The 1, 2, 4, and 5 principles are the principles that are used for accurate image projection with the help of the paralleling technique. Hence, the answer is option D.
The Principles are the following:
The image receptor and the object should be parallel to each other.The X-ray beam's center ray should be perpendicular to the object and the image receptor.The object and image receptor should be as near as feasible together.To reduce magnification and distortion, the image receptor should be placed distant from the source of radiation.The X-ray beam should be collimated to expose just the image receptor while minimizing scatter radiation.In this principles, the 1, 2, 4 & 5 principles are used for accurate image projection.
Therefore, the correct answer is principles 1, 2, 4, and 5. With the help of these principles we can accurate the image projection with the help of paralleling technique.
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julian is making potato salad for a family picnic. at the market, he spends $5.58 on red potatoes and $4.68 on yellow potatoes. if each type of potato costs $0.90 per pound, how many total pounds of potatoes does he buy?write your answer as a whole number or decimal.
In total Julian buys about 11.4 pounds of potatoes by spending $5.58 on red potatoes and $4.68 on yellow potatoes.
To find the total amount of potatoes that Julian buys, divide the total cost of each type of potato by the cost per pound.
Red potatoes cost $5.58 and cost $0.90 per pound, so in total Julien buys the next few pounds of red potatoes.
5.58 ÷ 0.90 ≈ 6.2 pounds (rounded to one decimal place)
Similarly, yellow potatoes cost him $4.68 and cost $0.90 per pound, so the total pounds of yellow potatoes that Julian buys would be:
4.68 ÷ 0.90 ≈ 5.2 pounds (rounded to one decimal place)
To find the total amount of potatoes that Julian bought, add the pounds of red potatoes and the pounds of yellow potatoes.
6.2 + 5.2 ≈ 11.4 pounds (rounded to one decimal place)
So in total Julian buys about 11.4 pounds of potatoes.
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Three machines are used to produce nails. The table displays the total number of nails produced by the 3 machines
over different lengths of time.
Nail Production with 3 Machines
Time (minutes)
Number of Nails
(thousands)
15
16
45
48
55
593
ON
If each machine produces nails at the same rate, how many nails can 1 machine produce in 1 hour?
nails
One machine can produce 600,000 nails in one hour.
Finding the total number of nails produced by the three machines in a minute and dividing that number by three to obtain the number of nails produced by a single machine in a minute are the first two steps in the solution to this problem.
The number of nails produced by a single machine in an hour can then be calculated by multiplying that number by 60.
Now, we add up the total number of nails produced during :
(15 + 16 + 45 + 48 + 55 + 59 + 3) / 7 = 30
To find the number of nails produced by one machine in one hour, we multiply by 60: 10,000 x 60 = 600,000
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scientists want to estimate the mean weight gain of mice after they have been fed a special diet. from previous studies, it is known that the weight gain is normally distributed with standard deviation 2 grams. how many mice must be weighed so that a 99% confidence interval for population mean weight will have a margin of error of 0.4 grams?
Approximately 166 mice must be weighed to achieve a 99% confidence interval for the population mean weight gain with a margin of error of 0.4 grams.
To estimate the mean weight gain of mice with a 99% confidence interval and a margin of error of 0.4 grams, we need to determine the required sample size using the given information about the population standard deviation.
Identify the relevant information:
- Standard deviation (σ) = 2 grams
- Margin of error (E) = 0.4 grams
- Confidence level = 99%
Find the critical value (z-score) for the given confidence level:
For a 99% confidence interval, the critical value (z-score) is approximately 2.576.
This value can be found using a z-table or a calculator with a built-in function for finding critical values.
Use the formula for determining the sample size (n) with a known standard deviation:
[tex]n = (z * \sigma/ E)^2[/tex]
where z is the critical value, σ is the standard deviation, and E is the margin of error.
Plug in the values and calculate the required sample size:
[tex]n = (2.576 * 2 / 0.4)^2[/tex]
[tex]n = (5.152 / 0.4)^2[/tex]
[tex]n = 12.88^2[/tex]
n ≈ 166.
