Answer:
Median: 37
First quartile: 33.5
Third quartile: 40.5
Interquartile range: 7
Step-by-step explanation:
Your first step should be putting them in order from least to greatest.
27, 33, 34, 35, 37, 39, 40, 41, and 54. Now to find the median you have to find the middle which in the case would be 37. Now to find the 1st quartile u eliminate the meduan and focus on the lower half of the numbers which would be 27, 33, 34, and 35. If you numbers are even you add and divide by 2. In this case you have to add 34 and 33 and then divide by 2 since they are both in the middle. Your 1st quartile would be 33.5. To find the 3rd quartile you do the same thing as the 1st quartile. Only focus on the upper half now. add both the middles then divide by 2 since there are 2 middles. You 3rd quartile should be 40.5. To fine the inerquartile range you subtract the 1st quartile from the 3rd. so it would be 40.5-33.5 which would give you 7. If you want to fine just the range you would subtract the highest number from the lowest number.
explain how to do this please!
Answer:
The area of figure = 600 cm ²
Step-by-step explanation:
Area of this figure = area of triangle + area of rectangle
Area of triangle = 1/2 × base × height
Area of rectangle = length× breadth
=> (1/2 × 20 × 20 ) + ( 20×20 )
=> 200 + 400
=> 600 cm²
Dorothy works 40 hours per week. Her salary is $3,624.34. After deductions her pay is $2,718.26.
What is the net income?
The net income of Dorothy when she works 40 hours per week and her net pay is $2,718 monthly (4 week) is $17/ hour approximately.
How to interpret the division?When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.
Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.
Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.
Thus, [tex]a \div b = a[/tex] divided in b equal parts.
Also, we can write: [tex]a \div b = a \times \dfrac{1}{b}[/tex]
(it is since a = a times 1 so [tex]a/b = 1 \times (a/b) = (1/b) \times a[/tex])
For this case, we're given that:
Dorothy works 40 hours per weekThe final salary she gets after deduction is $2,718.26 (assuming this is monthly based salary, and each month having equal 4 weeks).Since there are 4 weeks in a month, and each week, Dorothy works 40 hours per week, so the number of hours she worked in those 4 weeks (one month work approx) is:
[tex]40+40+40+40 = 4 \times 40 = 160 \: \rm hours[/tex]
That means, Dorothy gets $2718.26 for 160 hours of work.
Thus, if we divide this salary in 160 parts equally, we'll get net hourly income of Dorothy, as shown below:
[tex]\text{1 hour's pay} = \dfrac{2718.26}{160}\approx 16.98 \approx 17 \: \rm dollars[/tex]
Thus, the net income of Dorothy when she works 40 hours per week and her net pay is $2,718 monthly (4 week) is $17/ hour approximately.
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Does anyone know this correctly?
Multiple choice questions that’s why there’s 5 pictures
Answer:
option C is the answer
Step-by-step explanation:
hope this helps you
Which three-dimensional figure has exactly three rectangular faces?
O rectangular prism
O rectangular pyramid
O triangular prism
• triangular pyramid
Answer:
Triangular prism
Step-by-step explanation:
Got it right on edge 2022 :)
The three-dimensional figure that has exactly three rectangular faces is a rectangular pyramid
What is the volume of a pyramid?The volume of a pyramid, is the product of the area of its base with the height of the pyramid, and divide by 3. We express this product with the formula V = ( 1/3) ×B×h, where B is the area of the base of the pyramid, and h is its height.
Volume of Pyramid = ( 1/3 )a²H
Given data ,
Let the pyramid be represented as A
Now , A rectangular prism has 6 faces, where each face is a rectangle.
A rectangular pyramid has 5 faces, where 4 faces are triangles and 1 face is a rectangle.
A triangular prism has 5 faces, where 2 faces are triangles and 3 faces are rectangles.
A triangular pyramid has 4 faces, where 3 faces are triangles and 1 face is a rectangle.
Hence , the only figure that has exactly three rectangular faces is a rectangular pyramid
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A sampling distribution is a distribution of
A. Data values from a single sample
B. Sample means
O c. Population data values
© D. Variances
Answer:
sample means
Step-by-step explanation:
if a clock shows it is 3 o'clock, how could you describe the smaller angle made by the two hands of the clock? Solve this problem any way you choose.
Answer: 5 1/4
Step-by-step explanation:
Answer:
90°
Step-by-step explanation:
The minutes hand is vertical pointing straight up.
The hours hand is horizontal pointing right.
The smaller angle between the hands is 90°.
500 miles in April. He drove 5 times as many r
March. He drove 3 times as many miles in May
id Mr. Anderson drive in May?
(08.01 LC)
The language arts teacher wants to know whether the students in the entire school prefer a debate or an speech The teacher draws a random sample from the
following groups
• All teachers in the school
• All boys in each grade
• All students in the speech club
• All students in each grade
Which group best represents the population she should take a random sample from to get the best results for her survey?
Answer:
All students in each grade
Step-by-step explanation:
i need help please good people
Answer:
x/x+3
Step-by-step explanation:
first off, we start by factorizing.
we start with the numerator taking x out making it x (x-3) / x^2 - 9
then we factorize the denominator a bit more...making it x (x-3) / (x-3) (x+3)
as you can tell there is a (x-3) on both sides. so we can cross them out.
x/x+3 is left. try it yourself again so you can understand other questions like this! I hope I could help!
Please let me know the answer to this 5^2+10^2=
Answer:
5^2+10^2=25+100=125
Step-by-step explanation:
Answer: 125
Step-by-step explanation: 5² + 10² = 25 + 100
Can someone please help me i need this
Answer: g + s = 698
3g = s
Step-by-step explanation:
By looking the question, we know that gold tickets and silver tickets add up to 698, so we get:
g + s = 698
And we know that silver tickets is three times of the gold tickets.
3g = s
We combined them together, we get :
g + s = 698
3g = s
Find the image of the given point
under the given translation.
P(3, -4)
T(x, y) = (x-6, y + 5)
P' = ([?], [])
27
Answer:
P' (- 3, 1 )
Step-by-step explanation:
the translation
(x, y ) → (x - 6, y + 5 )
means subtract 6 from the x- coordinate and add 5 to the y- coordinate, so
P (3, - 4 ) → P' (3 - 6, - 4 + 5 ) → P' (- 3, 1 )
In a ________, the researcher combines the actual results of a number of studies; the analysis consists of a set of statistical procedures that employ effect sizes to compare a given finding across many different studies.
In a meta analysis, the researcher combines the actual results of a number of studies.
What is the type of statistical study?Statistical study is used to obtain the data and examine this data in the way, that its effectiveness can be measured.
There are three main types of statistical study-
A. Experiment-In this type of statistical study, the observer or the researcher see the change in the variable of a study with change in other variable experimentally by providing the necessary conditions.B. Observational study-In the observational study of statistics, the value of the variables are recorded for different associates of the set.C. Survey-In the survey type of study, the data is gathered by directly asking the queries to the people regarding the study.When the researcher combines the actual results of a number of studies, then this study is called the meta analysis.
Here, in this analysis, he consists of a set of statistical procedures that employ effect sizes to compare a given finding across many different studies.
Thus, In a meta analysis, the researcher combines the actual results of a number of studies.
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The total distance in centimeters a toy robot moves varies directly with the time in seconds.
The toy robot moves a total distance of 264 centimeters in 11 seconds.
What is the time in seconds the toy robot moves when the total distance is 408 centimeters?
F 24 s
G
17 s
H
13 s
J 37 s
Answer:
17s
Step-by-step explanation:
Distance/Time = 264/11
So, in 1 second the toy robot travels 24 centimeters
408/24 = 17s
That's what I concluded with
If one leg of a right triangle is 18 units and the other leg is 24 units, what is the length of the hypotenuse (in units)?
In response to the supplied query, we may state that Therefore, the Pythagorean theorem length of the hypotenuse is 30 units.
what is Pythagorean theorem?The Pythagorean Theorem, often known as the Pythagorean Theorem, is the fundamental Euclidean geometry relationship between the three sides of a right triangle. The area of a square with the hypotenuse side equals the sum of the areas of squares with the other two sides, according to this rule. The Pythagorean Theorem says that the square that spans a right triangle's hypotenuse opposite the right angle equals the sum of the squares that span its sides. It is sometimes written as the general algebraic notation a2 + b2 = c2.
The Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two legs (the sides that create the right angle) is equal to the square of the length of the hypotenuse, may be used to determine the length of the hypotenuse (the side opposite the right angle).
In this instance, we have two legs, one measuring 18 units and the other 24 units. Let's call the hypotenuse's length "c" for short. The Pythagorean theorem may then be used to determine the value of "c":
[tex]c^2 = 18^2 + 24^2\\c^2 = 324 + 576\\c^2 = 900\\c = \sqrt(900)\\c = 30[/tex]
Therefore, the length of the hypotenuse is 30 units.
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Point A, located at (5, -4) is reflected
in the y-axis, resulting in the location of point A'. Which of the following statements
iS true?
•Point A' Is located at (-5,-4)
• Point A' Is located ot (-5,4)
• Point A is located ot (4,5)
• Point A' Is located at (-4,5)
Answer: (-5, -4)
Step-by-step explanation:
Reflection across y axis flips the sign of x coordinate only
Answer:
the other person is probably correct!
Step-by-step explanation:
Help please show a graph when you do it
Answer: you can you you side tools
Step-by-step explanation:
solve work by using square root method
[tex]~~~~(x-2)^2 = 16\\\\\implies x-2 = \pm\sqrt{16}\\\\\implies x-2 = \pm4\\\\\implies x= \pm4 +2\\\\\implies x=-4+2~~ \text{or}~~ 4+2\\\\\implies x = -2~~ \text{or}~~ 6[/tex]
Answer:
[tex]x = - 2[/tex]
[tex]x = 6[/tex]
Step-by-step explanation:
[tex](x - 2)^{2} = 16[/tex]
[tex]x - 2 = ± \: 4[/tex]
[tex]x - 2 = - 4[/tex]
[tex]x - 2 = 4[/tex]
[tex]x = - 2[/tex]
[tex]x = 6[/tex]
The number of calories C varies directly as the number of ounces N of avocado that is consumed by the body and C is 380 calories N is 20 ounces. Find C when N is 36 ounces.
Given that C varies directly as N, the value of Calories C when the number of ounces N is increased to the given value is 684 calories.
What is Proportional relationships?
Proportional relationships are relationships between two variables where their ratios are equivalent.
Direct variation equation is a linear equation in two variables.
It is expressed as;
a ∝ b then a = kb
Where k is the proportionality constant.
Given the data in the question;
Calories C = 380 caloriesNumber of ounces N = 20 ouncesSince Calories C and Number of ounces N varies directly, we find their proportionality constant.
a ∝ b then a = kb
C = kN
380 calories = k × 20 ounces
k = 380 calories / 20 ounces
k = 19 calories/ounces
Now,we find C when N is 36 ounces.
C = kN
C = 19 calories/ounces × 36 ounces
C = 684 calories
Given that C varies directly as N, the value of Calories C when the number of ounces N is increased to the given value is 684 calories.
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please help asap tysm <33333
Answer:
25 units
Step-by-step explanation:
distance = square root (-8,15)^2 (17,15)^2
M
27
1 point
The value of y is directly proportional to the value of x. If y=2/3 whenx=1/12 , what is the value of y when x = 1/2 ?
Step-by-step explanation:
Y is directly proportional to X" can be rewritten as a mathematical expression of the form Y = KX
"K" is the constant of proportionality and must be determined from the initial information.
If Y = 2/3 when X=1/12means 2/3=1/12
K = 2/3÷1/12 = 8
Now that we know the value of K, we can use it to calculate the value of Y when X=1/2
Y = (8)(1/2) = 8/2=4
Y=4
Rewrite the logarithm as a ratio of common logarithms and natural logarithms.
log8(12)
Step-by-step explanation:
Use the property of logarithm (change of base)
[tex]log_ab=log_cb/log_ca[/tex]Apply to the given logarithm, considering same natural base
[tex]log_812=ln12/ln8[/tex]The rule is
[tex]\boxed{\sf log_ab=\dfrac{log_eb}{log_ea}=\dfrac{lnb}{lna}}[/tex]
Now
[tex]\\ \rm\Rrightarrow log_8(12)=\dfrac{ln12}{ln8}[/tex]
Use the information to answer the question.
A gym offers its new customers two plans for 6-month memberships. In both plans, the first 3 hours
•
Plan A: $45. 00 per month, plus $10 per additional -Io hour of racquetball
Plan B: $75.00 per month, plus
$7.50 per additional ; hour of racquetball
Rami
plays 5 hours of racquetball per month.
How much money
will Rami save in 6 months with the
cheaper plan?
Enter the answer in the
$
Answer: A is cheaper
Step-by-step explanation: In the plan A, he pays $270( 45×6) as fee
Then $50/month for racket which is $300
total270+300=570
In plan b he pays 75 per month which is $450 and $37.5 on racket per month which is $225 making a total of $675
Difference in 6months is 675-570= $105 saved
Answer: 105
Step-by-step explanation:
did test
Find the missing side to the nearest tenth.
***Numerical answer only!
А
с
5
с
4
B
Answer:
6.4
Step-by-step explanation:
The hypotenuse of a right triangle can be found from the other two sides by making use of the Pythagorean theorem. It tells you the square of the hypotenuse is the sum of the squares of the other two sides:
c² = 4² +5²
c² = 16 +25 = 41
c = √41 ≈ 6.4
The missing side length is about 6.4 units.
ed galaxy perimeter
Answer:
53 mm
Step-by-step explanation:
Perimeter is the sum of the lengths of all its sides.
Let the length of the unknown side be x mm.
123= 25 +45 +x
x= 123 -25 -45
x= 53
Thus, the unknown side is 53 mm.
A cone is stacked on top of a cylinder. they both share a circular base. the total height of the composite figure is 20. the height of the cylinder is 11 and the diameter is 12. what is the volume of the composite figure? use 3.14 for π and round the answer to the nearest tenth of a cubic unit. 753.6 in.3 904.3 in.3 1,582.6 in.3 1,997.0 in.3
Answer:
it is C
Step-by-step explanation:
got it right on edge
Answer:
1,582.6 in.3
Step-by-step explanation:
A force of 61 N is applied to an area of 750 cm2. Calculate the pressure in N/m2. Give your answer to the nearest integer
Answer:
813 N/m²
Step-by-step explanation:
The units of pressure tell you it is found by dividing force by area. Here, we need to convert the units of the given area so we can express the pressure appropriately.
__
pressure = force / area
pressure = (61 N)/(750 cm² × ((1 m)/(100 cm))²) = (61 N)/(0.0750 m²)
pressure ≈ 813 N/m²
Hello! Can someone help me, please? Thank you so much!!!
Nick has 5, 10, 20, 50 cent coin in his pocket.
He accidentally takes 2 coins out of his pocket. Calculate the possibility of the sum of the two coins that he has taken out being 25 cents.
Answer:
possibility is 1 in 6
Step-by-step explanation:
combinations of 2 coins are
5/10 , 5/20 , 5/50 → 3 possibles
10/20 , 10/50 → 2 possibles
20/50 → 1 possible
there are 6 possible combinations of the 2 coins
the only possible combination for 25 cents is 5/20
thus the possibilty of 2 coins summing to 25 cents is 1 in 6
what attributes were used to organize these 2 shapes
I am giving brainliest 1st person to answer