Median for the number of sick days of the employees is 5
Define Quartile?
A statistical phrase that splits the data into four quarters is called a quartile. On the number line, it essentially separates the data points into a data set into four quarters. It essentially serves as an extended middle. Data is divided into two equal parts by the median, and into four parts by the quartiles.
Solution:
Stem and leaf plot from Minitab of the number of sick days of the employees is,
2, 3, 3, 5, 7, 10, 10, 7, 5, 3, 2
Arrange the numbers in the ascending order,
2, 2, 3, 3 ,3, 5, 5, 7, 7, 10, 10
Here,
[tex]number\;of\;data=10[/tex]
We know that the Quartile 2 is spilt the data in to two like median,
[tex]Q_{2}=(\frac{n+1}{2}) ^{th\;term}[/tex]
[tex]Q_{2}=(\frac{11+1}{2}) ^{th\;term}[/tex]
[tex]Q_{2}=(\frac{12}{2}) ^{th\;term}[/tex]
[tex]Q_{2}=6 ^{th\;term}[/tex]
Therefore, the 6th term is, 5
Median = 5
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5 x 10^2 as a standard notation
Answer:500
Step-by-step explanation:
Solve for b.
2²376.
b+5=20-b
b=
Answer: b=7.5
Step-by-step explanation:
b+5=20-b
b+b+5=20-b+b ==> add b on both sides to put b on only one side of the equation
2b+5=20
2b=15
b=7.5
A sporting goods factory puts 500 playground balls in each shipment. How many playground balls will there be in 5 shipments?
Answer:
100
Step-by-step explanation:
A satellite flies 114550 miles in 22.91 hours. how many miles has it flown in 6.97 hours?
If a satellite flies 114550 miles in 22.91 hours, then it will flies 34850 miles in 6.97 hours
Given,
The total distance flies by the satellite = 114550 miles
Time taken = 22.91 hours
Speed of the satellite = Distance / Time taken
[tex]\frac{114550}{22.91} =5000[/tex] miles per hour
The total distance flown by the satellite in 6.97 hours
Distance = Speed × Time
= 5000×6.97
=34850 miles
Hence, if a satellite flies 114550 miles in 22.91 hours, then it will fly 34850 miles in 6.97 hours
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Відповідь: 1)
5. Розв'яжіть систему рівнянь способом підстановки
2)
3y = 10,
5х + y = 2.
-
Answer:
Step-by-step explanation:
x - 3y = 10
5x + y = 2
x - 3y = 10
15x + 3y = 6
16x = 16
x = 1
5 + y = 2
y = -3
(1, -3)
A square floor has a side length of 7x^5y^6 units Square tile has a side length of x^2y units. how many tiles will it take to cover the floor
49x⁶y¹⁰ tiles are required to cover the floor;
Side length of the square floor = 7x⁵y⁶;
Side length of the square tile = x²y;
Area of the given floor is = (7x⁵y⁶)² sq units
= 7²x¹⁰y¹² sq units
= 49x¹⁰y¹² sq units.
Area of a tile is = (x²y)² sq units
= x⁴y² sq units.
Let no. of tiles required be 'n';
Area of square floor = (No. of square tiles) × (Area of 1 square tile);
49x¹⁰y¹² = n × x⁴y²;
n = 49x⁶y¹⁰;
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2x-y + 2z = -6
-3y +z = -2
2x-3z=4
Enter your answer, in the form (z, y, z), in the boxes in simplest terms
{x, y, z} = { -16/13, -10/13, -28/13}.
HELP PLEASE!
Anything helps
Answer:
1. Distributive property
2. Reflexive property
3. Multiplication property of equality
4. Transitive property of equality
5. Addition property of equality
6. Substitution property
Step-by-step explanation:
solve the equation -2 = k+7/3
Answer:
k=-13
Step-by-step explanation:
-2 = k+7/3
Multiply 3 to both sides.
