(a) Miguel had the greatest spread in training times.
(b) The middle 50% of Adam's training times had the least spread.
(a) To find the greatest spread in training times, we need to calculate the range of each person's training times. Range is the difference between the maximum and minimum values. Comparing the ranges, we can say that Miguel had the greatest spread in training times since his range is the largest.
(b) The middle 50% of the training times refers to the interquartile range (IQR), which is the difference between the third quartile (Q3) and the first quartile (Q1).
To find the least spread in the middle 50% of the training times, we need to compare the IQRs of each person. Adam's IQR is the smallest, which means the middle 50% of his training times had the least spread.
(c) The answers to parts (a) and (b) indicate that Miguel had a wider range of training times compared to Adam. However, Adam's middle 50% of training times had the least spread. This suggests that while Miguel's overall training times varied more, Adam's training times were more consistent within the middle range.
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(Giving LOTS OF POINTS!!!) What is the discriminant of the following equation: x^2 − 2x + 2 = 0 Options: -8 -4 -12 12
Answer:
12
Step-by-step explanation:
1. 6x+y=-5
Slope:____
y-intercept:____
2. 6x+5y=15
Slope:____
y-intercept:______
\(6x+y=-5\implies y=\stackrel{\stackrel{m}{\downarrow }}{-6} x\underset{\stackrel{\uparrow }{b}}{-5}\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill\)
\(6x+5y=15\implies 5y=-6x+15\implies y = \cfrac{-6x+15}{5} \\\\\\ y = -\cfrac{6x}{5}+\cfrac{15}{5}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{6}{5}} x\underset{\stackrel{\uparrow }{b}}{+3}\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)
Jane works as a tutor for $14 an hour and as a waitress for $11 an hour. This month, she worked a combined total of 93 hours at her two jobs.
Answer:
3t + 1,023
Step-by-step explanation:
The computation is shown below:
As a tutor it is $14 per hour
As a waitress it is $11 per hour
Total number of hours worked is 93
Now let us assume the number of hours worked as a tutor is t
So as a waiter is 93 - t
Now the equation is
= $14(t) + $11(93 - t)
= 14t + 1,023 - 11t
= 3t + 1,023
Find the measures of <1 and <2 if <3 = 78^0 and <4 = 102^0.
Assume the lines are parallel.
Figure is not drawn to scale.
Angle 78 102 12
<1
<2
Answer:
my acc just got yeeted by a penguin pfp
Step-by-step explanation:
Answer:
oops look in commments
Step-by-step explanation:
A sequence is defined by the equations
a1=6 and an=2a n−1
. What is the fifth term in the sequence?
Answer:
a(5) = 96
Step-by-step explanation:
Please use this notation: a(1) = 6 and a(n) = 2a(n - 1).
In other words, each new term is twice the previous term.
Therefore, a(2) = 2a(1) = 2(6) = 12, and
a(3) = 2(12) = 24, and
a(4) = 48, and, finally,
a(5) = 96
Fifth term of the given sequence is equals to 96.
What is sequence?
" A sequence is defined as the arrangement of the given numbers or the object in such a way it represents some pattern or a mathematical rule."
According to the question,
Given,
First term of the sequence a1 = 6
Nth term of the sequence an = 2a(n - 1)
Substitute the different values of 'n' in the given sequence we get,
n = 2
a2 = 2a(2-1)
= 2a1
= 2 × 6
= 12
n= 3
a3 = 2a(3-1)
= 2a2
= 2 ×1 2
= 24
n= 4
a4 = 2a(4 - 1)
= 2a3
= 2 × 24
= 48
Fifth term of the given sequence
n = 5
a5 = 2a(5 - 1)
= 2a4
= 2 × 48
= 96
Hence, fifth term of the given sequence is equals to 96.
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A grocer bought 4 crates of lettuce and 3 crates of cabbage. Later he bought 2 crates of lettuce and 5 crates of cabbage. His first bill was $34. 20 and his second bill was $31. 80. Find the cost for each crate of lettuce and each crate of cabbage
Answer:
Step-by-step explanation:
C.P. of sugar = Rs. 4500
C.P. of
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pls help i need -3x+20+-10
Answer:
-3x + 10
Step-by-step explanation:
you add like terms of 20 and negative 10 to simplify to -3x +10
Find the equation of the line.
Use exact numbers.
�
=
y=y, equals
�
+
x+x, plus
A coordinate plane. The x- and y-axes each scale by one. A graph of a line goes through the points zero, negative two and four, one.
y = 2x + 4 is the equation of the line that connects the coordinates (0, 4) and (1, 6).
The points that the line passes through are (0, 4) and (1, 6). The equation of a line can be found by using the point-slope form:
y - y1 = m(x - x1)
where m is the slope of the line, and (x1, y1) is one of the line's points.
Then, we may determine the line's slope:
\(m = \frac{(y2 - y1)}{(x2 - x1)}\)
where (x1, y1) = (0, 4) and (x2, y2) = (1, 6)
\(m = (6 - 4) / (1 - 0) = 2\)
Now we can use the point-slope form with one of the points, say (0, 4):
y - 4 = 2(x - 0)
Simplifying, we get:
y - 4 = 2x
Adding x to both sides, we get:
y = 2x + 4
So the equation of the line that passes through the points (0, 4) and (1, 6) is y = 2x + 4.
The complete question is"=
Find the equation of the line. Use exact numbers. y=y=y, equals x+x+x, plus
A coordinate plane. The x- and y-axes each scale by one. A graph of a line goes through the points zero, four and one, six.
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Volume of a cube (cm') = width (cm) x height (cm) x length (cm). 1.1) Using the equation above, determine the volume of a cube that measures 3 cm wide, 3 cm tall, and 3 cm long. 1.2) Let's say this cube is made out of ice and has a mass of 24.76 grams (g). What is this ice cube's density? 1.3) The density of liquid water is slightly higher than that of frozen water ice. Liquid water's density at standard pressures and temperatures is 1.00 grams per cubic centimeter (g/cm'). Given that density, what is the mass of a cube of water measuring 3 cm wide, 3 cm tall, and 3 cm long? 1.4) Compare the weight of the water you calculated in question 1.3 with the weight of the ice of the same volume given in question 1.2. Which is heavier, the liquid water or the ice? Notice that the cube of water is the same size (or volume) as the cube of ice. 1.5) You know that ice floats on water. Explain why.
1.1) The volume of the cube is 27 cubic centimeters. 1.2)the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).
1.3) the mass of the water cube is 27 grams. 1.4) the weight of the water and the ice would be the same under the same conditions. 1.5)In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.
1.1) The volume of the cube can be calculated using the equation: Volume = width x height x length. In this case, the cube measures 3 cm wide, 3 cm tall, and 3 cm long, so the volume is:
Volume = 3 cm x 3 cm x 3 cm = 27 cm³.
Therefore, the volume of the cube is 27 cubic centimeters.
1.2) Density is defined as mass divided by volume. The mass of the ice cube is given as 24.76 grams, and we already determined the volume to be 27 cm³. Therefore, the density of the ice cube is:
Density = Mass / Volume = 24.76 g / 27 cm³ ≈ 0.917 g/cm³.
Therefore, the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).
1.3) The volume of the water cube is the same as the ice cube, which is 27 cm³. Given the density of liquid water as 1.00 g/cm³, we can calculate the mass of the water cube using the equation:
Mass = Density x Volume = 1.00 g/cm³ x 27 cm³ = 27 grams.
Therefore, the mass of the water cube is 27 grams.
1.4) The weight of an object depends on both its mass and the acceleration due to gravity. Since the volume of the water cube and the ice cube is the same (27 cm³), and the mass of the water cube (27 grams) is equal to the mass of the ice cube (24.76 grams), their weights would also be equal when measured in the same gravitational field.
Therefore, the weight of the water and the ice would be the same under the same conditions.
1.5) Ice floats on water because it is less dense than liquid water. The density of ice is lower than the density of water because the water molecules in the solid ice are arranged in a specific lattice structure with open spaces. This arrangement causes ice to have a lower density compared to liquid water, where the molecules are closer together.
When ice is placed in water, the denser water molecules exert an upward buoyant force on the less dense ice, causing it to float. The buoyant force is the result of the pressure difference between the top and bottom surfaces of the submerged object.
In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.
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A function fis defined by; f(x)=x2+4x+5 then find the value of
f(2).
Answer:
f(x)=17
Step-by-step explanation:
f(x)=(2)2+4(2)+5
=4+8+5
=17
f(x)=17
Answer:
f(2) = 17
Step-by-step explanation:
f(2) - sub in the number 2 in x
(2)² + 4(2) + 5
4 + 8 + 5
f(2) = 17
Roderick wants a cell phone, but his parents have told him that he has to pay for the bill and the phone. The phone that he wants is $100, and his part of the service plan would be $35 each month.
Answer: wheres the answer choices
Step-by-step explanation: good for roderick
Which statement is true about the x-intercepts?
A) The x-intercept is 3.
B) The x-intercepts are –3 and –1.
C) The x-intercept is at (–1, 2).
D) There are no x-intercepts.
Answer:
The x-intercept is found by setting y = 0, because that will give us the x-value at which the line crosses the x-axis
Step-by-step explanation:
Answer: D. There are no x-intercepts
The first one is 3
Which pair of terms can be used to represent any two consecutive odd numbers? x and x 1 x and x 2 x and 2 x 1 2 x and 2 x 1.
