A cuboid with a volume of 924 cm' has dimensions
4 cm, (x + 1) cm and (x + 11) cm.
Show clearly that x2 + 12x – 220 = 0
Solve the equation by factorisation, making sure you show the factorisation.
State both values of x on the same line.
Finally, find the dimensions of the cuboid, writing all three on one line.

Answer: Area of the shape is 168 ft.

Step-by-step explanation: Split the shape into 2 shapes: A rectangle and a triangle.

Area of the rectangle shape is 144 and the area of the triangle is 24. Add them and you get 168.

Answer:

The said friend's grade in Professor Ivy's class is 85.7.

Step-by-step explanation:

Assuming the question asks for your friend's grade in Professor Ivy's class.

0.05(95) + 0.25(89) + 0.25(80) + 0.45(86) = 85.7

This question is incomplete, the complete question is;

he Eco Pulse survey from the marketing communications firm Shelton Group asked individuals to indicate things they do that make them feel guilty (Los Angeles Times, August 15, 2012).

Based on the survey results, there is a 0.39 probability that a randomly selected person will feel guilty about wasting food and a 0.27 probability that a randomly selected person will feel guilty about leaving lights on when not in a room.

Moreover, there is a 0.12 probability that a randomly selected person will feel guilty for both of these reasons.

Required:

a. What is the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both (to 2 decimals)?

b. What is the probability that a randomly selected person will not feel guilty for either of these reasons (to 2 decimals)?

Answer:

a)

the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both is 0.54

b)

the probability that a randomly selected person will not feel guilty for either of these reasons is 0.46

Step-by-step explanation:

Given the data in the question;

lets A represent person feels guilty about wasting food and B represent leaving the light on when not in room;

probability; feel  guilty about wasting food P(A) = 0.39

probability; feel guilty about leaving light on P(B) = 0.27

probability; feel guilty for both P(A ∩ B ) = 0.12

a)

probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both

p( A ∪ B ) = P(A) + P(B) - P(A ∩ B )

we substitute

p( A ∪ B ) = 0.39 + 0.27 - 0.12

p( A ∪ B ) = 0.54

Therefore, the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both is 0.54

b)

probability that a randomly selected person will not feel guilty for either of these reasons;

p( A ∪ B )' = 1 - p( A ∪ B )

p( A ∪ B )' = 1 - 0.54

p( A ∪ B )' = 0.46

Therefore, the probability that a randomly selected person will not feel guilty for either of these reasons is 0.46

Answer:

(x₁ ,  y₁) = (0,0)

(x₂ , y₂) = [tex]\frac{\sqrt[16]{3} }{19}[/tex] , [tex]\frac{12}{19}[/tex]

Answer:

True

Step-by-step explanation:

l-3l>2

3>2= True

x = 3

[tex]3^{3} =[/tex] 3 x 3 x 3 = 27

9x = 9 x 3 = 27

Answer:

B 74

Step-by-step explanation:

Answer:

45 more apples

Step-by-step explanation:

Well the total is 475

215 is already gone and the remaining goes to the store

475-215= 260

Groccery gets 260

Farmer gets 215

So to find how much more yuou jsut subtract the 2

260-215 which is 45

Answer:

D

Step-by-step explanation:

It's D because the number of books checked out each hour would have to depend on the amount of people in the library each hour.

Answer:

A

Step-by-step explanation:

(-10) + 3 = -(10 - 3) = -7

10 - 3 = 7

-7 ≠ 7

FALSE

Answer:

x=10

Step-by-step explanation:

Answer:

Hi! The answer is [tex]1/3[/tex] of a wall.

Step-by-step explanation:

[tex]1 - 2/3[/tex]

[tex]= 1/3[/tex]

☆*: .｡.｡.:*☆☆.*: .｡..｡.:*☆☆*: .｡.｡.:*☆☆.*: .｡..｡.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Answer:

What is the question?

Step-by-step explanation:

Answer:

My best guess is D she can make 4 dozen cokies

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

it is B because  for number A 1+1 =2 2>1.75.  B= 1.5<175, c= 0.5 <1, d. 2>1.75

Answer:

4/3

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

[tex] { \frac{2}{3} }^{2} = \frac{4}{9} [/tex]

have a nice day

Answer: 13

Explanation:

21-8=13

z = 13  is the solution of the equation z +8 = 21.

