A fire department's response time measures the time from when the alarm is sounded at the firehouse to the time the first fire engine leaves the station. The histograms below display the response times for fire departments in two small towns: Hilltown and Crestview.
Which of the following correctly compares the variability in response times for the two towns?
-Hilltown and Crestview show similar variability in their response times.
-The variability in Hilltown‘s response times is less than that of Crestview.
-The median response time in Crestview is greater than that of Hilltown.
-The variability in Hilltown‘s response times is greater than that of Crestview.
Answers
Answer:
B. The variability in Hilltown's response times is less than that of Crestview.
Step-by-step explanation:
This one makes most sense of all.
Tell me if I'm wrong :)
The interval that contains the median response time is; 50 - 60 seconds
What is the median of the histogram?The median of a histogram is defined as the middle element of the histogram.
Here, we have,
Now, in this histogram given, we see that the y-axis is for the relative frequency, while the x-axis is the Response time (in seconds).
Observing this histogram closely, it is clear that the response times are all symmetrical around the interval 50 - 60 seconds as it is also the middle element of the histogram.
Thus, we can conclude that the interval that contains the median response time is; 50 - 60 seconds
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Related Questions
find all couples (p,q) of prime numbers, such that p-q and p+q are prime numbers as well
Answers
Answer:
(2,5), (2,7)
Step-by-step explanation:
Because all prime numbers besides two are odd, and and odd number plus an odd number is an even number, there should be no solutions, unless, one of those numbers is not odd. In this case, there is only one non-odd prime number, that being two. So now that you know that one of the numbers is two, and has to be two, you have a little space finding the next number. The only restrictions its that its prime, if you add two you will get another prime number, and if you subtract two you will also get a prime number. In this case, both five and seven work. Some may say that three also works, but if you subtract two from three you get one, which is considered a special number, along with zero. Hope this helped! :D
Couple prime number of given quastion is (p,q)=(3,2) .
What is prime number?A prime number is defined as a whole number whose only factors are 1 and itself.
According to the given condition
Let, p=3 and q=2
⇒ p-q= 3-2 = 1 (prime)
⇒p+q= 3+2 = 5 (prime)
Now, p=5 and q=3
⇒ p-q= 5-3 = 2 (prime)
⇒p+q= 5+3 = 8 ( not prime)
(p,q)=(3,2) is the unique solution
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Juliet has a choice between receiving a monthly salary of $1900 from a company or a base salary of $1800 and a 5% commission on the amount of furniture she sells during the month. For what amount of sales will the two choices be equal?
Answers
Juliet will earn the same amount of money whether she chooses a monthly salary of $1900 from the company or a base salary of $1800 plus a 5% commission on furniture sales if her sales amount to $2000.
To find the amount of sales for which the two salary choices are equal, we set the equation for the base salary plus commission equal to the equation for the flat monthly salary. The equation can be written as:
1800 + 0.05x = 1900
where x is the amount of furniture sales in dollars.
Simplifying and solving for x, we get:
0.05x = 100
x = 2000
If she sells less than $2000 of furniture, she will earn more with the flat monthly salary of $1900. If she sells more than $2000 of furniture, she will earn more with the base salary plus commission. This calculation provides an important decision-making tool for Juliet, as she can tailor her salary choice based on her expected sales for the month.
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A paint mixer wants to mix paint that is 30% gloss with paint that is 15% gloss to make 3.75 gallons of paint that is 20% gloss. How many gallons of each paint should the paint mixer mix together?
Answers
Answer:
1.25 gallons of 30% gloss and 2.5 gallons of 15% glossStep-by-step explanation:
Gloss content is same at the input and output.
Let 30% gloss is x gallons, then 15% gloss is (3.75 - x) gallons.
