Answer:
yes they are congruent
Step-by-step explanation:
[PLEASE ANSWER BOTH QUESTIONS] The following data points represent the number of quesadillas each person at Toby's Tacos ate. Sort the data from least to greatest. Find the interquartile range (IQR) of the data set.
Answer:
Part 1: Already solved.
Part 2: 1 quesadilla.
Step-by-step explanation:
Part 1: The data points given are 0, 0, 1/4, 1/2, 1/2, 1, 1, 1, 5/4, 2, and 2.
The data are already sorted from least to greatest.
Part 2: To get the interquartile range, we must know the first and third quartiles. To find those, we need to know the median of the data.
There are 11 data points, so we can cross out 5 numbers on the left and cross out 5 numbers on the right. That leaves a median of 1.
Since we know the median is 1, we can find the first quartile by finding the median of the following numbers: 0, 0, 1/4, 1/2, 1/2 (any number less than 1). There are five numbers, so cross out two numbers from the left and cross out two numbers from the right. We are left with a first quartile of 1/4.
Now that we have the first quartile, we need to find the third quartile. Since the median was actually the first "1" in the data set, the third quartile will be the median of the numbers to the right of that "1": 1, 1, 5/4, 2, 2. Cross out the leftmost two numbers, and cross out the rightmost two numbers. We are left with a third quartile of 5/4.
Now that we have both the third and first quartiles, we can find the interquartile range! The IQR is calculated by finding the third quartile minus the first quartile. 5/4 - 1/4 = 4/4 = 1.
So, your interquartile range is 1 quesadilla.
Hope this helps!
Answer:
1
Step-by-step explanation:
On khan
can anyone please help me
Two circles of radii 3cm and 4cm have the same total area as a third circle.What is the radius of the third circle.
Answer:
5 cm
Step-by-step explanation:
Area of 3 cm circle
A = pi r^2 = pi *3^2 = 9pi
Area of 4 cm circle
A = pi r^2 = pi *4^2 = 16pi
The area of the new circle is 16pi+9pi = 25 pi
25 pi = pi r^2
Divide each side by pi
25 = r^2
Take the square root of each side
sqrt(25) = sqrt(r^2)
5 = r
The radius is 5
Find the volume of a pyramid with a square base, where the side length of the base is
4.8 cm and the height of the pyramid is 4.6 cm. Round your answer to the nearest
tenth of a cubic centimeter.
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
20°solution,
Angles in a straight line ( linear pair)= 180°
180°-110°=70°
Now,
Sum of angle in triangle= 180°
[tex]70 + x + x + 70 = 180 \\ or \: 70 + 2x + 70 = 180 \\ or \: 140 + 2x = 180 \\ or \: 2x = 180 - 140 \\ or \: 2x = 40 \\ or \: x = \frac{40}{2} \\ x = 20[/tex]
Hope this helps...
Good luck on your assignment...
Multiply . Simplify (or reduce) your answer , if necessary 5 multiplied 9/10
Answer:
that doesnt make sense dooooooode
Step-by-step explanation:
lol
Answer:
Step-by-step explanation:
[tex]5*\frac{9}{10}=1*\frac{9}{2}=\frac{9}{2}=4\frac{1}{2}[/tex]
PLEASE HELP ME ASAP!!!! I DON'T UNDERSTAND THIS!!!!
Answer: 62
Step-by-step explanation:
The surface area of a rectangular prism is 2(wl+hl+hw).
Simply plug in the values to get 62
Answer:
62cm ^2
Step-by-step explanation:
every cube has 6 sides,
2(3*5) + 2(2*3)+ 2(2*5)=
2(15)+2(6)+2(10)=
30+12+20=
62
A rectangle with an area of 192 square meters has a length and width in a ratio of 3:1. What are the length and width?
Hey there! :)
Answer:
Length = 24 meters.
Width = 8 meters.
Step-by-step explanation:
Recall that to find the area of a rectangle, the formula is as shown:
A = l × w
In this case, the length is 3 times the length of the width, or 3 : 1.
Let w = width, and
3w = length.
Find the value of w by plugging in these values into the equation:
192 = 3w · w
192 = 3w²
Divide both sides by 3:
64 = w²
Square root both sides:
w = 8 meters. This is the width.
The length is equivalent to 3w, so:
3(8) = 24 meters.
PLEASE HELP ME I need it ASAP
Answer:
First question: D Second question: A
Step-by-step explanation:
Use the formulas given and plug them in
If one quart of paint is exactly enough for two coats of paint on a 9-foot by 10-foot wall, how many quarts of paint are needed to apply one coat of paint to a 10-foot by 12-foot wall? Express your answer as a common fraction.
Answer:
2/3
Step-by-step explanation:
We are told in the question that
If one quart of paint is exactly enough for two coats of paint on a 9-foot by 10-foot wall
9 foot by 10 foot wall = an area of 9 × 10 = 90ft² × 2 coats of paint = 1 quart of paint
We are to find how many quarts of paint are needed
how many quarts of paint are needed to apply one coat of paint to a 10-foot by 12-foot wall .
10 × 12 = 120ft² × 1 coat of paint = x quart
Mathematically, if
One quart of paint = 90ft² × 2
x quart of paint = 120ft² × 1
Cross multiply
90ft²× 2 × x = 120ft²
x = 120/180
x = 2/3 quart of paint
Answer:2/3
Step-by-step explanation:
I did mathcounts
Which of the following equations has a solution of x = -5?
a. Equation A
b. Equation B
c. Both A and B
d. Neither A nor B
Answer:
C. Both A & B
Step-by-step explanation:
Solve the equations given:
Equation A:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 11x and add 7 to both sides:
16x (-11x) - 7 (+7) = 11x (-11x) - 32 (+7)
16x - 11x = -32 + 7
Simplify. Combine like terms:
16x - 11x = -32 + 7
5x = -25
Isolate the variable, x. Divide 5 from both sides:
(5x)/5 = (-25)/5
x = -25/5
x = -5
Equation A is an answer choice.
Equation B:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, add 10 & subtract 2x from both sides:
-4x (-2x) - 10 (+10) = 2x (-2x) + 20 (+10)
-4x - 2x = 20 + 10
Simplify. Combine like terms:
-4x - 2x = 20 + 10
-6x = 30
Isolate the variable, x. Divide -6 from both sides:
(-6x)/-6 = (30)/-6
x = 30/-6
x = -5
Equation B is also an answer choice.
C. Both A & B is your answer.
~
What is the value of x in the equation 5 (4 x minus 10) + 10 x = 4 (2 x minus 3) + 2 (x minus 4)? Negative StartFraction 7 Over 4 EndFraction Negative one-fourth StartFraction 3 Over 20 EndFraction Three-halves
Answer:
x= 3/2 = 1.5
Step-by-step explanation:
● 5(4x-10)+10x =4(2x-3)+2(x-4)
Simplify the products
● 5*4x-5*10+10x = 4*2x-4*3+2*x-2*4
● 20x-50+10x = 8x-12+2x-8
Add the terms that don't contain x with each other
●20x-50+10x = 8x-20+2x
Add 20 in both sides
●20x-50+20+10x = 8x-20+2x+20
●20x-30+10x = 8x+2x
Add together the terms that contain x
●30x -30 = 10x
Add -10x in both sides
●30x-30-10x = 10x-10x
● 20x -30 = 0
Add 30 in both sides
● 20x-30+30 = 30
● 20x = 30
Divide both sides by 20
●20x/20 = 30/20
● x= 30/20
● x= 3/2
● x= 1.5
Answer:
3/2
Step-by-step explanation:
n + 42/–3 = –2 n = ______
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▹ Answer
n = 12
▹ Step-by-Step Explanation
n + 42 ÷ -3 = -2
n - 14 = -2
n = -2 + 14
n = 12
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
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Answer:
[tex]n=12[/tex]
Step-by-step explanation:
[tex]n+\frac{42}{-3}=-2[/tex]
[tex]n + -14 = -2[/tex]
[tex]\mathrm{Add\:}14\mathrm{\:to\:both\:sides.}[/tex]
[tex]n + -14+14 = -2+14[/tex]
[tex]\mathrm{Simplify}.[/tex]
[tex]n=12[/tex]
PLSSS HELPPPP Find |6 - 2i| by the way this is solving complex numbers
Answer: 2√ 10
Step-by-step explanation:
What is the justification for step 4 in the solution process?
9/2b +11-5/6b=b+2
step 1: 22/6b +11=b+2
step 2: 8/3b +11=2
step 3: 8/3b = -9
step 4: b = -27/8
A. the addition property of equality
B. the subtraction property of equality
C. the multiplication property of equality
D. combining like terms
Answer:
Multiplication property of equality
Step-by-step explanation:
Given
Step 4: b = -27/8
Required
Which property justifies it?
First, it should be noted that step 4 is a result of step 3
When step 3 is multiplied by 3/8 on both sides, we have step 4;
i.e.
[tex]\frac{8}{3b} = -9[/tex]
[tex]\frac{8}{3b} * \frac{3}{8} = -9 * \frac{3}{8}[/tex]
[tex]b = -9 * \frac{3}{8}[/tex]
[tex]b = \frac{-9 * 3}{8}[/tex]
[tex]b = \frac{-27}{8}[/tex]
The property that allows 3/8 be multiplied on both sides is referred to as the multiplication property of equality
At the Cupcake Factory, Ramon buys one large chocolate cupcake for $2.50 and 6 times as many lemon cupcakes. How much does Ramon spend on cupcakes?
Answer:$15
Step-by-step explanation:
From the information given, 6 • 2.5 = 15
Answer:
6 times 2.5 = 15
Step-by-step explanation:
$15....
80.5 square feet scaled up by a factor of 10
Answer:
805
Step-by-step explanation:
Scaling up by a factor of ten means that you must multiply the original number by 10. Because 10 has one zero, the best way to figure this out is just moving the decimal to the right ONCE (just like there is ONE zero)! This gives us 805.
If you have any other questions about this concept, please comment on my answer!!
What is 102484838+w is equal to what I need help ASAP
Answer:
120958130
Step-by-step explanation:
w=18473292
102484838+18473292=120958130
HOPE THIS HELP!
Answer:
120958130
Step-by-step explanation:
102484838+18473292=120958130
Given:
OA⊥OB, DE tangent at D
Prove: ∠ECD≅∠EDC
Answer:
x
Step-by-step explanation:
which ones do i check
Answer:
Has exactly one pair of parallel sides.
Step-by-step explanation:
Has exactly one pair of parallel sides.
McConnell owns a small computer firm thag he inherited from his father. He has no other source of income, but he might start another small firm a couple of months later. What form do you think he should fill for filling his returns? A. W-2 form B. IRS return form C. W-4 form D. 1040-EZ form
Answer:
D) 1040- EZ Form
Step-by-step explanation:
Hope this helps!
if (ax+b)(ax+c)=4x^2-25 for all values of x, and a, b, and c are constants, what is the value of b+c?
Answer: 10.
Step-by-step explanation:
You are given the equation
(ax+b)(ax+c)=4x^2-25
Expand the Left hand side by opening the bracket.
a^2x^2 + axc + abx + bc
a^2x^2 + (axc + abx) + bc = 4x^2 + 0x - 25
From the equation above, we can see that;
a^2x^2 = 4x^2
a^2 = 4
a = √4
a = 2
Also, axc + abx = 0x
axc = abx
ax will cancel out from both sides
c = b
From the equation, bc = 25
But c = b. Substitute c for b
b^2 = 25
b = √25
b = 5 = c
b + c is therefore 5 + 5 = 10
Which of the following tables represent a proportional relationship?
Answer:
B.
Step-by-step explanation:
If you want to find a table with a proportional relationship, you are looking for one where the x-values and y-values increase at the same linear rate.
In Option A, the x-values increase steadily by 1 and then by 2, but the y-values jump around. The numbers are not proportional.
In Option B, every time an x-value is presented, the y-value is two times the value of x. So, this is a proportional relationship.
In Option C, it is true that for almost every time an x-value is presented, the y-value doubles the x-value, but when x is 0, y is 1. That is not a proportional relationship.
In Option D, it is the same thing as Option A.
So, your answer is Option B.
Hope this helps!
What is the value of x?
/60"
95
O A. 1550
O B. 350
O C. 25°
O D. 600
Answer:
25
Step-by-step explanation:
i think and if you get it wrong am sorry
HELP ASAP BRAINLIEST AND THX
Answer:
A
Step-by-step explanation:
will take long to explain...but am sure it's A
Express the radical using the imaginary unit, i
Express your answer in simplified form.
tv-49 =
Answer:
7i.
Step-by-step explanation:
Note : The given expression must be [tex]\sqrt{-49}[/tex].
We have to write this radical value in the imaginary value.
The given value can be rewritten as
[tex]\sqrt{-49}=\sqrt{49\times (-1)}[/tex]
[tex]\sqrt{-49}=\sqrt{49}\times \sqrt{-1}[/tex] [tex][\because \sqrt{ab}=\sqrt{a}\sqrt{b}][/tex]
[tex]\sqrt{-49}=7\times i[/tex] [tex][\because \sqrt{-1}=i][/tex]
[tex]\sqrt{-49}=7i[/tex]
Therefore, the required expression is 7i.
What is the intersection of the lines x = -15
and y=5 ?
Answer:
the point on the plane (-15, 5)
Step-by-step explanation:
These lines are:
1) a vertical line (x=-15) which implies that all x values of the points that it contains have coordinate x= -15
2) a horizontal line (y=5) which implies that all y values of the points that it contains have coordinate y = 5
Then the intersection must occur at x = -15 and y = 5, that is at the point (-15, 5)
The base of a shipping drum is in the shape of a circle with a diameter of 26 inches. Which of the following is closest to the circumference of the base of the shipping drum? (Use 3.14 for π .)
Answer:
Circumference = 81.64 inches
Please choose the closest out of the provided choices or post them if necessary.
Step-by-step explanation:
Circumference = diameter * pi
= 26 * 3.14
= 81.64
in the diagram below, p is circumscribed about quadrilateral abcd. what is the value of x
angle c= 88 degrees
angle a= x+10 degrees
Answer:
40
Step-by-step explanation:
5a - b - a + 1/2b please jelp
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▹ Answer
4a - b + 1/2b
▹ Step-by-Step Explanation
5a - b -a + 1/2b
Collect like terms
4a - b + 1/2b
Final Answer
4a - b + 1/2b
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
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please help look at the picture....