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You will need to weigh approximately 166 mice to achieve a 99% confidence interval for the population mean weight with a margin of error of 0.4 grams.
In order to find the sample size required for a 99% confidence interval with a margin of error of 0.4 grams, we'll need to use the following formula:
n = (Z * σ / E)^2[tex]n = (Z * del / E)^2[/tex]
where:
- n is the sample size
- Z is the Z-score corresponding to the desired confidence level (in this case, 99%)
- σ is the known standard deviation (2 grams)
- E is the desired margin of error (0.4 grams)
For a 99% confidence interval, the Z-score is approximately 2.576 (you can find this value in a standard Z-score table).
Now, we'll plug the values into formula:
[tex]n = (2.576 * 2 / 0.4)^2\\n = (5.152 / 0.4)^2[/tex]
[tex]n = 12.88^2[/tex]
n ≈ 166
You will need to weigh approximately 166 mice to achieve a 99% confidence interval for the population mean weight with a margin of error of 0.4 grams.
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Ms.Lewis is comparing computer at an electronic store. she asks the questions shown below. State whether each questions is statistical or not. Explain. What are the prices of the computers?
The question "What are the prices of the computers?" is not a statistical question.
Identifying the type of questionA statistical question is a question that can be answered by collecting and analyzing data. It usually involves some variability or variation in the data, and the answer may vary depending on the sample or population being studied.
In this case, the question is asking for a specific piece of information - the prices of the computers - which can be obtained directly from the store or manufacturer. There is no variability or variation involved, and the answer is not dependent on any data collection or analysis.
Therefore, this question is not a statistical question.
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Circle A has radius AB and Circle X has radius XY. Points A and X are distinct points. Complete the statements below describing how to prove that the circles are similar.
Translate the center of circle A onto point __ __.
Then dilate the image of circle A about its center by a scale factor of __ __.
Translate the center of circle A onto point X.Then dilate the image of circle A about its center by a scale factor of XY/AB.
What is circle?A circle is a geometric shape consisting of points in a plane that are equidistant from a fixed point called the center, forming a closed curve.
According to the given information :
To prove that circles A and X are similar, we can follow the steps below:
1) Translate the center of circle A onto point X. This can be done by moving the center of circle A to point X while keeping the radius AB the same.
2) Dilate the image of circle A about its center by a scale factor of XY/AB. This means that we multiply the radius of the image of circle A by XY/AB. The result is a new circle that is similar to circle A and has the same center as circle X.
To summarize, the statements to complete are:
Translate the center of circle A onto point X.
Then dilate the image of circle A about its cent er by a scale factor of XY/AB.
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Translate the center of circle A onto point X.Then dilate the image of circle A about its center by a scale factor of XY/AB.
What is circle?
A circle is a geometric shape consisting of points in a plane that are equidistant from a fixed point called the center, forming a closed curve.
According to the given information :
To prove that circles A and X are similar, we can follow the steps below:
1) Translate the center of circle A onto point X. This can be done by moving the center of circle A to point X while keeping the radius AB the same.
2) Dilate the image of circle A about its center by a scale factor of XY/AB. This means that we multiply the radius of the image of circle A by XY/AB. The result is a new circle that is similar to circle A and has the same center as circle X.
To summarize, the statements to complete are:
Translate the center of circle A onto point X.
Then dilate the image of circle A about its center by a scale factor of XY/AB.
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One computer can process a payroll in 6 hours a new computer can do it in 4 hour how long would it take both computers together
Both computers working together can process the payroll in 2.4 hours.
Let's denote the time it takes for both computers working together to process the payroll as "t".
We can use the formula:
work done = rate x time
where "work done" is the same in both cases, as they are processing the same payroll. Therefore, we can set up an equation using the rates :
1/6 + 1/4 = 1/t
We can simplify the left-hand side of the equation:
2/12 + 3/12 = 1/t
5/12 = 1/t
Multiplying both sides by 12t:
5t = 12
t = 12/5
t = 2.4
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Identify the graph of g(x)=3x^2-24x+45
The graph of an equation can be identified by looking at the characteristics of the equation, such as the order.
