Answer:
11 inches
Step-by-step explanation:
Perimeter of each rectangle = 33 inches
The square cake is cut in half
which means two half sides would equal one whole side.
2 × 1/2 = 1
The two "halves" in the smaller rectangle would equal one whole side + the two whole sides in the smaller rectangle
1 + 2 = 3
Each side of the original square cake = 33 inches / 3
= 11 inches
Each side of the original square cake = 11 inches
(a) Contrast the shapes of the data sets displayed in the box-and-whisker plots in Question 1. Explain
what the difference in the shapes means in context of the situation.
(b) Compare the spread of the data sets. Discuss both the overall spread and the spread within the
boxes.
(c) Use an appropriate measure of central tendency to compare the center of the data sets. Explain what
the difference in those measures means in context of the situation.
Answer:
Kindly check explanation
Step-by-step explanation:
A.)
Differentiating based on the shape of the box and whisker plot.
The first plot, named shrella depicts a skewed distribution, (negative skew) highlighted by the long whisker (tail) to the left with the median also shifting towatds to the right of the box away from the box center. This could mean that the time difference between the coins aren't even and older coins seem to exhibit a larger time gap than newer coins.
The second plot however. VENITA, depicts a distribution which could be described as normal, as the whiskers are aodt of equal length and the median centered in the middle of the box. This could mean that Venita's coins are evenly spread out based time.
B.)
As for the overall spread, Shrella's plot covers a wider range, hence (larger spread) than Venita's plot. Thanks to the long whiskers in Shrella's plot.
For the spread within the boxes, Venita's plot has a larger within box spread than Shrella. With Venita's plot has a wider box tham Shrella's box plot.
C)
The appropriate measure of centre to be used is the median which is denoted by the vertical line in between the box. Shrella's plot has a median value of about 68 while Venita's has a median value of 60. The median value are still s bit close or similar.
What is the average lifespan of Tasmanian devils?
Use cosine law to find the value of x. Show working. use ^ for power and sqrt for square root
Answer:
x ≈ 11.89
Step-by-step explanation:
Using the cosine rule
x² = 4² + 9² - ( 2 × 4 × 9 × cos128° )
= 16 + 81 - 72cos128°
= 97 - (- 44.33 )
= 141.33 ( take the square root of both sides )
x = [tex]\sqrt{141.33}[/tex] ≈ 11.89 ( to 2 dec. places )
luke has a set of cards numbered 1 to 8, which he arranges in pairs. He notes the sum of the numbers on each pair of cards and calculates the lowest common multiple of the four sums. if luke obtained an LCM of 24, find two different ways in which the cards could have been paired
Answer:
(5,7 6,2 4,8 1,3) and (7,1 5,3 4,8 6,2)
Answer: 5,7 6,2 4,8 1,3 7,1 5,3 4,8 6,2
Step-by-step explanation:
3 packets of fries cost £4.20
How much does 5 packets of fries cost?
Select one
a. £6.40
b. £6.00
C. £7.00
Answer:
C
Step-by-step explanation:
First, divide £4.20 by 3 to get the price for 1 packet.
4.20/3 = 1.4
5 packets is 5 times that, so multiply 1.4 times 5. You get 7. So 5 packets costs £7.00
So i have a pic i need 1a plz i am giving a bunch of my points plz give it real asap
Answer:
3x - (15 x 3) = 90
or
3x - 45 = 90
Explanation:
there are 3 boxes. We don't know how many are in them yet, so we write this as 3x. However, we know that we give away 15 to 3 different teachers. 15 x 3 = 45
Therefore the first part is 3x - 45
We also know that in the end we have 90 left.
So our final equation is:
3x - 45 = 90
median for 61, 61, 62, 64, 66, 69, 70, 72, 73, 74, 78, 78
Answer:
69.5
Step-by-step explanation:
Okay first, line them up from least to greatest. Luckily, you have already dont that. now start removimg numbers on each side to get the median.
61, 61, 62, 64, 66, 69, 70, 72, 73, 74, 78, 78
61, 62, 64, 66, 69, 70, 72, 73, 74, 78,
62, 64, 66, 69, 70, 72, 73, 74,
, 66, 69, 70, 72,
now you
Pls pls help !!! I rlly need it pls
Answer:
The x-intercepts of this quadratic function would be (-1, 0) and (4, 0).
Step-by-step explanation:
The x-intercepts of a function are where the graph of the function hits the x-axis on a coordinate plane, meaning the y-coordinate of an x-intercept would always be 0. In this quadratic function's graph, the parabola crosses the x-intercept at two points: (-1, 0) and (4, 0). So that would be the correct answer.
What is the scale factor?
Answer:
I send you a pic
Step-by-step explanation:
is that help?
Pythagorean Theorem to solve for x. If the hypnoses is 10 m, and one leg is 6 m. Find the other leg x
Answer:
The other leg X = 8m
Step-by-step explanation:
As per Pythagorean theorem-
Square of hypotenuse = sum of square of other two sides of the triangle
Substituting the given values in above equation, we get -
[tex]10^2 = 6^2 + X^2\\100 - 36 = X^2\\X^2 = 64\\X = 8[/tex]m
The other leg X = 8m
A student makes a sign out of a rectangular piece of cardboard for an upcoming event at school. The piece of cardboard has a length of 50 inches (in.) and a width of 25 inches. The sign is in the shape of an arrow, as shown. how much cardboard, in square inches, is not used for the sign?
Answer:
915 in²
Step-by-step explanation:
The area of the rectangle :
Length = 32 inches
Width = 25 - (10+10) = 25 - 20 = 5 inches
Area of rectangle = Length * width
Area = 32 * 5 = 160 in²
Area of triangle :
Base = 25 inches
Height = (46 - 32) inches = 14 inches
Area of triangle = 1/2 * base * height
Area of triangle = 1/2 * 25 * 14 = 175 in²
Total area = (160 + 175)in² = 335 in²
Total area of cardboard :
50 inches * 25 inches = 1250 in²
Amount of cardboard not used :
(1250 - 335) in² = 915 in²
In a local car lot, 1/6
of the cars have standard transmissions. Find the
probability that 3 of 4 randomly-selected cars have standard transmissions.
Answer: [tex]\dfrac{5}{324}[/tex]
Step-by-step explanation:
Given
Probability that car has a standard transmission is [tex]\frac{1}{6}[/tex]
So, the probability that the car does not have transmission is
[tex]1-\dfrac{1}{6}=\dfrac{5}{6}[/tex]
Probability of that 3 out of 4 randomly selected cars have standard transmissions is given by selecting 3 cars with standard deviation and then multiply by their respective probabilities
[tex]\Rightarrow P=^4C_3\cdot \left(\dfrac{1}{6}\right)^3\cdot \left(\dfrac{5}{6}\right)\\\\\Rightarrow P=4\times\dfrac{5}{6^4}\\\\\Rightarrow P=\dfrac{20}{1296}\\\\\Rightarrow P=\dfrac{5}{324}[/tex]
Help me out please???
Help me out please???
A hockey bag contains 5 red jerseys, 6 blue jerseys and 7 white jerseys.
What is the probability that Jack picks a white then a blue jersey if he puts the first one back.
Answer:
7/54
Step-by-step explanation:
A hockey bag contains 5 red jerseys, 6 blue jerseys and 7 white jerseys.
Let the total number of jerseys =
5 red jerseys + 6 blue jerseys 7 white jerseys.
= 18
P(White) = 7/18
P(Blue) = 6/18
Hence, the probability that Jack picks a white then a blue jersey if he puts the first one back.
This is probability with replacement, hence:
7/18 × 6/18
= 7/18 × 1/3
= 7/54
Which expression simplifies to 5v3?
