Solve for the value of p

Answer:

[tex]\frac{10}{56} = 0.1786[/tex] probability that Shaun loses both games

Step-by-step explanation:

Games are independent, so we find each separate probability, and multiply them.

In a chess club the probability that Shaun will beat Mike is 3/8.

So [tex]1 - \frac{3}{8} = \frac{8}{8} - \frac{3}{8} = \frac{5}{8}[/tex] probability that Shaun loses.

The probability that Shaun will beat Tim is 5/7 .

So [tex]1 - \frac{5}{7} = \frac{2}{7}[/tex] probability that Shaun loses.

What is the probability that Shaun loses both games?

This is:

[tex]p = \frac{5}{8} \times \frac{2}{7} = \frac{5*2}{8*7} = \frac{10}{56} = 0.1786[/tex]

[tex]\frac{10}{56} = 0.1786[/tex] probability that Shaun loses both games

The equation is x² + y² = 277 and the value of x and y is 9 and 14 respectively

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the two number be x and y

One integer is 5 less than another

So , x = y - 5  

x - y = -5   be equation (1)

And , sum of their squares is 277

So , x² + y² = 277   be equation (2)

On simplifying the equation , we get

( x - y )² = x² + y² - 2xy

Substituting the values in the equation , we get

( -5 )² = 277 - 2xy

2xy = 277 - 25

2xy = 252

And , ( x + y )² = x² + y² + 2xy

Substituting the values in the equation , we get

( x + y )² = 277 + 252

( x + y )² = 529

( x + y ) = 23   be equation (3)

Adding equation (1) and equation (3) , we get

2x = 18

x = 9

So , y = 14

Therefore , the value of x and y is 9 and 14 respectively

Hence , the equations are solved

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Answer:

- 4s - q + r

Step-by-step explanation:

that's right. You do not put the p since 3p and -3p cancel out to give zero. I'll solve the question for you:-

⇒3p-3p+2s-6s+2q-3q+8r-7r

add or subtract the like terms(terms having same variables), then out of the two like terms, put the sign of the greater number, for e.g. 2q-3q = -1q

⇒0 - 4s - 1q + 1r

⇒- 4s - q + r Answer

hope that helps...

Answer:

The expression is x + 3 or 3 + x

Step-by-step explanation:

Answer:

The answer is 3>x or x<3

Step-by-step explanation:

hope this helps

Answer:

Pretty sure its 4/5

Step-by-step explanation:

Ratio is 20:25 simply it by dividing 5 its 4:5 then as a fraction it's 4/5

Answer:

and do you know the answer to this one

Answer:

g

Step-by-step explanation:

3x+1<2+4x

-1<x

Answer:

x > -1

Step-by-step explanation:

3x + 1 < 2 + 4x

-x < 1

x > -1

Answer:

28

Step-by-step explanation:

Area of a rectangle = width times length therefore the equation is 7 times 4 = 28.

Answer:

In geometry, a polygon can be defined as a flat or

plane, two-dimensional closed shape bounded with

straight sides. It does not have curved sides. The

sides of a polygon are also called its edges. The

points where two sides meet are the vertices (or

corners) of a polygon

1. polygon with four sides is called a Quadrilateral

2. polygon with six sides is called hexagon

3. polygon with five sides is called pentagon

Hope this helps?

Answer:

To find the principal, P we can use the same formula, A=P(1+rn)nt. We have the balance of the account, A, after 6 years, $1,780.80. The interest rate, r, is 6.8% (or 0.68 as a decimal) and is compounded annually, so n=1. The time, t, is 6, since we know he opened his account 6 years ago. Plug in the known values into the formula and solve for the missing variable, P.

Step-by-step explanation:

1,780.80 = P (1+0.0681 divided 1^(6)

1,780.80= 1.484P

1,200=P         the principal amount Lex used to open his account 6 years ago

Answer:

girls are 15 and boys are 30

Answer:

Step-by-step explanation:

Given,

No. of students in the class = 45

Fraction of girls = 1/3

Therefore,

No. of girls = 45 × 1/3

= 15

No. of boys = 45 - 15 = 30

Hence,

In class 7 there are 15 girls and 30 boys (Ans)

Answer:

B. -1

Step-by-step explanation:

Edge 2021

Therefore , the solution of the given question of fractions comes out to be 5th option -3/5.

An element of a fraction or ratio is a piece of a whole. The number of equally sized pieces into which the whole has been divided is represented by the denominator b, and the number of parts that are included is represented by the numerator a. The LCM of two fractions' denominators is the least common multiple (LCD) of those denominators.

Here,

Given:

2 [tex]\frac{3}{4}[/tex], -1 [tex]\frac{3}{4}[/tex], 3/5 ,  -2 [tex]\frac{3}{4}[/tex], -3/5, -1  , [tex]\frac{3}{4}[/tex],

Therefore , by seeing the above given numbers ,

We compare above number

and we get to know ,

The 5th number 3/5, comes out to be smallest number from the following given numbers.

