The MATHCOUNTS International airport had the mean number of seconds between departure time of 43 seconds in 2001.
For given question,
In 2001 there were 738,114 departures.
As we can see, 2001 was not a leap year.
So, the number of days in 2001 = 365
We find the number of departures per day in 2001.
738,114 / 365 = 2,022.23
So, approximately 2,022 departures per day.
Now we find the number of departures in an hour.
2,022 / 24 = 84.25
This means, approximately 84 departures per hour
We know that, 1 hour = 3,600 seconds
Now we find the mean number of seconds between departure time.
3,600 / 84 = 42.8
≈ 43 seconds
Therefore, the MATHCOUNTS International airport had the mean number of seconds between departure time of 43 seconds in 2001.
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In November 2010 the average cost of 5 gallons of regular unleaded gasoline in the U,S. was $14,46. What was the average cost for 16 galions
The average cost for 16 gallons is $46.272
How to calculate the cost of 16 gallons ?The first step is to calculate the price of one gallon
5= 14.46
1= x
cross multiply
5x= 14.46
x= 14.46/5
x= 2.892
The price of 16 gallons can be calculated as follows
= 16 × 2.892
= 46.272
Hence the price of 16 gallons is $46.272
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0.3. human iq scores are approximately normally distributed with a mean of 100 and a standard deviation of 15. the minimum iq score for the top 10% of the population.
According to the given information The highest 10% of the population's IQ is 0.0179.
Describing Standard deviation:The root of the variability in the given group as well as ungrouped data is referred to as the standard deviation. The standardized value is the value left after subtracting the mean and dividing by the standard deviation.
z = (x- μ) / σ
x denotes the observations (a specific value that you are calculating the z-score for).
Mu(μ) is the mean.
Sigma(σ) denotes the standard deviation.
According to the given data:x = 131.5
μ = 200
σ = 15
So, when humans apply the values to the formula, we obtain,
=> z = 131.5 - 100 /15
=> z = 2 .10
Using table A-2, calculate the corresponding probability:
=> P(Z>2.10) = 1 − P(Z<2.10)
=> 1 − 0.9821
=> 0.0179
The top 10% of the population has a required IQ of 0.0179.
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A student ran a distance of 3 miles each day for 5 days. Then the student ran a distance of
4 miles each day for the next 5 days.
What was the total distance in miles the student ran during these 10 days?
4
th
Answer:
40
Step-by-step explanation:
If the student ran 4 miles for 5 days multiply 4 by 5 and you get 20. Then just do the same thing for 5 more days. Also, 20. Then add 20 + 20 and you get 40
what is the mean of 76,88,100,75,95,100
Answer:89
Step-by-step explanation:add them all together and divide by however many numbers you have
Answer:
Hello, Hope your having a good day
Step-by-step explanation:
your Question; what is the mean of 76,88,100,75,95,100
The mean is 89
Median: 91.5
Mode: 100
What is a mean?
The mean of a data set is commonly known as the average. You find the mean by taking the sum of all the data values and dividing that sum by the total number of data values.
Hope this helped :)
pls like
(d² + 14d + 5) + (d - 4)
Answer:
d^2+15d+1
Step-by-step explanation:
group like terms
d^2+14d+d-4+5
simply like terms
d^2+15d+1
however, the answer is d^2+15d+1
Fill in the blanks of the number line
Step-by-step explanation:
The line should go: 0, 1/3, 2/3, 1, 1 1/3, 1 2/3, 2 or 0, 0.33, 0.66, 1, 1.33, 1.66, 2 depending on how it's needed (decimals repeating)
Solve the equation. Show all steps of your work and justify each step with an algebraic property of equality.
5=3x-1/4
Answer:
1 3/4
Step-by-step explanation:
so the question will be done like this
5 =3x-1/4
The (-1/4) will go to the other side where 5 is and the equation becomes
5+1/4=3x which will be
7/4=3x hence you divide both sides by 3 to get the value of x as 1 as the whole number and 3/4 as the remainder
Answer:
x = 7
Step-by-step explanation:
[tex]5=\frac{3x-1}{4}[/tex]
multiply both sides by 4 (Multiplication property of equality)
[tex]20=3x-1[/tex]
add both sides by 1 (Addition property of equality)
[tex]21=3x[/tex]
divide both sides by 3 (Division property of equality)
[tex]7 = x[/tex]
switch sides (Symmetric property of equality)
[tex]x=7[/tex]
A certain group of test subjects had pulse rates with a mean of beats per minute and a standard deviation of beats per minute. Use the range rule of thumb for identifying significant values to identify the limits separating values that are significantly low or significantly high. Is a pulse rate of beats per minute significantly low or significantly high?.
Answer: is this it?
Step-by-step explanation:
Determine whether the statement is true or false if x=8, y=2 , and z=3 .
2 x=3 y z
Given that x = 8, y = 2, and z = 3, the equation 2x = 3yz is false.
An expression is a number, variable or the combination of both put together by operation symbols while an equation is a statement that shows that two expressions are equal and is separated by an equal sign "=".
To check if the equation 2x = 3yz is true when x = 8, y = 2, and z = 3, plug in or substitute the value of each variable to the equation and evaluate.
2x = 3yz
2(8) = 3(2)(3)
16 ≠ 18
Since 16 is not equal to 18, the given values do not satisfy the equation, then the statement is not true.
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Taylor bought a watch on sale for 60% off the original price, and another 10% off the discounted price. If the watch originally cost $82, What was the final sale price?
Answer: $29.52
Step-by-step explanation: 82x0.6=49.2 82-49.2=32.8 32.8x0.1=3.28
32.80-3.28=29.52
16x + 9 = 9y - 2x
need the step and answer.
The solution for x and y for the given expression are :
x =1/2y + −1/2 and y=2x+1 respectively.
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
Here, the given equation is : 16x + 9 = 9y - 2x
Now,
solving for x :
16x+9=9y−2x (Add 2x to both sides.)
16x+9+2x=−2x+9y+2x
18x+9=9y
18x+9+−9=9y+−9 (Add -9 to both sides)
18x=9y−9
18x/18 = 9y−9/18 (Divide both sides by 18.)
x =1/2y + −1/2
solving for y :
16x+9=9y−2x
−2x+9y=16x+9 (Flip the equation.)
−2x+9y+2x=16x+9+2x (Add 2x to both sides.)
9y=18x+9
9y/9=18x+9/9 ( Divide both sides by 9.)
y=2x+1
Therefore, the solution for x and y for the given expression are :
x =1/2y + −1/2 and y=2x+1 respectively.
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There are 100 centimeters in 1 meter. How many square centimeters are there in
1 square meter? Explain how you found your answer.
5. Which equation's line is steeper and explain how you know
A. y = 3x + 7
B. y=x+9
Answer:
Step-by-step explanation:
A, because the slope 3 is larger than a slope of 1.
Equation A's line is steeper than equation B's line because it has a higher slope.
To determine which equation's line is steeper, we need to compare their slopes. In both equations, the coefficients of the x term represent the slope of the line.
Let's first rewrite both equations in slope-intercept form, which is of the form y = mx + b, where "m" is the slope and "b" is the y-intercept:
A. y = 3x + 7
B. y = x + 9
In equation A, the coefficient of x is 3, which means the slope of the line is 3.
In equation B, the coefficient of x is 1, which means the slope of the line is 1.
Now, to compare the slopes, we can see that the slope of equation A (3) is greater than the slope of equation B (1).
This means that the line represented by equation A is steeper than the line represented by equation B.
Hence, equation A's line is steeper than equation B's line because it has a higher slope.
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if the length of a rectangle is (x-6) the width is (x-2) and the height (x-1), write a polynomial that is the volume of the rectangle. what if the volume is 60?
Answer: x3+5x2+6x
Hope this helps
can anyone solve 2x-2 <6
Answer:
x<4
Step-by-step explanation:
Hello,
[tex]2x - 2 < 6[/tex]
[tex]2x < 6 + 2[/tex]
[tex]2x < 8[/tex]
[tex] \frac{2x}{2} < \frac{8}{2} [/tex]
[tex]x < 4[/tex]
Find the midpoint of the points
Answer: Midpoint=(-3, -5 1/2)
Step-by-step explanation: Using the midpoint formula (x1+y1)/2, (x2+y2)/2 we can calculate. (-2+-4)/2, (-4+-7)/2 The answer (-3, -5 1/2)
a student performed the following steps to find the solution to the equation . where did the student go wrong? step 1. factor the polynomial into (x 8) and (x – 6) step 2. x 8
The student is wrong in the steps of the factorization.
What do you mean by factorization in polynomial?Factorization of polynomials, also known as polynomial factorization, is a mathematical and computer algebraic technique that combines irreducible factors with coefficients in the same domain to produce a polynomial with coefficients in a particular field or in integers. A polynomial with coefficients in a certain field or in integers is expressed as the product of irreducible factors with coefficients in the same domain in mathematics and computer algebra, which is known as polynomial factorization. A polynomial can be expressed as the product of its factors, where the components must have a degree that is less than or equal to the original polynomial.
The equation is given as:
x^2 + 2 x - 48 = 0
Expand the equation
x^2 + 8x - 6x - 48 = 0
Factorize the equation
x(x + 8)- 6(x + 8)
Factor out x + 2
(x + 8)(x - 6) = 0
The above means that the factored equation of x^2 + 2x - 48 = 0 is (x + 8)(x - 6) = 0
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some aspects of the spline smoothing approach to non-parametric regression curve fitting (with discussion).
Regression without parameters using smoothing splines A scatterplot's data is smoothed by fitting a smooth curve to it. Will initially concentrate on two variable issues: OneX Yand Will eventually include more than two predictors. Our example: Where "1; "1;::: "are independent from me," yi=f(xi) + I.
What is a non-parametric regression?The appealing, adaptable, and widely-used method of non-parametric regression uses cubic splines for curve estimation. Although the fundamental concept was developed many years ago, the approach is maybe not as well recognized or used as it could be. This paper's topics and examples are meant to increase comprehension and broaden the applicability of the spline smoothing technology. The fundamentals of the method, its relationship with moving averages and other smoothing techniques, the automatic selection of the degree of smoothing, and the use of residuals for model adaption and diagnostic testing are just a few of the specific topics covered. A finite-dimensional Bayesian framework is used to address the issue of offering inference areas for curves and for pertinent curve attributes.
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Solve by Elimination Algebra 2 A park charges $10 for adults and $5 for kids. How many adult tickets and kid tickets were sold, if a total of 524 tickets were sold for a total of $3860 There were _ adults and _ kids tickets sold
Answer:
There were 248 adult tickets and 248 kid tickets.
Step-by-step explanation:
a = number of adult tickets
k = number of kid tickets
a + k = 524 10a + 5k = 3860
Multiply the equation on the right all the way through by -5 so that we can eliminate the k's when we add the equations together.
-5(a+ K) = 524(-5)
-5a - 5k = -2620
Add the two equations together:
-5a - 5k = -2620
10a + 5K = 3860
5a = 1240 Divide both sides by 5
a = 248 There are 248 adult tickets. Plug in 248 for a in either of the original equations.
a + k = 524
248 + k = 524 Subtract 248 from 524 to find the number of kid tickets.
There are 276 kid tickets.
Check:
Plug in 276 for k and 248 for adult to both equations to see if they work
a + k = 524
248 + 276 = 524
524 = 524
10a + 5k = 3860
10(248) + 5(276) = 3860
2480 + 1380 = 3860
38060 = 3860
in a recent study on the effects of sleep and test results, volunteers took a math test. the volunteers who had 8 hours of sleep were three times more likely to answer questions correctly on the math test than were sleep-deprived volunteers. complete parts a through d.
The test results of the study's subjects serve as the sample.
The portion of the population from which data was actually gathered is known as a sample.
Sample = Hours of sleep and maths test score of the volunteers that were included in the study.
How is a sample related to a population?A population is the total group about which you want to draw conclusions. A sample is the specific group from which you will collect data. Always, the sample size is less than the whole population.
A population in research doesn't usually refer to humans. It can refer to a collection of whatever you desire to study, including things, occasions, groups, nations, species, and animals.
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.
Please help! I need help hurry please
Answer:
Step-by-step explanation:
f(x)=x^2+1
f(x^2+1)
f(x^2+1):x^4+2x^2+2
f(f(x))=x^4+2x^2+2
2nd answer
Hope this helps!^^
Hello! :) Pls help me with this math question :)) I want 5 halves of a cupcake for myself, 2 halves for my friend and 1 half for our other friend, FrostingTower would be great. Pls help!!! Ty :>
The total cupcakes that are needed will be 9 1/2.
How to calculate the fraction?The fraction needed for yourself = 5 1/2
The fraction needed for your friend = 2 1/2
The fraction needed for your other friend = 1 1/2
The total fraction needed will be:
= 5 1/2 + 2 1/2 + 1 1/2
= 9 1/2
Therefore, the cupcakes that are needed will be 9 1/2.
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I want 5 halves of a cupcake for myself, 2 halves for my friend and 1 half for our other friend. What is the total needed?
The water depth in a harbor rises and falls over time. the function f(t) = 4.1 sine (startfraction pi over 6 endfraction t minus startfraction pi over 3 endfraction) 19.7 models the water depth, in feet, after t hours. during the first 24 hours, at what times does the water depth reach a maximum? at 5 and 17 hours at 11 and 23 hours at 2, 8, 14, and 20 hours at 5, 11, 17, and 23 hours
Answer:
Step-by-step explanation:
A function assigns the value of each element of one set to the other s/p
A side of the triangle below has been extended to form an exterior angle of 147°. Find
the value of x
Answer:
X+90 = 147 ( sum of two interior angles equals opposite/adjacent exterior angle)
X = 147 - 90
X = 57
Answer:b
eez nuts srry
Step-by-step explanation:
How many numbers between two and fifty are
divisible by three?
Answer:
18
Step-by-step explanation:
because i smart it's will be 18
1,889 divided by 4 pls help !!
Answer:
472.25
Step-by-step explanation:
1,889 divided by 4 = 472.25
you need a calculator haha
472.25
Convert 0.000 000425 to Standard form
Answer: 4.25
x
10
−
4
Step-by-step explanation:
Answer:
4.25x10^-9
Step-by-step explanation:
Stephen and Paul each purchased a movie ticket at AMC Theatres for $11.00 each. Both bought a drini from the concession stand. Stephen used a $5.00 off coupon that he received in the mail. After using the coupon, their total cost before tax was $29.18. Write an equation that can be used to determine the cost of one drink.
The equation that can be used to determine the cost of one drink is d = $12.8 / $2.
What is the equation?The total amount that is paid by Stephen and Paul is the sum of the total cost of the movie tickets, the cost of the drinks less the cost of the coupon.
Total amount paid = cost of two tickets + cost of the two drinks - coupon
($11 x 2) + ($d x 2) - $5 = $29.18
$22 + $2d - 5 = $29.18
$2d = $29.18 + $5 - $22
$2d = $12.18
d = $12.8 / $2
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Given that Sin A=Cos (A + 20).
Find the value of A
The value of A is 35.
How to solve trigonometry?The given expression is as follows:
sin A = cos (A + 20)
using trigonometric rule,
sin A = cos(90 - A)
Therefore,
cos (A + 20) = cos(90 - A)
divide both sides by cos
Hence,
A + 20 = 90 - A
A + A = 90 - 20
2A = 70
divide both sides by 2
A = 70 / 2
A = 35
Therefore, the value of A is 35.
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A rectangle has a height of 4x^3 and a width of x3+3x^2+2x.
Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
Answer:
area of recatangle= 4x^3(x^3+3x^2+2x) =4x^6+12x^5+8x^4