Answer:
The greatest common factor is 2
Step-by-step explanation:
2= 1,2
4=1,2,4
they all share 2 GCF
Which Box-and-Whisker Plot below correctly illustrates the data shown below? {30, 22, 22, 27, 28, 23, 24, 25, 26, 23} A. B. C. D.
The box-and-whisker plot that illustrates the given data set is shown in the image below (see attachment).
What is a Box-and-Whisker Plot?A box-and-whisker plot consists of the following values of a data set: min, max, lower quartile, median, and upper quartile..
Given the data set, 30, 22, 22, 27, 28, 23, 24, 25, 26, 23, the five-number summary for the box-and-whisker plot would be:
Minimum: 22 Quartile Q1: 22.75 Median: 24.5 Quartile Q3: 27.25 Maximum: 30Therefore, the box-and-whisker plot that illustrates the given data set is shown in the image below (see attachment).
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Answer:
the answer is d look at this picture for proofs
There are red and blue files in a box. The ratio of red to blue tiles is 3:5. There are 12 more blue tiles than red tiles in the box. How many red tiles are in the box? There are red and blue files in a box . The ratio of red to blue tiles is 3 : 5 . There are 12 more blue tiles than red tiles in the box . How many red tiles are in the box ?
The number of red tiles in the box given the chance ratio of red to blue tiles is 18
RatioNumber of red tiles = xNumber of blue tiles = 12 + xTotal tiles = x + 12 + x= 12 + 2x
Ratio of red = 3Ratio of blue = 5Total ratio = 3 + 5 = 8Number of red tiles = 3 / 8 × 12+2x
x = 3(12 + 2x) / 8
x = (36 + 6x) / 8
8x = 36 + 6x
8x - 6x = 36
2x = 36
x = 36/2
x = 18 tiles
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Answer: 28
Step-by-step explanation:
Find the missing side length. Show all of your work. *
If ABC~DEF what is the length of BC?
If ABC~DEF what is the length of EF?
BC would equal the same as EF, they are similar. All you would have to do is figure out the pre image (BC) of EF.
Answer: 8
Step-by-step explanation:
Advanced Algebra - please help!!!!
Answer:
3th
Step-by-step explanation:
all powers should be pos and integer
m - 6 > -9
Solve the inequality
Answer:
m> -3
Step-by-step explanation:
m-6 > - 9
you use inverse opperations and you add six to the other side.
m-6 > - 9
+6 +6
m > -3
Calculate the distance between the points N=(-2,-1) and L=(3-4) in the coordinate plane. Give an exact answer (not a decimal approximation)
The distance between N=(-2,-1) and L=(3,-4) in coordinate plane will be √34 unit.
What is plane?
In two dimensions, a plane can continue on forever. The lack of breadth. A plane is an example of coordinate geometry. A point's location in a plane is determined by its coordinates.
A plane is a two-dimensional, flat surface that never ends in mathematics. A plane is a two-dimensional equivalent of a three-dimensional equivalent that contains three spatial dimensions, a line, and a point. Planes can resemble subspaces in some higher-dimensional situations, as if the room's walls had been substantially stretched. These walls have their own existence, exactly as in the context of Euclidean geometry.
A flat surface in three dimensions can be represented using the plane equation. There are several approaches for determining the equation for a given function.. The equation for the plane can be expressed in either cartesian form or vector form.
Hence, the general form of the equation is A(x−x1)+B(y−y1)+C(z−z1)=0
Now,
For given two points in (x1,y1),(x2,y2) in coordinate plane
distance between them will be = √((x2-x1)²+(y2-y1)²)
So, distance between N=(-2,-1) and L=(3,-4)=√((3+2)²+(-4+1)²)
=√(25+9)
=√34
hence,
The distance between N=(-2,-1) and L=(3,-4) in coordinate plane will be √34 unit.
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if i have 20 apples and jimmy has 20 apple then how much do they have together
Answer:
40
Step-by-step explanation:
add 20+20 and that equals 40
What is the distance between point T (-5,1) and point I (-1,1)
The distance between point T (-5, 1) and point I (-1, 1) is 4 units.
To find the distance between two points, we can use the distance formula, which is derived from the Pythagorean theorem. The formula is:
Distance = √((x2 - x1)² + (y2 - y1)²)
Let's apply this formula to find the distance between point T (-5, 1) and point I (-1, 1):
x1 = -5, y1 = 1 (coordinates of point T)
x2 = -1, y2 = 1 (coordinates of point I)
Plugging these values into the formula, we have:
Distance = √((-1 - (-5))² + (1 - 1)²)
= √(4² + 0²)
= √(16 + 0)
= √16
= 4
Therefore, the distance between point T (-5, 1) and point I (-1, 1) is 4 units.
