Answer:
Q1 --> 17
Q2 --> 20
Q3 --> 22.5
Interquartile
Range IQR 5.5
Step-by-step explanation:
Step 1
We rearrange the given data set
10, 16, 18, 20, 20, 21, 24, 25
Q2 (median):
Q1:
Q3:
Interquartile Range (IQR): Q3-Q1 -
evaluate 4z -5y when z=8 and y=3
Answer:
17
Step-by-step explanation:
In 4z -5y, substitutte 8 for z and 3 for y, obtaining:
4(8) - 5(3) = 32 - 15 = 17
Answer:
17
Step-by-step explanation:
When you have a number by its variable you multiple, if you know the value of the variable then you multiply the two numbers together.
4z-5y
when z=8 and y=3
The equation really is
4 times 8 - 5 times 3
4 times 8 is 32
5 times 3 is 15
15-32
15-32= 17
For which of the following equations does n = 5?
I. 3n = 15
II. n2 = 25
III. 2n = 32
Answer:
1) 3n = 15
Step-by-step explanation:
Please help with this
Answer:
1, 2, 3, 6, 9, 18, 27, 54
Step-by-step explanation:
The sequence 18, 9, 9/2, 9/4, 9/8, ... represents the percentage of votes a particular political candidate has according to polls each day after a scandal. The sequence has a common
Answer:
r = 1/2Step-by-step explanation:
Given sequence:
18, 9, 9/2, 9/4, 9/8, ...We can see this is a GP and its common ratio is:
r = 9/8 ÷ 9/4 = 9/4 ÷ 9/2 = 9/2 ÷ 9 = 9 ÷ 18 = 1/2Common ratio
9/18=1/29/2/9=1/29/4/9/2=1/2Common ratio is 1/2
5
?
Find the arc length of the partial circle.
Either enter an exact answer in terms of Tor use 3.14 for and enter your answer as
decimal.
units
Answer:
its 7.5 pi
Step-by-step explanation:
The length of the arc of the particle circle is equal to 23.55 units
What is the area and circumference of a circle?The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.
Given here the radius of the circle as 5 units thus the length of the arc which makes an angle of π-π/2=3π/2 is angle subtended at the centre times the radius of the circle
Arc length = 5×3π/2
= 15π/2
= 15×3.14 /2
= 23.55 units
Hence The length of the arc of the particle circle is equal to 23.55 units
Learn more about circumference of the circle here:
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100 POINTS! :)
Please answer the question correctly WITH WORK...otherwise I will report! :)
Joshua has a ladder that is 12.8 ft long. He wants to lean the ladder against a verticle wall so that the top of the ladder is 11 ft above ground. For safety reasons, he wants the angle of the ladder no greater than 75 degrees. Will the ladder be safe at this height? Show your work.
Answer: So we'll use trig to solve this because it's a right triangle. The hypotenuse is the ladder (h) and the two smaller sides are the ground and the vertical wall (w).
That angle ladder makes with the ground = €
SOH: sin € = opposite/hypotenuse
No the ladder won't be safe!!!
Now let's make it safe:
The ladder's length (w) is constant, so stays 12
So now let's ask in an inequality what height will be safe (75° or less)
what does that mean?? well as long as you put the ladder against the wall so that the height from ground to top of the ladder is < 11.6 ft!!
Hope that helps! :-D
Step-by-step explanation:
!!!!!!!!!!!!!!!!!!!!!
Answer:
A
Step-by-step explanation:
Answer:
Im gona guess C but im not 100%
Step-by-step explanation:
The circumference of the inner circle is 270.04 miles. What is the area of the shaded region?
area of a circle = [tex]\pi r^{2}[/tex]
circumference =[tex]2\pi r[/tex]
Okay so the center of the circle is the same for both of the circles lets take that value as m so the radius of the inner circle is 54 - m
we have the circumference of the inner circle which is 270.04 we can find the value of m using that
[tex]270.04=2\pi (54-m)\\270.04= 339.2-6.28m \\6.28m = 339.2-270.04\\m= 11.02[/tex]
the radius of the inner circle is therefore 42.98
and the full circle has a radius off 65.02
area of shaded region = area of full circle - area of inner circle
area of shaded region = [tex]\pi (65.02)^{2} - \pi (42.98)^{2}[/tex]
area of shaded region = [tex]13281.39 - 5803.4[/tex]
area of shaded region = 7478 rounded off to the nearest whole number
less than equal to or greater than 3827
Answer:
it is less than, greater than, equal to, and less than
Step-by-step explanation:
if the numerator is greater than the denominator the fraction is greater than 1 and therefore you will have a number greater than 3827, if the numerator is less than the denominator the fraction is less than 1 and you will have a number less than 1, if the numerator and denominator are equal the fraction is equal to 1
Answer:
2. 3,827 > 8/3 3. 3,827 > 8/8 4. 3,827 > 3/5
Step-by-step explanation:
In problem 2. 8/3 as a decimal is 2.6 so that means 3,827 is greater. In problem 3. 8/8 as decimal is 1 so that means 3,827 is greater. In problem 4. 3/5 as a decimal is 0.6 so that means 3,827 is greater. i hope this helps have a good day :)
The perimeter of an equilateral triangle is 60 centimeters. The length of the altitude of the triangle is XV3 centimeters. What is the value of x?
9514 1404 393
Answer:
x = 10
Step-by-step explanation:
Half of the triangle makes a 30°-60°-90° "special" triangle. We know the side ratios of that are 1 : √3 : 2. The long side is 1/3 of the perimeter, so is 60/3 = 20 = 10×2. Then the altitude is 10 times the middle ratio value: 10√3 ≈ 17.32.
Comparing this with x√3, we find x = 10.
Answer:
X = 25
Step-by-step explanation:
To solve this question, we'll first of all find determine the side length of the triangle from the perimeter.
Perimeter of an equilaterial triangle = 3 * s
S = side length
Perimeter = 150cm
150 = 3s
S = 150 / 3
S = 50cm
The side lengths are 50cm each since they are all equal.
To find x,
We have to divide the triangle equally into two different part.
Check the first attachment for better illustration on how the equilaterial triangle is.
Check the second attachment for better illustration on the triangle when its divided into a right angle triangle.
From the right angle triangle, we can use pythagorean theorem to solve for x
a² = b² + c²
a = 50cm
b = 25cm
c = x√(3)
50² = [x√(3)]² + 25²
2500 = x² * 3 + 625
2500 - 625 = 3x²
1875 = 3x²
X² = 1875 / 3
X² = 625
X = √(625)
X = 25
HOPE THIS HELPS
if so please give me a brainlist
Please help due in 5 minutes
Answer:
18,24,30
Step-by-step explanation:
hope this helps
Answer:
c
Step-by-step explanation:
because that the hypotenuse 30 adjacent 18 and opposite 24
Solve the system using substitution. y = 2x + 10
y = x + 8
A. ( 6, 14)
b. ( 2, 14)
C. (2, 10)
D. (-2,6)
Answer:
Hi! The answer to your question is D. (-2, 6)
Step-by-step explanation:
☆*: .。..。.:*☆☆*:☆*: .。..。.:*☆☆*: .。..。.:*☆ .。..。.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
(lg 5)²+(lg 2)(lg 50)
need solution....
The dot plot shows two students’ scores on 12 history quizzes.
Which of the following statements correctly compares the median and the range of their scores?
A. The median of Lolo’s scores is greater that the median of Ami’s scores, and the range of Ami’s scores is greater that the range of Lolo’s scores
B. The medians are equal, and the range of Ami’s scores is greater than the range of Lolo’s scores
C. The medians are equal, and the range of Lolo’s scores is greater than the range of Ami’s scores
D. The median and range of Lolo’s scores are greater than the median and range of Ami’s scores
Answer:
The correct answer is B
Step-by-step explanation:
Both of their medians are equal and Ami's range is larger than Lolo's range :)
The medians are equal, and the range of Ami’s scores is greater than the range of Lolo’s scores
Option B is the correct answer.
What is median?It is the middle value of the given set of numbers after arranging the given set of numbers in order.
We have,
Lolo's quiz:
Scores: 12, 13, 13, 14, 14, 14, 15, 16, 16, 17, 17, 19
Median.
= (14 + 15)/2
= 14.5
Range,
= 19 - 12
= 7
Ami's score:
Scores: 10, 12, 12, 13, 13, 14, 15, 16, 17, 17, 18, 18
Median.
= (14 + 15)/2
= 14.5
Range.
= 18 - 10
= 8
We can say that,
The median is the same for both and Ami's range is greater than Lolo's.
Thus,
The medians are equal, and the range of Ami’s scores is greater than the range of Lolo’s scores
Learn more about median here:
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6
There are 20 sweets in a bag.
Seven of them are strawberry.
A sweet is taken at random from the bag.
What is the probability that the sweet taken is not strawberry?
30 is what percent of 40?
Answer:
it is 75% sheeeesh. jdjdjd
Step-by-step explanation:
3/4
Answer:
75%
Step-by-step explanation:
Let the answer be 'x'
40 × x/100 =30
40x/100 = 30
40x= 3000
x =3000÷40
x= 75
thus 30 is 75% of 40
True or false: The following table is linear.
The table is linear because it goes up at a consistent rate each time.
Your scores on the first 4 tests in Algebra were 85, 80, 90, and 93. What do you need to make on the 5th test to have a 90 average in the class?
Answer:
you would have to get a 100 on your fifth test
Step-by-step explanation:
because between your first 4 tests, the average is only 87 something but when you add 100 to that, the average turns to 89.6 which when rounded becomes 90.
I don't get it please help it's for math ASAP please help
help me please!!! no links 10 points
in persectev i think the answer in bound to be 17/10
Answer:
x=3 y=13
Step-by-step explanation:
now you got x... substitute x value with one of the questions then you get y
-3×3+2y=17
-9+2y=17
2y=17+9
y=26/2
y=13
i hope it's clear this is how elimination method works... this is how i learned.... t☺️❤️
A light bulb consumes 1800 watt-hours per day. How long does it take to consume 8100 watt-hours?
Answer:
8100/1800 = 4.5 days
Step-by-step explanation:
Janea bought a motorcycle for dollars. It depreciates by a factor of each year. Which expression best predicts the value of the car after 10 years?
Answer:
m·n¹⁰Step-by-step explanation:
Required equation is in the form of:
V(t) = P*r^t, V- future value, P- present value, r- rate, t- timeIn terms of this question:
m·n¹⁰ is the correct choiceDetermine whether the pair of lines is parallel perpendicular or neither 26x+2y=4 and -3x+39y=-15
PLZ, I WILL GIVE BRAINLIEST IF YOU HELPPP!
1.) 1, 2, 3, 5, 7
2.) 11, 13, 17, 19
find the value of x (image below)
Answer:
x=35
Step-by-step explanation:
Gina is building a rectangular prism out of sugar cubes for her art class project. She started by drawing a diagram of the rectangular prism that is 4 cubes high, 4 cubes long and 2 cubes wide. How many cubes does she use to make the prism?
The rectangular prism is made up of the dimensions
Lenght = 4 cubes
Width = 2 cubes
Height = 4 cubes
The total number of cubes she needs shall be derived as number of cubes along the lenght multiplied by number of cubes along the width, and then multiplied by number of cubes along the height. Therefore, she would have:
[tex]volume = l \times w \times h \\ volume \: = 4 \times 2 \times 4 \\ volume = 32 \: cubes[/tex]
Therefore, She need 32 cubes to make the prism.
What is the slope and y-intercept of the following equation: 5x - 3y = 36
Answer:
y=5/3x-12
slope= 5/3
y-intercept= -12
Step-by-step explanation:
i hope this helps :)
Tina has 3 quarters, 1 dime, and 6 nickels in her pocket.
Find the probability of randomly drawing a nickel?
Answer:
60%
Step-by-step explanation:
Tina has 3 quarters, 1 dime, and 6 nickels, or 10 coins in total.
They are asking for the probability of drawing a nickel (6 in total). Divide 6 from the total amount of coins:
6/10 = 0.60, or 60%
Tina has a 60% chance of drawing a nickel from her pocket.
~
What is the next term of the geometric sequence 5, 20,80
Answer:
a₄ = 320
Step-by-step explanation:
To obtain a term in a geometric sequence , multiply the previous term by the common ratio r
r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{20}{5}[/tex] = 4 , then
a₄ = 4 × a₃ = 4 × 80 = 320
A trapezoid with a height of 8 ft base measuring 11 ft has an area of 112ft find the length of the other base
Answer:
1.27272727273 I think
Step-by-step explanation: