Using the median concept, it is found that the interquartile range of Sara's daily miles is of 21 miles.
What are the median and the quartiles of a data-set?The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.The first quartile is the median of the first half of the data-set.The third quartile is the median of the second half of the data-set.The interquartile range is the difference of the quartiles.The ordered data-set is given as follows:
65, 72, 86, 88, 91, 93, 97
There are 7 elements, hence the median is the 4th element, of 88. Then:
The first half is 65, 72, 86.The second half is 91, 93, 97.Since the quartiles are the medians of each half, the have that:
The first quartile is of 72 miles.The third quartile is of 93 miles.The interquartile range is of 93 - 72 = 21 miles.More can be learned about the median of a data-set at https://brainly.com/question/3876456
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Grayson buys milk and oranges at the store.
• He pays a total of $40.68.
.
• He pays a total of $2.52 for the milk.
• He buys 8 bags of oranges that each cost the same amount.
How much does each bag of oranges cost?
Answer: 4.77
Step-by-step explanation:
40.68-2.52=38.16/8=4.77
This is what I do :
40.68 - 2.52 = 38.16
38.16 ÷ 8 = 4.77
Each bag of oranges costs $4.77
fully simplify 7h² + 2h + 5 - h² + h
Answer:
6h² + 3h + 5
Step-by-step explanation:
7h² + 2h + 5 - h² + h
= 7h² - h² + 2h + h + 5
= 6h² + 3h + 5
Flo sets a goal of walking 12,000 total steps per day. flo's normal routine involves walking 6,000 steps per day. if flo walks 100 steps per minute, how many extra minutes should she walk per day beyond her normal routine?
Flo should walk 60 extra minutes of time per day to accomplish her goal of walking 12,000 total steps per day.
Calculating the Time for Which Flo Walks Each Day
Flo walks 6,000 steps per day.
She walks 100 steps per minute.
⇒ Time taken by Flo to cover 6,000 steps = [tex]\frac{6000}{100}[/tex] minutes
⇒ Time taken by Flo to cover 6,000 steps, m₁ = 60 minutes
Hence, Flo walks for 60 minutes or 1 hour per day.
Calculating the Extra Hours of Walking
Steps to be covered by Flo each day = 12,000
Time required to walk 12,000 steps per day, m₂ = [tex]\frac{12000}{100}[/tex] minutes
⇒ m₂ = 120 minutes
Extra hours of walk per day = (m₂-m₁) minutes
= (120 - 60) minutes
= 60 minutes
Thus, Flow should walk 1 hour extra to be able to accomplish a goal of walking 12,00 steps per day.
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help I can't find the correct equation for this transformation
The correct equation for this transformation is given as (x, y) ⇒ (x - 9, -(y + 2))
What is a transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
Translation is the movement of a point either up, down, left or right on the coordinate plane.
The graph of √(5x - x²) was translated 9 units left and 2 units up, then reflected over the x axis to get the new graph.
The correct equation for this transformation is given as (x, y) ⇒ (x - 9, -(y + 2))
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ΔTUV∼ΔMLV
Two similar obtuse triangles. Triangle TUV and triangle MLV. Horizontal segment TL contains point V. The length of side TV is 28. The length of side UV is 16. The length of side LV is 56. The length of side MV is unknown and is labeled x.
Answer:
98
Step-by-step explanation:
From the statement of similarity, we can write this proportion.
TV/MV = UV/LV
28/x = 16/56
16x = 28 × 56
x = 7 × 14
x = 98
Simplify [4 -⅓ ( 64 ⅓ - 64 ⅔) ]
Answer:
-3*4^2/3.
Step-by-step explanation:
[4 -⅓ ( 64 ⅓ - 64 ⅔) ]
= 1/4^1/3 ( 4 - 4^2)
= 1 / 4^1/3 * -12
= -12/ 4^1/3
= -12 * 4^2/3 / 4
= -3*4^2/3
I need help with things ill give u points
Answer:
012
Step-by-step explanation:
please mark brainliest if correct
translate triangle P by the vector (2 -7)
The transformation rule for triangle P by translating using the vector [tex](^{\ 2}_{-7})[/tex] is (x, y) ⇒ (x + 2, y - 7)
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and dilation.
The transformation rule for triangle P by translating using the vector [tex](^{\ 2}_{-7})[/tex] is (x, y) ⇒ (x + 2, y - 7)
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What is the length of segment AC?
