The most common speed of a car driving through the intersection is 30.0 mph which is indicated by the Mode.
What is the mode of data?A mode of data is defined as an observation with the highest frequency among the values that appear most frequently in the given data.
In the case of ungrouped data, all that is required is to find the observation that happens most frequently.
A traffic radar records the speed of cars driving through an intersection. It records these statistics:
Mean = 36.2 mph
Median = 28.5 mph
Mode = 30.0 mph
As per the question, a car driving through the intersection at 30.0 mph is the most common speed.
This is indicated by the Mode which is the value that appears most frequently in a data set.
Hence, the correct answer would be an option (C).
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A piece of hematite contains 72% iron. If the hematite weighed 160g, how much iron would there be?
Step-by-step explanation:
160g=100%
72%=72/160*100
=45
h(0)=
evaluate the function please!!
Can someone help me with this? It's urgent.
The table is filled as described , shown below.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
Here, we have,
Rate per hour is $11.25
Number of regular hours is 40
Payment for regular hours:
time multiply with payment=
40*$11.25 = $450
Again, we have,
Rate per overtime hour:
$11.25*1.5 = $16.875 ≈ $16.88 (rounded up)
Number of overtime hours:
48.5 - 40 = 8.5
Payment for overtime hours:
$16.88*8.5 = $143.48
Now, we get ,
Gross payment is the sum of regular and overtime payments:
$450 + $143.48 = $593.48
Hence, he would get $593.48
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HELP ME PLEASE RIGHT NOW ASAP
The representation of the set builder notations are:
{y | 22.3 < y ≤ 77.5}: Set of values above 22.3 that do not exceed 77.5{w | w ∈ Z}: Set of all integers{x | x > -1}: Set of values greater than -2{t | t ∈ Q}: Set of all rational numbersHow to determine what the set builder notations representFrom the question, we have the following parameters that can be used in our computation:
The set builder notations
Solving: set builder notation 1
This is given as
{y | 22.3 < y ≤ 77.5}
The less than (<) operator means that the smallest value of y is greater than 22.3 and the operator ≤ means that the highest is 77.5
Solving: set builder notation 2
This is given as
{w | w ∈ Z}
The notation Z means integers
This means that the set w is the set of all integers
Solving: set builder notation 3
This is given as
{x | x > -1}
The greater than (>) operator means that the smallest value of y is greater than -1
Solving: set builder notation 4
This is given as
{t | t ∈ Q}
The notation Q means rational numbers
This means that the set t is the set of all rational numbers
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Round 0.09305085 to the nearest hundredth
Two bulbs flush at regular intervals at 30 and 36 seconds respectively they flush together at 10:45 AM what time will they flush together for the second time
Answer: 10:48 AM
Explanation:
Two bulbs flash at regular intervals of 30 and 36 seconds respectively. LCM of 36 and 30 = 180. 180/60 = 3 minutes. They will flash together every 3 minutes. If they flash together at 10:45, the second time they will flash together will be 10:45 + 3 minutes = 10:48.
Hope this helps!!! :)
if the parent function is y=3×,which is the dunction of the graph?
On solving the provided question, we can say that - the linear equations, is [tex]x =10 / 5 = 2 = > x=2[/tex]
What is a linear equation?The algebraic equation y=mx+b is known as a linear equation. B is the y-intercept, and m is the slope. The previous sentence, where y and x are variables, is commonly referred to as a "linear equation in two variables." Bivariate linear equations are those that contain two variables in them. The linear equations 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3 are examples. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.
Here,
to solve the system of equations given. .
[tex]2x + y = 4 \\+\\3x - y = 6\\= > 5x =10[/tex]
system of equations 2x + y = 4 ,
6=3x-y is 5x =10
The value of x :
[tex]x =10 / 5 = 2\\ x=2[/tex]
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Josephine wrote the numbers 1-100 and placed them in a bag.If she selects a number without looking what is the probability that the number is greater than 78
Convert:
30 quarts
=
bushels
Round to the nearest hundredths.
Answer:
30 quarts= 0.8057 bushels
rounded to the nearest hundredths = 0.81
Someone please help me out
The figures for this problem are not scale drawings, as the ratios between the equivalent side lengths are different.
