Assume that a sample is used to estimate a population proportion p. Find the 99.9% confidence interval for a sample of size 247 with 85% successes. Enter your answer as a tri-linear inequality using decimals (not percents) accurate to three decimal places

Answer:

m angle B=141

Step-by-step explanation:

a 7 sided shape has 900 total degrees

subtract all the known angkes to find your answer

900-90-148-142-130-129-120=141

hope this helps :)

Answer:

x = 6

Step-by-step explanation:

(3√2)² = 18

using the Pythagorean theorem:

x² = 18 + 18 = 36

x = √36 = 6

The probability of getting a sum of at least 5 when two dice are tossed = 13/18.

To obtain the probability of getting a sum of at least 5 when two dice are tossed, we can calculate the probability of the complement event and subtract it from 1.

The total number of possible outcomes when two dice are tossed is 6 * 6 = 36 (as each die has 6 possible outcomes).

Now, let's calculate the number of favorable outcomes, i.e., the outcomes where the sum of the two dice is less than 5.

The possible outcomes with a sum less than 5 are: (1,1), (1,2), (1,3), (2,1), (2,2), (3,1), (1,4), (4,1), (2,3), (3,2).

There are a total of 10 favorable outcomes.

Therefore, the probability of the complement event (getting a sum less than 5) is 10/36.

To calculate the probability of getting a sum of at least 5, we subtract the probability of the complement event from 1:

Probability of sum at least 5 = 1 - Probability of sum less than 5

Probability of sum at least 5 = 1 - 10/36

Probability of sum at least 5 = (36/36) - (10/36)

Probability of sum at least 5 = 26/36 = 13/18

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Answer:

C=r-p

Step-by-step explanation:

r-c=p

We need to solve the equation for Variable C

To get c alone we need to remove r from the left hand side

Subtract R from both sides

r-c=p

r-r-c=-r+P

-c=-r+P

Now divide both sides by -1 to get c alone

c=r-p

C is alone, it is solved for C

Answer:

=============================

We can observe that:

1. AB and CD are horizontal segments, since both endpoints have same y-coordinates:

2. AB and CD are of same length:

It means the ABCD is a parallelogram, since two opposite sides are parallel and of same length.

The area of parallelogram is:

We know the length of the base, it is found above, 2 units.

The height is the difference of y- coordinates:

The area is:

Answer:  x < 4 and x > -4

===================================================

Work Shown:

-2 | x | > -8

| x | < -8/(-2)

| x | < 4

-4 < x < 4

-4 < x and x < 4

x < 4 and x < -4

x < 4 and x > -4

Side note: the inequality sign flips in the 2nd step because we divided both sides by a negative number. Also, I used the rule that \(| x | < k\) leads to\(-k < x < k\) only when k is positive.

The answer is "None of the above" since we don't have enough information to determine the value of W(4).

To find W(4), we need to evaluate the Wronskian of x1(t) and x2(t) at t = 4. Given that the Wronskian satisfies W(0) = 10, we can use the property of the Wronskian to find W(4).

The Wronskian is defined as:

W(t) = x1(t)x2'(t) - x1'(t)x2(t)

To find W(4), we evaluate this expression at t = 4:

W(4) = x1(4)x2'(4) - x1'(4)x2(4)

The solution to the differential equation x" - 10tx' + (16t^2 + 5) = 0 is given by x(t) = x1(t) and x(t) = x2(t).

Since we do not have the specific forms of x1(t) and x2(t), we cannot directly evaluate W(4). Therefore, the answer is "None of the above" since we don't have enough information to determine the value of W(4).

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We must find p′, q′ in order to calculate the confidence interval; the sample proportion is p′ = 0.842; This is the population proportion's point estimate. Since CL = 0.95 is the requested confidence level, = 1 – CL = 1 – 0.95 = 0.05 (2) (2) = 0.025.

For P, what is the confidence interval at 95 percent?

Since 95% of the area under the curve falls within this interval, the interval (-1.96, 1.96) serves as a 95% confidence interval for the standard normal distribution.

What is the 95 percent confidence interval for the population's proportion of smokers?

Standard Error for Proportion Calculating a 95% Confidence Interval for each group separately is another way to consider whether smokers and nonsmokers have significantly different proportions with wrinkles. For the smokers, we have a certainty time period ± 2(0.0394) or 0.63 ± 0.0788.

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The unite rate of the kendra's bike ride is found as 3 blocks / min.

The given question is-

Unit rate = number of blocks/ total time

Unit rate = 30 / 10

Unit rate = 3 blocks / min

Thus, the unit rate of the kendra's bike ride is found as 3 blocks / min.

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When x is correlated with y, it means that there exists a relationship between the two variables, where a change in one variable (x) is associated with a change in the other variable (y).

This relationship can be either positive or negative.

In a positive correlation, as the value of x increases, the value of y also increases, and as the value of x decreases, the value of y decreases as well. This indicates that both variables move in the same direction. On the other hand, in a negative correlation, as the value of x increases, the value of y decreases, and as the value of x decreases, the value of y increases. This shows that the variables move in opposite directions.

It is essential to note that correlation does not imply causation. Just because two variables are correlated does not mean that one variable causes the other to change. There could be other factors or variables that influence the observed relationship between x and y. Additionally, the strength of the correlation can vary, with values close to 1 or -1 representing a strong relationship and values close to 0 representing a weak relationship or no relationship at all.

In conclusion, when x is correlated with y, it means that there is a relationship between the two variables that can be either positive or negative, but this does not necessarily imply causation. The strength of the relationship can also vary, depending on the correlation coefficient value.

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Answer:

GCF = 2

Step-by-step explanation:

6n - 8

consider factors of 6 and 8

factors of 6 are 1, 2, 3, 6

factors of 8 are 1, 2, 4, 8

the GCF is 2

\

Answer: 2 is correct

Step-by-step explanation:

Answer:

10.6 =c

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

7^2 + 8^2 = c^2

49+ 64 = c^2

113 = c^2

Taking the square root of each side

sqrt(113) = sqrt(c^2)

10.63014581=c

To the nearest tenth

10.6 =c

Answer:

The length of C is 10.6

Hope this help!

a)The amount Roses to lilies: 10:12, 5:6, or 1:1.2

b)Daisies to roses: 8:10, 4:5, or 2:2.5

c)Lilies to daisies: 12:8, 6:4, or 3:2

d)Roses to all flowers: 10:30, 1:3, or 1:3.

A bouquet of flowers is composed of 10 roses, 8 daisies and 12 lilies. The ratio of these flowers can be expressed in different ways. The ratio of roses to lilies is 10:12, which can also be expressed as 5:6 or 1:1.2. The ratio of daisies to roses is 8:10, which can also be expressed as 4:5 or 2:2.5. The ratio of lilies to daisies is 12:8, which can also be expressed as 6:4 or 3:2. The ratio of roses to all flowers is 10:30, which can also be expressed as 1:3 or 1:3. Ratios are used to express the proportion of one thing to another, and understanding how to express ratios in different forms is important for solving many mathematical problems.

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The expression that represents the volume of the prism, in cubic centimetres is \(28.476(2x+1) \: \rm cm^3\) approx

If the prism is such that if we slice it horizontally at any height smaller or equal to its original height, the cross section is same as its base, then its volume is:

\(V = B \times h\)
where h is the height of that prism and B is the area of the base of that prism.

For this case, we are provided a prism which has pentagon as its cross sections, and its height is \(2x + 1\) units.

Let B be the area of those pentagons, then:
Volume of the prism = \(B(2x + 1) \: \rm cm^3\)

It is provided that the apothem of the pentagon is 2.8 cm.

An n sided regular polygon has internal angles' sum as 180(n-2)°

Thus, each internal angle would be of  180(n-2)/n°

For n = 5, this comes as 108°

Since the line AO is bisecting the internal angle, the angle OAB is o of 108/2 = 54°

Using the tangent ratio, we get:

\(\tan(54^\circ) = \dfrac{|OD|}{|AD|}\\\\|AD| = \dfrac{2.8}{\tan(54^\circ)} \approx 2.034 \: \rm cm\)

Thus, area of the triangle AOD = \(\dfrac{1}{2} \times |AD| \times |OD| \approx \dfrac{1}{2} \times 2.034\times 2.8 = 2.8476 \: \rm cm^2\)

There are 10 such triangles, all congruent, thus:

Area of pentagon = \(B \approx 10 \times 2.8476= 28.476 \: \rm cm^2\)

Thus, volume of the pentagonal prism is:

\(V = B \times h \approx 28.476(2x+1) cm^3\)

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Answer:

14x^2+7x

B

Step-by-step explanation:

I did the test.

Answer:

8(8)-9(3)

64-27= 37

Step-by-step explanation:

Answer:

n=-2/3

Step-by-step explanation:

2/3n + 3/2n = -13/4

Make 2/3n and 3/2n into 4/6n and 9/6n so you can add them together.

13/6n = -13/4

Divide both sides by 13/6

n=-2/3

^ i hope thats what you were asking for :)

Answer:

B

Step-by-step explanation:

A radius is half of a diameter so multiply by 2

Solution:

Explanation:

The position, velocity, and acceleration of mass A can be found by taking the first and second derivatives of the given equation with respect to time, t. The first derivative will give us the velocity, and the second derivative will give us the acceleration.

(a) When t = 1 s:
Position, x = 10 sin 2(1) + 15cos2(1) + 100 = 10 sin 2 + 15cos2 + 100 = 114.96 mm
Velocity, v = dx/dt = 20 cos 2t - 30 sin 2t = 20 cos 2(1) - 30 sin 2(1) = -17.32 mm/s
Acceleration, a = dv/dt = -40 sin 2t - 60 cos 2t = -40 sin 2(1) - 60 cos 2(1) = -41.23 mm/s^2

(b) The maximum velocity and acceleration can be found by finding the critical points of the first and second derivatives, respectively. This is done by setting the derivatives equal to zero and solving for t.

For maximum velocity:
0 = 20 cos 2t - 30 sin 2t
30 sin 2t = 20 cos 2t
tan 2t = 2/3
2t = tan^-1(2/3)
t = 0.2915 s

For maximum acceleration:
0 = -40 sin 2t - 60 cos 2t
60 cos 2t = -40 sin 2t
tan 2t = -3/2
2t = tan^-1(-3/2)
t = 0.6405 s

Therefore, the maximum velocity occurs at t = 0.2915 s and the maximum acceleration occurs at t = 0.6405 s.

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(a) The position, velocity and acceleration of mass A is 110 mm,  -10 mm/s,  -50 mm/s2 respectively.

(b) The maximum velocity and the maximum acceleration of A is 20.81 mm/s, -61.87 mm/s2 respectively.

The position, velocity and acceleration of mass A when t = 1 s can be determined by substituting t = 1 s into the given equation, x = 10 sin 2t + 15cos2t + 100.

Position: x = 10 sin 2(1) + 15cos2(1) + 100 = 110 mm

Velocity: x' = 20 cos 2(1) - 30 sin 2(1) = -10 mm/s

Acceleration: x'' = -40 sin 2(1) - 30 cos 2(1) = -50 mm/s2

The maximum velocity of A can be determined by finding the points of inflection in the equation. This occurs when x'' = 0. Solving for t:

-40 sin 2t - 30 cos 2t = 0

sin 2t = 0.75

2t = sin-1(0.75) ≈ 0.927 radians

t = 0.464 s

Maximum Velocity: x' = 20 cos 2(0.464) - 30 sin 2(0.464) = 20.81 mm/s

The maximum acceleration of A can be determined by finding the points of extrema in the equation. This occurs when x' = 0. Solving for t:

20 cos 2t - 30 sin 2t = 0

cos 2t = 1.5

2t = cos-1(1.5) ≈ 0.524 radians

t = 0.262 s

Maximum Acceleration: x'' = -40 sin 2(0.262) - 30 cos 2(0.262) = -61.87 mm/s2.

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Answer:

3a+b

3(4)+3

12+3

15

Step-by-step explanation:

You substitute the variables with the given numbers. I think this is correct.

The variance for the given data set: Year 1 = 16%; Year 2 = 6%; Year 3 = -25%; Year 4 = -3% is 0.0344.

The variance given the following returns:

Year 1 = 16%, Year 2 = 6%, Year 3 = -25%, Year 4 = -3% is 0.0344.

In probability theory, the variance is a statistical parameter that measures how much a collection of values fluctuates around the mean.

Variance, like other statistical measures, is used to describe data.

A variance is a square of the standard deviation, which is a numerical term that determines the amount of dispersion for a collection of values.

Variance provides a numerical estimate of how diverse the values are.

If the data points are tightly clustered, the variance is small.

If the data points are spread out, the variance is large.For a given data set, we may use the following formula to compute variance:

\($$\sigma^2 = \frac{\sum_{i=1}^{N}(x_i-\mu)^2}{N-1}$$\)

Where \($$\sigma^2$$\) is variance, \($$\sum_{i=1}^{N}$$\) is the sum of the data set, \($$x_i$$\) is each data point, \($$\mu$$\) is the sample mean, and \($$N-1$$\) is the sample size minus one.

In the above question, we will calculate the variance for the given data set:

Year 1 = 16%; Year 2 = 6%; Year 3 = -25%; Year 4 = -3%.

\($$\mu=\frac{(16+6+(-25)+(-3))}{4}=-1.5$$\)

Using the formula mentioned above,

\($$\sigma^2 = \frac{\sum_{i=1}^{N}(x_i-\mu)^2}{N-1}$$$$\)

=\(\frac{[(16-(-1.5))^2 + (6-(-1.5))^2 + (-25-(-1.5))^2 + (-3-(-1.5))^2]}{4-1}$$\)

After solving this expression,

\($$\sigma^2=0.0344$$\)

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Answer:

B. 180 degrees

Step-by-step explanation:

They are exactly across from one another. Here, this will make more sense.

               0 (starting point)

               |

 270--            -- 90

               |

             180 (where you ended up)

Now till the screen towards the right. The zero and the 180 should be pointing in the same direction as the squares.

Degrees was ABCD rotated or transformed  to form A'B'C'D' is  180 degrees about the origin .

