Construct a 99% confidence interval of the population proportion using the given information. x = 175n = 250The lower bound is __The upper bound is __(Round to three decimal places as needed.)

Answer:

The answer is 0.42

Step-by-step explanation:

First we add all the item counts

9 + 12 + 7 = 28

then we divide the number of spoons by 28

12/28 = 0.42

Hope this helps :)

The probability that the selected silverware from the drawer is a spoon is 12/28 or 0.42.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

A silverware drawer contains 9 forks, 12 spoons, and 7 knives. The total number of items present in the drawer is,

\(n=9+12+7\\n=28\)

One piece of silverware is selected at random from the drawer. The drawer contains 12 spoons.

Thus, the probability that a spoon is selected from the drawer which contains 28 silverware is,

\(P=\dfrac{12}{28}\\P=0.42\)

Hence, the probability that the selected silverware from the drawer is a spoon is 12/28 or 0.42.

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ayooo im on a time crunch too, i get you man

the complete factors are (x+11)(x-11)

(x+11) (x-11)

11 and 11 make 121

Answer:

£6.66

Step-by-step explanation:

Hope it is helpful

Answer:

£6.66

Step-by-step explanation:

here is your answer hope you will enjoy and mark me as brainlist

thank you

Answer: 2

Step-by-step explanation:

Answer:

a) 2(x+4)

b) 3(x-4)

c) 2(3x+2)

d) 9(2x-1)

Step-by-step explanation:

a) 2x+8=2(x+(8/2))=2(x+4)

b) 3x-12=3(x-(12/3))=3(x-4)

c) 6x+4=2((6/2)x+(4/2))=2(3x+2)

d) 18x-9=9((18/9)x-(9/9))=9(2x-1)

Answer:

a) 2(x + 4)

b) 3(x -4)

c) 2(3x + 2)

d) 9(2x - 1)

Step-by-step explanation:

a) Factor: 2x+8

   2x + 8

= 2(x + 4)

b) Factor 3x−12

   3x − 12

= 3(x − 4)

c) Factor 6x+4

   6x + 4

= 2(3x + 2)

d) Factor 18x−9

   18x − 9

= 9(2x − 1)

Answer: (-4/5)^3, 3^5-10^4, (9.8)^2-10^2 ==> 2nd, 3rd, and 4th box

Step-by-step explanation:

If a negative number is to the power of an odd number, the result is a negative number. If the negative number is to the power of an even number, the result is a positive number.

3^5-10^4=243-10000 which is obviously negative.

(9.8)^2 is smaller than 10^2, so (9.8)^2-10^2 is negative.

Answer:

289m²

Step-by-step explanation:

Area of circle =πr²=π×17²=289m² when r=radius =17m

If the standard deviation of a set of data is 6, then the value of variance is 36

The formula for determining variance is variance = √Standard deviation

Variance of a set of data is equal to square of the standard deviation.

If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula

variance = √Standard deviation

Take square root on both sides

Standard deviation² = 6²

Standard deviation= 36

Hence,  standard deviation of a set of data is 6, then the value of variance is 36

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Answer:

X=8.7 (1dp)

Step-by-step explanation:

X=8.7

Please give Brainliest

Answer:

I have no idea

Step-by-step explanation:

Answer:

Let s be the speed of the plane. Then s - 100 is the speed of the car.

640/s = 240/(s - 100)

640(s - 100) = 240s

8(s - 100) = 3s

8s - 800 = 3s

5s = 800, so s = 160 mph

The speed of the plane is 160 mph, and the speed of the car is 60 mph.

Answer:

C

Step-by-step explanation:

\(\frac{x+1}{x-4}\) × \(\frac{5x}{x+1}\) ← cancel x + 1 on numerator and denominator

= \(\frac{1}{x-4}\) × \(\frac{5x}{1}\)

= \(\frac{5x}{x-4}\)

Answer:

5x/(x-4)

Step-by-step explanation:

To multiply fractions, all we have to do is multiply the numerators together and the denominators together. If we do that, we get the following:

\(\frac{x+1}{x-4}*\frac{5x}{x+1}=\frac{(x+1)(5x)}{(x-4)(x+1)}\)

We notice that both the numerator and the denominator have an (x+1) term. Whenever you have something divided by itself, you get 1. In other words, they cancel out. As such, we can remove them from our answer to simplify it:

\(\frac{5x}{x-4}\)

If we do that, we get the expression above. 5x/(x-4) is the reduced product of the rational expression given.

Translation that has the same effect as the composition of translations is

(x, y)→ ( x+2 , y+7 )

Composition of two reflections can be expressed as translation. Composition of reflections over parallel lines always has the same effect as a translation. Combination of two or more transformations is called composition of translation.

In this case :

As given in the question , 9 units are added from the x-coordinate in the first transformation and then 7 units are subtracted. So, the sum is:

+9-7 = +2

Observe that, in the first transformation, 1 units are added to the y-coordinate and then 6 units are added. The sum is:

+6+1 = +7

Then, the single Translation that has the same effect as the given Composition of translation is calculated to be:

(x, y)→ ( x+2 , y+7 )

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By solving the proportion, we find that r is equal to 25 when x is 8 and y is 2.5.