Quadratics
The equation given is quadratic because the highest exponent is 2; this means the equation has an order of 2. All equations with an order of 2 are quadratic equations. Quadratic equations form parabolas, which look like a U. Additionally, the leading coefficient is positive. This means that the parabola will open upwards, with the vertex being the minimum of the graph.
Other Characteristics
We can find more information from the equation to help us find the graph. Specifically, we can find the y-intercept. To find the y-intercept, simply plug 0 in for x and solve.
g(0) = 3(0)² - 24(0) + 45g(0) = 45This means that the y-intercept is 45.
Additionally, to find the x-coordinate of the vertex, we can use the equation -b/(2a).
[tex]\frac{-b}{2a}[/tex] = [tex]\frac{24}{6}[/tex] = 4The x-value of the vertex is 4. With all of this information, we can identify what the graph will look like. However, if you need to find the full graph, you can plug x-values into the equation, solve for y, and then plot the coordinate pairs. Below is a picture of the graph.
Match the probability of falling BETWEEN the following z-scores.
1) Between -0.34 and 0.34
2) Between 2.6 and 3.14
3) Between -3.04 and -0.56
4) Between -1.17 and 2.23
A) 0.2662
B) 0.0039
C) 0.8661
D) 0.2865
Matching the probability of falling BETWEEN the following z-scores will give: 10 Between -0.34 and 0.34 is A) 0.2662. 2)Between 2.6 and 3.14 is B) 0.0039. 3) Between -3.04 and -0.56 is C) 0.8661.
How to Match the probability of falling BETWEEN the following z-scores.To match the probability of falling between the given z-scores, we need to use a standard normal distribution table or a calculator with a built-in normal distribution function.
Between -0.34 and 0.34
Using the standard normal distribution table, the area between -0.34 and 0.34 is 0.2662. Therefore, the answer is A) 0.2662.
Between 2.6 and 3.14
Using the standard normal distribution table, the area between 2.6 and 3.14 is 0.0039. Therefore, the answer is B) 0.0039.
Between -3.04 and -0.56
Using the standard normal distribution table, the area between -3.04 and -0.56 is 0.8661. Therefore, the answer is C) 0.8661.
Between -1.17 and 2.23
Using the standard normal distribution table, the area between -1.17 and 2.23 is 0.2865. Therefore, the answer is D) 0.2865.
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b) if the price of cigarettes increases by $1 (all else equal), then what will be the change in the odds of smoking?
However the exact change in the odds of smoking would depend on various factors such as individuals' preferences, income levels, and the price elasticity of demand for cigarettes.
If the price of cigarettes increases by $1 (all else equal), then the odds of smoking are likely to decrease. This is because an increase in price typically leads to a decrease in demand, and therefore a decrease in the likelihood that someone will choose to smoke cigarettes.
Specifically, the odds of smoking would decrease by a certain percentage that would depend on a variety of factors, such as the current price of cigarettes, the income level of individuals who smoke, and the availability of alternative products or behaviors. However the exact change in the odds of smoking would depend on various factors such as individuals' preferences, income levels, and the price elasticity of demand for cigarettes.
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1. two six-sided, fair dice are rolled. what are the probabilities of getting one even and one odd number?
The probability of getting one even and one odd number when rolling two six-sided, fair dice is 1/4.
How to find the probability of getting one even and one odd number?To calculate the probability of getting one even and one odd number, we can use the following approach:
There are three possible even numbers on each die (2, 4, and 6) and three possible odd numbers (1, 3, and 5).To get one even and one odd number, we need to choose one even number and one odd number from each die.The number of ways to choose one even number from the first die is 3, and the number of ways to choose one odd number from the second die is also 3.Therefore, the total number of ways to get one even and one odd number is 3 × 3 = 9.The probability of getting one even and one odd number is therefore 9/36 or 1/4 (since there are 36 possible outcomes in total).So the probability of getting one even and one odd number when rolling two six-sided, fair dice is 1/4 or 0.25.
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Write a sine function that has an amplitude of 3, a midline of y =2 and a period of 1
the sine function that meets the given conditions is:
[tex]y(t) = 3 \times sin ((2\pi / 1200) \times t) + 2[/tex]
Function with the given characteristics.
The terms and their definitions we need to consider:
Amplitude:
The maximum displacement from the midline (in this case, 3)
Midline:
The horizontal line that passes through the center of the wave (y = 2)
Period:
The length of one complete cycle of the wave (1200)
Now, let's write the sine function:
[tex]y(t) = A \times sin (B \times t) + C[/tex]
Where:
y(t) is the sine function with respect to time (t)
A is the amplitude (3)
B is the frequency (to be determined)
C is the midline (2)
First, we need to find the frequency (B).
The period and frequency are related by the following formula:
[tex]Period = 2\pi / B[/tex]
In this case, the period is 1200:
[tex]1200 = 2\pi / B[/tex]
Now, solve for B:
[tex]B = 2\pi / 1200[/tex]
Now, we can plug in the amplitude (A), frequency (B), and midline (C) into our sine function:
[tex]y(t) = 3 \times sin((2\pi / 1200) \times t) + 2[/tex]
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You are applying for an 80/20 mortgage to buy a house costing $175,000.
The first (80%) mortgage has an interest rate of 4.75%, and the second (20%)
mortgage has an interest rate of 7.525%. Both the first mortgage and the
second mortgage are 30-year fixed-rate mortgages. What will the total
amount of the mortgage be?
OA. $340,521.93
B. 304,986.23
C. $321,948.90
OD. $351,226.80
SUBMIT
The closest answer to the total amount of the mortgage is option D: $351,226.80.
What is percentage?
Percentage is a way of expressing a number as a fraction of 100. It is denoted by the symbol "%". The term "percent" comes from the Latin word "per centum", which means "per hundred".
To calculate the total amount of the mortgage, we need to first calculate the amount of each mortgage.
For the first (80%) mortgage, we can calculate the amount by multiplying the house price by 80%:
$175,000 x 0.80 = $140,000
For this mortgage, we have a 30-year fixed rate of 4.75%. We can use an online mortgage calculator or formula to calculate the monthly payment:
M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1]
where:
M = monthly payment
P = principal (amount of the loan)
i = interest rate per month (annual rate divided by 12)
n = total number of payments (number of years multiplied by 12)
Using this formula, we get:
M = $140,000 [ 0.0475/12 (1 + 0.0475/12)^360 ] / [ (1 + 0.0475/12)^360 – 1]
M = $755.67
For the second (20%) mortgage, we can calculate the amount by multiplying the house price by 20%:
$175,000 x 0.20 = $35,000
For this mortgage, we have a 30-year fixed rate of 7.525%. Using the same formula as above, we get:
M = $35,000 [ 0.07525/12 (1 + 0.07525/12)^360 ] / [ (1 + 0.07525/12)^360 – 1]
M = $250.09
To calculate the total amount of the mortgage, we simply add the two monthly payments:
$755.67 + $250.09 = $1,005.76
Finally, we multiply this monthly payment by the total number of payments (30 years multiplied by 12 months per year) to get the total amount of the mortgage:
$1,005.76 x 360 = $361,475.77
Therefore, the closest answer to the total amount of the mortgage is option D: $351,226.80.
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Phil is baking a pie with cranberries and apples. Apples cost $0.60/cup and cranberries cost $0.40/cup. Phil wants to spend no more than $4.20 on the fruit for his pie.
Question
What is an inequality that represents the combinations he can use?
Which graph shows the solution to the inequality Negative 3 x minus 7 less-than 20 Group of answer choices A number lines goes from negative 10 to positive 10. An open circle appears at positive 9. The number line is shaded from positive 9 through negative 10. A number line goes from negative 10 to positive 10. An open circle appears at positive 9. The number line is shaded from positive 9 through positive 10. A number line goes from negative 10 to positive 10. An open circle appears at negative 9. The number line is shaded from negative 9 through positive 10. A number line goes from negative 10 to positive 10. An open circle appears at negative 9. The number line is shaded from negative 9 through negative 10.
The solution is all values of x greater than -9.
What is the correct graph for the given inequality?The correct graph for the given inequality "Negative 3x - 7 < 20" is:
From negative 10 to positive 10, a number line runs. An open circle shows up at negative 9. From negative 9 to positive 10, the number line is shaded.
To chart the arrangement, we initially confine the variable by adding 7 to the two sides of the imbalance:
Negative 3x - 7 + 7 < 20 + 7
Negative 3x < 27
Next, we divide both sides by -3, remembering to flip the inequality sign since we're dividing by a negative number:
Negative 3x/-3 > 27/-3
x > -9
Therefore, the arrangement is all upsides of x more prominent than - 9. Since these are the values that satisfy the inequality, we graph this by drawing an open circle at -9 on the number line and shading all values to the right of -9.
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isosceles triangle of area 100 square inches is cut by into an isosceles trapezoid and a smaller isosceles triangle. the area of the trapezoid is 75 square inches. if the altitude of triangle from is 20 inches, what is the number of inches in the length of ?
If an isosceles triangle of area 100 square inches is cut into an isosceles trapezoid and a smaller isosceles triangle. the base of the littler isosceles triangle is 12.5 inches.
Since the triangle is isosceles, the length of the two breaks even with sides is too "b". The equation for the zone of a triangle is (1/2)base x stature, so we have: (1/2)b x 20 = 10 ,b = 10
So the length of the base of the first triangle is 10 inches.
we have to discover the length of the base of the littler isosceles triangle. Let's call this length "x". We know that the range of the trapezoid is 75 square inches, so ready to utilize the equation for the region of a trapezoid:
(1/2)(b1 + b2)h = 75
we know that one of the bases of the trapezoid is rising to the base of the little triangle (which is "x"). The other base of the trapezoid is break even with the contrast between the base of the first triangle (which is 10) and the base of the little triangle (which is "x")
=(1/2)(x + (10 - x))(20) = 75
=200 - 10x = 75=10x = 125
x = 12.5
thus, the base of the isosceles triangle is 12.5 inches.
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a marketing organization claims that less than 15% of its employees are paid minimum wage. if a hypothesis test is performed that fails to reject the null hypothesis, how would this decision be interpreted? g
If a hypothesis test is performed and fails to reject the null hypothesis, it would mean that there is not enough evidence to support the claim that less than 15% of the marketing organization's employees are paid minimum wage.
Therefore, it would not be concluded that the claim is true. The null hypothesis assumes that the claim is false or that the percentage of employees paid minimum wage is not significantly different from 15%.
The failure to reject the null hypothesis means that the evidence does not contradict the null hypothesis, but it does not necessarily prove it to be true.
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Find the volume of the prism.
The volume is
cubic feet.
Answer: 8/125 or 0.064
Step-by-step explanation:
volume of a cube is w^3
(2/5)*(2/5)*(2/5)
8/125 or 0.064
can yall help me with this homework question can yall also show how you did it please otherwise my teacher wont give me points. and yes I will give you 40 whole points for this!
The area of the figure is 72 m².
Sam is making chili for a get-together. His recipe calls for 1 1/2 cups of kidney beans for every 4 cups of chili. He wants to make 12 cups of chili. How many cups of kidney beans should he put in the chili?
Sam should put cups of kidney beans in the chili
If Sam is making chili for a get-together, his recipe calls for 1 1/2 cups of kidney beans for every 4 cups of chili, Sam should put 4 1/2 cups of kidney beans in his 12 cups of chili.
To determine how many cups of kidney beans Sam should put in his 12 cups of chili, we need to use the ratio of 1 1/2 cups of kidney beans for every 4 cups of chili.
First, we need to calculate the number of times the recipe ratio fits into the desired quantity of chili.
12 cups of chili ÷ 4 cups of chili per ratio = 3 ratios of chili
Therefore, Sam needs to use 3 ratios of chili to make 12 cups of chili.
Next, we need to multiply the number of ratios of chili by the number of cups of kidney beans in each ratio:
3 ratios of chili × 1 1/2 cups of kidney beans per ratio = 4 1/2 cups of kidney beans
Note that we can also write 4 1/2 as a mixed number, which is 4 cups and 1/2 cup. Therefore, Sam can use 4 cups of kidney beans and half a cup of kidney beans to make his chili.
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BRAINLIST!
PLS SHOW ALL STEPS!! WE ARE DOING A CLASS JAM BOARD AND I NEED THIS DONE! I WILL MAKE YOU A BRAINLIST!
Step-by-step explanation:
Ok do what you need to do is label the line opposite the square angle as H for the hypotenuse. Then label the line opposite the circular angle as O for the opposite. And finally, the last line remaining should be labelled as A for Adjacent. Does this help?
I need help ASAP mean absolute deviation (mad)
The absolute deviation for the observation of 16 in the data-set is given as follows:
5.
How to calculate the mean of a data-set?The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations, which is also called the cardinality of the data-set.
Hence the mean of the data-set in this problem is given as follows:
(19 + 16 + 4 + 9 + 7)/5 = 11.
The absolute deviation of 16 is given by the difference between 16 and the mean of 11, hence:
16 - 11 = 5.
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A pebble falls off a cliff at a height of
256 ft. If the equation for height as a
function of time is
h(t)=-16t2+ initial height where t is time
in seconds and h(t) is height in feet, how
many seconds will it take for the pebble
to hit the ground?
Check the picture below.
so the pebble will hit the ground when h(t) = 0.
It's noteworthy that the pebble is falliing off a cliff, so it was at rest, so its initial velocity is 0, so in essence is falling as fast as gravity can drop it.
[tex]~~~~~~\textit{initial velocity in feet} \\\\ h(t) = -16t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}&0\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&256\\ \qquad \textit{of the object}\\ h=\textit{object's height}&\\ \qquad \textit{at "t" seconds} \end{cases} \\\\\\ h(t)=-16t^2+256\implies 0=-16t^2+256\implies 16t^2=256 \\\\\\ t^2=\cfrac{256}{16}\implies t^2=16\implies t=\sqrt{16}\implies t=4 ~~ seconds[/tex]
Please fill in all of the blanks
Answer:
The perimeter of this trapezoid is
7 + 5 + 3 + 7 + 4 = 26 cm
rectangle, A = lw, 4 × 7 = 28 square cm
triangle, A = (1/2)bh, (1/2) × 3 × 4 =
6 square cm
(1/2)(4)(7 + 10) = (1/2)(4)(17) = 34 square cm = 28 square cm + 6 square cm
Find the area of the figure. Round to the nearest tenth if necessary.
The area of the figure is 64 sqaure centimeters.
What is the area of the figure?The figure in the image compose of two rectangles:
The area of a rectangle is:
A = length × width
From the image,
For the larger rectangle:
Length = 12cm
Width = 4.5 cm
For the smaller rectangle:
Length = 5cm
Width = 2cm
Hence:
Area of the figure = area of larger rectangle + area of smaller rectangle
Area of the figure = ( 12cm × 4.5cm ) + ( 5cm × 2cm )
Area of the figure = ( 54 cm² ) + ( 10 cm² )
Area of the figure = 64 cm²
Therefore, the area is recdtangle 64cm².
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HELP!! VIEW PHOTO THANKS!!
Step-by-step explanation:
Total people surveyed = 246
total female = 122
divorced = 15 + 13 BUT the 13 was already counted in 'female'
soooo
female OR divorced = 122 + 15 out of 246 = 137/246 = .5569
A random sample of 7th grade students at a school shows that 14 out of 20 students like math. If the school has 250 students, how many would you predict like math ?
We would predict using the random sample that 175 students at the school like math.
What is confidence interval?A confidence interval is a range of values that, with a certain degree of certainty, is likely to contain the real value of a population parameter. In most cases, the level of confidence is stated as a percentage, such as 95% or 99%, and it indicates the likelihood that the parameter's actual value falls within the range. In statistics, confidence intervals are frequently used to calculate an estimate of a population parameter's value from a sample of data. A confidence interval, which offers a range of likely values for the population parameter, is constructed using the sample statistics and the variability of the data.
Given that, 14 out of 20 students like math.
Using proportions we have:
14/20 = 0.7.
Now for 250 students we have:
0.7 * 250 = 175
Hence, we would predict that 175 students at the school like math.