In geometry, a transformation  is an operation that moves, flips, or changes a shape to create a new shape. A rotation is an example of a transformation where a figure is rotated about a specific point (called the center of rotation), a certain number of degrees.

According to the question

ABCD is rotated counterclockwise about the origin.  

Degrees was ABCD transformed to form A'B'C'D' is

180 degrees about the origin

As when we rotate a figure of 180 degrees about the origin either in the clockwise or counterclockwise direction, each point of the given figure has to be changed from (x, y) to (-x, -y) and graph the rotated figure.

So, as per figure ABCD which is in first quadrant were x and y both are positive and  figure A'B'C'D' third quadrant were x and y both are negative.

Hence, Degrees was ABCD rotated or transformed  to form A'B'C'D' is  180 degrees about the origin .

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The function f(x, y) satisfies the conditions that its limit approaches zero as x approaches zero along two different paths: y = x and y = x^2. This implies that as x approaches zero, the function f(x, y) must approach zero regardless of whether y varies linearly or quadratically with x.

The given conditions state that the limit of f(x, y) as x approaches zero along the path y = x is zero. This means that as x gets arbitrarily close to zero, the function f(x, y) approaches zero when y varies linearly with x. Similarly, the second condition states that the limit of f(x, y) as x approaches zero along the path y = x^2 is also zero. This implies that when y varies quadratically with x, the function f(x, y) still approaches zero as x approaches zero. Therefore, the function f(x, y) must satisfy both conditions by converging to zero as x approaches zero along both paths.

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The volume of the three dimensional figure is 102π m³

An equation is an expression composed of variables and numbers linked together by mathematical operations.

Diameter = 6 m, radius = 6/2 = 3 m

Volume of hemisphere = (2/3) * π * radius³ = (2/3) * π * 3³ = 18π m³

Volume of cylinder = π * radius² * height = π * 3² * 8 = 72π m³

Volume of cone = (1/3) * π * radius² * height = (1/3) * π * 3² * 4 = 12π m³

Volume of solid = sum of all volumes = 18π m³ + 72π m³ + 12π m³ = 102π m³

The volume of the solid is 102π m³

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The volume of the figure is the sum volume of the cone, hemisphere and cylinder which is 320.4m²

To determine the volume of the figure, we have to find the volume of the hemisphere, the volume of the cylinder and the volume of the cone.

The formula of volume of a hemisphere is given as;

V = 2/3πr³

Substituting the values into the formula above;

v = 2/3(π) × 3³

v = 56.5m³

The formula of volume of a cylinder is given as

V = πr²h

Substituting the values into the formula

v = π * 3² * 8

v = 226.2m³

The formula of volume of a cone is given as;

v = 1/3πr²h

Substituting the values into the formula

v = 1/3 × π × 3² * 4

v = 37.7m³

The volume of the figure = volume of cone + volume of cylinder + volume of hemisphere

volume of figure = 56.5 + 226.2 + 37.7

volume of figure = 320.4m³

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Answer:

The area of the cornfield is 1,529 yards.

Step-by-step explanation:

In this case, since the statement indicates that it is a square field, you have to use the formula to calculate the area of a square, which is:

A=a², where:

A is the area

a is the lenght of side

The statement says that one side measures 39 yards, so this would be a, and you can replace this value on the formula:

A=39²

A=1,521

According to this, the answer is that the area of the cornfield is 1,529 yards.

Answer:

The meal was $20

Step-by-step explanation:

20%= 1/5

1/5=4/? ---> one converts to four by multiplying it by 4 so you should do the the same with the denominator which is five.

5×4= 20

Answer:

$(8m + 13n)

Step-by-step explanation:

Given that :

Total Cost of 6 bouquet = 6m

Total cost of 8 chocolate = 8n

Total amount spent = $(6m + 8n)

Total amount left = $(2m + 5n)

Hence, amount had at first :

Total amount. Spent + total amount. Left

(6m + 8n) + (2m + 5n)

(6m + 2m + 8n + 5n)

$(8m + 13n)

Answer:

1.5

Step-by-step explanation:

There are 50 ways for Marvin to reach his destination without passing through the forbidden point.

To solve this problem, we can use the unitary method. This method involves breaking the problem down into smaller, simpler units to solve it more easily.

In this case, we can break the path from Marvin's starting point to his destination into two smaller paths. The first path is from (0,0) to (1,4), and the second path is from (1,4) to (4,6).

There are five paths from the bottom left corner to the point (1,4) that do not go through the forbidden point.

Once Marvin reaches the point (1,4), he can only go up or to the right to reach his destination. So, we need to count the number of ways to get from (1,4) to (4,6)

We can visualize this by drawing another grid and counting the paths:

In total, there are

=> 5 x 10 = 50

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Answer:

9

Step-by-step explanation: