Answer:
1. -12 2. you get - 3. -6
Step-by-step explanation:
Well hope that makes sense. Please heart.
12 plus -12 is 0. -3 plus 2 is -1 or -. -4 plus -2 is -6.
You add -12 to 12 to make it zero.
If you have - - - and add + + you get -1.
If you have - - - - and add - - you get -6.
Consider results of 20 randomly chosen people who have run a marathon. Their times, in minutes, are as follows: 137, 143, 153, 162, 168, 176, 190, 192, 196, 203, 218, 223, 236, 243, 252, 269, 271, 276, 283, 287. Calculate a 99% upper confidence bound on the mean time of the race. Assume distribution to be normal. Round your answer to the nearest integer (e.g. 9876). u
According to the question we have the 99% UCB on the mean time of the race is 223.
The formula for finding the upper confidence bound (UCB) is UCB = Mean + (Zα/2)(σ/√n), where Mean is the sample mean, Zα/2 is the z-score for the desired level of confidence, σ is the population standard deviation (which is not given, so we'll use the sample standard deviation instead), and n is the sample size.
We are given the sample of times as follows:137, 143, 153, 162, 168, 176, 190, 192, 196, 203, 218, 223, 236, 243, 252, 269, 271, 276, 283, 287.
We'll need to calculate the sample mean and standard deviation before we can find the UCB. Using a calculator, we get: mean ≈ 207.65s ≈ 48.41 Next, we'll use a table or calculator to find the z-score for a 99% confidence interval, which is Zα/2 = 2.576.
Now we can plug in the values we know to get the UCB:UCB = mean + (Zα/2)(σ/√n)UCB ≈ 207.65 + (2.576)(48.41/√20)UCB ≈ 223.02 .Therefore, the 99% UCB on the mean time of the race is 223.
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Austin keeps a right conical basin for the birds in his garden as represented in the diagram. The basin is 40 centimeters deep, and the angle between the sloping sides is 77°. What is the shortest distance between the tip of the cone and its rim?
Answer:
51.15 cm
Step-by-step explanation:
Data provided
Basin = 40 centimeters deep
The Angle between the sloping sides = 77°
The calculation of the shortest distance between the tip of the cone and its rim is shown below:-
The angle will get divided and the angle is as follows
\(\frac{77^\circ}{2}=38.5^\circ\)
Here In the first triangle, we will follow "Cosine formula" which follows:-
\(\cos 38.5^\circ=\frac{Base}{Hypotenuse}\)
\(cos 38.5^\circ=\frac{40}{Hypotenuse}\)
\(\\\\0.782=\frac{40}{Hypotenuse}\)
\(\\\\Hypotenuse=\frac{40}{0.782}\)
\(=51.15\ cm\)
Answer:
D. 51.1 centimeters
Step-by-step explanation:
Correct for plato users
A clothing manufacturer is examining the efficiency of its factories. All of its factories produce an average of 1,250 pairs of jeans each month, with a standard deviation of 125 pairs of jeans, normally distributed. How many pairs of jeans produced separates the lowest 33% of the means of jean production from the highest 67% in a sampling distribution of 12 factories
Using the normal distribution, it is found that 1234 pairs of jeans produced separates the lowest 33% of the means of jean production from the highest 67% in a sampling distribution of 12 factories.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).For this problem, the parameters are given by:
\(\mu = 1250, \sigma = 125, n = 12, s = \frac{125}{\sqrt{12}} = 36.08\)
The desired amount is the 33rd percentile, which is X when Z = -0.44, hence:
\(Z = \frac{X - \mu}{\sigma}\)
By the Central Limit Theorem
\(Z = \frac{X - \mu}{s}\)
-0.44 = (X - 1250)/36.08
X - 1250 = -0.44 x 36.08
X = 1234.
1234 pairs of jeans produced separates the lowest 33% of the means of jean production from the highest 67% in a sampling distribution of 12 factories.
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If f(x) = 2x2
+3 and g(x) = x2 - 7, find (f + g)(x).
