Answer:
It is 2 above the mean
9514 1404 393
Answer:
A. It is 8 below the mean
Step-by-step explanation:
The sum of differences from the mean is always zero. If x is the difference from the mean that the fourth data value has, then we must have ...
3 + 4 + 1 + x = 0
x = -8 . . . . . . . . . subtract 8
The fourth data value must be 8 below the mean.
_____
Additional comment
I find this property of the mean to be very useful in solving any number of problems related to differences from an actual or a desired mean.
-7 + 10Z > -27
Helpppppo
Answer:
Z > -2
Step-by-step explanation:
-7 + 10Z > -27
Add 7 to each side
-7 +7+ 10Z > -27+7
10Z > -20
Divide each side by 10
10Z/10 > -20/10
Z > -2
Which of the following circles has the greatest area?
A. Diameter: 10 yards
B. Diameter: 145/11 yards.
C. Diameter: 15.5 yards.
D. Radius: 8 yards
Answer:
C
Step-by-step explanation:
What is the area of a right triangle with a hypotenuse of 8 inches if one of the acute angles is 45 degrees?
.........................
hope this helps ^-^
16in^2
2 dot plots on number lines going from 80 to 100 in increments of 2. For Deanna's Quiz Scores, there are 0 dots above 80, 82, and 84, 2 dots above 86, 3 above 88, 3 above 90, 2 above 92, 3 above 94, 2 above 96, and 0 above 98 and 100. For Amy's Quiz Scores, the are 0 dots above 80, 2 above 82, 1 above 84, 2 above 86, 1 above 88, 2 above 90, 1 above 92, 2 above 94, 3 above 96, 1 above 98, and 0 above 100. Use the dot plots to answer the questions. Deanna’s mean quiz score is approximately . Amy’s mean quiz score is approximately .
Answer:
Deanna’s mean quiz score is approximately is 90.93 Amy’s mean quiz score is approximately is 90.27
Step-by-step explanation:
:)
Answer:
Deanna’s mean quiz score is approximately
✔ 90.93
Amy’s mean quiz score is approximately
✔ 90.27
Factor 54c–9d. Write your answer as a product with a whole number greater than 1
Answer:
9(6c - d)
Step-by-step explanation:
[tex]54c - 9d \\ = 9 \times 6c - 9d \\ = 9(6c - d) \\ [/tex]
Write a real-world situation that can be modeled by the equation 834 -14s = 978 -10s
Answer:
Step-by-step explanation:
I have 834 dollars and I want to buy 14 pairs of shoes that are each s dollars. My total cost is the same as my friend. He has 978 dollars and he wants to buy 10 of the same shoes that I bought.
Which of the following is an example of a rational number?
Question 12 options:
A)
3.
B)
3.456733244…
C)
D)
∞
Rounded to the nearest tenth, approximately how many ounces is 82.4 kilograms?
A. 233.6 ounces
B. 290 ounces
C. 2,336 ounces
D. 2,900.5 ounces
82.4 kilograms is approximately 2906.6 ounces, to the nearest tenth. None of the given answer choices are correct.
Explanation:The question asks for the approximate value in ounces of 82.4 kilograms, rounded to the nearest tenth. The conversion factor from kilograms to ounces is approximately 35.274. Therefore, we multiply 82.4 kg by this conversion factor to convert the weight to ounces.
To perform the calculation, use this formula: 82.4 kg × 35.274 oz/kg. After multiplication, we obtain a result of 2906.6288 ounces. Finally, rounding to the nearest tenth, the value is approximately 2906.6 ounces.
Without being an option, we can say that none of the given answer choices are correct.
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Talia is solving the following equation.
7x - 4 = 31
Which shows a step Talia can use to solve the equation?
A.
7x - 4 = 31 + 4
B.
7x - 4 + 4 = 31 + 4
C.
7x - 4 - 4 = 31 - 4
D.
7x - 4 = 31 - 4
Answer:
b, 7x-4+4=31+4
Step-by-step explanation:
you always want to start by isolating the x value, which means that you have to get rid of any outside numbers. by adding four, you are getting rife of the four. but, you have to add the four on the other side to keep it equal.
A class consists of 55% boys and 45% girls. It is observed that 25%
of the class are boys and scored an A on the test, and 35% of the
class are girls and scored an A on the test.
What is the probability of a student chosen at random and is found
to be a boy, given that the student scored an A?
A- 0.7778
B- 0.4545
C- 0.6364
D- 0.5556
Answer:
B 0.4545
Step-by-step solution
25/100 are boys and got an A
35/100 are girls got an A
so there are 25/55 students that got an a
if you convert to decimal its
0.4545...