The pair of terms that can be used to represent any two consecutive odd numbers is "x" and "x + 2".
1. Let's assume "x" represents an odd number.
2. To find the next consecutive odd number, we add 2 to "x" because the difference between consecutive odd numbers is always 2.
3. Therefore, the next consecutive odd number can be represented as "x + 2".
For example, if we consider "x" to be 5, then the next consecutive odd number would be 5 + 2 = 7. Similarly, for any odd number "x", the next consecutive odd number can be obtained by adding 2 to it, giving us "x + 2".
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What's the answer please
Answer:
6
Step-by-step explanation:
A supermarket car park has 200 spaces.
10% of the spaces are for staff.
The other spaces are for disabled people, for parents and for other customers in the
ratio 1 : 2:7
Paul is going to paint a sign for each of the spaces for staff, for disabled people and
for parents.
He is not going to paint signs for the spaces for other customers.
Work out the total number of spaces Paul is going to paint a sign for.
The total number of spaces that Paul would paint is 74.
What is the total number of spaces Paul would paint?The number of spaces Paul is going to paint is the sum of the spaces for staff, disabled and parents.
Number of spaces for staff = 10% x 200 = 20
Remaining spaces = 200 - 20 = 180
Spaces for disabled = 1/10 x 180 = 18
Spaces for parents = 2/10 x 180 = 36
Total spaces = 20 + 18 + 36 = 74
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Help me out with this question!! 50 points
C
The mistake the arrangers made is in the second inequality. They considered the number of caps to be bought should be at least 5 times greater than the number of blouses, not the other way around. The correct inequality should be C
The correct answer is D) The first inequality should be s + h ≤ 1800.
The organizers made an error in the first inequality. The given inequality 10s + 8h ≤ 1800 represents the total cost of buying shirts (10s) and hats (8h) should be less than or equal to $1800. However, this does not take into account the fact that the organizers want to buy at least 5 times as many shirts as hats, as indicated by the second inequality h ≥ 5s.
The correct way to represent this constraint is by using the equation s + h ≤ 1800, which ensures that the total number of shirts and hats purchased does not exceed $1800 in cost. This is because the organizers want to make sure that the total cost of shirts and hats combined does not exceed the budget of $1800.
Help Please!! What is the median?
9393908489951008490
Answer:
To find the median, we need to first arrange the numbers in order from smallest to largest:
84 84 89 90 90 93 93 95 100
Since there are 9 numbers, the median will be the middle number. In this case, the middle number is 90, so the median is 90.
can someone help me out with number 12 is this a function, and do it shows the value of domain, & range
Please help me on circle theorems
Answer:
Thus: m=14°, n=28°
Step-by-step explanation:
Angles in a Circle
Let's review some concepts about angles in a circle.
The central angle is formed between two radii and its vertex lie at the center of the circle.
The inscribed angle is formed between two chords whose vertex lies on the circumference of a circle.
The measure of a central angle x formed by the same lines that define an inscribed angle y is:
x = 2y
Following the definitions and relations above, we find that:
The measure of the central angle 98° is double the inscribed angle 35°+mThe measure of the central angle n is double the inscribed angle mThe first statement leads to:
98 = 2 (35+m)
Dividing by 2:
49 = 35 + m
m = 49 - 35 = 14
m = 14°
The second statement leads to:
n = 2m = 28°
Thus: m=14°, n=28°
Find the value of the angle labeled as 2x - 5
2x + 20
X + 10
2X-5
Answer:
the 1st digit is in the 100s n its 1
step-by-step explanation:
3,589÷18 = 199.389
so the first digit of the quotient is in the 100s n its 1
(i think)
Step-by-step explanation:
A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service. What will be the total cost for 8 hours of work? 10 hours of work? On a graph
The equation in slope intercept form is C(h) = 50h+25 ,the total cost for 8 hours of work is $425 , and for 10 hours of work is $525.
In the question;
it is given that
the fixed charge of plumber = $25
charge for per hour of service = $50
the hours of service be "h"
and the total cost be "C"
according to the question
C(h) = 50h+25
the equation in the slope intercept form is C(h) = 50h+25
to find the total cost for 8 hours of work , put h=8
C(8) = 50(8) + 25
= 400+25
= 425
to find the total cost for 10 hours of work , put h=10
C(10) = 50(10) + 25
= 500+25
= 525
Therefore , total cost for 8 hours of work is $425 , and for 10 hours of work is $525 .
The given question is incomplete , the complete question is
A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service. What will be the total cost for 8 hours of work? 10 hours of work?
