The random variable x is the number of shots it takes before you make the first free throw in basketball. assuming the probability of success (making a free throw) is constant from trial to trial, what type of distribution does x follow?

4 and 26 are the width and length

Answer:

B) SAS congruence postulate  

Step-by-step explanation:

We have marked that RN and NQ are congruent.  We also have marked that MN and NP are congruent.

∠MNR≅∠QNP because they are vertical angles.  Vertical angles are opposite angles that share only a vertex; these are vertical angles so they are congruent.

This gives us two sides and an included angle; this is SAS.

B) SAS congruence postulate  proves that △ RNM and △ QNP are congruent

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know two triangles are congruent when we have at least three respective sides or angles or both that are same as the other sides or angles of a triangle.

We also know that vertically opposite angles have the same measures.

here the vertically opposite angles are ∠RNM and ∠PNQ.

It is given that side RN is congruent to side NQ and side PN is congruent to side MN.

∴ It is proven by SAS congruence postulate.

learn more about congruency here :

https://brainly.com/question/7888063

#SPJ5

Answer:

answeerits (D) on ed

Step-by-step explanation:

2.5x+15 = 3.5x

 subtract 2.5x from both sides

15 =x

 15 months

Final answer:

Using the Triangle Inequality Theorem and given a perimeter of 20 units for a triangle with integer side lengths, the maximum length of one side is found to be 15 units.

Explanation:

To determine the maximum length of one side of a triangle with integer side lengths and a perimeter of 20 units, we must apply the Triangle Inequality Theorem. This theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Given a perimeter of 20 units, if we denote the longest side as x, and the other two sides as y and z, we must satisfy two conditions:

x + y + z = 20 (perimeter condition)

x < y + z (Triangle Inequality Theorem)

Since the triangle has different integer side lengths, the largest x can be is when y and z are consecutive integers because this allows for the largest possible x. If we try the smallest integers, 1 and 2, for y and z, their sum is 3. To satisfy the triangle inequality, the largest possible integer for x would be 20 - 1 - 2 = 17. However, this does not satisfy the inequality x < y + z, because 17 is not less than 3.

Next, we increase y and z to 2 and 3, respectively, which sums up to 5. Thus, for x, we have 20 - 2 - 3 = 15. Since 15 is less than 2 + 3, it satisfies the condition required by the Triangle Inequality Theorem. Therefore, the maximum length of any one side of the triangle is 15 units.

A hexadecimal number is a number written in the base 16 number system which is true.

A way of writing numbers is known as a number system. It is the mathematical notation for consistently employing digits or other symbols to represent the numbers in a particular set. It describes the mathematics and algebraic structure of the numbers and gives each number a distinct representation.

The types of the number system are as follows:

A hexadecimal number is a number written in the base 16 number system which is true.

More about the number system link is given below.

https://brainly.com/question/22046046

#SPJ5

y-y2= m(x-x2)

hope that helped

The difference between the bank being 1/3 and 1/9 full equals 240 pennies, so 1/9 of the bank's capacity equals 120 pennies. So, Karen's bank can hold a total of 1080 pennies.

This is a mathematics problem dealing with fractions and subtraction. From the problem, we understand that after Karen removes 240 pennies, the bank is 1/9 full from previously being 1/3 full. So, the difference between 1/3 and 1/9, which is 2/9, accounts for the 240 pennies that were removed.

To find out the total capacity of the penny bank, you need to consider that 1/9 (the fraction representing the bank's fill level after removal of the 240 pennies) is equivalent to 120 pennies (half of 240, as 2/9 of the capacity is 240 pennies). This means that the total capacity of the bank (comparable to 9/9 of the fraction) is 120 pennies times 9, which equals to 1080 pennies.

https://brainly.com/question/34969032

#SPJ2

The variable is the number of blueberries, the operation is division, and the constant is 6. Write the division expression as the fraction, b/6 . To evaluate, substitute 210 in for the variable, b, and simplify. 210 divided by 6 is 35. So each bowl has 35 blueberries.

The algebraic expression can be written in terms of the variable b and and evaluated as b/6 = 210/6 = 35

According to the question;

Hence, the algebraic expressions is;

where, b = total number of blueberries

Hence, when b= 210

The number of blueberries in each bowl is; 210/6 = 35

Read more on Algebraic expressions;

https://brainly.com/question/2164351

Answer:

u + v =  <-3 + -3,     -5 + 1> =   <-6 ,  -4>  

u + v  =   <-6 ,  -4>

Step-by-step explanation:

I hope this helped you.

Please mark Brainliest.

Have a great day!!!!!!!!!!!

Product means multiplication.

Given w= weight of a trout.

So, we need to convert "product of 16 and weight of trout: w " into an algebraic expression.

So, product of 16 and w can be written as 16*w or simply 16w.

Hence, B is the correct choice.

Answer:

B

Step-by-step explanation:

Hope this helps!

The equation of the line that passes through (4, -8) and (8, 5) in slope intercept form is y = 13 / 4 x - 21

The slope intercept form of a line is represented as follows;

y = mx + b

where

Therefore,

(4, -8) and (8, 5)

m = 5 + 8 / 8 - 4

m = 13 / 4

Therefore, using (8, 5)

5 = 13 / 4(8) + b

5 = 26 + b

b = 5 - 26

b = -21

Hence, the equation is as follows:

y = 13 / 4 x - 21

learn more on slope intercept form here: https://brainly.com/question/13520479

#SPJ2

Mean change is the average change over an entire data set.

The mean change in weight per month is 50 pounds.

Mean change is the average change over an entire data set.

We have,

The weight of the bear = 500 pounds

After 6 months the weight of the bear = 200 pounds

The change in weight of the bear in 6 months = 300 pounds

We can write it as:

6 months = 300 pounds

We need to find the weight change in one month so we need to make 6 months into 1 month by dividing both sides by 6.

So,

6/6 month = 300/6 pounds

1 month = 50 pounds

Thus the mean change in weight per month is 50 pounds.

Learn more about the rate of change here:

https://brainly.com/question/1305209?referrer=searchResults

#SPJ5

180 - 70 - 42 = 68

x = 68 degrees

Answer:

Option D. x = 1

Step-by-step explanation:

If the two triangles Δ ABC and ΔDEC are similar then there corresponding sides will be in the same ratio.

Now using this theorem in these triangles

[tex]\frac{AB}{DE}=\frac{BC}{EC}[/tex]

Now it has been given

AB = (4x - 1)

BC = 4

EC = 4

DE = x + 2

By putting these values in the formula

[tex]\frac{4x-1}{x+2}=\frac{4}{4}=1[/tex]

We cross multiply on both the sides

(4x - 1) = (x + 2)

4x - x = 1 + 2

3x = 3

x = 1

Option D. x = 1 is the answer.