Steve completed 9 homework problems in class. The function p(m) relates the time (in minutes) Steve spent on his homework at home to the total number of problems he completed. The input is the number of minutes worked. The output is the number of problems completed.
p(m) = m/6 + 9
Which equation represents the inverse function m(p), which uses problems completed as the input and gives minutes worked as the output?
A. m(p) = 54p + 6
B. m(p) = 6p + 54
C. m(p) = 54p - 6
D. m(p) = 6p - 54
Answer:
D. m(p) = 6p - 54
Step-by-step explanation:
substitute p(m) for y and p for x
then switch x and y
y=x/6 + 9
then switch
x=y/6 + 9
then solve to get the answer
which is y=6x-54
or m(p) = 6p - 54
A rectangle has a height of 2y^3+52y
3
+52, y, cubed, plus, 5 and a width of y^3+6yy
3
+6yy, cubed, plus, 6, y.
Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
9514 1404 393
Answer:
2y^6 +12y^4 +5y^3 +30y
Step-by-step explanation:
Given:
rectangle height: 2y^3 +5
and width: y^3+6y
Find:
the area as a polynomial
Solution:
The area is the product of height and width:
A = (2y^3 +5)(y^3 +6y)
A = (2y^3)(y^3 +6y) +5(y^3 +6y)
A = 2y^6 +12y^4 +5y^3 +30y . . . . area of the rectangle
The area of the rectangle, given the height 2y^3+52y and the width y^3+6y, is calculated by multiplying these expressions together. In standard form, the area is 2y^6+64y^4+312y^2.
Explanation:The question pertains to the calculation of the area of a rectangle given the expressions for its height and width. The area of a rectangle is calculated by multiplying its height and width together.
The given height of the rectangle is 2y^3+52y and the width is y^3+6y. Therefore, to calculate the area, we multiply these two expressions together. Using distributive properties of multiplication over addition, we get:
Area = (2y^3+52y) * (y^3+6y)
=
2y^6+12y^4+52y^4+312y^2
So, the area of the rectangle in standard form is 2y^6+64y^4+312y^2.
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Substitute 6 for x and evaluate the expression below. 4(x - 10) + 2
Answer:
-14
Step-by-step explanation:
4(x - 10) + 2
Let x = 6
4(6-10)+2
Parentheses first
4(-4) +2
Multiply and divide
-16+2
-14
Answer: -14
Step-by-step explanation:
4 (6 - 10) + 2
First, we do whats in the parenthesis.
6 - 10 = -4
4 * -4 = -16
-16 + 2 = -14
Please help. 3. What is the approximate perimeter of △ABC?
15 units is wrong btw, I already tried that.
The perimeter of a triangle is the sum of the lengths of all the sides of a triangle. The perimeter of the given triangle ABC is 14.2 units.
Distance between two points x and y can be calculated using the formula : √(x²+y²)
∴ Length of AB =[tex]\sqrt{(3-(-1))^{2}+(4-1)^{2} }[/tex]= [tex]\sqrt{4^{2} +3^{2} }[/tex] = 5
Length of BC = [tex]\sqrt{((-1)-(-2))^{2}+(1-5)^{2} }[/tex] = [tex]\sqrt{1^{2}+(-4)^2 }[/tex] = √17
Length of AC = [tex]\sqrt{(3-(-2))^{2}+(4-5)^{2} }[/tex] = [tex]\sqrt{5^{2}+(-1)^2 }[/tex] = √26
Perimeter of triangle ABC = Length of AB +Length of BC + Length of AC
= 5 + √17 +√26
= 5 + 4.123 + 5.099
= 14.222
≅ 14.2
Therefore, the approximate perimeter of ΔABC is 14.2 units.
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Trigonometric ratios in rig triangles pls help
Answer:
D. 35/12
Step-by-step explanation:
[tex] \tan( \alpha ) = \frac{35}{12} \\ [/tex]
is a triangle with side lengths of 4,5, and 6 inches a right triangle?
Answer:
yes it can make a right triangle
Step-by-step explanation:
If the sales tax rate in California is 7.25% then how much would you pay in Los Angeles for a pair of shoes that cost 39.00?
Answer:
41.83
Step-by-step explanation:
39 x .0725)+ 39 = 41.827, rounded up = 41.83
Try It!
1. Use a ruler and protractor to draw a quadrilateral with
two equal sides that meet at a right angle, and two
nonadjacent angles of the same measure. What is the
name of the quadrilateral you drew?