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Which one of the following statements expresses a true proportion? Question 17 options: A) 3:5 = 12:20 B) 14:6 = 28:18 C) 42:7 = 6:2 D)
Answer:
Answer for the question is A)
Answer:
A) 3:5 = 12:20
Step-by-step explanation:
The numbers should have the same proportion, so if you multiply the ratio with smaller numbers each by a specific number, it should equal the same ratio as the ratio with the bigger number (or even if you divide the ratio with bigger numbers to see if it equals the ratio with smaller numbers)
Example:
A) multiply 3:5 by 4:
3 x 4 = 12
5 x 4 = 20
Has the same proportion as 12:20, so that expresses a true proportion
B) multiply 14:6 by 2:
14 x 2 = 28
6 x 2 = 12
28:12 does not equal to 28:18, so not the same proportion.
C) multiply 6:2 by 7:
6 x 7 = 42
2 x 7 = 14
42:14 does not equal to 42:7, so not the same proportion.
Which of the following is a basic assumption for a chi-square hypothesis test? All scores come from an interval or ratio scale_ AIl of the other choices are assumptions for chi-square. The population distribution(s) must be normal: The observations must be independent:
The basic assumption for a chi-square hypothesis test is that all scores come from an interval or ratio scale. This means that the data being analyzed should have a quantitative scale with consistent units of measurement.
All other assumptions for chi-square, including normal population distribution and independent observations, apply to different types of statistical tests.
Normal population distribution assumes that the data follows a normal distribution curve, which is not applicable to a chi-square test as it is a non-parametric test that does not make any assumptions about the underlying population distribution.
Independent observations assumption implies that the values of one observation do not affect or influence the values of other observations. This assumption is relevant for both parametric and non-parametric tests, including chi-square.
Therefore, it is important to ensure that the data being analyzed meets the assumption of interval or ratio scale to conduct a chi-square test accurately.
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The product of four and a number +17 is five
Answer: n = -3
.........................
PLEASE HELP IM GOING TO FAIL WILL GIVE BRAINLESS
Give me brainless cuz I according to me it's 24
Last Thursday was costume day at Terrence's school. 50% of the 272 students wore a costume. How many students wore a costume?
Answer:
136
Step-by-step explanation:
272÷2=126
Identify the domain of the function shown in the graph.
Answer:
B
Step-by-step explanation:
The domain is the x values. Since I do not see arrows indicating that the lines go on forever, the x values are from -6 to 6
How to solve this Q?
Answer:
\( \frac{61}{20} \)
Step-by-step explanation:
\( \frac{3}{4} + ( \frac{4}{3} - \frac{1}{2} + \frac{2}{3} + \frac{4}{5} ) \\ \\ \frac{3}{4} + (( \frac{4}{3} - \frac{1}{2}) - \frac{2}{3} + \frac{4}{5} ) \\ \\ \frac{3}{4} + ( \frac{4 + 3}{3} - \frac{1}{2} + \frac{4}{5} \\ \\ \frac{3}{4} + ( \frac{6}{3} - \frac{1}{2} + \frac{4}{5}) \\ \\ \frac{3}{4} + (2 - \frac{1}{2} + \frac{4}{5} )\\ \\ \frac{3}{4} + \frac{20 - 5 + 8}{10} \\ \\ \frac{3}{4} + \frac{15 + 8}{10} \\ \\ \frac{3}{4} + \frac{23}{10} \\ \\ \frac{15 + 46}{20} \\ \\ \frac{61}{20} \)
what is the mean of 2 4 5 6 8
Answer:
The mean of 2 4 6 8 is 6
bc Means is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
Step-by-step explanation:
Hope this helps :)
A mean is an arithmetic average of a set of observations. The mean of 2, 4, 5, 6, and 8 is 5.
What is Mean?A mean is an arithmetic average of a set of observations. it is given by the formula,
Mean = (Sum of observations)/Number of observations
The mean of 2, 4, 5, 6, and 8 can be written as,
Mean = (2+4+5+6+8)/5 = 25/5 = 5
Hence, the mean of 2, 4, 5, 6, and 8 is 5.
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Circle any of the following that are isotopes of gallium-69. Explain your choices in 1-2 sentences.
Ga71
31
Ga69
30
Ga67
31
Ga66
32
The isotopes of gallium-69 are Ga71 and Ga67.
Ga71 is an isotope of gallium-69 because it has the same number of protons (31) but a different number of neutrons (40) compared to the standard isotope of gallium-69 (31 protons and 38 neutrons).
Ga67 is another isotope of gallium-69 because it also has 31 protons but a different number of neutrons (36) compared to the standard isotope of gallium-69.
These isotopes have different mass numbers due to the varying number of neutrons, while still retaining the same number of protons. Isotopes of an element have the same atomic number (number of protons) but different mass numbers.
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