In circle P, if m(QR) = 80 , and m(QRT) = 39 , m(QPR) = 39 and m(PT) = 78
Based on the information given, we know that:
- m(QR) = 80 (this is the measure of arc QR)
- m(QRT) = 39 (this is the measure of angle QRT)
To find the other measures, we can use the following formulas:
- The measure of a central angle is equal to the measure of its intercepted arc
- The measure of an inscribed angle is half the measure of its intercepted arc
Using these formulas, we can find the measure of angle QPR and the measure of arc PT as follows:
- m(QPR) = m(QRT) = 39 (since angle QRT and angle QPR intercept the same arc QR)
- m(PT) = 2 * m(QRT) = 78 (since angle QRT and angle PQT intercept the same arc PT, and the measure of an inscribed angle is half the measure of its intercepted arc)
So the final answers are:
- m(QR) = 80
- m(QRT) = 39
- m(QPR) = 39
- m(PT) = 78
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Statistics show that if a robbery is not solved within this amount of time, it will likely not be solved?
Statistics suggest that if a robbery remains unsolved for a specific period of time, it is highly unlikely to be solved according to available data.
Based on statistical analysis, there is a critical time frame within which the chances of solving a robbery are significantly higher. While the exact duration may vary depending on various factors such as the nature of the crime, available evidence, investigative resources, and the efficiency of law enforcement agencies, data suggests that the probability of solving a robbery declines as time progresses. This could be attributed to factors like fading memories of witnesses, loss of crucial evidence, or the diversion of investigative efforts to other cases. Consequently, prompt and diligent investigative work is crucial for increasing the likelihood of solving a robbery before it becomes increasingly difficult to resolve.
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suppose you roll a pair of six-sided dice and add their totals. the probabillity model is given below. sum 2 3 4 5 6 7 8 9 10 11 12 probabilty 1 36 1 18 1 12 1 9 5 36 1 6 5 36 1 9 1 12 1 18 1 36 (a) what is the probability that the sum of the numbers on your dice is a number other than 11?
Using Probability, we get
the probability that sum of numbers is other than 11 is 17/18 .
We have provided a table with some results .
A pair of six-sided dice is rolled then total number of possible outcomes= 6×6 = 36 .
given table is like as :
Sum. Probability
2 1/36
3 1/18
4 1/12
5 1/9
6 5/36
7 1/6
8 5/36
9 1/9
10 1/12
11 1/18
12 1/36
we have to calculate the total that the sum of the numbers on your dice is a number other than 11.
As we see in above data ,
Probability that the sum of number on dice is 11
= 1/18
P( Sum is other than 11 ) = 1 - P( sum is 11)
=> P( Sum is other than 11 ) = 1 - 1/18 = 17/18
Hence, the required probability is 17 /18.
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what is the probability that the censorship attack will succeed in terms of α? hint: express the probability of the fork succeeding from each active state in the state machine above
The probability of a censorship attack succeeding in terms of α (the attacker's mining power) can be calculated using the state machine representing the possible chain forks.
The attacker's success probability relies on their ability to maintain a longer private chain and ultimately replace the honest chain. The success probability depends on the attacker's mining power (α), the honest network's mining power (1-α), and the current state of the chain forks.
In general, the probability of a fork succeeding from each active state in the state machine can be calculated using a recursive approach, taking into account the likelihood of the attacker mining a block and the honest network mining a block. By evaluating these probabilities for different values of α, one can estimate the likelihood of a successful censorship attack. Remember that higher α values increase the attacker's chances of success, while lower values make it more difficult to carry out such an attack.
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an urn contains 5 blue balls and 6 orange balls. in how many ways can we select 1 blue balls and 2 orange balls from the urn? a) 17 b) 75 c) 35 d) 149 e) 30 f) none of the above.
Using the formula of combination and probability theorem , The answer is b) 75.
What do you mean by combination?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant.
What is the formula of combination?The formula for combination is:
\(C(n,r) = \frac {n!}{r!(n-r)!}\)
selecting 1 blue ball from 5 blue balls = C(5,1)
=5
selecting 2 orange balls from 6 balls = C(6,2)
=15
Total ways of selection = 5*15=75
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Two similar triangles are shown. What is the measure of ∠P?
Answer:
68.2
Step-by-step explanation:
if the triangles are similar then all of the angles are the same. The only thing that changes is the side lengths.
Answer:
\(63.2\)°
Step-by-step explanation:
since the triangles are similar they have identical angle measures are the same
however you could solve it this way too:
\(A+B+C=180\)
all measures of a triangle add up to 180
\(23.8+90+C=180\)
\(116.8+C=180\)
\(C=63.2\)
anyone know how to do this PLEASE....pic below 20pts..
Answer:
Option 1 and Option 5
Step-by-step explanation:
Option 1uses distributive property and simplifies.
Option 5 uses distributive property but does not simplify. Still equivalent.
Answer:
The top and the bottom one
Step-by-step explanation:
the ratio of boys and girs at rotterdam high school is 3:5. there are 160 students at the school calculate the number of boys and the number of girls at rotterdam high school
Answer:
There are 60 boys and 100 girls at Rotterdam High SchoolStep 1: Add the ratios
=> 3 + 5=> 8Step 2: Divide 160 by 8.
=> 160 ÷ 8=> 20Step 3: Multiply.
=> Total students of boys: 20 x 3 = 60 students=> Total students of girls: 20 x 5 = 100 studentsTherefore, there are 60 boys and 100 girls at Rotterdam High School
Hoped this helped.
\(BrainiacUser1357\)
Harry maid fruit punch using 2 parts Orange juice to 3 parts of soda water. The amount of soda water that Henry used is directly proportional to the amount of orange juice used. How many cups of orange juice should henry use with 18 cups of soda water?
Answer:
Step-by-step explanation:
j represents the amount of juice
2 : 3 :: j : 18 proportion
3j = (2)(18)
The mean temperature for the first 4 days in January was -3°C.
The mean temperature for the first 5 days in January was -2°C.
What was the temperature on the 5th day?
Answer:
2°C
Step-by-step explanation:
5 × ( - 2 ) - 4 × ( - 3 ) = - 10 + 12 = 2
The temperature on the 5th day is 2°C .
what is the critical value for 96 confidence interval for a sample size of 15
The critical t-value is approximately 1.753.
To find the critical value for a 96% confidence interval with a sample size of 15, we need to determine the t-value from the t-distribution table. The t-distribution table is a statistical tool used to determine the probability of a t-value given the degrees of freedom (df) and the desired level of significance (α).
In this case, we have a sample size of 15, which means our degrees of freedom are 14 (n - 1). Looking at a t-distribution table for 14 degrees of freedom and a 96% confidence interval.
This means that if we were to construct a confidence interval from a sample size of 15, the margin of error would be calculated by multiplying the critical t-value of 1.753 by the standard deviation of the sample and dividing by the square root of the sample size. The resulting interval would contain the population mean with 96% confidence.
It's essential to note that the critical value will change as the sample size and confidence level change. Therefore, it's crucial to use the correct table to find the corresponding critical values for a given dataset's sample size and confidence level.
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5/2 times 1/3 times 3/4?? Help pls!
Answer: 5/8
Step-by-step explanation:
Answer: I asked my Alexa and she said that it was 0.625
Assume the length of female humpback whales can be modeled with a normal distribution with a mean of 13.7 meters and a standard deviation of 0.5 meters. 65% of female humpback whales are shorter than what length?
65% of female humpback whales are shorter than 14.1565 meters.
Given that, a normal distribution with a mean of 13.7 meters and a standard deviation of 0.5 meters.
We know that, Z=(x-μ)/σ
Z=standard score, x=observed value, μ=mean of the sample and σ=standard deviation of the sample
The z-score for the 65th percentile is 0.8416
Here, where x = the 65th percentile, μ = the mean value, and σ = the standard deviation.
So, we can rearrange the formula as follows:
x = z × σ + μ
Substituting the values:
x = 0.8413 × 0.5 + 13.7
x = 14.1565 meters
Therefore, 65% of female humpback whales are shorter than 14.1565 meters.
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Find the area of the figure. (Sides meet at right angles.)
Answer:
The answer would be 50m units squared.
14x - 12 = 16
PLS HELP HURRY
Answer:
\(\fbox {x = 2}\)
Step-by-step explanation:
Given :
14x - 12 = 16
Add 12 to each side :
14x - 12 + 12 = 16 + 12
14x = 28
Divide each side by 14 :
14x/14 = 28/14
x = 2
if clare goes to the bank every 7 days and clare go's to the bank every 5 days what day will they bolth go to the bank
Please help me Find the x
4.875 = d - 2.125
what do I do here?
Answer:
d=7
Step-by-step explanation:
7-2.125= 4.875
7 is your answer as it balances both sides of the equation.
i got seven by adding 2.125. to 4.875
Answer:
Step-by-step explanation:
1. add 2.125 to both sides of your equation
4.875 = d - 2.125
+2.125 +2.125
7 = d
The d is now isolated which allows us to see the answer is 7 for d
l2x-2l = 8
what are the solutions of the equations
Answer:
x=5
Step-by-step explanation:
The absolute value is positive, so the equation stays the same:
2x-2=8
Add 2 on both sides:
2x=10
Solve:
x=5
Answer:
x=29/12
Step-by-step explanation:
Let's solve your equation step-by-step.
