Find the value of SU

Step-by-step explanation:

if u want it by step by step thn tell me i will do that..

Answer:

A) 35

Step-by-step explanation:

x + 50 + 95 = 180

x + 145 = 180

x = 180 - 145

x = 35

Answer:

A = (-7,6)

B = (2,4)

C = (-6,0)

Step-by-step explanation:

A = (-9 + 2, 2 + 4)

B = (0 + 4, 0 + 4)

C = (-8 + 2, -4 + 4)

Answer:

B

Step-by-step explanation:

Answer:

[tex]P(X=8) = 0.0194[/tex]

[tex]P(X \ge 8)= 0.9820[/tex]

[tex]P(X \ge 1)= 1[/tex]

[tex]P(X\le 1) = 0.0000049[/tex]

Step-by-step explanation:

Given

[tex]\lambda = 15[/tex]

Poisson distribution is given by:

[tex]P(X=x) = \frac{\lambda^x e^{-\lambda}}{x!}[/tex]

Solving (a): 8 bugs

This implies that:

[tex]x = 8[/tex]

So, we have:

[tex]P(X=8) = \frac{15^8 * e^{-15}}{8!}[/tex]

[tex]P(X=8) = \frac{783.99418938}{40320}[/tex]

[tex]P(X=8) = 0.0194[/tex]

Solving (b): At least 8 bugs

This is represented as: [tex]P(X \ge 8)[/tex]

Using complement rule:

[tex]P(X \ge 8)= 1 - P(X<8)[/tex]

Where

[tex]P(X<8) = P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5) + P(X=6) + P(X=7)[/tex]

[tex]P(X<8) = \frac{15^1 * e^{-15}}{1!} + \frac{15^2 * e^{-15}}{2!} + \frac{15^3 * e^{-15}}{3!} + \frac{15^4 * e^{-15}}{4!} + \frac{15^5 * e^{-15}}{5!} + \frac{15^6 * e^{-15}}{6!} + \frac{15^7 * e^{-15}}{7!}[/tex]

[tex]P(X<8) = (\frac{15^1}{1!} + \frac{15^2}{2!} + \frac{15^3 }{3!} + \frac{15^4}{4!} + \frac{15^5}{5!} + \frac{15^6}{6!} + \frac{15^7}{7!}) e^{-15}[/tex]

[tex]P(X<8) = (15 + 112.5 + 562.5 + 2109.375 + 6328.125 + 15820.3125 + 33900.6696429) *e^{-15}[/tex]

[tex]P(X<8) = 58848.4821429 *e^{-15}[/tex]

[tex]P(X<8) = 0.0180[/tex]

So:

[tex]P(X \ge 8)= 1 - P(X<8)[/tex]

[tex]P(X \ge 8)= 1 - 0.0180[/tex]

[tex]P(X \ge 8)= 0.9820[/tex]

Solving (c): At least 1

This is represented as: [tex]P(X \ge 1)[/tex]

Using complement rule:

[tex]P(X \ge 1)= 1 - P(X<1)[/tex]

[tex]P(X<1) = P(X = 0)[/tex]

[tex]P(X<1) = \frac{15^0 e^{-15}}{0!}[/tex]

[tex]P(X<1) = \frac{e^{-15}}{1}[/tex]

[tex]P(X<1) = e^{-15}[/tex]

So:

[tex]P(X \ge 1)= 1 - P(X<1)[/tex]

[tex]P(X \ge 1)= 1 - e^{-15[/tex]

[tex]P(X \ge 1)= 0.99999969409[/tex]

[tex]P(X \ge 1)= 1[/tex]

Solving (d): Not more than 1

This implies at most 1.

It is represented as:

[tex]P(X\le 1)[/tex]

It is calculated using:

[tex]P(X\le 1) = P(X = 0) + P(X =1)[/tex]

[tex]P(X = 0) = e^{-15}[/tex]

[tex]P(X=1) = \frac{15^1 * e^{-15}}{1!}[/tex]

[tex]P(X=1) = 15 * e^{-15}[/tex]

So:

[tex]P(X\le 1) = e^{-15} + 15 * e^{-15}[/tex]

[tex]P(X\le 1) = 0.00000489443[/tex]

[tex]P(X\le 1) = 0.0000049[/tex]

Answer:

The answer to number 6: 230.4(the unit measurement "cm" "mm" etc)

The answer to number 7: 140.673538 rad

Step-by-step explanation:

For number 6: To find area, it is length times width times height. In this case, the length is 7.2. The width is 8. The height is 4.

So length (7.2) times width (8) times height (4).

