please help me What is the mode of the data shown in this stem-and-leaf plot?
Stem Leaf
1 3 7 7
2 2 4 4 4 5
3 1 5 8 9
4 0 6 7
Key: 2|1=21
Enter your answer as a number, like this: 42 and explain your answer
Explanation:
The mode corresponds directly to the most frequent leaf, ie the leaf that shows up the most. This is because the mode itself is the most frequent value of a list of numbers. Be sure to keep the rows separate. The leaf "5" shows up twice, but it's for two different stems. The leaf "7" is a similar story.
In row two, we have the leaf "4" show up three times which is the most of any leaf for any given stem. Tie that leaf to the stem 2 and we get the value 24.
The mode is 24.
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In an aquarium, there are starfish and octopi in a tank. The total number of animals in the tank is 30. The total number of legs in the tank is 171. Assuming that all animals have all their legs, find the number of each type of animal in the tank. (Starfish have 5 legs and Octopus have 8 legs)
(solve using substitution method. MUST SHOW WORK)
There are 23 sharks and 7 octopi in the aquarium
Let the number of sharks in the aquarium be xLet the number of octopi in the tank be y
If the total number of animals in the tank is 30, therefore;
x + y = 30 ....................... 1If the total number of legs in the tank is 171 with starfish having 5 legs and Octopus having 8 legs, the required expression will be:
5x + 8y = 171 ................ 2From equation 1, x = 30 - y ................... 3
Substitute equation 3 into 2 to have:
5(30-y) + 8y = 171
150 - 5y + 8y = 171
3y = 171 - 150
3y = 21
y = 7
Recall that x = 30 - y
x = 30 - 7
x = 23
Hence there are 23 sharks and 7 octopi in the aquarium
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A cylindrical, wooden table top has a density of 0.42 g cm 3 and a mass of 0.25 kg.
The table top has a depth of 6 cm.
Find the radius of the table top, rounded to 1 dp.
The radius of the table top, rounded to 1 dp is 5.6 cm
From the question,
We are to determine the radius of the table top
First, we will determine the volume of the cylindrical wooden table
From the given information
Density = 0.42 g/cm³
Mass = 0.25 kg = 250 g
Using the formula
[tex]Volume = \frac{Mass}{Density}[/tex]
∴ [tex]Volume = \frac{250}{0.42}[/tex]
Volume = 595.238 cm³
Now, for the radius of the table top
Using the formula for volume of a cylinder
[tex]V = \pi r^{2}h[/tex]
Where V is the volume
r is the radius
and h is the height or depth
From the given information
h = 6cm
Putting the parameters into the formula
[tex]595.238 = \pi r^{2} \times 6[/tex]
∴ [tex]r^{2} = \frac{595.238}{6\pi }[/tex]
[tex]r^{2} =31.57835667[/tex]
[tex]r =\sqrt{31.57835667}[/tex]
r = 5.6 cm
Hence, the radius of the table top, rounded to 1 dp is 5.6 cm
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WILL GIVE BRAINLIEST
HELP ASAP!! WILL ADD 5 STAR RATING !!!
ANY AND ALL LINKS OR WRONG ANSWERS WILL BE REPORTED !!!!
Answer:
(1.5,-1)
Step-by-step explanation:
Answer:
(1.5), (-1)
Step-by-step explanation:
The figure below shows a quadrilateral ABCD. Sides AB and DC are congruent and parallel:
(image)
Which statement best describes a flaw in the student's proof?
Angle DBC and angle BDA form a pair of vertical angles, not a pair of alternate interior angles, which are congruent.
Triangles ABD and CDB are congruent by the SAS postulate instead of the SSS postulate.
Triangles ABD and BCD are congruent by the AAS postulate instead of the SSS postulate.
Angle DBC and angle BDA form a pair of corresponding angles, not a pair of alternate interior angles, which are congruent.
The statement that best describes a flaw in the students' proof is;
Option D; Angle DBC and angle BDA form a pair of corresponding angles, not a pair of alternate interior angles, which are congruent.
From the given image, we can see that;
AB ≅ DC
Let us analyze each given option;
A) ∠DBC and ∠BDA are in the same triangle ΔBDC. Now, they can't be a pair of vertical angles because vertical angles are a pair of opposite angles formed when two lines intersect but this is not the case here.
They are also not alternate interior angles because alternate angles are formed when a transverse line intersects two coplanar lines and again that is not the case here.
B) In ΔABD and ΔBDC, we see that;
AB = DC. Also, by theorem of alternate interior angles, we can tell that;
∠ABD = ∠BDC
Similarly, ∠BDA = ∠DBC from alternate interior angles.
Thus, there is one corresponding side and two non-included angles which means the triangles are congruent by AAS Congruency postulate.
C) As seen in B above, this statement is correct because the triangles are congruent by AAS postulate.
D) Corresponding angles lie on the same side of the transversal. In this case, ∠BDA and ∠DBC lie on opposite sides and are even congruent by alternate interior angles.
Read more about congruency at; https://brainly.com/question/7727792
1
Arrange the following steps in the right order so as to find the roots of the following quadratic equation.
22 +22 - 8=0
=
-2 +6
=
2
-2 +4+32
2.
=
= = =
I = -4; = 2
x = -13
TI
-2 = 36
2
-2 +(2) – 4(1)(-8)
2 (1)
2
= r = -1 -3: x = -1 +3
Answer:
22 +22 - 8=0
=
-2 +6
=
2
-2 +4+32
2.
=
= = =
I = -4; = 2
x = -13
TI
-2 = 36
2
-2 +(2) – 4(1)(-8)
2 (1)
2
= r = -1 -3: x = -1 +3 = sin \theta
Step-by-step explanation:
Evaluate:
[tex] {8}^{ - \frac{2}{3} } [/tex]
with steps please
[tex]8^{-\tfrac 23}\\\\\\=\left(8^{\tfrac 13 }\ \right)^{-2}\\\\\\=\left[\left(2^3\right)^{\tfrac 13} \right]^{-2}\\\\\\=\left(2^{\tfrac 33} \right)^{-2}\\\\\\=2^{-2}\\\\=\dfrac 1{2^2}\\\\\\=\dfrac 14[/tex]
[tex] {8}^{ - \frac{2}{3} } \\ = {2}^{3 \times - \frac{2}{3} } \\ = {2}^{ - 2} \\ = \frac{1}{2^{ 2}} \\ = \frac{1}{4} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
There are 25 students in Mr. Detwikers 1st period class. If 76% of these students complete their homework last night. How many students did their homework?
Which rule was used to create the input/output?
Answer:
B. y = -4x
Step-by-step explanation:
input x in the possible answers
y = -4x
-4(2) = 8
-4(1) = -4
-4(-3) = 12
-4(-5) = 20
Write a system of equations to describe the situation below, solve using elimination, and fill in
the blanks.
The manager at a community pool is looking over receipts. On a certain Monday, the pool had
16 children and 42 adults, which brought in $142. That same week on Tuesday, 24 children
and 26 adults came to the pool, which brought in $102. What are the admission prices for
children and adults?
Answer: Child is $1 and Adult is $3, per person.
Step-by-step explanation:
We have two unknowns, so we need at least two equations. Let C and A stand for the price of a ticket for a child and an adult, respectively.
The income for Monday and Tuesday can be calculated:
Monday: 16C + 42A = $142
Tuesday: 24C + 26A = $102
Rearrange the second equation to isolate one of the variables. I'll pick C:
24C + 26A = $102
C = ($102 - 26A)/24
Now use this expression for C in the first equation
16C + 42A = $142
16(($102 - 26A)/24) + 42A = $142
16(($102 - 26A)/24) + 42A = $142
(1632 - 416A)/24 + 42A = $142
(68 - 17.3333A + 42A = $142
24.6667A = 74
A = 3 [The price of an adult pool admission is $3]
Use this value in either equation to find the price of a child's admission:
24C + 26A = $102
24C + 26*($3) = $102
24C = 102 - 78
C = $1 [The price of a child's admission to the pool is $1]
Check to see if these prices satisfy both equations:
Monday: 16C + 42A = $142
Tuesday: 24C + 26A = $102
---
Monday: 16*(1) + 42*(3) = $142 ? YES
Tuesday: 24*(1) + 26*(3) = $102 ? YES
Child is $1 and Adult is $3, per person.
A scale of a model has a scale of 1:360.
A. The actual length of the football field including the end zones is 120. how long in inches is the football field in the model?
B How many times the length of the model is the length of the actual stadium
Answer:
120 yards,360 feet's of length and 53 1/3 yards,160 feet of width
Y+2= 1/3(x+6)
Solve for y
Answer:
y = 1/3x
Step-by-step explanation:
Alright, so we have an equation with two variables (y and x) and I need to solve for y in terms of x. That is, I need to isolate y one one side with all the other terms on the other side.
First, let's distribute the 1/3 on the right side of the equation onto the x and 6 inside the parentheses.
y + 2 = 1/3(x + 6)
y + 2 = 1/3(x) + 1/3(6)
y + 2 = 1/3x + 2
Now, let's isolate y on the left side by removing 2 from both sides.
y + 2 = 1/3x + 2
y + 2 - 2 = 1/3x + 2 - 2
y = 1/3x
So, y is equal to 1/3x. Hopefully that's helpful! :)
Please write a equation for this table
Answer:
y = 5x +2
Step-by-step explanation:
The point (0, 2) tells us the y-intercept is 2.
If we translate the table down 2 units by subtracting 2 from every y-value, it becomes ...
6, 30
-2, -10
0, 0
10, 50
We notice these values are all related by a factor of 5 (they are proportional). That means the equation will be a straight line with slope 5 and y-intercept 2.
y = 5x +2
Answer this pleaseeee <3 <3 <3 <3 <3 <3 <3
Answer:180%
Step-by-step explanation:
72/40 = 1.8
(1.8)(100)= 180
Answer:
Answer: 180%
Step-by-step explanation:
Write the word sentence as an equation. Then solve the equation.
The quotient of a number and -1.5 is 21.
a
Equation:
Solution: x=
Answer:
Step-by-step explanation:
"The quotient of a number and -1.5 is 21."
Let X be the "number."
X/-1.5 = 21
X = -1.5*(21)
X = - 31.5
Determine the correct value of 3x + 2 when x= 5
Step-by-step explanation:
3x+2
3 x 5=15
15 + 2 = 17
so your answer is 17
pemdas
Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Satoko has 30 tokens to spend at an arcade. The three lines represent the cost of playing Satoko's three
favorite games for various numbers of times.
Answer:
KOF
Step-by-step explanation:
Khan Academy
Trust me
Answer:
KOF
Step-by-step explanation:
Khan academy
how do you evaluate?
We evaluate an algebraic expression by the determination of an unknown variable.
Evaluation is a systematic method used in solving most algebraic expressions in mathematics.
Let assume that we have a given algebraic expression where y is expressed in terms of x and;
y = 2x + 5 where (x = 4)
Here, y and x are the variables;y = 2(4) + 5
y = 8 + 5
y = 13
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pls help
Determine if each pair of ratios is equivalent or not. 6/8 21/36
Answer:
Not
Step-by-step explanation:
6/8 In Simplest Form 3/4
21/36 In Simplest Form 7/12 May Be The Answer Will Be Not Equivalent
Hope To Help!!!
Which expression represents how many years are in X months
Answer:
12 months is one year so the expression is:
Step-by-step explanation:
2year = 2(X)
so you know one year 12 months you can put 12 on the x value
2 years = 2(12)
2 years = 24 months
PLEASE HELP ME!!!!!!!!
Answer:
answer ????
Step-by-step explanation:
Which will result in a difference of squares? (–7x + 4)(–7x + 4) (–7x + 4)(4 – 7x) (–7x + 4)(–7x – 4) (–7x + 4)(7x – 4)
merry Christmas y'all
Answer:
(-7x + 4)(-7x - 4)
Step-by-step explanation:
When you multiply two binomials together and you want the result to be the difference of squares, the two binomials must have the same terms and ONE of the terms must have the opposite sign.
Ex: (a+b)(a-b)
OR (x+2)(x-2)
OR (m-3)(m+3)
OR (2x+1)(2x-1)
OR (-5n+7)(-5n-7)
These multiplications
(–7x + 4)(–7x + 4) and
(-7x + 4)(4 - 7x) yield a perfect square trinomial.. Both factors are identical, so they are not the answer.
(–7x + 4)(7x – 4) is also not the answer because one factor is the opposite of the other factor. That is, both terms in one factor are the opposite sign from the other. We need just ONE term to have the opposite sign.
Difference of squares:
(a+b)(a-b)=
a^2 - b^2
On a scale drawing of a town,two landmarks are shown 6 inches apart. These two places are actually separated by 54 miles. What is the map's scale? 1 inch = ______ miles
Answer:
9
Step-by-step explanation:
[tex]54 \div 6 = 9[/tex]
9x + 1 = -26 what is the value of x
[tex]\huge \bf༆ Answer ༄[/tex]
Let's solve for x ~
[tex] \sf9x + 1 = - 26[/tex][tex] \sf9x = - 26 - 1[/tex][tex] \sf x = - 27 \div 9[/tex][tex] \sf x = - 3[/tex]Hence, value of x is -3
A group of fitness club members lose combined total of 28 kilograms in 1 week there are approximately 2.2 pounds in 1 kilogram assuming the weight loss happened at a constant rate about how many pounds did the group lose each day?
Answer:
8.8
Step-by-step explanation:
First turn 28 kilograms into pounds by multiplying 2.2 by 28. You end up with 61.6 pounds lost in one week. Next you take 61.6 divided by 7 to know how many pounds were lost in each day. You should end up with about 8.8 pounds.
Hope This Helps:)
Answer: 8.8
Step-by-step explanation:
Dani spent $6,300 on a used car. She paid $630
as a down payment. What fraction of the orig-
inal cost was the down payment?
A. 1/10
B. 1/18
C. 1/20
D. 1/40
Answer:
1/10
Step-by-step explanation:
630/6300 = 0.1
0.1*100 = 10
10% a.k.a 1/10
Hope this helped!
F(x) = 3x2+ 6x - 18 find f (10)
Answer:
f(10) = 342
Step-by-step explanation:
f(x) = 3x² + 6x - 18
f(10 = 3(10)² + 6(10) - 18
f(10) = 3(100) + 60 - 18
f(10) = 300 + 60 - 18
f(10) = 360 - 18
f(10) = 342
Could someone help. Please show work
Answer:
x=-2 and y=5
x=-1 and y=4
Step-by-step explanation:
hope tha work
Can someone plz help Me?
Answer:
i am pretty sure its C
Step-by-step explanation:
Triangle JKL is similar to triangle MNO. Find the measure of side MN. Round your answer to the nearest tenth if necessary.
Answer:
I believe the answer is 47. Forgive me if I'm wrong