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So, a line parallel to y =ax + c will have a slope of
A. a
B. A number not equal to a
C. 1/a
Answer:
A
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = ax + x ← is in slope- intercept form
with slope m = a
• Parallel lines have equal slopes
then the slope of a line parallel to y = ax + c is
slope = a
fractions to decimals
Answer: 1 is .4
2. is .6
3 is .5
4 is .375
5 is .18
6 is .71
7 is .16
8 is .66 repeating
9 is .91
and 10 is .25
Step-by-step explanation:
to get all these and fractions to decimals in the future just divide the numerator by the denominator in other words the top number by the bottom number
1): 0.4
2): 0.67 or 0.7
3): 0.5
4): 0.37 or 0.4
5): 0.18
6): 0.42 or 0.5
7): 0.17
8): 0.7
9): 0.97 or 1
10): 0.25
a call center has analyzed the calls received in the last month and found that, on average, 64 calls were received per hour. assume that call arrivals follow poisson distribution and come from an infinite population. service times follow an exponential distribution with an average of 45 seconds per call served. assume the queue length can be infinite with fcfs discipline. a) what is the average number of people in line? (2.5 points) b) what is the average number of people in the system? (2.5 points) c) what is the average amount of time that a person can expect to spend in line? (2.5 points) d) on average, how much time will a person spend in the system? (2.5 points) e) during the weekends, the call arrival rate can be expected to increase to over 80 per hour. what effect will this have on the average number of people waiting in line? (2 points)
The arrivals calls will follow the poisson distribution then
a) The average number of people in line is equals to 64.
b) The average number of people in the system is equals to 64.
c) The average amount of time that a person can expect to spend in line is 64 calls per hour.
d) On average, the time a person will spend in the system is 64 calls per hour.
e) increase in the typical number of persons who are waiting in line when arival rate become 80 calls per hour.
We have a call center has analyzed the calls received in the last month.
Average of calls received = 64 calls per hour
Assume that call arrivals follow the poisson distribution and service times follow an exponential distribution with an average of 45 seconds per call served. Also, the queue length can be infinite with fcfs discipline.
a) The average length of time spent waiting in line is 45 seconds. This is due to the fact that the pace of calls coming in is 45 seconds each call, yet the arrival rate is 64 calls per hour.
b) The typical number of users is 64, according to the system. This is due to the fact that the pace of calls coming in is 45 seconds each call, yet the arrival rate is 64 calls per hour.
c) A person should anticipate waiting in line for a total of two minutes on average. This is the typical wait time. This is due to the fact that the pace of calls coming in is 45 seconds each call, yet the arrival rate is 64 calls per hour.
d) The typical wait time for a person to be processed via the system is four minutes. This is due to the fact that the pace of calls coming in is 45 seconds each call, yet the arrival rate is 64 calls per hour.
e) There will be an increase in the typical number of persons who are waiting in line to . This is due to the fact that the pace of calls coming in is 45 seconds each call, yet the arrival rate is 64calls per hour.
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a 20-sided die has sides with the following symbols: two sides are blank three sides have green squares four sides have red triangles five sides have blue circles six sides have yellow crosses the die will be rolled 12 times. let x be the number times the die lands on a green square. x has a binomial distribution. what is a trial? [ select ] what would be considered a success? [ select ] how many trials? n
A trial in the context of a binomial distribution refers to a single experiment or attempt with a success or failure outcome.
A success in this problem is defined as the die landing on a green square, and the number of trials is 12.
A trial, in this context, refers to rolling the 20-sided die once.
When the die is rolled 12 times, each of those 12 rolls is considered a separate trial.
A success is the outcome that we are interested in tracking.
In this case, a success is when the die lands on a green square.
The number of trials, denoted by 'n', is the total number of times the die is rolled.
In your question, the die will be rolled 12 times, so n = 12.
To recap:
- A trial: Rolling the 20-sided die once
- A success: The die landing on a green square.
- Number of trials (n): 12.
Since x has a binomial distribution, this implies that each trial is independent, and the probability of success remains constant throughout all trials.
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