7.2 times 8 is 57.6

57.6 times 4 is 230.4

For number 7: To find the area it is length times width times height. In this case, the length is 62°. The width is 13. The height is 10.

So length (62°) times width (13) times height (10).

62° times 13 is 14.0673538 rad

14.0673538 rad times 10 is 140.673538 rad

Step-by-step explanation:

Mean of the origibal set = 20

No. of terms = 10

Sum = Mean x No. of terms

= 20 x 10 = 200

The sum of additional numbers to make the new set of observstion is 4 + 8 + 12...... + 40 = 220

New Sum = 200 + 220 = 420

The no of terms stay the same

New Mean = New Sum/ N

= 420/10

= 42

Answer:

15

Step-by-step explanation:

Answer:

It says 15 18 is correct

Step-by-step explanation:

Answer:

Middle school (also called junior high school)

It starts with grade 6 and ends with grade 8.

Step-by-step explanation:

Answer:

3?

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

d

Answer:

[tex]\huge\boxed{\sf Rhombus}[/tex]

Step-by-step explanation:

When we plot the given vertices on a graph, We get a shape which has the following characteristics.

=> Opposite angles are equal.

=> The diagonals are perpendicular to each other.

=> Opposite sides are parallel to each other.

=> Sum of adjacent angles in equal to 90 degrees.

But, the shape does not seem to be like pentagon, square and rectangle. Hence, It's a rhombus.

See the attached file!

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

Hiya! I see this is your first question on here, I hope you enjoy the website. Anyways, the answer is 1/4 I believe.

Step-by-step explanation:

15-3=12

3 : 12

1 : 4

P.S. smile for me and have a great day!

Answer:  4

Step-by-step explanation:

2(12) + 6n ≥ 50

24 + 6n ≥ 50

6n ≥ 26

  n ≈ 4

The maximum number of tubes of paint that Kevin can buy is 4.

Answer:

He can make 4 tubs

Step-by-step explanation:

9514 1404 393

Answer:

  33°

Step-by-step explanation:

The law of cosines tells you ...

  a² = b² +c² -2bc·cos(A)

Solving for A, we get ...

  A = arccos((b² +c² -a²)/(2bc))

  A = arccos((15² +24² -14²)/(2·15·24)) = arccos(605/720)

  A ≈ 32.8305°

The smallest angle is about 33°.

Answer:

21.4

Step-by-step explanation:

Answer:

21.4

Step-by-step explanation:

delta math told me! :)

Answer: 904.32  cubic units.

Step-by-step explanation:

The formula for a sphere's volume is V = [tex]V = \frac{4}{3}\pi r^{3} \\[/tex]

Substitute pi for 3.14 and radius for 6. 6^3 = 216

[tex]\\V = \frac{4}{3}\ (3.14)( 216) \\\\[/tex]

Multiply them together, the answer is 904.32  cubic units.

Answer:

A

Step-by-step explanation:

If you were to do 20 divided by 2 you would get 10

Answer:

A

Step-by-step explanation:

I'm doing the same test and its A

K12

Answer:

[tex](21in,30in)=>210in^2[/tex]

[tex](15in,18in)=>90in^2[/tex]

[tex](15in,30in)=>150in^2[/tex]

Step-by-step explanation:

Required

Match the expressions on the left with the right

(a) 21 in by 15 in

Calculate area

[tex]Area = 21in * 15in[/tex]

[tex]Area = 315in^2[/tex]

Multiply by [tex]1/3[/tex]

[tex]1-third = 315in^2 * \frac{1}{3}[/tex]

[tex]1-third = 105in^2[/tex]

Hence:

[tex](21in,15in)=>105in^2[/tex]

(b) 21 in by 30 in

Calculate area

[tex]Area = 21in * 30in[/tex]

[tex]Area = 630in^2[/tex]

Multiply by [tex]1/3[/tex]

[tex]1-third = 630in^2 * \frac{1}{3}[/tex]

[tex]1-third = 210in^2[/tex]

Hence:

[tex](21in,30in)=>210in^2[/tex]

(c) 15 in by 18 in

Calculate area

[tex]Area = 15in * 18in[/tex]

[tex]Area = 270in^2[/tex]

Multiply by [tex]1/3[/tex]

[tex]1-third = 270in^2 * \frac{1}{3}[/tex]

[tex]1-third = 90in^2[/tex]

Hence:

[tex](15in,18in)=>90in^2[/tex]

(d) 15 in by 30 in

Calculate area

[tex]Area = 15in * 30in[/tex]

[tex]Area = 450in^2[/tex]

Multiply by [tex]1/3[/tex]

[tex]1-third = 450in^2 * \frac{1}{3}[/tex]

[tex]1-third = 150in^2[/tex]

Hence:

[tex](15in,30in)=>150in^2[/tex]

Answer:

13.356

Step-by-step explanation:

10/100 = 1.4

14-1.4 = 12.6

12.6*6% = 13.356

Answer:

It increases by 267 decrease.