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This is just a question I had.
If Denny (random name) left to another country and he left the Tuesday of this week (June 20) and he left for a month, what day would he be back on? I though July 18 but I’m not sure. Pls help?
Answer:
Step-by-step explanation:
Well, since the length of a month can vary in the number of days, this answer can also vary.
For example, February is only 28 days long, while December is 31 days long.
That being said, the average length of all 12 months is 30.436875 days, so if Denny left to another country on June 20th, he would most likely be back July 19th of July 20th.
I hope this helps!
What are the x-intercepts of the graph below ?
Answer:
(3, 0)(-2, 0)Step-by-step explanation:
You want to identify the x-intercepts on the graph.
X-interceptAn "x-intercept" is a point where the graph crosses or touches (intercepts) the x-axis. The y-value there is always 0.
The given graph crosses the x-axis where x = -2 and x = 3. This means the x-intercept points are ...
(-2, 0) and (3, 0)
<95141404393>
Erick and Mia live the same distance from the park and decide to meet at
the park one afternoon. The graphs show their distances from home over
the same 30-minute period as they walked to the park. Each section of
each graph represents 10 minutes.
Which of these statements are true?
Mia returned too her house after 10 minutes. T or F
Mia left her house 10 minutes before Erick left his house. T or F
It took Erick only 10 minutes to walk to the park. T or F
Erick and Mia arrived at the park at the same time. T or F
Erick walked the same distance as Mia during the last 10 minutes. T or F
B, Mia departed her home ten minutes before Erick did.
D, Erick, and Mia all showed up simultaneously at the park.
E, In the previous ten minutes, Erick and Mia both walked the same distance.
What distinguishes a graph from a chart ?A graph is a graphic that uses the placement of the horizontal (X-axis) and vertical (Y-axis) axes to demonstrate the mathematical relationship between different data sets (Y-axis).
A chart displays data that can be shown as a table, graph, or diagram. It includes a variety of information presentation techniques. Charts are all graphs.
According to the given information
According to the information given in the graph
We got the following true Statements
B, Mia departed her home ten minutes before Erick did.
D, Erick, and Mia all showed up simultaneously at the park.
E, In the previous ten minutes, Erick and Mia both walked the same distance.
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Item 19
Question 1
A person hikes 4 miles in 2.5 hours. Find the unit rate in miles per hour.
A person hikes 4 miles in 2.5 hours. Find the unit rate in miles per hour.
Answer:
Its 24
Step-by-step explanation:
im not sure
Seven students in a small class all made the same score on a test, as shown in the table. What was the mean absolute deviation for the class?
Responses
A 0
B 80
C 560
D undefined
Answer:
hey, the answer is A I'm 100% for sure:)
Step-by-step explanation:
:)
A mail-order computer business has six telephone lines. Let X denote the number of lines in use at a specified time. Suppose the pmf of X is as given in the accompanying table.
x 0 1 2 3 4 5 6
p(x) 0.12 0.18 0.20 0.20 0.20 0.07 0.03
Calculate the cdf F(x).
x 0 1 2 3 4 5 6
f(x)
Use the graph to calculate the probabilities of the events given below.
(a) {at most three lines are in use}
(b) {fewer than three lines are in use}
(c) {at least three lines are in use}
(d) {between two and five lines, inclusive, are in use}
The probability of the event between two and five lines, inclusive, are in use is 0.85.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
Given that,
x 0 1 2 3 4 5 6
p(x) 0.12 0.18 0.20 0.20 0.20 0.07 0.03
a) At most three lines are in use
Here we need to find the probability for x≤3.
P(x≤3)=P(x=0)+P(x=1)+P(x=2)+P(x=3)
= 0.12+0.18+0.20+0.20
= 0.70
b) Fewer than three lines are in use
Here we need to find the probability for x<3.
P(x<3)=P(x=0)+P(x=1)+P(x=2)
= 0.12+0.18+0.20
= 0.50
c) At least three lines are in use
Here we need to find the probability for x≥3.
P(x≥3)=P(x=3)+P(x=4)+P(x=5)+P(x=6)
= 0.20+0.20+0.07+0.03
= 0.50
d) Between two and five lines, inclusive, are in use
Here we need to find the probability for 2≤x≤5.
