Answer:
the inter-quartile range will increase
Step-by-step explanation:
The initial data-set was;
20,32,32,45,50
Adding a new value 78 will have several effects;
The mean of the new set of values will increase since 78 is mostly likely to be an outlier.
The median of the new data set will increase. The median of the old data set is 32 while that of the new data set will be 38.5
The mode is the most frequent observation. Both the new and the old sets of values will have a mode of 32. The mode will therefore remain the same.
The inter-quartile range just like the range will increase
The dot plot below shows the drawing scores of some students:
A number line is shown from 1 to 5 in increments of 1. The horizontal axis label is Score. There is 1 dot above 1, 2 dots above 2, 3 dots above 3, 2 dots above 4, and 1 dot above 5. The title of the line plot is Dance Scores.
Which statement best describes the shape of the data?
It is symmetric and has a peak at 3.
It is symmetric and has a peak at 5.
It is not symmetric and has a peak at 3.
It is not symmetric and has a peak at 5.
Answer:
It is symmetric and has a peak at 3.
Step-by-step explanation:
Symmetric dot plots are shown to be equivalent on both sides. Any symmetric dot plot can be folded in half and each side will be identical. The peak of a dot plot is where the most dots are located.
Answer:
It is symmetric and has a peak at 3.
Step-by-step explanation:
pls rate thx
f and f^-1 are functions
If f(4)=2, then f^-1(2)=?
Step-by-step Answer:
f and f^(-1) are inverses of each other within a specified domain, with the property that
y=f(x) <=> (is equivalent to) f^(-1)(y)=x
since
2=f(4), by the definition of inverse functions, f^(-1)(2) = 4
-4, -2, -2 hope that will help you
Step-by-step explanation:
A ball is thrown from first base to second base and then from second base to home plate. How many feet has the ball been thrown?
A. 90 √2
B. 90 + 90 √2
C. 180 √2
D. 270 √2
Answer:
B. 90 + 90 √2
Step-by-step explanation:
From first base to the second base, it will travel 90 feet.
From the second base to the home plate, it will travel a longer distance. How much? Well, if you look at the layout of the field, you'll see that if you draw a line from second base to the home plate, you'll form two rectangular triangles, one with the 1st base, another one with the 3rd base.
The line from the 2nd base to home plate is the hypotenuse, which we can easily find by:
h²=90² + 90²
h = √(2 * 90²)
h = 90 √2
So, from second base to home plate, the ball has traveled 90 √2
Overall: 90 + 90 √2
What is the answer to this Jayla multiplies 8.0 by 40 and says the product is 8.0000 is Jayla correct?
Answer:
No she is wrong
Step-by-step explanation:
The correct answer is 320
Answer:
No, Jayla just added 4 zeros after the decimal.
Find the maximum/minimum value.
y= -2x2 - 16x - 29
Final answer:
The maximum value of the quadratic function y = -2x^2 - 16x - 29 is 3, occurring at x = -4, found by determining the vertex of the parabola, which opens downwards due to the negative coefficient of the x^2 term.
Explanation:
To find the maximum or minimum value of the quadratic function y = -2x² - 16x - 29, we can utilize the properties of parabolas. Since the coefficient of the x² term is negative, the parabola opens downwards, meaning the vertex will give us the maximum value. The vertex of a parabola given by y = ax² + bx + c is found at the x-coordinate x = -b/(2a). Substituting the values from the given equation:
x = -(-16)/(2*(-2)) = -16/(-4) = -4
Now, we substitute this value back into the original equation to find the y-coordinate of the vertex:
y = -2(-4)² - 16(-4) - 29
y = -2(16) - 64 - 29
y = -32 + 64 - 29
y =3
Therefore, the maximum value of the function is 3, and it occurs at x = -4.
Please answer 19,20,21
19) 38.75 miles
62*.625(aka 5/8) =38.75
20) x = -4 / x = +4
X^2 + 1 = 17 >subtract 1 from both sides.>X^2 = 16. both -4 and +4 squared equal +16.
21)
With 6 pints for 1.92, each pint is worth .32
With 4 pints for 1.26, each pint is worth .315
The smaller bottle has a smaller pint to cost ratio allowing for same item but at a smaller cost. If the 4 pints are bought, one saves a total of .02.
