If p = 5 and q = 3 evaluate , 4p - pq

Answer:

Step-bLet X be the number of calls received by an office on Monday morning between 8:00 AM and 9:00 AM.

In mathematical terms,  

X

∼

P

o

i

s

s

o

n

(

2

)

.

The PMF of the random variable X is given as,

P

(

X

=

x

)

=

e

−

2

×

2

x

x

!

f

o

r

x

=

0

,

1

,

2

,

.

.

.

.

.

=

0

E

l

s

e

w

h

e

r

e

The probability of getting no more than 3 calls between eight and nine in the morning is obtained by the following way,

P

(

X

≤

3

)

=

P

(

X

=

0

)

+

P

(

X

=

1

)

+

P

(

X

=

2

)

+

P

(

X

=

3

)

=

e

−

2

×

2

0

0

!

+

e

−

2

×

2

1

1

!

+

e

−

2

×

2

2

2

!

+

e

−

2

×

2

3

3

!

=

0

.13534

+

0

.27067

+

0

.27067

+

0

.18045

=

0

.85712

Hence the probability of getting no more than 3 calls between eight and nine in the morning is 0.85712.y-step explanation:

gradient = 12-4 ÷0-(-4)=8÷4=2

Answer:

gradient = 2

Step-by-step explanation:

Calculate the gradient m using the gradient formula

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

with (x₁, y₁ ) = (- 4, 4) and (x₂, y₂ ) = (0, 12)

m = [tex]\frac{12-4}{0+4}[/tex] = [tex]\frac{8}{4}[/tex] = 2

Answer:

d(2d-7)

Step-by-step explanation:

2d^2 -7d

take common

=d(2d-7)

[tex] \large \boxed{ \rightarrow d(2d - 7)}[/tex]

[tex] \rightarrow2d {}^{2} - 7d[/tex]

[tex] \rightarrow d(2d - 7)[/tex]

[tex] \mathfrak{hope \:it \: helps \: you.....}[/tex]

Step-by-step explanation:

I can read your mind you know

just ask me how

and see the magic

think of any number,

add it by 3 then by 5 then by 1.

multiply it by two

divide it by two

subtract the first number you thought of from your current number

your answer will be 9

I'm I correct ?

Answer:

2 x 3 = 6 + 4 = 10 squared = 100

Step-by-step explanation:

The square of a number is the number that can be multiplied by itself to get that specific number, for example 10 x 10 = 100

Answer:

x=2. or. x=8

Step-by-step explanation:

x^2-10x+16=0. s=-10

x^2-8x-2x+16=0. p=16

x(x-8)-2(x-8)=0. [-8,-2]

(x-2)(x-8)

x=2. or. x=8

Answer:

f(x)-3x+5 and g(x)=4+5 is it true ?Step-by-step explanation:

Step-by-step explanation:

Y/-7= -7

Cross multiple

-7× -7 =Y

49 =Y

Answer:

y = 49

Step-by-step explanation:

y ÷ - 7 = - 7

y ÷ - 7 × - 7 = - 7 × - 7

y = 49

Answer:

y=-5/9

Step-by-step explanation:

it says 9y=-5

divide both sides by 9

y=-5/9

Answer:

the value of x°= 20°

explanation is in the picture attached below

hope it is helpful to you

Step-by-step explanation:

but sorry i can't get the answer of (2x-1) =3 (x+5) because the answer of this came -16

can you please put the equation so i can answer it?

thank you!

Answer:

Step-by-step explanation: Although you did not specify, perhaps your were supposed to find some way to do this without a calculator. First ignore the decimals and think about 822649

900 * 900 = 810000 so the first digit of the square root is a 9

The last two numbers are 49 so the square root ends in a 7

Assume the square root is 9a7 where a is not known and expand

(907 + 10a)^2 = 822649 + other terms in a = 822649

a = 0, and we have found 822649 = 907 ^2

0.00822649 is obtained from 822649 by moving the decimal point 8 places

That tells us the square root is obtained from by moving 4 places

The answer is 0.0907......

