Will plays a game at a theme park.
There are 20 cards numbered from 1 to 20.
Will takes a card at random.
He wins if the card he chooses shows a prime number.
Work out the probability that Will wins.
Give your answer as a fraction in its simplest form.

Answers

Answer 1

Answer:

find prime numbers between 1-20:

= 2,3,5,7,11,13,17,19

=8 prime numbers

probability of winning = 8/20=2/5

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Related Questions

PLEASE help! 20 points!
There is a 6% sales tax on your clothing purchase.
You pay $1.80 in tax.
What is the total amount you pay?

Answers

well, the amount paid was "x", which oddly enough is 100%, but we also know that 6% of that is $1.80, so

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 1.80& 6 \end{array} \implies \cfrac{x}{1.80}~~=~~\cfrac{100}{6} \implies 6x=180\implies x=\cfrac{180}{6}\implies x=30[/tex]

a foot ball team lost 4 yards, lost 3 yards and then gained 10 yards in three subsequent plays. what was their net change in yards after those three plays
PLISS HELP

Answers

1) List the clues

-4-3+10

2) Solve

-4-3+10
+3

Their net change is +3 yards

Solve the exponential equation
4^x = 7(3^x)

Answers

The solution to the given exponential equation is; x = 6.48

What is the solution to the exponential equation?

We want to solve the exponential equation;

4^(x) = 7 - (3^x)

We can use logarithm or inverse of logarithm to solve this but in this case we will use the logarithm to get;

x log 4 = 7 - (x log 3)

x log 4 + x log 3 = 7

x(log 4 + log 3) = 7

1.08x = 7

x = 7/1.08

x = 6.48

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What is the solution to |2x - 8| ≤ 6?

Answers

Answer:[1,7]Step-by-step explanation: Write |2x8|6 as piecewise.{2x86x42x+86x<4Solve 2x86 when x4.4x7Solve 2x+86 when x<4.1x<4Find the union of the solutions.1x7The result can be shown in multiple forms.Inequality Form:1x7Interval Notation:[1,7]

A cat can jump eight times as high as it is tall. How high could a cat jump if it is 5.6 inches tall?

Answers

Answer:

44.8 inches

Step-by-step explanation:

5.6x8

need to write something to let me answer

Answer:

44.8 inches

Step-by-step explanation:

Hope this helps

Evaluate a/b if a=-48 and b = 6

Answers

Answer:

-8

Step-by-step explanation:

A= - 48

B= 6

-48/6

= 8

Negative x Negative = Positive

Negative x Positive = Negative

Positive + Positive = Positive

-48 divided by 6 would be -8

Find a point-slope form for the line with slope = 1/5 and passing through the point
(- 6, -7).

The equation of the line in point-slope form is…

Answers

Answer:

y+5 = 1/5 (x+6)

Step-by-step explanation:

The point slope form looks like this.

y - y1 = m (x - x1)

the m represent slope and (x1, y1) are the coordinates of the point that the line passes through.

The necklace is priced $85. You have a 15% discount and tax is 6%. What
will your final price be?

Answers

Find price after discount
85 x .15 = 12.75
85 - 12.75 = 72. 25
Add tax to that discounted price
72.25 x .06 = 4.335
72.25 + 4.335 = 76.585
Round
76.59

Mary lives between points (3,-1) and (7,5) on Duval street. Val lives between points (2,15) and (-6,3) on Braxton lane. Are duval st and Braxton lane parallel or perpendicular

Answers

Duval Street between latitudes (3,1) and (7,5). Val resides between coordinates (2, 15) and (-6, 3). Braxton Lane and Duval Street are not parallel or perpendicular.

Given that,

Mary resides on Duval Street between latitudes (3,1) and (7,5). On Braxton Lane, Val resides between coordinates (2, 15) and (-6, 3).

We have to find is Braxton Lane and Duval Street parallel or perpendicular.

To find the lines are parallel or perpendicular we have to find the slope of those points.

If slopes are equal then the lines are parallel.

If slopes are negative reciprocal then the lines are perpendicular.

