MATHEMATICS COLLEGE

True or false Every number divisible by 9 is also by 3?

Answers

Answer 1

Answer:

Answer:

True

Step-by-step explanation:

9 is dividsible by 3 so every number divisable by nine is also divisable by three.

Answer 2

Answer:

Answer:

True

Step-by-step explanation:

Because 3 is a factor of 9.

Related Questions

8) Which equations below would be parallel by just looking at theequations1. y=2x + 10 and y= 3x -122. y= 4x -2 and y= 4x + 33. y=10 and y= 15x4. not given
Which phrase represents the algebraic expression 3d+7?
Jacob made a banner for a sporting event in the shape of a parallelogram. The area of the banner is 127 1/2 square centimeters. The height of the banner is 4 1/4 centimeters. What is the base of the banner?
During a chemistry experiment, the volume of a solution increases when distilled water is added to the solution at a constant rate of 100 mL/min. Initially, there are 50 mL of solution, and water is added for 5 min.
In ABC, a = 16, angle A= 30, angle B = 45, find b?

What is the area of this figure? Please help

Answers

Answer:

Step-by-step explanation:

The square has 4 sides with length 4

The right triangle has the right side equal to 4yd + 4yd(from the square) = 8yd

Using the Pythagorean Theorem, we find that the left side of the triangle has length = 10yd

The area of the whole thing is the area of the square + the area of the triangle

The formula for the area of a square with sides l is $A_s = l^2$

The area of the triangle is trickier, but you can imagine tracing a line in the left side and the upper side to form a rectangle, and the area of that is A = $l * L$ , the area of the triangle will be half the area of the rectangle so it'll be $A = (6 * 8)/(2) = 24 (yd)^(2)$

The total area will be;

Area of the square + Area of the triangle = $16 + 24 = 40 yd^(2)$

Use the complement to find the probability. Enter your answer in simplified fraction form.A spinner has 3 equal sections that are white, green, and blue. What is the probability of not landing on blue?

The probability of not landing on blue is

Answers

2/3 or 66.666666...% is the probability of it not landing on blue

Emily drove to town with an average speed of 32 miles per hour, and then back home with an average speed of 38 miles per hour. If her total traveling time was 42 minutes, how far is it from home to town?

Answers

Answer:

12.16 miles

Step-by-step explanation:

Speed - s, Distance - d, Time - t

Equation of time is:

t = d/s

Given,

s1 = 32 m/h, s2 = 38 m/h, t1 + t2 = 42 min = 42/60 h = 7/10 h

Total time is the sum of time values to and from the town:

d/32 + d/38 = 7/10
d/16 + d/19 = 7/5
d(1/16 + 1/19) = 7/5
d(16 + 19) = 7(16*19)/5
35d = 425.6
d = 425.6/35
d = 12.16

It is given that,

→ s1= 32 miles/h

→ s2 = 38 miles/h

Now t1 + t2 is,

→ 42 min

→ 42/60 hours

→ 7/10 hours

The formula we use,

→ Time = Distance/Speed

→ t = d/s

Then the total time is the,

Sum of time values to and from the town.

→ d/32 + d/38 = 7/10

→ d/16 + d/19 = 7/5

→ d{(1/16) + (1/19)} = 7/5

→ d(16 + 19) = (7/5) × (16 × 19)

→ 35d = 425.6

→ d = 425.6/35

→ d = 12.16

Hence, the distance is 12.16 miles.

PLEASE WRITE THE EQUATION THAT IS WHAT IT IS ASKING!! THE EQUATION IS IN SLOPE INTERCEPT FORM!!

Answers

Answer:

y = -3x-5

Step-by-step explanation:

The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation. Recently, Southwest Air had the best reate with 80 % of its flights arriving on time. A test is conducted by randomly selecting 10 Southwest flights and observing whether they arrive on time. (a) Find the probability that at least 3 flights arrive late.

