Answer:
The range is 12
Step-by-step explanation:
the range is the biggest number minus the smallest
the biggest number is 33
the smallest number is 21
so 33-21=12 so
The range is 12
Answer: 12
Step-by-step explanation: The range is the difference between the greatest number in the data set and the least number in the data set which in this case is 33 - 21 or 12.
So the range of this data set is 12.
Find the equation of the parabola with vertex at the origin, focus at (3m, 0) and directrix with equation x=–3m.
Answer:
The equation of the parabola is:
[tex]x = 12\cdot m \cdot y^{2}[/tex]
Step-by-step explanation:
The equation of the parabola is:
[tex]x = 4\cdot p \cdot y^{2}[/tex]
Where [tex]p[/tex] is equal to the distance between focus and vertex. Then,
[tex]p = 3\cdot m[/tex]
Lastly, the equation of the parabola is:
[tex]x = 12\cdot m \cdot y^{2}[/tex]
Answer: x = (1/12m)(y^2)
Step-by-step explanation:
Focus at (3m, 0)
Directrix equation, x = -3m
Distance from focus = distance from directrix
√(x-3m)^2 + (y-0)^2 = √(x - (-3m))^2 + (y -y)^2
(x - 3m)^2 + y^2 = (x + 3m)^2
y^2 = (x + 3m)^2 - (x - 3m)^2
y^2 = x^2 + 6mx + 9m^2 - x^2 +6mx - 9m^2
Collecting like terms and simplifying
y^2 = 6mx + 6mx
y^2 = 12mx
x = (1/12m)(y^2)
Carmine has a total of 9 7/8 gallons of milk in his refrigerator. For breakfast, his nephew Silvio puts 3/4 of the milk into his cereal bowl. How many gallons of milk does Silvio get in his cereal
Answer:
The volume of gallons used by Silvio = [tex]7\frac{13}{32}[/tex] gallons
Step-by-step explanation:
Total volume of milk = [tex]9\frac{7}{8}[/tex] = [tex]\frac{79}{8}[/tex]
amount used by Silvio = [tex]\frac{3}{4}[/tex] of total volume
This means that if the total volume of milk were divided into four parts, Silvio takes 3 out of 4 parts, and this is converted to volume as follows:
∴ amount used by Silvio = [tex]\frac{3}{4}[/tex] × [tex]\frac{79}{8}[/tex] = [tex]\frac{237}{32}[/tex] = [tex]7\frac{13}{32}[/tex] gallons
Sarah and Riley are going to make 2 batches of muffins. The smaller batch is 23the size of the larger batch. The recipe for the larger batch requires 35 cup of milk. How much milk will they need to make the smaller batch?
Please help. I also will post another question I need help with. Thank you if you help.
Geometric progression, first term 5, common ratio 3.
Answer: 5, 15, 45, 135
PLZ HELP IM STRUGGLING IM TIMED!!
Find the area
Answer:
AB / 13 = 1/2
AB = 6.5
area = 0.5 * base * height
=0.5 * 23 * 6.5
= 75 (rounded)
Answer:
b
Step-by-step explanation:
edge 2020
b) Imagine that you earned $8,425 in one year. If the government enforces a 15% income tax, how
much money would you owe in taxes at the end of the year? Show your work. (5 points)
Answer:
$1,263.75
Step-by-step explanation:
8425×0.15=1263.75
Answer: $1263.75
Step-by-step explanation:
$8425 (the amount you earned) multiplied by 0.15 (the tax rate as a decimal) is equal to 1263.75.
So, you would owe $1263.75 in taxes at the end of the year.
Anyone understand how to do this?
