if the mean of the numbers 2x,3x,4x and 3x is 12,then the sum of the numbers is?
a)4
b)12
c)48
d)80​

Answer:

12 or 13

Step-by-step explanation:

one of the two from my knowledge

Answer:

y = 11.82

Step-by-step explanation:

use cos:

⇒ cos = [tex]\frac{adjacent}{hypotenuse}[/tex]

⇒ cos 10 = [tex]\frac{12}{y}[/tex]

cos of 10 is 0.9848

⇒ 0.9848 =  [tex]\frac{12}{y}[/tex]

multiply 12 on both sides

⇒ 0.9848 x 12 =  [tex]\frac{12}{y}[/tex] x 12

⇒ 11.82 = y

Answer:

C

Step-by-step explanation:

Evolution is where organisms have developed over time from simple to complex. Therefore we can rule out D because older rock layers should have simple organisms and A because new rock layers should have more complex organisms. The previous organisms will be unlike those of today, therefore the correct answer is C.

Answer:

∠1 and ∠6

Step-by-step explanation:

Supplementary angles are two or more angles added together make 90°.

Right angles indicated by the small square at the corners.

∠2 and ∠5 are right angles.

So, any pair with ∠2 and ∠5 are not supplementary.

The only pair of angles that are not associated with ∠2 and ∠5 is: ∠1 and ∠6.

Answer:

86

Step-by-step explanation:

(2+2=4) 4 to the 3rd power is 64. 150 minus 64 is 86

Answer:

associative = (2 + 6) + 3 = 2 + (6 + 3)

commutative = 8x4=4x8

distributive is the one with 2(3+7)

identity of addition 9+0

identity of multiplication (16)(1)

Answer:

1

Explanation:

I used the calculator.

Answer:

The vertical axis on trending charts should almost always start at zero. The reason it's almost always is because you may have trending data that contains negative values or fractions. In those situations, it's generally best to keep Excel's default scaling.

There are no domain restrictions, even though there is a variable under the radical. Since , can never be negative. The least it can be is , so there is no danger of taking the square root of a negative number.

Step-by-step explanation:

Hope it is helpful....

Answer:

44

Step-by-step explanation:

remember stem equal tens place and leafs equal the ones place

so we can conclude that the largest number would be 44

Answer:

44

Step-by-step explanation:

To read a stem leaf plot, the stem portion will represent the tens place and the leaf portion represents the ones place. Therefore, the largest number represented by this plot would be 44.

Answer:

12

Step-by-step explanation:

You have to substitute a by 17 and then just subtract.

Answer:

C = 37.7

r = 6

Length - 0.740

Ok thanks for the points!

Answer:

4/3

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

Answer:

a) 0.000001 = 0.0001% probability that the shuttle is left with no computer control system on a mission.

b) 3 backup systems are needed.

Step-by-step explanation:

For each system, there are only two possible outcomes. Either it works, or is does not. Systems are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Three separate computer control systems

This means that [tex]n = 3[/tex]

The probability of failure for any one system on any one mission is known to be 0.01.

So the probability of working is:

[tex]p = 1 - 0.01 = 0.99[/tex]

(a) Find the probability that the shuttle is left with no computer control system on a mission. (Enter your answer to six decimal places.)

This is [tex]P(X = 0)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{3,0}.(0.99)^{0}.(0.01)^{3} = 0.000001[/tex]

0.000001 = 0.0001% probability that the shuttle is left with no computer control system on a mission.

(b) How many backup systems does the space shuttle need if the probability that the shuttle is left with no computer control system on a mission must be 1 over one hundred thousand

This is n for which:

[tex]P(X = 0) < \frac{1}{100000} = 0.00001[/tex]

With 2 backup systems, the probability is lower than this, so lets see if with only two is possible.

We find [tex]P(X = 0)[/tex] when [tex]n = 2[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{2,0}.(0.99)^{0}.(0.01)^{2} = 0.0001 > 0.00001[/tex]

So 3 backup systems are needed.

Answer:

n < -6

Step-by-step explanation:

-4n>24

Divide each side by -4, remembering to flip the inequality

-4n/-4 < 24/-4

n < -6

Answer:

n < -6

Step-by-step explanation:

We are given the following equation and asked to solve for n:

Divide both sides by -4 to isolate n by itself, and since we are dividing/multiplying a negative number on both sides, we need to flip the inequality sign:

Answer:

200 minutes

Step-by-step explanation:

Let us assume the number of minutes be x

Now the two equations are

$8 + 0.12x = 0

And, $18 + 0.7x = 0

In the case when the cost of the two plans is equal

So

$8 + 0.12x  = $18 + 0.7x

$8 - $18 = 0.7x - 0.12x

-$10 = -0.05x

x = 200 minutes

Answer:

formula is 6a²= surface area

but since one side is not being painted it is

5a²= surface area

5(3.2)²

=51.2cm

Area of shaded region = area of circle - area of segment

(where "segment" refers to the unshaded region)

Area of circle = π (11.1 m)² ≈ 387.08 m²

The area of the segment is equal to the area of the sector that contains it, less the area of an isosceles triangle:

Area of segment = area of sector - area of triangle

130° is 13/36 of a full revolution of 360°.  This is to say, the area of the sector with the central angle of 130° has a total area equal to 13/36 of the total area of the circle, so

Area of sector = 13/36 π (11.1 m)² ≈ 139.78 m²

Use the law of cosines to find the length of the chord (the unknown side of the triangle, call it x) :

x ² = (11.1 m)² + (11.1 m)² - 2 (11.1 m)² cos(130°)

x ² ≈ 404.82 m²

x = 20.12 m

Call this length the base of the triangle. Use a trigonometric relation to determine the corresponding altitude/height, call it y. With a vertex angle of 130°, the two congruent base angles of the triangle each measure (180° - 130°)/2 = 25°, so

sin(25°) = y / (11.1 m)

y = (11.1 m) sin(25°)

y ≈ 4.69 m

Then

Area of triangle = xy/2 ≈ 1/2 (20.12 m) (4.69 m) ≈ 47.19 m²

so that

Area of segment ≈ 139.78 m² - 47.19 m² ≈ 92.59 m²

Finally,

Area of shaded region ≈ 387.08 m² - 92.59 m² ≈ 294.49 m²

Answer:

X + 5 - 9

Step-by-step explanation:

Is your expression.

Answer:

A, B, & C are true.

Hope this helps & have a great rest of your day!

Answer:I believe the answer is A,B,C

Step-by-step explanation:

Question 7

Exponential functions have a variable degree.

Answer is 3^x + 6.

Question 8

Changing 15.3% to a decimal, we get 0.153.

Answer: Choice (4)

Probability (Ball goes into hole) = 0.22388 or 22.388%

Step-by-step explanation:

Given:

Ball goes into hole = 15 times

Ball miss the hole = 52 times

Find:

Probability (Ball goes into hole)

Computation:

Total number of tries = 15 + 52

Total number of tries = 67

Probability (Ball goes into hole) = 15 / 67

Probability (Ball goes into hole) = 0.22388 or 22.388%

Answer:

88.2 is your answer.

Answer:500

Step-by-step explanation:on delta math

Answer:

No; The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Step-by-step explanation:

Answer:

$68,840

Step-by-step explanation:

70,000*12%=8,400

8440+64,440=$68,840