What is the probability that a month picked at random will have 31 days? A.5/12
B.4/12
C.7/12
D.8/12

Answers

Answer 1
Answer: There are 12 months.  7 of them have 31 days (Jan, Mar, May, July, Aug, Oct, Dec).  4 of them have 30 days (Apr, June, Sep, Nov).  1 of them has 28 or 29 days (Feb).  Based on this knowledge, the probability of picking a month with 31 days at random is C, 7/12.

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Write the equation of the line of best fit using the slope-intercept formula y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.

Answers

Answer:

y=x+3

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-intercept

step 1

Find the slope

Take two points from the graph

see the attached figure

about (37,40) and (47,50)

The formula to calculate the slope between two points is equal to

m=(y2-y1)/(x2-x1)

substitute

m=(50-40)/(47-37)

m=(10)/(10)=1

step 2

Find the y-intercept

we have

m=1\npoint\ (37,40)

substitute in the linear equation

40=(1)(37)+b

solve for b

b=3

therefore

The linear equation is

y=x+3

drew has 4 pieces of rope 1 meter long each. He cuts each rope into fifths. How many fifths will he have after cutting all the rope.

Answers

Drew will have 20 fifths. I hope this helped you!

What number is exactly divisible by 9

Answers

45, 90, 27, are all numbers dividible by 9

9, 18, 27....basically anything that is multiplied by 9

A study revealed that, compared with children who do not have autism, most autistic children have underdeveloped motor skills. However, siblings of autistic children do not have any motor impairment.Based on this excerpt, we can conclude that autism .

Answers

Answer:

b) Is associated with motor impairment but does not cause it

Step-by-step explanation:

The study didn't explain the timeline of their findings, so we can conclude this research takes data at one time. Research that doesn't take before and after exposure data cannot be used to derive causation since we can't prove that the condition happens after the exposure. But this study still can predict association by risk ratio or odds ratio depends on the study design.

Answer:  I used the answer b) Is associated with motor impairment but does not cause it ... on the Plato test and got the answer wrong.  Choose a different answer.

Step-by-step explanation:

How can you change linear equation in form ax+by=c to y=mx+b form and vice versa

Answers

Arithmetic operations can be used to change linear equations in form ax+by=c to y=mx+b form and vice versa and this can be determined by simple subtraction and division operation.

Given :

ax + by = c

y = mx + c

The following steps can be used to change the linear equation in form (ax+by=c) to (y=mx+b) form:

Step 1 - Write the equation.

ax + by = c

Step 2 - Subtract ax from both the sides in the above equation.

ax + by - ax = c - ax

by = c - ax

Step 3 - Divide by 'b' from both sides in the above equation.

y = (-a)/(b)x+(c)/(b)

By following the above steps equation (ax + by = c) can be converted into (y = mx + c).

The following steps can be used to change linear equation in form (y = mx + c) to (ax + by = c) form:

Step 1 - Write the equation.

y = mx + c

Step 2 - Subtract mx from both sides in the above equation.

y - mx = c + mx -mx

y - mx  = c

By following the above steps equation (y = mx +c) can be converted into (ax + by = c).

For more information, refer to the link given below:

brainly.com/question/13101306

You simply have to take the linear equation form (ax + by = c) and solve for y. So you get:
by = c - ax
y = c/b - ax/b

Since c/b will be a constant, you can replace it with any variable (i.e. b), and so that represents the y-intercept and a/b will also be a constant, so that can also be replaced by any variable (i.e. m), and it represents the slope.

Determine the quotient of 3/5 and 2/3

Answers

The quotient of 3/5 and 2/3 is 9/10 and this can be determined by using the arithmetic operations.

Given :

Number 1 - 3/5

Number 2 - 2/3

The following steps can be used to determined the quotient of 3/5 and 2/3:

Step 1 - First, divide 3/5 by 2/3.

=((3)/(5))/((2)/(3))

Step 2 - Now, multiply 3/5 and 3/2.

=(3)/(5)* (3)/(2)

Step 3 - Multiply 3 and 3 in the above expression.

=(9)/(5* 2)

Step 4 - Multiply 5 and 2 in the above expression.

=(9)/(10)

The quotient of 3/5 and 2/3 is 9/10 and this can be determined by using the arithmetic operations.

For more information, refer to the link given below:

brainly.com/question/3075170

Answer:

The result is (9)/(10)

Step-by-step explanation:

Below are the steps to divide fractions:

  1. The 1st fraction remains untouched.
  2. The division sign turns into a multiplication sign.
  3. Flip the 2nd fraction over (finding its reciprocal)
  4. Multiply the numerators (top numbers) together
  5. Multiply the denominators (bottom numbers) together.
  6. Simplify the resulting fraction by dividing both numerator and denominator by the same number.

Let's follow the above steps:

Steps 1, 2 and 3 can be done together.

(3)/(5):(2)/(3) = (3)/(5).(3)/(2)

As you can see, we leave 1st fraction alone, change division sign (:) by multiplication sign (.), and flip 2nd fraction over.

Now, we can do steps 4 and 5...

(3)/(5):(2)/(3) = (3)/(5).(3)/(2) = (3.3)/(5.2) = (9)/(10)

Finally, step 6, we cannot simplify the resulting fraction since both numerator and denominator have no common factors.

9 = 3 . 3

10 = 2 . 5