Answer:
To distribute means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
The distributive property states that an expression which is given in form of A (B + C) can be solved as A × (B + C) = AB + AC.
What is the distributive property?Distributive property says that the sum of two or more addends multiplied by a number gives you the same answer as distributing the multiplier, multiplying each addend separately, and adding the products together.
According to the distributive property, multiplying the sum of two or more addends by a number produces the same result as when each addend is multiplied individually by the number and the products are added together.
Example: Find the product using distributive property 6(42+35)
Now, 6(42+35)
= 6×42+6×35
= 252+210
= 462
Hence, the distributive property states that an expression which is given in form of A (B + C) can be solved as A × (B + C) = AB + AC.
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The heights of male seniors in high school closely follow a normal distribution N(µ,σ) = N(70.5,2.6) , where the units are inches. a) If we randomly sample the heights of five male seniors, what distribution should the sample mean follow? Give your answers to two decimal places.
The sample will also be normally distributed, with same mean as the population, so µ = 70.5, but the standard deviation would be divided by the square root of the sample size, so σ = 2.6/√5 ≈ 1.16.
N(70.5, 1.16)
The sample will also be normally distributed, with the same mean as the population(µ = 70.5) and the standard deviation of 1.16 inches.
What is a normal distribution?A normal distribution is a probability distribution that is used to represent events with a default behaviour and accumulated potential departures from it.
As it is given that the heights of male seniors in high school closely follow a normal distribution N(µ,σ) = N(70.5,2.6), where the units are inches.
Therefore, the mean will be the same (µ = 70.5), but the standard deviation for the sample size of the heights of five male seniors, can be written as,
[tex]s=\dfrac{\sigma}{\sqrt n} = \dfrac{2.6}{\sqrt5} = 1.16[/tex]
Hence, The sample will also be normally distributed, with the same mean as the population(µ = 70.5) and the standard deviation of 1.16 inches.
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2 1/4-( -3 5/6)
Answer as a mixed number in simplest form, Pls answer this plss
someone help me pls
Answer:
y=1/2x + 3
Step-by-step explanation:
The first thing you need to know is that the slope of a perpendicular line is the opposite reciprocal of the other slope. Find the slope of this line, which is -2. The opposite reciprocal is 1/2. So, you know that the perpendicular line is equal to y=1/2x. Plug the x coordinate (4) in for x to have: y=1/2(4). Multiply 4 by 1/2 to get y=2. Since the y coordinate is supposed to equal 5, add 3 to y=2 to get 5. Since 3 is the amount we added, thats where the y intercept will be. Hope this helped!
what value of a makes the following equation true
Answer:
It's -30
Step-by-step explanation:
Combine like terms
− 8 = 2 1 0
−7 = 2 1 0
Divide both sides of the equation by the same term
− 7 = 2 1 0
-7a/-7 = 210/-7
You cancel the -7 on the left side and divide 210 by -7
and then 210/-7 is -30
Hope this helps mark me brainliest!
Use the drop-down menus to choose steps in order to correctly solve
4k−6=−2k−16−2 for k.
Answer:
down menus to choose steps in order to correctly solve
down menus to choose steps in order to correctly solve4k−6=−2k−16−2 for k.
Anw.
-2
ep.
4k - 6 = -2k - 16 -2
4k - 6 = -2k - 18
4k - 6 + 2k = -18
4k - 2k = -18 + 6
6k = -18 + 6
6k = -12
k = -2
PLEASE EXPLAIN AND PLEASE HELP ME AND EXPLAIN I NEED HELP
its right because
6 x 5 is the area of the leftmost rectangle
4 x 5 is the area of the bottom rectangle
3 x 5 is the area of the rightmost rectangle
5 x 5 is the area of the slanted square on the top
the last term is the area of the trapezoid, which is (base1 + base2) x height /2
they split the trapezoid thing into a square and a triangle, which gets you the same answer
they multiplied it by 2 because there are 2 trapezoids
if u have a fun raiser and u need to make 100,000 but u have 63,482 what more do u need to add to get 100,00
Answer:
36,518
Step-by-step explanation:
You can subtract 63,482 from 100,000 to get your answer.
100,000-63,482 = 36,518
Which type of rock is shown in each of these photographs?
