At the Kansas City Airport, a group of pilots for Skyways and Yellow Jet airlines were asked whether their flights were flying east or west. The two-way table shows their answers.
Flight Directions
A 4-column table with 3 rows. The first column has no label with entries skyways, yellow jet, total. The second column is labeled East with entries 30, 65, 65. The third column is labeled West with entries 33, 34, 67. The fourth column is labeled total with entries 63, 69, 132.
Which joint frequency has the most flights?
The joint frequency with the most flights in the given two-way frequency table is: yellow jet, going east.
What is a Two-way Frequency Table?A two-way frequency table is a table that displays joint frequency of two categorical variables using rows and columns to represent each.
Looking at the two-way table given, yellow jet, going east is the cell with the most flight. So, the joint frequency with the most flights is: yellow jet, going east.
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Answer:
c
Step-by-step explanation:
The scale for a map to actual distance is 2 cm to 100 miles. The driving distance on the map between Los Angeles and Las Vegas is 4.5 cm. What is the actual distance in miles between Los Angeles and Las Vegas?
Answer:
225 miles
Step-by-step explanation:
We start by converting it into a fraction, then multiply by the quantity
\(\frac{100 miles}{2 cm} *4.5 cm =225 miles\)
-8/9 + (-2)/57
find the absolute value of the following rational number
The absolute value of the Rational number -474/513 is 474/513.
To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:
-8/9 = (-8/9) * (57/57) = -456/513
-2/57 = (-2/57) * (9/9) = -18/513
Now, you can add the fractions:
-456/513 + (-18/513) = (-456 - 18)/513 = -474/513
To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:
| -474/513 | = 474/513
Therefore, the absolute value of the rational number -474/513 is 474/513.
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Perpendicular line from a 90 angle
True or false
Φ1 = ∬S1 (-2u^6cos(v) - 2u^3sin(v)) du dv
= ∫(0->1) ∫(0->2π) (-2u^6cos(v) - 2u^3sin(v)) dv du
\(\begin{align}\sf\:\Phi_1 &= \iint_{S_1} (-2u^6\cos(v) - 2u^3\sin(v)) \, du \, dv \\ &= \int_{0}^{1} \int_{0}^{2\pi} (-2u^6\cos(v) - 2u^3\sin(v)) \, dv \, du \end{align} \\\)
What is the total square inches
Square Area = side x side = 3x3 = 9
Rectangle Area = side x side= 7x3= 21
9 + 21 = 30 square inches
Answer:
30 square inches
Step-by-step explanation:
\(\boxed{\text{\bf Area of rectangle = length *width}}\)
Rectangle1:
Area = 6 * 3
= 18 square inches
Rectangle2:
Area = 4 * 3
= 12 square inches
Area of the figure = area of rectangle1 + area of rectangle2
= 18 + 12
= 30 square inches
15
A sample of calcite fell on the floor. It broke into many flat, smooth pieces. Which property
does this mineral have?
(4 Points)
fracture
cleavage
O breakage
slicing
Jorge is hiking a trail that is 2½ miles long. He hikes 13 miles before resting.
How much farther does he have to hike?
O A.
mile
OB.
B. mile
O C.3 mile
OD. mile
By taking a difference between mixed numbers, we can conclude that the distance left is 5/8 of a mile.
How much farther does he have to hike?We know that the total length of the trail is 2½ miles, and Jorge hikes 1⁷/₈ miles before resting.
So the distance that he has left is equal to the difference between 2½ miles and 1⁷/₈ miles.
Remember that the mixed numbers can be rewritten as:
2½ = 2 + 1/2
1⁷/₈ = 1 + 7/8
So we need to find the difference:
(2 + 1/2) - (1 + 7/8) = ( 2 - 1) + (1/2 - 7/8)
= 1 + (4/8 - 7/8) = 1 - 3/8
Now we can simplify this so we get a single fraction:
1 - 3/8 = 8/8 - 3/8 = 5/8
From this, we can conclude that the distance left is 5/8 of a mile.
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HELP PLS! BRAINLIEST WILL BE GIVEN
Answer:
Might be C
Step-by-step explanation:
Find the present value that will grow to $1000 if the annual interest rate is 5.5% compounded quarterly for 10 years
Answer:
1708.14 rounded
Step-by-step explanation:
Y= a•b^x
5.5% = 0.055
1+0.055=1.055
Y= 1000•1.055^10
Y= 1708.14
Write the value of the expression.
Start Fraction 2 cubed over 2 cubed End Fraction
A. 0
B. 1
C. 2
D. 3
Answer:
1
Step-by-step explanation:
since the two numbers are the same up and down so the answer will be always 1
Given (21,7) and (x,
1), find all x such that the distance between these two points is 17.
Answer:
21+/-sqrt(253)=x
So one value for x is 21+sqrt(253)
and another is 21-sqrt(253)
Problem:
Given (21,7) and (x,1), find all x such that the distance between these two points is 17.
Step-by-step explanation:
Change in x is x-21
Change in y is 7-1=6
distance^2=(change in x)^2+(change in y)^2
17^2=(x-21)^2+(6)^2
289=(x-21)^2+36
Subtract 36 on both sides:
289-36=(x-21)^2
253=(x-21)^2
Take square root of both sides:
+/-sqrt(253)=x-21
Add 21 on both sides:
21+/-sqrt(253)=x
There are two values of "x" that satisfy the given condition:
\(1. \( x = 21 + \sqrt{253} \) \ 2. \( x = 21 - \sqrt{253} \)\) These are the values of "x" such that the distance between the points (21, 7) and (x, 1) is 17.
Given two points (21, 7) and (x, 1) and the distance formula:
\(Distance = \sqrt{{(x_2 - x_1)^2 + (y_2 - y_1)^2}}\)
We want to find all the values of "x" such that the distance between these two points is 17:\(\[ 17 = \sqrt{{(x - 21)^2 + (1 - 7)^2}} \]\)
Simplifying the equation: \(\[ 289 = (x - 21)^2 + 36 \]\)
Moving the constant term to the other side:\(\[ (x - 21)^2 = 253 \]\)
Taking the square root of both sides: \(\[ x - 21 = \pm \sqrt{253} \]\)
Finally, isolating \("x": \[ x = 21 \pm \sqrt{253} \]\)
So, there are two values of "x" that satisfy the given condition:
\(1. \( x = 21 + \sqrt{253} \) \ 2. \( x = 21 - \sqrt{253} \)\)
These are the values of "x" such that the distance between the points (21, 7) and (x, 1) is 17.
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In this figure,
AB | CD and
mZ2 = 60
m_6
What is
Enter your answer in the box.
Answer:
the measurement of angle 6 is 60
Nina skated for 2 hours and 14 min she stop at 8:24 pm when did Nina start skating
Answer:
6:10 pm
Step-by-step explanation:
she skate for 2 h and 14 min so,
8:24- 2:14
=6:10 pm
What is F(-x)?
F(x)=x^3+1
Answer:
F(-x) = 0
Step-by-step explanation:
What is F(-x)?
F(-x) = F(-1)
F(x) = x³ + 1 F(-1)
F(-1) = -1³ + 1
F(-1) = -1 + 1
F(-1) = 0
So, F(-x) = 0
Answer:
f(-1) = 0
Step-by-step explanation:
Evaluating a function for f(-x) is the same as evaluating it for f(-1).
So we plug in -1 instead.
f(-1) = x³ + 1
= (-1)³ + 1 (here we cube -1)
= -1 + 1 (here we subtract)
= 0 (and, this is the answer)
\(\therefore\) The answer is f(-1) = 0
Select the measurement most likely to be subject to random error. 1-Measuring temperature with a digital thermometer; 2-Measuring temperature with a mercury thermometer; 3-Measuring a distance in yards by pacing; 4-Determining the number of pennies in bags by dividing the weights of the filled bags by the legally defined weight of a penny.
Dividing the weights of filled bags by the legally defined weight of a penny is less likely to be subject to random error.
What are the Random errors?
Random errors are errors that occur randomly and affect measurements in an unpredictable way. Therefore, the measurement most likely to be subject to random error is the one that is most prone to variability in measurement.
Out of the given options, the measurement most likely to be subject to random error is 3 - Measuring a distance in yards by pacing.
This is because the pacing is a manual process that is subject to variations in stride length, uneven terrain, and human error.
As a result, measurements obtained by pacing are likely to be more variable and subject to random errors.
The other options involve measurements taken using more precise instruments or standardized methods, which are less likely to be subject to random errors.
For example, digital thermometers and mercury thermometers provide more accurate temperature readings, and the weight of a penny is a standardized measure,
Therefore, dividing the weights of filled bags by the legally defined weight of a penny is less likely to be subject to random error.
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What is the value of x? Type an exact answer
Answer:
9
Step-by-step explanation:
Sketch and label a net of the right triangular prism. Each square on the grid represents
1 square centimeter. Calculate the surface area of the prism by using its net.
The total surface area of the prism is determined as 216 cm².
What is the surface area of the prism?The surface area of the prism is calculated by applying the following formula.
The area of the two triangular faces is calculated as follows;
Area of the two triangles = 2 (¹/₂ x base x height )
Area of the two triangles = 2 (¹/₂ x 6 cm x 4 cm )
Area of the two triangles = 24 cm²
The area of rectangular faces is calculated as follows;
A = ( 5 cm x 12 cm ) + (5 cm x 12 cm ) + ( 6 cm x 12 cm )
A = 192 cm²
The total surface area of the prism is calculated as follows;
Area = 24 cm² + 192 cm²
Area = 216 cm²
The sketch of the triangular prism is in the image attached.
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Which of the following absolute value equations has no solutions?Group of answer choices
The absolute value measures the distance a number is away from the origin (zero) on the number line. A number can be to the left or right of zero on the number line, but the distance away from zero is always positive. Graphically:
In other words:
• If d is positive and
\(\begin{gathered} |x|=d \\ \text{ then} \\ x=d\text{ or }x=-d \end{gathered}\)• If d is negative and
\(\begin{gathered} |x|=-d \\ \text{then} \\ \text{ No solution, because distance (d) can not be negative.} \end{gathered}\)Therefore, the equation that has no solutions is:
\(\boldsymbol{|x|=-3}\)Rewrite each equation without absolute value for the given conditions
y=|x-5|+|x+5| if x>5
y=|x-5|+|x+5| if x<-5
y=|x-5|+|x+5| if -5
Step-by-step explanation:
Condition 1x > 5, both terms are positive
y = x - 5 + x + 5 = 2xCondition 2x < - 5, both terms are negative
y = - (x - 5) - (x + 5) = - x + 5 - x - 5 = - 2xCondition 3This is not clear
If x>5
Terms are positiveHence..
y=x-5+x+5=2xIf x<-5 terms are negative
y=-x+5-x-5=-2xIf x=-5
y=|-5-5|+|-5+5|y=|-10|y=10The sector of a circle has an area of 104pi/9
square inches and a central angle with measure 65 degree
. What is the radius of the circle, in inches?
Answer:
Given:
Area of the sector (A) = 104π/9 square inches
Central angle (θ) = 65 degrees
The formula for the area of a sector of a circle is:
A = (θ/360) * π * r^2
We can rearrange this formula to solve for the radius (r):
r^2 = (A * 360) / (θ * π)
Plugging in the given values:
r^2 = (104π/9 * 360) / (65 * π)
r^2 = (104 * 40) / 9
r^2 = 4160 / 9
r^2 ≈ 462.22
Taking the square root of both sides:
r ≈ √462.22
r ≈ 21.49
Therefore, the radius of the circle is approximately 21.49 inches.
Answer: 8 inches
Step-by-step explanation:
A triangle with coordinates (0,0), (0, 7) and (6,0) is rotated 360 degrees about the x-axis. What is the volume of the figure created in cubic units?
The volume of the figure created is 98 cubic units.
Given that:
A triangle with coordinates (0,0), (0, 7), and (6,0) is rotated 360 degrees about the x-axis.
A cone is formed when a triangle rotates. Then the volume created is calculated as,
V = 1/3 x 7² x 6
V = 49 x 2
V = 98 cubic units
The volume is 98 cubic units.
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What is the probability of randomly picking an ace of hearts from a standard deck of playing cards? Assume there are no jokers in the deck.
A. 1/52
B. 3/52
C. 1/13
D. 1/4
The probability of picking an ace of hearts from a standard deck of playing cards is 1/52.
Consider a standard deck of cards.
We know that a standard deck of cards contains 52 cards.
So, total number of cards in the standard deck of cards = 52 cards
Now, we have to assume that there are no jokers in the set of cards.
We have to find the probability of picking an ace of hearts from a standard deck of playing cards.
For that we need to first find the number of cards which are ace of hearts.
Number of cards which are ace of hearts = 1
Probability of picking an ace of hearts from a standard deck of playing cards is,
P = Number of ace of hearts / Total number of cards
= 1/52
Hence the probability is 1/52.
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How many pies are there if someone eats 2 and then someone else eats 4 then I eat 13? We started with 200 pies.
Answer:
183
Step-by-step explanation: 13+4=17 200-17=183
Answer:
181
Step-by-step explanation:
1) How much interest will you pay on a $43,000 car loan with a fixed APR of 4.9% if the loan is
for 5 years?
With a monthly repayment of $809.49, the total interest on the car loan will be $5,569.67.
How is the total interest computed?We assume that there are monthly repayments and compounding interest on the car loan.
With periodic repayments and compounding interest, the total interest paid on the car loan will be as shown by the car loan calculator.
Car loan = $43,000
Down payment = $0
Fixed Annual Percentage Rate (APR) = 4.9%
Loan term = 5 years
Car Loan Calculator with monthly Repayment:
Payment = $809.49/month
Interest Paid =$5,569.67
Total Paid = $48,569.67
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Express the following sum in sigma notation. Use 1 as the lower limit of summation and k for the index of summation. 1+41+4+9+16+25+36
The sigma notation is:
Σ (6 to k=1) k²
Given:
The summation symbol, S, tells us to add up the sequence's components. To the right of the summation sign is a typical component of the sequence that is being summed. An index that appears below the summation sign designates the variable of summation.
Typically, a sum of several terms is represented by the symbol "sigma." Typically, this symbol is accompanied by an index that changes to include all terms that must be taken into account while calculating the sum.
use 1 as the lower limit of summation and k for the index of summation. 1+41+4+9+16+25+36
⇒ 1+4+9+16+25+36
⇒ 1² + 2² + 3² + 4² + 5² + 6²
⇒ Σ (6 to k=1) k²
Hence we get the required answer.
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2x+2 divided by x+4
y intercept:
x intercept:
asymptotes:
end behavior:
The following is solved for from the equation
y intercept = (0, 1/2) x intercept = (-1, 0)vertical asymptotes x = - 4horizontal asymptotes y = 2end behavior
x → ∞ f(x) = ∞x → - ∞ f(x) = ∞How to find the intercepts, asymptotes and end behaviorGiven data
2x+2 divided by x+4
The given equation could be written as (2x + 2) / (x+4)
y intercept
This is the value of y at x = 0
y = (2x + 2) / (x+4)
y = (0 + 2) / (0+4)
y = 2 / 4
y = 1/2
therefore y intercept = (0, 1/2)
x intercept
This is the value of x at y = 0
0 = (2x + 2) / (x+4)
0 = (2x + 2)
2x + 2 = 0
2x = -2
x = - 2/2
x = -1
therefore x intercept = (-1, 0)
asymptotes
Asymptotes refers to a line that is going close to a curve but never touch the curve.
vertical asymptotes
(2x + 2) / (x+4) = 2 - 6 / (x+4)
having x + 4 as the denominator we solve as follows
x + 4 = 0
x = - 4
horizontal asymptotes
(2x + 2) / (x+4)
using the highest degree variables in the numerator and denominator
= 2x / x
= 2
y = 2
end behavior
the end behavior of the equation is to show the response of the equation when the variable is increasing or decreasing.
(2x + 2) / (x+4)
x → ∞ f(x) = ∞
x → - ∞ f(x) = ∞
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Bài 2. Chứng minh ma trận A sau đây khả nghịch và tìm nghịch đảo của nó
A=(2 2 5
5 3 -8
19 13 -14)
Answer:
No idea on wht u are saying but, good luck
please help it’s due tomorrow
[x + y = -4
[x - y = 2
Answer:
which one substitution or elimination
Step-by-step explanation:
Substitution: (-1,-3 )
Elimination: (-1,-3)
i hope this helps you :)
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A sociologist claims the probability that a person picked at random in Times Square in New York City is visiting the area is 0.83. You want to test to see if the claim is correct. State the null and alternative hypotheses.
Answer:
The answer is:
\(H_0: p=0.83\\\\H_a: p \neq 0.83\)
Step-by-step explanation:
Now, we're going to test if sociologists claim to be have visited a region of 0.83 by a person picked randomly on Time In New York City.
Therefore, null or other hypotheses are:
\(H_0: p=0.83\\\\H_a: p \neq 0.83\)