A card is drawn at random from a well-shuffled deck of 52 cards. what is the probability of drawing a face card or a spade?​

Answers

Answer 1

Answer:

2/5 or 2:5

Step-by-step explanation:

Face Card:

The face cards in a deck are the Jack, Queen, and King. There are 4 of each card (1 in each suit), for a total of 12 face cards.

Spade:

1/4 of all the cards in a deck are spades, so 52/4= 13 spades.

When added, the numerator of the probability is 25, however, because the Jack, Queen, and King of Spades are duplicated, we have to subtract 3.

25-3=22

22/55

when simplified: 2/5


Related Questions

Please help asap I need this

Answers

Answer:

y= x+4

y=–4–2x

Step-by-step explanation:

using the formula (x–x1)/(x1–x2)= (y–y1)/(y1–y2)

What is the PE of an object that is 15kg that is 5.0 M above the ground?

Answers

Answer:

735 J

Step-by-step explanation:

The potential energy of a body can be found by using the formula

PE = mgh

where

m is the mass

h is the height

g is the acceleration due to gravity which is 9.8 m/s²

From the question we have

PE = 15 × 9.8 × 5

We have the final answer as

735 J

Hope this helps you

HELP PLEASE ANSWER I NEED HELP

Answers

Answer:

x=30

Step-by-step explanation:

x/5-16=-10

x/5=-10+16

x/5=6

x=6×5

x=30

Jerry has four jackets in his closet. Without looking, he reached into his closet, pulled out a jacket, and then put it back in the closet. What is the probability that Jerry will randomly select the same jacket a second time?

Answers

Answer:

1%

Step-by-step explanation:

.

20% of ______ is 120​

Answers

Answer:600

Step-by-step explanation:

Answer:

20

___ x X = 120

100

x100       x 100

20x = 120

divide by 20 on both sides.

x = 6

Line p is parallel to line q. If the measure of angle 3 is 54 what is the measure of angle 6?... Help

Answers

Answer:

54°

Step-by-step explanation:

Because p and q are parallel, angle 3 equal to angle 6 as they are alternative angles.

So angle 6 is 54°.

Alternative

Line p and line q is parallel, so that the sum of a pair of interior angles (angle 3 and angle 5, angle 4 and angle 6) are equal to 180°.

So angle 4 + angle 6 = 180°.

Find angle 4 first:

180° - angle 3 = angle 4

180° - 54° = 126°

So the measure of angle 6 is

180° - 126° = 54°

Answer:

54 degrees

Step-by-step explanation:


The value, V(t), of a baseball card increases according to the function V(t) = P(1.045)', where P is the purchase price of the
baseball card and t is the time, in years since the card was purchased. By what percent does the value of the card increase each
year'?
1 4.5%
2 45%
3 95.5%
4 145%

Answers

The Percentage increase in the purchase price each year is 4.5%.

The given function is:

[tex]V(t)=P(1.045)^t[/tex]

Where P is the purchase price of the baseball card and t is the time.

What is a function?

A function is a rule that establishes a relation between two variables.

[tex]V(1)=P(1.045)^1\\V(1)=1.045P[/tex]

[tex]V(2)=P(1.045)^2\\V(2)=1.092025P[/tex]

Percentage increase in the purchase price each year

=[tex]\frac{V(2)-V(1)}{V(1)} *100[/tex]

[tex]=\frac{1.092025P-1.045P}{1.045P} *100[/tex]

[tex]=4.5%[/tex]%

Hence, the Percentage increase in the purchase price each year is 4.5%.

To get more about functions visit:

https://brainly.com/question/2833285

Helpppp asapppp I’ll give you a lot of points

Answers

Answer:

[tex]x = \frac{5a-2} {7+5a}\\[/tex]

Step-by-step explanation:

Given the expressions

[tex]x = \frac{5}{9y+5}....1\\y = \frac{5}{5a-2} ...2[/tex]

Substitute 2 into 1

[tex]x = \frac{5}{9(\frac{5}{5a-2} )+5} \\x = \frac{5}{(\frac{45}{5a-2} )+5} \\x = \frac{5}{\frac{45+5(5a-2)}{5a-2} } \\x= \frac{5}{\frac{35+25a}{5a-2} }\\x = \frac{5(5a-2)} {35+25a}\\x = \frac{5(5a-2)} {5(7+5a})\\\\x = \frac{5a-2} {7+5a}\\[/tex]

from edgunuity please help asap! image attached above​

Answers

It’s 4 I hope this helps


Explanation I took this in 9th grade so I know how to do this kind of stuff

prove the following identity showing all steps:
[tex]\frac{cos(x+30)-sin(x+60)}{sin(x)cos(x)} =-sec(x)[/tex]

please help fast

Answers

Answer:

See solution below

Step-by-step explanation:

Given the expression

[tex]\frac{cos(x+30)-sin(x+60)}{sin(x)cos(x)} \\[/tex]

Recall that

cos x  = sin(90-x)

cos(x+30 ) = sin (90-(x+30)

= sin(90-x-30)

= sin(60-x)

Substitute

[tex]\frac{sin(60-x)-sin(x+60)}{sin(x)cos(x)} \\= \frac{sin60cosx-cos60sinx)-sinxcos60-cosxsin60)}{sin(x)cos(x)} \\= \frac{-2cos60sinx)}{sin(x)cos(x)} \\= \frac{-2(1/2)sinx)}{sin(x)cos(x)} \\= \frac{-1}{cos(x)}\\= \frac{1}{cos(x)}\\ \\= -sec(x) Proved[/tex]

In the diagram below, BC = QR = x, AC = PR = y, and triangle PQR is a right
triangle. Use the drop-down menus to complete the proof that if the equation
22 + y2 = z2 is true of the side lengths in triangle ABC, then triangle ABC must be a right
triangle.
P
y у
y
B
R
х
Q
x2 + y2 = 22
Triangle PQR is a right triangle
Click the arrows to cho
from each menu.
Triangle PQR is given to be a right triangle, so the Pythagorean theorem can be used to

Answers

Applying the Pythagorean theorem, we have ΔPQR ≅ ΔABC. then we would have: ∠ACB = ∠PRQ = 90°

What is the Pythagroean Theorem?

The pythagorean theorem states that the square of the longest side (hypotenuse) of a right triangle is always equal to the sum of the squares of the other two sides (legs) of the right triangle.

Since we know that ΔPQR is a right triangle, then:

x² + y² = PQ²

We are also given that x² + y² = z², so by substitution, we have:

z² = PQ², which makes both triangles have corresponding congruent sides. Therefore, ΔPQR ≅ ΔABC.

Using the corresponding parts of the congruent triangles, we can conclude that: ∠ACB = ∠PRQ = 90°.

Learn more about the Pythagorean theorem on:

https://brainly.com/question/343682

#SPJ2

What is the volume of the right prism with height h=14cm, if the base of the prism is a triangle ABC with side AB=9cm and the length of the altitude to that side is ha= 6 cm. It is not 476cm2 btw.

Answers

Answer:

378 cm

Step-by-step explanation:

Can you guys help me find the area of this shape. I've literally tried everything and got it wrong.

Answers

Answer:

110 square centimeters.

Step-by-step explanation:

The area for a trapezoid can be figured out with the equation (a + b)h/2.

(9 * 5) + (9 + 4)10/2 {Work inside the parentheses first.}

45 + (13)10/2 {Divide 10 by 2 to get 5.}

45 + 13(5) {Multiply 13 by 5 to get 65.}

45 + 65 {Add 45 & 65 to get 110.}

110 square centimeters.

The area of the figure is 110 square centimeters.

What is 2x times 3x............................

Answers

Answer:

What is 2x times 3x

6x

Step-by-step explanation:

3•2=6

Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

Answer:

2,827.43

Step-by-step explanation:

60 children were asked to chose their favourite vegetable from 5 options. Work out the number of children who chose each vegetable .​

Answers

Answer:

carrots and cauliflower: 6

peas: 12

cabbage, sweetcorn: 18

Step-by-step explanation:

10 percent is 1/10, which is 6/60. Multiplied by two it's 12/60. Multiplied by 3 is 18/60.

Which of the following describe 9.629? Select all that apply.
whole number
real number
rational number
irrational number

Answers

Answer:

Real number

Rational number

Step-by-step explanation:

please help with this question?!

Answers

Answer:

120 yd²

Step-by-step explanation:

The solid has 5 faces.

Bottom: rectangle 6 yd by 3 yd

Left: rectangle 8 yd by 3 yd

Right: rectangle 10 yd by 3 yd

Front & Back: 2 triangles 6 yd base and 8 yd height

area = 6 * 3 + 8 * 3 + 10 * 3 + 6 * 8

area = 72 + 48

area = 120

Answer: 120 yd²

what is 6/7 of2/3? pls help
\

Answers

Answer:

4/7

Step-by-step explanation:

6/7 ÷ 2/3 = 6/7 * 3/2 = 18/14 --->1 4/14 ---> 1 2/7

HELP ASAP
What is the 10th term in the geometric sequence below?


−4, 12, −36, 108, ...


a)-236196


b)-78732


c)236196


d) 78732

Answers

Answer:

78732

Step-by-step explanation:

which angle is supplementary to.... asap plz

Answers

Angle CGA supplementary angles add up to 180°

Answer:

Angle AGC

Step-by-step explanation:

Two angles are called complementary if their measures add to 90 degrees, and called supplementary if their measures add to 180 degrees. ... For example, a 50-degree angle and a 40-degree angle are complementary; a 60-degree angle and a 120-degree angle are supplementary

Find the surface area of the composite solid. 6 ft 4 ft 1 5 ft 5 ft​

Answers

Sa Of Rectangular Prism - 65

Sa Of Pyramid - 85

TOTAL SURFACE AREA - 150

9/2 - 23/9=? plss help ​

Answers

Answer:

35/ 18

(Decimal: 1.944444)

Step-by-step explanation:

Answer

Step-by-step explanation:35/18

Notes for proportional relationships can you give me notes to write down lol

Answers

Answer:

Step-by-step explanation:

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".