Therefore , the solution of the given question of fractions comes out to be 5th option -3/5.

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Answer:

w=17

Step-by-step explanation:

Distribute -9 into the parenthesis to remove them.

Use the addition property of equality and add -9w to both sides of the equation

use addition property of equality again and add -243 to the opposing side of the equation

Use division property of equality and divide both sides by 9

Thus getting w = 17

Answer:

-3/x-1

Step-by-step explanation:

Answer:

29ft

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) find the total candies

7 + 8 + 5 + 9 = 29

2) a probability can be expressed with a fraction whose denominator is the total candies, while the numerator represents the candies that we want to find

- red = 7/29

- blue = 8/29

- yellow = 5/29

- green = 9/29

3) compound probability

(red + blue)/29 = 15/29

(yellow + green)/29 = 14/29

(blue + yellow + green)/29 = 22/29

9514 1404 393

Answer:

Step-by-step explanation:

-f(x) reflects the graph over the x-axis. Instead of increasing everywhere, it decreases everywhere.

__

2f(x) stretches the graph vertically by a factor of 2. The y-intercept of (0, 1) gets moved to (0, 2)

__

f(x) +2 shifts the graph up 2 units. The horizontal asymptote moves from y=0 to y=2.

__

f(x+2) shifts the graph left 2 units. The point (2, 4) on the original graph gets translated to the y-axis to become the new y-intercept (0, 4).

When we evaluate the expression 8x² + 6x - 8 in x = 2, we will get the value 36.

Here we need to evaluate the following expression:

8x² + 6x - 8

in x = 2.

Evaluating means that we need to replace the variable by the given number. Replacing the "x" by 2, we will get:

8*2² + 6*2 - 8

8*4 + 12 - 8

8*3 + 12

24 + 12 = 36

When x = 2, the expression is equal to 36.

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Answer:

112 is your answer

Step-by-step explanation:

To calculate the surface area you have to count all of the squares. You can do this with these equations.

8 × 4 × 2 = 64

8 × 2 × 2 = 32

4 × 2 × 2 = 16

Next, add them up!

64 + 32 + 16 = 112

Answer:

No Solutions

Step-by-step explanation:

Hello!

We can solve for a by isolating the variable.

Since -29 cannot be equal to -9, there are no solutions for this equation.

Answer:

its correct

Step-by-step explanation:

The correct comparison between two function is

Both functions are increasing, but function g increases at a faster average rate.

The Correct option is (B).

If the slope of a function is continuously increasing or constant in an interval, the function is known as an increasing function.

Let us assume

f(x) = [tex]ab^x[/tex]+ c

so, at x=0, f(0)=-10

a +c = -10

Similarly, by satisfying the above table in the f(x)

f(x) = -33/5 [tex](1/11)^x[/tex] - 17/5

and, f'(x) > 0

Thus, f(x) is an increasing function.

Now, g(x) = -18 [tex](1/3)^x[/tex] +2

g'(x) = -18 [tex](1/3)^x[/tex] log(1/3)

as log 1/3 <0

So, g'(x) > 0

Thus, g(x) is an increasing function.

For any x ∈ f(x) and x ∈ g(x), g'(x) > f'(x).

Hence, Both functions are increasing, but function g increases at a faster average rate.

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Answer:

See below

Step-by-step explanation:

I guess if you look at the zeroes/x-intercepts, we got (3,0) and (-7,0) as zeroes.

Additionally, we can calculate the minimum by expanding the function:

[tex](x-3)(x+7)=x^2+4x-21[/tex]

[tex]\displaystyle x=-\frac{b}{2a}=-\frac{4}{2(1)}=-2\\\\f(-2)=(-2)^2+4(2)-21=4+8-21=12-21=-9[/tex]

So the minimum of the function is (-2,-9)

Also, our y-intercept is (0,-21)

Answer:

5 and 6

Step-by-step explanation:

We know that the square root of 36 is 6, so the square root of 35 must be between 5 and 6 as it is not a perfect square.

it is found that 29 are taking algebra, 14 are taking physics, and 5 are enrolled in both using principle of inclusion-exclusion we can say 38 students are enrolled in either algebra or physics.

To find how many students are enrolled in either algebra or physics, you can use the principle of inclusion-exclusion, which states that the total number of elements in two sets can be found by adding the number of elements in each set and then subtracting the number of elements that are in both sets.

So, the number of students enrolled in either algebra or physics is:

29 (students enrolled in algebra) + 14 (students enrolled in physics) - 5 (students enrolled in both) = 38

So, 38 students are enrolled in either algebra or physics.

It is important to notice that in the table you provided is a two-way frequency table also known as a contingency table, it shows the relationship between two variables, in this case, Algebra and Physics and the frequencies of each combination.

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