-2 = k+7/3
-6=k+7
Subtract 7 from both sides.
-13=k
k equal -13.
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Answer:
k= −13/3Step-by-step explanation:
−2=k+7/3
Flip the equation:≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
k+7/3=−2
Subtract 7/3 from both sides:k+7/3−7/3 = −2−7/3
k= −13/3
There are 17 biscuits in a packet.
There are 24 packets of biscuits in a box.
How many biscuits are there in a box in total
Answer:
408 buiscuits
Step-by-step explanation:
it easy you will just multiply 17(no of buiscuits) × 24(packets of buiscuits)
total = 17×24
total = 408 buiscuits in a box
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The equation the quantity 2x minus 20 divided by 3 = 2x models temperature change, where x represents the difference in degrees in the last 24 hours. solve for x.
The value of x for given equation (2x - 20) /3 = 2x is x = -5
For given question,
we have been given an equation 2x minus 20 divided by 3 = 2x
i.e., (2x - 20) /3 = 2x
This equation models temperature change, where x represents the difference in degrees in the last 24 hours.
We need to solve given equation for x.
(2x - 20) /3 = 2x
(2x - 20) = 3(2x) ...........(Multiply by 3 on both sides)
2x - 20 + 20 = 6x + 20 ...........(Add 20 to both sides)
2x - 6x = 6x + 20 - 6x ..........(Subtract 6x from both sides)
-4x = 20
x = -5 ..........(Divide by - 4 on both sides)
Therefore, the value of x for given equation (2x - 20) /3 = 2x is x = -5
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The end points of ab are A (-7,3) and B (1,0) find the coordinates of the midpoint M
Answer:
(-3,3/2)
Step-by-step explanation:
It's easy just add the abscissa and ordinate individually and divide the obtained abscissa and ordinate by 2
8 + 3 4 ÷ -2 3 = what?
-10
By BODMAS Method
8 + 3*4 ÷ -2*3
8 + 3* [tex]\frac{4}{-2}[/tex] *3
8 + 3*-2*3
8 +(-18)
-10
The order of operations (BODMAS) in mathematics and computer programming refers to a set of rules that represent standards for which operations to carry out first in order to evaluate a specific mathematical expression.
For instance, since the advent of contemporary algebraic notation, multiplication has been given a higher priority than addition in mathematics and most computer languages.
As a result, 1 + (2 × 3) = 7, rather than (1 + 2) × 3 = 9. is the value assigned to the expression 1 + 2 × 3. BODMAS was first used in the 16th and 17th centuries when addition and multiplication were given priority. BODMAS could only is used as a superscript to the right of their base.
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If the ladder slipped so that the foot was 2 m from the wall, how far down the wall did the ladder slip?
Answer:
e foot
Step-by-step explanation:
Answer:
How far down the wall did
the ladder
Step-by-step explanation:
Brandon works at the waterpark on the weekends. Last Saturday, he worked 7 11/12 hours. On Sunday, he worked 84% of the hours he worked on Saturday. How many total hours did he work last weekend?
If Brandon works at the waterpark on the weekends. Last Saturday, he worked 7 11/12 hours. On Sunday, he worked 84% of the hours he worked on Saturday, The total hours that he would have to work on the weekend is 6.65 hours
How to solve for the number of hoursThe total numbers of hours that was worked can be solved by
7 11/12 hours * 84%
= 95 / 12 * 84 / 100
= 7980 /1200
= 6.65
Therefore we can say that if Brandon works at the waterpark on the weekends. Last Saturday, he worked 7 11/12 hours. On Sunday, he worked 84% of the hours he worked on Saturday, The total hours that he would have to work on the weekend is 6.65 hours
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Answer:
6 hours and 39 minutes is the correct answer.
Step-by-step explanation:
So, set up your problem...
STEP 1: 84% out of 100%, or 84/100
STEP 2: 7 11/12 is a mixed number, so to make solving easier, make it an improper fraction: 95/12
- 7 11/12
- 7 × 12 = 84 + 11 = 95
- Keep the denominator (12)
- 95/12 is now an improper fraction.
STEP 3: Multiply 95/12 × 84/100 = 6.65
STEP 4: Convert to hours...
- Note that 6.65 hours and 6:65 is not the same. 6.65 hours with the decimal point is 6.65 hours in terms of hours. 6:65 with the colon is 6 hours and 65 minutes.
- Start by dividing up what is before and after the decimal point. 6 = hours, .65 = fractional hours
- To convert from 6.65 decimal hours to hours and minutes, we need to convert the .65 fractional hours to minutes.
- Since there are 60 minutes in an hour, you multiply the .65 fractional hours by 60 to get minutes. .65 × 60 = 39 minutes.
So, in conclusion, the correct answer to your question is... 6 hours and 39 minutes.
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according to statistics, a person will devote years to sleeping and watching tv. the number of years sleeping will exceed the number of years watching tv by . over the lifetime, how many years will the person spend on each of these activities?
27 years are spent sleeping; 8 years are spent watching television.
What are examples of linear equations?
The typical form for linear equations with two variables is Ax+By=C. For instance, the linear equation 2x+3y=5 is in standard form. Finding both intercepts of an equation in this style is quite easy (x and y). This form is also very useful when attempting to solve structures involving linear equations.Let n constitute the quantity of years looking TV.
Then sleeping equals n+19. So:
n+n+19=35
2n=16
n=8
8 years are spent watching TV; 27 years are spent sleeping.
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Which of the following is true for f?
Looking at the options, the only one that is true of the function f(x) over the given intervals is; The domain is; -9 < x ≤ -2, -2 < x ≤ 1 and 1 < x < 7
What is the correct domain and range?
We are given the function;
f(x) = {3x - 1, if -9 < x ≤ -2
{-5, if -2 < x ≤ 1
{x - 6, if 1 < x < 7
Now, the domain of a function is defined as the set of all possible input values that make the function to exist. Meanwhile, the range of a function is the set of all possible output values that make the function to exist.
Looking at the given intervals and combining them all, we can tell that the domain is as follows; -9 < x ≤ -2, -2 < x ≤ 1 and 1 < x < 7
Now, the range for 3x - 1 is;
3(-9) - 1 = -28 and 3(-2) - 1 = -7
Range is greater than -28 and less than or equal to -7
Range of x - 6 will be greater than -5 and less than 1
Looking at the options, the only one that is true of the function f(x) over the given intervals is; The domain is; -9 < x ≤ -2, -2 < x ≤ 1 and 1 < x < 7
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Question 5
▼ <
>
A company makes a profit when it brings in more money than it pays out. The company only has enough
resources to make 8500 items in a quarter. Suppose a company's revenue in a quarter (the amount brought
in) can be modeled by R 195x, and its costs per quarter (the amount paid out) can be modeled by
C 160x+18000, where a is the number of items sold. How many items must be sold for the
-
=
company to make a profit?
The number of items that must be sold for the company to make a profit is 757.
Calulation of number of items sold:
R = 195x
C = 160x + 18000
Here R means the revenue
And, C means the cost
Now
We know that
Profit = R - C
Profit = Revenue - cost
=195x - (160x + 18000)
= 195x - 160x - 18000
= 35x -18000
Now solve the above equation
So,
35x - 18000 = 8500
x=757
Therefore,
x = 757
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What postulate proves triangle congruence?
*
25 points
Captionless Image
AAS
SAS
SSS
ASA
The postulate that proves that the triangles are congruent is: SAS congruence postulate.
How to Apply the Side-angle-side Congruence Postulate (SAS)?The SAS congruence postulate states that when two triangles have a pair of included congruent angles, and two pairs of corresponding sides that are congruent, then both triangles are congruent.
