Answer:
11 r 3
Step-by-step explanation:
I think this the answer not too. Hope this helps u.
Chris and Alex are friends who have summer jobs as waiters. The distribution of Chris’s weekly tips is approximately normal with mean $225 and standard deviation $25. Alex works at a different restaurant; the distribution of his weekly tips is approximately normal with mean $240 and standard deviation $15. Assuming their weekly tips are independent, which is the probability that Chris will make more in tips than Alex in a randomly selected week? Show your work.
(A) 0.067
(B) 0.159
(C) 0.227
(D) 0.303
(E) 0.354
What is the measure of an angle if it is 660 less than five times its own supplement?
Two angles are supplementary when they add up to 180 degrees.
if angle is x, its supplement is 180-x
if the measure of an angle if it is 360 less than five+times its own supplement, we have
The measure of the angle can be found by solving the equation
x = 5(180 - x) - 660.
Let's assume the measure of the angle is x. The supplement of the angle is 180 - x since they are supplementary angles.
According to the given information, the measure of the angle is 660 less than five times its own supplement. Mathematically, we can represent this as
x = 5(180 - x) - 660
To solve this equation, we first distribute 5 to 180 - x, resulting in
900 - 5x
Then we can simplify the equation as follows: x = 900 - 5x - 660. Combining like terms, we get 6x = 240. Dividing both sides by 6, we find that x = 40.
Therefore, the measure of the angle is 40 degrees.
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A marketing survey indicates that 60% of the population owns an automobile, 30% owns a house, and 20% owns both an automobile and a house. Calculate the probability that a person chosen at random owns an automobile or a house, but not both.
Given,
P(owning an automobile) = 0.6
P(owning a house) = 0.3
P(owning both an automobile and a house) = 0.2
We need to find the probability of owning an automobile or a house, but not both.
The probability of owning only an automobile can be calculated as:
P(owning only an automobile) = P(owning an automobile) - P(owning both an automobile and a house)
= 0.6 - 0.2
= 0.4
Similarly, the probability of owning only a house can be calculated as:
P(owning only a house) = P(owning a house) - P(owning both an automobile and a house)
= 0.3 - 0.2
= 0.1
Now, we can use the addition rule of probability to calculate the probability of owning an automobile or a house, but not both:
P(owning an automobile or a house, but not both) = P(owning only an automobile) + P(owning only a house)
= 0.4 + 0.1
= 0.5
Therefore, the probability that a person chosen at random owns an automobile or a house, but not both, is 0.5 or 50%.
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a watermelon is thrown down from the 7th floor of urey hall at ucsd. if the initial height of the watermelon is 21.0 meters, and it is thrown straight downward with an initial downward velocity of 3.00 m/s. how far will the watermelon have fallen from its starting height after 1.50 seconds?
Answer:
The watermelon has fallen 15.53625m
Step-by-step explanation:
x=vi*t+.5*a*t^2
x=3*1.5+.5*9.81*1.5^2
x=15.53625m
a parking garage has 6 levels. Each level has 15 row. Each row has the same number of parking spaces. there are 2,250 parking spaces in all. How many parking spaces are in each row? Write an equation of equations to show your work.
Find the value of a.
Answer: 14
Step-by-step explanation: The perimeter is all of the side added together. When finding the perimeter of a rectangle the opposing sides have the same value. So the equation would be 2(12) + 2(a) = 52. 12 x 2 is 24. 52- 24 is 28 and youre left with 28 = 2(a). You divide each side by 2 and get 14 = a
pls help me with this
Express 0.0065184 in 3 significant figures
Answer:
I believe it would be 6.5184*10^-3
Step-by-step explanation:
If wrong please tell me
0.4 divided by 29 equally is?
Answer:
72.5 (Not rounded)
Hope this helps!
A line has a slope of 6 and includes the points (3,r) and (1, – 7). What is the value of r? r=
Answer:
r = -19
Step-by-step explanation:
To find the value of r, we can use the slope formula and the two given points:
slope = (y2 - y1) / (x2 - x1)
where (x1, y1) = (3, r) and (x2, y2) = (1, -7).
Substituting these values, we get:
6 = (-7 - r) / (1 - 3)
Simplifying and solving for r, we get:
6 = (-7 - r) / (-2)
Multiplying both sides by -2, we get:
-12 = 7 + r
Subtracting 7 from both sides, we get:
r = -19
Therefore, the value of r is -19.
1. Find the ratio of of 25cm and 1m .
2. Find the product of (a + 4)(a − 4).
Answer:
1..
solution....
here given
25cm
1m=100cm
now,
25/100=1/4
1:4
2....
(a+4)(a-4)
a^2-4^2
a^2-16
Step-by-step explanation:
hope it will help you
You put $800 into an investment at 7% for three years. What will the balance be at the end of three
years?
Answer:
$980.03
Step-by-step explanation:
$800 x 0.07 = $56
($800 + $56) x 0.07 = $59.92
($856 + $59.92) x 0.07 = $64.11
$856 + $59.92 + $64.11 = $980.03
a small apartment has a 11ft by 11ft bedroom, a 4ft by 6ft bathroom, and a single multi-use 15ft by 16ft living room/kitchen. what is the total square footage (area) of the apartment?
The total square footage (area) of the apartment is 385 square feet.
The total square footage, also known as the area, of an apartment is a measure of how much space the apartment has.
First, let's find the area of the 11ft by 11ft bedroom. To do this, we multiply the length and the width of the room. In mathematical terms, the area of a rectangle is equal to the length times the width. So, for the bedroom, the area is
=> 11ft * 11ft = 121 square feet.
Next, let's find the area of the 4ft by 6ft bathroom. The formula for the area of a rectangle is still the same, so the area of the bathroom is
=> 4ft * 6ft = 24 square feet.
Finally, we'll find the area of the multi-use living room/kitchen, which is 15ft by 16ft. The area of this room is
=> 15ft * 16ft = 240 square feet.
Now that we have the area of each room, we can add them together to find the total area of the apartment. So, the total area is
=> 121 square feet + 24 square feet + 240 square feet = 385 square feet.
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100 POINTS HELP MEEEEE ASAP
Suppose we have a triangle with sides of length 3, 4, and 5 units. We can use the Pythagorean theorem to verify that this triangle is a right triangle: 3^2 + 4^2 = 9 + 16 = 25 = 5^2. Therefore, the angle opposite the side of length 5 is a right angle. We can also use the Law of Cosines to find the measure of one of the acute angles in the triangle. Let A, B, and C be the vertices of the triangle, with side AB of length 3, side BC of length 4, and side AC of length 5. Let angle C be the angle opposite the side of length 5. Then, by the Law of Cosines, we have cos(C) = (3^2 + 4^2 - 5^2) / (2 * 3 * 4) = -1/8. Since C is acute, we know that cos(C) is positive, so we take the absolute value to get cos(C) = 1/8. Therefore, we have C = arccos(1/8) ≈ 82.62 degrees.
work out
5/6 × 48
120 x 2/3
Answer:
1. 130/6
2. 240/3
Step-by-step explanation:
make the whole numbers into a fraction by putting 1 as the denominator.
48/1.
then multiply together.
48 x 5 = 130
6 x 1 = 6
130/6
do the same with the other
120 x 2 = 240
1 x 3 = 3
240/3
Answer:
40
80
Step-by-step explanation:
5/6 × 48
5 × 48 = 240
240/6
= 40
120 × 2/3
120 × 2 = 240
240/3
= 80
Find the length of the arc of a circle of radius 5 inches subtended by a central angle of 220 degrees. Round your answer to the nearest hundredth.The length of the arc is Answer inches.
Given:
a circle of radius = r = 5 inches
We will find the length of the arc subtended by a central angle of 220 degrees
We will use the following formula:
\(arc\text{ }length=\theta *\frac{\pi}{180}*r\)Substitute with r = 5, and θ = 220
So, the langth of the arc will be as follows:
\(220*\frac{\pi}{180}*5=19.19862\)Rounding to the nearest hundredth
So, the answer will be the length of the arc = 19.20 inches
Write the following expression as a single summation in terms of k. ? k V+ m + 1 m m + 4 k + 3 k = 1 k = 1
The expression as a single summation in terms of k is:
∑k=1^m (V + (m + 1)/(m + 4)k + 3k) = mV + [(m + 1)(2m^2 + 3m + 4)]/2(m + 4)
The given expression involves two summations, so we need to simplify each one before combining:
∑k=1^m (V + (m + 1)/(m + 4)k + 3k) = ∑k=1^m V + (m + 1)/(m + 4)∑k=1^m k + 3∑k=1^m k
Using the formulas for the sum of the first m integers and the sum of the squares of the first m integers, we get:
∑k=1^m V + (m + 1)/(m + 4)(m(m+1)/2) + 3(m(m+1)/2)
= mV + (m + 1)/(m + 4)(m^2+m)/2 + 3(m^2+m)/2
= mV + [(m + 1)(2m^2 + 3m + 4)]/2(m + 4)
Combining the terms, we get:
∑k=1^m (V + (m + 1)/(m + 4)k + 3k) = mV + [(m + 1)(2m^2 + 3m + 4)]/2(m + 4)
Therefore, the expression as a single summation in terms of k is:
∑k=1^m (V + (m + 1)/(m + 4)k + 3k) = mV + [(m + 1)(2m^2 + 3m + 4)]/2(m + 4)
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Determine which set of side measurements could be used to form a right triangle.
A: 2,4,10
B: 7,8,9
C: Square root of 6,8, Square root of 70
D: Square root of 28, Square root of 42, 70
The set of sides (Square root of 6,8, Square root of 70) could be used to form a right-angle triangle.
Option (C) is correct.
What is a Pythagorean Triplet?
Pythagorean triples are defined as a²+b² = c², where a, b, and c are positive integers. These triples are denoted as (a, b, c). The perpendicular is a the base is b, and the hypotenuse is c of a right-angled triangle. The most well-known and tiniest triplets are (3,4,5).
For option (C), the set of sides is (Square root of 6,8, Square root of 70).
Let the largest side in the above set is c = \(\sqrt{70}\)
so a = \(\sqrt{6}\) and b= 8,
Now by using the Pythagorean triplets property,
LHS = a² + b²
= \((\sqrt{6})^2 + 8^{2}\)
= 6 + 64
= 70 -----------------(I)
Now, RHS = c²
= \((\sqrt{70})^2\)
= 70 -----------------(II)
By using (I) and (II), we can say that, LHS = RHS,
So the given set of sides holds the property of Pythagorean triplets.
Hence, the set of sides (Square root of 6,8, Square root of 70) could be used to form a right-angle triangle.
Option (C) is correct.
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Emily typed 456 words in 8 minutes. Her friend Mary typed 32 fewer words in the
same time frame. At the same rate, how long would it take Mary to type 954 words?
Find the sum:
6,449
+ 4,836
Answer:
11285
Step-by-step explanation:
Answer:
11,285
Step-by-step explanation:
Line up the numbers so that ther columns add up.
Add the two numbers in the column starting from the right.
The first digit goes to the next column over to the left and the second digit goes directly under the column of the numbers that were added together.
Repeat the steps above till there are no columns left.
HELP ASAP PLEASE (answer all parts please)
The upcoming championship high school football game is a big deal in your little town. The problem is, it is being played in the next biggest town, which is two hours away! To get as many people as you can to attend the game, you decide to come up with a ride-sharing app, but you want to be sure it will be used before you put all the time in to creating it. You determine that if more than three students share a ride, on average, you will create the app.
You conduct simple random sampling of 20 students in a school with a population of 300 students to determine how many students are in each ride-share (carpool) on the way to school every day to get a good idea of who would use the app. The following data are collected:
6 5 5 5 3 2 3 6 2 2
5 4 3 3 4 2 5 3 4 5
You will construct a 90% confidence interval and 95% confidence interval for the mean number of students who share a ride to school, then you will compare and interpret the results.
Part A: Decide which partner will construct each confidence interval, and then state the parameter and check the conditions.
Part B: Construct the confidence interval. Be sure to show all your work, including the degrees of freedom, critical value, sample statistics, and an explanation of your process.
Part C: Interpret, share, and compare. Interpret the meaning of the confidence interval, compare your results with your partner, and describe the difference in the width of the interval and the margin of error.
Part D: Use your findings to explain whether you should develop the ride-share app for the football game.
the perimeter of rectangle field is 160m than find the area of field if its breath is 20m
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Answer:
3200
Step-by-step explanation:
area= (l*b)
area=(160*20)
area=3200
Point M is located (-4,-6)What is located 4 units from point MChose 1 answer A. Point AB. Point BC. Point CD. x-axis E. y-axis
Answer:
y-axis is located 4 units from point M
\(E\text{. y-axis}\)Explanation:
Given that the point M is located at;
\((-4,-6)\)we want to find what is located 4 units from M.
Points A,B and C are all more than 4 units point M.
Point M is 6 units from the x-axis.
Point M is 4 units from the y-axis.
Therefore, y-axis is located 4 units from point M
Find the equation of the line. Use exact numbers. y =__ x +__
EXPLAIN:
Ex: the line is: y = ax + b
The line go through 2 points ( 0 ; -5 ) and ( 5 ; 0 )
So: \(\left \{ {{0=5a+b} \atop {-5=0a+b}} \right. =>\left \{ {{b=-5a} \atop {b=-5}} \right. =>\left \{ {{a=1} \atop {b=-5}} \right.\)
The line: y = x - 5 = (1)x + (-5)
ANSWER: y = (1)x + (-5)
ok done. Thank to me :>
The perimeter of the rectangular top of a bookcase is 54 in. Find the length of the width is 7 in.
Step-by-step explanation:
P = L × B
54 = L × 7
54 = 7L
Therefore, L = 54 ÷ 7
L = 7.71
Complete the point slope equation of the line through (3,6) and (5,-8)
Answer:
Step-by-step explanation:
y-6=-7(x-3)
can someone help me plz
Answer:
y = 2x - 10
Step-by-step explanation:
The slope is 4 + 4 / 7 - 3 = 8 / 4 = 2
y = 2x + b
-4 = 6 + b
b = -10
Thank, 5 star, braniliest if helpful
Hank's pickup can travel 65 miles on 5 gallons of gas. How many gallons will Hank's pickup need to travel 39 miles?
Answer: 3 Gallons
Step-by-step explanation:we divide 65 by 5 and it comes out to 13 so 13 is our miles per gallon and we divide it by 39 and end up with 3 gallons
What condition has no solution?
A condition that is impossible to satisfy has no solution.
Mathematics can be a powerful tool for solving many problems, but there are some issues that can't be solved.
In particular, any condition that is impossible to satisfy, such as the logical statement ‘this statement is false’, has no solution in mathematics. This is because the statement can’t be proven true or false, and so it can’t be solved.
An unsolvable condition is one that cannot be solved using any combination of logical and mathematical steps.
This means that no matter how much time and effort is put in, a solution to the problem cannot be discovered.
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I WILL MARK BRAINLIEST!!!!!!!!!
Determine whether the table below represents a linear function. Explain your reasoning.
Answer:
It is not
Step-by-step explanation:
It is not because this is an exponential function
y=x^2
1^2=1
2^2=4
3^2=9
4^2=16
in a right skewed distribution the z score of the median is positive. give an example of right skewed data to illustrate your post (include the mean and the median).
Here is an example of right skewed data:
Data: 1, 1, 1, 1, 2, 2, 2, 3, 3, 4
Mean: 2.5
Median: 2
Z-score of median: 0.5
As you can see, the mean is greater than the median. This is because the data is right skewed, meaning that there are a few extreme values on the right side of the distribution that are pulling the mean up.
The z-score of the median is positive because the median is greater than the mean.
Another example of right skewed data is the distribution of income. In most countries, most people earn a modest amount of income, but there are a few people who earn a very high income. This creates a right skewed distribution, with the mean being greater than the median.
In a right skewed distribution, the z-score of the median is positive because the median is closer to the mean than the mode. The mode is the most frequent value in the distribution, and it is usually located on the left side of the distribution in a right skewed distribution.
The mean is pulled to the right by the extreme values, but the median is not affected as much because it is not as sensitive to extreme values.
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