Let's denote the constant of variation as k. According to the given information, we have the relationship r = kxy.

To find the value of k, we can use the values r = 12.5, x = 2, and y = 5. Plugging these values into the equation, we have 12.5 = k(2)(5), which simplifies to 12.5 = 10k.

Dividing both sides of the equation by 10, we find that k = 12.5/10 = 1.25.

Now, we can find the value of r when x is 8 and y is 2.5. Setting up the proportion using the values of r, x, and y, we have (r/12.5) = ((8)(2.5)/2)(5).

Simplifying the proportion, we have r/12.5 = 20/2 = 10.

To find r, we can cross-multiply and solve for r: r = (12.5)(10) = 125.

Therefore, when x is 8 and y is 2.5, the value of r is 125.


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Answer:

(.25)(.30) = .075 probability that both children will get the flu

The probability that both a youngster in New York and a kid in Los Angeles will get this season's virus can be determined by duplicating the singular probabilities. Consequently, the likelihood that both will get influenza is 0.075.

To find the probability of the two occasions happening, we duplicate the probabilities of every occasion. Considering that the probability of a kid in New York getting this season's virus is 0.25 (or 25%) and the probability of a youngster in Los Angeles getting influenza is 0.30 (or 30%), we multiply these probabilities: 0.25 * 0.30 = 0.075. This implies there is a 0.075 probability, or 7.5%, that both a youngster in New York and a kid in Los Angeles will get influenza.

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Answer:

27.65

Step-by-step explanation:

C=πd=π·8.8≈27.64602

rounded to the nearest tenth would be 27.65

hoped this helped.

Answer:

did anyone find the answer ?

Step-by-step explanation:

(a) We have shown that there exists an element b ∈ B that is an upper bound for A.

(b) The statement in part (a) is not always the case if we only assume sup A ≤ sup B.

(a) If sup A < sup B, show that there exists an element b ∈ B that is an upper bound for A.

Proof:
1. By definition, sup A is the least upper bound for set A, and sup B is the least upper bound for set B.
2. Since sup A < sup B, there must be a value between sup A and sup B.
3. Let's call this value x, where sup A < x < sup B.
4. Now, since x < sup B and sup B is the least upper bound of set B, there must be an element b ∈ B such that b > x (otherwise, x would be the least upper bound for B, which contradicts the definition of sup B).
5. Since x > sup A and b > x, it follows that b > sup A.
6. As sup A is an upper bound for A, it implies that b is also an upper bound for A (b > sup A ≥ every element in A).

Thus, we have shown that there exists an element b ∈ B that is an upper bound for A.

(b) Give an example to show that this is not always the case if we only assume sup A ≤ sup B.

Example:
Let A = {1, 2, 3} and B = {3, 4, 5}.
Here, sup A = 3 and sup B = 5. We can see that sup A ≤ sup B, but there is no element b ∈ B that is an upper bound for A, as the smallest element in B (3) is equal to the largest element in A, but not greater than it.

This example shows that the statement in part (a) is not always the case if we only assume sup A ≤ sup B.

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The median exceeds the mean by more. The histogram is skewed to the right, which shows that lower values are dragging down the mean.

The median of the histogram on the right is higher than the mean. This is evident from the histogram's form, which is tilted to the right. This shows that the lower values tend to drag the mean down. The median is greater than the mean. The right-handed skewness of the histogram indicates that the mean is being pulled down by lesser values and However, because it is the centre number and is only impacted by the higher and lower values equally, the median is unaffected by the lower values. Because of this, the mean in this histogram is less than the median.

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The symbol ᴾ is used to represent the upper limit of integration for θ, which is π in this case.

Change the cartesian integral to an equivalent polar integral

ᵃ∫₋ₐ √ᵃ² ⁻ ˣ²∫₋√ₐ² ₋ ₓ² dy dx

In Cartesian coordinates, the region of integration is defined by the limits of integration for x and y:

x varies from -a to a, and y varies from -√(a² - x²) to -x².

To express these limits in polar coordinates, we make use of the relations:

x = rˣcos(θ)

y = rˣsin(θ)

The limits of integration for x can be expressed in terms of r and θ as follows:

- a ≤ x ≤ a

- a ≤ r ˣ cos(θ) ≤ a

Dividing by a, we have:

- 1 ≤ cos(θ) ≤ 1

Since the range of values for the cosine function is -1 ≤ cos(θ) ≤ 1, we can simplify the limits to:

0 ≤ θ ≤ π

The limits of integration for y can be expressed in terms of r and θ as follows:

-√(a² - x²) ≤ y ≤ -x²

-√(a² - (r ˣ cos(θ))²) ≤ r ˣ sin(θ) ≤ -(r ˣ cos(θ))²

Simplifying the inequality, we have:

-√(a² - r² ˣ cos²(θ)) ≤ r ˣ sin(θ) ≤ -r² ˣ cos²(θ)

Since r is always non-negative, we can divide the inequality by r² ˣ cos²(θ):

-√(a²/r² - cos²(θ)) ≤ tan(θ) ≤ -cos²(θ)

Applying the inverse tangent function to the inequality, we obtain:

-arctan(√(a²/r² - cos²(θ))) ≤ θ ≤ -arctan(cos²(θ))

Therefore, the equivalent polar integral becomes:

∫₀ᴾ ∫-arctan(√(a²/r² - cos²(θ)))ᴾ -arctan(cos²(θ)) √(a² - r²ˣcos²(θ)) r dr dθ

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Answer:

Step-by-step explanation:

2 is the y-intercept and the slope is one

Cⁿ₁ is always positive, then the second term has negative sign.