In the triangles given, we have:
Two pairs of corresponding sides that are congruent - BL ≅ PF and BG ≅ PX
A pair of included congruent angles - <B ≅ <P.
This means both triangles are congruent by SAS.
Therefore, the postulate that proves that the triangles are congruent is: SAS congruence postulate.
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If the rectangle below has an area of 32 sq. units, what is the area of the
triangle?
OA. 16 sq. units
B. 24 sq. units
OC. 32 sq. units
OD. 12 sq. units
DA
8
4
8
4
If the area of the rectangle (as shown below in the reference.jpeg attached hereby for reference) is 32 sq. units, then the area of the triangle shown besides the rectangle will be 16 sq. units.
As per the question statement, area of a rectangle (as shown below in the reference.jpeg attached hereby for reference) having a length of 8 units and width of 4 units is 32.
We are required to calculate the area of the triangle (shown beside the above-mentioned rectangle in the reference.jpeg attached hereby).
From the diagram, it is clear that that base of the triangle is 4 units and since it is a right-angled triangle, it's altitude or height is 8 units.
Now the formula to calculate the area of a triangle (A) having base "b" and height "h", goes as [tex]A=(\frac{1}{2}*b*h)[/tex]
Inserting the values of our concerned triangle in the above mentioned formula, we get, Area = [tex](\frac{1}{2}*4*8)=(\frac{4*8}{2})=\frac{32}{2}=16[/tex].
Rectangle: A rectangle is a 4-sided closed polygon (quadrilateral), having 4 right angles, and two pairs of equal and parallel opposite sides.Triangle: This is a 3-sided closed polygon.To learn more about rectangles and triangles, click on the link below.
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What is the distance between (-3, 6) and (5, 2)
The distance between (-3, 6) and (5, 2) is 4√5 by using the distance formula.
Distance between two points in x y plane by distance formula is:
= √{(x₁ - x₂)² + (y₁ - y₂)²}
Substituting the values of the points:
= √{( -3 - 5 )² + ( 6 - 2 )²}
Solving it further:
= √{( -8 )² + ( 4 )²}
= √{ 64 + 16 }
= √80
= √(2× 2 × 2 × 2 ×5 )
= 2×2× √5
= 4√5
So, the distance between (-3, 6) and (5, 2) is 4√5 by using the distance formula.
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Given the rule what is the new coordinate?
the image (new coordinate) after the translation is (-2.5, 9.8)
How to find the new coordinate by using the given rule?
Here we have a rule (also called a transformation or an operator) that works as:
T(x, y) = (x - 7.5, y + 6.8)
So we decrease the x-value by 7.5 and increase the y-value by 6.8. This is a translation of 7.5 units to the left and 6.8 units upwards.
Now, our point is (5, 3), if we apply that transformation we will get:
T(5, 3) = (5 - 7.5, 3 + 6.8) = (-2.5, 9.8)
That is the image after the translation.
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HELP URGENT!! the data set for a random sample of 10 soccer players heights compared to their shoe sizes is summarized in the table.
questions included in the photo.
Part A: The equation of least squares regression line is
ŷ = 0.4684X + 64.69888
Part B: The residual that we have here is - 1.382
Part C: Residual refers to the difference between the observed value and the predicted value
How to solve for the residualSum of X = 102.5
Sum of Y = 695
Mean X = 10.25
Mean Y = 69.5
Sum of squares (SSX) = 33.625
Sum of products (SP) = 15.75
Regression Equation = ŷ = bX + a
b = SP/SSX = 15.75/33.63 = 0.4684
a = MY - bMX = 69.5 - (0.47*10.25) = 64.69888
ŷ = 0.4684X + 64.69888
Residual = observed - predicted
The observed = 68
The predicted = 0.4684 x 10 + 64.69888
= 4.684 + 64.69888
= 69.382
residual = 68 - 69.382
= -1.38
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he graph represents the heights of two climbers on a climbing wall over a 12-minute time period.
