Which lists the steps in the correct order to find the median of this data set? 24, 16, 23, 30, 18, 29 1. Put the numbers in order. 2. Cross off high/low pairs. 3. Add the leftover numbers. 4. Divide the sum by 2. 1. Put the numbers in order. 2. Cross of high/low pairs. 1. Cross off high/low pairs. 2. Add the leftover numbers. 3. Divide the sum by 2. 1. Cross of high/low pairs.
To find the median of an even-numbered data set, arrange the numbers in order, identify the two middle numbers, add them, and divide by two. The median for the given data set is 23.5.
To find the median of the data set (24, 16, 23, 30, 18, 29), follow these steps:
Put the numbers in order from smallest to largest.If the data set has an even number of values (like this one with 6 numbers), identify the two middle numbers.Add the two middle numbers together.Divide the sum by 2 to find the median.Applying these steps to the provided data set:
Order: 16, 18, 23, 24, 29, 30Middle numbers: 23 and 24Sum of middle numbers: 23 + 24 = 47Median: 47 / 2 = 23.5The correct median of this data set is 23.5.
How to find the inverse of h(x) = 3/ -x - 2 List steps.
The equation 9t = 27.99 models a constant rate situation. Drag and drop the value of 5t in the box. 5t = 3.11 15.55 18.99 36.99
What are the coordinates of the vertex of the graph of f(x)=2|x−3| ? Enter your answer in the boxes.
The vertex of the given function is [tex](3,0)[/tex].
Given:
The given function is [tex]f(x)=2|x-3|[/tex].
To find:
The coordinates of the vertex of the graph of [tex]f(x)[/tex].
Explanation:
The vertex form of an absolute function is:
[tex]f(x)=a|x-h|+k[/tex] ...(i)
Where, [tex]a[/tex] is a constant and [tex](h,k)[/tex] is the vertex.
We have,
[tex]f(x)=2|x-3|[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]h=3[/tex]
[tex]k=0[/tex]
Therefore, the vertex of the given function is [tex](3,0)[/tex].
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round 0.785 to the nearest hundredth.
A single ball is drawn from an urn containing 6 balls numbered 1 through 6. Find the probability that the ball choosen is as follows.
An even-numbered ball or an odd-numbered ball
Final answer:
The probability of drawing an even-numbered ball or an odd-numbered ball from the urn is 1.
Explanation:
To find the probability of drawing an even-numbered ball or an odd-numbered ball from an urn containing 6 balls numbered 1 through 6, we need to determine the total number of favorable outcomes and divide it by the total number of possible outcomes.
The total number of possible outcomes is 6, as there are 6 balls in the urn.
The favorable outcomes are the even-numbered balls (2, 4, 6) and the odd-numbered balls (1, 3, 5), which is a total of 6 balls.
Therefore, the probability of drawing an even-numbered ball or an odd-numbered ball is 6/6, which simplifies to 1.
James bought 12 cookies and ate 3 of them. He ate ____% of the cookies.
a class donated $3.5 in nickels and dimes. In all there were 45 coins. how many were there of each
Kelly drives 448 miles on the highway to visit her xousin. She uses cruise control to drive at a constant speed . Kelly travels 192 miles in the first 3 hours. At that rate, how long will the trip take?
192 miles divided by 3 hours = 64 miles per hour
448 miles / 64 miles per hour = 7 hours total for the trip
Answer:
Trip will take 7 hours to complete.
Step-by-step explanation:
Kelly drives 192 miles in the first 3 hours.
Speed of Kelly to cover 192 miles = [tex]\frac{\text{Distance}}{\text{Time}}[/tex]
= [tex]\frac{192}{3}[/tex]
= 64 miles per hour
Kelly travels with the same speed to cover the whole distance.
Therefore, time taken to cover 448 miles = [tex]\frac{\text{Distance}}{\text{Speed}}[/tex]
= [tex]\frac{448}{64}[/tex]
= 7 hours
Kelly will meet his cousin after 7 hours.
What conclusion can be made based on this division problem?
24 ÷ 4 = 6
Twenty-four is 2 times greater than 6.
Twenty-four is 6 times greater than 4.
Six is 2 times greater than 4.
Six is 24 times greater than 4.
Answer:
Twenty-four is 6 times greater than 4.
Step-by-step explanation:
Here, the given expression,
[tex]24\div 4=6[/tex]
That is,
[tex]\frac{24}{4}=\frac{6}{1}[/tex]
By cross multiplication,
[tex]24=6\times 4[/tex]
⇒ 24 = 6 times of 4
Hence, by the given expression it is clear that twenty-four is 6 times greater than 4.
SECOND OPTION is correct.
Deepak spent 178$ on food last month if he reduces by 15% the next month how much will he spend
Ollie used 276 bricks to make 6 fence columns. He used an equal number of bricks to make each column. How many bricks did he use to make each column?
Answer: The answer is 46!
Step-by-step explanation:
Find the z-scores that bound the middle 74% of the area under the standard normal curve.
The P values, the z-scores are approximately: z score (left) = -2.22 and z score (right) = 1.13.
We are given that;
The area middle= 74%
Now,
We need to find the z-scores that bound the middle 74% of the area under the standard normal curve.
Since 74% of the middle area is bounded, this means that there is 13% on the left side and another 13% on the right side.
P (left) = 0.13 and P (right) = 1 - 0.13 = 0.87. At these P values, the z-scores are approximately: z score (left) = -2.22 and z score (right) = 1.13
Therefore, by statistics the answer will be -2.22 and 1.13.
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The z-scores that bound the middle 74% of the area under the standard normal curve are approximately -1.04 and 1.04.
Explanation:To find the z-scores that bound the middle 74% of the area under the standard normal curve, we need to find the z-scores that bound 13% on each tail of the curve (100% - 74% = 26%, divided by 2). Using the z-table, we can find the z-scores for these tail areas:
The z-score for the lower tail area of 13% is approximately -1.04The z-score for the upper tail area of 13% is approximately 1.04Therefore, the z-scores that bound the middle 74% of the area under the standard normal curve are -1.04 and 1.04.
A gym charges a $20 sign-up fee plus $25 per month. You have a $120 gift card for the gym. When does the total spent on your gym membership exceed the amount of your gift card?
When does the total spent on your gym membership exceed the amount of your gift card is After 4 months
Given:
Sign-up fee = $20
Monthly fee = $25
Gift card = $120
Now let determine when does the total spent on gym membership exceed the amount gift card
Let x represent the number of months
Hence:
20 + 25x = 120
25x= 120-20
25x= 100
x=100/25
x=4
Inconclusion When does the total spent on your gym membership exceed the amount of your gift card is After 4 months.
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what is 150% of 128 ??
A closed rectangular box has volume 32 cm3 . what are the lengths of the edges giving the minimum surface area?
The lengths of the edges of a rectangular box with a volume of 32 cm³ that would give the minimum surface area would all be equal, and that would be the cubic root of the volume, which is approximately 3.17 cm.
Explanation:The subject is Mathematics, specifically dealing with optimization of geometric shapes. This problem is related to the minimization of the surface area of a closed rectangular box given a fixed volume.
Given that the volume of a rectangular box, or a cuboid, is V = lwh where l is length, w is width, h is height. We know the volume is 32 cm³, we have the equation lwh = 32.
To minimize the surface area, we should make the box as close to a cube as possible because a cube has the smallest surface area for a given volume. So, to minimize the surface area, the lengths of the edges should all be equal, i.e., l = w = h.
Hence, the box that has the minimum surface area is a cube with edge length of the cubic root of the volume, which is ∛32 cm = approximately 3.17 cm.
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In the Numbers Game, a state lottery, four numbers are drawn with replacement from an urn containing balls numbered 0-9, inclusive. Find the probability that a ticket holder has the indicated winning ticket.
The first two digits in exact order.
Final answer:
The probability of winning the indicated ticket in the Numbers Game is 1/100 or 0.01.
Explanation:
To find the probability of winning the indicated ticket in the Numbers Game, we will calculate the probability of the first two digits in exact order.
There are 10 numbers (0-9) to choose from in each digit, and since replacement is allowed, the probability of choosing the correct first number is 1/10. Similarly, the probability of choosing the correct second number is also 1/10.
Since the two selections are independent, we can multiply the probabilities together to find the probability of both selections being correct. Therefore, the probability of winning the indicated ticket is (1/10) * (1/10) = 1/100 or 0.01.
What is the GCF of 100xyz and 25xz
A birthday celebration meal is $46.40 including tax,but not the tip.Find the total cost if a 15% tip is added to the cost of the meal.
Tran planned a rectangular pool and made a scale drawing using centimeters as the unit of measurement. He originally planned for the length of the pool to be 40 m but decided to change it to 32 m. If the length of the pool in his scale drawing is 8 cm, which statement about the change of scale is true?
When Tran changes the actual length of the pool but keeps the scale drawing the same, the scale changes too. The original scale was 1 cm:5 m and the new scale is 1 cm:4 m.
Explanation:The question is about understanding the change in scale in a scale model. Tran's original scale was 8 cm (in the drawing) to 40 m (actual pool length), i.e., a ratio of 1 cm : 5 m. When he changes the length of the pool from 40 m to 32 m but keeps the drawing the same, the new scale becomes 1 cm: 4 m, since 8 cm (in the drawing) now corresponds to 32 m (actual pool length). Thus, the scale has been reduced proportionately.
Scale models and their measurements are an important concept in mathematics, particularly in understanding dimensions and ratios. In this scenario, the ratio of the drawing to the actual length of the pool changes when the dimensions of the pool change, but the drawing stays the same.
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what is 437284237940 divided by 2 - 2 times 1 -3 +42 divided by 7989
Latrell is packing boxes that can contain two types of items. Board games weigh 3 pounds and remote controlled cars weigh 1.5 pounds. The box can hold no more than 25 pounds.
Let x represent the number of board games. Let y represent the number of remote controlled cars.
Enter an inequality that represents the situation.
Use implicit differentiation to find the points where the circle defined by x^2+y^2−6x−4y=-4 has horizontal and vertical tangent lines. List your answers as points in the form (a,b).
If m and n are integers is 6m^2+34n-18 an even integer?
For any integers m and n, [tex]\(6m^2 + 34n - 18\)[/tex] is always even Integer . One solution is [tex]\(m = 1, n = 2\)[/tex].
To determine if the expression [tex]\(6m^2 + 34n - 18\)[/tex] is an even integer for any integers m and n, let's analyze the terms.
The expression can be factored as [tex]\(2(3m^2 + 17n - 9)\).[/tex] Since 2 is a factor of the expression, it implies that the entire expression is even. Therefore, for any integers m and n, [tex]\(6m^2 + 34n - 18\)[/tex] is an even integer.
Now, to find possible values for m and n that satisfy the condition, consider that [tex]\(3m^2 + 17n - 9\)[/tex] must be an integer. We can choose arbitrary values for m and n and verify that [tex]\(3m^2 + 17n - 9\)[/tex]is an integer. For example, let m = 1 and n = 2:
[tex]\[3(1)^2 + 17(2) - 9 = 3 + 34 - 9 = 28\][/tex]
Since 28 is an integer, m = 1 and n = 2 are valid solutions.
conclusion, any integers m and n will make [tex]\(6m^2 + 34n - 18\)[/tex]an even integer. One such solution is m = 1 and n = 2, and there are infinitely many other possible pairs of integers that satisfy this condition.
Which of the following slopes show that the set of points C(1, 1), D(3, -4), E(5, 8) are not collinear?
Answer:
C (-1, 1/2, -3/5) is INCORRECT and I know it isn’t (1/3, -5/3, -2/5)...... but I’m pretty sure the answer is 1/2, 3, 5
Step-by-step explanation:
Two parallel lines are crossed by a transversal. What is the value of g? g = 75 g = 80 g = 100 g = 105
we know that
If the lines u and w are parallel
then
∠g=[tex]105\°[/tex] ------> by alternate exterior angle
therefore
the answer is
∠g=[tex]105\°[/tex]
which expression is represented by the model below?
Answer:
The answer is B 4x3
Dan paid 34.30 for a sweater. The price included a 40% markup.
A line passes through the points (2, –2) and (–6, 2). The point (a, –4) is also on the line. What is the value of a? mc023-1.jpg
Answer:
[tex]a=6[/tex]
Step-by-step explanation:
We have been given coordinates of three points on the same line and we are asked to find the value of 'a'.
First of all, we will find the equation of the line in slope-intercept form of equation [tex]y=mx+b[/tex].
Let us find slope of our given line using coordinates of point [tex](2,-2)[/tex] and [tex](-6,2)[/tex].
Upon substituting the coordinates of the given points in slope formula we will get,
[tex]m=\frac{2--2}{-6-2}[/tex]
[tex]m=\frac{2+2}{-8}[/tex]
[tex]m=\frac{4}{-8}[/tex]
[tex]m=-\frac{1}{2}[/tex]
Now, we will substitute [tex]m=-\frac{1}{2}[/tex] and coordinates of point [tex](2,-2)[/tex] in slope-intercept form of equation to find the y-intercept.
[tex]-2=-\frac{1}{2}*2+b[/tex]
[tex]-2=-1+b[/tex]
[tex]-2+1=-1+1+b[/tex]
[tex]-1=b[/tex]
Therefore, the equation of line passing through the given points is [tex]y=-\frac{1}{2}x-1[/tex].
To find the value of 'a' we will substitute coordinates of point [tex](a,-4)[/tex] in our equation as:
[tex]-4=-\frac{1}{2}*a-1[/tex]
[tex]-4+1=-\frac{1}{2}*a-1+1[/tex]
[tex]-3=-\frac{1}{2}*a[/tex]
Upon multiplying both sides of our equation by -2, we will get
[tex]-3*-2=-\frac{1}{2}*a*-2[/tex]
[tex]6=a[/tex]
Therefore, the value of a is 6.
Answer:
A = 6
Step-by-step explanation:
I think this is late but i got this right hope this helps :D
A pizza shop charges $9.50 for a pizza, plus $1.90 for each topping.
If the total charge for a pizza is dependent on the base price of the pizza plus the number of toppings ordered, what is the value of y at the y-intercept of the line representing this situation?
The value of y at the y-intercept for the given situation, representing the cost of a pizza without any toppings, is $9.50.
The value of y at the y-intercept represents the cost of a pizza without any toppings. When we graph the cost of the pizza as a function of the number of toppings, the y-intercept occurs when the number of toppings is zero (meaning no toppings were added).
Since the pizza shop charges $9.50 for a pizza without toppings, this is the value of y at the y-intercept. We can represent this relationship with a linear equation y = mx + b, where m is the slope (the cost per topping) and b is the y-intercept (the base price of the pizza). In this case, m is $1.90 and b is $9.50, so the equation would be y = 1.90x + 9.50. Therefore, the y-intercept is $9.50.