Answer:
You can set up a proportion to solve for the total number of registered voters for both questions.
\(\frac{273600}{x} =\frac{57}{100} \)
27360000=57x
(57 percent) x= 480000
\(\frac{273600}{x} =\frac{60}{100} \)
27360000=60x
(60 percent) x= 456000
The total number of registered voters is greater when the percentage registered is lower when accounting for the same number of casted registered votes.
The local hospital offers an incentive for nurses to work longer shifts. After a regular 8-hour shift, they can make double time on the remainder of their shift. That is, they make twice their salary for each hour they work over 8 hours. Nurse Jane works 12 hour shifts Monday through Friday. Her weekly gross income is $2136.00, what is her base salary?
Answer:
$26.70/hour
Step-by-step explanation:
Let's look at 1 day.
She works a 12 hour shift. For the first 8 hours, she receives her regular hourly salary. That means 8 hours of pay at her regular hourly salary.
Then she works another 4 hours at her overtime pay. Her overtime pay is twice her regular salary, so the extra 4 hours at overtime pay are paid as if they were 8 hours of regular work. In effect, she is earning 16 hours of regular pay per day.
Monday through Friday means 5 days of work per week.
5 days/week * 16 hours/day = 80 hours/week
She is earning as if she were working 80 hours of regular pay per week.
base salary = (gross weekly income)/(effective number of hours in 1 week)
base salary = $2136/80
base salary = $26.70/hour
Without multiplying, order the following products from least to greatest.
1 1/6 x 310 8/8x310 4/7x310
One of the factors is present in all of the items mentioned. The order of the value of the other factor will match the order of the value of the product.
A multiplication comparison: What does that mean?When two amounts are compared, a multiplicative comparison determines which can be created when the other is multiplied by a specific number. Like Sam, who has twice as many balloons than Sid. Three balloons are in Sid's possession.Every single one of the previously named things contains one of the elements. Both the order of the other factor's value and the order of the product's value will be the same. A fraction that is equal to 1 multiplied by a number produces a number as the result. A positive whole number can be multiplied by a fraction greater than one, and the resulting number will always be larger than the initial whole number.To learn more about Multiplicative comparison refer to:
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if 1 > 0, then yt in the linear function of time e(yt) = 0 1t displays a(n): a. exponential trend. b. upward trend. c. downward trend. d. quadratic trend.
If 1 > 0, then the linear function of time e(yt) = 0 + 1t displays an upward trend.
In the given linear function of time e(yt) = 0 + 1t, the coefficient of the time variable (t) is positive (1), and it is stated that 1 > 0. This indicates that as time increases, the value of yt also increases. This pattern signifies an upward trend.
An exponential trend would require an exponential function with a positive exponent, which is not the case here. Similarly, a downward trend would require a negative coefficient for time, which is also not the case. A quadratic trend would involve a time variable raised to the power of 2, but the given function is a simple linear function with only a first-degree time variable.
Hence, based on the condition that 1 > 0, the linear function of time e(yt) = 0 + 1t displays an upward trend.
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Solve four and six eighths minus two and three fifths.
one and six thirteenths
one and three fortieths
two and six fortieths
two and three thirteens
Answer:
2 3/13 ok
Step-by-step explanation:
a study of a local high school tried to determine the mean number of text messages that each student sent per day. the study surveyed a random sample of 82 students in the high school and found a mean of 193 messages sent per day with a standard deviation of 55 messages. determine a 95% confidence interval for the mean, rounding all values to the nearest whole number.
Rounding all values to the nearest whole number, the 95% confidence interval for the mean number of text messages sent per day is approximately:
Confidence Interval = (181, 205)
To determine the 95% confidence interval for the mean number of text messages sent per day, we can use the formula:
Confidence Interval = Sample Mean ± Margin of Error
The margin of error depends on the sample size, standard deviation, and desired level of confidence. Since the sample size is relatively large (n = 82), we can use the Z-score for a 95% confidence level, which corresponds to a Z-score of approximately 1.96.
First, let's calculate the margin of error:
Margin of Error = Z * (Standard Deviation / sqrt(Sample Size))
Z = 1.96 (for a 95% confidence level)
Standard Deviation = 55
Sample Size = 82
Margin of Error = 1.96 * (55 / sqrt(82))
Calculating this value, we find:
Margin of Error ≈ 12.49
Now, we can construct the confidence interval:
Confidence Interval = Sample Mean ± Margin of Error
Sample Mean = 193
Confidence Interval = 193 ± 12.49
Rounding all values to the nearest whole number, the 95% confidence interval for the mean number of text messages sent per day is approximately:
Confidence Interval = (181, 205)
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I need help with thid
Answer:
10 cm
Step-by-step explanation:
which sampling method is being described
A store manger randomly choose a shopper entering her store to interview she then interview every 20th person after that contomer
to do the survey
Systematic sampling offers several advantages. It is relatively easy to implement and eliminates bias that may arise from the subjective selection of participants.
The sampling method described in the scenario is called systematic sampling.
Systematic sampling involves selecting every nth element from a population after randomly selecting a starting point. In this case, the store manager randomly chooses a shopper entering the store as the starting point and then proceeds to interview every 20th person after that initial selection.
Systematic sampling offers several advantages. It is relatively easy to implement and eliminates bias that may arise from the subjective selection of participants. By ensuring a regular interval between selections, systematic sampling provides a representative sample from the population.
However, it's important to note that systematic sampling can introduce a form of bias if there is any periodicity or pattern in the population. For example, if the store experiences a peak in customer traffic during specific time periods, the systematic sampling method might overrepresent or underrepresent certain groups of shoppers.
To minimize this potential bias, the store manager could randomly select the starting point for the systematic sampling at different times of the day or on different days of the week. This would help ensure a more representative sample and reduce the impact of any inherent patterns or periodicities in customer behavior.
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x - 3 < 4
graph the inequality
Answer: See the image below.
the number of families who used the tri-c day care service was recorded during a 30-day period. the results are as follows. use the ""2 to the power of k rule"" to make a frequency distribution. 31 49 19 62 24 45 23 51 55 60 40 35 54 26 57 37 43 65 18 41 50 56 4 54 39 52 35 51 63 42
To create a frequency distribution using the "2 to the power of k rule", we need to determine the value of k. The rule states that k should be equal to the largest value in the dataset. In this case, the largest value is 65.
Next, we calculate 2 to the power of k, which is 2^k. Since k = 6 (since 2^6 = 64), we have 2^6 = 64.
Now, we can create the frequency distribution. We start by dividing the range of the data (65 - 4 = 61) by 64 (2^k) to determine the interval size.
61 / 64 = 0.953125
Since the interval size is less than 1, we round it up to 1.
Now, we can start creating the frequency distribution table. We'll start with the lower limit of the first interval, which is 4. Then, we add the interval size to get the upper limit of the first interval, which is 4 + 1 = 5.
Now, we count how many values fall within this interval. From the given data, we have 4 values (4, 18, 19, 24). So, the frequency for this interval is 4.
We continue this process for the rest of the intervals until we reach the largest value in the data.
Here's the frequency distribution table:
Interval Frequency
4-5 4
6-7 2
8-9 2
10-11 0
12-13 0
14-15 0
16-17 0
18-19 2
20-21 0
22-23 1
24-25 2
26-27 1
28-29 0
30-31 0
32-33 0
34-35 2
36-37 1
38-39 2
40-41 1
42-43 2
44-45 1
46-47 0
48-49 1
50-51 3
52-53 1
54-55 3
56-57 1
58-59 0
60-61 1
62-63 1
64-65 1
In conclusion, we used the "2 to the power of k rule" to create a frequency distribution for the number of families who used the tri-c day care service during a 30-day period. The frequency distribution table shows the intervals and the corresponding frequency of values falling within each interval.
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Find the solution of (F +2H) IF
F = (8,0) and H = (-6,2)
The solution of (F + 2H) when F = (8,0) and H = (-6,2) is (8 + 2*(-6), 0 + 2*2) which simplifies to (-4, 4).
To find the solution of (F + 2H), we first need to multiply H by 2 and then add the result to F.
Multiplying H by 2 gives us 2H = 2*(-6,2) = (-12,4).
Next, we add F and 2H together:
(8,0) + (-12,4) = (8-12, 0+4).
The solution of (F + 2H) when F = (8,0) and H = (-6,2) is (-4, 4).
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How are 1 and 2 related?
Select all the equations that are true when x = 6.
6x = 12
17 – x = 11
x ÷ 2 = 3
19 ÷ 3 = x
5 + x = 11
make a mapping diagram for the relation (-2 -6) (0 3) (1 -5) (5 0)
Mapping refers to the process of associating or pairing elements from one set to another set.
To make a mapping diagram for the given relation, we need to plot the ordered pairs on a coordinate plane. The first coordinate of each ordered pair represents the input and the second coordinate represents the output. The mapping diagram will show the input-output pairs as arrows from the input value to the output value.
The mapping diagram for the relation (-2, -6), (0, 3), (1, -5), and (5, 0) is:
-2 ---> -6
|
|
v
0 ---> 3
|
|
v
1 ---> -5
|
|
v
5 ---> 0
In the above diagram, each arrow represents an input-output pair, starting from the input value on the left and ending at the output value on the right.
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ctions Practice 1. Gennaro is considering two job offers as a part-time sales person. Company A will pay him $12.50 for each item he sells, plus a base salary of $500 at the end of the month. The amount Company B will pay him at the end of the month is shown in the table. Compare the functions' initial values and rates of change. Then determine how much more Gennaro would make at Company A if he sells 28 items by the end of the month. (Example 1) Number of Items Sold, x 5 10 15 PERIOD Total Earned ($) (y) 425 500 575
The rate of company B is more than the rate of company A. Then the amount of money, if he sells 28 items by the end of the month in company A, will be $850.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Gennaro is thinking about two propositions for employment as a part-time sales rep. Organization A will pay him $12.50 for everything he sells, in addition to a base compensation of $500 toward the month's end.
y = 12.5x + 500
Then the rate is 12.5.
The amount Company B will pay him at the end of the month is shown in the table.
Number of Items Sold (x): 5 10 15
Total Earned ($) (y): 425 500 575
Then the equation is given as,
(y - 425) = [(500 - 425) / (10 - 5)](x - 5)
y - 425 = 15x - 75
y = 15x + 350
Then the rate is 15.
If he sells 28 items by the end of the month in company A. Then the amount is given as,
y = 12.5(28) + 500
y = 350 + 500
y = $850
The rate of company B is more than the rate of company A. Then the amount of money, if he sells 28 items by the end of the month in company A, will be $850.
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Micheal has 5^(2) boxes. There are 5^1 of apples in each box. When empty, a box weighs 5^-2 kg. What is the total weight of boxes with the apples in them.
Answer:
5.4
Step-by-step explanation:
Juss took the test
why is paying back along with a nominal interest rate of 13.62% if the interest is compounded quarterly, how much greater is white effective interest rate than his nominal interest rate
The required white effective interest rate is 0.71% more than his nominal interest rate.
What is compound interest?Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.
Here,
White Effective interest R,
\(R=(1+i/m)^m)-1\\R=(1+0.1362/4)^4)-1\\R =0.1433*100=\)
R = 14.33 percent
So
Difference in interest = 14.33%-13.62%
=0.71%
Thus, the required white effective interest rate is 0.71% more than his nominal interest rate.
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1. Suppose that John and Tom are sitting in a classroom containing 9 students in total. A teacher randomly divides these 9 students into two groups: Group I with 4 students, Group II with 5 students (a) What is the probability that John is in Group I? (b) If John is in Group I, what is the probability that Tom is also in Group I? (c) What is the probability that John and Tom are in the same group?
In a classroom with 9 students divided into two groups, we can calculate the probabilities related to John and Tom's placement. This includes the probability of John being in Group I, the probability of Tom being in Group I given that John is in Group I, and the probability of John and Tom being in the same group.
(a) The probability of John being in Group I can be calculated by dividing the number of ways John can be in Group I by the total number of possible outcomes: Probability(John in Group I) = Number of ways John in Group I / Total number of outcomes = 4 / 9.
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Algebra 1 common assessment unit 2-1 SY23
Answer:
\(t1 {15y08 \frac{18 \gamma \gamma }{?} }^{2} \)
How much thread is left on the spool in meters
Given:
The total 5 yards of thread on the spool.
Convert yard into meters.
\(1\text{ yard}\approx0.9144\text{ meters}\)For 5 yards to meters is,
\(\begin{gathered} 5\text{ yards}\approx\text{5}\times0.9144\text{ meters} \\ \approx4.572\text{ meters} \end{gathered}\)Allison uses 3.5 meters of the thread, the thread remains is,
\(4.572-3.5=1.072\)Answer: The thread left will be approximately 1.072 meters.
Computing equipment is bought from a supplier. The cost of 5 Computers and 4 Printers is £6,600, the cost of 4 Computers and 5 Printers is £6,000. Form two simultaneous equations and solve them to find the costs of a Computer and a Printer. A used Car salesperson can be paid using two methods of commission. METHOD X uses straight commission 3.5% of the selling price of all vehicles sold. METHOD Y uses a fixed amount of £250 per week plus commission of 1.5% of the selling price of all vehicles sold. If the total selling price of the Cars sold in each week is on average £20,000, calculate which of the two methods of commission the salesperson would prefer.
The cost of one computer is £600 and the cost of one printer is £800.
Computing equipment is bought from a supplier. The cost of 5 Computers and 4 Printers is £6,600, and the cost of 4 Computers and 5 Printers is £6,000. Form two simultaneous equations and solve them to find the costs of a Computer and a Printer.
Let the cost of a computer be x and the cost of a printer be y.
Then, the two simultaneous equations are:5x + 4y = 6600 ---------------------- (1)
4x + 5y = 6000 ---------------------- (2)
Solving equations (1) and (2) simultaneously:x = 600y = 800
Therefore, the cost of a computer is £600 and the cost of a printer is £800..
:Therefore, the cost of one computer is £600 and the cost of one printer is £800.
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GEOLOGY Shan used a surveying tool to map a region of land for his science class. To determine the height of a vertical rock formation, he measured the distance from the base of the formation to his position and the angle between the ground and the line of sight to the top of the formation. The distance was 43 meters, and the angle was 36°. What is the height of the formation to the nearest meter? 36° 43 m
The formation's height is 31 meters to the closest meter.
What exactly is meant by height?In mathematics, height is defined as the vertical distance between an object's top and bottom. It is also referred to as 'altitude.' The term height in geometry refers to the measurement of an object along the y-axis in coordinate geometry.
Height, altitude, and elevation all refer to the vertical distance between the top and bottom of something or between a base and anything above it. Height is a standard bodily measurement that is commonly measured in feet (ft) + inches (in) in the United States and centimeters (cm) abroad. Because they are length measurements, the SI unit would be meters.
We can use the tangent function to calculate the formation's height, h.
tan ( 36°) = h/43
Here, we have to multiply both sides by 43 we get,
43tan (36°)= h
h=31m
Therefore, the height of the formation to the nearest meter is 31m.
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9.233050612 es el número racional o irracional
9.233050612 is a rational number.
What are rational and irrational numbers?Real numbers that can be expressed as a ratio of two integers, such as P/Q, where Q is not equal to zero, are referred to as rational numbers. Finite or repeating numbers are included in the category of rational numbers.
Real numbers are referred to as irrational numbers if they cannot be represented as the ratio of two integers. These are composed entirely of non-terminating, non-repeating numbers.
The given number 9.233050612 can be written in the form P/Q as :
9.233050612 = \(\frac{9.233050612}{1000000000}\)
Hence, the given number is a rational number.
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The correct question is:
"9.233050612 is a rational or irrational number"
Find the area of the trapezoids. What is the Area of the trapezoids
A= Square units
Answer:
\(area = area \: of \: rectangle + area \: of \: triangles \\ = (6 \times 2) + ( \frac{1}{2} \times 6 \times 2) + ( \frac{1}{2} \times 6 \times 4) \\ = 12 + 6 + 12 \\ = 30 \: sq \: units\)
Answer:
30
Step-by-step explanation:
A 4500 square foot roll of plastic wrap costs $23.95. If 120 square feet is need for a party game, what is the monetary value of that 120 square foot piece of plastic wrap? Round to the nearest cent.
$0.64 is the monetary value.
We are given that a 4500 square foot roll of plastic wrap costs $23.95 and we are to determine the monetary value of a 120 square foot piece of plastic wrap.
Let us find the cost per square foot by dividing the total cost of the roll by the number of square feet in the roll:
$23.95/4500 = $0.005322 per square foot
Now, we can multiply the cost per square foot by the number of square feet needed for the party game (120) to find the monetary value of the piece of plastic wrap.
Therefore, the monetary value of that 120-square-foot piece of plastic wrap is:
$0.005322 x 120 = $0.64 (rounded to the nearest cent)
Hence, the monetary value of that 120-square-foot piece of plastic wrap is $0.64.
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What is the first step in solving the equation m/5 - 2=8
Answer:
The first step is adding two to both sides to further isolate the variable.
Step-by-step explanation:
You want m/5=10 so you can multiply 5 on both sides and find what m equals which is 50 in this instance.
Answer:
Step-by-step explanation:
m/5 -2=8 I would first add 2 to both sides
m/5=10 Then multiply both sides by 5 to clear out the fraction.
m=50
PLZ HELP AGAIN-find the midpoint of the line segement with the given endpoints
1) (3,10) , (-4,8)
Answer: (-0.5, 9)
-0.5 = -1/2
=====================================================
Explanation:
Add up the x coordinates and then divide the result by 2
(3 + (-4))/2 = (3 - 4)/2 = -1/2 = -0.5
Do the same for the y coordinates
(10+8)/2 = 18/2 = 9
The midpoint is therefore located at (-0.5, 9)
This is the same as saying (-1/2, 9)
The decimal form of this answer might be easier to deal with.
Complete the following magic square using the numbers 1 through 16, where the sum of every row, column, and diagonal is the same.
2,11,A,B
15,4,C,10
D,13,12,E
9,6,F,16
guadalupe owns 2 rectangular tracts of land. one is 300 m by 500 m and the other is 250 m by 630 m. the combined area of these 2 tracts is how many square meters
The combined area of these 2 tracts is 307500 square meters.
Define area of rectangle.The area a rectangle occupies is the space it takes up inside the limitations of its four sides. The dimensions of a rectangle determine its area. In essence, the area of a rectangle is equal to the sum of its length and breadth. The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies. A rectangle has an area of length width. Thus, width equals area divided by length, or 24 square units divided by 4 or 6 units.
Given
Area of rectangle = l× b
Guadalupe owns 2 rectangular tracts of land. one is 300 m by 500 m
Area = 300 × 500
Area = 150000m²
And the other is 250 m by 630 m.
Area = 250 × 630
Area = 157500m²
Combined area = 150000 + 157500
Combined area = 307500m²
The combined area of these 2 tracts is 307500 square meters.
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What is the Volume for the prism ???please help me Im really confused
warning number 777777777777777777777777777777
Answer: What is the warning for???? anyway your answer x= -3, x=-5
Step-by-step explanation:
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