Answer:
A discrete variable is a variable that can only take some selected given values from a given set, like x ∈ {x₁, x₂, ..., xₙ}
While a continuous variable can take any value in the range, like x ∈ {x₁, xₙ}.
1) The weight of bags of apples, with 10 apples in each bag.
Here the weight depends on the number of apples in the bag, and we can have only whole numbers of apples in the bag, so this is clearly a discrete variable.
2) The number of times required for a modem to dial an internet provider before connecting.
Same as before, here we can have only a whole number of attempts, so this set is discrete.
3) Out of 10 times connecting to an internet provider, the average number of attempts necessary before connecting.
Here we will have an average of 10 integer numbers:
[tex]M = \frac{x_1 + x_2 + ... + x_{10}}{10}[/tex]
so here we have a kinda dense set of possible values, so we can think of this as a continuous variable.
4) A pair of dice is rolled, and the sum to appear on the dice is recorded.
Here the possible values are whole numbers again, so we can not have values like 3.5, so again, this is a discrete variable.
Fill in the missing number to make these fractions equivalent 15/25 = ?/5
Answer:
3
Step-by-step explanation:
25 divided by 5 is 5
therefor 15 divided by 5 is 3
15/25 = 3/5
Answer:
3
Step-by-step explanation:
[tex]\frac{15}{25} =\frac{?\\}{5}[/tex] 25 divided by ? = 5? The number 5 so divide 15 as well
15 ÷ 5 = 3
[tex]\frac{15}{25} =\frac{3}{5}[/tex]
Hence, 3 is the answer
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What is the surface area and volume of the sphere shown below?
Your response should show all necessary calculations and diagrams.
Answer:
ur mom
Step-by-step explanation:
doin doin
Choose each number that shows 4% as an equivalent fraction, decimal, or percent. Select all that apply.
Answer:
1/4
Step-by-step explanation:
4 divide in half so should be 1/4
Melinda is selling her paintings. The graph depicits the profit she makes given the selling price of the paintings. What is the approximate average rate of change in profit per dollar selling price, when the selling price yields $0 profit to a selling price that yield the maximum profit
Answer:
The average rate of change is 28.57
Step-by-step explanation:
Given
See attachment for graph
Required
The average rate of change from 0 to maximum profit
At 0, we have:
[tex](x_1,y_1) = (32,0)[/tex]
At maximum, we have:
[tex](x_2,y_2) = (60,800)\\\\[/tex]
The average rate of change (m) is calculatd as:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
So, we have:
[tex]m = \frac{800 - 0}{60 - 32}[/tex]
[tex]m = \frac{800}{28}[/tex]
[tex]m = 28.57[/tex] --- approximated
In a blind ESP test, a person correctly identifies whether a tossed coin comes
up heads or tails in 63 trials out of 200. Using the normal approximation
(without the continuity correction), which of the following would you use to
calculate the probability of correctly identifying 63 or more?
Answer:
C
Step-by-step explanation:
the probability of the outcome being greater than 63 is x≥63
Mention any two similarities between rectangle and square.
Simplify: -8x +7-5-5x + 5x
A
- 8x + 2
B
-18x+12
-x-5
D
-X+12
Answer:
A) -8x+2
Step-by-step explanation:
-8x + 7 - 5 - 5x + 5x
-8x -5x + 5x + 7 - 5
- 8x+2
If (3y-9)^2+7=43, then what is(are the values of y?
Answer:
y = 1 and y = 5
Step-by-step explanation:
[tex]( 3 y -9)^2 + 7 = 43\\\\((3y)^2 + (-9)^2 + 2(3y)(-9)) = 43 - 7\\\\(9y^2 + 81 -54y) = 36\\\\9y^2 -54y + 81 -36 = 0\\\\9y^2 -54y + 45 = 0\\\\9(y^2 -6y + 5) = 0\\\\y^2 - 6y + 5 = 0\\\\y^2 - 5y - y + 5 = 0\\\\y(y - 5) -1(y - 5 ) = 0 \\\\( y - 1 )( y - 5) = 0\\\\y = 1 \ , \ y = 5[/tex]
The values of y in the equation (3y-9)^2+7 = 43 are 1 and 5
How to solve for y?The equation is given as:
(3y-9)^2+7 = 43
Subtract 7 from both sides of the equation
(3y - 9)^2 = 36
Take the square root of both sides
3y - 9 = ±6
Add 9 to both sides
3y = 9 ± 6
Divide through by 3
y = 3 ± 2
Expand
y = (3 - 2 or 3 + 2)
Evaluate
y = 1 or 5
Hence, the values of y are 1 and 5
Read more about quadratic equations at:
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A salesperson at DHL Department Store earns $415 per hour and is paid biweekly. FOr the last pay cycle, a sales rep earned 5% commission on sales amounting to $89,500. Calculate their basic wage if they worked for 40 hours each week. please help me, Thanks
Answer:
=$21075
Step-by-step explanation:
Given data
Earnings =$415 per hour
Commission =5%
Sales =$89500
Time =40 hours
Let us find the commission
5/100*89500
0.05*89500
=4475
Let us find the amount earned in 40 hours
40*415
=16600
Total
=16600+4475
=21075
What conclusion can be determined from the dot plot below? A dot plot showing two dots above 6, 7, 8, 9 and 10 each. (3 points) a The number of observations is 5. b The median of the data set is 5. c The mean of the data set is 8. d The range of the data set is 8.
Answer:
C. The mean of the data set is 8.
Step-by-step explanation:
From the dot plot we can make a frequency table as follows:
Number of books read Frequency
6 2
7 2
8 2
9 2
10 2
Since, the number of dots are 10 or then sum of the frequencies is 10.
Hence, the number of observations are 10.
Also, the median of the set is: 8
Now, the mean is calculated as:
Hence, Mean of the data set is: 8
Now, the range of the data set is the difference between the minimum and the maximum value.
Hence, range=10-6=4
The range of the data set is 4.
Answer:
c
Step-by-step explanation:
Plz send the Venn diagram of this...
Answer:
Step-by-step explanation:
sorry im not sure
PLS HELP ASAP! FIND THE VOLUME OF X.
Answer:
Step-by-step explanation:
5x + 150 = 180
5x = 30
x = 6
Hope this help!!!
Have a nice day!!!
Consumer complaints are frequently reported to the Better Business Bureau. Industries with the most complaints to the Better Business Bureau are often banks, cable and satellite television companies, collection agencies, cellular phone providers, and new car dealerships. Consider the results for a sample of 200 complaints.
Required:
Construct frequency and relative frequency tables showing complaints by industry.
Answer:
[tex]\begin{array}{ccc}{Industry} & {Frequency} & {RF}& {Bank} & {26} & {13\%}& {Cable} & {44} &{22\%} & {Car} & {42} & {21\%} &{Cell} & {60} & {30\%} & {Collection} & {28} & {14\%} &{Total} & {200} & {100\%}\ \end{array}[/tex]
Step-by-step explanation:
Given
[tex]n =200[/tex]
[tex]Bank = 26; Cable = 44; Car = 42; Cell = 60; Collection = 28[/tex]
Required
The frequency relative frequency table
The frequency table is as follows:
[tex]\begin{array}{cc}{Industry} & {Frequency} & {Bank} & {26} & {Cable} & {44} & {Car} & {42} & {Cell} & {60} & {Collection} & {28} & {Total} & {200} \ \end{array}[/tex]
Relative frequency (RF) is calculated using:'
[tex]RF = \frac{Frequency}{Total} * 100\%[/tex]
So, we have:
[tex]Bank = \frac{26}{200} * 100\% = 13\%[/tex]
[tex]Cable = \frac{44}{200} * 100\% = 22\%[/tex]
[tex]Car = \frac{42}{200} * 100\% = 21\%[/tex]
[tex]Cell = \frac{60}{200} * 100\% = 30\%[/tex]
[tex]Collection = \frac{28}{200} * 100\% = 14\%[/tex]
So, we have:
[tex]\begin{array}{ccc}{Industry} & {Frequency} & {RF}& {Bank} & {26} & {13\%}& {Cable} & {44} &{22\%} & {Car} & {42} & {21\%} &{Cell} & {60} & {30\%} & {Collection} & {28} & {14\%} &{Total} & {200} & {100\%}\ \end{array}[/tex]
Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.
5
60°
10
x
Not drawn to scale
Answer:
D
5 sq.rt. 3
Step-by-step explanation:
use the pythagorean theorem: a^2 + b^2 =c^2
5^2 + x^2 = 10^2
25+ x^2 =100
x^2 = 100 - 25
x^2 =75
x = [tex]\sqrt{75}[/tex]
x = 5 [tex]\sqrt{3}[/tex]
jabu invests R5600 for one year at 8% interest. calculate the value of hus investment by the end of the year
Answer:
Hope you find it helpful
A rectangle is 1 1/2 length and 4 1/4 width what is the area of rectangle
The numbers are a whole and a fraction that’s why there is a space
Answer:
6 3/8 units
Step-by-step explanation:
1 1/2* 4 1/4= 6 3/8
To prove ABC= ADC, To prove which triangle postulate could you use?