We find the slope of Mary resides on Duval Street between latitudes (3,1) and (7,5).

m₁=[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

m₁=[tex]\frac{5 -1 }{7-3 }[/tex]

m₁=4/4

m₁=1

The slope of the Mary resides on Duval Street between latitudes (3,1) and (7,5) is 1.

We find the slope of Braxton Lane, Val resides between coordinates (2, 15) and (-6, 3).

m₂=[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

m₂=[tex]\frac{3 -15 }{-6-2 }[/tex]

m₂=-12/-8

m₂=3/2

The slope of the Braxton Lane, Val resides between coordinates (2, 15) and (-6, 3) is 3/2.

m₁≠m₂

Therefore, Braxton Lane and Duval Street are not parallel or perpendicular.

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What are precise definitions of perpendicular and parallel lines

Answers

Answer:

Perpendicular lines: When a line intersects another line at exact 90 degrees the lines are said to be perpendicular to each other.

Parallel lines: When two lines are formed such that the two lines are never intersecting and no angle is formed is known as parallel lines.

I dont know what im doing Help Meeee

Answers

Answer:

the x = 0  and y = 1

so start off at the zero on the x-axis, and move up to the 1 on the y- axis

you got it, just remember that the x value is always first and is always horizontal on the coordinate plane and the y value is always the second number and vertical

wHAT IS THE ANSWER OF THIS? the correct answer will be marked brainliest

Answers

A = 7
B = pi , 5/9
Neither (outside both circles) = 2 x square root of 8 , 9.3

Round 0.699 to the nearest hundredth.

Answers

Answer 0.699 to the nearest hundredth which is 9 and equal or more to 5

Answer: 0.700

0.699 is the closest to 0.700, the hundredth would go up by one creating 0.700 hope this helps

A recipe calls for 3/4 of a pound of flour to make 1 batch of cookies. how many batches of cookies can be made with 5 pounds of flour? include parts of the batch in the answer.

Answers

Answer:

20/3 batches of cookies can be made with 5 pounds of flour.

Step-by-step explanation:

given-

A recipe calls for 3/4 of a pound of flour to make 1 batch of cookies

asking-how many batches of cookies can be made with 5 pounds of flour

3/4 pound of flour=> 1 batch of cookies

then,

1 pound of flour=> 4/3 batch of cookies

so, required answer---

5 pound of flour=>5*( 4/3) batch of cookies

  =>20/3=6.66  batch of cookies

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Why is triangle DFC congruent to triangle AEB?

Answers

By  Side - Angle - Side congruency (SAS) rule, ΔDFC is congruent to ΔAEB as shown below.

What are Congruent triangles?

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.

Given is a geometrical diagram as shown in the image.

We can prove ΔDFC ΔAEB as follows -

AE = CF       [Given]

Add length EF on both sides of the equation, we get

AE = CF                                   ...[1]

∠ 1 = ∠ 2             [Given]                  ...[2]

Given is ∠ 1 = ∠ 2. Than the tangent of both angles will be same. On solving the tangent ratio, we get -

BE = FD                  ...[3]

From equation 1, 2 and 3, we can say that

ΔDFC ≅ ΔAEB

Therefore, by Side - Angle - Side congruency (SAS) rule, ΔDFC is congruent to ΔAEB.

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–2.29(d + 1) = –6.87

Answers

Solution:

Isolate the variable by dividing each side by factors that don't contain the variable.

[tex]-2.29(d+1)=-6.87[/tex]

[tex]d=2[/tex]

^Hence, our solution

________________________________________________

Hope this helps!

Why is diffusion considered a form of passive transport?
Responses

It requires no energy from the cell.
It requires no energy from the cell.

It's a process that occurs automatically.
It's a process that occurs automatically.

It has no effect on the health of the cell.
It has no effect on the health of the cell.

It's carried out while the cell does other things.

Answers

Answer:

It requires no energy from the cell.

Step-by-step explanation:

The graph of y = 2x^2 - 8x + 7 is identical to the graph of y = a(x-h)^2 + k$ for some real numbers $a, h, k$.