Answer:
D.
Step-by-step explanation:
Answer:
D. V15
Step-by-step explanation:
No link please!! But please help!!
Given:
The radius of the circle X is XY.
Coordinates of X are (0,3) and coordinates of Y are (-3,-1).
To find:
The area of the circle.
Solution:
Distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The radius of the circle is the distance between the points X(0,3) and Y(-3,-1).
[tex]XY=\sqrt{(-3-0)^2+(-1-3)^2}[/tex]
[tex]XY=\sqrt{(-3)^2+(-4)^2}[/tex]
[tex]XY=\sqrt{9+16}[/tex]
[tex]XY=\sqrt{25}[/tex]
[tex]XY=5[/tex]
The radius of the circle is 5 units.
The area of the circle is:
[tex]A=\pi r^2[/tex]
Where, r is the radius of the circle.
Putting [tex]\pi=3.14, r=5[/tex] in the above formula, we get
[tex]A=(3.14)(5)^2[/tex]
[tex]A=(3.14)(25)[/tex]
[tex]A=78.5[/tex]
Therefore, the area of the circle is 78.5 square units.
Helpppp chile. I’m stuck sidnfifnfig vkfniffnf
Step-by-step explanation:
12*4 - 2*2
48 - 4
44 ft of carpet.
please help
Three systems of equations are shown in the table below
Answer:
1. One solution
2. Infinitely many solutions
3. No solution.
Kyle bought x candy bars. He paid $0.89, including tax, per candy bar. He gave the cashier $10 and received $3.77 in change. How many candy bars did Kyle purchase?
Answer:
I think 7
Step-by-step explanation:
Answer:
Without tax, it is 7. How much is the tax?
Step-by-step explanation:
10.00 - 3.77 = 6.23
0.89 x 7 = 6.23
Find the measure of x any y
Answer:
Step-by-step explanation:
2,1,4,3,6,5,8,___
plz answer this question and solve
Answer:
2,1,4,3,6,5,8,7
Step-by-step explanation:
Given:
2,1,4,3,6,5,8,___
Pairing the sequence in twos
2,1
4,3
6,5
It can be seen that each pair of the sequence is arranged in descending order (from highest to lowest)
1, 2 is written as 2,1
3, 4 is written as 4,3
5, 6 is written as 6, 5
Then the next two numbers
7, 8 will be written as 8,7
2,1,4,3,6,5,8,7
The Raptors football team was losing when they got
control of the ball at midfield in the last minute of a
game. They lost 25 yards on the first play they ran. Then
they gained 5 yards on the second play. On the third
play, the Raptors gained 27 yards, and on the fourth
play, they gained 30 yards. What was the position of the
ball relative to its starting point after those four plays?
Answer:
After those four plays, the Raptors gained 37 yards from the first play.
Step-by-step explanation:
Since the Raptors football team was losing when they got control of the ball at midfield in the last minute of a game, and they lost 25 yards on the first play they ran, but then they gained 5 yards on the second play, while on the third play, the Raptors gained 27 yards, and on the fourth play, they gained 30 yards, to determine what was the position of the ball relative to its starting point after those four plays the following calculation must be performed:
0 - 25 + 5 + 27 + 30 = X
-25 + 5 + 27 + 30 = X
-20 + 27 + 30 = X
7 + 30 = X
37 = X
Therefore, after those four plays, the Raptors gained 37 yards from the first play.
(PLEASE HELP)
Which value of x makes this equation true
-90=-100+x
Answer:
-0.9
Step-by-step explanation:
-0.9 × 100 = -90
answer : -90 = -100+x → x = 10
explanation : to solve for x, you are simplifying both sides of the equation, then isolating the variable.
step 1 : move the variable to the left-hand side and change its sign.
ex : -90-x = -100
step 2 : move the constant to the right-hand side and change its sign.
ex : -x = -100+90
step 3 : calculate the sum
ex : -x = -10
step 4 : change the signs on both sides of the equation
ex : x = 10
solution : x=10
hope this helps !