Answer:
f ( x ) = - 2x^2 + 3x + 1
Step-by-step explanation:
If f (x ) extends to → − ∞, as x→ − ∞ , provided f(x) → − ∞, as x → +∞, we can rewrite this representation as such;
− ∞ < x < ∞, while y > − ∞
Now the simplest representation of this parabola is f ( x ) = - x^2, provided it is a down - facing parabola;
If we are considering a down - facing parabola, the degree of this trinomial we should create should be even, the LCM being negative. Knowing that we can consider this equation;
Solution; f ( x ) = - 2x^2 + 3x + 1, where the degree is 2, the LCM ⇒ - 2
help me fill this out thanks
Answer:
[tex]y = 2 \sqrt{6} [/tex]
Step-by-step explanation:
[tex] \frac{y}{ \sin(60) } = \frac{4 \sqrt{2} }{ \sin(90) } \\ \frac{y}{ \frac{1}{2} \sqrt{3} } = \frac{4 \sqrt{2} }{1} \\ y = 4 \sqrt{2} \times \frac{1}{2} \sqrt{3} \\ y = 2 \sqrt{6}[/tex]
On a test, Robert has been presented with 15 vocabulary words and 15 definitions. He is being asked to match each vocabulary word to appropriate definition. How many different ways are there for Robert to do the matching?
Answer:
15! = 15*14*13*12*11*10*9*8*7*6*5*4*3*2*1
Step-by-step explanation:
It will be 15! = 15*14*13*12*11*10*9*8*7*6*5*4*3*2*1
Because the first vocab has 15 definitions to match
the second then be left with 14 definitions ( cause the first one match with 1 def already
the third has 13 definition
so on ...
hope this help
Answer:
15! ways
Step-by-step explanation:
15! =1.307 × 10¹²
For the first word, he has 15 options
For the second word, 14 options
.
.
.
For the last word, 1 option
Total possibilities:
15 × 14 × 13 × 12 × ...... × 1 = 15!
Four students were asked to write an expression which has terms that have a greatest common factor of 8c.
the expressions provided by the students are shown below.
Tanya
32C+16cd
Wyatt
8c-48cd
Xavier
36c-24c yang. 8c+40
Which student wrote the correct expression?
Answer:
Wyatt
Step-by-step explanation:
Tanya: 32c+16cd=16c(2+d)
The GCD of the terms is 16cWyatt : 8c-48cd=8c(1-6d)
The GCD of the terms is 8cXavier :36c-24c =12c(3-2)
The GCD of the terms is 12cYang: 8c+40=8(c+5)
The GCD of the terms is 8Since the expression is required to have a GCD of 8c, Wyatt wrote the correct expression.
Answer:
wyatt answered correctly
Step-by-step explanation:
Solve the equation in the image
Answer:
x = 80
Step-by-step explanation:
[tex]\sqrt{5x}=20\\[/tex]
Take square,
[tex](\sqrt{5x})^{2}=20^{2}\\\\5x=20*20\\\\x=\frac{20*20}{5}\\[/tex]
x = 4*20
x = 80
Crunch Bunch cereal boxes come in two sizes. The mini What is the height of the standard size box of Crunch
cereal box of Crunch Bunch is a reduction of the
Bunch?
standard box
1.6 inches
8 in
6.4 inches
10 inches
15.2 inches
Standard Box
Mini Box
The answer is 10
Answer:
10 inches
Step-by-step explanation:
For we solve this, we can use proportionality
Using the following method
Mini box: height 4 inches and width 3.2 inches
The proportion is: 4 in (height) / 3.2 in (width)
Standard box: height x inches and width 8 inches
x in (height) / 8 in ( width)
So:
x /8= 4/ 3.2
Solving for x:
x = (4/ 3.2) 8
x = 10 inches
As the answer
Answer:
10 inches
Step-by-step explanation:
4
A circle has a radius of
9
units and is centered at (-6.2, 5.8)
Write the equation of this circle.
Answer:
(×6.2)2+(y-5.8)2= 16+81
Step-by-step explanation:
Circle has center (-6.2, 5.8)
r= 4/9
Then simplify the equation.
h,k is the center of the circle
R = Radius
Hope this helps.
10. Select the statements which could describe the graph of a non-proportional
relationship
The winterceptis
The intercept is an integer
The wintercept is a fraction
The line intersects the origin
DELL
Answer:
Y intercept is 0
Step-by-step explanation:
Which of the following is the correct point-slope equation for the line that passes through the point (-4,-2) and is parallel to the line given by y=5x+44?
Answer:
D
Step-by-step explanation:
Answer:
Step-by-step explanation:
can hispanics say the N-word? my answer is some hispanics can cause they could be mixed with black or the ancestors could've been black.. just wanna hear your opinions.