What is a dilation?A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.
Hence, when a figure is a dilation of another figure, the two figures are scale drawings.
For this problem, the ratio between the bases of the rectangles is given as follows:
12/6 = 2.
The ratio between the height of each rectangle is given as follows:
6/2 = 3.
As the ratios are different, the two figures are not scale drawings of one another.
For them to be scale drawings, it would be needed either a ratio of 2 for the heights or a ratio of 3 for the bases.
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Which figures show shaded
amounts that are equivalent to 1/4
The image that shows the graph equivalent to the fraction 1/4 is option A, because only one part of the 4 available is shaded.
How to identify the correct graph?To identify the correct graph, we must first identify which fraction we must represent. In this case, the fraction is 1 / 4. To understand this fraction, we must take into account that the top number (1) refers to the number of parts that are shaded and the bottom number (4) refers to the number of total parts. into which the figure is divided.
According to the above, we can infer that it is a figure that is divided into 4 parts, and one of them is shaded. So the correct choice would be option A.
Note: This question is incomplete because there is some information missing. Here is the complete information:
image attached
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Round 0.2275 to the nearest hundredth
Answer:
0.23 is the answer
I wish you luck in your assignments.
Geometry need help asap
On solving the provided question, we can say that - here in quadrilateral we have x + 146 + 47 + y = 360 => [tex]x= 83.5[/tex]
what is quadrilateral?A quadrilateral is a four-sided polygon in geometry that has four edges and four corners. The word is a derivative of the Latin words quadri and latus (meaning "side"). Having four sides, four vertices, and four corners, a rectangle is a two-dimensional form. Concave and convex come in primarily two varieties. Additionally, there are several subclasses of convex quadrilaterals, including trapezoids, parallelograms, rectangles, rhombuses, and squares. Four straight sides make up a rectangle, which is a two-dimensional form. There are several different types of quadrilaterals, including parallelograms, trapezoids, rectangles, kites, squares, and rhombuses.
here,
x + 146 + 47 + y = 360
2x + 193 = 360
2x = 167
[tex]x= 83.5[/tex]
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A company employing 10,000 workers offers deluxe medical coverage (D), standard medical coverage (S) and economy medical coverage (E) to its employees. Of the employees, 30% have D, 60% have 5 and 10% have E. From past experience, the probability that an employee with D, will submit no claims during next year is 0.1. The corresponding probabilities for employees with S and E are 0.4 and 0.7 respectively. If an employee is selected at random;
a) What is the probability that the selected employee has standard coverage and will submit no
claim during next year? b) What is the probability that the selected employee will submit no claim during next year?
c) If the selected employee submits no claims during the next year, what is the probability that the employee has standard medical coverage (S)?
please give full answer
To order tickets online to a hockey game
Answer:
I'm not quite sure what the question is here but in order to buy tickets to a hockey game, you can type the hockey team or game into the web browser and select their website then select the time and dates you'd like to see the game
Hope this helps!
Swimming Pool B is also rectangular and has a perimeter of 90m. Its length is 25m. What is the width?
By using the formula for the perimeter, we will get that the width of the pool is 20 meters.
What is the width of the swimming pool?
Remember that for a rectangle of length L and width W, the perimeter is given by the formula:
P = 2*(L + W)
In this case, we know that the perimeter is 90m, and the length is 25m, then we know that:
P = 90m
L = 25m
Replacing that in the formula above we will get:
90m = 2*(25m + W)
now we can solve this for W.
90m/2 = 25m + W
45m - 25m = W
20m = W
The width of the pool is 20 meters.
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The midpoint of \overline{\text{AB}} AB is M(7, -7)M(7,−7). If the coordinates of AA are (8, -6)(8,−6), what are the coordinates of BB?
Using the formula for the midpoint of the line with given points A and B as the end points of the line, the coordinates of the point B is (6,-8).
How do you find the midpoint of a line segment?To find the midpoint of a line segment, you must first find the coordinates of the two endpoints of the segment. Then, take the average of the x-coordinates and the y-coordinates to find the x and y coordinates of the midpoint. This can be done by adding the x-coordinates and y-coordinates of the two endpoints together and then dividing by 2.