The quadrilateral I drew is a _____
Answer:
You drew a square
Answer:
It's a kite, I was on the edpuzzle.
please help! you have to find the surface area of the inage below!
hello:) how to do this? using partial fractions
Help easy points not hard
Answer:
17.5 cm
Step-by-step explanation:
I don’t know how to solve this. Can anyone help me get the answer and the work
If you have to check whether a number is a solution of a given equation, just plug that number in the equation and see if you get something true or false.
For example, the first option claims that -2 and 6 are solutions to the equation.
Let's check it! If we substitute [tex]x=-2[/tex] in the equation we get
[tex]3(-2)^2-34(-2)-24 = 12+68-24=56 \neq 0[/tex]
So, -2 isn't a solution to this equation. Let's check 6:
[tex]3(6)^2-34(6)-24 = 108-204-24=-120 \neq 0[/tex]
So, 6 isn't a solution either.
Keep going like this and you'll find the correct set of solutions.
Answer:
{ - [tex]\frac{2}{3}[/tex], 12 }
Step-by-step explanation:
We can solve the equation by factoring it
3x² - 34x - 24 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 3 × - 24 = - 72 and sum = - 34
The factors are - 36 and + 2
Use these factors to split the x- term
3x² - 36x + 2x - 24 = 0 ( factor the first/second and third/fourth terms )
3x(x - 12) + 2(x - 12) = 0 ← factor out (x - 12) from each term
(x - 12)(3x + 2) = 0
Equate each factor to zero and solve for x
x - 12 = 0 ⇒ x = 12
3x + 2 = 0 ⇒ 3x = - 2 ⇒ x = - [tex]\frac{2}{3}[/tex]
Thus the solution set is { - [tex]\frac{2}{3}[/tex], 12 }
Your sister helped you get a dream job at a designer clothing store and one of the perks of the job is that you get 15% off all clothing that you buy at their store. During your first month of employment you purchased $235 tax-free (before the discount) worth of clothing from the designer store. You worked 25 hours during that month at $9.50 an hour and they deducted 15% of your total paycheck for deductions. Did you still make money in your first month of employment regardless of how much you spent at their store for designer clothes? How much? Show your work.
Answer:
$197.30 revenue.
Step-by-step explanation:
As long as we realise that 15% = $237.50 total revenue - 15% of that revenue $40.20 and the other 15% was totaled prior and kept to one side as seen as expenditure.
revenue = r clothing purchase = p
r = (25 x 10 -12.50) - (p15% of e235)
r = (250 - 12.50) -( e235- p23.5 +11.73)
r = (237.50) - (expenditure 235- p35.73)
r = 237.50 -(expenditure 199.27)
r= 237.50
e = 199.27
p = 35.73
Answer with out including expenditure your sister revenue was $237.50
The 15% deduction cannot be confused with the deduction from clothes.
If we were to calculate 15% of $237.50 this would be 23.7+ 16.85 =$40.2
A different Salary related 15% contribution payments = $40.20
If these were taken from $237.50
Then $237.50- $40.20 = $197.30 revenue, but we do not have to show expenditure in the total only the workings, which is still owed being $199.27- $40.20 already paid towards.
Extension = This means because $40.20 was deducted then expenditure still to be deducted outside of the question would be e. $199.27 - $40.20 = 159.07 still owed. Saying that the 15% was to pay your sisters contribution to the clothes and not to the state.
Find the value of the following expression:
(38 ⋅ 2−5 ⋅ 90)−2 ⋅ 2 to the power of negative 2 over 3 to the power of 3, whole to the power of 4 ⋅ 328 (5 points)
Write your answer in simplified form. Show all of your steps
Answer:
-3 . 15^12
Step-by-step explanation:
(38·2 - 5·90) - 2 · ( 2^-2 / 3^3 ) - 4· 3^28
( 190 - 450 ) - 2 · (0.25/27) - 9.15^13
-260 · -2 (0.25/27 ) - 9.15 ^ 13
(-260 · -0.02) - 9.15 ^13
5.2 - 9.15^ 13
-3 . 15^12
Answer:
-3 . 15^12
Step-by-step explanation:
Question 2 - Brianna spends 7 3/5 hours in school each day. Her lunch period is 30
minutes long, and she spends a total of 42 minutes switching rooms between classes.
The rest of her day is spent in 6 classes that are all the same length. How long is each
class?
Answer:
64 minutes
Step-by-step explanation:
7⅗ hours = 7⅗ × 60 min
= 38/5 × 60
= 456 minutes
456 - 30 - 42 = 384 minutes for 6 classes
384/6 = 64 minutes per class
Select all statements that are true of polynomials:
5a²b – 6ab3c + 3a5 is a fifth degree polynomial.
