HELP PLSSSSSSSS!!! TY!!! If the sum of four consecutive numbers is 1998, what is the third number? The third number is ?

Answer:

a. -3

b. +100

Step-by-step explanation:

descreased is subtracting which would be a -3

deposited means added which would be a +100

The reason why the events "choosing an odd number" and "choosing an even number" are mutually exclusive is; Choice D; a number is either even or odd.

It follows from probability theory, that two events are characterized as mutually exclusive if they cannot both occur at the same time. A very good example is the set of outcomes of a single die roll, which can result in any of the 6 outcomes.

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The possible quantum numbers for the value of n=4 will be i=0,1,2,3.

The number of elements in a quantum is the count of 0 to n - 1 where n is the principal quantum number. There are 4 different values of i in quantum number n =4.

Given that:

[tex]n=4[/tex] -- quantum number

To count the quantum numbers (i), we make use of the following set:

[tex]i=[0,1,2,3............n-1][/tex]

The value of n is: [tex]n=4[/tex]

So, the set will be populated as follows

[tex]i=(0,1,2,3)[/tex]

The number of elements in the set is 4.

This means that there are 4 different values of i

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The questions are all illustrations of conditional probabilities, and they can be solved using the general conditional probability formula; P(A|B) = P(A and B)/P(B)

The conditional probability P(A|B) is calculated using:

P(A|B) = P(A and B)/P(B)

Using the above formula, we have:

P(has at least 4 sides| not a hexagon) = 38/50

P(has at least 4 sides| not a hexagon) = 0.76

P(not a square | has less than 7 sides) = 30/45

P(not a square | has less than 7 sides) = 0.67

P(not an octagon | not a triangle) = 39/51

P(not an octagon | not a triangle) = 0.76

P(octagon | sum of interior angle measures is at least 600) = 9/25

P(octagon | sum of interior angle measures is at least 600) = 0.36

The conditional probability is calculated using:

P = P(perfect attendance and honor roll)/P(Honor roll)

So, we have:

P = 25%/38%

Evaluate

P = 0.66

Hence, the probability that a student has a perfect attendance, given that he made the honor roll is 0.66

The conditional probability is calculated using:

P = P(Home has a pool and at least 3 bedrooms)/P(at least 3 bedrooms)

So, we have:

P = 25%/70%

Evaluate

P = 0.36

Hence, the probability that a home has a pool, given that it has at least 3 bedrooms is 0.36

Using the conditional probability formula in (a), we have:

P(uses Ins tag ram| does not use Sna pch at) = 45/(20 + 45)

P(uses Ins tag ram| does not use Sna pch at) = 0.69

P(does not use Ins tag ram| uses Sna pch at) = 25/(30 + 25)

P(uses Instag ram| does not use Sna pch at) = 0.45

Using the conditional probability formula in (a), we have:

P(plays sport| has a part-time job) = 22/68

P(plays sport| has a part-time job) = 0.32

P(has a part-time job| plays sport) = 22/40

P(has a part-time job| plays sport) = 0.55

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Answer:

18

Step-by-step explanation:

area = length of one side² for a square

324 square feet = length of one side²

square root both sides to isolate the length of the side

√(324 square feet)= the length of the side = 18 feet

Answer: the product of this question is 858

Step-by-step explanation:

The horizontal distance from the base of the skyscraper out to the ship will be 1140 feet.

Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.

Given that:-

The horizontal distance will be calculated by applying the angle property in the right angle triangle.

tan45  =  (  P  /  B  )

B  =  P  /  tan45

B  =  P                                 Since ( tan45 =1 )

B  =  1140 feet.

Therefore the horizontal distance from the base of the skyscraper out to the ship will be 1140 feet.

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Answer:

He can save 20 dollars

Step-by-step explanation:

He can buy one 100 token amount and one 25 token amount. This will cost 20 + 10 dollars, or 30 dollars. If each friend buys 25 tokens, it will cost

10 * 5 dollars, or 50 dollars. 50 - 30 = 20. So he can save 20 dollars.

Answer:

C. 6 units

Step-by-step explanation:

(-3, 2) and (-3, -4)

2-(-4)=6

-3-(-3)=0

1) All angles of a rectangle are right angles, so the measure of angle CBA is 90 degrees.

2) Since all angles of a rectangle are right angles, angle BAD measures 90 degrees. Subtracting the 25 degrees of angle BAW from this, we get that angle CAD has a measure of 65 degrees.

3) Opposite sides of a rectangle are parallel, so by the alternate interior angles theorem, the measure of angle ACD is 25 degrees.

4) Because diagonals of a rectangle are congruent and bisect each other, this means BW=WA. So, since angles opposite equal sides in a triangle (in this case triangle ABW) are equal, the measure of angle ABW is 25 degrees. This means that the measure of angle CBD is 90-25=65 degrees.

