A card is chosen at random from a standard deck of cards. What is the probability that the card chosen is a heart or spade? Are these events mutually exclusive?

Answers

Answer 1

Answer:

a. Probability is 50%

b. Picking either a heart or spade is mutually exclusive

Step-by-step explanation:

There are 52 cards in a deck of cards.

Of those 52, 13 are hearts and 13 are spades.

The probability of picking wither of them is therefore:

= (13 + 13) / 52

= 26/52

= 50%

Mutually exclusive events are those that cannot occur at the same time. You can either pick a heart or you can pick a spade. You cannot pick both at the same time so these are mutually exclusive.


Related Questions

Please help.......................

Answers

Answer:

1

Step-by-step explanation:

Don't worry I just know

NNED HELP ASAP! WILL MARK BRAINLIEST IF CORRECT! Line B has the equation y=3x–4. Write the equation of the image of B after a dilation with a scale factor of 2, centered at the origin. Write your answer in slope-intercept form.

y=

Answers

Answer:

y=3x-2

Step-by-step explanation:

all you need to do is divide the coordinates of the x intercept and y intercept  by two

Simplify 18.1 - 1.1(7.4 - 9.6 + 0.5).

Answers

The answer to this question is 17

helppppppppppppppppp​

Answers

A= 1/2 (3+17) (8)
A= 80 cm

What is the driving time for a ​2900 mile trip if you drive at an average speed of 50 miles per​ hour? What is the driving time at 69 miles per​ hour?

Answers

58 hours for 50 mph and 42.03 hours for 69 mph

A certain lottery has 31 numbers. In how many different ways can 4 of the numbers be​ selected?

Answers

Infinite amount of times

HELP ASAP
What is the area of the shaded region?
(2571 - 48) cm
O (2517 - 30) cm
(2517 - 24) cm
(257-12) cm

Answers

Answer:

Step-by-step explanation:

We are given a circle with a partially shaded region. First, we need to determine the area of the whole circle. To do this, we need the measurement of the radius of the circle:

Use the Pythagorean theorem to solve for the other leg of the right triangle inside the circle:

5^2 = 3^2 + x^2

x = 4

The radius is 4 + 1 cm = 5 cm

So the area of the circle is A = pi*r^2

A = 3.14 * (5)^2  

A = 25pi cm^2

To solve for the area of the shaded region:

Ashaded = Acircle - Atriangles

we need to solve for the area of the triangles:

A = 1/2 *b*h

A = 1/2 *6 * 5

A = 15 cm^2

Atriangles = 2 * 15  

Atriangles = 30 cm^2

Ashaded = 25pi - 30

Can someone please help me solve this

Answers

Answer:

[tex]m\angle1=75^{\circ}[/tex]

Step-by-step explanation:

Solution 1:

[tex]m\angle1[/tex] is formed by a point that is on the circle. The angle encompasses an arc of [tex]150^{\circ}[/tex] and thus the measure of the angle formed is [tex]\frac{150}{2}=\fbox{$75^{\circ}$}[/tex].

Solution 2:

Since [tex]\angle 1[/tex] is adjacent to a line and encompasses an arc, we can set up the following proportion:

[tex]\frac{150}{360}=\frac{m\angle 1}{180}[/tex]

Solving, we get [tex]m\angle 1=\fbox{$75^{\circ}$}[/tex].

rewrite 1/3 Barrel 2/3 hour as a unit rate
A. 4 1/2 Barrels/Hour
B. 2 barrels/hour
C. 2/9 barrel/hour
D. 1/2 barrel/hour

Answers

Answer:

c is correct answer is yes

Answer:

D. 1/2 barrel/hour

Step-by-step explanation:

A bell pepper has 3 grams of sugar per serving.
An apple has 18 grams of sugar per serving.

Which statement is true?




For an equal number of servings, the apples will have six times as much sugar.


There will always be more sugar in 10 servings of bell peppers than a smaller number of servings of apples.


For an equal number of servings, the apples will always have 15 more grams of sugar.


The amount of sugar in two servings of bell peppers is 36 grams.

Answers

Answer:

For an equal number of servings, the apples will have six times as much sugar.

Step-by-step explanation:

process of elimination. All the other answer choices are incorrect and this one checks out.

5y - 4x = -7
2y + 4x = 14
Solve the system of equation

Answers

Answer:

( 4 , 1 )

Step-by-step explanation:

when canceling out the y values and then adding the two functions together you get

7y = 7

dividing by seven you get y = 1

when plugging y = 1 into the first quation you get

5 - 4x = -7

subtract 5 from both sides

-4x = -12

divide both sides by negetive four

x = 3

then with plugging in y = 1 for the second equation you get

2 + 4x = 14

subtract 2 from both sides

4x = 12

divide both sides by 4

x = 3

you then check your answers and get the point of (4, 1) for your answer.

How do i find the slope-
20 points answer!
[imagine below included!]

Answers

Answer:

3/3 = 1

Step-by-step explanation:

The slope formula is..

Pick two formulas. Let's do (-5, -2) and (-2, 1)

x1  y1   x2 y2

(-5, -2)   (-2, 1)

[tex]\frac{1-(-2)}{-2-(-5)}[/tex]    =   [tex]\frac{3}{3}[/tex]  = 1

It'll work the same thing for (-2, 1) and (1,4)...

3/3 or 1 is a pattern between the points.

 

the perimeter of a rectangle id 34 units. Its width is 6.5 units. Write an equation to determine the length of the rectangle

Answers

P= L(W)
34= L(6.5)
then you go ahead and divide both sides by 6.5
so 34/6.5= 5.2
inconclusion: 5.231(6.5)= 34

Evaluate each expression if k = -3, 55 - k

Answers

Step-by-step explanation:

=55-k

=55-(-3)

=55+3

=58

hope it helps.

Answer:58

Step-by-step explanation:

=55-(-3)

=55+3

=58

If you found my answer useful than mark me brainliest.

An hourly worker whose wage is $15 per hour will be paid how much for an eight-hour shift?

Answers

Answer:

the answer is $120

Step-by-step explanation:

because I multiply 15 x 8 = 120 so the hourly worker will have $120 from an eight hour shift or else you can use a calculator too

The required wage for the eight-hour shift is $120.


An hourly worker whose wage is $15 per hour will be paid. How much for an eight-hour shift to be determined.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements.

Here,
$15 wage =  1 hour
Multiply both sides by 8
$15*8 = 1*8 hour
$120 = 8 hour

Thus, the required wage for the eight-hour shift is $120.


Learn more about arithmetic here:
brainly.com/question/14753192


#SPJ2

The Chandlers are moving across the country. Mr. Chandler leaves 4 hours before Mrs. Chandler. If he averages 70mph and she averages 80mph, how many hours will it take Mrs. Chandler to catch up to Mr. Chandler?

Answers

Answer:

It will take 28 hours for Mrs. Chandler to catch up with Mr. Chandler.

Step-by-step explanation:

Given that:

Speed of Mr. Chandler = 70 mph

Distance covered in 4 hours = 70 * 4 = 280 miles

Let,

h be the number of hours.

y be the total distance covered.

y = 70h + 280

Speed of Mrs. Chandler = 80 mph

y = 80h

For catching up, the distance would be same.

80h = 70h + 280

80h - 70h = 280

10h = 280

Dividing both sides by 10

[tex]\frac{10h}{10}=\frac{280}{10}\\h=28[/tex]

Hence,

It will take 28 hours for Mrs. Chandler to catch up with Mr. Chandler.

The sales tax of 8% on a purchase of $12 is

A. $0.86

B. $0.96

C. $1.06

D. $1.60​

Answers

The answer is B. $0.96 :))

Brian ordered a 12-inch pizza for him and some friends. They ate half of the pizza before they started
playing video games. Approximately how much of the pizza is left in the box?

A 38in2
B 57in2
C 113in2
D 144in2

Answers

Answer:

B

Step-by-step explanation:

What is cos 60°?
60
2
1
90'
309
3
O A.
O B. 2
С.
0
D.
OE.
E.
< PREVIOUS

Answers

Answer:

B but sorry 4 the time tho

The measure of the trigonometric relation cos 60° = 1/2

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the trigonometric relation be represented as A

Now , the value of A is

A = cos 60°

And , cos θ = adjacent / hypotenuse

So , cos 60° = 1/2

Hence , the measure of cos 60° = 1/2

To learn more about trigonometric relations click :

https://brainly.com/question/14746686

#SPJ7

These tiles represent the expression x + 7x + 2.
1
Х
X X X X X X X
1
Which expression is equivalent to x + 7x + 2?
8x + 2
8x + 9
10x
9x + 1

Answers

Answer:

the answer is A

Step-by-step explanation:

x + 7x + 2 = 8x + 2

I will give brainliest to whoever helps, I really need this. pls pls help! thanks!!

Answers

Answer:

[tex]\mathrm{1.}\; m=\mathrm{N/A};\: \mathrm{none}; \: x=14\\\mathrm{2.}\; m=0;\: (0,-5); \:y=-5\\\mathrm{3.}\; m=2;\:(0, -6); \: -2x+y=-6\\[/tex]

Step-by-step explanation:

Problem 1:

The slope of a vertical line is always undefined.The y-intercept of a line occurs when [tex]x=0[/tex]. In this line, [tex]x[/tex] is defined already as [tex]14[/tex] and therefore there is no y-intercept.The equation of a vertical line is [tex]x=n[/tex], where [tex]n[/tex] is some constant.

Problem 2:

The slope of a horizontal line is always [tex]0[/tex].The y-intercept of a line occurs when [tex]x=0[/tex]. In this line, [tex]y[/tex] is declared as 5 for [tex]x\in \mathrm{R}[/tex]. Therefore, the y-intercept is [tex](0, -5)[/tex].The equation of a horizontal line is [tex]y=n[/tex], where [tex]n[/tex] is some constant.

