Answer:
The length of the rectangle is 37 yards, and the width of the rectangle is 17 yards.
Step-by-step explanation:
Given that the length of a rectangle is 3 yards more than twice the width, and the area of the rectangle is 54 yards, the following calculation must be performed to find the dimensions of the rectangle, knowing that the area of a rectangle arises from multiplying its base by its height:
2X + 3 + X = 54
3X + 3 = 54
3X = 54 - 3
X = 51/3
X = 17
(17 x 2) + 3 = 37
Therefore, the length of the rectangle is 37 yards, and the width of the rectangle is 17 yards.
Aisha recorded the heights, in centimetres, of some girls.
She used her results to work out the information in this table,
Least height
142 cm
Lower quartile
154 cm
Interquartile range
17 cm
Median
162 cm
Range
40 cm
Aisha drew this box plot for the information in the table.
The box plot is not fully correct.
130
140
180
190
150 160 170
Height (centimetres)
Write down the two things Aisha should do to make the box plot fully correct.
Answer:
The median is marked at 161cm instead of 162cm.
The right part of the box (the upper quartile) is marked at 172cm, while the interquartile range is 17cm, so the upper quartile should be at 154cm + 17cm = 171cm.
Median and higher quartile are the two changes that Aisha should do to make the box plot fully correct.
What is box plot?Box plot is a type of chart often used in explanatory data analysis. A graphical rendition of statistical data based on the minimum, first quartile, median, third quartile, and maximum.
For the given situation,
Least height - 142 cm
Lower quartile - 154 cm
Inter quartile range - 17 cm
Median - 162 cm
Range - 40 cm
The higher quartile can be calculated as
Higher quartile = Lower quartile + Inter quartile range
⇒ Higher quartile = [tex]154+17[/tex]
⇒ Higher quartile = [tex]171[/tex]
From the box plot shown, the values of median and higher quartile are drawn wrong.
In diagram,
The median is at 161 but it should be drawn in 162.The higher quartile is at 172 but it should be drawn in 171.Hence we can conclude that median and higher quartile are the two changes that Aisha should do to make the box plot fully correct.
Learn more about box plot here
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5. What does ARM stand for?
Answer:
Step-by-step explanation: ARM architecture
Complete the sentence.
20 is 40% of
I’m horrible at math-
Answer:
20 is 40% of 50
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
c = 20 * [tex]\frac{100}{40}[/tex] = [tex]\frac{2000}{40}[/tex] = [tex]\frac{50}{1}[/tex] = 50
PLEASE HELP!!! WILL MARK BRAINLIEST PLUS EXTRA POINTS
To complete an observation the healthcare worker needs to think about the target of the observation To complete an observation, the healthcare worker needs to think about...
A) the target of the observation, such as the patient.
B) the nature of the observation or the focus, which can be a behavioral observation or an analysis of the information gathered.
C) the aim of the observation, such as the workup.
D) the focus of the observation, such as the patient's condition.
E) the focal point of the observation, such as the patient's previous medical records.
CHECK ALL THAT APPLY
Answer:
1,2, and 4
Step-by-step explanation:
HELP PLEASEE no links
Select all the shapes that do not have perpendicular sides.
A. Square
B. Equilateral triangle
C. Rectangle
D. Right triangle
E. Acute triangle
Answer:
B) equilateral triangle
E) acute triangle
Step-by-step explanation:
simplfiy 3(4)^2 plzzz
Answer:
48
Step-by-step explanation:
0.2 MATH PROBLEM HERE!!,,,,,,,,,.
A rectangular field is 24 yards in length and 81 feet in width.
What is the area of the field in square feet?
What is the area of the field in square yards?
plzz help me i’ll give brainlest
Answer:
An octagonal prism has 10 faces.
Step-by-step explanation:
Please mark as brainliest!
would anoyone be willing to help
Sure, what do you need help with?
I am stuck on these last four questions please help if possible.
-Solving equations with variables on both sides
Answer:
Step-by-step explanation:
9). -2.2(4 - 1.9x) = 3.3(0.2x - 0.8)
-8.8 + 2.2(1.9x) = 0.66x - 2.64
-8.8 + 4.18x = 0.66x - 2.64
4.18x - 0.66x = 8.8 - 2.64
3.52x = 6.16
x = 1.75
10). 3.2(1 + 2.6x) = 2.4(x - 3.6)
3.2 + 8.32x = 2.4x - 8.64
8.32x - 2.4x = -3.2 - 8.64
5.92x = -11.84
x = 2
11). 4.6(2x - 5.5) = 3.9 + 0.8(1 + 5.5x)
9.2x - 25.3 = 3.9 + 0.8 + 4.4x
9.2x - 25.3 = 4.7 + 4.4x
9.2x - 4.4x = 25.3 + 4.7
4.8x = 30
x = 6.25
12). 0.2(3x + 2.5) - 4.9 = 3.8 - 2.2(x - 5.5)
0.6x + 0.5 - 4.9 = 3.8 - 2.2x + 12.10
0.6x - 4.4 = -2.2x + 15.90
0.6x + 2.2x = 15.90 + 4.4
2.8x = 20.30
x = 7.25
Please i need help with this
Answer:
B.
Step-by-step explanation:
Explain whether 13t−3t is equivalent to 3t−13t. Support your answer by evaluating the expressions for t=2.
Answer:
Not equivalentStep-by-step explanation:
13t - 3t = (13 - 3)t = 10t3t - 13t = (3 - 13)t = -10t10t ≠ -10tThey are not equivalent
When t = 2
13t - 3t = 13*2 - 3*2 = 26 - 6 = 203t - 13t = 3*2 - 13*2 = 6 - 26 = -20Answer:
They are not Equivalent.
Step-by-step explanation:
You can tell that they aren't by doing that equations.
13t-3t=10t
3t-13t=-10t
If you were to inert 2 into t's , spot, it still would not work.
13(2)-3(2), 26-6=20
3(2)-13(2), 6-26=-20
A credit card company decides to study the frequency with which its cardholders charge for items from a certain change of retail stores. The data values collected in the study appear to be normally distributed with a mean of 25 charged purchases and a standard distribution of 2 charged purchases. Out of the total number of cardholders about hw many would you expect are charging 27 or more in the study
Answer:
15.87% of the total number of cardholder would be expected to be charging 27 or more in the study.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 25 charged purchases and a standard distribution of 2
This means that [tex]\mu = 25, \sigma = 2[/tex]
Proportion above 27
1 subtracted by the pvalue of Z when X = 27. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{27 - 25}{2}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a pvalue of 0.8413
1 - 0.8413 = 0.1587
Out of the total number of cardholders about how many would you expect are charging 27 or more in the study?
0.1587*100% = 15.87%
15.87% of the total number of cardholder would be expected to be charging 27 or more in the study.
NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. One hundred tickets, numbered 1, 2, 3, . . . , 100, are sold to 100 different people for a drawing. Four different prizes are awarded, including a grand prize (a trip to Tahiti). How many ways are there to award the prizes if it satisfies the given conditions. The person holding ticket 47 wins one of the prizes.
Answer:
The total number of ways the person holding ticket 47 wins one of the prizes = 941,094
Step-by-step explanation:
Given - One hundred tickets, numbered 1, 2, 3, . . . , 100, are sold to 100 different people for a drawing. Four different prizes are awarded, including a grand prize (a trip to Tahiti).
To find - How many ways are there to award the prizes if it satisfies the given conditions. The person holding ticket 47 wins one of the prizes.
Proof -
The order of selection is important because 1st selection is grand prize , 2nd selection is second prize and so on . So , we use permutation for this question
Now,
As The person holding ticket 47 wins one of the prizes and other 3 prizes are also given to the remaining 99 persons who got chosen
So,
The number of ways = 1* ⁹⁹P₃
= [tex]\frac{99!}{(99-3)!}[/tex]
= [tex]\frac{99!}{96!}[/tex]
= [tex]\frac{99*98*97*96!}{96}[/tex]
= 99*98*97
= 941,094
∴ we get
Total number of ways the person holding ticket 47 wins one of the prizes = 941,094
Which chocolate chip cookies have the greater spread in the number of chips per cookie?
Regular
or
Reduced Fat
Step-by-step explanation:
18
Answer:
Reduced fat had the greater spread.
Step-by-step explanation:
(ILL MARK YOU AS BRAINLEST) The ratio of the interior angles of a triangle is 1: 1: 4 What are the angles measures? Write the angel measures from least to greatest.
Answer:
30 degrees,30 degrees120, degrees
Step-by-step explanation:
The ratio of the angles is 1:1:4.
Let’s represent the angles by 1x, 1x, and 4x.
The sum of the interior angles of a triangle is 180°.
1x + 1x +4x = 180 Combine like terms.
6 x = 180 Divide each side by 6
x = 30°
1x=1*30=30 degrees
1x=1*30=30 degrees
4x=4*30=120 desgrees
Answer:
30, 30, 120
Step-by-step explanation:
Basic properties of a triangle:
Triangles have 3 sides.The sum of the interior angles of a triangle will always be equal to 180°.The problem:
Find the angle measuresList them in least to greatestGiven information:The ratio of the angles' values are 1:1:4.To solve:
To solve this type of problem, think of the ratio as a variable, x.The ratio would be x:x:4xGiven that revised information, the sum of the interior angles is 6x.Since the sum of the interior angles of a triangle is 180°, 6x = 180°To find x as an individual value, divide both sides of the equation by 6:- 6x = 180- x = 30 Now, to find the angles' values, use the value of x in the ratio to solve:30 : 30 : 120The values of the ratio are your angles!Finally, list from least to greatest and the question is completely answered!The circumference of the base of a
5
-foot-high cylinder is
46
inches. What is the volume of the cylinder?
Answer:
V≈33238.05
Step-by-step explanation:
The circumference of the cylinder base is
= ( 2 )*(pi)*( r ) cm where r = radius of the circular base.
That is ( 2 )(pi)( r ) = ( 44 )cm or
( radius ) = [ (44/((2)(pi)) ] = ( 7.0064 )cm.
I have approximated ( pi ) as ( 3.14 ) for this calculation.
The area of the cylindrical base is ( pi )*( radius )^2
Therefore area of the base
= ( 3.14 )*( 7.0064 )^2 =( 154.1415 )cm squared.
Volume of Cylinder
Volume = Atea of the base multiplied by cylinder height or
= ( 154.1415 ) * ( 7 )
= ( 1079.0 ) cubic centimeters approximately with some slight loss inaccuracy due to rounding of pi.
Lateral Surface Area
The lateral surface area = circumference of the cylindrical base multiplied by the height of the cylinder.
= ( 44 )*( 7 ) = ( 308 ) cm squared
Inherent Assumption
It is assumed that the thickness of the cylinder material is small and the cylinder doesn't overlap the area of the base. If it did, the lateral surface area calculated here might be understated slightly.
A person had a rectangular-shaped garden with sides of lengths 16 feet and 9 feet. The garden was changed into a square design with the same areas as the original rectangular-shaped garden. How many dlfewt in length are each of the sides of the new square-shaped garden?
Answer:
144
Step-by-step explanation:
16x9
The side length of the square garden would be 12 ft.
What is a expression? What is a mathematical equation? What is the volume of a cube and a prism?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. The volume of a cube is - [V] = a x a x a- where [a] is side length of cube.
The volume of a prism is - [V] = [h] × [w] × [L]- where [h] is prism height, [w] is its width, and [L] is its length.
We have a person who had a rectangular-shaped garden with sides of lengths 16 feet and 9 feet.
The garden was changed into a square design with the same area as the original rectangular-shaped garden. Assume the side length to be [x] ft. Then, you can write -
x² = 16 x 9
x² = 144
x = 12
Therefore, the side length of the square garden would be 12 ft.
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The diameter of a circle is 86 kilometers. What is the circle's area?
use 3.14 for pi or 22/7
Please help me lol
Answer:
5808.8km
Step-by-step explanation:
pls help asap!!!! and show work if you can!! :)
Answer:
vertex is y=x squared
axis of symmetry is x=-1
parabola= (-2,0) and (-3,2)
Step-by-step explanation:
follow steps
Answer:
As per graph we have
1. Vertex is:
(-1, -1)2. Axis of symmetry is a vertical line that passes through vertex:
x = -13. Roots, the x-intercepts:
(-2, 0), (0, 0)I really need help it’s due by 12:00
Answer:
what do you do
Step-by-step explanation:
A bag contains 9 orange marbles and 36 green marbles. If a representative sample contains 2
orange marbles, then how many green marbles would you expect it to contain? Explain.
Because the ratio of orange marbles to green marbles is in the population, the expected number
of green marbles is times the number of orange marbles in the representative sample. There
should be green marbles.
Answer:
U can divide or multiply
Step-by-step explanation:
Scott paid 10.47 for a 6.08 - kg bag of dog food. A few weeks later, he paid 13.88 for a7.48 -kg bag at a different store. Find the unit price for each bag. Then state which bag is the better buy based on the unit price. Round your answers to the nearest cent.
Answer:
Scott paid $ 1.72 per kilo for the first bag, and $ 1.85 per kilo for the second bag, with which the best buy is the first bag.
Step-by-step explanation:
Since Scott paid 10.47 for a 6.08-kg bag of dog food, while a few weeks later, he paid 13.88 for a7.48-kg bag at a different store, to find the unit price for each bag, and then state which bag is the better buy based on the unit price, the following calculation must be performed:
10.47 / 6.08 = X
1.72 = X
13.88 / 7.48 = X
1.85 = X
Thus, Scott paid $ 1.72 per kilo for the first bag, and $ 1.85 per kilo for the second bag, with which the best buy is the first bag.
ZABD and ZDBC are supplementary angles.
What is the measure of x?
x = [?]°
DK
Х
AK
140°
B
>C
Angles are not drawn to scale.
Enter
Answer:
the answer would be 40
Step-by-step explanation:
supplementary angles are 180
180-140=40
x=40
all the marbles in a bag for a game two are red and three are blue Sandra will randomly choose one marble from the bag fill in the blank Parts A&B
A: the probability that Sandra would choose a red marble from the break is _ out of _ or ____ it is blank that sounds really choose a red marble from the bag
B: It is ________ that Sandra will choose a red marbLe from the bag
for parts be is it A,B,C,or D
impossible
certain
likely
unlikely
Answer:
i dont know this i will try oh i think it is c i think though
Step-by-step explanation:
i dont know this i will try oh i think it is c i think though
which is the correct graph and solution for the following system of equations y=2x+3 y=-x-6
Answer:
last graph
Step-by-step explanation:
Key
X
= -X
= 1 = -1
Which equation could represent the model?
Answer:
hey here the link it.ly/3dXyuz8
What is 12+[2-(4*a2)]÷7+b
Answer:
86 - 4a^2 + 7b over 7
Step-by-step explanation:
please assist me with these multiple choice problems
9514 1404 393
Answer:
12. C
13. D
Step-by-step explanation:
12. For interest r on principal P compounded n times per year for t years, the account balance is ...
A = P(1 +r/n)^(nt)
For P=800, r=0.05, n=365, t=6, this becomes ...
A = 800(1 +0.05/365)^2190 . . . . matches choice C
Note: if you're familiar with the formula, you will notice choice C is the only one with 'n' in the right place.
__
13. The form of an exponential function is ...
y = a·b^x . . . . . . . . where 'a' is the initial value, and 'b' is the growth factor
The form of the equation eliminates choices A and B.
Here, the initial value is 1.87, eliminating choice C.
Matching the problem statement to the form of the exponential function we see that the equation of choice D is appropriate.