Answer:
45 minutes
Step-by-step explanation:
20 miles in 150 minutes
Runner runes 6 miles.
150/20 = 7.5 minutes per mile
6 x 7.5 = 45 minutes
What percentage of the measurements in the data set lie to the right of the median? ___ % What percentage of the measurements in the data set lie to the left of the upper quartile? ___ %
To answer this question, we need to know the median and upper quartile of the data set. Once we have these values, we can determine what percentage of the data falls to the right of the median and to the left of the upper quartile.
Let's say the median of the data set is 50 and the upper quartile is 75. To find the percentage of measurements to the right of the median, we need to look at the data values that are greater than 50 and divide that number by the total number of measurements. Let's say there are 40 data values greater than 50 and a total of 100 measurements.
Then, the percentage of measurements to the right of the median would be:
(40/100) x 100% = 40%
To find the percentage of measurements to the left of the upper quartile, we need to look at the data values that are less than or equal to 75 and divide that number by the total number of measurements. Let's say there are 60 data values less than or equal to 75 and a total of 100 measurements. Then, the percentage of measurements to the left of the upper quartile would be:
(60/100) x 100% = 60%
Your answer:
1. 40% of the measurements lie to the right of the median.
2. 60% of the measurements lie to the left of the upper quartile (Q3).
To learn more about quartile : brainly.com/question/17198478
#SPJ11
A school has 160 students. Only 120 students went to a dance the school had. What percent of students went to the dance?
Answer:
75%
Step-by-step explanation:
percentage = v1 divided by v2
\(p = \frac{120}{160} = 75\%\)
Which is greater -2 1/4 or -1.9?
Answer:
-1.9 Should be correct!
Step-by-step explanation:
Answer:
-1.9
Step-by-step explanation:
because it just is ok
42 push ups in 3 minutes. Preform unit rate. How many can she do in five minutes?
Answer:
70 pushups in 5 mins.
Step-by-step explanation:
42 ÷ 3 = 14
So you can do 14 pushups in one minute.
14 × 5 = 70
good luck, i hope this helps :)
You have a balance of 17,426 on your credit card. Your minimum monthly payment is 461 . If your interest rate is 15.5%, how many years will it take to pay off your card assuming you don't add any debt? Enter your response to two decimal places (ex: 1.23)
With a credit card balance of $17,426, a minimum monthly payment of $461, and an interest rate of 15.5%, we need to calculate the number of years it will take to pay off the card without adding any additional debt.
To determine the time required to pay off the credit card, we consider the monthly payment and the interest rate. Each month, a portion of the payment goes towards reducing the balance, while the remaining balance accrues interest.
To calculate the time needed for repayment, we track the decreasing balance each month. First, we determine the interest accrued on the remaining balance by multiplying it by the monthly interest rate (15.5% divided by 12).
We continue making monthly payments until the remaining balance reaches zero. By dividing the initial balance by the monthly payment minus the portion allocated to interest, we obtain the number of months needed for repayment. Finally, we divide the result by 12 to convert it into years.
In this scenario, it will take approximately 3.81 years to pay off the credit card (17,426 / (461 - (17,426 * (15.5% / 12))) / 12).
Learn more about multiplying here:
https://brainly.com/question/30875464
#SPJ11
Find the measure of the angle, show work please! 30 points <3
Answer:
C) 26
Step-by-step explanation:
a + 32 + 85 = 180 {Sum of all angles of triangle}
a + 117 = 180
a = 180 - 117
a = 63
b = a {Vertically opposite angles}
b = 63
91 + 63 + c = 180 {Angle sum property of triangle}
154 + c = 180
c = 180 - 154
c = 26
The fuel efficiency of a car decreases as tire pressure decreases. What's the independent variable in the situation? Question 1 options: A) Fuel efficiency B) Tire pressure C) The price per gallon of gas D) The speed of the car
The independent variable in this situation where fuel efficiency of a car decreases as tire pressure decreases is the Tire pressure.
Option B is correct.
What is an independent variable?The independent variable in a research study or experiment is described as what the researcher is changing in the study or experiment
In the scenario above, the tire pressure is being intentionally varied to observe its effect on the fuel efficiency of the car.
Researchers can study the cause-and-effect relationship between variables and gain a better understanding of how different factors influence the outcome of interest, in this case, the fuel efficiency of the car through the identification and manipulation the independent variable.
Learn more about independent variable at:
https://brainly.com/question/82796
#SPJ1
DONT CLICK ON THIS IF YOUR NOT GONNA GIVE ME THE RIGHT ANSWER.
State what additional information is required in order to know that the triangles are congruent for the reason given.
Answer:
If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.
Step-by-step explanation:
I hope that helped a bit ;)
helpp ill mark u as brain list
Answer:
672 quarts in 48 hours
Step-by-step explanation:
240q : 10h
first, find the unit rate
240q : 10h
/10 /10
24q : h
now multiply by 48 to find the number of quarts made in 48 hours
24q : h
*48 *48
672 q : 48h
Answer:
240 in 10 hours
simply means 1152 in 48 hours as the no. of quarts Is directly varies with the amount of time they invest.
Step-by-step explanation:
240=10
?=48
simply cross multiply it and solve
240*48/10
=1152 ans.
hope it works
what is four times three?
Answer:
twelve
Step-by-step explanation:
Johnny brings 5 pounds of apples to soccer practice. There are a total of 16 apples in the bag. If each apple is the same size, how much does each apple weigh?
Answer:
5/16= 0.3125 lbs
Step-by-step explanation:
Answer:
the answer is 80 can i have brainlyist for answeroing first
Step-by-step explanation:
use the distributive property to expand 5(-2t+3)
Answer:
−10 + 15
Step-by-step explanation:
5(-2t+3)
−10+15
Please explain to me how to do this!
I don't have much time to get it in please help!
Answer:
y = mx + b
Step-by-step explanation:
so you first put the points on the graph and connect them with a slanted line.
Next, for your equation start of with y =
then, your going to find your slope, after you find it put it in front of x (slope x) (Ex; if the slope was 3 then it would look like this 3x)
finally you write + and the y intercept (at which point the line goes through the y axis)
the equation together should look like y = slope x + y intercept
would that many nickels fit inside the either of the two paper cylinders? a. what is the volume of a nickel in cubic millimeters? b. what is the volume of a nickel in cubic inches? c. would the nickels fit inside either paper cylinder?
To calculate the volume of a nickel in cubic millimeters, we need to determine its dimensions. A US nickel has a diameter of 21.21 mm and a thickness of 1.95 mm.
Thus, its volume can be calculated using the formula for the volume of a cylinder:
Volume = π x (diameter/2)^2 x thickness
Volume = π x (21.21/2)^2 x 1.95
Volume = 313.06 mm^3
b. To convert cubic millimeters to cubic inches, we need to divide by the conversion factor (1 inch = 25.4 millimeters)^3:
Volume in cubic inches = (313.06 mm^3) / (25.4 mm/in)^3
Volume in cubic inches = 0.0191 in^3
c. To determine if the nickels would fit inside either of the paper cylinders, we need to calculate the volume of each cylinder and compare it to the total volume of the nickels. Let's assume the cylinders have a height of 10 inches and diameters of 5 inches and 6 inches, respectively. Using the formula for the volume of a cylinder, we can calculate their volumes:
Volume of cylinder 1 = π x (5/2)^2 x 10 = 392.7 in^3
Volume of cylinder 2 = π x (6/2)^2 x 10 = 565.5 in^3
Now we can calculate the total volume of 10,000 nickels:
Total volume of nickels = (10,000 nickels) x (0.0191 in^3/nickel) = 191 in^3
Since the total volume of the nickels is less than the volume of either cylinder, all the nickels would fit inside either of the two paper cylinders.
To learn more about volume : brainly.com/question/23409099
#SPJ11
solve the equation 4x^3 + 32x^2 + 42x - 16 = 0, given that one root is equal to the sum of the other two roots
The solutions to the equation are x = -1, x = -8, and x = 1/2.
How to calculate the valueThe equation 4x³ + 32x² + 42x - 16 = 0 can be divided throuh by 2 as follows:
2x³ + 16x² + 21x - 8 = 0
We can test each of these possible roots by substituting them into the equation and seeing if we get 0. When we substitute -1, we get 0, so -1 is a root of the equation. We can then factor out (x + 1) from the equation to get:
(x + 1)(2x² + 15x - 8) = 0
We can then factor the quadratic 2x² + 15x - 8 by grouping to get:
(x + 8)(2x - 1) = 0
This gives us two more roots, x = -8 and x = 1/2.
Therefore, the solutions to the equation are x = -1, x = -8, and x = 1/2.
Learn more about equations on
https://brainly.com/question/2972832
#SPJ1
X Your answer is incorrect. ƒ' (t) Find the relative rate of change: att = 1. Assume t is in years and give your answer as a percent. f(t) f(t) = ln(t² + 4) Round your answer to one decimal place. �
The relative rate of change of the function f(t) = ln(t² + 4) at t = 1 is 40%.
To find the relative rate of change of the function f(t) = ln(t² + 4) at t = 1, we need to find the derivative of the function and evaluate it at t = 1. Let's calculate it step by step.
Step 1: Find the derivative of f(t)
Using the chain rule, the derivative of ln(t² + 4) with respect to t is given by:
f'(t) = (1 / (t² + 4)) * (2t)
Step 2: Evaluate f'(t) at t = 1
Substitute t = 1 into the derivative:
f'(1) = (1 / (1² + 4)) * (2 * 1)
= (1 / 5) * 2
= 2 / 5
Step 3: Convert the relative rate of change to a percentage
To express the relative rate of change as a percentage, multiply the value by 100:
Relative rate of change = (2 / 5) * 100
= 40%
Know more about derivative here:
https://brainly.com/question/25324584
#SPJ11
answer please i really need help if you get it right you get brainlyest
a is (4,15) and b is (8,1) what is the midpoint of AB?
Answer:
(6,8)
Step-by-step explanation:
midpoint=(x1+x2)÷2,(y1+y2)÷2
a(4,15) b(8,1)
x=4+8=12÷2=6
y=15+1=16÷2=8
Answer=(6,8)
View picture, need to know asap.
Precalc
The argument of the complex number in this problem is given as follows:
arg(z) = 210º.
What is a complex number?A complex number is a number that is composed by a real part and an imaginary part, as follows:
z = a + bi.
In which:
a is the real part.b is the imaginary part.The argument of the number is given as follows:
arg(z) = arctan(b/a).
The number for this problem is given as follows:
\(z = -\frac{\sqrt{21}}{2} - \frac{\sqrt{7}}{2}i\)
Hence the argument is given as follows:
arg(z) = \(\arctan{\left(\frac{1}{\sqrt{3}}\right)}\)
arg(z) = \(\arctan{\left(\frac{\sqrt{3}}{3}}\right)}\)
arg(z) = 180º + 30º
arg(z) = 210º.
More can be learned about complex numbers at brainly.com/question/10662770
#SPJ1
please help! Sabrina was able to map circle P onto circle R (with Q and S being on each circle, respectively) using a translation and a dilation. sabrina concluded “i was able to map circle P onto circle R using a sequence of rigid transformations and a dilation, so the figures are similar” what error did sabrina make in her conclusion?
A. sabrina used a translation, so the circles arent smaller
B. sabrina used a dilation, so the circles aren’t smaller
C. there is no error. this is a correct conclusion
hii please answer, thank you :)
Answer:
Eddie used the incorrect ratio for sin
Step-by-step explanation:
sinT = \(\frac{opposite}{hypotenuse}\) = \(\frac{UV}{UT}\) = \(\frac{8}{17}\) , then
∠ T = \(sin^{-1}\) (\(\frac{8}{17}\) )
Write an equation of the line that passes through the given point and is parallel to
the given line.
10. (14, 3); 2y - x - 8
Answer:
y = x - 23
Step-by-step explanation:
HELP!!
Uber is running a special! You pay an initial charge of $3.25 plus 1.50 per mile. Write an equation that can be used to find y, the total cost of the trip, if x represents the number of miles of the trip?
Answer:
y=1.50x+3.25
Step-by-step explanation:
Please help me I really need this
Answer:
yes
Step-by-step explanation:
A student usally saves $20 a month. He would like to reach a goal of saving $350 in 12 months the students writes the equation 350=12(x + 20) to represent this situation
Answer: x=55/6 or 55 over 6
Step-by-step explanation: Step 1: Distribute:
- 350= 12(x+20)
- 350= 12x + 240
Step 2: Subtract 240 from both sides:
- 350-240= 12x+240-240
Step 3: Simplify:
Subtract the numbers: 350-240= 12x+240-240= 110=12x+240-240
Subtract again: 110=12x+240-240= 110=12x
Step 4: Divide both sides by the same factor:
110=12x= 110/12= 12x/12
Step 5: Simplify:
- Divide the numbers: 110/12=12x/12= x=55/6=12x/12
- Cancel terms that are in both the numerator and denominator: 55/6=12x/12= 55/6=x
- Move the variables to the left: 55/6=x = x=55/6
Answer: x=55/6 or 55 over 6
A survey of business students who had taken the Graduate Management Admission Test (GMAT) indicated that students who have spent at least five hours studying GMAT review guides have a probability of 0.85 of scoring above 400. Students who do not spend at least five hours reviewing have a probability of 0.65 of scoring above 400. It has been determined that 70% of the business students spent at least five hours reviewing for the test.
Required:
a. Find the probability of scoring above 400.
b. Find the probability that a student who scored above 400 reviewed for the test.
The probability of scoring above 400 is 0.79 or 79%.
The probability that a student who scored above 400 reviewed for the test is approximately 0.753 or 75.3%.
The events are,
A = Student spent at least five hours studying GMAT review guides.
B = Student scored above 400.
Probabilities are,
Probability of scoring above 400 given that the student spent at least five hours studying GMAT review guides
P(B|A) = 0.85
Probability of scoring above 400 given that the student did not spend at least five hours studying GMAT review guides.
P(B|A') = 0.65
Probability that a student spent at least five hours studying GMAT review guides.
P(A) = 0.70
a. Find the probability of scoring above 400,
find P(B), use the Law of Total Probability,
which states that the probability of an event can be calculated by considering all possible ways the event can occur.
P(B)
= P(B|A) × P(A) + P(B|A') × P(A')
= 0.85 × 0.70 + 0.65 × (1 - 0.70)
= 0.595 + 0.195
= 0.79
b. The probability that a student who scored above 400 reviewed for the test,
To find P(A|B),
Use Bayes' theorem, which relates the conditional probabilities of two events.
P(A|B)
= (P(B|A) × P(A)) / P(B)
= (0.85 × 0.70) / 0.79
= 0.595 / 0.79
= 0.753
Therefore, the probability of scoring above 400 is 0.79 and probability of a student who scored above 400 reviewed for test is 0.753 .
Learn more about probability here
brainly.com/question/20335010
#SPJ4
A denotes an m x n matrix. Determine whether the statement is true or false Justify your answer. The row space of A^T is the same as the column space of A
Choose the correct answer below
A. The statement is false because the rows of A^T are also the rows of (A^T)^T=A
B. The statement is true because the number of pivot columns of AT is the same as the nu
C. The statement is false because the number of free variables in the equation A^Tx= 0 is
D. The statement is true because the rows of A^T are the columns of (A^T)^T=A
The statement is true because the rows of A^T are the columns of (A^T)^T=A(D)
The row space of A^T is spanned by the rows of A, which are also the columns of A^T. Therefore, the row space of A^T is the same as the column space of A.
This can also be seen from the fact that the rank of A^T is equal to the rank of A, and the dimension of the row space and column space of A are both equal to the rank of A. Thus, the statement is true.Therefore the correct answer is option D the statement is true because the rows of A^T are the columns of (A^T)^T=A.
For more questions like Columns click the link below:
https://brainly.com/question/17291724
#SPJ11
A quadratic function y = f ( x ) y=f(x) is plotted on a graph and the vertex of the resulting parabola is ( − 5 , − 4 ). What is the vertex of the function defined as g ( x ) = f ( x ) − 2 g(x)=f(x)−2?
y=f(x) has vertex (-4,6)
g(x)=-f(x-2) shifts the graph 2 units to the right, not to the left, and the graph is reflected over the x-axis
therefore the vertex is (-2,6) and the reflection over the x-axis has no affect on the vertex
State the missing angle
Answer:
100deg
Step-by-step explanation:
you can use this rule: Vertically opposite angles
OR
since all angles in a line are supplementary, the angle beside the 100deg is 80deg (180-100) and so u take 180-100 again to get the ? deg
Evaluate the expression: If x = -25 and y = 10, what is the value of x + y -10
Evaluating the expression in x = -25 and y = 10 gives the value -25.
How to evaluate the expression?Here we have the expression:
x + y - 10
And we want to evaluate it in x = -25 and y = 10, this just means that we need to replace the variables in the expression by the correspondent numbers.
Doing that we get:
-25 + 10 - 10
Now we can just simplify this expression:
-25 + 10 - 10 = -25 + (10 - 10) = -25
Learn more about expressions:
https://brainly.com/question/723406
#SPJ1