5) In triangle AWB, since angles in a triangle add to 180 degrees, angle BWA measures 130 degrees.

6) Once again, since diagonals of a rectangle are congruent and bisect each other, AW=WD. So, the measures of angles WAD and ADW are each 65 degrees. Thus, because angles in a triangle (in this case triangle AWD) add to 180 degrees, the measure of angle AWD is 50 degrees.

Answer:

answer is option A

Step-by-step explanation:

Sure hope this helps uou :)

Answer:

x=0 or x=-2 or x=2

Step-by-step explanation:

Check attached image below

We have

arctan(-1) = -π/4

cos(-π/4) = 1/√2

and

arccos(√3/2) = π//6

sin(π/6) = 1/2

Then

cos(arctan(-1)) / sin(arccos(√3/2)) = (1/√2) / (1/2) = √2

Answer:

6.75 square feet

Step-by-step explanation:

[tex]4.5 \times 1.5 = 6.75[/tex]

So the volume is 6.75 square feet.

Answer:

10 units

Step-by-step explanation:

General equation of an ellipse

[tex]\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1 \quad \textsf{where }(h \pm a,k)\: \textsf{and}\:(h, k \pm b)\: \textsf{are the vertices}[/tex]

Major Axis:  longest diameter of an ellipse

Minor Axis:  shortest diameter of an ellipse

Major radius:  one half of the major axis

Minor radius:  one half of the minor axis

If a > b the ellipse is horizontal, a is the major radius, and b is the minor radius.

If b > a the ellipse is vertical and b is the major radius, and a is the minor radius.

Given equation:

[tex]\dfrac{(y-4)^2}{25}+\dfrac{x^2}{9}=1[/tex]

[tex]\implies \dfrac{x^2}{9}+\dfrac{(y-4)^2}{25}=1[/tex]

Comparing with the general equation:

As b > a then the ellipse is vertical and b is the major radius.

⇒ Major axis = 2 × Major Radius

                      = 2b

                      = 2 × 5

                      = 10

Also, the vertices are:

Answer:

90 degrees.

Step-by-step explanation:

Assuming x is the bottom right of the blue triangle, x would be 90 degrees, since the triangle has a right angle.

Right angles are always 90 degrees.

I think is may be what you're looking for, hope this helps! If not, please do let me know.

Answer:

x = 20

Step-by-step explanation:

You know that these 2 triangles are similar, so you can set a proportion! That is a quality that all similar triangles have.

I've redrawn the triangles to make it easier to view, as well as setting up the proportion. Please do know you can use 6 to 12 = 25 to x, there are multiple ways of solving this.

Answer:

78*10 = 780N

Step-by-step explanation:

So simply, the weight of the man is asked

So to find it we must multiply the mass of the man which is 78 kg according to this by the gravitational acceleration which is usually taken as 10 meters per square second.

Answer:

764.4 N

Step-by-step explanation:

Given :

Solving :

Answer:

ok so first you add all the prices together.

$9:00+$7:00+$8:00+$6:00+$4:00=34

then divide 34 by the number of prices.

34/5

then you get the mean

$6.8 is the mean

Step-by-step explanation:

Let

potato be 9x,cheese be 2x and onion be x

Cheese

Total 175gs

Total cost

Answer:

£12.86 (nearest pence)

Step-by-step explanation:

Given ratio:

Sum the ratios:  

⇒ 9 + 2 + 1 = 12

Divide the total weight by the sum of the ratios:

⇒ 6000 g ÷ 12 = 500

Multiply each ratio by 500 to find the amount of each ingredient needed to make 6000 g of potato cakes:

⇒ potato = 9 × 500 = 4500 g

⇒ cheese = 2 × 500 = 1000 g

⇒ onion = 1 × 500 = 500 g

If 175 g of cheese costs £2.25, then 1000 g of cheese costs:

⇒ (2.25 / 175) × 1000 = £12.86 (nearest pence)

Answer:

17.5%

Step-by-step explanation:

I took the test and got it right

Answer:

THE ANSWER IS C) "17.5%"

Para estudiantes de Español:

LA RESPUESTA ES C) "17.5%"

Step-by-step explanation:

PICK C)!

ELIJA C)!

Answer:

36 [tex]cm^{2}[/tex]

Step-by-step explanation:

Answer:

36cm² is the answer.....

Answer: 2.8%

Step-by-step explanation: 1/6 * 1.6 = 1/36   1/36 = 0.0277 = 2.8%

Answer:

70*

Step-by-step explanation:

Answer:

it would be 70 because the angles need to equal 360 degrees and the top of each I 138 so is the bottom so the sides will be 70