2 The 49 police officers in Keller, Texas issued 8,575 speeding tickets last year. If each officer issued the same number of tickets, how many tickets did each officer issue? F 205 G 185 H 175 J 145
Given:
The total number of police in Keller
\(N_{\text{police}}=49\)The total number of speeding tickets issued last year is
\(N_{sped\in g\text{ tickets}}=8575\)If each officer issued the same number of tickets, the number of tickets each officer issued would be:
\(\frac{8575}{49}\)Let us use long division to solve as shown below
From the above, the solution of the division is 175 tickets, OPTION J
Find the missing side. 31° Z z = [?] Round to the nearest tenth. Remember: SOHCAHTOA 21
A²+B²= C²
31²+ 21²= z²
961+441 = z²
1402= z²
z= 37.443290454
Find the average of the function over the given interval. f(x) = x3 over [−1, 1]
9514 1404 393
Answer:
0
Step-by-step explanation:
f(x) = x^3 is an odd function, so is symmetrical about the origin. Its average value on any symmetrical interval around the origin will be 0.
The average value is 0.
PLZ HELP
What question should you ask yourself first when factoring polynomials?
A: Can I divide all terms by a GCF?
B: What is the exponent of the first term?
C: What is the degree of the polynomial?
D: Are there four terms?
Answer:
The correct answer is A: Can I divide all terms by a GCF?
explanation:
I took the quiz
Simplify the polynomial, then evaluate for x = 2.
x+3x²+2x-3-4x²+6
x² + 3x + 9; 19
x² + 3x + 3; 5
-x² + 3x + 9; 11
O
O
-x² + 3x + 3; 13
Answer:
x^2 + 3x + 9 = (x + 3)(x + 3)
When x = 2, we have:
(2 + 3) * (2 + 3)
5 * 5
25
which of these best describes the slope and the y-intercept of this line
hello
to solve this question, let's find the y-intercept first.
y-intercept is the point at which the line passes through the y-axis
from careful observation of the graph, the intercept of this graph is equal to 5
intercept = 5
now let's pick two points and solve for the slope
the points can be (0,0) and (4, 5)
\(\begin{gathered} \text{slope(m)}=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{5-0}{4-0} \\ m=\frac{5}{4} \end{gathered}\)from the calculations above, the value of the slope is equal to 5 while the slope is equal to 5/4
Irinkers or both? Acme electronics manufactures MP3 players at three locations. The plant 50% of the MP3 players and 1% are defective. The plant at Memphis manu that plant are defective. The plant at Fort Meyers manufactures 20% and 3% If an MP3 player is selected at random, what is the probability that it is defe Refer to Problem 6.101. An MP3 player is found to be defective. What is th manufactured in Fort Meyers?
The probability that an MP3 player manufactured in Fort Meyers is defective is 0.37%.
To calculate the probability that an MP3 player is defective, we need to consider the manufacturing plants and their respective defect rates.
Given:
Plant at Memphis manufactures 50% of the MP3 players, and 1% of those manufactured at that plant are defective.
Plant at Fort Meyers manufactures 20% of the MP3 players, and 3% of those manufactured at that plant are defective.
No information is provided about the defect rate of the third plant.
To find the overall probability of an MP3 player being defective, we need to consider the probability of selecting a defective player from each plant and then weigh it by the probability of selecting a player from each plant.
Let's calculate the overall probability:
Probability of selecting a defective player from Memphis plant = 50% * 1% = 0.50% or 0.005 (since 50% is equivalent to 0.50 in decimal form)
Probability of selecting a defective player from Fort Meyers plant = 20% * 3% = 0.60% or 0.006 (since 20% is equivalent to 0.20 in decimal form)
To calculate the overall probability, we need to weigh these probabilities by the probability of selecting an MP3 player from each plant:
Probability of selecting from Memphis plant = 50% = 0.50 (decimal form)
Probability of selecting from Fort Meyers plant = 20% = 0.20 (decimal form)
Overall probability of selecting a defective MP3 player is given by:
Overall probability = (Probability from Memphis plant * Probability of selecting a defective player from Memphis) + (Probability from Fort Meyers plant * Probability of selecting a defective player from Fort Meyers)
Overall probability = (0.50 * 0.005) + (0.20 * 0.006) = 0.0025 + 0.0012 = 0.0037 or 0.37%
Therefore, the probability that an MP3 player, manufactured in Fort Meyers, is defective is 0.37%.
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After graduating from college, Trevor gets a job at a software company with a starting salary of 50,000 dollars and is given a 10% raise every year. After 10 years, what will his total earnings have been at the company? (Round to the nearest dollar)
Answer:
796871
Step-by-step explanation:
Based on the given conditions, formulate:
5000 x (1 - (1 + 10%) 10)
-------------------------------
1 - (1 + 10%)
Evaluate the equation/expression:
796871.23005
Find the closest integer to
798871.23005
= 796871
i need help with this question i dont know how to do it thanks <3
Answer:
( c+a, b)
Step-by-step explanation:
The length of the horizontal line is c by taking points D and C
( c-0) =c
So the length of line AB must also be c if it is a parallelogram
Let the coordinate of B be (x,y)
(x-a) =c
x = c+a
The height of the parallelogram is b by taking the difference of the y coordinates from A and D
A -D = b-0 = b
This must be the same form B and C
y -0 = b
y = b
The coordinates of B is ( c+a, b)
Question 10
A car park has 880 parking spaces.
Some of the spaces are reserved.
The ratio of reserved spaces: not reserved spaces = 1:10.
Work out the number of spaces that are not reserved.
Step-by-step explanation:
work he in a department store
what amount will be in the fund immediately after the last deposit?(full problem screen shot attached) .
The amount in the fund immediately after the last deposit is $1148830.185
Given,
The amount deposited by Steve annually = $53,700
Interest rate of the fund = 15%
Time period of the investment = 10 years
We have to find the amount in the fund immediately after the last deposit.
Here,
To calculate the future value after the last deposit, we need to use the following formula:
Future Value = {A[(1+i)^n-1]}/i
A = Annual deposit
Then,
FV = {53,700[(1.15)^9 - 1]} / 0.15 + 53,700
FV= 1095130.185 + 53,700
FV= $1148830.185
Therefore,
The amount in the fund immediately after the last deposit is $1148830.185
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3(3) + 3(2/3)......................
A girl who is flying a kite lets out 200 feet of string which makes an angle of 50° with the ground. Assuming that the string is stretched out, find, to the nearest foot, how high the kite is above ground.
The height of the kite from the ground when the angle is 50 degrees is 232 feet.
What is trigonometry?The study of the correlations between triangles' sides and angles is the focus of the mathematic branch known as trigonometry. To link the angles of a right triangle to the lengths of its sides, it makes use of trigonometric functions like sine, cosine, and tangent.
Numerous industries, including physics, engineering, and navigation, use trigonometry. It can be used, for instance, to determine a building's height or the separation between two locations on a map, as well as to examine how waves and oscillations behave.
To find the height of the kite above the ground we use the trigonometric identity of tangent.
Thus, we have:
tan(50°) = h/200
Now, using cross multiplication:
h = 200 tan(50°) ≈ 232 feet
Hence, the height of the kite from the ground when the angle is 50 degrees is 232 feet.
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Can someone help me with this problem please? I'm really struggling :(
smaller leg is the smaller side
longer leg is the longer side
hypotenuse is the longest side
triangle a example:
smaller leg: 8-5 = 3
longer leg: 2-(-8) = 10
hypotenuse: use the formula a^2 + b^2 = c^2 (not needed since the side lengths are already given)
Identify the property used in each step of solving the inequality 7x+4 <46,
Step
7x+4 <46
7x <42
x <6
Answer:
1) Given
2) Subtraction Property of Inequalities
3) Division Property of Inequalities
Please see the attached.
Answer:
min: 56
lower quartile: 70
median: 74
upper quartile: 80
max: 86
4. The Federal Reserve System
a. lends money to banks
b. functions as the bank for the government
Oc
Od.
d. all of these
5. What portion of its revenues does the United States spend on defense
Oa
c. aids the check-clearing process
a. about 10 percent
b. about 20 percent
c. about 40 percent
d. about 50 percent
4. The Federal Reserve System
d. all of these5. about 10 percent
What is the federal reserve?
The Fed is the renowned central bank of the United States, famous for their diverse and crucial functions which includes:
Providing short-term loans to banks: The Federal Reserve serves as a lender during critical times, acting seamlessly to help out other financial institutions in order meet the necessities required to stabilize within our economic system.
Govern through banking services provided: The account management of U.S government lies on this exceptional institution. It proficiently sponsors numerous activities such as payment processing and providing governmental services amongst others.
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find the square root of 3.6 upto 2 decimal places
An envelope is 60 centimeters wide. About how many inches wide is the envelope? (1 inch ≈ 2.5 centimeters)
Answer:
60/2.5 = 24 cm
Step-by-step explanation:
if you are satisfied with the results then plz make me genius
Answer:
The answer is 24 inches.
Step-by-step explanation:
Given:
1 inch = 2.5 cm
or, 1 cm = 1/2.5 inch............... eqn (i)
Now,
Wideness of envelope = 60 cm
= 60 (1/2.5) inches [From eqn (i)]
= 60/2.5 inches
= 24 inches Ans
16) Michael is 4 feet tall. Explain how Michael could find his height in inches.
Then explain how he could find his height in yards.
By the process of conversion of unit, it can be found that
Height of Michael in inches is 48 inches
Height of Michael in yards is 1.33 yards
What is conversion of unit?
Conversion of unit is the process in which the value of one unit can be converted into the value of another unit.
Conversion of unit is very important especially in doing sums in physics or chemistry.
Here,
Michael is 4 ft tall
Now height of Michael in inches = \(12 \times 4\) inches
= 48 inches
Now, height of Michael in yards = \(4 \times \frac{1}{3}\) yards
= \(1.33\) yards
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two angles of a triangle measure 55° and 20° what is the measure of the third angle of the triangle
Answer:
You add them together to get 75 degrees then you take 180-75 to get 105 so you will subtract the sum of the two given angles from 180°. So your answer is 105 degrees.
Step-by-step explanation:
Solve F=9/5C+32 for C.
A.F−32/9
B.5/F−32
C.9/5(F−32)
D.5/9(F−32)
Answer:
C
Step-by-step explanation:
Pls helppp I don’t understand also if you can can you show the works pls if you can tho
Answer:
I would help but it is just black try to repost it and i will tell you what it is
Step-by-step explanation:
The following table summarizes a sample of the wait times at two branches of a bank. The district manager wants to construct a two-sample t test to see if there is a significant difference between the average wait times at the two branches.
Branch A B
Mean (minutes) 4.77 5.13
Standard deviation (minutes) 1.45, 45 1.36
Number of observations 20 20
Which of the following are conditions for this type of test?
Choose all answers that apply:
A. The samples are both randomly selected.
B. The wait times within each sample are independent of each other.
C. The wait times within each group are approximately symmetric without outliers.
The conditions for this type of sampling test regarding the wait times at two branches of a bank include:
The samples are both randomly selected.The wait times within each group are approximately symmetric without outliers.What is sampling?It should be noted that sampling simply means a statistical process where a predetermined number of observations are taken from a larger population.
In this case, the samples are both randomly selected and the wait times within each group are approximately symmetric without outliers. When there's a symmetric distribution with no outliers, the mean and standard deviation will be used.
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A club elects a president, vice-president, and secretary-treasurer. How many sets of officers are possible if there are 14 members and any member can be elected to each position
I have two different answers:
The first answer is how many different sets there can be with regard to order. So like ABC, ACB, BAC are all different sets.
The second answer is without regard to order. So like ABC, ACB, BAC are just one set because it is all just one set of things arranged differently.
Maybe someone else can clarify which one is right.
P.S. I think it is probably looking for that first answer if I had to guess.
In the 2012 Olympics a U.S. athlete Nathan Adrian finished the 100-meter freestyle swim in 47.52 seconds. If nathan swam the same pace in a regular 25-meter pool what would his time have been per lap?
At the same rate as his 100-meter freestyle swim in the 2012 Olympics, Nathan Adrian could have completed one loop of a 25-meter pool in 11.88 seconds.
To solve this problem
The idea of proportionality can be applied. The time it would take Nathan Adrian to complete one lap in a 25-meter pool is known to be 47.52 seconds for the 100-meter freestyle. Since the tempo is constant while the distance varies, we can establish a ratio:
100 meters / 47.52 seconds = 25 meters / x seconds
where x is the unknown time for one lap in the 25-meter pool.
To solve for x, we can cross-multiply:
100 meters * x seconds = 47.52 seconds * 25 meters
100x = 1188
Dividing both sides by 100, we get:
x = 11.88 seconds
Therefore, at the same rate as his 100-meter freestyle swim in the 2012 Olympics, Nathan Adrian could have completed one loop of a 25-meter pool in 11.88 seconds.
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Suppose X is a random variable with mean X and standard deviation oXSuppose Y is a random variable with mean Y and standard deviation oY. The mean of X + Y is: O a. MX+MY O b.uX/oX) + (Y /oY). O c. 1X+uY, but only if X and Y are independent.O d (uX/oX) + (Y/oY), but only if X and Y are independent.
The correct option regarding the mean of X + Y is given as follows:
a. MX+MY.
How to obtain the mean of a data-set?The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations.
Hence, when two variables are added, we can add their means, as we add all the observations and divide by the number of observations, considering the two variables.
This means that the correct option is given by option A.
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The table shows the number of free throws a player makes in a basketball game and the number of points the player scores in the game.
Number of free throws vs. Number of Points Scored
Number of free Throws Made (f) | Numbers of Points Scored (s)
5 15
3 11
8 20
7 18
9 21
Alex used a regression calculator to find the equation of the trend line y = a x + b for the data in the table. He rounded the values for a and b on his calculator as shown below.
a = 1.7
b = 6.2
Which trend line compares the data in the table?
s = 1.7 f + 6.2
s = 6.2 f + 1.7
f = 1.7 s + 6.2
f = 6.2 s + 1.7
Answer:
The regression equation of the data will be:
\(s=6.2f+1.7\)
Step-by-step explanation:
A simple linear regression equation is used to estimate the value of the dependent variable based upon the independent variable.
The general form of a simple linear regression equation is:
\(y=a+bx\)
Here,
y = dependent variable
x = independent variable
a = intercept
b = slope
The data is provided for the number of free throws a player makes in a basketball game and the number of points the player scores in the game.
The free throw in a basketball game implies that for every throw shot made the player receives point.
This implies that the points scored are based upon the number of free throws made by a player.
So, the dependent variable is the number of points scored and the independent variable is the number of free throws a player makes.
Then the regression equation of the data will be:
\(s=6.2f+1.7\)
Answer:
y = 1.7x + 6.2
Step-by-step explanation:
read the problem closely to figure out S and F. I can guarentee that if you read the entire thing, you will know if the answer is. It is either choice one or three
A school raised $18,000 at a charity event. A, B, and C, in ratio 1: 2: 3. How much money did each charity receive?
Answer:
3000
6000
9000
Step-by-step explanation:
18000/6=3
A=1(3000)=3000
B=2(3000)=6000
C=3(3000)=9000
A medical device company knows that the percentage of patients experiencing injection-site reactions with the current needle is 11%.
What is the probability that an injection-site reaction occurs for the first time on the 6th patient of the day?
0.0001
0.0614
0.3685
0.4970
Answer:
0.4970
Step-by-step explanation:
I might be wrong
The probability that an injection-site reaction occurs for the first time on the 6th patient of the day will be 0.4970. Then the correct option is D.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.
Then the probability is given as,
P = (Favorable event) / (Total event)
A medical device company knows that the percentage of patients experiencing injection-site reactions with the current needle is 11%.
The probability that an injection-site reaction occurs for the first time on the 6th patient of the day is given as,
P = (1 - 0.11)⁶
P = (0.89)⁶
P = 0.4970
The probability that an injection-site reaction occurs for the first time on the 6th patient of the day will be 0.4970. Then the correct option is D.
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