We have the following equation:
0.3x + 0.15(3.75 - x) = 0.2*3.750.3x + 0.5625 - 0.15x = 0.750.15x = 0.75 - 0.56250.15x = 0.1875x = 0.1875/0.15x = 1.25 gallonsAmount of 15% gloss:
3.75 - 1.25 = 2.5 gallons30% gloss is 1.25 gallons and 15% gloss is 2.5 gallons
I am planning an ice cream party for 18 students who are allowed to eat 2 scoops of ice cream each. What constraint could affect our equation
Answers
Number of students = 18
Number of scoops allowed per student = 2
If we are to write the total number of scoops that all the students will recive in linear form:
let the total number represent y
A linear form has the form:
y = mx + c
In this question:
y = 2x
Since there is no constant, the c = 0
m= 2 scoops per person
x = number of persons
The constraint that can affect the equation is the number of scoops.
Since we are told each person will only have 2 scoops.
The constraint:
\(0\leq\text{ scoops}\leq\text{ 2}\)This is because we can't have negative number of scoops of ice-cream.
Find the area of the triangle. around intermediate values to the nearest tenth. Use rounded values to calculate the next value. Found your final answer to the nearest tenth
Answers
The area of the triangle is 97.07 units².
Given is a triangle we need to find the area,
So, let the triangle be ABC and the altitude be AD.
Using the trigonometric ratios,
Sin 52° = AB / AD
Sin 52° = 9 / AD
AD = 9 / Sin 52°
AD = 11.42
Now,
Tan 26° = DC / AD
Tan 26° = DC / 11.42
DC = 5.56
Also,
Cos 26° = AD / AC
Cos 26° = 11.42 / AC
AC = 12.7
BC = 11.42 + 5.56
BC ≈ 17
Now, the sides are BC = 17, AC = 12.7 and AB = 9,
The area of the triangle = 1/2 x BC x AD = 1/2 x 17 x 11.42
= 5.71 x 17
= 97.07
Hence the area of the triangle is 97.07 units².
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lower quartile of 5, 8, 6, 11, 5, 4, 7, 3, 5, 9, 6, 8
Answers
Answer: 5
Step-by-step explanation:
First order from least to gratest: 3, 4, 5, 5, 5, 6, 6, 7, 8, 8, 9, 11
Then find median (center): 6
Next find the lower quartile also known as the first quartile: 5
Your answer is 5
If you need additional help you can go to khan academy it is a great site with math for pre-k -SAT. Using khan academy I have become an A student.
I hope this helps and may God bless you. Have a nice day, bye!
y=6x+5 find the slope
Answers
Answer:
find the slope? the slope is the number attached to the x so itd be 6
Answer:
slope- 6
Step-by-step explanation:
y=mx+b
y= outcome of the equation being done to x
m=slope
b=starting point on the you axis
x=the plug in on the x axis
y=6x+5. example: x=1
y=6 (1)+5
y=11
slope=6
Pls answer this fast
Answers
Answer: C
Step-by-step explanation:
1. divide 3 by 2 to find out how many pounds of blueberries she picked each day. 3/2 is 1.5
2. multiply 1.5 by 16 to convert to ounces. 1.5x16 is 24.
3. she picked 24 ounces of blueberries each day.
The sum of a number and 3 is less than or equal to 8
Answers
Answer:
m ≤ 5
Step-by-step explanation:
I will begin by assuming m to be the number.
Then, the sum of m and 3 is: m + 3.
The symbol for "less than or equal to" is ≤.
So we form an inequality, like this :
m + 3 ≤ 8
To find m subtract 3 on each side:
m ≤ 5
Therefore, m ≤ 5.
5-time x, increased by 2
Answers
Answer:
i think it would be 27
Step-by-step explanation
1: 7
2: 12
3: 17
4:22
5:27
6:32
7:37
8: 42
9:47
10:52
the increase for each number will be 5
or if u want the increase to be 2 you can go :
1: 5
2: 9
3: 13 ect.
you get the point:)
i hope this helpsss:)))
brainliest pleasee<33
have and amazing day
y=⅔x+4 written in standard form
Answers
Answer:
I think it is 2x-3y=-12 not sure but try it
If it takes 3/2 yards of material to make a pillow cover, how many pillow covers can be done with 18 yards?