Answer:
it depends
Step-by-step explanation:
to be honest with you
Answer:
the Hispanics can and cant say the n word
Step-by-step explanation:
because the Hispanics might have black friends or can have their ancestors genetics for blacks and also their not the same color as the whites aka americans
Roxy has received the following quiz scores so far this year:
75, 88, 90, 96, 98, 100
Which box plot represents this data?
A box-and-whisker plot. The number line goes from 75 to 100. The whiskers range from 75 to 100, and the box ranges from 88 to 98. A line divides the box at 93.
A box-and-whisker plot. The number line goes from 75 to 100. The whiskers range from 75 to 100, and the box ranges from 88 to 98. A line divides the box at 90.
A box-and-whisker plot. The number line goes from 75 to 100. The whiskers range from 75 to 100, and the box ranges from 88 to 97. A line divides the box at 93.
A box-and-whisker plot. The number line goes from 75 to 100. The whiskers range from 75 to 100, and the box ranges from 88 to 97. A line divides the box at 90.
Answer:
the first one i believe
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
SKAUSHBD GCVTFJKIEJF period
Work out the area of a circle with diameter of 1.8cm take pi to be 3.142 and give your answer to 1 decimal place
Answer:
A =2.5 cm^2
Step-by-step explanation:
The area of a circle is
A = pi r^2 where r is the radius
r = d/2 where d is the diameter
r = 1.8 /2 = .9
A = 3.142 ( .9)^2
A=2.54502
Round to 1 decimal place
A =2.5 cm^2
Evaluate [tex]\int\limits^e_0 {\frac{1}{x} } \, dx[/tex]
1
e^2-1/(1)
0
The integral diverges.
I think it is the last option, but I am not entirely sure.
Answer:
The integral diverges.
Step-by-step explanation:
∫₀ᵉ 1/x dx
(ln|x| + C) |₀ᵉ
ln|x| is undefined as x approaches 0, so the integral diverges.
Rina is 6x + 3:8 feet tall and Ryan is 5x + 1/8 feet tall. How much taller is Rina than Ryan?
Answer: Rina is [tex]x+\dfrac{1}{4}[/tex] feet taller than Ryan.
Step-by-step explanation:
Given, the height of Rina = [tex]6x+\dfrac{3}{8}[/tex] feet
The height of Ryan = [tex]5x+\dfrac{1}{8}[/tex] feet
To find : How much taller is Rina than Ryan?
Clue : Rina is taller than Ryan.
For that , we need to check the difference of the height between Ryan and Rina
i.e. (height of Rina) - (height of Ryan)
[tex]=6x+\dfrac{3}{8}-(5x+\dfrac{1}{8})\\\\=6x+\dfrac{3}{8}-5x-\dfrac{1}{8}\\\\=x+\dfrac{3-1}{8}\\\\=x+\dfrac{2}{8}\\\\=x+\dfrac{1}{4}[/tex]
Hence, Rina is [tex]x+\dfrac{1}{4}[/tex] feet taller than Ryan.
In ΔWXY, the measure of ∠Y=90°, the measure of ∠X=74°, and YW = 21 feet. Find the length of XY to the nearest tenth of a foot.
Answer:
6
this is the right answer
Answer: 6
Step-by-step explanation:
What is the surface area? I got 136 I needed someone to check it since I’m not sure
Answer:
also got 136 its right
Step-by-step explanation:
How many batches of cookies can Robert make?
Answer:
5 batches
Step-by-step explanation:
For this you need to divide the 2 fractions, and what ever you get will be the answer.
[tex]4\frac{1}{2}[/tex]÷[tex]\frac{3}{4}[/tex]
First make the mixed fraction into a improper fraction.
[tex]\frac{9}{2}[/tex]×[tex]\frac{4}{3}[/tex]=[tex]\frac{36}{6} =\frac{5}{1} =5[/tex]
Final answer
5 batches
If a 30-foot ladder leaning against a building makes a 62° with the ground. How many feet from the base of the building is the bottom of the ladder? Assume you hired an excellent contractor, and your building's wall is perpendicular to the ground. Round to the nearest tenth of a foot.