When a mathematical expression is converted into an equivalent, typically shorter statement, it becomes simpler. Procedure simplification is one method to encourage uniformity in work effort, expense, and duration. It reduces diversity and variation that is detrimental, pointless, or unnecessary.

Given, an expression  z + 8 = 21

Simplifying it,

z = 21 - 8

z = 13

Therefore, The answer to the equation z + 8 = 21 is z = 13.

Learn more about simplification here:

brainly.com/question/24242989

#SPJ2

Answer:

C) angle 7

Step-by-step explanation:

angle 7

Answer:

absolute error: 7 pounds

percent error:4.9%

Step-by-step explanation:

Absolute error:

150-143=7 pounds

Percent error:

=l[tex]\frac{150-143}{143}[/tex] l x 100

=l[tex]\frac{7}{143}[/tex]l x 100

=0.04895x100

=4.895...

=4.9%

Answer:

$5

Step-by-step explanation:

Answer:

Skewed to the right

Look at dis \/

The shape of the sampling distribution of the sample mean will match the shape of the parent population since the sample size is small (n=5<30), although it will be closer to normal than the parent population is.

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whats going on ;)

Answer:

H0 : μ = 10

H1 : μ < 10

Test statistic = - 2.0415

Critical value = -1.4051

There is significant evidence to conclude that the mean time a user stays on site is less than 10 minutes

Step-by-step explanation:

The null and alternative hypothesis :

H0 : μ = 10

H1 : μ < 10

The test statistic :

From the data Given, using calculator :

Sample mean, xbar = 6.3

Sample standard deviation, s = 7.90

Test statistic = (xbar - μ) ÷ (s/sqrt(n))

Number of samples given is 19 and not 17 as stated in the question.

Test statistic = (6.3 - 10) ÷ (7.90 / sqrt(19))

Test statistic = - 3.7 / 1.8123842

Test statistic = - 2.0415

The critical value for the test :

At α = 0.08 ;

Critical value = -1.4051

Since, Test statistic is < Critical value ;

-2.0415 < - 1.0451 ; we reject the Null

There is significant evidence to conclude that the mean time a user stays on site is less than 10 minutes

9514 1404 393

Answer:

  g(x) = (x -3)(x -2+√7)(x -2 -√7)

Step-by-step explanation:

Synthetic division can tell us the quadratic factor that remains when the factor (x-3) is divided out.

  g(x) = (x -3)(x^2 -4x -3)

The quadratic is not factorable over integers. Its vertex form is ...

  (x -2)^2 -7

so its roots are x = 2±√7.

That means the linear factorization of g(x) is ...

  g(x) = (x -3)(x -2-√7)(x -2+√7)

_____

I find it easy to learn the vertex form of the quadratic factor by using a graphing calculator to show the graph of the quadratic.

Answer:

The original cost of the pizza before the discount coupon and the tax was $49.28.

Step-by-step explanation:

Given that Heather paid $ 37.50 for a pizza to be delivered to her house, and she had a coupon for 30% off and there is a tax of 8%, to determine what was the total cost of the pizza to be delivered, the following calculation has to be done:

100 - 8 = 92

100 = 37.50

92 = X

92 x 37.50 / 100 = X

34.50 = X

100 - 30 = 70

70 = 34.50

100 = X

100 x 34.50 / 70 = X

49.28 = X

Thus, the original cost of the pizza before the discount coupon and the tax was $ 49.28.

Answer:

10.5

Step-by-step explanation:

I believe the graph is saying there is 6 glasses that have exactly 1¾ tablespoons. Therefore, you do 6 × 1¾ and get 10.5 or 10 ½ tablespoons

the answer is  " 10.5 "

Answer:

the larger number is 120

Step-by-step explanation:

sum of number = 200

total ratio = 2 + 3 = 5

ratio 1 = 200 ÷ 5 = 40

ratio 2 = 40 × 2 = 80

ratio 3 = 40 × 3 = 120

Answer:

220

Step-by-step explanation:

Area of square=8*20=160

Area of triangle=(6*20)/2=60

160+60

Answer:

220 units²

I'm sure this is the answer!

Answer:

y = -25

Step-by-step explanation:

The equation of line is given as :

y = -3x + 2

We need to find the value when x = 9.

Put x = 9 in the given equation. So,

y = -3(9)+ 2

= -27+2

= -25

So, the value of line is equal to -25.

Answer:

h=13

P=5

b=12

Step-by-step explanation: