Correct answer is option A. If the height of the pyramid on the drawing was 3 1/2 inches, then the height of the actual pyramid is 98 feet
How do we compare inches to feet comparison on a replica?When a scale drawing or model is made, the actual object is typically much larger than the drawing or model. In order to represent the object in a smaller size, a ratio is used to scale down the dimensions. This ratio is can be in a fraction form or 'is to' form. We can use this ratio to easily calculate the dimensions of a replica from the actual object or vice versa.
To find the height of the actual pyramid, we need to use both scales given in the problem.
We can start by finding the height of the replica using the first scale:
1 inch on the drawing = 2 feet on the replica
So, 3.5 inches on the drawing = (3.5 * 2) feet on the replica = 7 feet on the replica
Now, using the second scale we can find the height of the actual pyramid:
1 foot on the replica = 14 feet on the actual pyramid
So, 7 feet on the replica = (7 * 14) feet on the actual pyramid = 98 feet
Therefore, the height of the actual pyramid is 98 feet.
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Horatio has $230 to be used only on his car. He
wishes to save $160 of this money and spend $24.95 on
an oil change. Horatio knows that gas costs $3.81 per
gallon. Which of the following show how many gallons
of gas (g) he could buy? Select all that apply.
A g≤11.82
B g≤60.37
C 3.81g ≤45.05
D 3.81g ≤ 230 +160+24.95
E 160 + 24.95 +3.81g ≤ 230
184.95 +3.81g ≤ 45.05
F 184.95 + 3.81g < 45.05
The statement that shows the quantity of gallons of gas that he can buy would be =g≤11.82. That is option A.
How to calculate the quantity of gallons Horatio is able to buy?The total number of money he has to spend on his vehicle = $230
The amount of money he wishes to save = $160
The remaining amount he can spend = 230+160 = $70
The amount he wishes to spend on oil change = $24.95
The remaining amount = 70-24.95
= $40.05
The cost per gallon of gas = $3.81 per gallon.
The quantity of gallons of gas he can purchase = 40.05/3.81 = 10.51 gallons.
Therefore the quantity of gallons of gas he can purchase would be g≤11.82
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Question 1
10 pts
Caroline conducted a survey to see if there is a relationship between the number of hours spent in a mall and the amount of money spent. The table provides the data she collected during her survey.
Respondent 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Time Spent (in hours) 2. 3.5 2.0 2.0 4.0 5.5 3.5 6.5 7.0 1.5 4.0 5.0 6.5 1.5 6.5
Amount Spend (in dollars) 85 75 50 125 35 60 50 120 150 65 120 135 175 80 165
Caroline wants to make a scatter plot of her survey. What scales should she use for the axes on her scatter plot? Select all that apply.
For the y-axis she should use a scale from 0 to 170 in 10-dollar intervals.
For the x-axis she should use a scale from 0 to 8 in one-hour intervals.
For the x-axis she should use a scale from 0 to 180 in 10-dollar intervals.
For the y-axis she should use a scale from 0 to 8 in 15-minute intervals.
For the x-axis she should use a scale from 0 to 8 in half-hour intervals.
For the y-axis she should use a scale from 0 to 180 in 5-dollar intervals.
The scale she use for the axes on her scatter plot are:
For the y-axis she should use a scale from 0 to 180 in 10-dollar intervals.
For the x-axis she should use a scale from 0 to 8 in one-hour intervals.
What is scatter plot?A scatter plot is a type of graph that displays values for two variables as a set of points on a two-dimensional coordinate system.
According to given information:For the y-axis she should use a scale from 0 to 180 in 10-dollar intervals.For the x-axis she should use a scale from 0 to 8 in one-hour intervals.These are the appropriate scales for the axes on Caroline's scatter plot as they will allow for a clear visualization of the relationship between the number of hours spent in the mall and the amount of money spent.
The y-axis should show the amount of money spent, and a scale from 0 to 180 in 10-dollar intervals will provide enough range to accommodate the highest value in the data set (175 dollars) and allow for clear and easy-to-read axis labels.
Similarly, the x-axis should show the time spent in the mall, and a scale from 0 to 8 in one-hour intervals will also provide enough range to accommodate the highest value in the data set (7 hours) and allow for clear and easy-to-read axis labels.
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During one week an overnight delivery company found that the weight of its parcels were normally distributed with a mean of 32 ounces and a standard deviation of 8 ounces.
What percent of the parcels weighed between 16 ounces and 40 ounces? Round your answer to one decimal place.
The percent of the parcels weighed between 16 ounces and 40 ounces is 81.9%.
What is z-score?To solve this problem, first, find the z-scores for the weights of 16 ounces and 40 ounces using the given mean and standard deviation:
z1 = (16 - 32) / 8 = -2
z2 = (40 - 32) / 8 = 1
Next, we need to find the area under the standard normal distribution curve between these two z-scores. We can use a standard normal distribution table or a calculator to find this area. Using a calculator, we get:
P(-2 < Z < 1) = 0.8186
So, approximately 81.9% of the parcels weighed between 16 ounces and 40 ounces.
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A square fence has a perimeter of (24x + 36) units. What is the length of one side of the fence?
Answer:
The perimeter of a square is four times the length of one side, so we can write:
4s = 24x + 36
Dividing both sides by 4, we get:
s = 6x + 9
Therefore, the length of one side of the fence is 6x + 9 units.
Step-by-step explanation:
A class plants 20 seeds. Only 60% of the seeds grow into plants. How many plants does the class have?
Answer:
If only 60% of the seeds planted by the class grow into plants, we can find the number of plants by multiplying the total number of seeds planted by the percentage of seeds that grow, expressed as a decimal.
To do this, we can start with the total number of seeds planted, which is 20, and multiply by 0.6:
20 x 0.6 = 12
Therefore, the class has 12 plants.
rate 5stars po if this helps you~ also, give thanks! for more! welcome po!
HELP URGENT PLEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEZE
350 is the answer
Step-by-step explanation:
I hope it helps
Suppose that you borrow $10,000 for four years at 8% toward the purchase of a car. Use PMT=
find the monthly payments and the total interest for the loan.
The monthly payment is
(Do not round until the final answer. Then round to the nearest cent as needed.)
ample
Get more help
Clear all
-|C
Check answer
Answer:
To find the monthly payments, we can use the PMT function in Excel or a financial calculator. The formula is:
PMT(rate, nper, pv)
where rate is the interest rate per period, nper is the total number of periods, and pv is the present value (i.e. loan amount).
For this problem, the interest rate is 8%/12 = 0.0066667 per month, the number of periods is 4 years * 12 months/year = 48 months, and the present value is $10,000. Therefore, the formula becomes:
PMT(0.0066667, 48, 10000)
Evaluating this formula gives a monthly payment of $242.42.
To find the total interest for the loan, we can multiply the monthly payment by the number of periods (i.e. 48) and subtract the loan amount. This gives:
total interest = monthly payment * number of periods - loan amount
total interest = $242.42 * 48 - $10,000
total interest = $2,678.16
Therefore, the monthly payments are $242.42 and the total interest for the loan is $2,678.16.
Step-by-step explanation:
The heights of tomato plants are Normally distributed with a mean of 3.56 feet and a standard deviation of 0.25 foot.
About what percent of tomato plants have a height less than or equal to 3.88 feet?
About what % of tomato plants have a height less than or equal to 3.88 feet. Round the percent to two decimal places, if necessary.
Answer:
We need to find the percentage of tomato plant that has a height less than or equal to 3.88 feet.
We know that the tomato plant heights are normally distributed with a mean of 3.56 ft and a standard deviation of 0.25 ft.
Thus, the percentage P(x≤3.88) of the heights being less than 3.88 can be calculated using the z-score z, given
Answer
About 89.97% of tomato plants.
Answer:
89.97%
Step-by-step explanation:
What is the critical value t* for constructing a 95% confidence interval for a mean from a sample size of n=20 observations?
The critical value t* for a two-tailed 95% confidence interval with 19 degrees of freedom is approximately 2.093.
How to determine the critical value tThe critical value t* depends on the degrees of freedom (df) and the desired level of confidence. For a 95% confidence interval and a sample size of n=20, the degrees of freedom would be df = n-1 = 19.
Using a t-distribution table with 19 degrees of freedom (since n-1=20-1=19), we can find the value of t* that corresponds to a 95% confidence level. For a two-tailed test (which is typically used for a confidence interval), the area in each tail is 0.025 (since 1 - 0.95 = 0.05, and we need to split this evenly between the two tails).
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The acceleration function (in m/s2) and the initial velocity v(0) are given for a particle moving along a line.
a(t) = 2t + 2, v(0) = −15, 0 ≤ t ≤ 5
Find the distance traveled during the given time interval.
I keep getting 25/3 but that is not correct :(
Answer:
[tex]\dfrac{137}{3}\approx 45.7\; \sf m[/tex]
Step-by-step explanation:
To find the velocity function, integrate the acceleration function (and add a constant of integration).
[tex]\begin{aligned}\displaystyle v(t)=\int a(t) &= \int (2t + 2)\; \text{d}t\\\\&=\int 2t \; \text{d}t+\int 2\; \text{d}t\\\\&=\dfrac{1}{2} \cdot 2t^{(1+1)}+2t+\text{C}\\\\&=t^2+2t+\text{C}\end{aligned}[/tex]
To find the constant of integration, C, substitute v(0) = -15 into the velocity function and solve for C:
[tex]\begin{aligned}v(0)=(0)^2+2(0)+\text{C}&=-15\\0+0+\text{C}&=-15\\\text{C}&=-15\end{aligned}[/tex]
Therefore, the velocity function (in m/s) is:
[tex]v(t)=t^2+2t-15[/tex]
As we want to find the distance travelled during the given time interval 0 ≤ t ≤ 5, we first need to determine if the particle momentarily stops at any point in the given interval (and therefore changes direction). The particle will stop when its velocity is zero, so when v(t) = 0:
[tex]\begin{aligned}v(t)&=0\\\implies t^2+2t-15&=0\\t^2+5t-3t-15&=0\\t(t+5)-3(t+5)&=0\\(t-3)(t+5)&=0\\\\\implies t&=3, -5\end{aligned}[/tex]
As time is positive only, the velocity is zero at t = 3 seconds.
Therefore, at t = 3, the particle changes direction and begins to move in the opposite direction. Therefore, the displacement between 0 ≤ t ≤ 5 consists of two parts: 0 ≤ t ≤ 3 and 3 ≤ t ≤ 5.
To find the distance travelled, first find the displacement function by integrating the velocity function:
[tex]\begin{aligned}\displaystyle s(t)=\int v(t) &= \int (t^2+2t-15)\; \text{d}t\\\\&= \int t^2\; \text{d}t+\int 2t\; \text{d}t-\int 15\; \text{d}t\\\\&=\dfrac{1}{3}t^3+t^2-15t\left(+\text{C}\right) \end{aligned}[/tex]
Distance is the absolute value of displacement.
As we want to find the distance travelled for the intervals 0 ≤ t ≤ 3 and 3 ≤ t ≤ 5, we need to add the absolute values of displacement for these intervals. So, the absolute values of the definite integrals for these intervals:
[tex]\begin{aligned}\textsf{Distance}&=\left|\int^3_0 v(t)\right|+\left|\int^5_3 v(t)\right|\\\\&=\left|\left[\dfrac{1}{3}t^3+t^2-15t\right]^3_0\right|+\left|\left[\dfrac{1}{3}t^3+t^2-15t\right]^5_3\right|\\\\&=\left|\left(\dfrac{1}{3}(3)^3+(3)^2-15(3)\right)-\left(\dfrac{1}{3}(0)^3+(0)^2-15(0)\right)\right|+\\&\left|\left(\dfrac{1}{3}(5)^3+(5)^2-15(5)\right)-\left(\dfrac{1}{3}(3)^3+(3)^2-15(3)\right)\right|\\\\&=\left|(-27-0)\right|+\left|\left(-\dfrac{25}{3}-(-27)\right)\right|\end{aligned}[/tex]
[tex]\begin{aligned}&=27+\dfrac{56}{3}\\\\&=\dfrac{137}{3}\end{aligned}[/tex]
Therefore, the total distance travelled during the given time interval is 137/3 ≈ 45.7 meters.
Suppose that $2000 is invested at an interest rate of 4.75% per year, compounded continuously. After how many years will the initial investment be doubled?
Do not round any intermediate computations, and round your answer to the nearest hundredth.
The initial investment will be doubled after approximately 14.6 years.
How long is required to double at a continuous compounding interest rate?The formula for continuous compounding is given by the formula A = Pe^(rt). We we want to find the time it takes for the initial investment to double, so we can set A = 2P and solve for t:
2P = Pe^(rt)
e^(rt) = 2
Taking the natural logarithm of both sides, we get:
rt = ln(2)
t = ln(2)/r
Substituting the values:
t = ln(2)/0.0475
t = 14.5925722223
t ≈ 14.6 years.
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Need Help fast please
A graph of the transformed function [tex]y=\frac{1}{(x+2)^2} +5[/tex] is shown in the image attached below.
What is a translation?In Mathematics and Geometry, the translation a geometric figure or graph to the left simply means subtracting a digit from the value on the x-coordinate of the pre-image;
g(x) = f(x + N)
On the other hand, the translation a geometric figure upward simply means adding a digit to the value on the positive y-coordinate (y-axis) of the pre-image;
g(x) = f(x) + N
Since the parent function is [tex]y = \frac{1}{x^{2} }[/tex], it ultimately implies that the transformed function would be created by translating the parent function to the left by 1 units and 5 units upward as shown below.
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The number of bacteria in a certain population is predicted to increase according to a continuous exponential growth model, at a relative rate of 12% per hour. Suppose that a sample culture has an initial population of 535 bacteria. Find the population predicted after two hours, according to the model.
Do not round any intermediate computations, and round your answer to the nearest tenth.
The population predicted after two hours is approximately 666.5 bacteria as they have exponential growth.
The continuous exponential growth model is given by the formula:
P(t) = P0 * [tex]e^{(rt)[/tex]
where P0 is the initial population, r is the relative growth rate (expressed as a decimal), t is the time in hours, and P(t) is the predicted population after t hours.
In this case, P0 = 535, r = 0.12 (12% per hour), and t = 2. Plugging in these values, we get:
P(2) = 535 * [tex]e^{(0.12*2)[/tex] ≈ 666.5
Therefore, the population predicted after two hours is approximately 666.5 bacteria (rounded to the nearest tenth).
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Plot the numbers -2 1/2 and 1 3/4 on the number line below.
Answer:
picture
Step-by-step explanation:
The distance between each big tick mark is 1, (for example take 2 and 1, 2 minus 1 equals to 1), however, in between each of these big tick marks are four small tick marks. The distance between each small tick mark is the distance between each big tick mark divided by the amount of small tick marks plus 1 (1 divided by 4, which is 1/4).
So in this number line you count by 1/4.
PLEASE HELP - A triangle with side lengths a, b, and c is shown below. Which statement about the side lengths must be true?
Answer:
A
Step-by-step explanation:
You want to know which inequality must be true regarding the side lengths of a triangle.
Triangle inequalityThe triangle inequality requires the sum of any two side lengths be greater than the length of the third side:
a + b > c . . . . . choice A
__
Additional comment
This means it must also be true that ...
a + c > b
b + c > a
Of course, this means the sum of the two shortest sides must be more than the longest side. It also means any side length must lie between the sum and difference of the other two side lengths:
|a - b| < c < a + b
The version of this inequality most often seen uses the > or < symbol. Some authors use the ≥ or ≤ symbol instead. This allows triangles that look like a line segment and have zero area.
Find the area of the triangle. The area is yd² (Simplify your answer.) 17.5 yd 42 yd 45.5 yd
Does tom have a legitament gripe?
Tom can choose from 7,000 possible schedules if every possible course is available at the time he's registering.
Tom can choose 22,400 possible schedules when the number of acceptable courses is doubled. The number of possible schedules is increased by a factor of approximately 3.2
What is the course available?(a) If every possible course is available at the time Tom is registering, he can choose from:
5 choices for English x 5 choices for History x 5 choices for Math/Stats x 8 choices for Computer Science x 7 choices for general Science
= 5 x 5 x 5 x 8 x 7
= 7000 possible schedules.
(b) If the number of acceptable courses in each of the five areas is doubled, Tom can choose from:
10 choices for English x 10 choices for History x 10 choices for Math/Stats x 16 choices for Computer Science x 14 choices for general Science
= 10 x 10 x 10 x 16 x 14
= 22400 possible schedules.
The number of possible schedules is increased by a factor of:
22400 / 7000 = 3.2 (approximately)
So the number of possible schedules is increased by a factor of approximately 3.2 when the number of acceptable courses is doubled in each of the five areas.
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See text below
While making up his schedule for spring semester, Tom complains that he doesn't have very many choices of schedule because of the general education requirements he has to meet. His advisor tells Tom that he has to take one course from each of English (5 choices), History (5 choices), Math/Stats (5 choices), Computer Science (8 choices), and general Science (7 choices). Does Tom have a legitimate gripe?
(a) If every possible course is available at the time he's registering, how many possible schedules can he choose from (disregarding when the classes meet)?
Tom can choose -------- from possible schedules.
(b) In an unprecedented effort to make the general education requirements more accessible, the dean of Tom's college decides to double the number of acceptable courses in each of those five areas. What effect does this have on the number of possible schedules?
Tom can choose ----------- from possible schedules when the number of acceptable courses are doubled. The number of possible schedules is increased by a factor of-------
During 2022, Sam Reed purchased 350 shares of common stock issued by New Generation Electronics for $7800 including commission. Later in the same year, Sam sold the shares for $8400 after commission. Calculate the following. (Round all answers to two decimal places.)
1. Profit on this stock transaction: $
2. Percentage return on investment: %
This stock trade generated a profit of $600 and a 7.69% return on investment.
The total amount received from selling the shares, after commission.
The total cost of purchasing the shares = $7800
Total amount received from selling the shares = $8400
The commission paid for purchasing the shares and for selling the shares will cancel out since they will both be subtracted, so we do not need to consider them.
Profit on this stock transaction = Total amount received - Total cost of purchasing
= $8400 - $7800
= $600
To calculate the percentage return on investment, we need to divide the profit by the total cost of purchasing the shares, and then multiply by 100 to express it as a percentage.
Percentage return on investment = (Profit / Total cost of purchasing) x 100%
= ($600 / $7800) x 100%
= 7.69%
Therefore, the profit on this stock transaction was $600 and the percentage return on investment was 7.69%.
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Tickets numbered 1−10 are drawn at random and placed back in the pile. Find the probability that at least one ticket numbered with a 6 is drawn if there are 4 drawings that occur. Round your answer to two decimal places.
Answer:
The probability that atleast one ticket labeled 2-6 is drawn is 0.94
Numbered ticket = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
Number of draws = 4
Required picks = {2, 3, 4, 5, 6}
Recall :
Probability = required outcome / Total possible outcomes
Probability of choosing a required ticket :
5/10 = 1/2
Therefore, the probability that none of the required tickets is chosen :
(1/2 × 1/2 × 1/2 × 1/2) = 1/16
The probability that atleasr one ticket labeled 2-6 is drawn is :
1 - P(none is chosen) = 1 - 1/16 = 15/16 = 0.9375
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Find subject and predicate 1. Down went the Cumberland
Angles in a Triangle
Answer:
Step-by-step explanation:
Z:
the angle b/n z and 65 is 90 b/c its a square and they are found on a straight line (180)
- 65 + 90 + z = 180
-155 + z = 180
-z= 180 - 155= 25
x:
-x + 90 = 180
- x= 180 - 90 = 90
y:
in this case now we have an inner triangle which has only one missing angle so as we know for any triangle ABC; <A + <B + <C = 180 so
- y + x + 65=180
-y+ 90 + 65= 180
-y=180 - 155
- y = 25
Need help asap please!
Answer:
[tex]2 \dfrac{1}{2}[/tex] OR [tex]\dfrac{5}{2}[/tex]
Step-by-step explanation:
We can see that there are 2 whole shaded circles, and there is 1 half shaded circle.
Therefore, we can represent the shaded area as [tex]\bold{2 \dfrac{1}{2}}[/tex] circles.
We can convert this mixed number to an improper fraction by multiplying the whole number by the denominator and adding the resulting value to the numerator.
[tex]2 \dfrac{1}{2}[/tex]
[tex]= \dfrac{(2 \times 2) + 1}{2}[/tex]
[tex]= \dfrac{5}{2}[/tex]
The one-to-one functions g and h are defined as follows.
Fro the one to one functions g and h defined, the value of :
g⁻¹(6) = 2
h⁻¹(x) = 7x + 8
(h⁻¹ o h)(1) = 1
Given one to one functions h and g.
We have that,
g(2) = 6
So, g⁻¹(6) = 2
We have,
y = (x - 8) / 7
Switch x and y.
x = (y - 8) / 7
7x = y - 8
y = 7x + 8
So, h⁻¹(x) = 7x + 8
(h⁻¹ o h) (x) = h⁻¹ (h(x))
= h⁻¹ ((x - 8) / 7)
= 7 ((x - 8) / 7)) + 8
= x - 8 + 8
= x
(h⁻¹ o h) (1) = 1
Hence the functions are found.
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an aquarium is 3 feet wide, 1.5 feet tall, and 5 feet long. The bottom is covered with gravel to a height of 3 inches. the tank will be filled with water to 3 inches below the top. what is the volume of the tank that will be filled with water in ft cubed
The volume of the tank that will be filled with water through which the given relation is satisfied is [tex]22.5ft^{3}[/tex]
What about volume of cuboid?