In the year 1900, the total number of metric tons of copper purchased in the world was 495,000. Each year since 1990,
the total number of metric tons of copper production has increased on average by 3.25%. Which function models the
total number of metric tons produced, y, for x years since 1990?
А
c(2) = 495.000,20.9675
cc() = 495, 000(1.0325)*
B.
C(2) = 495,000...1.0325
D
c(2) = 495,000(0.9675)

Answers

Step-by-step explanation:

Here is the answer to your question.

Pls help with thissss

Answers

10.3 if you divide 43 and 11 you round and get 10.3

Is a trapezoid always a square?

Answers

No it is not trust me you will lean that as a freshmen

Answer:

No

Step-by-step explanation:

A trapezoid is never a square. A trapezoid only has one pair of parallel lines and a square has two.

Find m
160
260
50
80

Answers

The answer is a 160

Find m<1, m<2, and m<3

Answers

Answer:

<1 = 113

<2 = 67

<3 = 113

Step-by-step explanation:

m<2 = 67 (because of vertical angles)

<1 + 67 = 180

<1 = 113

<1 = <3 because of vertical angles

PLS HELP ME THIS IS Probability (Single event) PLS HELP ME

Answers

Answer:

2/6  or 33.3%

1/6 or 16.65%

3/6 or 50%

0/6 0r 0%

Step-by-step explanation:

Other Questions
Vince has always believed children deserve the best prenatal care available. During a class discussion, he hears the first of several speakers express very negative attitudes toward spending tax money on prenatal care for the poor. When it is his turn to speak, he voices an opinion more in keeping with the previous speakers. Vince's behavior is an example ofVince has always believed children deserve the best prenatal care available. During a class discussion, he hears the first of several speakers express very negative attitudes toward spending tax money on prenatal care for the poor. When it is his turn to speak, he voices an opinion more in keeping with the previous speakers. Vince's behavior is an example of A bank loan officer has been approached by a start-up company that needs a five-year loan to purchase the equipment for its first project. The project will have a life of five years. At the end of five years, the equipment will be worthless. The founders of the company told the loan officer that they would be willing to pay a much higher interest rate on a simple interest loan rather than contracting to an add-on interest loan.A. The loan officer should offer the company an add-on interest loan because there is a high risk that the company will not be able to repay the principal on the loan at the end of the project's life.B. The loan officer should offer the company a simple interest loan. The bank will make more money in the long run, because it can charge a much higher interest rate. Find m 1602605080 Helpppp asapppp Ill give you a lot of points Rbeggbbrynththrdbdhfbffhftbtbtbybgbg Pls help with this question (I will mark brainliest) Collcational restrictions are related to culture.Select one:O TrueO False The pH of a solution with a Hydronium (H30+) ion concentration of 0.001M is What is the difference between wisdom and knowledgeAnswer:Knowledge is the accumulation of facts and ideas.Wisdom is knowing how to apply those facts and ideas so that important choices can be made Its his first exposure to Third World passion. He thought only Americans had informed political opinion - other people staged coups out of spite and misery. Its an unwelcome revelation to him that a reasonably educated and rational man like Ro would die for things that he, Brent, has never heard of and would rather laugh about. Ro was tortured in jail. Franny has taken off her earphones. Electrodes, canes, freezing tanks. He leaves nothing out. Something gotten into Ro. Dad looks sick. The meaning of Thanksgiving should not be so explicit.What is his attitude towards brent(dad) how do you know? Is a trapezoid always a square? Completa. Fill in the blanks with the correct comparative words: tan; como -- peores que -- ms; que -- menos; que -- mejor que1. Yo tengo cinco vestidos y mi mejor amiga tiene tres vestidos. Yo tengo vestidos mi mejor amiga.2. La vendedora tiene muchas mscaras de jade y mi profesora tiene una mscara de jade. Mi profesora tiene mscaras de jade la vendedora.3. Los trajes tradicionales mayas son coloridos (colorful). Los huipiles son coloridos tambin (also). Los trajes tradicionales mayas son coloridos los huipiles.4. Las sandalias no son cmodas. Los zapatos s son cmodos. Las sandalias son los zapatos.5. Mi abuela tiene una blusa muy vieja (old). Yo tengo una blusa nueva (new). Mi blusa es la blusa de mi abuela. Match the definition or example with the correct term can someone help me plz Pleeeeeeeaaase answer quick. With explanation. Will give 40 points Can someone explain how to do this il n'a pas........... devoirs Find the surface area of the prism.2 in.2 in.6 in. HELP ASAP What is the 10th term in the geometric sequence below?4, 12, 36, 108, ...a)-236196b)-78732c)236196d) 78732 Jerry has four jackets in his closet. Without looking, he reached into his closet, pulled out a jacket, and then put it back in the closet. What is the probability that Jerry will randomly select the same jacket a second time?