please help fill in these blanks

Answer:

The correct answer is A:Let n = k. Then assume that 11" - 6 is divisible by 5. sorry if im wrong but if correct pls mark brainliest

Answer:

Step-by-step explanation:

Premise:  If n is a positive integer, then 11ⁿ-6 is divisible by 5.

Let n=1.

11¹-6 = 5, so the premise is true for n=1.

Suppose the premise is true when n is an integer greater than 1,

then 11ⁿ-6 is divisible by 5.

11ⁿ⁺¹-6 = 11·11ⁿ - 6

   = (10+1)11ⁿ - 6

   = (10·11ⁿ) + (1·11ⁿ) - 6

   = (10·11ⁿ) + (11ⁿ - 6)

Both terms are divisible by 5, so 11ⁿ⁺¹-6 is divisible by 5. Therefore, the premise holds true for n+1.

Proof by induction.

the world may never know

Answer:

Yeah, what the dude above me said.

Step-by-step explanation:

Answer:

D) 312 cubic yards

Step-by-step explanation:

large box = 9x8x4=288

small box = 2x3x4=24

288+24=312

Answer:

in average a it take both faucets together to fill the water cooler=(8+12)/2=10minutes

Answer:

This is not proportional. In order for it to be proportional the number from dividing y/x must be the same all the way through. Example:18/2=9 20/4=5

The answers are not the same, therefore x and y are not proportional. Hope this helped.

Step-by-step explanation:

Answer:

$7.29 per hour  at her new job.

Step-by-step explanation:

Answer:

$3.60

Step-by-step explanation:

Her hourly wage at her old job is 729/45 or $16.20 per hour. If her salary is increased by 10% then her wage weekly is $801.90. If her hours are reduced by 10% then she has to work 40.5 hours per week. This means you have to do  801.90/40.5 to get $19.80 per hour. So according to my math here she will make $3.60 more per hour at her new job. (Double check to make sure I'm correct)

Answer:

0.2916 = 29.16% probability that one of them is pre-diabetic

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have blood chemistry parameters consistent with a diagnosis of a pre-diabetic condition, or they do not. Each volunteer in independent of other volunteers. So 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.

10% of the adult population has blood chemistry parameters consistent with a diagnosis of a pre-diabetic condition.

This means that [tex]p = 0.1[/tex]

Of four volunteer participants in a health screening study, what is the probability that one of them is pre-diabetic

This is P(X = 1) when n = 4. So

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

[tex]P(X = 1) = C_{4,1}.(0.1)^{1}.(0.9)^{3} = 0.2916[/tex]

0.2916 = 29.16% probability that one of them is pre-diabetic

Answer:

John takes 20 steps in 10 yards.

Step-by-step explanation:

1 yard = 36 inches

10 yards = 36 x 10 = 360 inches

Since John's step covers 18 inches, divide 360 by 18.

360/18 = 20 steps

Answer:

2*square root 3, -2*square root 3, 1/3, -4

Step-by-step explanation:

Answer:

The answer is (-4/11, -19/11)

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation. Hoped this helped!

Brainly, Please?

Answer:

12 for the first one and twelve for the second one

Step-by-step explanation:

i think you can divide for the first one and second one if you divide 240÷20 you will get twelve and if you divide 180÷15 you will get 12

Answer:

7

Step-by-step explanation:

Answer:

75+ po e photo math nyo po sa play store I download nyo po

Step-by-step explanation:

sana po makatulong po

Answer:

38°

Step-by-step explanation:

y = 142°

x + y = 180°{ being supplementary angles }

x + 142° = 180°

x = 180° - 142°

x = 38°

Hope it will help :)

Answer: B.60

Step-by-step explanation:

9 divided by 15%=60

Answer:

a = 1.8 to the nearest tenth.

Step-by-step explanation:

Remark

I don't think this case is ambiguous. It has only 1 solution, I think.

Step One

Find the top angle.

All triangles have 180 degrees.

15 + 105 + x = 180

120 + x = 180                     Subtract 120 from both sides

x = 180 - 120

x = 60

Step Two: Find a

a/sin(60) = 2/Sin(105)       Multiply both sides by sin(60)

a = 2 *  Sin(60) / sin(105)

a = 2 * .8660 / 0.9659

a = 1.793

Answer:

1 m/s/s (1 meter per second per second)

Step-by-step explanation:

First, you need to divide 10 by 10, and that is 1. There is your answer!

Hope this helps!

(Please Brainliest if possible!!)

Answer:

C (7, -3)

Step-by-step explanation:

Reflecting on x causes the x value to change signs, then again on y changes the y value's sign.

Answer:

B

Step-by-step explanation:

-7 is the x and -3 is the y so flip would be (-7,3)

Answer:

a. 1/4

b. 1/4 ^ 5 = 1/1024

Answer:

Brian

Step-by-step explanation:

just did an ixl

Answer:

5 batches

Step-by-step explanation:

Total chocolate chips = 3 3/4 = 15/4

15/4 ÷ 3/4

15/4 × 4/3

= 5 batches

Answer:

Step-by-step explanation:

1 = 27

2 = 36

2 = 1,000

Answer:

3^3 = 27

6^2 = 36

10^3 = 1000

20,24,28,36,51,60 us the correct statement

Answer:

y + 12 = -2/3(x - 5)