Show your work to get full credit. Solve the following problem with any method you want.

1.5 x 32

Answer:

18: Safe volume: s <= 115. Unsafe: s > 115.

19: 2-a, 1-b, 3-c, 4-d

20a: Justin is incorrect. 12 is a solution. 12 >= 12 is a true statement.

20b: f > 12

Step-by-step explanation:

Answer: use division

Step-by-step explanation:

Answer:

look up

Step-by-step explanation:

Answer:

1) D and R are NOT independent events

2) The probability of electing a Republican president and an economic decline in 2020 is 0.224

3) If we experience an economic decline in 2016, the probability that a Republican president will have been elected in 2020 is 0.9739

4) the probability of economic decline or a Republican president elected in 2020 or both is 0.646

Step-by-step explanation:

Let "D" represent the event of an economic decline, and "R" represent the event of election of a Republican president

Given that;

P(D) = 0.23

P(R) = 0.64

Conditional P(D | R) =  0.35

1) Are R and D independent events?

we know that two events A & B are independent events if; P(B | A) = P(B)

here, P(D | R) =  0.35 and P(D) = 0.23

so; P(D | R) ≠ P(D)

Therefore D and R are NOT independent events

2) The probability of electing a Republican president and an economic decline in 2020;

we know that;

P(D | R) = P(D ∩ R) / P(R)

we substitute

0.35 = P(D ∩ R) / 0.64

P(D ∩ R) = 0.35 × 0.64

P(D ∩ R)  = 0.224

Therefore, The probability of electing a Republican president and an economic decline in 2020 is 0.224

3) If we experience an economic decline in 2016, what is the probability that a Republican president will have been elected in 2020?

P(R | D) = P(D ∩ R) / P(D)

we substitute

P(R | D) = 0.224 / 0.23

P(R | D) = 0.9739

Therefore, If we experience an economic decline in 2016, the probability that a Republican president will have been elected in 2020 is 0.9739

4) the probability of economic decline or a Republican president elected in 2020 or both

P(D ∪ R) = P(D) + P(R) - P(D ∩ R)

we subtitute

P(D ∪ R) = 0.23 + 0.64 - 0.224

P(D ∪ R)  = 0.646

Therefore, the probability of economic decline or a Republican president elected in 2020 or both is 0.646

Answer:

7 hours

So you so 642-425= 217, then you do 217/31= 7

your answer is 7

Answer:

The major difference between square and rectangle is that a square has all its sides equal whereas a rectangle has its opposite sides equal. In Geometry, we have learnt different types of shapes such as square, rectangle, cube, cone, cylinder, parallelogram, rhombus, and so on.

All these shapes can fall under any one of the categories such as two-dimensional shapes or three-dimensional shapes. All the shapes can share a few characteristics. But they have many different characteristics properties that differentiate the shapes from each other. In this article, let us discuss the difference between a rectangle and a square in detail.

The number, such that the geometric mean of the number and four times the number is 22, will be 11.

The arithmetic mean of two numbers [a] and [b] is equal to (a + b)/2  and their geometric mean is equal to  [tex]\sqrt{ab}[/tex]

We have the geometric mean of a number and four times the number is 22.

According to the question, we can write -

G.M. = [tex]\sqrt{ab}[/tex]

Assume that the number is [x]. Then the second number will be [4x]. So -

22 = √4x²

22 = √(2x)²

2x = 22

x = 11

Therefore, the number, such that the geometric mean of the number and four times the number is 22, will be 11.

To solve more questions on Arithmetic and Geometric averages, visit the link below -

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Answer:

Step-by-step explanation:

70

Answer:

Error

Step-by-step explanation:

Unfinished question

Answer:

Answer : - diagonals of rhombus are perpendicular. According to the property of rhombus. Diagonals of rhombus are perpendicular. In this question the triangle NQM is a right angled triangle and it is clear that it is right angled triangle because he mentioned angle MQN = 90°

Answer:

A=2(wl+hl+hw)

Step-by-step explanation:

Answer:

Step-by-step explanation:

E.......................

Answer:

Whats the question?

Step-by-step explanation:

Answer:

Answer is (4) 4/3

Step-by-step explanation:

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

[tex]\frac{4}{3}[/tex]

Answer:

slope is 4/3

Step-by-step explanation:

1-(-3)/5-2

4/3

Answer:

76 cm cubed

Step-by-step explanation:

2 x 2 x 4 = 16 cm cubed

3 x 4 x 5 = 60 cm cubed

Answer:

25

Step-by-step explanation:

225 divided by 9 is 25

Answer:

- 13 × k = -13k

good luck, hope this helps :)

Answer:

26.7777778 or 26.78 rounded

Step-by-step explanation:

Answer:

17, 18

Step-by-step explanation:

closest perfect square that is lower than 307 is 289

closest perfect square that is greater than 307 is 324

[tex]\sqrt{289} < \sqrt{307} < \sqrt{324}[/tex]

[tex]17<\sqrt{307} <18[/tex]

Answer: 4 feet.

Step-by-step explanation:

Proportion from lawn ornament to its shadow = 6ft : 18ft = 1 : 3

Proportion from baby elephant to its shadow = x : 12ft

These proportions have to be equal, because if it is the same time of day, the different object's shadows will have the same proportions.

In order to solve this problem, we need to cross multiply. (Attached image)  

So, 3x = 12.

By solving this equation, we find that x = 4

The height of the baby elephant is 4 feet.

I am not a professional, simply using prior knowledge!

Note- It would mean the world to me if you could mark me brainliest!

Answer:

f=8/5

Step-by-step explanation:

f*2+=f7

2f+8=f*7

2f+8=7f

2f=7f-8

2f-7f=-8

-5f=-8

The geometric sequence is a sequence with a common ratio. The common ratio is the ratio between the succeeding term and the preceding term of a sequence and must be equal to a constant k.

Given a sequence 2, 4, 8, 16... This sequence is geometric in nature because of a constant common ratio of 2.'

Common ratio = 4/2 = 8/4 = 2

Hence a geometric sequence is characterized by its common ratio

Answer:

91%

Step-by-step explanation:

Hope I helped:)

Answer:

A2 + B2 = C2, so 4 squared + 19 squared = C2, 16 + 361 = 377. 377's square root is 19.4.

Step-by-step explanation:

The measure of the hypotenuse is 19.4 cm.

Given that, one of the legs of a right triangle measures 4 cm and the other leg measures 19 cm.

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

Let the measure of the hypotenuse be x.

Using Pythagoras theorem,

x² = 4² + 19²

⇒ x² = 16 + 361

⇒ x² = 377

⇒ x = √377

⇒ x = 19.4 cm

Therefore, the measure of the hypotenuse is 19.4 cm.

To learn more about the Pythagoras theorem visit:

https://brainly.com/question/21926466.

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Answer:

they ate 1/3 and thrte is 2/3 left

Step-by-step explanation:

subtraction

One-third of the pizza will be left

Let the total amount of pizza eaten be "x

Total pizza ate = x/3 + x/3

Total pizza eaten = 2x/3

Amount of pizza left = x - 2x/3

Amount of pizza left = (3x-2x)/3

Amount of pizza left = x/3

Hence one-third of the pizza will be left

Learn more on ratio and proportion here: https://brainly.com/question/21602143