11
11.4
13
5.7
Answer:
B. 11.4
Step-by-step explanation:
By using the line segment formula
AC = √(9-(-2)^2+(2-5)^2
AC = √130
AC = 11.4
The Theater Club draws a tree on the set background. The plan for the size of the tree is shown below. What is the approximate area they will
have to paint to fill in this tree?
5 ft
3 ft
0.2 ft
The top of the tree is a triangle. Its area is approximately ft².
The second layer of the tree is a trapezoid. Its area is approximately
The trunk of the tree is a rectangle. Its area is approximately
The total area of the tree is approximately
ft².
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Reset
ft².
ft².
Next
The area of the triangle, trapezoid, rectangle and total area are 7. 5 ft², 10. 5 ft², 0.8 ft² and 18. 8 ft² respectively.
How to determine the area1. Area of a triangle = 1/2 base × height
Area = 1/2 × 5 × 3
Area = 1/2 × 15
Area = 7. 5 ft²
2. Area of trapezoid = [tex]\frac{a + b}{2} h[/tex]
a = 4ft
b = 0. 2ft
h = 5ft
Area = [tex]\frac{4 + 0.2}{2}* 5[/tex]
Area = [tex]\frac{4.2}{2} * 5[/tex]
Area = 2.1 × 5
Area = 10. 5 ft²
3. Area of rectangle = length × width
Area of rectangle = 0. 2 × 4
Area of rectangle = 0. 8 ft²
4. Total area of tree = area of triangle + area of trapezoid + area of rectangle
Total area of tree = 7. 5 + 10. 5 + 0. 8
Total area of tree = 18. 8 ft²
Thus, the area of the triangle, trapezoid, rectangle and total area are 7. 5 ft², 10. 5 ft², 0.8 ft² and 18. 8 ft² respectively.
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Find the 17th term of Arithmetic progression(A.D):-6,-1,-4
Answer:
58 is the 17th term of the given arithmetic progression.The 17th term of the given Arithmetic progression -6,-1,-4 will be 74.
What is Arithmetic progression?The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).
The arithmetic progression has wider use in mathematics for example sum of natural numbers.
Natural number = 1,2,3,4,5,6,7,8...
As per the given Arithmetic progression,
-6, -1, -4.
First term a = -6
Common difference d = -1 - (-6) = 5
The nth term of AP is given as a + (n - 1)d.
This 17th term will be as, -6 + (17 - 1)5
⇒ -6 + 16 × 5 = 74
Hence "The 17th term of the given Arithmetic progression -6,-1,-4 will be 74".
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5. Greg used a sensor to measure the speed of a moving car at different
times. At each time, the sensor measured the speed of the car in both
miles per hour and kilometers per hour. The table below shows her results.
Based on the results, which statement describes the relationship between
the m, speed of the car in miles per hour, and k, the speed of the car in
kilometers per hour?
The relationship is not proportional because the distance of m to k is constant.
The relationship is proportional because the difference of m to k is constant.
The relationship is proportional because the ratio of m to k is constant.
The relationship is not proportional because the ratio of m to k is constant.
This is the table
The correct option regarding whether the table represents a proportional relationship is:
The relationship is proportional because the ratio of m to k is constant.
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
In this problem, the ratio of m to km is given as follows:
k = 11/17.699 = 26/41.834 = 34/54.706 = 0.6215.
Since the values are equal, the correct option is:
The relationship is proportional because the ratio of m to k is constant.
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please please help meee!!!
What trigonometric function should be used when the opposite and adjacent side of
a triangle are known?
a) CSC
b) tan
c) tan^-1
d) sin^-1
e) sin
f) cos^-1
g) COS
h) sec
Using relations in a right triangle, the trigonometric function that should be used is given by:
b) tan.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.Hence, if the opposite and adjacent side are know, the tangent function should be used, and option b is correct.
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Area =
Help me please thank :)
Answer:
12
Step-by-step explanation:
B x H x 1/2 = area of a triangle
we can break this figure into 4 different triangles and since we have the length of the chords (dotted lines) in the diamond we can easily solve it.
half of QS is 2 and half of PR is 3
2 x 3 = 6
6 / 2 = 3
since there are four triangles multiply 3 by 4 (3 x 4)
and you get 12.
If f(x)=x²-1, and
g(x)=x+2, then
Answer:
f(g(x) = 1x² + 4x + 3
Explanation:
Question: f(g(x))
Given following:
f(x) = x² - 1g(x) = x + 2While solving such function questions, solve from right to left.
⇒ f(x + 2)
⇒ (x + 2)² - 1
⇒ x² + 4x + 4 - 1
⇒ x² + 4x + 3
Suppose a large shipment of laptop computers contained 15% defectives. If a sample of size 294 is selected, what is the probability that the sample proportion will be less than 14%
Using the normal distribution, it is found that there is a 0.3156 = 31.56% probability that the sample proportion will be less than 14%.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].The proportion and the sample size are given, respectively, by:
p = 0.15, n = 294
Hence the mean and the standard error are given, respectively, by:
[tex]\mu = p = 0.15[/tex][tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.15(0.85)}{294}} = 0.0208[/tex]The probability is the p-value of Z when X = 0.14, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.14 - 0.15}{0.0208}[/tex]
Z = -0.48
Z = -0.48 has a p-value of 0.3156.
0.3156 = 31.56% probability that the sample proportion will be less than 14%.
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subtract 6x 2 −7x−2 from 6x^{2}-2x+6
Hello
6x² - 2x + 6 - (6x² - 7x - 2)
= 6x² - 2x + 6 - 6x² + 7x + 2
= 5x + 8
In the figures below show a similar shape, how long is the side 7x - 5 ?
Answer:30
Step-by-step explanation:
To solve the problem, I will have to solve the equation for the first shape.
5^2 + 4^2 = 25 + 16 = 41
The second shape seems to be 2.5 times bigger than the first shape.
7x - 5 + 24 = 102.5
+5 +5
7x + 24 = 107.5
-24 -24
7x = 83.5
7 7
x = 11.9285714286
x = 11.9^2
11.9^2 = 141.61
Looking at the angles we know, there's a 4 and a 24 so the second shape is 6 times larger than the first shape. There's also a 5 which means the solution to the problem, 7x - 5, should be 30.
7x - 5 = 30
+5 +5
7x = 35
7 7
x = 5
6. It takes a delivery truck 2 hours to travel 70 km to deliver a new fridge. The truck drives part of
the way on the highway at 80 km/h and the rest on city roads in traffic at only 20 km/h. (6 marksT)
a) How far did the truck travel on each road?
4
Answer:
40 km on the highway
30 km on the city roads
Step-by-step explanation:
Let x = highway
Let y = city road
The time formula: time = distance / speed.
1) Since we do not know the distance travelled on the highway and city roads but we do know the total time taken, we can say x + y = 70. Set the distances x and y and all equated to 2 hours, since we do not know them, nor do we know the time. This is called a system of equations.
x + y = 70
x/80 + y/20 = 2
2) Solve the system of equations using substitution.
x = 70 - y
---------------
70 - y/80 + y/20 = 2
70 + 3y/80 = 2
y = 30
---------------------------------
x + 30 = 70
x = 70 - 30
x = 40
Therefore, the delivery truck travelled 40 km on the highway and 30 km on the city roads.
What is the value of x in the triangle? A.
B.
C.
D.
E.
Find the y-intercept of the line by substituting 0 in for x and solving for y. y = 4x -12
Answer:
y-intercept = -12
Step-by-step explanation:
The y-intercept is the "y" value when x = 0. You can find the y-intercept by plugging 0 into the equation and simplifying.
y = 4x - 12 <----- Original equation
y = 4(0) - 12 <----- Plug 0 in "x"
y = 0 - 12 <----- Multiply 4 and 0
y = -12 <----- Subtract 12 from 0
HELP QUICKLY! Find the missing length indicated.
Answer:
2
Step-by-step explanation:
Let the missing length be " x ".
( 3 + 1 ) / 6 = x / 3
4 / 6 = x / 3
Cross multiply,
x * 6 = 4 * 3
6 = 2 * 3
4 = 2 * 2
x * 2 * 3 = 2 * 2 * 3
Divide 2 * 3 on both sides,
x = 2
Which function is shown in the graph?
O f(x)=1090.2*
O f(x) = log₂x
O f(x) = log₁x
O f(x) = log₁0x
The next Answers are x > 0, and all real numbers
The correct function shown in graph is,
⇒ f (x) = log₁₀ x
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The graph of the function is shown in figure.
Now, Points on the graph are (1, 0) , (5, 1) and (0.2, -1)
Hence, From the option 4;
⇒ f (x) = log₁₀ x
Put x = 1;
⇒ f (x) = log₁₀ 1
⇒ f (x) = 0
Thus, The correct function shown in graph is,
⇒ f (x) = log₁₀ x
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Sally is driving at 30 miles an hour on the Freeway. The next town Sally will reach is 20 miles away. How long will it take Sally to get to the next town
Sally to get to the next town in 2/3 hour.
According to the statement
The distance covered by sally to get next town is 20 miles
Speed at which sally drive is 30 miles per hour
We know that the
TIME = DISTANCE / SPEED
Substitute the values in it and
TIME = 20 / 30
TIME = 2/3 hour
So, Sally to get to the next town in 2/3 hour.
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Suppose you have only $20 to spend on gasoline each week. If the price of gasoline is $2 a gallon how many gallons can you purchase
You can purchase 10 gallons of Gasoline.
We have only $20 to spend on gasoline each week. If the price of gasoline is $2 a gallon
Here, we have $20
Cost per gallon $2
Number of gallons: 20/2 =10 gallons
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anybody can help me?
Graph C depicts the relation between No. of sweaters ( Nombre de chandails vendus ) and the fund raised in the campaign (Campagne de financements )
What is a Graph ?Graph is the statistical representation of data , It helps to observe large data systematically.
It is given that
Sale of one sweater gives $3
The relation between the amount raised for funding , M and the number of shirts sold , n is given by
M = 3n
It has to be found that which graph exactly depicts the relation and the condition as given
Graph C depicts the relation given as , The graph is between No. of sweaters ( Nombre de chandails vendus ) and the fund raised in the campaign (Campagne de financements ) , and for every 100 sweater , $300 is earned .
Therefore Graph C is the answer.
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expand -2/20 (1 - 2x + 2)
The expansion of the expression is [tex]\frac{4x - 6}{20}[/tex]
How to expand the expressionGiven the expression;
-2/20 (1 - 2x + 2)
= [tex]\frac{-2}{20}[/tex] × (1 -2x +2 )
Open up the bracket by multiply with -2, we have
= [tex]\frac{-2 + 4x -4}{20}[/tex]
Collect like terms in the numerator
= [tex]\frac{4x - 6}{20}[/tex]
Thus, the expression of the expression is [tex]\frac{4x - 6}{20}[/tex]
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Using a stopwatch, Tyrone determines it takes him 58.2 minutes to travel 30 miles to work. The stopwatch measures to hundredths of a minute. Going by the accuracy of the stopwatch, which is the most accurate determination for the number of feet per second Tyrone traveled on his way to work?
The number of feet per second Tyrone traveled on his way to work is 45.36 ft/s
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
1 mile = 5280 ft, 1 min = 60 sec
30 mile = 30 mile * 5280 ft per mile = 158400 ft
58.2 min = 58.2 min * 60 sec per min = 3492 sec
Speed = distance / time = 158400 ft / 3492 sec = 45.36 ft/s
The number of feet per second Tyrone traveled on his way to work is 45.36 ft/s
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Raymond spent $125.00 on a limousine for the prom. About how much should he give the driver for a 20% tip? $18.75 $25.00 $20.00 $6.25
Answer:
$25.00
Step-by-step explanation:
20% of $125 = $25
can some body help me for this problem, and thanks for the help
The exponent is greater than 1 so it is exponential growth, 500 in the equation represents the initial value, and the growth rate in the second equation is 6%.
What is exponential decay?During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.
We have an exponential function:
[tex]\rm b_1(t) = 500(1.6)^t[/tex]
a) As the base of the exponent is greater than 1 so it is exponential growth.
b) 500 in the equation represents the initial value.
c) We have another exponential equation:
[tex]\rm b_2(t) = 800(1.6)^t[/tex]
For exponentikal gropwth:
1 + r = 1.6
r = 0.6 or
r = 6%
In the equation:
[tex]\rm b_1(t) = 500(1.6)^t[/tex]
The number of bacteria initially was 500 and from the second the number of bacteria initially was 800.
Thus, the exponent is greater than 1 so it is exponential growth, 500 in the equation represents the initial value, and the growth rate in the second equation is 6%.
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