What is the value of $k$?

Answers

The form:

y = a(x-h)^2 + k

Is the vertex form of the quadratic equation, by finding the vertex, we conclude that k = -1.

How to get the value of k?

For any quadratic equation of the form:

y = a*x^2 + b*x + c

With a vertex (h, k), we can rewrite the equation as:

y = a*(x - h)^2 + k

And the value h of the vertex is given by:

h = -b/(2a)

In this case, the quadratic equation is:

y = 2x^2 - 8x + 7

Then the value h of the vertex is:

h = -(-8)/(2*2) = 2

Evaluating the quadratic equation in x = 2 we will get the value of k, so we have.

y = 2*(2)^2 - 8*2 + 7 = -1

Then the vertex is (2, -1), which means that the value of K is -1.

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can anybody help me the process on how to convert fractions into decimals and decimals
into fractions.​

Answers

Fractions into Decimals-

15/5 = 3

Decimals into Fractions-

0.5 = 5/10

How to convert fractions into decimals and decimals into fractions ?

Place the decimal number above its place value to convert it to a fraction.

For instance, since the number six is in the tenths place in the fraction 0.6, we multiply it by 10 and get the comparable fraction 6/10.

Simplify the fraction if necessary.

The division is shown by the fractional bar between the "part" and the "whole."

By dividing the numerator by the denominator, any fractions can be transformed into decimals.

For instance, the fraction 45 denotes the ratio of 4 to 5, or 4/5.

By dividing 4 by 5, this fraction can be changed into a decimal.

Fractions into Decimals-

15/5 = 3

Decimals into Fractions-

0.5 = 5/10

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3. What is the next term in the sequence?
243, 81, 27,9,...
O
O
-3
O
-9
O`
3

Answers

The next term would be 3 then 1 in the sequence 243, 81, 27, 9,... by the term of sequence and series through mathematical sequencing.

What are a series and a sequence?

A grouping of numbers in a kind of a specific order is known as a sequence. On the other hand, a series can also be described as the accumulation of a kind of a sequence’s constituent parts.

Basically, the sequence proceeds with a dividing term of 3. The sequence will go on with the square root of the previous number. Basically, from backward, the sequence is an exponential multiple of 3.

What do the terms sequence and series mean?

Mathematical sequence and series formulas pertain to several kinds of sequences and series. A series is the accumulation of elements in a sequence, which is a group of arranged elements that follow a pattern.

The formulas for the nth term and the sum are typically included in the sequence and series formulas.

What distinguishes serial from sequential data?

A series is made up of all the elements in a sequence, while a sequence is a certain arrangement of elements in a specific order.

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x+1 2/3 =2 3/8 what is x

Answers

Answer:

X=17/24

Step-by-step explanation:

first you need to find common denominators. To find it, you would multiply the denominator of the 1 2/3 and the 2 3/8.8*3=24, which means the denominator is 24. For 1 2/3, we multiplied 3*8 so we also have to do it for 2. The new equation is x+1 16/24=2 3/8. But remember, we still have to multiply 8*3, which means we have to multiply 3*3 too.

New equation:x+1 16/24=2 9/24

Now we can subtract 1 16/24 from each side

X=17/24

5x4 6/11 give your answer in simplest form

Answers

The answer in simplest form is [tex]20\frac{30}{11}[/tex] .

What is fraction in simplest form?When the numerator (top) and denominator (bottom) of the fraction do not have any common factors, the fraction is said to be in its simplest form. When the top and bottom of a fraction are whole numbers that are coprime to one another, the fraction is said to be in its simplest form.Any fraction can be easily found in its simplest form. By dividing both the numerator and denominator by the greatest common factor that entirely divides them, we need to simplify the fraction's numerator and denominator. Both the numerator and the denominator should still be whole numbers after division. Reducing fractions is another name for this process of simplifying fractions.

Given fraction is [tex]5*4\frac{6}{11}[/tex].

So we convert the mixed fraction into an improper fraction to calculate further.

