A single card is drawn at random from a standard 52 card deck.
Work out in its simplest form:
P(10)
=

P(not 10)
=

Answers

Answer 1

There are four 10 cards in the deck, so P(10) = 4/52 = 1/13

P(not 10) = 1 - P(10). This is because the maximum probability is 1, and the card you draw will either be 10, or not a 10.

P(not 10) = 1 - 1/13 = 13/13 - 1/13 = 12/13


Related Questions

Help im still lazy lol

Answers

Answer:

t= -105

Step-by-step explanation:

To solve the equation, we want to find out what t is. In order to do this, we have to get t by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

-1/15t=7

t is being multiplied by -1/15. The opposite of multiplication is division. Divide both sides by -1/15.

-1/15t/-1/15=7/ -1/15

t=7/ -1/15

Instead of dividing a number by a fraction, you can multiply the number by the reciprocal of the fraction.

To find the reciprocal, flip the numerator (top number) and denominator (bottom number).

-1/15--flip--> -15/1=-15

Substitute -15 in for -1/15, and switch the division sign to a multiplication sign.

t= 7* -15

t=-105

Let's check out solution. Plug -105 back in for t in the original equation.

-1/15t=7

-1/15*-105=7

7=7

Both sides are the same, so we know that t=-105.

Answer:

t=-105

Step-by-step explanation:

[tex]-\frac{1}{15} t =7[/tex]

What we need to do here is to isolate t.

Let's multiply both sides by -15.

[tex]-\frac{1}{15}t * -15 = 1t[/tex]

7*-15= -105

t=-105

identify the expression as a numerical expression or a variable expression.For variable expression, name the variable 1×12​

Answers

Answer:

o7 fy hk hpxi oyli ifuod pir8

The distance around the edge of a circular pond is 88 m. The radius, in
metres. 19​

Answers

Answer:

14

Step-by-step explanation:

look at the other answer as the person is taking a very long time to write it

Answer: radius = 14.01 m

Step-by-step explanation:

Circumference = 2πr

88 = 2πr

r = 88/2π = 14.01m

please help i don’t understand what so ever

Answers

Answer:

x=6

Step-by-step explanation:

Because of the Pythagorean theorem, you know that the square of the two legs of a right triangle will be equal to the square of the hypotenuse. Conversely, the square of one of the legs will be equal to the square of the other leg subtracted from the square of the hypotenuse. Therefore:

[tex]x^2=10^2-8^2 \\\\x^2=100-64\\\\x^2=36\\\\x=6[/tex]

Hope this helps!

Answer:

6

Step-by-step explanation:

By Pythagoras theorem

10^2 = 8^2 + x^2

100= 64 + x^2

X^2 =100-64

X^2= 36

[tex]x = \sqrt{36} \\ x = 6[/tex]

Hope this helps..

Find all missing angles.

Answers

Answer:  

m<1 = 51

m<2 = 34

m<3 = 95

m<4 = 38

m<5 = 47

m<6 = 74

m<7 = 59

Step-by-step explanation: because to get angle 1 you take 180 (because its is a straight line) and subtract the angle 129 giving you m<1 witch is 51. the second one is 180 - (m<1 + 95) =m<2 witch is 34 so m<2 = 34. third is the angle 95 because the lines that intersect give equal opposite angles so m<3 = 95. Four is 180 - (m<3 + 47) =m<4 witch is 38. fifth is opposite angle so it is 47. sixth is m<5 +m<6 + m<7 = 180 so m<5 is 47 and we can find m>7 by subtracting from 180 the angle 121 giving us m<7 = 59 so we will add m<5 and m<7 and subtract from 180 giving us m<6 witch is 74.    

I WILL MARK BRAINLIST!! HURRY HELP!! PEASE THANK YOUU

A rectangle has an area of 345 square millimeters and a base of 15 millimeters. What is the height?

Answers

Given that a rectangle has an area of 345 square millimeters and a base of 15 millimeters, find the height.

Area of a Rectangle = b x h

So, to find the height, we would reverse it by dividing the area by the base.

Work:

345/15 = 23

So, 23 would be our height.

Thus, the height of the rectangle is 23 millimeters.

Answer:

23 millimeters

Step-by-step explanation:

The area of a rectangle can be found using the following formula.

a=b*h

We know that the area is 345 square millimeters and the base is 15 millimeters, but we don't know that the height is.

a=345

b=15

Substitute these variables into the formula.