What does binomial expansion mean?

Theorem that states that any power of a binomial (a + b) can be expanded as a specific sum of products (aibj), such as (a + b)2 = a2 + 2ab + b2.

The i-th term of the binomial expansion \((x- y)^{n}\)

Ti = nCi - 1 . (x)ⁿ+¹⁺i  . (-y)i - 1

For any n, when i=2,

T₂ = nC₂₋₁  . xⁿ⁺¹⁻² . (-y)²⁻¹  = -Cⁿ₁ xⁿ⁻¹ . y

Given that is consistently positive, the second term has a negative sign.

Cn1 is consistently positive, and the second term is always negative.

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Answer:

b

Step-by-step explanation:

Answer:

ok

Step-by-step explanation

part b

Point t is at (−2, 5). The coordinates of point t' after a reflection across x = 0 and then y = 0 is (2, -5).

When the given point t (-2, 5) reflects across the y-axis where x = 0,  the y-coordinate remains the same, but the x-coordinate is changed to the additive inverse.

The reflection of t (-2 , 5) is t'(2, 5) on x = 0.

Now, the reflection of the point t on y = 0 on the x-axis changes the sign of the y-coordinate and retains the same x-coordinate.

The reflection of t (2 , 5) is t' (2, -5) on y = 0.

Therefore, the coordinates of point t' after a reflection across x = 0 is (2, 5). And, then after the reflection across y = 0 is (2, -5).

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A conversion of the equation \(f(t) = 259e^{-0.01t}\) to the form \(f(t) = ab^{t}\) is \(f(x) = 259(0.99)^t\).

a = 259

b = 0.990

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x) = a(b)^x\)

Where:

By comparing the two the exponential functions, we can logically deduce the following initial value or y-intercept:

initial value or y-intercept, a = 259.

For the rate of change (b), we have:

\(e^{-0.01t} = b^t\\\\e^{(-0.01)t} = b^t\\\\b = e^{(-0.01)}\)

b = 0.990.

Therefore, the required exponential function is given by:

\(f(x) = 259(0.99)^t\)

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Complete Question:

Convert the equation \(f(t) = 259e^{-0.01t}\) to the form \(f(t) = ab^{t}\)

a =

b =

give answer accurate to three decimal places

a) the complement of 23∘16′ is approximately 66.733°.

b)  the supplement of 23∘16′ is approximately 156.733

To find the complement of an angle, we need to determine the angle that, when added to the given angle, will result in a total of 90 degrees.

a) The complement of 23∘16′ can be found by subtracting the given angle from 90 degrees:

90° - 23°16′

To subtract the angles, we need to convert both angles to the same unit. Let's convert 23∘16′ to decimal degrees:

23∘16′ = 23 + (16/60) = 23.267°

Now we can subtract:

90° - 23.267° ≈ 66.733°

Therefore, the complement of 23∘16′ is approximately 66.733°.

b) To find the supplement of an angle, we need to determine the angle that, when added to the given angle, will result in a total of 180 degrees.

The supplement of 23∘16′ can be found by subtracting the given angle from 180 degrees:

180° - 23∘16′

Converting 23∘16′ to decimal degrees:

23∘16′ = 23 + (16/60) = 23.267°

Subtracting:

180° - 23.267° ≈ 156.733°

Therefore, the supplement of 23∘16′ is approximately 156.733°.

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The covered employee worked for 9 hours of overtime pay for the month.

In this problem, a covered employee who is paid monthly works 38, 42, 35 and 47 hours during 4 consecutive weeks. We need to find out how many hours of overtime pay is he required to receive for the month.

Let us consider, if the employee works for 38 hours, then it is considered to be regular hours.

If the employee works for more than 40 hours, then it is considered to be overtime hours.

Week 1 : Regular hours = 38, Overtime hours = 0

Week 2 : Regular hours = 42, Overtime hours = 2

Week 3 : Regular hours = 35, Overtime hours = 0

Week 4 : Regular hours = 40, Overtime hours = 7

Total regular hours = 38 + 42 + 35 + 40 = 155

Total overtime hours = 0 + 2 + 0 + 7 = 9

Thus, the covered employee worked for 9 hours of overtime pay for the month.

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Answer:

Could be a mix of answers

Step-by-step explanation:

6(x-7y)-300+9y) is what would do