Problem 3:

The slope of a line given two points can be found using [tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/tex]. In this case, the slope is [tex]\frac{11-(-1)}{5-(-1)}=\frac{12}{6}=2[/tex].The y-intercept occurs when [tex]x=0[/tex]. Using the equation we found (refer below), plug in [tex]x=0[/tex] to get the y-coordinate of the y-intercept.In slope-intercept form, the equation of a line is written as [tex]y=mx+b[/tex]. Using [tex]m=2[/tex] and any coordinate this line passes through, we find the equation of this line to be [tex]y=2x-6[/tex]. Rearranging this in standard form ([tex]ax^2+bx+c[/tex]), we get [tex]-2x+y=-6[/tex].

Marking brainliest


Stefanie has 18 grams of 20% sugar syrup and john 30 of 25% if Stefanie and john mix the syrups together how many grams of sugar will they have?

Answers

Answer:

[tex]11.1\: \mathrm{g}[/tex]

Step-by-step explanation:

Stefanie's mixture of 18 grams has a 20% sugar content. Therefore, there are [tex]18\cdot 0.2=3.6[/tex] grams of sugar in her syrup.

John's mixture of 30 grams has a 25% sugar content. Therefore, there are [tex]30\cdot 0.25=7.5[/tex] grams of sugar in her syrup.

Therefore, if they mix their syrups together, there will be [tex]3.6+7.5=\fbox{11.1}[/tex]grams of sugar.

Answer:

I need this answer ASAP

Step-by-step explanation:

Help me please! 20 POINTS Im using all of mine please help!

Gerry visited a farm and saw a total of 87 chickens and pigs. If there were a total of 248 legs between all of these animals, how many animals were chickens and how many were pigs?
(System of Equations word problem)

Answers

There are 18 or 20 pigs if two had 1 missing leg

Step by Step explanation

Multiply the chickens by 2 or adding it by the same number since chickens have 2 legs

87

+87

-------

174

After, minus 174 from 248

That is 74

Divide by 4

The Quick Change Oil Company has a number of outlets in the metropolitan Seattle area. The daily number of oil changes at the Oak Street outlet in the past 20 days are:




65 98 55 62 79 59 51 90 72 56
70 62 66 80 94 79 63 73 71 85

The data are to be organized into a frequency distribution.



Click here for the Excel Data File



How many classes would you recommend?





Organize the number of oil changes into a frequency distribution. (Round "Relative frequency" answers to 2 decimal places.)

Answers

Answer: 5 classes.

Step-by-step explanation:

You can use the  rule to determine the number of classes for a frequency distribution.

The  rule says that  where

is the number of classes

is the number of the data points

We know that the number of data points is  = 20.

Next, we start searching for  so that we can get a number 2 to the  that is larger that the number of data points.

This suggests that you should use 5 classes.

Using first principal find the gradient of the curve whose equation is y=x^5. show working pleas​

Answers

Answer:

The gradient of [tex]y = x^{5}[/tex] is [tex]\frac{dy}{dx} = 5\cdot x^{4}[/tex].

Step-by-step explanation:

Geometrically speaking, the gradient of a curve is the slope of the tangent line at a given point of the curve. From perspective of Differential Calculus, the gradient is the first derivative of the curve. Let [tex]y = x^{5}[/tex], then the gradient of the curve is:

[tex]\frac{dy}{dx} = 5\cdot x^{4}[/tex] (1)

The gradient of [tex]y = x^{5}[/tex] is [tex]\frac{dy}{dx} = 5\cdot x^{4}[/tex].

Class 607 has 27 students: 14 students have
green eyes, 7 students have blue eyes, and 6 students have brown eyes:

Answers

Answer:

teal

Step-by-step explanation:

brown blue green and teal are the only eye colors out there

How many gallons of a 50​% antifreeze solution must be mixed with 80 gallons of 30​% antifreeze to get a mixture that is 40​% ​antifreeze? Use the​ six-step method.

You need ___ gallons.

Answers

I don't know what the "six-step method" is, but I do know how to solve the problem:

Let x = number of gallons of 50% solution

amount of antifreeze in 50% solution = 0.50x
amount of antifreeze in 10% solution = 0.10(80) = 8
amount of 40% solution = 0.40(x+80) = 0.40x + 32

Then, 0.50x + 8 = 0.40x + 32

0.10x = 24

x = 240 gal

Write the rule for the transformation.

Answers

How to write a rule for Transformation, hope this will help you

Here is an example,
Original Coordinates:
S (-5,3)
X (-4,-2)
U (-2,-1)

New"moved" coordinates:
S(5,-3)
X (4,2)
U (2,1)

Just answer Number 5, I got the rest.

Any spam will be reported/deleted.

Answers

Answer:

30

Step-by-step explanation:

so one of them is 90, one of them is 60

180-150 = 30

so 30

How many 1/8 are in 1 and 1/4
WRITE YOUR ANSWER AS A FRACTION NOT A MIXED NUMBER!!
PUt correct answer too please

Answers

Answer:

There are 8 - 1/8's in 1 (as, 8×1/8=1); and

There are 2 - 1/8's in 1/4 (as, 2×1/8=1/4).

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