345=15*h

We want to find out what the height, or h is.  In order to do this, we have to get h by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

h is being multiplied by 15. The opposite of multiplication is division, so divide both sides by 15.

345/15=15*h/15

345/15=h

23=h

Add appropriate units. In this case, the units are millimeters.

h=23 millimeters

The height of the rectangle is 23 millimeters.

To eliminate the y-terms and solve for x in the fewest steps, by which constants should the equations be multiplied by before
adding the equations together?
First Equation: 5x - 4y = 28
Second equation: 3x - 3y = 30
The first equation should be multiplied by 3 and the second equation by 5.
The first equation should be multiplied by 3 and the Second equation by -5.
The first equation should be multiplied by 9 and the second equation by 4
The first equation should be multiplied by 9 and the second equation by -4.
Mark this and retum
Save and Exit
Next
Submit

Answers

Answer:

To eliminate y- terms

Multiply equ(1) by 3 and equ(2) by -4

To eliminate y- terms

Multiply (1) by 3 and (2) by -5

Step-by-step explanation:

5x - 4y = 28 (1)

3x - 3y = 30 (2)

To eliminate y- terms

Multiply equ(1) by 3 and equ(2) by -4

15x-12y=84

-12x+12y= -120

Add equ (3) and (4)

3x=84-120

3x=-36

x=-36/3

= -12

x=-12

To eliminate x- terms

5x-4y=28

3x-3y=30

Multiply (1) by 3 and (2) by -5

15x-12y=84

-15x+15y=-150

Add the new equation

3y= -66

y= -22

what is the midpoint of the segment shown below (-6,-2) (-1,5)

Answers

Answer:

(-3.5,2.5)

Step-by-step explanation:

[tex]m=\left( \dfrac{-6+-1}{2},\dfrac{-2+5}{2} \right)=\left( \dfrac{-7}{2},\dfrac{3}{2}\right)=\left( -3.5,2.5 \right)[/tex]

Hope this helps!

Using the order of operations, what should be done first when evaluating this expression?
-1/2 divided by 2(9+3)-4-3/4(8)

Answers

Answer:

[tex]-\frac{16}{17}\\-0.94117[/tex]

Step-by-step explanation:

[tex]\frac{-\frac{1}{2}}{\frac{2\left(9+3\right)-4-3}{4\left(8\right)}}\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=\frac{-\frac{1}{2}}{\frac{2\left(9+3\right)-4-3}{4\cdot \:8}}\\\frac{2\left(9+3\right)-4-3}{4\cdot \:8}=\frac{17}{32}\\\frac{2\left(9+3\right)-4-3}{4\cdot \:8}\\2\left(9+3\right)-4-3=17\\2\left(9+3\right)-4-3\\2\left(9+3\right)=24\\2\left(9+3\right)\\\mathrm{Add\:the\:numbers:}\:9+3=12\\=2\cdot \:12\\\mathrm{Multiply\:the\:numbers:}\:2\cdot \:12=24\\=24-4-3[/tex]

[tex]\mathrm{Subtract\:the\:numbers:}\:24-4-3=17\\=\frac{17}{4\cdot \:8}\\\mathrm{Multiply\:the\:numbers:}\:4\cdot \:8=32\\=\frac{17}{32}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}\\=-\frac{\frac{1}{2}}{\frac{17}{32}}\\\mathrm{Divide\:fractions}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}\\=-\frac{1\cdot \:32}{2\cdot \:17}\\Refine\\=-\frac{32}{2\cdot \:17}\\\mathrm{Multiply\:the\:numbers:}\:2\cdot \:17=34\\=-\frac{32}{34}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:2\\=-\frac{16}{17}\\\mathrm{Decimal:\quad }\:-0.94117[/tex]

Please answer. will mark brainliest.

Answers

Answer:

See explanation

Step-by-step explanation:

Line A

gradient = 4

x-intercept = -1

y-intercept = 4

Line B

gradient = -3

x-intercept = -1

y-intercept = -3

y + 8x = - 72

x-intercept = -9

y-intercept = -72

Help me, please with question A and B I have not been taught this topic yet

Answers

Answer:

The triangle's area is 12 square units.

Step-by-step explanation:

We start by drawing the requested points A = (-4, -3) and B = (0, -3), which we notice are located horizontally on the line of y = -3 and separated 4 units from each other (see red dots in the attached image).

Then we look for a point over the line y = 3 that is equidistant from points A and B (so we place it at the point (-2, 3)) and name it "C".

Now, the triangle ABC defined by the three points has base = 4 units, and height = 6 units (from the line y = -3 to the line y = 3).

Then recall that the area of a triangle is defined by the product of the triangle's base times its height, divided by two:

[tex]Area=\frac{base\,*\,height}{2} \\Area=\frac{4\,*\,6}{2} \\Area = 12[/tex]

So the triangle's area is 12 square units.

NEED HELP ASAP!!
WILL GIVE BRAINILESS!!

Attached the work need all questions to be done x

Answers

Answer:

i) 2x² + 4x + 7x + 14

= 2x² + 11x + 14

ii) 2x² - 5x - 12x + 30

= 2x² - 17x + 30

Simplify
(2 Points)
2a xa x 3a + b x 45

Answers

Answer:

[tex]6a^3+45b[/tex]

Step-by-step explanation:

[tex]2a\times a\times 3a+b\times 45[/tex]

[tex]2a\times 1a\times 3a+b\times 45[/tex]

[tex]2\times 1\times 3 \times a \times a \times a+b\times 45[/tex]

[tex]6a^3+b \times45[/tex]

[tex]=6a^3+45b[/tex]

Answer:

6a^3 + 45b

Step-by-step explanation:

=2a × a × 3a + b × 45

=2a × 1a × 3a + b × 45

=2 × 1 × 3 × a × a × a + b × 45

=6a^3 + b × 45

= 6a^3 + 45b

HELPP I don’t get this at all. I originally got c but my teacher said it was incorrect. This is about volume and cylinders. Explanation needed

Answers

Answer:

B

Step-by-step explanation:

The x term is 1 in all the pairs this would form a horizontal line (x=1)

Answer: C) ((-2,7), (0,12), (1,4), (1,5)

Step-by-step explanation: An ordered pair will usually have a pattern that'll repersent a linear function. Out of all of the options only C as a constant pattern.

I hope this helps!

ASAP! The graph of an exponential model in the form y = a ⋅ bx passes through the points (1, 10) and (2, 20). Which point is also located on the graph? a) (0,0) b) (0,5) c) (3,30) d) (2,20)

Answers

Answer:

b

Step-by-step explanation:

Because y increases by a factor of 2 every time x goes up by 1, the opposite happens when x decreases by 1. This means that when x = 0, y = 5 so the answer is b.

Applying the points and finding the equation, it is found that point (0,5) is also on the graph, option b.

The exponential equation has the following format:

[tex]y = ab^x[/tex]

Point (1,10) means that when [tex]x = 1, y = 10[/tex], thus:

[tex]ab = 10[/tex]

Point (2,20) means that when [tex]x = 2, y = 20[/tex], thus:

[tex]ab^2 = 20[/tex]

From the first equation:

[tex]a = \frac{10}{b}[/tex]

Replacing on the second:

[tex]\frac{10}{b}b^2 = 20[/tex]

[tex]10b = 20[/tex]

[tex]b = \frac{20}{10}[/tex]

[tex]b = 2[/tex]

So

[tex]a = \frac{10}{b} = \frac{10}{2} = 5[/tex]

Then, the equation is:

[tex]y = 5(2)^x[/tex]

When [tex]x = 0, y = 5(2)^0 = 5[/tex], thus point (0,5) is also on the graph, which means that option b is correct.

A similar problem is given at https://brainly.com/question/14773454

help please and thank you
What is the y intercept of the function f(x)= -2/9x + 1/3?

Answers

Answer:

1/3

Step-by-step explanation:

plug in 0 for x

0 * anything = 0 (cancels out the -2/9) and you're left with 1/3

In the diagram of circle O, what is the measure of ? 27° 54° 108° 120°

Answers

Answer:

Option (2).

Step-by-step explanation:

This question is incomplete; here is the complete question and find the figure attached.

In the diagram of a circle O, what is the measure of ∠ABC?

27°

54°

108°

120°

m(minor arc [tex]\widehat {AC}[/tex]) = 126°

m(major arc [tex]\widehat {AC}[/tex]) = 234°

By the intersecting tangents theorem,

If the two tangents of a circle intersect each other outside the circle, measure of angle formed between them is half the difference of the measures of the intercepted arcs.

m∠ABC = [tex]\frac{1}{2}[m(\text {major arc{AC})}-m(\text{minor arc} {AC})][/tex]

             = [tex]\frac{1}{2}(234-126)[/tex]

             = 54°

Therefore, Option (2) will be the answer.

Answer:

B.