Answer:
igneous
Step-by-step explanation:
igneous rocks are made out of molten lava or magma
Answer:
sedimentary rock/igneous rock and Metamorphic rock
Step-by-step explanation:
Use the drop-down menus to complete the statements below to compare the values of the two expressions. 2 attachments
The value of the expression in blue is 18 times the value of the expression in red
I know this because the sum of y and z is multiplied by 18
Answer:
The value of the expression in blue is 18 times the value of the expression in red
I know this because the sum of y and z is multiplied by 18
Chalondra buys a dress that costs $28.00. She pays 5% sales tax. How much does she pay for the dress, with tax? A. $1.40 O B. $26.60 O C. $33.00 D. $29.40
Answer:
29.40
Step-by-step explanation:
5% of 28.00 is 1.40, so 28.00 + 1.40 =29.40
Answer:
D
Step-by-step explanation:
simplify 2√2-3/√2+4/√8
Answer:
This is SURD, but the question is not well imputed (isn't well formed) some should be in bracket and left with one outside. check it well
Find the slope of the line
Need help, don’t understand
Answer: 3/2
Step-by-step explanation:
1. Slope is rise over run (difference in Y over the difference in X)
2 Look for a point where the line intersect both x and y
(0,0) and (2,3)
3.Starting at (0,0) count up until you reach 3. That is the rise. Now
count over until you reach the 2. That is the run.
4. From 0 to 3 is 3 Rise
From 0 to 2 is 2 Run
5. Slope is Rise over Run: 3/2
OMG I NEED HELP SO BADLY RN
On a coordinate plane, how are the locations of the points (3 , 3) and (-3 , 3) related?
A.
reflection across the x-axis
B.
reflection across the y-axis
C.
reflection across both axes
D.
locations unrelated
Answer:
c
Step-by-step explanation:
both axes! PLS GIVE BRAINLIEST
8-pack jump ropes cost $10.48 what is the price of 1-pack of jump rope?
Answer:
1.31$
Step-by-step explanation:
Because I’m a teacher
Write the equation of the line with x-intercept of -4 and y-intercept of 2. Hint:With those intercepts, (-4,0) and (0,2) are points on the line.
1.) -4x + 2y = 8
2.) 4x – 2y = -8
3.) 2x + 4y = 8
4.) 2x – 4y = -8
Answer
2.) 4x - 2y = -8
The equation of the line having an x-intercept of -4 and y-intercept of 2 is 2x - 4y = -8 so, option 4 is correct.
What is line?A simple line in Euclidean geometry. A line, according to Euclid, is the distance between two points and can stretch forever in either direction. While Euclid's initial definition is now regarded as a line segment, such an extension in both directions is now thought of as a line.
Given:
The lines with an x-intercept of -4 and y-intercept of 2,
The coordinates can be written as (-4,0) and (0,2),
Write the equation of the line as shown below,
y - 2 = (2 - 0) / (0 - (-4)) (x - 0)
y - 2 = 2 / 4 x
y - 2 = 1 / 2 x
2y - 4 = x
x - 2y = -4 or 2x - 4y = -8
Thus, the equation of the line is 2x - 4y = -8.
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Oscar and Julie Ashton are celebrating their 15th anniversary by having a reception at a local reception hall. They have budgeted $5,000 for their reception. If the
reception hall charges a $80 cleanup fee plus $33 per person, find the greatest number of people that they may invite and still stay within their budget.
PLEASE HELP ME! Only answer if correct. :)
Answer:
i don't know
im kinda silly lol lol lol lol lol lol lol lol lol
am i right???? Please explain even if I am???
Similar triangles have the same angle measures, but different side lengths. Generally, similar triangles are proportional.
So, we can say that AB / DE = BC / EC.
16 / DE = 12 / 9
12(DE) = 144
DE = 12
Hope this helps!! :)
What is the equation of this line?
y=3/4x+2
y=4/3x−2
y=3/4x−2
y=−3/4x−2
Answer:
y=3/4x-2
Step-by-step explanation:
Y-Intercept is -2 so it can't be the first option.
Then for the slope it goes up 3 and over 4. So the slope is 3/4.
So the equation is y=3/4x-2
MULTIPLE CHOICE QUESTION
What is the highest degree of a polynomial
that can be used as a divisor in synthetic
division?
Explanation:
Polynomials of degree 1, aka linear polynomials, are the highest allowed for the divisor when using synthetic division. If the divisor is degree 2 and larger, then you'll need to use polynomial long division instead.
An example divisor of degree 1 is something like [tex]x+5[/tex], which can be written as [tex]x^1+5[/tex]. That exponent of 1 determines the degree.
45 is what percent of 80?
Solve for w.
–1.01 = 1.4(w + 2) − 2.41
w=0
Step-by-step explanation:
-1.01=1.4(w+2)-2.41
-1.01=1.4w+2.8-2.41
-1.01=1.4w+0.39
-1.01-0.39=1.4w
+1.4=1.4w
1.4/1.4=w
0=w
So,the answer is w=O
I hope it is very helpful
The sum of two numbers is 45. The difference of the 2 numbers is 3. What is the product?
Answer:
Setting up problems like this requires a "system of equations." We'll call the two numbers "A" and "B." Make an equation out of the first sentence. "Sum" means the answer to an addition problem.