Which of the following are exterior angles? Check all that apply.
The correct answers are: C. Angle 4 F. Angle 6 In mathematics, exterior angles are formed outside between any side of a shape and a line extended from the next side.
The correct answer is option C and F.
In a triangle, the sum of the measures of the interior angles is always 180 degrees. Since angles 5, 3, and 1 are interior angles, their sum is 180 degrees.
The sum of the measures of the exterior angles of a triangle is always 360 degrees. Therefore, the sum of exterior angles 4, 6, and 2 is also 360 degrees.
Now, to determine the individual measures of the exterior angles, we know that the sum of the measures of the linear pairs (an exterior angle and its adjacent interior angle) is 180 degrees.
Therefore, angle 4 is an exterior angle since it forms a linear pair with angle 1.
Similarly, angle 6 is an exterior angle since it forms a linear pair with angle 3.
Angle 2 is not an exterior angle since it does not form a linear pair with any other angle in the given triangle.
So, the correct answers are:
C. Angle 4
F. Angle 6
Learn more about Exterior angles here:
https://brainly.com/question/2406986
#SPJ3
George sold 18, 22, 26, 12, 25, 20, and 19 cars per month over the past seven months. He followed the steps below to
determine the number of cars he needs to sell in the next month to have a mean number of sales per month of 24
Step 1: Find the total cars needed to have a mean of 24: 24 x 7 = 168
Step 2. Find the total cars sold: 18+22+26+ 12+25+20+ 19 = 142
Step 3: Subtract the total cars sold from the total cars needed: 168 - 142 = 26
Step 4: State the answer: George needs to sell 26 cars next month.
Where did George make his first mistake?
Answer:
George made the first mistake by multiplying by 7 instead of 8
Step-by-step explanation:
The total cars needed to have a mean of 24:
24 x 8 = 192
Total cars sold during the seven months:
18 + 22 + 26 + 12 + 25 + 20 + 19 = 142
Subtract the total cars sold from the total cars needed:
192 - 142 = 50
George needs to sell 50 cars in the eight month in order to have an average of 24 cars sold per month.
Answer:
Step 1
Step-by-step explanation:
on edg
What is the probability of you picking an odd number from 75 to 100?
Step-by-step explanation:
Odd numbers are any numbers that end with 1, 3, 5, 7, 9.
Out of the numbers inbetween 75 & 100, the odd numbers are:
75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99,
which makes 13.
Set the amount of numbers you got over the total amount.
13/27
You have a 13/27, or 48.15% chance of picking an odd number.
~
work out the hcf of 600 and 128
The answer is 8
You work out all the factors for both 600 and 128 and they are :
600 -1,600,2,300,3,200,4,150,5,120,6,100,8,75,10,60,12,50,15,40,20,30,24 and 25
128-1,128,2,64,4,32,8 and 16
And you see what is the highest common factor which is 8
11. Find three consecutive odd integers such that their sum decreased by
the second equals 50.
The numbers you are looking for are 23, 25, and 27. Let's start by defining a variable. Let x be the first of the three odd numbers. Since odd numbers are 2 apart, that means that the other two numbers are x + 2 and x + 4.
Now, their sum is x + (x + 2) + (x + 4) which equals 3x + 6.
Decrease that by the second number, x + 2. That means: 3x + 6 - (x + 2), which is equal to 2x + 4.
So now we know that 2x + 4 = 50, and we can solve that easily:
2x + 4 = 50
2x = 46
x = 23
Therefore, the three odd numbers are 23, 25, and 27. Hope this helps! Please mark Brainliest. Thank you v much! :)
The answer to the problem is the three consecutive odd integers 23, 25, and 27.
Explanation:Let's solve the problem step by step. We are looking for three consecutive odd integers. A useful way to express consecutive odd integers algebraically is as x, x+2, and x+4, where x is any odd integer.
The problem states that the sum of these integers minus the second one equals 50. This provides the equation: x + (x+2) + (x+4) - (x+2) = 50. Simplifying this equation, we get 2x + 4 = 50. We can further simplify to find that x = 23.