Step-by-step explanation:

Select the correct answer.

Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x - 11)?
A. It is the graph of f(x) translated 11 units up
B It is the graph of f(x) translated 11 units to the left
C It is the graph of f(x) where the slope is increased by 11
D It is the graph of f(x) translated 11 units to the right

Answers

Step-by-step explanation:

I think A

I hope it will help

Deon has to buy all the butter she needs to make 60 biscuits. She buys the butter in 250 g packs. (b) How many packs of butter does Deon need to buy?

Answers

Answer:

200g of sugar, 600g of flour, 400g of butter

Step-by-step explanation:

50g sugar = 15 biscuits

3 x 50g = flour --) 150g = flour

2 x 50g = butter --) 100g = butter

60/15 = 4; 4 times as much

4 x 50g = 200g of sugar

4 x 150g = 600g of flour

4 x 100g = 400g of butter

                                                                                                           

                                                                                                       

Consider this quadratic equation.

x2 + 2x + 7 = 21

The number of positive solutions to this equation is
_____.

The approximate value of the greatest solution to the equation, rounded to the nearest hundredth, is
_____.

Answers

Step-by-step explanation:

work is shown and pictured

what is the value of x?

Answers

Answer:

60

Step-by-step explanation:

60 times 2 is 120 plus 24 is 144

60°

(2x+24)=144 (vertically opposite angles equal)

Continue to solve for x

plz can someone help me with this plzz​

Answers

Answer:

p: 42

a: 82.16

Step-by-step explanation:

For perimeter, add all the sides together

For area, multiple the longer side by the shorter side

Find the largest value of x that satisfies the equation |5x − 1| = x + 3.

Answers

Answer:

1

Step-by-step explanation:

Since you are going for the largest value of x that satisfies the equation, you don't need to worry about negative numbers, and therefore don't need to worry about the absolute value.

5x-1=x+3

5x=x+4

4x=4

x=1

Hope this helps!

2 Points
Which unit of measure would be appropriate for the volume of a sphere with a
radius of 2 meters?
A. Square meters
B. Centimeters
C. Meters
D. Cubic meters
SUBMIT

Answers

Answer:

D. Cubic meters

Explanation:

Anytime you see a question asking about volume, the units will always have cubic in it.

Answer:

D

Step-by-step explanation:

For the volume of a sphere with radius of 2 meters, Since here, the unit is "meters", so the volume of this sphere would be in cubic metres.


[tex] - \frac{1}{2} x > 4[/tex]

Answers

Answer:

x< -8

Step-by-step explanation:

To solve the inequality, we must get x isolated.

-1/2x>4

We have to perform the inverse operation to both sides. x is being multiplied by -1/2. The inverse of multiplication is division. Divide both sides by -1/2.

-1/2x / -1/2 > 4/ -1/2

When dividing by fraction, you can also multiply by the reciprocal.

To find the reciprocal, flip the numerator and the denominator.

-1/2–> -2/1

-2/1 *-1/2x > 4* -2/1

x> 4* -2/1

When multiplying or dividing by a negative number in an inequality, you must flip the inequality sign.

x < 4* -2/1

x < 4*-2

x< -8

How many square roots is the area ?

Answers

I think their 5 but I’m not sure

13 is 23 less than 15 times a number

Answers

Answer:

13 = 15(x) - 23

x = 12/5 or 2 2/5

What is the slope-intercept for Y-5 =-3x+2

Answers

Answer:

-5/3

Step-by-step explanation:

CAN SOMEONE HELP ON MY LAST QUESTION PLZZZ

Answers

Which question are you talking about? I mean that why is there no attachment / image of your question? How do we know what is the question?So could you pls complete your question? :)

Answer:

(1, - 12 )

Step-by-step explanation:

Given the graph of f(x) then f(x) + c represents a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Thus f(x) - 4 represents a shift down of 4 units, that is

(1, - -8 ) → (1, - 8 - 4 ) → (1, - 12 )

How do I complete this formal check?

Answers

Answer:

Step-by-step explanation:

The first two steps are for the purpose of eliminating fractions.  Doing so results in 4(2x - 5) = 9(x - 2), which is to be solved for x.

Perform the indicated multiplication, obtaining:

8x - 20 = 9x - 18.

Then combine like terms:  -2 = x, or

x = -2.

To complete the formal check, substitute -2 for x in the first equation.  This results in:

(1/3)(-4 - 5) = (3/4)(-2 -2), or

        -3       =        -3

... which is obviously true.  

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