoning is you do the inverse or opposite of three to both sides so you add +3 to both sides so the -3 and the +3 would cancel out then you would add +3 to the integer -23 and get -20 next is you divide by 2 on each side so you 2÷2 which would cancel out and then -20÷2 which would equal -10
Hence the answer is x=-10
What number is a prime factorization of 60
Answer:
Use a factor tree to express 60 as a product of prime factors. So the prime factorization of 60 is 2 × 2 × 3 × 5, which can be written as 2 2 × 3 × 5.
Dr. Porterfield has a choice of bread (pink, purple), meat (ham, turkey, beef) and Cheese (American, Swiss, Portugues, Japanese) at a sandwich shop. What is the probability he will select a sandwich on purple bread with either beef or turkey and has Japanese cheese
Answer:
The probability is 0.08[tex]\overline 3[/tex]
Step-by-step explanation:
The choice of bread Dr Porterfield has = Pink, purple
The number of types of breads = 2
The choices of meat = Ham, turkey, beef
The number of types of meat = 3
The choice of cheese = American, Swiss, Portuguese, Japanese
The number of types of cheese = 4
The probability of selecting purple bread from pink or purple = 1/2
The probability of selecting beef or turkey from the 3 choices of meat = 2/3
The probability of selecting Japanese cheese from the fourvtypes of cheese = 1/4
Therefore, the probability he will select a sandwich on purple bread with either beef or turkey and has Japanese cheese = (1/2) × (2/3) × (1/4) = 2/24 = 1/12 = 0.08[tex]\overline 3[/tex]
HELP PLEASEIWJDO!NWDIOJQWILD
Answer:
5.66
Step-by-step explanation:
(-1,-3) (-5,1)
√(x2 - x1)² + (y2 - y1)²
√[-5 - (-1)]² + [1 - (-3)]²
√(-4)² + (4)²
√(16) + (16)
√32
= 5.66
4. Janet wants to spend no more than $45 her friend's birthday gift. She already bought her a
$15 bracelet. Write an inequality to show how much can she still spend on her friend?
Answer:
Step-by-step explanation:
45=15+x
45-15=x
30=x
A car salesman sold three hybrid cars last week. The cars come in red, white, and black. A sale is listed as RWB if a red car was sold first, a white
was sold second, and a black car was sold third.
A list of all possible outcomes is shown. Each outcome has equal probability.
{RRR, RRW, RRB, RWR, RWW, RWB, RBR, RBW, RBB, WWW, WWR, WWB, WRR,
WRB, WRW. WBR, WBB, WBW, BBB, BBR, BBW, BWR, BWW, BWB, BRW, BRR, BRB)
What is the probability that the cars sold last week included a white car or the first car sold was red?
Answer:
23 / 27
Step-by-step explanation:
Total possible outcomes :
{RRR, RRW, RRB, RWR, RWW, RWB, RBR, RBW, RBB, WWW, WWR, WWB, WRR, WRB, WRW. WBR, WBB, WBW, BBB, BBR, BBW, BWR, BWW, BWB, BRW, BRR, BRB) = 27
Required outcome : 23
{RRR, RRW, RRB, RWR, RWW, RWB, RBR, RBW, RBB, WWW, WWR, WWB, WRR, WRB, WRW. WBR, WBB, WBW, BBW, BWR, BWW, BWB, BRW) = 23
Required outcome / Total possible outcomes
= 23 / 27
How do the triangle theorems work. Asa aas sas hL?
An isosceles triangle has base angles that each measure 42°. Which equation can be used to find z, the measure of the third angle of this isosceles triangle in degrees? \
Answer:
42 + 42 + z = 180
Step-by-step explanation:
Note that:
Base angles in an isosceles triangle are equal in measure.
The sum of angles in a triangle is 180°.
Thus, the equation would be
42 + 42 + z = 180
How do I solve this?
Please help
please help. It’s due tomorrow.
Answer:
It is assumed you need to find the area of shaded region.Results rounded to the nearest hundredth.#1
Shaded area:
A = 32² - 16*π*(32/8)² = 219.75 cm²#2
Shaded area:
A = π*2² - 2*π*(2/2)² = 6.28 cm²219.75cm²
3.14cm²
Answer:
Solution given:
1.
[r]radius of each circle =32/8=4cm
[l]length of square=32cm
Area of shaded region =area of square- area of 16 circle=l²-11*πr²=32²-16*π*4²=219.75cm²
Step-by-step explanation:
radius for big circle [R]=2cm
radius for small circle [r]=1cm
area of shaded region=area of big semi circle -2 area of semi small circle
=½πR²-2*½πr²
=½*π*2²-π*1²
=2π-π
=π=3.14cm²
10 pts
Remy is considering moving into a one-bedroom apartment in Quiet Trees Gardens. The apartment has
a monthly rent of $1,650.
Below are the fees she has been quoted. How much is she expected to pay up front in order to rent this
apartment?
Application: 1.5% of 1 month's rent
Credit application fee $30
Security deposit: 1 month's rent
Last month's rent
Broker's fee: 7% of 1 year's rent
$6,390.75
$6,820.35
O $3,090,75
$4,740,75
Question 4
10 pts
Answer:
Total amount pay for new apartment = $4,740.75
Step-by-step explanation:
Find:
Total amount pay for new apartment
Computation:
Particular Amount
Monthly rent of apartment $1,650
Add:
Application fee [1,650 x 1.5%] $24.75
Credit application fee $30
Security rent $1,650
Broker's fee [1,650 x 12 x 7%] $1,386
Total $4,740.75
Total amount pay for new apartment = $4,740.75