Evaluate the expression 16 + 36 = b for b = 4

Answer and Step-by-step explanation:

The computation is shown below;

Here we use the binomial distribution

p = 40 ÷ 85 = 0.47

q = 1 -0.47 = 0.53

n = 180

Now  

mean [tex]\mu[/tex]

= np

= 180 × 0.47

= 84.6

The Variance is

= npq

= 180 ×  0.47 × 0.53

= 44.84

And,  Standard deviation

= √npq

= √44.84

= 6.69

We simply applied the above formula so that the correct value could come

And, the same is to be considered  

Answer:

B. 6

Step-by-step explanation:

50 times 3/5 = 150/5 = 30

30 times 4/5 = 120/5 = 24

24 times 1/4 = 24/4 = 6

Answer :

The Answer Is 300 Miles In 5 Hours

Answer:

300 miles i think

Step-by-step explanation:

120 times 2.5 bc 2 times 2.5=5

120 times 2.5 is 300

Answer:

y= 8x +9

Step-by-step explanation:

Slope-intercept form:

y= mx +c, where m is the slope and c is the y-intercept.

Given that the slope is 8, m= 8.

Substitute m= 8 into the equation:

y= 8x +c

Given that the y-intercept is 9, c= 9.

Substitute c= 9 into the equation:

y= 8x +9

Thus, the equation of the line is y= 8x +9.

Based on the ratio of the jellybeans and the number of jellybeans, the number of each is:

To find the number of yellow jellybeans:

= Ratio of Yellow/ Sum of ratios x Number of jellybeans in total

= 6 / (6 + 5 + 4) x 60

= 24 yellow jellybeans

Orange jellybeans:

= 5 / 15 x 60

= 20 orange jellybeans

Red jellybeans:

= 4 / 15 x 60

= 16 red jellybeans

In conclusion, there are several colors of jellybeans.

Find out more at https://brainly.com/question/14493658.

Answer:

There is no digit in the hundredths place, making this indeditable.

Answer:

it is already rounded to the nearest hundredth

Step-by-step explanation:

the number in the hundredths place would be zero, therefore the rounded number would be as it is (78.5)

Answer:

SSS

Step-by-step explanation:

it shows that all three sides are congruent by the congruency lines

it does not show any angles, and it does not show only one or two sides are congruent

Answer:

x = 5

Step-by-step explanation:

4(x-1)/8 = 2(x+2)/7

7*4(x-1) = 8*2(x+2)

28(x-1) = 16(x+2)

28*x + 28*-1 = 16*x + 16*2

28x - 28 = 16x + 32

28x - 16x = 32 + 28

12x = 60

x = 60/12

x = 5

Check:

4(5-1)/8 = 2(5+2)/7

4*4/8 = 2*7/7

16/8 = 2*1 = 2

Answer:

Cellular respiration is this process in which oxygen and glucose are used to create ATP, carbon dioxide, and water. ATP, carbon dioxide, and water are all products of this process because they are what is created.

Step-by-step explanation:

Answer:

97 degrees

Step-by-step explanation:

If 45 + 38 = 83

A triangle is 180 always

so 180-83=97

Answer:

And for number 10 the answer is (b)

I hope this helps, Happy learning!!!

Answer:

Step-by-step explanation:

a. $7.

b. $1x.

c. $20.

d. $5y.

e. $1x + $5y.

I hope this helps, sorry if I am incorrect. Have a nice day!

Answer:

x= -1

Step-by-step explanation:

2(x -5) -6 = -18

2x -10 -6 =-18

2x -10 -6 =-18

2x -16 = -18

2x =16 += -18

2x -16 +16 = -18 +16

2x = -2

2x/2 = -2/2

x=-1

x = -1

Answer:

The slope is -3/2

Step-by-step explanation:

Hope this helped have a good day!

Answer:

A) 12x-4y

Step-by-step explanation:

Since a square has a perimeter of P=4s, then P=4(3x-y)=12x-4y, therefore A is the correct option.

Answer:

15

Step-by-step explanation:

-3 x -5 = 15

Answer:

202.50

Step-by-step explanation:

Answer:

£202.50

Step-by-step explanation:

£180 by 12.5 % is £180+ (£180*12.5) which is 202.50.

Hope this helps :D

Answer:

Step-by-step explanation:

Given that:

cos(x) = x³

f(x) = cos (x) - x³

f(x) is continuous on the interval (0, 1)

when;

f(0) = cos (0) - (0)

f(0) = 1 - 0

f(0) = 1 > 0

f(1)  = cos (1) - 1³

f(1) = 0.5403 - 1

f(1) = -0.4597

f(1) = - 0.46

f(1) = - 0.46 < 0

Since, 1 > 0 > -0.46, thus there is a number ''c" in (0,1)

such that f(c) = 0

By applying the Intermediate Value Theorem, there is a root of the equation in the interval (0,1)

b) Given that:

The interval length = 0.01; this implies that it is 0.005 length from its root.

f(0.865) = 0.0014

f(0.87) = - 0.013

The solution to the interval lies between 0.865 , 0.87 by using a calculator at length 0.01.

Answer:

3.5355 inches

Step-by-step explanation:

Area should be same the concentric circle and rest piece .

let's consider the radius of concentric circle as r

so it's area is π r²

area of whole circle is π (5)" ( because diameter is 10 inches)

so the area of rest piece is π (5)² - π r²

π (5)² - π r² = π r²

5² = 2r²

r² = 25/2

r = √(25/2)

r = 3.5355 inches

Answer:

y=2

x=5

trust me its by calculator

Answer:

x=5

y=2 true......

Step-by-step explanation:

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

Answer:

AB + BC + CA

Step-by-step explanation:

12b-8 + 12b- 8 + 9b+8

33b - 8

Answer:

Hello your question is incomplete attached below  is the complete question

Answer : The shape of the fence will be a circle

              dimensions of the fence are : radius = 6.5 meters

Step-by-step explanation:

First we calculate the length of the different arms

AB = [tex]\sqrt{(-2+6)^2 + (-3+1)^2}[/tex]

     ≈ 4.47

CD = [tex]\sqrt{(5-3)^2 + (0-4)^2}[/tex]

     ≈ 4.47

Next we calculate the midpoint of these two arms

M1 = [tex]( \frac{-6-2}{2} , \frac{-1-3}{2} )[/tex] = ( -4, -2 )

M2 = [tex]( \frac{3+5}{2} , \frac{0+4}{2} )[/tex]  = ( 4,2 )

hence midpoint of M1,M2 =( M ) = ( 0,0 )

finally considering M calculate the distance between M and car B,D

MB = [tex]\sqrt{(0+2)^2 + (0+3)^2}[/tex]  = 3.60

MD = [tex]\sqrt{(0-5)^2 + (0)^2}[/tex]  = 5

therefore the radius of the fence will be

= 5 + 1.5 = 6.5 meters ( because MD > MB )

Answer:

[tex]f(n) = 15 + (n + 1)[/tex]

Step-by-step explanation:

Tina earns $15 every week when she mows the lawn.

We would put $15 because she earns $15 every week.

She earns 15 every week, so we would put (n + 1).

Our final answer would be [tex]f(n) = 15 + (n + 1)[/tex]

Answer:

The explicit rule is:

[tex]f(n)=60+15(n-1)[/tex]

After 15 week, Tina will have $270 in her savings account.

Step-by-step explanation:

Let’s write down our sequence so we can see it better.

For the first week (i.e. the first term), Tina has $60.

For the second week (i.e. the second term), Tina has $75.

And for the 3rd, 4th, 5th, and 6th week, Tina has $90, $105, $120, and $135, respectively.

Therefore, we can write the following sequence:

60, 75, 90, 105, 120, 135...

Note that our initial term a is 60.

And our common diffference will be 15.

Let’s find the explicit rule. The standard format for an explicit rule is:

[tex]f(n)=a+d(n-1)[/tex]

Where a is the initial term and d is the common difference.

Let’s substitute 60 for a and 15 for d. Hence, our explicit formula is:

[tex]f(n)=60+15(n-1)[/tex]

So, to find the amount Tina will have in her savings account in 15 weeks, we will substitute 15 for n and evaluate. So:

[tex]f(15)=60+15(15-1)[/tex]

Evaluate:

[tex]\begin{aligned} f(15)&=60+15(14) \\ f(15)&=60+210 \\ f(15)&=270 \end{aligned}[/tex]

Hence, after 15 weeks, Tina would have $270 in her savings account.

Answer:

(-6,2)

Step-by-step explanation:

[tex]f(x)<0[/tex]

We are given [tex]f(x)=x^2+4x-12[/tex].

So we need to solve:

[tex]x^2+4x-12<0[/tex]

First let's find when the expression on the left is 0.

[tex]x^2+4x-12=0[/tex].

The expression on the left is factorable.

Given the coefficient of [tex]x^2[/tex] is 1, all we have to do is see if there are two numbers that multiply to be -12 and add to be 4.

Those numbers are 6 and -2 so the factored form is:

[tex](x+6)(x-2)=0[/tex]

So the solutions can be found be solving the following linear equations:

[tex]x+6=0[/tex] and [tex]x-2=0[/tex].

First equation, you just need to subtract 6 on both sides. [tex]x=-6[/tex]

Second equation, you just need to add 2 on both sides. [tex]x=2[/tex]

So draw a number line with those on it and test the intervals they divide.

--------(-6)--------(2)----------

So we need to test three intervals.

*Plug in a number before -6 to see if that piece of the function is above the x-axis or below. We are looking for below since we want [tex]f(x)<0[/tex].

Let's plug in x=-8

[tex]f(x)=(x+6)(x-2)[/tex] or use [tex]f(x)=x^2+4x-12[/tex].

[tex]f(-8)=(-8+6)(-8-2)[/tex]

[tex]f(-8)=(-2)(-10)[/tex]

[tex]f(-8)=20[/tex] so this piece is above since 20 is positive and not negative.

So we will not include this interval in our answer.

*Plug in a number between -6 and 2 like 0.

[tex]f(x)=(x+6)(x-2)[/tex]

[tex]f(0)=(0+6)(0-2)[/tex]

[tex]f(0)=(6)(-2)[/tex]

[tex]f(0)=-12[/tex] so this piece is under since -12 is negative and not positive.

So our solution includes the interval (-6,2).

*Plug in a number after 2 like 5.

[tex]f(x)=(x+6)(x-2)[/tex]

[tex]f(5)=(5+6)(5-2)[/tex]

[tex]f(5)=(11)(3)[/tex]

[tex]f(5)=33[/tex] so this piece is above since 33 is positive and not negative.

The answer only includes the interval (-6,2).

Answer:

1,123.30

Step-by-step explanation:

first of all, you are decreasing 1015 by 6 percent so it will be

1015 * 0.93 because you are decreasing it from the percentage

then, you are increasing it by 19 percent so you mulitply what you got on the previous calculation and multiply it by 1.19

943.95 * 1.19

and answer will be 1,123.30