Answers
The builder recommends to Siya that he buys 10% more tiles than required in case of breakages. the tiles he likes are R234 for a box of 6 tiles. How much will Siya spend on tiles?
Answers
The amount Siya will spend on tiles is given by the expression (1.1 x T / 6) x R234, where T represents the required number of tiles. To calculate the amount Siya will spend on tiles, we need to determine the number of boxes of tiles he needs to purchase and then multiply it by the price per box.
First, we need to determine the number of tiles required. Let's assume the required number of tiles is represented by the variable "T."
Since the builder recommends buying 10% more tiles in case of breakages, Siya needs to purchase 110 percentage of the required number of tiles. This can be calculated as:
110% of T = 1.1 x T
Next, we need to convert the number of tiles into the number of boxes required. We know that one box contains 6 tiles, so the number of boxes Siya needs to purchase is:
Number of boxes = (1.1 x T) / 6
Finally, we can calculate the total cost by multiplying the number of boxes by the price per box:
Total cost = (1.1 x T / 6) x R234
Please note that without knowing the specific number of tiles required (T), we cannot provide an exact amount Siya will spend.
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I have attached a picture of the question but have typed out the option, i know a little bit about the function and what it would look like but im confuzed on what the plane y=?z=sin(xy)Give reasons for your choices. This function is [zero / linear / parabolic / period] in both x and y, and the function is [the same / not the same]when x is interchanged with y, so its graph is [ symmetric / not symmetric] about the plane y =[ ] . In addition, the function is [zero / linear / parabolic / periodic ] along the x- and y-axes. These conditions are satisfied only by [A / B / C / D / E / F ] and [ I / II / III / IV / V / VI ].
Answers
The function is periodic in both x and y, and the function is the same when x is interchanged with y, so its graph is symmetric about the plane y = 0. In addition, the function is periodic along the x- and y-axes. These conditions are satisfied only by C and IV.
A: The function plane does not have a zero or linear behavior, so this option is not correct.
B: The function does not have a linear behavior, so this option is not correct.
C: The function is periodic in both x and y, so this option is correct.
D: The function does not have a parabolic behavior, so this option is not correct.
E: The function does not have a periodic behavior, so this option is not correct.
F: The function does not have a linear behavior, so this option is not correct.
I: The function is the same when x is interchanged with y, so this option is correct.
II: The function is not symmetric about the plane y = 1, so this option is not correct.
III: The function is not symmetric about the plane y = 2, so this option is not correct.
IV: The function is symmetric about the plane y = 0, so this option is correct.
V: The function is periodic along the x- and y-axes, so this option is correct.
VI: The function is not linear along the x- and y-axes, so this option is not correct.
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Which of the following conditions or set of conditions must be met for a parallelogram to be a rectangle?
A. Diagonals are perpendicular.
B. Diagonals are congruent.
C. All sides are congruent.
D. The length of a diagonal is equal to the length of a side.
Answers
A parallelogram can only be a rectangle if the following conditions are satisfied: B) The diagonals must be congruent, and A) the diagonals must be congruent and perpendicular.
What is meant by parallelogram?A unique kind of quadrilateral known as a parallelogram is defined by having both pairs of its opposite sides parallel and equal. The opposing sides of a parallelogram are all parallel and of equal length. a quadrilateral parallelogram. Rhombus: An equal-length parallelogram with four sides. A parallelogram is a square. Always. This is accurate. A square is a quadrilateral with two sets of parallel sides, four right angles, and four congruent sides.Since not all parallelograms have equal sides, not every parallelogram is a rhombus. The opposite is true, though, when every rhombus is a parallelogram.Every rectangle is a parallelogram, but not every parallelogram is a rectangle, is the correct statement.Therefore,
One feature of a parallelogram is that its diagonals are divided in half. A rectangle also has congruent diagonals.
In addition to being congruent, the diagonals in a square are perpendicular to one another.
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A dog runs 100 yards from one corner of a rectangular park to the opposite corner. If the length of the park is 28 yards, what is the width?
Answers
9514 1404 393
Answer:
96 yards
Step-by-step explanation:
The diagonal through the park cuts the rectangle into two right triangles. The Pythagorean theorem tells you the relationship between the sides of a right triangle and its hypotenuse: the sum of the squares of the sides is equal to the square of the hypotenuse.
The diagonal is the hypotenuse, so we have ...
100² = 28² + w²
w = √(10000 -784) = 96
The width of the park is 96 yards.
_____
Additional comment
The integer side lengths of a right triangle form what is called a "Pythagorean triple." One of the most often seen of these is (3, 4, 5). Other commonly seen Pythagorean triples are (5, 12, 13), (7, 24, 25), (8, 15, 17).
You may notice that the numbers here are those of the (7, 24, 25) Pythagorean triple, multiplied by 4. If you recognize the given lengths as having the ratio 28:100 = 7:25, you have the clue you need to determine the answer simply from your knowledge of Pythagorean triples.
What is the probability of
spinning a yellow?
[?]%
![What is the probability ofspinning a yellow?[?]%](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/HSM7dPVeCFpwXYxAmy6pUUl1MEpRGa1T.png)
Answers
Answer:
12.5 %
Step-by-step explanation:
There are 8 total sections, and only one of them is yellow. So if we spun it eight times, the possibility of getting yellow is one time. As a result, 1/8 is 12.5%
It’s takes an aero plane 3.2 hours to fly from Mumbai to Seoul. It takes the same aero plane 1 1/3 hours to fly from Seoul to Tokyo. How many hours does it take the aero plane to travel from Mumbai to Tokyo if it flies through Seoul?
Answers
To find the total time it takes for the airplane to travel from Mumbai to Tokyo via Seoul, we need to add the time taken for the Mumbai-Seoul leg and the Seoul-Tokyo leg.
The airplane takes 3.2 hours to fly from Mumbai to Seoul.
The airplane takes 1 1/3 hours to fly from Seoul to Tokyo, which is equivalent to 1.33 hours.
To find the total time, we add the two durations:
3.2 hours + 1.33 hours = 4.53 hours
Therefore, it takes approximately 4.53 hours for the airplane to travel from Mumbai to Tokyo if it flies through Seoul.
Help me please please dont answer if you don’t know i will also give brainliest
Answers
Answer:
$100.75
Step-by-step explanation:
422.05 - 106.30 - 310.00 + 95.00 = 100.75
After a flood, a creeks water level changes by -2 4/5 ft in 3 1/2 h. What is the average change in the creeks water level each hour
Answers
Answer
0.8 ft/hr
Explanation
2 4/5 ÷ 3 1/2 = 2.8 ÷ 3.5 = 0.8
Terrel has 8 nickels. Heather has twice as many nickels as Terrel. Heather spends 4 nickels to buy a pencil. Each nickel is worth 5 cents. Which expression shows how many cents Heather has left?
Answers
Answer:
12*5=x
Step-by-step explanation:
Translate the sentence into an inequality:
“The difference of y and 9 is greater than or equal to 29.”
(will mark brainliest)
Answers
Hope this helps :)
A community hall is shape of a cuboid. The hall is 40 m long, 15 m wide and 3 m high. The community hall needs re-decorating with new point for the walls and ceiling, and new tiles on the floor. A 10 litre tin of paint covers 25m*25m and costs £10. 1m*1m floor tiles cost £3 each. Work out the total cost of paint and tiles needed to re-decorate the community hall.
Answers
Step-by-step explanation:
We have been given that a community hall is in the shape of a cuboid. The hall is 40m long 15m high and 3m wide.
The paint will be required for 4 walls and ceiling.
Let us find area of walls and ceiling.
Therefore, the area of walls and ceiling is 1410 square meters.
Given: Cost for 10 litre of paint is $10 and 10 litre paint covers 25 square meter. Therefore,
Therefore, the total painting cost is $564.
Tiles will be required for floor. Let us find the area of floor.
Given: 1m squared floor tiles costs $3. So,
Therefore, the total cost for tiles is $360.