Answers

Answer:

There is a 32.22% probability that at least 3 flights arrive late.

Step-by-step explanation:

For each flight, there are only two possible outcomes. Either it arrives on time, or it arrives late. This means that we can solve this problem using binomial probability concepts.

Binomial probability distribution

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

$P(X = x) = C_(n,x).\pi^(x).(1-\pi)^(n-x)$

In which $C_(n,x)$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_(n,x) = (n!)/(x!(n-x)!)$

And $\pi$ is the probability of X happening.

In this problem, we have that:

There are 10 flights, so $n = 10$ .

A success in this case is a flight being late. 80% of its flights arriving on time, so 100%-80% = 20% arrive late. This means that $\pi = 0.2$ .

(a) Find the probability that at least 3 flights arrive late.

Either less than 3 flights arrive late, or at least 3 arrive late. The sum of these probabilities is decimal 1. This means that:

$P(X < 3) + P(X \geq 3) = 1$

$P(X \geq 3) = 1 - P(X < 3)$

In which

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)$

$P(X = x) = C_(n,x).\pi^(x).(1-\pi)^(n-x)$

$P(X = 0) = C_(10,0).(0.2)^(0).(0.8)^(10) = 0.1074$

$P(X = 1) = C_(10,1).(0.2)^(1).(0.8)^(9) = 0.2684$

$P(X = 2) = C_(10,2).(0.2)^(2).(0.8)^(8) = 0.3020$

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.1074 + 0.2684 + 0.3020 = 0.6778$

Finally

$P(X \geq 3) = 1 - P(X < 3) = 1 - 0.6778 = 0.3222$

There is a 32.22% probability that at least 3 flights arrive late.

Final answer:

The problem is solved by calculating the probability of the complementary event (0,1,2 flights arriving late) using the binomial distribution, then subtracting this from 1 to find the probability of at least 3 flights arriving late.

Explanation:

This problem is typically solved by using a binomial probability formula, which is used when there are exactly two mutually exclusive outcomes of a trial, often referred to as 'success' and 'failure'.
Here, our 'success' is a flight arriving late. The probability of success, denoted as p, is thus 20% or 0.2 (since 80% arrive on time, then 100%-80% = 20% arrive late). The number of trials, denoted as n, is 10 (the number of randomly selected flights).
We want to find the probability that at least 3 flights arrive late, in other words, 3,4,...,10 flights arrive late. The problem can be solved easier by considering the complementary event: 0,1,2 flights arrive late. Then subtract the sum of these probabilities from 1.

The binomial probability of exactly k successes in n trials is given by:

P(X=k) = C(n, k) * (p^k) * ((1-p)^(n-k))
Where C(n, k) is the binomial coefficient, meaning choosing k successes from n trials.
We calculate like so:
P(X=0) = C(10, 0) * (0.2)^0 * (0.8)^10
P(X=1) = C(10, 1) * (0.2)^1 * (0.8)^9
P(X=2) = C(10, 2) * (0.2)^2 * (0.8)^8
Sum these up and subtract from 1 to get the probability that at least 3 flights arrive late. This gives the solution to the question.

Learn more about binomial probability here:

brainly.com/question/34083389

#SPJ3

What is true when you rent? A.you build equity in your house,B.you are responsible for any repairs,c. You pay fewer up front costs

Answers

Answer: C you pay fee fewer upfront cost

Step-by-step explanation:

Other Questions

Drag the tiles to the correct boxes to complete the pairs. Match the percent error with its scenario.10%12.5%15%20%

emanuel played a game where he got a point if he drew s red marble out of a bag and flipped a coin that landed on heads. what is the probability that he will get a point on his first turn

What sample size is needed to give a margin of error within in estimating a population mean with 95% confidence, assuming a previous sample had .

EP-21 What is a requirement for fire extinguishers on a boat?Must be filled with waterMust be red or orange in colorMust be Coast Guard approvedMust be permanently mounted