What is the formula for finding the midpoint of a line segment?
The formula for finding the midpoint of a line segment is:
Midpoint = ( (x1+x2)/2 , (y1+y2)/2 )
Where (x1,y1) and (x2,y2) are the coordinates of the two endpoints of the line segment.
Using the given coordinates of point A(8,-6) and the midpoint M(7,-7) of the line, and using the midpoint formula for a line AB,
Midpoint(M) = [tex](\frac{x1+x2}{2},\frac{y1+y2}{2} )[/tex]
where x1, y1 are coordinates of point A , and x2, y2 are the coordinates of point B
so , (7,-7) = [tex](\frac{8+x2}{2} , \frac{-6+y2}{2})[/tex]
equating the corresponding points,
7 =(8+x2)/2
therefore, x2 = 6
and , -7 = (-6+y2)/2
therefore , y2 = -8
Hence the coordinates of B is , (x2,y2 ) = (6,-8)
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p.
Sue uses of a pitcher of sweet tea to fill
each of 6 matching glasses. What fraction of
the pitcher does Sue use to fill 1 glass?
Answer:
P. Sue uses 1/6 of the pitcher to fill 1 glass
Step-by-step explanation:
martha has 17 043 943 957 points. 16 000 points equivilates to 50 $ off. How much money does Martha save?
Of course, a businesswoman who is extremely wealthy. Martha has a lot of money thanks to her writing numerous best-selling books, publishing a magazine (shoutout to all the kids from the 1990s whose moms read Martha Stewart Living), appearing on various TV shows, and having her own brand of goods, which includes a CBD line.
How did Martha make her money?Martha Stewart is a lot of things, including a person who built a nativity during her time in jail. Snoop Dogg's close friend. somebody with a large number of peacocks. Martha has a lot of money thanks to her writing numerous best-selling books, publishing a magazine (shoutout to all the kids from the 1990s whose moms read Martha Stewart Living), appearing on various TV shows, and having her own brand of goods, which includes a CBD line She was, in reality, America's first woman billionaire who had achieved success on her own.Now that Martha is no longer a billionaire (more on why in a bit), it is time to analyze her wealth.Celebrity In 1999, Martha Stewart and her business partner Sharon Patrick combined all of their endeavours into Martha Stewart Living Omnimedia (MSLO), which they then listed on the New York Stock Exchange. By the time trading ended, the stock had increased from $18 per share to $38 per share, making Martha practically instantly worth $1 billion.To more Learn about Martha Stewart Refer To:
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What is -6 - t/4 = -1
Answer: t=-20
Step-by-step explanation:
Karen and Kate have 50 CDs between them. Karen has 6 less than kate. How many each has?
Answer:
19
Step-by-step explanation:
Karen and Kate have 50 CDs between them. Karen has 6 less than kate. How many each has?
25&25
If Karen Has 6 Less Then Kate, Karen Would Have 19 CDS
Hope This Helps
Work out
1/8
+
3/4
Give your answer in its simplest form.
Max is designing a hot tub for a local spa. He wants the hot tub to have a diameter of 88 inches, What is the approximate area required for the installation of the hot tub? (Use 3.14 for .)
The area of the hot tub is 6079.04 in²
How to determine the area required for the installation of the hot tub?
To determine the approximate area required for the installation of the hot tub. You can use the area of a circle.
The area of a circle is given by A = πr²
where r is the radius of the circle
Since the hot tub to have a diameter of 88 inches, the radius will be 88/2 = 44 inches. π = 3.14.
Thus, area of the hot tub will be:
Area of hot tub = 3.14 × 44² = 6079.04 in²
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4. Of the three elevations, -2 feet, -12 feet, and
30 feet, which represents the least number?
Which represents the farthest distance from
sea level?
On solving the provided question, we can say that - y proportional to as the cube of s, y = ks3, then 8 = k * 23 => k = 1 then y = 1 * 53 = 125
what is directly proportional?If two numbers are directly proportional, then as one quantity grows by a specific percentage, so does the other quantity by the same percentage. As an illustration, as gas costs rise, the price of food may also increase. If the ratio of two values x to y never changes, then x and y are said to be directly proportional to one another. example: Let's say you spend Rs. 50 on two pens. 4 pens cost 100 rupees each. If the ratio of two numbers, x and y, is greater than 1, then the two values The value of y1 is constant.