Answer:

267%

Step-by-step explanation:

110 / 30 - 1

3.6666667 - 1

2.6666667 or 2.67

2.67 x 100

267%

Hyp²=ADJ²+OPP²

28²=17²+X²

784=289+x²

x²=784-289

x²=495

x=22

here is your answer 22

Answer:

C. and D. are correct

Step-by-step explanation:

I solved all of them

A would be 0.5 not 2

B would be 2.5 not 2

E would be 0.5 not 2

hope this helps <3

Answer:

he placed a * sign instead of an add sign in the second part of the equation

Step-by-step explanation:

6(2b+5)=6*2b + 6*5 = 12b + 30

Answer:

1. C(n) = 2.25n + 120

2. R(n) = 3.51n

3. P(n) = 1.26n - 120

1. 96 frozen bananas must be sold in order to make a positive profit.

2. In order to make a profit, I have to sell a minimum of 96 frozen bananas.

Step-by-step explanation:

1. Write a function, C(n), to represent your total costs for the week if you sell n frozen bananas.

Total cost is the addition of total variable cost and total fixed cost. Therefore, the function is as follows:

C(n) = 2.25n + 120

Where 2.25n is the total variable cost while 120 is the total fixed cost.

2. Write a function, R(n), to represent the revenue from the sale of n frozen bananas during the week.

Revenue is equal to selling price per unit multiplied by the number of units sold. Therefore, the function is as follows:

R(n) = 3.51 * n

R(n) = 3.51n

Where 3.51 is the selling price per unit while n the number of units sold.

3. Write a function, P(n), that represents the profits for selling n frozen bananas in a given week.

Profit is equal to total revenue minus total cost. Therefore, the function can be derived as follows:

P(n) = R(n) - C(n)

P(n) = 3.51n - 2.25n + 120

P(n) = 1.26n - 120

1. How many frozen bananas must you sell in order to make a positive profit? Write your answer as a whole number.

This can be obtained by equating the profit function to zero and solve for n as follows:

P(n) = 0 => 1.26n - 120 = 0

Therefore, we have:

1.26n = 120

n = 120 / 1.26

n = 95.2380952380952 frozen bananas

Writing it as a whole number, we have:

n = 95 frozen bananas

However, using this whole number will result in a negative profit by substituting it into the profit function as follows:

P(n) = (1.26 * 95) - 120 = -$0.30

Therefore, n has to be increased by one to 96 which is also a whole number to have a positive profit as follows:

P(n) = (1.26 * 96) - 120 = $0.96

Therefore, 96 frozen bananas must be sold in order to make a positive profit.

2. Complete the following sentence to explain the meaning of #1:

In order to make a profit, I have to sell a minimum of 96 frozen bananas.

Answer:

[tex]x \geqslant 4[/tex]

Step-by-step explanation:

1) Add 9 to both sides.

[tex]5x \geqslant 11 + 9[/tex]

2) Simplify 11 + 9 to 20.

[tex]5x \geqslant 20[/tex]

3) Divide both sides by 5.

[tex]x \geqslant \frac{20}{5} [/tex]

4) Simplify 20/5 to 4.

[tex]x \geqslant 4[/tex]

Thus, the answer is Option B.

5x−9 ≥ 11

5x ≥ 11 + 9

5x ≥ 20

x ≥ 20/5

x ≥ 4

Done.

Answer:

c. $30

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

We have a linear equation here.

3 - 4x = 12

Subtract 3 from both sides.

3 - 3 - 4x = 12 - 3

-4x = 9

Divide both sides by -4 to find x.

-4x/-4 = 9/-4

x = -9/4

The value of solution of expression is,

⇒ x = - 9 / 14

WE have to given that;

A mathematical expression is,

⇒ 3 - 4x = 12

Now, WE can simplify as;

⇒ 3 - 4x = 12

Add 4x both side,

⇒ 3 - 4x + 4x = 12 + 4x

⇒ 3 = 12 + 4x

Subtract 12 both side, we get;

⇒ 3 - 12 = 14x

⇒ - 9 = 14x

⇒ x = - 9 / 14

Thus, The value of solution of expression is,

⇒ x = - 9 / 14

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ6

Answer:

yes get that one 0.78.10

Step-by-step explanation: