Answer:
20.5
Step-by-step explanation:
20 + 21 = 41. Divide 41 by 2 than you get 20.5.
The first quartile of the given data set is 20.
Here,
To find the first quartile of a data set, we first need to arrange the data in ascending order.
Then, we can calculate the position of the first quartile using the formula:
Position of the first quartile (Q1) = (n + 1) / 4
where n is the number of data points in the data set.
Given data set: 15, 18, 20, 21, 23, 24, 26, 29, 34, 37, 40
Arranging the data in ascending order: 15, 18, 20, 21, 23, 24, 26, 29, 34, 37, 40
Now, let's calculate the position of the first quartile:
n = 11 (since there are 11 data points in the data set)
Position of the first quartile (Q1) = (11 + 1) / 4 = 12 / 4 = 3
The first quartile (Q1) is the value at the 3rd position in the ordered data set, which is 20.
So, the first quartile of the given data set is 20.
learn more on quartile :
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A 16-foot ladder must reach 13 feet up a building. What's the measure of the angle
that the ladder makes with the ground?
OA) 39.090
OB) 3.6°
C) 54.34°
D) 35.66°
The correct answer is C) 54.34°.
3 + x, when the value of x is 15
Answer:
The answer is 18
Step-by-step explanation:
If you add 15 to 3 then you get 18
Hope this helps!!! :)
Answer:
x= -15
Step-by-step explanation:
I hope it's help you
> Next question You can retry this question below What is the slope of a line that is parallel to the line – 7x - y = 2 ? Write your answer as an integer or fraction. The slope is Check Answer Type here to search O
Answer:
The slope of parallel line m = -7 is an integer
Step-by-step explanation:
Explanation:-
Given that the parallel line
-7x-y = 2
we know that the slope of the two parallel lines are equal
m₁ = m₂
The given parallel line equation
- 7 x - y = 2
The slope-intercept form
y = - 7x -2
comparing
y = mx +C
slope of parallel line m = -7 is an integer
y- Intercept c = -2
Who can tell me the answer quick?
Answer:
B
Step-by-step explanation:
Strawberries are $3.99 per pound. If a customer bought $30 worth, how many pounds did he buy? $
Blank 1:
Answer:
7.5
Step-by-step explanation:
Divide 30 by 3.99
30/3.99=7.5Kimberly makes a conjecture that the sum of two odd integers is always an even integer. Which choice is the best proof of her conjecture?
Answer:
third choice : Let 2a + 1 be one odd number, and let 2b + 1 be the other odd number. (2a + 1) + (2b + 1) = 2a + 2b + 2 = 2(a + b + 1). Because 2(a + b + 1) is evenly divisible by 2, it is an even number.
You’re welcome ;)
what percentage of 130 liters is 6.5 liters?
Answer:
2%
Correct Answer : 2%
Required Percentage = [ (130/(6.5 * 1000)) * 100]% = 2%.
Step-by-step explanation:
please give me a heart anyone else please give me a heart thank you
Find the area of this Parallelogram.
9- 2 3/4 please hurry
Answer:
6 1/4
Step-by-step explanation:
what is 1000×80,000 in stuck on this
Answer:
80,000,000
Step-by-step explanation:
manny has an investment account which compounds interest continuously at a rate of 3.1%. He puts $7500 into the account initially. after 2 years how much money does he have in the account?
Answer:
$7049 is the answer.
Step-by-step explanation:
Answer: $7980
Step-by-step explanation:
Follow the formula A=Pe^rt
A= 7500(e)^(.031)(2)
A= 7980
Find an exact value.
sine of negative eleven pi divided by twelve.
A. square root of six plus square root of two divided by four.
B. negative square root of six minus square root of two divided by four.
C. square root of two minus square root of six divided by four.
D. square root of six minus square root of two divided by four.
Answer:
(√2 - √6) / 4
C. square root of two minus square root of six divided by four.
Step-by-step explanation:
sine of negative eleven pi divided by twelve.
We have :
sin(-11π/12)
sin((4 - 15)π / 12) = sin(4π/12 - 15π/12)
sin(4π/12 - 15π/12) = sin(π/3 - 5π/4)
Recall:
Angle difference formula:
sin(A - B) = sinAcosB - sinBcosA
Hence,
sin(π/3 - 5π/4) = sin(π/3) cos(5π/4) − sin(5π/4) cos(π/3)
From trigonometry:
sinπ/3 = √3/2
cos5π/4 = -√2/2
sin5π/4 = -√2/2
cos π/3 = 1/2
(√3/2) (-√2/2) − (-√2/2) (1/2)
-√6/4 - -√2/4
-√6/4 + √2/4
√2/4 - √6/4
(√2 - √6) / 4
I need help super quick
Answer: D is correct
Step-by-step explanation:
everything under the X side can be multiplied by 5 and equal Y
Answer:
C
Step-by-step explanation:
Solve this system of equations using substitution:
y = 2r-4
x + 2y = 10
Step 1: Substitute for y in the second equation. Which is the
resulting equation?
House prices in the neighborhood average at $90.05 per square foot. If the house has 1055 square feet, what should be its price?
A. $139,750
B. $109,000
C. $95,000
D. $124,000
Answer:
C. $95,000
Step-by-step explanation:
90.05 times 1055 is $95,000.75 the closest number to that is $95,000.
What is 4 divided by 1/8
Answer:
32
Step-by-step explanation:
4/(1/8)
Fernando saves a total of 8,046 pennies every two weeks. How many pennies does he save in 6 weeks?
8046 / 2 = 4023 --> each week.
- now multiply that by 6.