Now let us find combined total cost of tiles and paint.
Therefore, the combined total cost of tiles and paint is $924.
Find the indicated z score. The graph depicts the standard normal distribution with mean 0
and standard deviation 1.
The indicated z score is
(Round to two decimal places as needed.)
...
0.2776
20
Answers
Using the normal distribution, it is found that the indicated z-score is Z = 1.08.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Now, In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:
z = (x - μ) / σ
Here, It measures how many standard deviations the measure is from the mean.
After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
In this problem, we want Z with a p-value of 0.2776,
Thus, we get;
⇒ z = 1.08.
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what is the answer to 1/3x-5=4
Answers
Step-by-step explanation:
the answer is x=27 sjsisjxjxndnsnaia
Answer:
The answer to your question is x=27.
Which graph has a slope of 4/5?
Answers
Answer:
B
Step-by-step explanation:
It goes rise over run. So it goes up four squares and to the right five squares.
Answer:
B
Step-by-step explanation:
(1,1) (2,3) how do i slove this ?
Answers
To get the slope between two points given the coordinates , apply the formula below;
slope, m= change in y-axis coordinates / change in x-axis coordinates
m= 3-1 / 2-1
m= 2/1
m= 2
Answer
Slope , m = 2
Kevin answered 80% of the questions on his test correctly. if he answered 20 questions correctly. how many total questions were the test?
Answers
Answer:
There were 25 questions total on the test.
Step-by-step explanation:
Hope this helps!
Triangle E F G. Side E F is 6 meters, F G is 5 meters, E G is 7 meters. Angle F is 87 degrees and angle G is 58 degrees. Triangle K L J. Side K L is 28 meters, L J is 24 meters, J K is 20 meters. Angle K is 58 degrees, L is 35 degrees, J is 87 degrees. What can you conclude about these triangles? Check all that apply.
Answers
Answer:
Similar trianglesStep-by-step explanation:
Refer to attached
Given:
ΔEFGEF =6 m, FG = 5m, EG = 7 m∠F = 87°, ∠G= 58°, ∠E = 180° -(87°+58°) = 35°ΔLJKKL= 28 m, LJ = 24 m, JK = 20 m∠J = 87°, ∠K = 58°, ∠L = 35°We can see that:
∠F≅∠J, ∠G ≅ ∠K, ∠E ≅ ∠Land
KL/EG = LJ/EF = JK/FG = 28/7= 24/6= 20/5 = 4So the corresponding angles are congruent and corresponding sides are similar
We can conclude that the triangles are similar
Answer: First one & 4th one.
Angle E corresponds to angle L.
The two triangles are similar.
Step-by-step explanation: Just did it. Both are correct!
Tyrell is traveling to Chicago, Illinois. He takes a cab service from the airport to his hotel. The table shows the linear relationship between the number of miles the cab travels, x, and the total fee, y.
Cab Fare
Number of Miles ---- Total Fee
2 Miles ---------------- $15.00
5 Miles ---------------- $19.50
7 Miles ---------------- $22.50
10 Miles ---------------- $27.00
15 Miles ---------------- $34.50
What does the y-intercept mean in this situation?
A) When the cab travels 0 miles, the total fee will be $1.50.
B) When the cab travels 0 miles, the total fee will be $12.00.
C) For every additional mile the cab travels, the total fee increases by $1.50.
D) For every additional mile the cab travels, the total fee increases by $12.00.
Answers
The meaning of the y-intercept in this situation is ,
''For every additional mile the cab travels, the total fee increases by $12.00.''
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
From the table, we have the following parameters:
Points (x, y) = (2, 5) and (15.00, 19.50)
So, we would calculate the slope as follows:
Slope = (19.50 - 5)/(15.00 - 2)
Slope = 14.50/13
Slope = 1.11
Hence, We get;
Fixed fee = $15 - (1.12 x 2)
= $15 - 2.24 ≈ $12.00
So, We get;
For every additional mile the cab travels, the total fee increases by $12.00.
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