SSS
SAS
ASA
AAS
Answer:
ASA
Step-by-step explanation:
..................
To prove ABC = ADC, We use ASA triangle postulate.
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
The similarity of triangles on the other hand is when the corresponding angles are equal but the corresponding sides are not equal but they have the same common ratio.
From the given diagram a quadrilateral ABCD is given,
Line segment AC divides quadrilateral ABCD into two triangles namely
ABC and ADC, and both have a common side AC.
m∠BAC ≅ m∠DAC and m∠BCA ≅ m∠DAC.
Therefore, Triangle ABC and ADC are congruent by ASA, with two angles and a side included between them.
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A grocery store manager notices that this month her store sold a total of 521 gallons of ice cream, which represents a decrease of 10% from last month. On the other hand, her store sold 791 pounds of broccoli this month, which represents an increase of 25% from last month. How much ice cream and broccoli did the store sell last month? Round your answers to the nearest integer.
Answer:
Last month the grocery store sold 578.88 gallons of ice cream and 632.8 pounds of broccoli.
Step-by-step explanation:
Since a grocery store manager notices that this month her store sold a total of 521 gallons of ice cream, which represents a decrease of 10% from last month, and on the other hand, her store sold 791 pounds of broccoli this month, which It represents an increase of 25% from last month, to determine how much ice cream and broccoli did the store sell last month, the following calculation must be performed:
Ice cream = 100 - 10 = 90
90 = 521
100 = X
100 x 521/90 = X
52,100 / 90 = X
578.88 = X
Broccoli = 100 + 25 = 125
125 = 791
100 = X
100 x 791/125 = X
79,100 / 125 = X
632.8 = X
Therefore, last month the grocery store sold 578.88 gallons of ice cream and 632.8 pounds of broccoli.
If P = (-4,-3) and Q = (2, 1) are the
endpoints of the diameter of a circle,
find the equation of the circle.
(x - [?])2 + (y - [ ])2 = [
]
Answer:
[tex](x+1)^2 + (y + 1)^2 = 13[/tex]
Step-by-step explanation:
To find the centre of the circle, find the mid - point of PQ :
[tex]Centre =( \frac{x_1+x_2}{2} \ , \ \frac{y_1 + y_2}{2}) = (\frac{-2}{2} \ , \ \frac{-2}{2}) = (-1, -1)[/tex]
Diameter = 2 x Radius , To Find the diameter, find distance between P and Q:
[tex]Distance , PQ = \sqrt{(2 - (-4))^2 + (1 -(-3))^2}[/tex]
[tex]= \sqrt{6^2 + 4^2} = \sqrt{36+ 16} = \sqrt{52} = \sqrt{4 \times 13} = 2 \times \sqrt{13}[/tex]
PQ is the diameter , therefore radius :
[tex]r = \frac{1}{2} \times 2 \sqrt{13} = \sqrt{13}[/tex]
Equation of a circle :
[tex](x + 1)^2 + (y + 1)^2 = 13[/tex]
Answer:
(x - 1)2 + (y - 1)2 = 13
Step-by-step explanation:
This is the answer for Acellus users
If a equals B andB equals C which statement must be true?
Answer:
A=B=C... wouldn't both B and C be equal to A? Also I can't see the statements.
Find f(0) if f (x) = log base 10 of 10 + 9^x + (x - 2)(x - 1)
Answer:
Step-by-step explanation:
2% of 200 restaurant reviews were negative. How many reviews were negative?
Answer:
4
Step-by-step explanation:
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What is the value of k in the linear pair below?
A straight line. A line comes out of the line to form angles 104 degrees and k.
A. 14 degrees
B. 76 degrees
C. 104 degrees
D. 180 degrees
Factor 9x2+24x+16
Enter your answer in the boxes.
9x2+24x+16= ( answer here )2
Answer:
(3x + 4)^2
Step-by-step explanation:
9x^2 + 24x + 16
Let's use middle term break method to factor this polynomial.
In Quadratic Factorization using Splitting of Middle Term which is x term is the sum of two factors and product equal to last term. Factor each pair by finding common factors.
we nee two number which give 144 wh3n multiplied and 24 when added.So, 12 and 12 is the number because 12*12=144 and 12+12=24.
9x^2 + (12+12)x +16
9x^2 +12x +12x +16
take common
3x(3x + 4) +4(3x +4)
take (3x + 4) as common
(3x +4)(3x*1 +4*1)
(3x +4)(3x +4)
(3x +4)^2
Answer:
2 (17+12x)
Step-by-step explanation:
See image below:)
Can you help and do it step by step
Answer:
$4800
Step-by-step explanation:
SI=PRT DIVIDED BY 100..
So it is going to be 400×2×6 divided by 100 which will be 4800
How many inches is the circumference of this circle?
Type in your answer WITH NO LABEL, JUST THE NUMBER.
Answer:
Diameter(line going across the circle that you've given) = 6 in
Radius(half of diameter) = 3 in
Circumference(the perimeter of the circle) = 18.85 in
Area = 28.27^2
Step-by-step explanation:
In order to find the circumference, you will need to first find the radius(which is always half the size of the diameter which in this case is 3 in). You will then need to do this formula: 2 x 3.14 x 3 which equals to 18.85.
Answer:
The circumference of a circle is about 18.85 inches.
Step-by-step explanation:
The radius is always half of the diameter, and the diameter is 6 inches.
6 divided by 2 is 3, so the radius of this circle is 3 inches.
The formula for circumference of a circle is :
C = 2πr = 2 · π · 3 ≈ 18.84956
The circumference of a circle is about 18.85 inches.
1. For each of 200 randomly selected cities, Gary recorded the number of churches
in the city (x) and the number of homicides in the past decade (y). He calculated
the linear correlation coefficient and was surprised to find a strong positive linear
correlation for the two variables. Does this suggest that building new churches
causes an increase in the number of homicides? Why do you think that a strong
positive linear correlation coefficient was obtained? Explain your answer with
reference to the term lurking variable.
Answer:
Kindly check explanation
Step-by-step explanation:
When certain variables are examined, there seems to be a sort of spurious relatuoshipnornassocuation between the two variables, this is evident in the relationship between churches and the number of homicide, when a strong positive correlation is observed between number of churches and number of homicides, this relationship is most likely to be due to the effect of a lurking or third variable which creeped into our analysis, a factor which has a posithe correlation on both number of churches and homicide level, Number of homicide and number of churches could have been correlated by the lncreasing population which may lead to overcrowding and competition Hence increasing rate of homicide, similarly, with high rise in population, the growth of church to accommodate the populees will also creep in.
Use trigonometric identities to verify each expression is equal. sin(x)/1-cos(x)-cot(x)=csc(x)
Answer:
See Below.
Step-by-step explanation:
We want to verify the identity:
[tex]\displaystyle \frac{\sin x}{1 - \cos x} - \cot x = \csc x[/tex]
We can multiply the fraction by 1 + cos(x):
[tex]\displaystyle \frac{\sin x(1+\cos x)}{(1 - \cos x)(1+\cos x)} - \cot x = \csc x[/tex]
Difference of Two Squares:
[tex]\displaystyle \frac{\sin x(1+\cos x)}{1-\cos^2 x} - \cot x = \csc x[/tex]
From the Pythagorean Theorem, we know that sin²(x) + cos²(x) = 1. Rearranging, we acquire that sin²(x) = 1 - cos²(x). Substitute:
[tex]\displaystyle \frac{\sin x(1+\cos x)}{\sin^2 x} - \cot x = \csc x[/tex]
Cancel:
[tex]\displaystyle \frac{ 1 + \cos x}{\sin x}-\cot x = \csc x[/tex]
Let cot(x) = cos(x) / sin(x):
[tex]\displaystyle \frac{ 1 + \cos x}{\sin x}-\frac{\cos x}{\sin x} = \csc x[/tex]
Combine Fractions:
[tex]\displaystyle \frac{ 1 + \cos x - \cos x}{\sin x}= \csc x[/tex]
Thus:
[tex]\displaystyle \frac{1}{\sin x}=\csc x = \csc x[/tex]
Hence proven.
use the diagram below to find all missing angles
Answer:
Step-by-step explanation:
Soooo, angle 1 is 157 degrees
That means:
Angle 2 is 23 degrees Supplementary Angles
Angle 3 is 157 degrees Vertical Angle to Angle 1
Angle 4 is 23 degrees Vertical angle to Angle 2
Answers:
angle 2 = 23 degreesangle 3 = 157 degreesangle 4 = 23 degrees=======================================================
Explanation:
Angles 1 and 2 are supplementary as they form a straight line. So the angles add to 180
(angle1)+(angle2) = 180
angle2 = 180-(angle1)
angle2 = 180-157
angle2 = 23 degrees
Angle 4 is congruent to this because angles 2 and 4 are vertical angles. Vertical angles are always congruent. Note how angles 1 and 4 are supplementary.
Since angles 1 and 3 are the other pair of vertical angles, this must mean angle 3 is 157 degrees.
the ratio of A:B is 3:4, the ratio of C:D is 1:2, the ratio of B:C is 2:5 What is the ratio of A:D?
The answer is attached. I hope this helps answer your question!
