Please help with graph problem

Xavier is designing a display for a bulletin board that is 3.5 feet wide. He wants to place a 14-inch-wide poster in the center

TEA [102]

3.5 feet converted to inches is 42 inches. 42"-14"=28"

28" divided by 2 sides is 28/2 = 14" on either side if the poster remaining

7 0

4 years ago

What is the mean, median, and standard deviation for the following set of scores: 24, 20, 16, 18, 18, 26, 22? Please show your w

MissTica

Answer:

first: Definitions

mean: the average or the most common value in a collection of numbers

(So u add all numbers and then divide the answer by how much numbers there were)

median: Is middle value.

(example: 4, 5, 6) (The median will be the middle which is 5) (But if there are even amount of numbers like this: 4, 5, 6, 7) (Then you will get the two middle numbers which in this case are 5 and 6 you add them and then divide by 2.)

standard deviation: measures the spread of the data about the mean value

Step-by-step explanation:

Now lets get to problem!

we have numbers:

24, 20, 16, 18, 18, 26, 22

the mean will be: 144 (remember now you have to divide by 7 because there are 7 numbers.)

So it would be 20.57

Now the median:

(Since there are 7 numbers you just find the number in the middle and that would be ur median.)

24, 20, 16, 18, 18, 26, 22

median answer: 18

Like we said: The sample standard deviation measures the spread of a data distribution of the sample. It is usually used to estimate the population standard deviation

So the standard deviation will be: 3.6

I hope this helps :)

6 0

3 years ago

Evaluate the expression x ÷ y for x = 8 and y = 16.

daser333 [38]

Answer:

Step-by-step explanation:

hello :

x ÷ y for x = 8 and y = 16 means : 8/16 = 8/(2×8) = 1/2

7 0

4 years ago

Read 2 more answers

Can someone please help me on this question?

yan [13]

Answer: q³⁰

Explanation:

First just solve the first part using the exponent rules

p²q⁵ becomes 1/p-⁸q-²⁰ then we flip the fraction so the exponents become positive. Now we have p⁸q²⁰.

Before multiplying the other equation, we must simplify. p-⁴q⁵ becomes 1/p⁴q-⁵ and since it's the exponents being raised to a power we simply multiply the inner exponents times the outer exponent which yields 1/p⁸q-¹⁰. We must make q-¹⁰ positive so we will then bring it to the numerator of the fraction which gives us: q¹⁰/p⁸.

Multiply q¹⁰/p⁸ * p⁸q²⁰/1 = p⁸q³⁰/p⁸ divide the p exponents by each other which yields 0 since when u divide exponents you just subtract them so 8 - 8 = 0. Your answer is now q³⁰/1 or just q³⁰

4 0

4 years ago

PLZ HELP ASAP 50 PTS (MATH) + Brainliest

damaskus [11]

Answer:

x+3 and x+2
( 5 x + 2 ) ( x 2 + 5 )
9x^2+16
3x2 + 21x + 36

Step-by-step explanation:

x2 + 5x + 6

Let us try factorizing this polynomial using splitting the middle term method.

Factoring polynomials by splitting the middle term:

We need to find two numbers ‘a’ and ‘b’ such that a + b =5 and ab = 6.

On solving this we obtain, a = 3 and b = 2

Thus, the above expression can be written as:

x2 + 5x + 6

= x2 + 3x + 2x + 6

= x(x + 3) + 2(x + 3)

= (x + 3)(x + 2)

Thus, x+3 and x+2 are the factors of the polynomial x2 + 5x + 6.

For Step 1, you just want to find all combinations of two numbers that multiply together to be 56. Make sure you take negatives into account. Those pairs of numbers are:

(p, q, p+q)

(1, 56, 57)

(-1, -56, -57)

(2, 28, 30)

(-2, -28, -30)

(4, 14, 18)

(-4, -14, -18)

(7, 8, 15)

(-7, -8, -15)

Use those pairs of numbers and their sums to fill in the three columns of your table.

STEP 2
Look down your p+q column to find the pair of numbers that add up to equal to -15. That's (p, q) = (-7, -8).
STEP 3
Using the information from steps 1 and 2, you can factor the trinomial like this:
x2 - 15x + 56 = (x + p)(x + q) = (x - 7)(x - 8)
FOIL that back out if you'd like, to make sure the expressions are equivalent.
STEP 4
Hopefully, seeing steps 1 through 3 worked out will help you with step 4. Find all the pairs of numbers that multiply together to be 36 (1 and 36, 2 and 18, 3 and 12, 4 and 9, 6 and 6, and all their negative equivalents), then figure out which pair has a sum of 12. That means you've found your p and q, and can factor the trinomial as (x + p)(x + q).

8 0

3 years ago

Read 2 more answers