2b-6ab3c + 3a5 has a leading term of 5.
5a²b – 6ab3c + 3a5 contains three terms.
12x – 10x5 – 7 + 3x4 is equivalent to -10x5 + 3x4 + 12x -
12x - 10x5 – 7 + 3x4 has a leading term of -10x5.
12
105 72.4
Answer:
The Statements have been categorized and explanation given.
Step-by-step explanation:
The following statements are true
[tex]5a\²b - 6ab^3c + 3a^5[/tex] is a fifth degree polynomial.
The degree of a polynomial is the highest power in the polynomial, therefore, [tex]5a\²b - 6ab^3c + 3a^5[/tex] is a fifth degree polynomial.[tex]5a\²b - 6ab^3c + 3a^5[/tex] contains three terms.
This is true. The terms are: [tex]5a\²b, - 6ab^3c, 3a^5[/tex][tex]12x -10x^5 - 7 + 3x^4[/tex] is equivalent to [tex]-10x^5 + 3x^4 + 12x -7[/tex]
The second polynomial is a basic rearrangement of the first polynomial, therefore the statement is true.[tex]12x - 10x^5 - 7 + 3x^4[/tex] has a leading term of [tex]-10x^5.[/tex]
The leading term is the term containing the highest power. The highest power is 5 and the term containing it is [tex]-10x^5.[/tex]FALSE
[tex]2b-6ab^3c + 3a^5[/tex] has a leading term of 5.
The leading term of this polynomial is [tex]3a^5[/tex]
what is -5x+-33x x= what
Answer: -38x
Step-by-step explanation: We will be solving for x.
Since both values in the equation have a variable of x, simply add -5x to -33x.
x is already simplified so we can not technically solve for it.
-5x + (-33x) = -38x (We could add the two values since they are equivalent, but we can not solve for x.)
Ever since Renata moved to her new home, she's been keeping track of the height of the tree outside her window.
H represents the height of the tree (in centimeters),
t years since Renata moved in.
H=210+33t
How fast does the tree grow?
Answer:
33 cm/year
Step-by-step explanation:
H = 33t + 210
Slope= 33
Slope is also the rate or change:
Growth rate: 33 cm per year
Answer:
Consider the given function:
[tex]h(t)=210+33t[/tex]
From the linear function, 210 is the height of the tree from whenever Renata moved to her new home, and 33 states that the tree grows 33 cm per year.
So "How fast does the tree grow?"
The tree grows 33 cm per year.
The scores of a dart game are 46, 25, 33, 56, 31, 46, 49, 55, a, b, and c. If 33 is the only mode, 46 is the median, and a>c, what is the possible range of values for a?
The possible range of values for 'a' in the dart game score sequence, considering 46 as the median and 33 as the mode, is from 47 to 55.
Explanation:In the list of dart game scores 46, 25, 33, 56, 31, 46, 49, 55, a, b, and c, with the information that 33 is the mode, 46 is the median, and a > c, we can deduce the following:
As 46 is the median in a list of 11 scores, it is the 6th score when the list is ordered. Thus, there must be four scores greater than 46 which are 49, 55, a, and b assuming that b also must be greater than or equal to 46 as a > c and a and b are both greater than c.
Since 46 is not a mode, there cannot be a third instance of it among the scores a, b, or c. This implies a and b cannot be 46. Therefore, a has to be at least 47.
Now, we also know that a is greater than c, but we do not have any other scores to compare c with. Given that we don't know if c is greater than 46, 46 could potentially be c that would make a at least 47, thus the range of possible values for a starts from 47 to any number greater than that but not 56 as the next score after 55 is 56 which is not a as a > c. Therefore, a could technically be any score above 47 that is less than 56, so the range for a is 47 to 55.
Work out the percentage change when a price of £20 is increased to £50.
Answer:
The percentage change from 20 to 50 is 150 %
Step-by-step explanation:
(50 - 20) / 20) * 100 = 150 %
Answer:
150%
Step-by-step explanation:
Let's say the 20 increased by x%. Then, we can write the equation:
20 + x% * 20 = 50
Notice that both terms on the left side have 20, so we can factor this out:
20 * (1 + x%) = 50
Divide both sides by 20:
1 + x% = 50/20 = 2.5
Subtract 1 from both sides:
x% = 1.5
Remember that % simply means "out of 100", so x% = x/100:
x/100 = 1.5
Multiply both sides by 100:
x = 150
Thus, the percent increase is 150%.
Hope this helps!