4023 X 6 = 24,138 pennies.
Answer:
24138
Step-by-step explanation:
6 weeks ÷ 2 = 3weeks
8046 × 3 = 24138
28 = 7x + 3 - 2x
Need all the work shown too solve for X
Answer:
X = 5
Step-by-step explanation:
28 = 7x + 3 - 2x
28 = 5x + 3
28 - 3 = 5x + 3 - 3
25 = 5x
25/5 = 5x/5
X = 5
Answer:
X = 5
Step-by-step explanation:
1. Combine like terms.
2. Subtract 3 from both sides.
3. Simplify.
4. Divide both sides of the equation by the same term.
5. Simplify.
Hope this helps!
t is the letters in the word thinking
Answer:
u is the one on my mind rn
Step-by-step explanation:
HAHAHAHAHHAA XD
A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 449.0 gram setting. It is believed that the machine is underfilling the bags. A 37 bag sample had a mean of 441.0 grams. A level of significance of 0.05 will be used. Determine the decision rule. Assume the standard deviation is known to be 18.0.
Answer:
the decision rule is to reject H0 if Z is < -1.645
Step-by-step explanation:
this question is interested in the decision rule.
H0: u = 449
H1 : u <449
We find the test statistic
Mean bar x = 441
u = 449
Sd = 18
n = 37
Z = barX - u / sd/√n
= 441-449/18/√37
= -8/18/6.083
= -8/2.959
Z = - 2.7036
This is the value of the test statistic
The critical value at 0.05 = -1.645. this is a left tailed test
The decision rule is to reject H0 if Z < -1.645
The test statistic is less than the critical value
-2.7036 < -1.645
So we have enough evidence to reject H0. At 0.05 level we have enough evidence to support claim.
I need help getting the answer to this question.
Step-by-step explanation:
To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
I think this should help ya! -Furreto
A car travels a constant speed of 70 miles per hour. How far will it have travel in 4 hours?
Answer:
280 km
Step-by-step explanation:
Given: ΔABC, AB=12, m∠A=60°,m∠C=45°, AB =8 Find the perimeter of ΔABC
Answer:
The perimeter of ΔABC is 43 units
Step-by-step explanation:
An illustrative diagram is shown in the attachment below.
To find the perimeter of the triangle, we will first determine the length of the unknown sides.
First, we can determine /BC/ using the Sine rule
From Sine rule
[tex]\frac{SinA}{a} = \frac{SinB}{b} = \frac{SinC}{c}[/tex]
∴ [tex]\frac{SinA}{a} = \frac{SinC}{c}[/tex]
In the diagram, [tex]a = /BC/[/tex] and [tex]c = /AB/ = 12[/tex]
m∠A=60° and m∠C=45°
∴ [tex]\frac{Sin60}{/BC/} = \frac{Sin45}{12}[/tex]
[tex]/BC/ = \frac{12 \times Sin60}{Sin45}[/tex]
[tex]/BC/ = 6\sqrt{6}[/tex]
To find /AC/, will first determine m∠B
m∠A + m∠B + m∠C = 180° (Sum of angles in a triangle)
60° +m∠B + 45° = 180°
m∠B + 105° = 180°
m∠B = 180° - 105°
m∠B = 75°
Also, using the sine rule
[tex]\frac{SinB}{b} = \frac{SinC}{c}[/tex]
From the diagram, [tex]b = /AC/[/tex]
[tex]\frac{Sin75}{/AC/} = \frac{Sin45}{12}[/tex]
[tex]/AC/ = \frac{12 \times Sin75}{Sin45}[/tex]
[tex]/AC/ = 6 + 6\sqrt{3}[/tex]
Now,
The perimeter of ΔABC = /AB/ + /BC/ + /AC/
= [tex]12 + 6\sqrt{6} + 6+6\sqrt{3}[/tex]
= 43.09 units
≅ 43 units
Hence, the perimeter of ΔABC is 43 units.
Answer:
Using the figure above, if AB = RT and ∠R = 70°, then ________.
ΔABC ~ ΔRTS
m ∠ S = 50°
ΔABC ≅ ΔRTS
m ∠ S = 60°
Step-by-step explanation:
If the distance from point P to point L is the same as the distance from point P to point C, then P is on
Answer:
This answer is C, it is on the perpendicular bisector of segment LC.
Draw any line segment P and L, then another point C anywhere, but the length needs to be the same as PL. You will note that LC (if you connect those points) will become the perpendicular bisector to point P.
I hope that makes sense.....
Step-by-step explanation:
The value of y varies directly with x, and y
Find y when x = 2.4.
7.2 when x = 1.6.
Answer:
Step-by-step explanation:
Which one's are true???
Answer: I believe b and d
Step-by-step explanation:
Answer:
A is true b is true
Step-by-step explanation:
A.if u add a postive to a negative that is the same number u get 0
b. negative plus negative is positive
have a great day
(Blank) x 1/6 = 5/6
I haven’t done this in a while so I need help.
Answer:
5
Step-by-step explanation:
Divide 5/6 by 1/6 to get 5 as your answer.
Use the LCD to rewrite
3/4 5/8 1/10
with the same denominator.
Please help me solve it
Answer:
The Answer for 12 x 20 is 240 if this helps there was not much info you gave me to do this sorry if this is not your question or answer
Step-by-step explanation:
Mark Me Brainliest Please
i givee brainlilsttt
Answer:
simple, it's (4,4) because the (-4,-4) is on the left side then on the right side, we know the x axis is positive right? so then you know that the bottom of the y axis is negative and the x axis is first in the coordinate and so the first one is positive now.