The volume of a cuboid is the amount of space occupied by the three-dimensional solid figure known as a cuboid. A cuboid is a box-shaped object with six rectangular faces, where each face has a pair of parallel sides, and opposite faces are equal in size and shape.
The formula for calculating the volume of a cuboid is:
Volume = length x width x height
where length, width, and height are the three dimensions of the cuboid.
The unit of measurement for the volume of a cuboid will depend on the unit of measurement used for each dimension. For example, if the length, width, and height are measured in centimeters, then the volume of the cuboid will be expressed in cubic centimeters (cm³). Similarly, if the dimensions are measured in meters, the volume will be expressed in cubic meters (m³).
According to the given information:
As, we know that volume of cuboid is = length x breath x height
Here, length = 5 feet, breath = 3 feet and height = 1.5 feet
Volume of the aquarium = 5 x 3 x 1.5 = [tex]22.5ft^{3}[/tex]
So, the given result is [tex]22.5ft^{3}[/tex]
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According to the association of public and land grant universities (aplu) graduate students represents only 15% of post secondary students, but account for approximately 40% of the current student loan balances if the nations current studen loan balance is at 1.5 trillion estimate the amount of student debt held by graduate students by converting 1.5 trillion and 40% (0.4 as a decimal) to scientific notation then multiplying, give your answer in scientific notation.
Choose a correct name for the line shown. C B A overleftrightarrow BB overleftrightarrow AB AC BC
Note that the best name for the line segment indicated is [tex]\overleftrightarrow {AB}[/tex]
What is a line segment?A line segment is a section of a straight line that is bounded by two different end points and contains every point on the line between them. The Euclidean distance between the ends of a line segment determines its length.
Other types of lines are:
Lines that are parallel. Two lines in the same plane, either intersecting or not.
Lines that cross. Intersecting lines are two or more lines that cross in a plane.
Lines that are concurrent. Concurrent lines are defined as numerous lines that cross through each other at the same place.
Points that are curved.
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Full Question:
See attached image.
Anthony, Peter, Francis, and Christopher
are in a race. The first three to finish will
receive ribbons. Which is more probable-
that both Anthony and Peter will receive
ribbons, or that Peter will finish ahead of
Francis and Christopher?
Answer: it is more probable that Peter will finish ahead of Francis and Christopher than that both Anthony and Peter will receive ribbons.
Share Prompt
Step-by-step explanation:
PLEASE HELP!! find angle RVU
Answer:
110.5
Step-by-step explanation:
The first step is to find the measure of angle RVT
Angle Formed by Two Chords= 1/2(SUM of Intercepted Arcs)
RVT = 1/2 ( 97+42)
RVT =1/2 ( 139)
RVT = 69.5
Now RVT and RVU equals a straight line so they add to 180
RVT + RVU = 180
69.5 + RVU = 180
RVU = 110.5
Use the fact that m/LCR = 90° in circle C below to answer the following items.
a. If CQ is an angle bisector of ZLCR, what is
m/LCQ?
b. Identify two major arcs.
c. Name two congruent minor arcs.
d. Name three adjacent arcs that form a semicircle.
Answer:
a. 45°
b. Arc KPR and Arc RLP
c. Arc PR and Arc RL
d. Arc LQ, Arc QR, and Arc RP
Step-by-step explanation:
a. 90/2=45°
b. Observation
c. They both have measures of 90 degrees
d. Arc Addition Postulate
Answer:
see below
Step-by-step explanation:
angle lcr appears to be a right angle
therefore if a line bisects LCR it would split the angle into 2 congruent halves:
so
90/2=45
m<LCR=45
b) arc KP and arc PR
c)
arc KL and arc LQ
d) arc PR, arc RQ and arc QL
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For this graph, write the limits which describe the end-behavior of this graph.
The limits which describe the end behavior of the function are given as follows:
[tex]\lim_{x \rightarrow -\infty} f(x) = 1[/tex][tex]\lim_{x \rightarrow \infty} f(x) = 0[/tex]What is the end behavior of a function?The end behavior of a function refers to how the function behaves as the input variable (typically denoted as x) approaches positive or negative infinity. In other words, the end behavior describes the long-term behavior of the function as x becomes very large (either positively or negatively).
We can see that the left of the graph approaches y = 1, hence the limit is given as follows:
[tex]\lim_{x \rightarrow -\infty} f(x) = 1[/tex]
The right of the graph approaches y = 0, hence the limit is given as follows:
[tex]\lim_{x \rightarrow \infty} f(x) = 0[/tex]
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