So, the three consecutive odd integers are 23, 25, and 27.
Learn more about Consecutive Odd Integers here:https://brainly.com/question/32448319
#SPJ11
40 points | Sierra and Alek each have five cousins. Their ages are listed below.
Sierra’s cousins: 2, 11, 12, 13, 15
Alek’s cousins: 9, 11, 11, 12, 13
Which of the following statements is true?
A.For both sets of data, the median is equal to the mean.
B.The ages of Sierra's cousins are more spread out than those of Alek's cousins.
C.The mean age of Sierra's cousins is greater than that of Alek's cousins.
D.There are no outliers.
Find the mean for both:
Sierra: 2 + 11 + 12 + 13 + 15 = 53
53/5 =10.6
Median is the middle value = 12
Alek: 9 + 11 + 11 + 12 + 13 = 56
56/5 = 11.2
Median = 11
A: The medians do not equal the mean.
B: Sierra's are more spread out, ( no identical ages and a greater range ).
C: Sierra's mean is less than Alek.
D. Sierra has an outlier (2).
The answer would be B
Which of the following is the solution to 3/x + 2/(x+1) = 3/5x?
-11/6
-6/11
11/6
6/11
Answer:
3/x + 2/(x+1) = 3/5x
[3 · 5(x + 1) + 2 · 5x] / 5x(x + 1) = 3(x + 1) / 5x(x + 1)
3 · 5(x + 1) + 2 · 5x = 3(x + 1)
15x + 15 + 10x = 3x + 3
15x + 10x - 3x = -15 + 3
22x = -12
x = -12/22 = -6/11
In the formula I=P·r·t, what does P stand for? a. Percent: the interest rate expressed as a percentage b. Principal: the amount of money you initially invested c. Period: how often the interest is calculated d. Payout: how much money you end up with
Answer:
B) Principal: the amount of money you initially invested
Step-by-step explanation:
The given formula I=P·r·t is of Interest
In this formula
I is simple interest
r is the interest rate
t is the amount of time
P is the principle amount invested on which interest is calculated
hence of the given options, option b is correct i.e.
Principal: the amount of money you initially invested !
Answer: Option 'b' is correct.
Step-by-step explanation:
Since we have given that
[tex]I=\dfrac{P\times R\times T}{100}[/tex]
Here, I stands for Simple interest
R stands for rate of interest
T stands for time period
P stands for the principal amount i.e. the amount of money you initially invested.
Hence, Option 'b' is correct.
Harold has 4 cups of trail mix. He wants to give 1/3 cup trail mix to each camper in his group.There are 8 campers in his group. Does he have enough trail mix for all the campers?Explain.
A tree company charges a delivery fee for each tree purchased in addition to the cost of the tree. The delivery fee decreases as the number of trees purchased increases. The table below represents the total cost of x trees purchased, including delivery fees.
Which best describes why the function is nonlinear?
The rate of change between 1 and 2 trees is different than the rate of change between 2 and 3 trees.
The rate of change between 1 and 2 trees is different than the rate of change between 1 and 3 trees.
The rate of change between 2 and 3 trees is different than the rate of change between 3 and 4 trees.
The rate of change between 2 and 3 trees is different than the rate of change between 3 and 5 trees.
The correct option is d) The rate of change between 2 and 3 trees is different than the rate of change between 3 and 5 trees.
Step-by-step explanation:
Given :
Number of tree purchased Total Cost ($)
1 60
2 120
3 180
4 240
5 290
Solution :
For a linear function rate of change is constant.
Now, between 2 and 3 trees rate of change is given by
[tex]=\dfrac{180-120}{3-2}=60[/tex]
Now, between 3 and 5 trees rate of change is given by
[tex]=\dfrac{290-180}{5-3}=55[/tex]
It is clearly seen that the rate of change is not constant. Therefore, the function is non-linear.
Therefore, the correct option is d) The rate of change between 2 and 3 trees is different than the rate of change between 3 and 5 trees.
For more information, refer the link given below
https://brainly.com/question/11897796?referrer=searchResults
Step-by-step explanation:
Given information:
Number of tree purchased and total cost:
No. Cost($)
1 60
2 120
3 180
4 240
5 290
The rate of change between 2 and 3 is given by
[tex]=\frac{180-120}{3-2}=60[/tex]
Now, between 3 and 5 the change is given by:
[tex]=\frac{290-180}{5-3} =55[/tex]
From the above information one can conclude that the change is not constant and hence the function is not linear.
Hence, The correct option is: The rate of change between 2 and 3 is different than the rate of change between 3 and 5 trees.
For more information visit:
https://brainly.com/question/16003297?referrer=searchResults
The diameter of a circular tablecloth is 72 inches. Find the area and circumference. Use 3.14 as an approximation for pi.
Please show work
Answer:
Part 1) The area is [tex]A=4,069.44\ in^{2}[/tex]
Part 2) The circumference is [tex]C=226.08\ in[/tex]
Step-by-step explanation:
step 1
Find the area
we know that
The area of a circle (circular tablecloth) is equal to
[tex]A=\pi r^{2}[/tex]
we have
[tex]r=72/2=36\ in[/tex] ------> the radius is half the diameter
[tex]\pi =3.14[/tex]
substitute
[tex]A=(3.14)(36)^{2}[/tex]
[tex]A=4,069.44\ in^{2}[/tex]
step 2
Find the circumference
we know that
The circumference of a circle (circular tablecloth) is equal to
[tex]C=\pi D[/tex]
we have
[tex]D=72\ in[/tex]
[tex]\pi =3.14[/tex]
substitute
[tex]C=(3.14)(72)[/tex]
[tex]C=226.08\ in[/tex]
The mean height of plants is 18 inches. The height of seven plants are 12 inches, 13 inches, 15 inches, 15 inches, 17 inches, 23 inches, and 24 inches. Find the height of the eighth plant.
Answer:
25 inches
Step-by-step explanation:
i first started with 18×8=144 then i did 144-119 and got 25.
y=5x Identify the dependent and independent variables.
Independent is x. Dependent is y
Answer:
Independent : x
Dependent: y
Step-by-step explanation:
y= 5x
The independent variable is the variable we change
Independent : x
The dependent variable depends on the value of the other variable
Dependent: y
What percent is equivalent to 3/10? 0.3% 3% 10% 30%
Answer:
30%
Step-by-step explanation:
3/4n-18=1/4n-4 can someone answer this please
Answer:
n = 28
Step-by-step explanation:
3/4n - 18 = 1/4n - 4 (eliminate fractions by multiplying each value by 4)
(3/4n * 4) - (18 * 4) = (1/4n * 4) - (4 * 4)
3n - 72 = 1n - 16 (move values with variable to same side)
3n - 1n - 72 = 1n - 1n -16
2n - 72 = -16 (move numeric values to same side)
2n - 72 + 72 = -16 + 72
2n = 56 (isolate n by dividing out the 2)
2n/2 = 56/2
n = 28
determine the missing side lenght of a right triangle when given a=14 and b=7
Answer:
√245 or 15.65247...
Step-by-step explanation:
a² + b² = c²
14² + 7² = c²
196 + 49 = c²
245 = c²
√245 ≈ c
When you have a right triangle, you can use the Pythagorean Theorem to find the missing side length. (but it only works for RIGHT triangles)
Pythagorean Theorem:
a² + b² = c² Since you know a=14 and b=7, plug it into the equation
(14)² + (7)² = c²
196 + 49 = c²
245 = c²
√245 = c or 15.6524758425 = c
The playlist consists of 21 songs by The Working Mamas, 12 songs by Chef Mo Cheese, 36 songs by the Snippers, 54 by Lucy and The Jungle Cats, and 27 by Nuestra Paradise. If her playlist randomly shuffles through each song, what is the probability of The Working Mamas being played? Write the answer as a percent.
Answer:
14%
Step-by-step explanation:
Answer:
The answer is 14%
Step-by-step explanation:
Lines kand n are perpendicular. If the slope of line k is -6, what is the slope of
line n?
Answer:
B
Step-by-step explanation:
The slope would be 1/6
3. The results of the primary election are shown. (a) Order the popularity of the choices from greatest to least. (b) It was estimated that 280 people were going to vote. If this was true, how many people would have voted for Goron? Show your work. (c) 40 people voted for “Other.” Was the estimate of total voters from Part (b) accurate? Explain.
The answers for the given questions are:
(a) Order of popularity: Goron, Zora, Hylian,Gerudo, Other.
(b) Number of people voting for Goron: 89
(c) The estimate was not accurate.
(a) The popularity of the choices from greatest to least is:
1. Goron
2. Zora
3. Hylian
4. Gerudo
5. Other
(b) To find out how many people would have voted for Goron if 280 people voted in total, we first need to determine the proportion of votes Goron received in the primary election.
Total votes cast in the primary election = Sum of votes for all choices
= Goron + Zora + Hylian + Gerudo + Other
= 100 + 75 + 60 + 40 + 40
= 315 votes
Proportion of votes for Goron = (Votes for Goron / Total votes cast) * 100%
= (100 / 315) * 100%
≈ 31.75%
Now, to find out how many people would have voted for Goron out of the estimated 280 people:
Number of people voting for Goron = (Proportion of votes for Goron / 100%) * Estimated total voters
= (31.75 / 100) * 280
≈ 89 people
(c) The estimate of total voters from Part (b) was not accurate. The estimate was based on the assumption that all choices would receive votes in the same proportion as they did in the primary election. However, in reality, the number of votes for "Other" was higher than expected, indicating that the actual total number of voters might be higher than the estimated 280. Therefore, the estimate was not accurate.
Complete question:
The results of the primary election are shown. (a) Order the popularity of the choices from greatest to least. (b) It was estimated that 280 people were going to vote. If this was true, how many people would have voted for Goron? Show your work. (c) 40 people voted for “Other.” Was the estimate of total voters from Part (b) accurate? Explain.
solve the equation for t.
1/2 t +8 = 5/2 t - 10
Simplif 1/2t to t/2
t/2 + 8 = 5/2t - 10
Simplify 5/2t to 5t/2
t/2 + 8 = 5t/2 - 10
Multiply both sides by 2
t + 16 = 5t - 20
Subtract t from both sides
16 = 5t - 20 - t
Simplify 5t - 20 - t to 4t - 20
16 = 4t - 20
Add 20 to both sides
16 + 20 = 4t
Simplify 16 + 20 to 36
36 = 4t
Divide both sides by 4
36/4 = t
Simplify 36/4 to 9
9 = t
Switch sides
t = 9
Answer:
t = 9.
Step-by-step explanation:
1/2 t + 8 = 5/2 t - 10
- 8 -5/2 t
1/2 t - 5/2 t = -10 - 8
-2t = -18
t = 9.
What are the coordinates of point B?
A. (1.3)
B. ( 3.1)
C.(-3.1)
D.(1.-3
B is the correct answer
a fair die is tossed four times. Find the probability of obtaining each of the following. 5 on all four tosses
Answer:
[tex]\dfrac{1}{1296}[/tex]
Step-by-step explanation:
When a fair die is tossed once, there are 6 possible outcomes: 1, 2, 3, 4, 5, 6.
The probability of rolling 5 is [tex]\dfrac{1}{6}.[/tex]
When a fair die is tossed four times, the probability of rolling 5 all four times is
[tex]\dfrac{1}{6}\cdot \dfrac{1}{6}\cdot \dfrac{1}{6}\cdot \dfrac{1}{6}=\dfrac{1}{6^4}= \dfrac{1}{1296}[/tex]
............................................................h............................................................help............................................................
Answer:
D (136 -2a) + (3a+39) = 180
Step-by-step explanation:
Since XQR = 180
<XQM + < MQR = XQR
136 -2a + (3a+39) = 180
What is the measure of
60°
50°
65°
70°
Answer:
∠G = 50°
Step-by-step explanation:
The measure of the angle between the 2 tangents is
[tex]\frac{1}{2}[/tex] ( major arc - minor arc )
minor arc HF = 130° and major arc HF = 360° - 130° = 230°
Hence
∠G = 0.5(230° - 130°) = 0.5 × 100° = 50°