P(2≤x≤5)= P(x=2)+P(x=3)+P(x=4)+P(x=5)
= 0.18+0.20+0.20+0.20+0.07
= 0.85
Therefore, the probability of the event between two and five lines, inclusive, are in use is 0.85.
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Simplify the expression.
3.2a + 3.5b – 2.1a
Answer:
1.1a+3.5b
Step-by-step explanation:
Reuben made a shirt using 7/8yards of red fabric and 1/4yards of yellow fabric. How many more yards of red fabric did Reuben use?
Answer and Step-by-step explanation:
To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:
7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8
So, Reuben used 5/8 yards more red fabric than yellow fabric.
Is side lengths 4 8 9 obtuse right or acute
The side lengths given as 4 8 9 shows that it is an obtuse Triangle.
How to illustrate the triangle?It should be noted that to determine whether the triangle is acute, right, or obtuse, add the squares of the two smaller sides, and compare the sum to the square of the largest side. Since this sum is greater, the triangle is acute
In a situation if the sum of the squares of the two shorter sides of a triangle is smaller than the square of the longest side, the triangle is obtuse
This will be:
4² + 8² < 9²
16 + 64 < 81
80 < 81
It is obtuse.
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3. Jessica has pound of chocolate, and
wants to share it amongst herself and
two of her friends.
How many pounds of chocolate will each
person get?
Answer:
Everyone would get 1/3 of the chocolate cake
Shayla and Carlos each have a bag that contains five green marbles five red marbles and 10 yellow marbles the marvels are all the same size and shape which expression represents the probability that Shayla will select two red marbles
The probability that Shayla will select two red marbles from the bag is 1/16.
What is the probability?Probability determines the odds that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that Shayla will select two red marbles = (number of red marbles / total number of marbles) x (number of red marbles / total number of marbles)
5/20 x 5/20 = 1/16
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Sales of a new line of athletic footwear are crucial to the success of a newly formed company, Fleet Shoes. Fleet wishes to estimate the average weekly sales of the new footwear within $200 with 95% reliability. The initial sales indicate the standard deviation of the weekly sales figures to be approximately $1,500. How many weeks of data must be sampled for Fleet to get the information is desires?
Answer:
The number of weeks required = 216 weeks
Step-by-step explanation:
Given that:
Margin of Error E = 200
Confidence interval = 95% = 0.95
Level of SIgnificance = 1 - C.I
= 1 - 0.95
= 0.05
Standard deviation = 1500
The Critical value for Z :
\(Z_{\alpha/2} =Z_{0.05/2} \\ \\ = Z_{0.025} = 1.96\)
The number of weeks( i.e the sample size (n) ) required is :
\(n = (\dfrac{Z_{\alpha/2} \times \sigma}{E})^2\)
\(n = (\dfrac{1.96 \times 1500}{200})^2\)
\(n = (14.7)^2\)
n = 216.09
n ≅ 216 weeks
Work out the perimeter of the shaded shape.
7m
6m
16m
Answer:
no
Step-by-step explanation:
your beatiful just the way you are
dont change anything about yourself
Toula owns the Pita Pan restaurant. She needs to order supplies for the upcoming weekend rush. She needs 150 bags of pita bread. The bread come in crates of 50, and each crate costs $15.00. She also needs 65 containers of hummus dip. There are 5 containers in a box, and each box costs $20.00 What expressions can Toula use to determine how much the pita bread and hummus dips will cost? What will the total be?
The total cost of the pita bread and hummus dips will be $305.00.
To determine the cost of the pita bread and hummus dips, Toula can use the following expressions:
Cost of pita bread:
Number of crates needed = (150 bags) / (50 bags/crate) = 3 crates
Cost of each crate = $15.00
Total cost of pita bread = (Number of crates needed) × (Cost of each crate) = 3 crates × $15.00/crate = $45.00
Cost of hummus dips:
Number of boxes needed = (65 containers) / (5 containers/box) = 13 boxes
Cost of each box = $20.00
Total cost of hummus dips = (Number of boxes needed) × (Cost of each box) = 13 boxes × $20.00/box = $260.00
Therefore, the expressions Toula can use to determine the costs are:
Cost of pita bread = 3 crates × $15.00/crate
Cost of hummus dips = 13 boxes × $20.00/box
The total cost will be the sum of the costs of pita bread and hummus dips:
Total cost = Cost of pita bread + Cost of hummus dips
Total cost = $45.00 + $260.00
Total cost = $305.00
Therefore, the total cost of the pita bread and hummus dips will be $305.00.