Answer: 14.1 feet
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the trigonometric functions.
cos α = adjacent side / hypotenuse
Where α is the angle of elevation of the ladder to the ground, the hypotenuse is the longest side of the triangle (in this case is the length of the ladder), and the adjacent side (x) is the distance from the base of the building to the bottom of the ladder
Replacing with the values given:
cos 62 = x/ 30
Solving for x
cos62 (30) =x
x= 14.1 feet
Feel free to ask for more if needed or if you did not understand something.
Please Help!! In a discount store, 12% of the 100 cups in stock have some unnoticeable defect. What is the probability of buying 12 cups that don’t have any defect? And what is the probability of getting all 12 cups having a defect?
≈Answer:
a)What is the probability of buying 12 cups that don’t have any defect?
0.1955
b) And what is the probability of getting all 12 cups having a defect?
9.52 × 10⁻¹⁶
Step-by-step explanation:
In the question,we are given the following values:
12% of the 100 cups in stock have some unnoticeable defect.
The number of cups that have defect in stock is calculated as:
12/100 × 100 = 12 cups
The number of cups that doesn't have defect is calculated as:
Total number of cups in stock - Number of cups in stock that have defect.
100 - 12 = 88 cups
a) What is the probability of buying 12 cups that don’t have any defect?
Probability Formula = Number of events/ Number or possible outcomes.
The probability of buying cups that don't have any defect =
88/100 × 87/99 × 86/98 × 85/97 × 84/96 × 83/95 × 82/94 × 81/93 × 80/92 × 79/91 × 78/90 × 77/89 = 0.1955138721
Approximately = 0.1955
b) And what is the probability of getting all 12 cups having a defect?
Probability Formula = Number of events/ Number or possible outcomes.
= 12/100 × 11/99 × 10/98 × 9/97 × 8/96 × 7/95 × 6/94 × 5/93 × 4/92 × 3/91 ×2/90 × 1/89
= 9.519991996 ×10⁻¹⁶
Approximately = 9.52 × 10⁻¹⁶
Follow the steps to finish solving the equation -3x + 18 = 7x
1. Add 3x to both sides to isolate the variable term.
2. Divide both sides by 10.
Xa
Answer:
Don’t really know what the question is, but these are the answers for x
Did Julio verify the solution?
O No. He substituted 4 and -2 for the wrong
variables.
O No. He did not check the point in the second
equation
O No. He simplified the equation incorrectly.
Yes. He verified that (4, -2) is a solution to the
system of equations.
ASAP
Answer:
No. He did not check the point in the second equation.
Step-by-step explanation:
Took the assignment
Answer:
no he did not check his second equation
Step-by-step explanation:
Just took it hope this helps.
Which ists the steps in the correct order to fnd the medan of this data set? 24 16 23 30, 18 29 1 Put the numbers in order 2. Cross off highvlow pairs 3 Add the leftover numbers 4. Divsde the sum by 1 Pt the numbers in order 2. Cross of highlow pairs 1 Cross off hightow pars 2. Add the 3 Divsle the sum by over numbers 1 Cross of highlow pars
Answer:
1. Put the numbers in order.
2. Cross off high/low pairs.
3. Add the leftover numbers.
4. Divide the sum by 2.
Step-by-step explanation:
Given:
24, 16, 23, 30, 18, 29
The ordered steps involved in Calculating the median of the data set given :
1.) put the numbers in order: This involves arranging the numbers in the dataset usually in ascending order :
16, 18,23,24,29,30
2.) Cross off high/low pairs: take out equal amount of input from both the left and right hand side. Here we have (23, 34) left
3) Add the leftover numbers: Since the values left is more than one, both values are summed, we have (23+24) = 47
4.) Divide the sum by 2 : Get the average of the two numbers to obtain the median value. Here the average is (23+24)/2 = 47/2 = 23.5
Answer:
A: 1. Put the numbers in order.
2. Cross off high/low pairs.
3. Add the leftover numbers.
4. Divide the sum by 2.
Step-by-step explanation:
edg2020
What is the volume, in cubic m, of a cube with an edge length of 18m?
Answer:
The answer is 5832
Step-by-step explanation:
18 ^3 is 5832
Solve the following:
a)
3x + 4 /2 = 9.5
7 + 2x /3 = 5
b)