12x−21=8
Step 1: Add 21 to both sides.
12x−21+21=8+21
12x=29
Step 2: Divide both sides by 12.
12x/12 = 29/12
x=29/12
A sporting goods store manager was selling a ski set for a certain price. The manager offered the markdowns shown, making the one-day sale price of the ski set $
322. Find the original selling price of the ski set.
The original selling price would be $ 514.87approximately.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Consider x be the original selling price After marking down 10%,
Then New selling price = x - 10 % of x
= 0.9x
Again after marking down 30%, then equation form
Final selling price = 0.9x - 30% of 0.9x
Final selling price = 0.9x - 0.30 of 0.9x
Final selling price = 0.63x
According to the question,
0.63x = 322
x = 514.87
Hence, The original selling price would be $ 514.87approximately.
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Use the accompanying tables of Laplace transforms and propertie that an appropriate trigonometric identity may be necessary. sin6tsin7t Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. Express sin6tsin7t as a difference of cosines. sin6tsin7t= L{sin6tsin7t}=
The Laplace transform of sin(6t)sin(7t) is (1/2)[s / (s^2 + 1) - s / (s^2 + 169)].
To express sin(6t)sin(7t) as a difference of cosines, we can use the trigonometric identity:
sin(a)sin(b) = (1/2)[cos(a - b) - cos(a + b)]
In this case, a = 6t and b = 7t. Substituting these values into the identity, we have:
sin(6t)sin(7t) = (1/2)[cos(6t - 7t) - cos(6t + 7t)]
Simplifying further:
sin(6t)sin(7t) = (1/2)[cos(-t) - cos(13t)]
Now, let's find the Laplace transform of sin(6t)sin(7t) using the given tables of Laplace transforms and properties:
L{sin(6t)sin(7t)} = (1/2)[L{cos(-t)} - L{cos(13t)}]
Using the property of Laplace transforms for cosine functions, we have:
L{cos(at)} = s / (s^2 + a^2)
Applying this property to the above expression, we get:
L{sin(6t)sin(7t)} = (1/2)[s / (s^2 + 1) - s / (s^2 + 169)]
Simplifying further, we have:
L{sin(6t)sin(7t)} = (1/2)[s / (s^2 + 1) - s / (s^2 + 169)]
This is the Laplace transform of sin(6t)sin(7t) expressed as a difference of cosines.
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I WILL GIVE BRAINLIEST!!!Tameca reads 0.5 page per minute. How many pages
can Tameca read in 10 minutes?
Answer:
5 Pages
Step-by-step explanation:
what proportion of z-scores are outside the interval z = −2.65 and z = 2.65?
To determine the proportion of z-scores that fall outside the interval from z = -2.65 to z = 2.65, we need to calculate the area under the standard normal curve outside this interval. This can be done by subtracting the area under the curve between -2.65 and 2.65 from 1. The resulting value represents the proportion of z-scores that are outside the given interval.
The standard normal distribution has a mean of 0 and a standard deviation of 1. The interval from z = -2.65 to z = 2.65 represents a range of 2.65 standard deviations to the left and right of the mean.
To calculate the proportion of z-scores outside this interval, we need to find the area under the standard normal curve between -2.65 and 2.65. This area represents the proportion of z-scores within the interval.
We can use a standard normal distribution table or statistical software to find the area under the curve between -2.65 and 2.65. Once we have this value, we subtract it from 1 to obtain the proportion of z-scores that fall outside the interval.
Therefore, the proportion of z-scores outside the interval from z = -2.65 to z = 2.65 is 1 minus the area under the standard normal curve between -2.65 and 2.65.
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The label on a 212 -pound bag of wildflower seeds states that it will cover an area of 425 square feet. Based on this information, what is the number of square feet that 1 pound of wildflower seeds will cover? Show all work
To find the number of square feet that 1 pound of wildflower seeds will cover, we can set up a proportion using the given information.
Let's assume that "x" represents the number of square feet that 1 pound of wildflower seeds will cover. We can set up the proportion as follows:
212 pounds / 425 square feet = 1 pound / x square feet
To solve for "x," we can cross-multiply and solve the resulting equation:
212 * x = 1 * 425
212x = 425
Dividing both sides of the equation by 212:
x = 425 / 212
Simplifying the division:
x = 2
Therefore, 1 pound of wildflower seeds will cover an area of 2 square feet based on the given information and the calculated proportion.
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Line q has an equation of y = -10/9x+ 2. Line r includes the point (9, -3) and is parallel to
line q. What is the equation of line r?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified
pro
fractiong imn
-fractions or intogoro
The equation of the line r is y = ₋(10/9)x ₊ 7.
Given, parallel lines have the same slope. Solve for the slope in the first line by converting the equation to slope intercept form
equation of line q is y = ₋10/9x ₊ 2
it's already in slope intercept form.
hence slope is:
m = (₋10/9) from the above the equation.
we know that the second line will also have a slope of ₋10/9 and we are given the point (9 , ₋3). We can setup an equation in slope intercept form and use these values to solve for the y inetrcept.
y = mx ₊ b
₋3 = ₋10/9 (9) ₊ b
₋3 = ₋10 ₊ b
b = 7
plug the y intercept back into the equation to get our final answer.
y = ₋(10/9)x ₊ 7
hence we get the equation of the line r as y = ₋(10/9)x ₊ 7.
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Find the 15th term of the arithmetic sequence x+3, -x-1, -3x-5, ...
A company determines that its weekly online sales, Upper S (t ), in hundreds of dollars, t weeks after online sales began can be estimated by the equation below. Find the average weekly sales for the first 3 weeks after online sales began. Upper S (t )equals2 e Superscript t
Answer:
$1272.36 ( average weekly sales for first 3 weeks )
Step-by-step explanation:
weekly online sales = S(t)
Determine average weekly sales for first 3 weeks
S(t) = 2e^t
total sales = ∫ S(t) dt
∴ Average weekly sales for first 3 weeks ( note : S(t) = 2e^t )
= \(\int\limits^3_0 {2e^t \, dt / ( 3 - 0 )\)
= 2 [ e^t ] ³₀ / 3 = 2 ( e^3 - e^0 ) / 3 = 2 ( 6.3618 ) = 12.7236 hundreds
= $1272.36 ( average weekly sales for first 3 weeks )
Consider the following graph. у 5 5 -4 -3 2 1 1 2. 2 3 4 5 6 (a) Find the interval(s) on which fis increasing. (Enter your answer using interval notation.) (b) Find the interval(s) on which fis decreasing. (Enter your answer using interval notation.) (c) Find the open interval(s) on which fis concave upward. (Enter your answer using interval notation.) (d) Find the interval(s) on which fis concave downward. (Enter your answer using interval notation.) (e) Find the coordinates of the point(s) of inflection. (x,y) = -([ The graph of the derivative f' of a function fis shown. y= f'(x) A 0 2 X 4 6 (a) on what intervals is fincreasing? (Enter your answer using interval notation.) On what intervals is f decreasing? (Enter your answer using interval notation.) (b) At what values of x does f have a local maximum or local minimum? (Enter your answers as a comma-separated list.)
Answer:
Consider the following graph
(a) Find the interval(s) on which fis increasing. (Enter your answer using interval notation.) = (1,3)U(4,6).
(b) Find the interval(s) on which fis decreasing. (Enter your answer using interval notation.) = (0,1)U(3,4).
(c) Find the open interval(s) on which fis concave upward. (Enter your answer using interval notation.) = (0,2).
(d) Find the interval(s) on which fis concave downward. (Enter your answer using interval notation.) = (2,4)U(4,6).
(e) Find the coordinates of the point(s) of inflection. (x,y)
= (2, 3), (4, 1)
The graph of the derivative f' of a function fis shown.
(a) on what intervals is f increasing? (Enter your answer using interval notation.) = (0,1)U(3,5)
(b) On what intervals is f decreasing? (Enter your answer using interval notation.) = (1,3)U(5,6)
(c) At what values of x does f have a local maximum or local minimum? (Enter your answers as a comma-separated list.) = 1,3,5
Find the equation of the line that passes through A and B
Answer:
\(m = \frac{7 - 3}{4 - 2} = \frac{4}{2} = 2\)
y - 3 = 2(x - 2)---point-slope form
y - 3 = 2x - 4
y = 2x - 1---slope-intercept form
-2x + y = -1
2x - y = 1---standard form
How do you write 7460 in standard form?
Answer:
7460
Step-by-step explanation:
To write a linear expression in standard form, rearrange the terms in alphabetical order.
7460
Answer:
a = 7.46
7.46 x 103
103 = 1,000 x 7.46 = 7,460
here your answer
hope it helps you
The triangle below a perimeter of 8x-2 what is the length of the missing side