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3 years ago

The sum of 33 consecutive even numbers is 78. What is the second number in this sequence?

Mathematics

1 answer:

hjlf3 years ago

3 0

Answer: The second number is 26

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. Let's call:

x: The first even number.

x+2: the second consecutive even number.

x+4: the third consecutive even number.

2. So, you know that the sum ot the 3 consecutive numbers is 78, therefore, you must add them, as you can see below:

$x+(x+2)+(x+4)=78\\3x+6=78\\3x=78-6\\3x=72\\x=\frac{72}{3}\\x=24$

3. Substitute the value obtain into x+2. Therefore, the second number is:

$x+2=24+2=26$

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A passenger train has tickets available for 12 window seats and 8 aisle seats. The next person to buy a ticket will be randomly

Svetradugi [14.3K]

Answer:

2/5

Step-by-step explanation:

There is an 8/20 chance that the next person will receive a window seat. You simplify that probability to get your answer. 8/20 becomes 2/5. So the answer is 2/5.

7 0

3 years ago

Which expression has a value of 66? A. (16 ÷ 3.2) × 2 + 0.2 × (8 + 82) B. [(16 ÷ 3.2) × (2 + 0.2)] × 8 + 82 C. 16 ÷ [(3.2 × 2) +

Setler [38]

Answer: none

Step-by-step explanation:

(A)

(16÷32/10) ×2 + 0.2×(90)

Using bodmas principle ; solve bracket

(16×10/32)×2 + (2/10×90)

10+18 =28

(B)

{(16÷32/10) × (2+2/10)} ×90

Open brackets

{(16×10/32) × (22/10)} ×90

(5×11/5) ×90

11×90 = 990

(C)

16÷{(32/10×2) + (2/10×8)} +82

Open brackets, solve division first, dolled by addition

16÷(32/5 + 8/5) +82

16÷(40/5) +82

16÷8 +82

2+82= 84

(D)

[16÷(32/10 ×2) + 0.2× (90)]

16÷ (32/5) + 2/10 ×90

Solve division

16×5/32 + 18

5/2 + 18

L.c.m of denominator (2&1) =2

(5+36) / 2 = 41/2

=20.5

8 0

3 years ago

If Karri takes a 7 question true false test and guess on every question, what is the

dusya [7]

Answer:

The probability that she gets all 7 questions correct is 0.0078.

Step-by-step explanation:

We are given that Karri takes a 7 question true-false test and guess on every question.

The above situation can be represented through binomial distribution;

$P(X = r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,........$

where, n = number of samples (trials) taken = 7 question

r = number of success = all 7 questions correct

p = probability of success which in our question is probability that

question is correct, i.e. p = 50%

Let X = Number of question that are correct

So, X ~ Binom(n = 7, p = 0.50)

Now, the probability that she gets all 7 questions correct is given by = P(X = 7)

P(X = 7) = $\binom{7}{7} \times 0.50^{7} \times (1-0.50)^{7-7}$

= $1 \times 0.50^{7} \times 0.50^{0}$

= 0.0078

6 0

3 years ago

What is the height, in yards, of a cylindrical water tank that holds 1,884 cubic yards of water and has a diameter of 120 feet?

mafiozo [28]

Answer:

The height of the tank is 0.5 yards.

Step-by-step explanation:

To determine what is the height, in yards, of a cylindrical water tank that holds 1,884 cubic yards of water and has a diameter of 120 feet, knowing that the volume of a cylinder is equal to pi multiplied by the radius squared, multiplied by the height, the following calculation must be done:

1 foot = 0.3333 yards

R = Diameter / 2

R = 120/2 = 60

3.14 x 60 ^ 2 x H = 1,884

3.14 x 3,600 x H = 1,884

3.14 x 1,200 x H = 1,884

3.768 x H = 1.884

H = 1,884 / 3,768

H = 0.5

Therefore, the height of the tank is 0.5 yards.

7 0

3 years ago

Name the property of real numbers illustrated by the equation (x + 8) + 4 = x + (8 + 4)

Hitman42 [59]

Answer:

D. Associative Property

Step-by-step explanation:

The group is being switched around.

7 0

3 years ago

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