[tex]4\frac{6}{11} =\frac{50}{11}[/tex]

Next, we calculate the above fraction given in the question

[tex]5*\frac{50}{11}[/tex] = [tex]\frac{250}{11}[/tex]

So now we convert obtained improper fraction to mixed fraction which is its simplest form,

[tex]\frac{250}{11} = 20\frac{30}{11}[/tex]

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is 5 square root-2 square root rational?

Answers

5 square root - 2 square root is 0.821854415 and it is rational.

Given,

5 square root - 2 square root

That is,

√5 - √2

We have to find this is rational or not.

First we have to solve the equation:

√5 - √2 = 0.821854415

Irrational numbers cannot be stated as a fraction, although rational numbers can be expressed as ratios (such as P/Q and Q0). However, both of the numbers are genuine and can be shown on a number line.

So, here 0.821854415 is a rational number.

That is, 5 square root - 2 square root is  rational.

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What is the zero of the function represented by this graph?​

Answers

Answer:

Correct answer should be x= -6

Step-by-step explanation:

prove me wrong

Round 387.869911589 to 3 decimal places.
\Big(\frac{1}{6}-0.5\Big) \div\frac{5}{11}
(
6
1

−0.5)÷
11
5

Answers

387.869911589 to 3 decimal places is 387.870.

What is the number rounded to 3 decimal places

A decimal is a number that is made up of integers and non-integers. The integers are separated from the non-integers by a decimal point.

In order to round off a number to 3 decimal places, there must be 2 numbers to the right of the decimal point.

In order to round off a number to 3 decimal places, if the ten thousandth figure is equal to five or greater than 5, one is added to the thousandth figure. If the ten thousandth figure is less than 5, there is no change in the thousandth digit.

The ten thousandth is greater than 9, so one is added to the thousandth digit. The number becomes 387. 870

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a function is graphed below. on which interval of c is the average rate of change of the function the greatest?

1. x=0 to x=2
2. x=12 to x=18
3. x=2 to x=12
4. x=18 to x=24

Answers

The correct answer is goin to be number 4

Algebraic Identity help

Answers

In the picture, the polynomial equation is (3x-k)². The values of k=4 and p=-24.

Given that,

In the picture, the polynomial equation is (3x-k)²

We have to find the k value and p value if (3x-k)²=9x²+px+16

Polynomial means polynomial is formed composed of the phrases Nominal, which means "terms," and Poly, which means "many." An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable). The expression is divided into three categories: monomial, binomial, and trinomial depending on how many terms are included in it.

We get,

(3x-k)²=9x²+px+16

9x²-6xk+k²=9x²+px+16

We get,

p=-6k and k²=16

k²=16

k=4

Substitute in p=-6k

p=-6×4

p=-24

Therefore, the values of k=4 and p=-24.

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[5*(54-:6-3)]+6*2-60
i need help?

Answers

Answer:

177

Step-by-step explanation:

5(54 − 6 − 3) + (6)(2) − 60

= 177

six tickets to a movie cost $76.50. What constant of proportionality relates the number of tickets and total cost?

Answers

The constant of proportionality is 12.75

The constant of proportionality is the ratio of the constant values of two proportional quantities.

Two changing values are said to be in proportion when either their ratio or product results in a constant. The proportionality constant's value is determined by the Direct Variation and Inverse Variation types of proportions between the two supplied values.The direct proportionality equation, y = kx, shows that when x increases, y increases at the same rate. As an illustration, y x stands for the cost per item(y), which is inversely related to the quantity of items(x) bought.The indirect proportionality equation, y = k/x, shows that when y increases, x decreases, and vice versa.

The direct variation is given by y = k x where k is the constant of proportionality.

Now the cost of 6 tickets is $76.50

76.50 = k × 6

or, k = 12.75

Therefore the constant of proportionality is 12.75

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In the given triangle, prove that
[tex] \frac{1}{ {ab}^{2} } + \frac{1}{ {ac}^{2} } = \frac{1}{ {ad}^{2} } [/tex]

Answers

Answer:

. .........................

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