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A city has just added 100 new female recruits to its police force. The city will provide a pension to each new hire who remains with the force until retirement. In addition, if the new hire is married at the time of her retirement, a second pension will be provided for her husband. A consulting actuary makes the following assumptions: (i) Each new recruit has a 0.4 probability of remaining with the police force until retirement. (ii) Given that a new recruit reaches retirement with the police force, the probability that she is not married at the time of retirement is 0.25. (iii) The events of different new hires reaching retirement and the events of different new hires being married at retirement are all mutually independent events. Calculate the probability that the city will provide at most 90 pensions to the 100 new hires and their husbands. (A) 0.60 (B) 0.67 (C) 0.75 (D) 0.93 (E) 0.99
Answer:
E) 0.99
Step-by-step explanation:
100 recruits x 0.4 chance of retiring as police officer = 40 officers
probability of being married at time of retirement = (1 - 0.25) x 40 = 30 officers
each new recruit will result in either 0, 1 or 2 new pensions
0 pensions when the recruit leaves the police force (0.6 prob.)1 pension when the recruit stays until retirement but doesn't marry (0.1 prob.)2 pensions when the recruit stays until retirement and marries (0.3 prob.)mean = µ = E(Xi) = (0 x 0.6) + (1 x 0.1) + (2 x 0.3) = 0.7
σ² = (0² x 0.6) + (1² x 0.1) + (2² x 0.3) - µ² = 0 + 0.1 + 1.2 - 0.49 = 0.81
in order for the total number of pensions (X) that the city has to provide:
the normal distribution of the pension funds = 100 new recruits x 0.7 = 70 pension funds
the standard deviation = σ = √100 x √σ² = √100 x √0.81 = 10 x 0.9 = 9
P(X ≤ 90) = P [(X - 70)/9] ≤ [(90 - 70)/9] = P [(X - 70)/9] ≤ 2.22
z value for 2.22 = 0.9868 ≈ 0.99
A spinner has
20
equally sized sections,
2
of which are red and
18
of which are yellow. The spinner is spun and, at the same time, a fair coin is tossed. What is the probability that the spinner lands on yellow and the coin toss is heads?
Do not round your answer.
The probability that the spinner lands on yellow and the coin toss is heads is 9/20.
To find the probability that the spinner lands on yellow and the coin toss is heads, we need to determine the probability of each event and then multiply them together.
The probability of the spinner landing on yellow is given by the number of yellow sections (18) divided by the total number of sections (20). Therefore, the probability of the spinner landing on yellow is 18/20 or 9/10.
The probability of the coin toss resulting in heads is 1/2 since there are two equally likely outcomes, heads and tails.
To find the probability of both events occurring together, we multiply the individual probabilities:
Probability (Spinner lands on yellow and Coin toss is heads) = Probability (Spinner lands on yellow) * Probability (Coin toss is heads)
= (9/10) * (1/2)
= 9/20
Therefore, nine out of twenty times, the spinner will fall on yellow and the coin will come up heads.
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How do you work out Experimental and Theorical Probability.
pls help,
theoretical probability is based on logic as in:
there's a spinner with five equal sections. There would be a theoretical probability of 20% for each section
Experimental probability is based on results of previous experiments such as:
Damien spun that same spinner 10 times and landed on the red section 3 of ten times
If a hypothesis is not rejected at a 5% level of significance, it _____.
a. will also not be rejected at the 1% level
b. may be rejected or not rejected at the 1% level
c. will always be rejected at the 1% level
d. will sometimes be rejected at the 1% level
Answer:
a. will also not be rejected at the 1% level.
Step-by-step explanation:
A hypothesis is rejected if:
The p-value is larger than the significance level.
Hypothesis is not rejected at a 5% level of significance
This means that the p-value is > 0.05.
At the 1% level:
p-value > 0.01, so it will never be rejected, and thus, the correct answer is given by option a.
Can someone please help it’s due soon
Answer:
1,596cm ^3
Step-by-step explanation:
What is the slope of the line shown?
Answer:
3
Step-by-step explanation:
you go up 3 units and over to the left one unit
3/1 = 3
Use the table to work out the values of
a
,
b
,
c
, and
d
.
x
y
=
3
x
+
2
−
3
a
−
2
−
4
−
1
b
0
2
1
c
2
d
a
=
b
=
c
=
d
=