A graph where the horizontal axis shows time (minutes), numbered 1 to 12, and the vertical axis shows height (feet) numbered 2 to 24. The line labeled Brynn's climb begins at 0 feet in 0 minutes, to 15 feet from 5 to 7 minutes, to 0 feet in 10 minutes. The line labeled Abby's climb begins at 4 feet in 0 minutes, to 14 feet from 4 to 6 minutes, to 22 feet in 8 minutes, to 0 feet in 12 minutes.
How high did Abby climb above her original starting position?
8 feet
15 feet
18 feet
22 feet
What is the value of BC.
Answer:
BC = 13
Step-by-step explanation:
x + 10 + x + 14 = 22
2x + 24 = 22
2x = -2
x = -1
BC = x + 14 = -1 + 14 = 13
Question
What is the value of x in this figure?
Enter your answer in the box.
x =
Answer:
360° = 131° + 110° + 107° + 108°
360° = 456° + x
.: x = -96°
At the Georgia Aquarium, 60% of the visitors were from Georgia. If there were 192 people from Georgia, how many people were at the aquarium?
If 192 is 60%, then 10% would be 32.
Then you can multiply both sides by ten.
This would get you: 100% would be 320 people.
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If Isabelle went on a slide that was 100 feet long with a ladder to the
top measuring 35 feet, how far is the bottom of the slide to the bottom
of the ladder? Round to the nearest foot.
93.7 feet is the distance from the bottom of the slide to the bottom of the ladder.
Let us consider the distance from the bottom of the ladder to the bottom of the slide "x" (the unknown we want to find).
The ladder's length is 35 feet, and the slide's length is 100 feet.
According to the Pythagorean theorem:
c² = a² + b²
where c is the hypotenuse (the ladder's length), and a and b are the two other sides of the right-angled triangle (the distances we want to find).
In this case, the equation becomes:
35²= x² + 100²
Solving for x:
1225 = x² + 10000
x² = 10000 - 1225
x² = 8775
Taking the square root of both sides to find "x":
x = √8775
x = 93.7 feet
So, the distance from the bottom of the slide to the bottom of the ladder is 93.7 feet.
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Perform the indicated computation and express the answer in decimal notation.
(4x10 to the power of 4) (2x10 to the power of 3) =
The indicated computation of (4 x 10^4) (2 x 10^3) in decimal notation is 80000000
How to perform the indicated computation and express the answer in decimal notation?The expression is given as
(4x10 to the power of 4) (2x10 to the power of 3) =
Rewrite properly, as:
(4 x 10^4) (2 x 10^3) =
Evaluate the product of 4 and 2
So, we have
(4 x 10^4) (2 x 10^3) = 8 x 10^4 x 10^3
Evaluate the product of 10^4 and 10^3 using the law of indices
So, we have
(4 x 10^4) (2 x 10^3) = 8 x 10^7
Evaluate the product of 8 and 10^7
So, we have
(4 x 10^4) (2 x 10^3) = 80000000
Hence, the indicated computation of (4 x 10^4) (2 x 10^3) in decimal notation is 80000000
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8 divided by 1 4/5 write the quotient in lowest terms
According to the given statement;
Quotient in lowest terms for 8 divided by 1 4/5 is 4.4444444
what is fraction?A numerical value that designates a portion of a whole is used to represent fractions. A fraction is a component or section taken from a whole, which can be any number, a certain amount, or an object. Let's use an illustration to better comprehend this idea. The pizza in the following image has been sliced into 8 equally sized pieces. Now, if we wish to refer to a single portion of the pizza, we can do so by using the notation 1/8, which indicates that we are talking about one portion out of 8 equally sized portions.
According to the given values;
8 : 1( 4/5) = 40/9
= 4 4/9
≅ 4.4444444
Hence, Quotient in lowest terms for 8 divided by 1 4/5 is 4.4444444.
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