Answer:

the number of students is 80

Answer:

y = -12x + 3

Step-by-step explanation:

The slope-intercept form of an equation can be written as y = mx + b where m is the slope and b is the y-intercept. We are given both values, so we can plug them into the equation to get:

y = mx + b

y = -12x + 3

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

To solve this problem, one must use the angle bisector theorem. This theorem provides a proportion between the sides formed by an angle bisector. One can apply this theorem here by forming the following proportion,

[tex]\frac{BA}{BC}=\frac{AD}{DC}[/tex]

Substitute,

[tex]\frac{x}{6}=\frac{2}{3}[/tex]

Cross products,

[tex]3(x)=2(6)[/tex]

Simplify,

[tex]3x=12[/tex]

Inverse operations,

[tex]3x=12\\\\x = 4[/tex]

Answer:

He should study for at least 88 minutes

Step-by-step explanation:

The missing parameters are:

[tex]y = 0.36805x + 42.6864[/tex] --- equation of trend

[tex]y \to grade[/tex]

[tex]x \to time[/tex]

Required

x when [tex]y = 75[/tex]

[tex]y = 0.36805x + 42.6864[/tex] becomes

[tex]75 = 0.36805x + 42.6864[/tex]

Collect like terms

[tex]0.36805x = 75 - 42.6864[/tex]

[tex]0.36805x = 32.3136[/tex]

Solve for x

[tex]x = \frac{32.3136}{0.36805}[/tex]

[tex]x = 87.80[/tex]

[tex]x \approx 88[/tex]

Answer:

(2x²+6x-22) ft

Step-by-step explanation:

l = (x²+2x-16) ft

and w = (x+5) ft

the Perimeter =

2(x²+2x-16) +2(x+5)

= 2x²+4x-32+2x+10

= 2x²+6x-22

Answer:

(30, ∞)

Step-by-step explanation:

b – 27 > 3

Add 27 to both sides

b > 30

In interval notation

(30, ∞)

Answer:

(30,∞ )

Step-by-step explanation:

b> 27+3

b> 30

Answer:125

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

You are correct in selecting "linear pairs" since they form a straight line.

The angles are also adjacent because they're next to each other like that. In fact, "linear pair" means "adjacent and supplementary".

The angles are not complementary because they don't add to 90 degrees. Instead, they add to 180 degrees so that's what makes them supplementary.

The angles are also not vertical angles. They would need to be opposite one another in an X configuration for this to happen. This means vertical angles cannot be adjacent, and vice versa.

Angle a and angle b within the image are the linear pairs of angle within the image below.

It is a direction from which an individual observe something.

From the figure we are able to find that angle a and angle b are the linear pair because these are formed when two lines intersect one another at one point. The angles are said to be linear if they're adjacent to every other after the intersection of the 2 lines. The sum of angles of a linear pair is often adequate to 180 degrees.

Hence the angle a and angle b are linear pairs.

Learn more about linear pairs at https://brainly.com/question/2065148

#SPJ2

Answer:

Step-by-step explanation:

Answer:

[tex] \displaystyle4 \: \text{hours}[/tex]

Step-by-step explanation:

we are given that,

let the hours be h

from the first condition we obtain:

[tex] \displaystyle 82[/tex]

from the second condition we ge:

[tex] \displaystyle 82+ 55h[/tex]

from the final condition we acquire:

[tex] \displaystyle 82 + 55h \leqslant 300[/tex]

to figure out the hour we have to solve the equation to do so

cancel 82 from both sides:

[tex] \displaystyle 55h \leqslant 215[/tex]

divide both sides by 55:

[tex] \displaystyle h \leqslant 3.9636 \dots[/tex]

since 3.96.... is very close to 4 he can maximum afford 4 hours of labor

[tex] \displaystyle h = 4[/tex]

refer the attachment

Answer:

c is the answer

Step-by-step explanation:

Graphs really aren't my thing but I really feel like it is c

GOOD LUCK HOPEFULLY YOU GET A GOOD GRADE

Answer:

5 is small 6 is bigger

Step-by-step explanation:

because 6 is bigger and 5 is small than divide

Answer:

parallel = same slope (-2x)

so it's y=-2x + b

let's find b by plugging in 1 for x and 3 for y (the coordinates)

3 = -2*1 + b

3 = -2 + b

5 = b

there you have it:

y = -2x +5

brainliest would really be appropriated (possible when someone else also leaves an answer)

The phrase in the original question is:

....if they lost 12 games......

not

....if they lost board games......

Answer:

36 games won

Step-by-step explanation:

Given

[tex]\%Win = 75\%[/tex]

[tex]Lost = 12\ games[/tex]

Required

Number of games won

Give that: [tex]\%Win = 75\%[/tex]

The percentage loss is:

[tex]\%Loss = 100\% - \%Win[/tex]

So, we have:

[tex]\%Loss = 100\% - 75\%[/tex]

[tex]\%Loss = 25\%[/tex]

Calculate the number of games (n) using:

[tex]Lost = \%Loss * n[/tex]

[tex]12 = 25\% * n[/tex]

Make n the subject

[tex]n = \frac{12}{25\%}[/tex]

[tex]n = 48[/tex]

So, the games won is:

[tex]Win = n - Lost[/tex]

[tex]Win = 48 - 12[/tex]

[tex]Win = 36[/tex]