A. x² - 4
B. X2 + 10
C. 3x2 - 4
D. 3x2 - 10
Answer:
Im stupid so dont trust me but imma guess and say c
Answer:
YEH its B X to the second power Plus 10
Step-by-step explanation:
Which type of function best models the given data?
Answer:
3)
Step-by-step explanation:
Draw the graph and youll see
Answer:
Exponential growth function
Step-by-step explanation:
It multiplies by 3 each time
Kylie is ordering 9 pizzas for her party. Each pizza is either thin crust or deep dish. Each thin crust pizza costs $20, and each deep dish pizza costs $8 more. If her total including 10% tax is $242, how many thin crust pizzas did she order?
A. 2
B. 3
C. 4
D. 5
E. 8
Answer:
the answer is A. 2 thin crust pizzas
Graph the line that represents this equation y= -5x + 2
Answer:
Graph this points u will get the line.
(0,2) (2/5,0)
Step-by-step explanation:
The intercept of line with x-axis is at (0.4, 0) and with y-axis is at (0, 2).
What is the graph of the function?The collection of all coordinates in the planar of the format [x, f(x)] that make up a variable function's graph.
The equation of the line is given below.
y = – 5x + 2
Put y = 0, then the x-intercept will be
0 = – 5x + 2
x = 2/5
x = 0.4
The x-intercept is (0.4, 0).
Put x = 0, the y-intercept will be
y = – 5(0) + 2
y = 2
The y-intercept is (0.4, 0).
Then the equation of line is drawn below.
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Square root of 32 x square root of 1 over 18
\( \sqrt{32} \times \sqrt{ \frac{1}{18} } \\ = \sqrt{32} \times \frac{ \sqrt{1} }{ \sqrt{18} } \\ = \sqrt{32} \times \frac{1}{ \sqrt{18} } \\ = \frac{\sqrt{2 \times 2 \times 2 \times 2 \times 2}}{ \sqrt{2 \times 3 \times 3} } \\ = \frac{ \sqrt{ {2}^{2} \times {2}^{2} \times 2} }{ \sqrt{2 \times {3}^{2} } } \\ = \frac{2 \times 2 \times \sqrt{2} }{3 \times \sqrt{2} } \\ = \frac{4 \times \sqrt{2} }{3 \times \sqrt{2} } \\ = \frac{4}{3} \)
Answer:\( \frac{4}{3} \)
Hope it helps...ray4918 here to help
What is the
circumference of a
circle with a radius of
3 inches? (show work)
Answer:
18.84 inches
Step-by-step explanation:
circumference of a circle = diameter x pi
diameter = radius x 2
==> circumference = radius x 2 x pi = 3 in x 2 x 3.14 = 18.84 in
Mosquitoes are annoying insects. To eliminate mosquito larvae, a certain granular substance can be applied to standing
water in a ratio of 1 tsp per 15 sq ft of standing water.
a. At this rate, find how many teaspoons of granules must be used for 270 sq ft.
b. If 3 tsp = 1 tbsp, how many tablespoons of granules must be used?
a.
teaspoons of granules must be used.
Answer: a. 18 teaspoons
b. 6 tablespoons
Step-by-step explanation:
a. 1 tsp: 15 sq ft
270 sq ft * 1 tsp/15 sq ft=
270 * 1/15=
270/15=18 teaspoons
b. 3 tsp = 1 tbsp
18 tsp * 1 tbsp/3 tsp=
18 * 1/3=
18/3=6 tablespoons
a 18 gram sample of a substance that's used to detect explosives has a k-value of 0.1226
Answer:
Given:
Initial mass = 18 g
k-value = 0.1226
The mass at time t (days) is
At half life, m = 18/2 = 9 g.
The time for half life is given by
Therefore
ln(1/2) = -0.1226t
Hence obtain
t = ln(1/2) / -0.1226
= 5.654 days
Answer: 5.7 days (nearest tenth)
or
For this problem, we use the formula for radioactive decay which is expressed as follows:
An = Aoe^-kt
where An is the amount left after time t, Ao is the initial amount and k is a constant.
We calculate as follows:
A0 = 18
An = 18/2 = 9
k = 0.125
9 = 18 e^-0.125t
0.5 = e^-0.125t
t = 5.55 days
104/5.1 rounded to the nearest tenth
Answer:
20.4
Step-by-step explanation:
104 ÷ 5.1 = 20.3921
20.39 = 20.4
In how many ways can 8 distinguishable rooks be placed on an 8 × 8 chessboard so that none can capture any other, namely no row and no column contains more than one rook? For example, in a 2 × 2 chessboard, you can place 2 rooks labled 'a, and 'b' in 4 ways. There are 4 locations to place'a', and that location determines the location of b'. 40320 40320
In order to place 8 distinguishable rooks on an 8x8 chessboard without any of them being able to capture each other, you will need to ensure that each rook occupies a unique row and column.
Step 1: Place the first rook. There are 8 different locations to choose from (one in each row).
Step 2: Place the second rook. There are 7 remaining locations to choose from, as you cannot place it in the same row or column as the first rook.
Step 3: Place the third rook. There are 6 remaining locations to choose from, avoiding the rows and columns of the first two rooks.
Step 4: Continue this process until all 8 rooks have been placed.
To find the total number of ways to place the 8 distinguishable rooks, multiply the number of choices for each step:
8 (choices for rook 1) * 7 (choices for rook 2) * 6 (choices for rook 3) * 5 (choices for rook 4) * 4 (choices for rook 5) * 3 (choices for rook 6) * 2 (choices for rook 7) * 1 (choice for rook 8) = 40,320 ways.
To solve this problem, we can use the principle of multiplication. We start by placing the first rook in any of the 64 squares on the chessboard. There are 64 choices for the first rook.
Next, we need to place the second rook in a location that is not attacked by the first rook. Since rooks can attack any square in the same row or column as them, we need to choose a square that is not in the same row or column as the first rook. There are 7 rows and 7 columns remaining, so there are 14 squares in which the second rook can be placed.
For the third rook, we need to choose a location that is not attacked by either the first or second rook. This means we need to choose a square that is not in the same row or column as the first two rooks. There are 6 rows and 6 columns remaining, so there are 12 squares in which the third rook can be placed.
Continuing in this way, we see that the number of choices for the nth rook is equal to the number of rows and columns remaining after the (n-1)th rook has been placed. So, the total number of ways to place all 8 rooks on the chessboard is:
64 × 14 × 12 × 10 × 8 × 6 × 4 × 2 = 16,777,216
Therefore, there are 16,777,216 ways to place 8 distinguishable rooks on an 8 × 8 chessboard so that none can capture any other.
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Umm what do I do here?
Answer:
X is equal to 1.2
Step-by-step explanation:
6/5 equals 1.2
i don't have to sound rude but can i have brainliest please i need 4 more :')
Help !!!!!!!!!!!!!!!!!! Asap
A. \( \frac{57u}{4} + 36\) ✅
Step-by-step explanation:
\(6( \frac{5}{8} u + 1) - 6( \frac{ - 7}{4} u - 5) \\ = \frac{30u}{8} + 6 + \frac{42u}{4} + 30 \\ = \frac{15u}{4} + \frac{42u}{4} + 36 \\ = \frac{15u + 42u}{4} + 36 \\ = \frac{57u}{4} + 36\)
\(\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘\)
let gg be the function given by g(x)=x4−2x3−3xg(x)=x4−2x3−3x. what are all values of xx such that g′(x)=12g′(x)=12 ?
For given function g(x) = x^4 - 2x^3 - 3x the value of x such that g'(x) = 12 is x = 2.24
In this question, we have been given a function g(x) = x^4 - 2x^3 - 3x
We need to find the value of x such that g'(x) = 12
First we find the derivative of given function g(x) with respect to x
g'(x) = 4x³ - 6x² - 3
When g'(x) = 12
4x³ - 6x² - 3 = 12
4x³ - 6x² - 3 + 3 = 12 + 3
4x³ - 6x² - 15 = 0
After solving given polynomial we get,
x = 2.24
Therefore, the value of x is 2.24
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Look at picture need help asap
Answer:
f^-1 = 3(x + 1)
Step-by-step explanation:
f(x) = (3 - x)/x
y = (3 - x)/x
x = (3 - y)/y
xy = 3 - y
xy + y = 3
y(x + 1) = 3
y = 3/(x + 1)
f^-1 = 3(x + 1)
Part E
What is y = -1.5x + 121 rewritten as a recursive formula, where n represents
the number of minutes spent watching television and a represents the number of
minutes spent exercising?
A. a. = 1.5; a, = 2-1 - 121
B. a. 1.5; a, = a -1 + 121
C. a.
121; a = -1
- 1.5
D. a = 121; a, = 2,- +1.5
i will give best answer a right rectangular prism is shown What shape best describes the cross section cut at an angle to the base of a right rectangular prism? Trapezoid Parallelogram Square Rectangle
Answer:
parallelogram
Step-by-step explanation:
Answer:
parallelogram
Step-by-step explanation:
did the test
*cassually dances to “Savage Love” by Jason Durulo cause I’m ALMOST DONE!*
Answer:
savage love
Step-by-step explanation:
Plisss ayududenme aqui porfavor
Plz help me !....:)
With this math
Answer:
75
Step-by-step explanation:
4(1/2*5*5) +5*5 = 75
Four triangles plus the square = surface area
Work out the maximum number of hikers who could have walked between 8 miles and 18 miles
a) 9 hikers bare least that might have covered the distance, which is within the usual range of 10 ≤ x ≤ 15.
b) The most hikers who might have covered the distance between 6 and 17 miles is 19.
What is meant by minimum and maximum value?Rearrange the function using fundamental algebraic concepts to get the value of x when the derivative equals 0. This response gives the x-coordinate of the function's vertex, which is where the maximum or minimum will occur. To find the minimum or maximum, rewrite the solution into the original function.
Part a)
common interval of 10 ≤ x ≤ 15.
the minimum number of hikers who could have walked between 6 miles and 17 miles =9
Part b)
common interval of 10 ≤ x ≤ 15.
the maximum number of hikers who could have walked between 6 miles and 17 miles is 19.
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The complete question is:
The table below shows information about the distance walked by some hikers.
a) Work out the minimum number of hikers who could have walked between 6 miles and 17 miles.
b) Work out the maximum number of hikers who could have walked between 6 miles and 17 miles.
Image is attached below.
What is the area of a sector with a central angle of 131° and a
radius of 7.2 ft?
Use 3.14 for TT and round your final answer to the nearest hundredth.
Enter your answer as a decimal in the box.
Rounding this to the nearest hundredth, the area of the sector is approximately 28.88 f\(t^2\).
To find the area of a sector, we can use the formula:
Area = (θ/360) × π × \(r^2\)
where θ is the central angle in degrees, π is approximately 3.14, and r is the radius.
Given a central angle of 131° and a radius of 7.2 ft, we can plug in these values into the formula to find the area:
Area = (131/360) × 3.14 × (7.2\()^2\)
Calculating this expression:
Area = (0.3639) × 3.14 × (7.2\()^2\)
Area ≈ 28.879 f\(t^2\)
Rounding this to the nearest hundredth, the area of the sector is approximately 28.88 f\(t^2\).
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the most common type of observational study is a(n) . a. debate b. statistical inference c. survey d. experiment
The most common type of observational study is a Survey.
What is an observational study ?A study involving the measurement of variables that are not under the control of the researcher due to a specific logical problem. Experiments involve well-designed studies of the effect of one variable on another. Statistical inference is the process of making inferences about a population based on the results of a sample study. A debate is a formal discussion of a particular topic in a well-organized manner, in which opposing arguments are debated and finally the final argument is voted on. A survey is a data collection technique that investigates the characteristics of a sample of a population.Observe the change in behavior of the independent variable. Don't add prejudice. Use surveys to get information about variables.
CalculationIn the study, the independent variable is observed only for its behavior. Variables naturally exhibit variation. Researchers must not be biased when conducting research. Fundamentally, surveys help us obtain information about social parameters.
Step: 1
An experiment is a well-planned study of any particular cause and effect relationship between variables of interest. A debate is the form of discussion in which a conclusion is to be summarized at last. The statistical inference is a very crucial subject involving the predictions about population parameters based on sample statistics. The survey is the method of collection of information on variables which are not under the control of the experimenter.
The analysis defines various terminologies intermixed with the right answer to the question of interest.
Step: 2
An observational study is mostly conducted in the form of questionnaire. The questionnaire involves question regarding the issue to be studied. The most common type of observational study is a Survey.
Most of the observational studies are carried out in the form of surveys.
The most common type of observational study is a Survey.
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Expand.
Your answer should be a polynomial in standard form.
(-1 + 2p)(3 – 4p) =
Answer:
-1+2p)(3-4p)=
Step-by-step explanation:
is the best one
The correct answer is :-3+10p-8p^2
can i be marked brainlest plz
is y = 3(x - 2) linear or nonlinear
Answer:
The equation is Linear
Step-by-step explanation:
can you Simplify x^3y^4y^5x
Answer: x
Step-by-step explanation:
Answer:
4x 9y
Step-by-step explanation:
3x 4y 5y x
combine your exponets
3x 4y 5y x
4x 4y 5y
combine again
4x 4y 5y
4x 9y
find the number a such that the line x = a bisects the area under the curve y = 1/x2 for 1 ≤ x ≤ 4.
The value of a such that the line x = a bisects the area under the curve y = 1/x² for 1 ≤ x ≤ 4 is a = 1 or a = 4.
To solve the problem, we can use the formula for the area under the curve, which is given by the integral of the function f(x) with respect to x over a specified interval.
We need to find the value of a such that the line x = a bisects the area under the curve y = 1/x² for 1 ≤ x ≤ 4. This means that the area under the curve for x = a and 1 ≤ x ≤ 4 should be equal to half of the total area under the curve.
Given function: f(x) = 1/x²
The area under the curve between the limits 1 and 4 can be calculated as follows:
∫[1,4] f(x) dx = ∫[1,4] 1/x² dx
Integrating the function, we have:
∫[1,4] 1/x² dx = [-1/x] [1,4] = (-1/4) - (-1/1) = 3/4
Now, we need to find the value of a such that the area under the curve between the limits 1 and a, and a and 4, are both equal to 3/8.
Let the area under the curve from 1 to a be A1, and from a to 4 be A2.
The area under the curve between 1 and a can be calculated as:
A1 = ∫[1,a] f(x) dx = ∫[1,a] 1/x² dx = [-1/x] [1,a] = 1 - 1/a = (a-1)/a
The area under the curve between a and 4 can be calculated as:
A2 = ∫[a,4] f(x) dx = ∫[a,4] 1/x² dx = [-1/x] [a,4] = 1/a - 1/4 = (4-a)/4
Since the given condition states that the area under the curve between 1 and a should be equal to the area under the curve between a and 4, we have:
A1 = A2
(a-1)/a = (4-a)/4
Cross-multiplying, we get:
4a - 4 = a² - a
Rearranging the equation, we have:
a² - 5a + 4 = 0
Factoring the equation, we get:
(a-1)(a-4) = 0
Therefore, the values of a that satisfy the equation are a = 1 or a = 4.
In summary, the value of a such that the line x = a bisects the area under the curve y = 1/x² for 1 ≤ x ≤ 4 is a = 1 or a = 4.
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Write the equation of the circle and find
the center and radius
16 + x2 + y2 - 8x - y = 0
Answer:
center: (4,1/2)
radius: .5
Step-by-step explanation:
Group the x and y variables and move the constant (16) to the other side
(x²-8x)+(y²-y)= -16
We need to do something called "completing the square" we do this by taking the b term, dividing it by two and then squaring it
so for (x²-8x) we would take (8/2)² and then add that to both sides we have
(x²-8x+16)+(y²-y+.25)= -16+16+.25
next, we need to factor the x and y groups
(x-4)²+(y-.5)²= .25
Now that we have our equation we can easily find the center and radius
the center is just the constant's sign flipped or (4,.5) and the radius is the square root of the constant on the other side or √.25= .5