The probability that it rains in London on any particular day is 0.3.
If it rains then the probability of it raining the following day decreases to 0.15.
Consider the next two days.
What is the probability it rains on both days?

Answer:

look up

Step-by-step explanation:

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

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:

26.7777778 or 26.78 rounded

Step-by-step explanation:

Answer:

23,200

Step-by-step explanation:

A = P(1 + rt)

A = 16,000(1 + (0.09)(5))

Simplify brackets first

A = 16,000(1 + 0.45)

A = 16,000(1.45)

A = 23,200

Answer:

A=2(wl+hl+hw)

Step-by-step explanation:

Answer:

We know that the ratio of length and breadth of a rectangular playground is 3:2

Then if the length is L, and the breadth is B, we have the relationship:

L = (3/2)*B

Outside this playground, we have a jogging track of 2m, then if we also consider the jogging track the length and breadth are:

L' = L + 2m

B' = B + 2m

The area is the product between the area and the breadth, then the area is:

A = B'*L'

A = (L + 2m)*(B + 2m)

And remember that L = (3/2)*B

Then we get:

A =  ((3/2)*B + 2m)*(B + 2m)

And the area is 2816 m^2

Then we have:

A =  ((3/2)*B + 2m)*(B + 2m) = 2816 m^2

Now we can solve the equation:

((3/2)*B + 2m)*(B + 2m) = 2816 m^2

(3/2)*B^2 + 3m*B + 2m*B + 4m^2 = 2816 m^2

(3/2)*B^2 + 5m*B =  2816 m^2 - 4m^2 = 2812m^2

Then we can write:

(3/2)*B^2 + 5m*B -  2812m^2 = 0

We can solve this if we use Bhaskara's formula:

[tex]B = \frac{-(5m) +- \sqrt{(5m)^2 - 4*(3/2)*(-2812m^2)} }{2*(3/2)} = \frac{-5m +-130m}{3}[/tex]

One solution is negative, so we can discard that one, then we only take the positive:

B = (-5m + 130m)/3 = 41.67m

And L = (3/2)*B

L = (3/2)*40.7m = 62.5m

The breadth is 41.67 meters and the length is 62.5 meters.

Answer:

25

Step-by-step explanation:

225 divided by 9 is 25

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:

x = 1.02564

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

35 + 0.8x = 43 - 7x

Step 2: Solve for x

Answer:

76 cm cubed

Step-by-step explanation:

2 x 2 x 4 = 16 cm cubed

3 x 4 x 5 = 60 cm cubed

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:

responde la pregunta tú sólo déjame en paz

The 51 gram of sugar has 204 calorie and there is 62.5 gram of sugar in 250 calories.

A measurement unit is a unit to measure certain quantities.

For example, the mass can be measured in kilograms, length can be measured in meter and time can be measured in seconds.

To find the measurement of a new quantity knows units can be used in operation. As to find the unit for speed we use m/s as a unit, where, m is the unit of distance and s is the unit of time.

Solve these problems using the conversion unit for calorie to gram.

(1) 1 gram = 4 calories

Then, 51 grams = 51 × 4

                         = 204 calories

(2) 4 calorie = 1 gram

    1 calorie = 1/4 gram

    250 calorie = 1/4 × 251

                        = 62.5 gram

Hence, smoothie containing 51 gram sugar has 204 calories and in 250 calories of smoothie there is 62.5 gram of sugar.

To know more about measurement unit click on,

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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: use division

Step-by-step explanation:

Answer:

Faces

Step-by-step explanation:

They both have 5 faces each....

Hope it helps!!!

Complete question :

A grocer sells mangos for $4 per pound and apples for $3 per pound. The grocer starts with

45 pounds of mangos and 50 pounds of apples each day. The grocer's goal is to make atleast $300 each day. What combinations of mangos and apples that could be sold to meet the goal. List two possible

combinations

Answer:

m = 45 ;a = 40

m = 45 ; a = 45

Step-by-step explanation:

Mangoes, m = $4

Apples, a = $3

Total :

45 pounds of mangoes

50 pounds of apple

4m + 3a ≥ 300

If m = 45

a = 40

4(45) + 3(40)

180 + 120 = 300

If m = 45 ; a = 45

4(45) + 3(45)

180 + 135 = 315

Hence, 2 possible combination :

m = 45 ;a = 40

m = 45 ; a = 45

For all possible solutions :

4m + 3a ≥ 300

Answer:

- 13 × k = -13k

good luck, hope this helps :)

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.

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:

Error

Step-by-step explanation:

Unfinished question

Answer:

Step-by-step explanation:

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

Answer:

7 hours

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

your answer is 7

Answer:

$4.30

Step-by-step explanation:

19.35/9 = 2.15 per pane

2.15 x 2 = 4.3

Answer:

Whats the question?

Step-by-step explanation:

Answer:

91%

Step-by-step explanation:

Hope I helped:)

Answer:

x=21

Step-by-step explanation:

69+90= 159

180-159=21