- audrey ♡
The coaches at Dobie High School recorded the number of miles ran by various students. What is the difference between the number of students who ran 2 and a half or three miles and the number of students who ran one or one and a half miles?
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as a table or chart that shows the required data is not given.
To answer this, I will make use of the following frequency table
[tex]\begin{array}{cccccc}{Miles} & {1} & {1\frac{1}{2}} & {2} & {2\frac{1}{2}} & {3} \ \\ {Students} & {10} & {0} & {5} & {10} & {5} \ \end{array}[/tex]
From the above table.
[tex]2\frac{1}{2}\ miles \to 10\ students[/tex]
[tex]3\ miles \to 5\ students[/tex]
So:
[tex]2\frac{1}{2}\ or\ 3\ miles = 10+5[/tex]
[tex]2\frac{1}{2}\ or\ 3\ miles = 15\ students\\[/tex]
From the above table.
[tex]1\ miles \to 10\ students[/tex]
[tex]1\frac{1}{2}\ miles \to 0\ students[/tex]
So:
[tex]1\frac{1}{2}\ or\ 1\ miles = 0+10[/tex]
[tex]1\frac{1}{2}\ or\ 1\ miles = 10\ students[/tex]
The difference (d) is then calculated by subtracting the number of students in both categories
[tex]d = 15\ students - 10\ students[/tex]
[tex]d = 5\ students[/tex]
The height of a diver above the water is given by the quadratic function h(t)= -5t^2+5t+10, with t in seconds and h(t) meters. When will the diver reac maximun height
Answer:
0.5 seconds
Step-by-step explanation:
Equation: h(t) = -5t²+5t=10
Where h(t) is in meter, t is in seconds.
The driver will reach maximum height when d[h(t)]/d(t) = 0
From the equation,
d[h(t)]/d(t) = -10t+5
Therefore,
-10t+5 = 0
Solve for t
-10t = -5
10t = 5
t = 5/10
t = 0.5 seconds.
Hence the height will be maximum in 0.5 seconds.
Find mZEGF.
pleaseeee help mee boo
Answer:
angle EGF = 100°
Step-by-step explanation:
here's your solution
==> angle DGE = angle AGB. [ vertical angle]
==> angle DGE = 30°
==> angle ( FGE + EGD + DGC) = 180° [ linear pair]
==> 2x + 30° + 50° = 180°
==> 2x = 180° - 80°
==> x = 100°/2
==> x = 50°
==> 2x = 100°
[tex]\huge\mathfrak\red{hope \: it \: helps...}[/tex]
Which quadrant is each ordered pair in?
1. (-3,1)
2. (-9,-4)
3. (10,5)
4. (6, -7)
Answer:
(-3‚1) lies in second quadrant.
please help! will give brainliest if right
Answer:
first option
Step-by-step explanation:
y = 1/4x - 5/4
this line has a slope of 1/4 and a y-intercept of -5/4
NEED HELP ASAP
there are 16 ounces in 1 pound. Juan is mailing a package that weighs 96 ounces. He wants to know the weights of the package in pounds
Answer:
Divide, 16.
Step-by-step explanation:
So, lets look at the unit scale.
For every 16 ounces, there are 1 pound.
To convert ounces to pounds, the number must be divide by 16, since there are 16 ounces in one pound.
The first fill in box answer is division.
Next we must ifnd the actual amount of pounds.
We know that the box weights 96 ounces.
Now lets divide this by ounces per pound, and see what we get:
96/16
=
6
So the box weighs 6 pounds.
This is the answer to the second fill in question.
Hope this helps!
Answer: MULTIPLY N AND 16 THE OTHER GUY IS WRONG
Step-by-step explanation:
DID IT ON I-READY