A + B = 45
After that, make an equation out of the second sentence. "Difference" means subtraction.
A - B = 3
There are two ways to solve this problem. The two ways are called "elimination" and "substitution." I don't know which way you usually do it, but for this case, elimination is more efficient, so I'll teach you how to do that. Look how "B" is positive in the first equation, but negative in the second equation. If these two equations get added together, the B-terms will cancel.
A + B = 45
A - B = 3
-------------
2A = 48
A = 24
Perfect, we got one of the numbers, which is 24. Plug in A = 24 into any of the equations to find B.
A + B = 45
24 + B = 45
B = 21
This means that our two magic numbers are 24 and 21. The product of these numbers can be found by multiplying them to get 504 (C). I hope this helps, and good luck with the rest of your math class!
Step-by-step explanation:
please mark me as brainlest
(X-3)^2. Open this bracket
the room has a rug right in the middle of a room. The rug is 3m by 4 m and it is 2 m away from all the surrounding walls. Calculate the area of the room.
Technically it should say the area of the floor of the room but whatever
Also all things done assuming "room" means "floor" and that the rug isn't suspended in midair in the middle of the 3-D room
Answer:
[tex]56~m^2[/tex]
Step-by-step explanation:
If the room is 2 meters away from the rug top and bottom, the room is an extra 4 meters bigger than the rug in width. Likewise for sideways.
WLOG let the rug have a length of 3 and a width of 4(doesn't matter which number goes where). Then, the room has dimensions of [tex](3+4)[/tex] by [tex](4+4)[/tex], which equals 7 by 8 meters.
Therefore, the area is [tex]7*8=\boxed{56~m^2}[/tex]
someone please solve this for me i swear i will give you a brainliest i really need help on this
Answer:
1) Yes, it is rational.
2) Yes, it is rational.
3) There are three repeating digits.
Step-by-step explanation:
Lets solve them in order.
1) First lets see what the characteristics of a rational number are. We know that, to be a rational number, a number must either:
Can be expressed as a fractionRepeatAre integersAnd terminateAn irrational number is a number that never repeats or ends. They are also not integers, but we will focus on the never repeats or ends part.
So, lets look at it. Does 0.147 repeat, terminate, be expressed as a fraction, and is it an integer? Well, its not an integer, it doesn't repeat, and it isn't a fraction. However, it does terminate, which means it is rational.
2) Is 0.147 repeating a rational or irrational number. Remember, we need to see if it terminates, repeats, is an integer, or is a fraction. Well, it doesn't terminate, it is not a fraction, and it is not an integer. However, it does repeat. That means that it is a rational number.
3) Now, to figure out how many repeating digits there are. In math, we know that the line above the numbers in the decimal place means that they repeat. So simply find out how many digits are below that line. Well, we see that 1, 4, and 7 are under the line. In total that is three digits. So the answer is 3.
A dairy needs 396
396
gallons of milk containing 6%
6
%
butterfat. How many gallons each of milk containing 8%
8
%
butterfat and milk containing 2%
2
%
butterfat must be used to obtain the desired 396
396
gallons?
Answer:
pop music of 90
PLEASE HELP ITS MATH THANK YOUUUU
Answer:
6 ft
Step-by-step explanation:
Multiply by 2 on each side: (8*2) = (3*2)
New ratio: 16 = 6
Final answer: 6ft
How do I solve 1/2x = 4/5 + 1/4x
Answer:
take 1/4 to the other side since 1/2 and 1/4 are like terms then solve for X getting 16/5 as the answer
Have a wonderful time
When Sharon graduates from college, she accepts a job that pays $30,000 for the
first year with a promise of a 10% raise at the beginning of each of the next 9 years.
Samantha graduates the same year and accepts a job which pays $40,000 the first
year with a raise of $1,000 at the beginning of the next 9 years.
а
In which year will Sharon's annual salary first exceed Samantha
Answer:
year 6
Step-by-step explanation:
she will be at 48,000
the other girl will be at 46,000
The year in which the salary Sharon's first exceeds Samantha's salary if, is the 5th year Sharon graduates from college, she accepts a job that pays $30,000 for the is 5 years.
What is percentage?A percentage, often known as percent, is a division by 100. Percentage, which means "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is. Both manual calculation and the use of internet calculators are options.
Given:
Sharon's pay = $30000,
Raise percentage = 10%,
Samantha pays = $40000,
Raise by = $1000,
Calculate Sharon's pay as shown below,
Sharon's pay = 30000(1 + 0.10)⁴
Sharon's pay = 30000 × 1.77
Sharon's pay = $43923
Calculate pay of Samantha after 4 years,
The pay of Samantha = 40000 + 4 × 1000
The pay of Samantha = $44000
Thus, Sharon's annual salary first exceeds Samantha's after 4 years.
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