Since y proportional to as the cube of s, y = ks3.
8 = k * 23 => k = 1
then y = 1 * 53 = 125
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each day you do homework for m minutes and watch tv for 30 minutes. Which expression can you use to find how many minutes you do both activities.
Answer:
Let y be the expression for the minutes you do both activities.then
y=m+30 is the required expression
1: What number must be multiplied by (5x + 6) to result in the expression 20x + 24?
2: On the first day of a road trip, you drive x miles.
On Day 2, you drive 10 more than twice the miles driven on Day 1.
On Day 3, you drive 100 miles less than Day 1.
Write an expression to represent the miles driven on each day of the road trip, then write a final simplified expression representing the total miles driven in three days.
a) Day 1:
b) Day 2:
c) Day 3:
d) Final simplified expression to represent total miles driven in three days:
e) Look at your expression for c) Day 3: "100 miles less than Day 1." Describe a real-word situation to explain why order matters when writing this expression.
1. The number that must be multiplied by (5x + 6) to result in the expression 20x + 24 is 4.
2. An expression representing the miles driven on each day of the road trip and a final simplified expression of the total drives in three days are as follows:
a) Day 1: x
b) Day 2: 2x + 10
c) Day 3: x - 100
d) Final simplified expression to represent total miles driven in three days: 4x + 10 - 100.
e) A real-world situation in which order matters when writing the expression x - 100 is that the value of x is supposed to be more than the value of 100.
What is a mathematical expression?A mathematical expression is the combination of constants, numbers, mathematical operators, and variables without the equation sign (=).
Literarily, a mathematical expression is like a phrase in the English language because it does not make complete sense without the equation sign.
1) Multiplication:
(20x + 24) ÷ (5x + 6) = 4
Check:
4(5x + 6) = 20x + 24
2) Road Trip Expressions:
Day one driving distance = x miles
Day two driving distance = 2x + 10
Day three driving distance = x - 100
Total distance = x + 2x + 10 + x - 100
= 4x + 10 - 100
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Which step is not necessary when solving this system of equations by graphing?
Identify the point of intersection.
Choose a method to graph the equations.
Determine the shaded area for each line.
Write the solution as an ordered pair.
Not necessary when solving this system of equations by graphing is
to determine the shaded area for each line. The correct option is C.
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
We graph both equations in the same coordinate system in order to visually solve a system of linear equations. The intersection of the two lines is where the system's answer will be found. The point where the two lines join is (-3, -4), which is where this equation system's solution lies.
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19x+4 find the value of x
Answer:
x= -4/19
Step-by-step explanation:
19x+4
19x+4=0
19x= - 4
x= -4/19
The population of a town grows uniformly at the rate of 4% every year. In how many years will the population of the town grow from 15,62,500 to 17,57,600?
Therefore , the solution of the given problem of percentage comes out to be time n = 3 years.
What is percentage?A figure or ratio that is stated as a percentage of 100 is referred to as a percentage in mathematics. However, the percent symbol ("%) is usually used to denote it." The percent amount is flat. When the numerator is 100, percentages are really just fractions. Put the standard form (%) next to a number to show that it is a percentage. For instance, if you correctly respond to 75 out of questions in total on a test, you receive a 75% (75/100).
Here,
Given: 1757600 more people overall
Population as of now: 1562500
According to the issue,
=> 1562500[tex](1 + 4/100 )^{n}[/tex] = 1757600
=> [tex](26/25)^{n}[/tex] = 1757600/ 1562500
=> [tex](26/25)^{n}[/tex]= [tex](26/25)^{3}[/tex]
On comparing,
n=3
Therefore , the solution of the given problem of percentage comes out to be time n = 3 years.
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Which is 70% of 2,000?
A.14
B.70
C.140
D.700
E.1400
Answer:
Option E) 1400
Step-by-step explanation:
Based on the given conditions, formulate: 70‰ x 2000
Convert the percentage to decimals: 0.7 x 2000
Calculate the product or quotient: 1400
Hence , the answer is 1400