The FBI wants to determine the effectiveness of their 10 Most Wanted list. To do so, they need to find out the fraction of people who appear on the list that are actually caught. Step 2 of 2 : Suppose a sample of 455 suspected criminals is drawn. Of these people, 109 were captured. Using the data, construct the 85% confidence interval for the population proportion of people who are captured after appearing on the 10 Most Wanted list. Round your answers to three decimal places

Answer:

C

Step-by-step explanation:

f(x)=0 at points of intersection of the graph of the function with x-axis.

From the diagram you can see that the graph of the function intersects x-axis at three points:

somewhere between -3 and -2;

somewhere between -1 and 0;

at x=1.

Since x=1 is the value of x from the domain, then correct choice is option C.

Answer:

C

Step-by-step explanation:

f(x)=0 at points of intersection of the graph of the function with x-axis.

From the diagram you can see that the graph of the function intersects x-axis at three points:

somewhere between -3 and -2;

somewhere between -1 and 0;

at x=1.

Therefore, since x=1 is the value of x from the domain, then correct choice is option C.

Answer: (I am really not sure the answer if it is wrong I am so sorry)

h=3, k=2

Horizontal: up, 2 units

Vertical: up, 3 units

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The velocity of money (V) by the quantity equation  is 4.

Money exchange rates in an economy are gauged by the concept of velocity of money. The quantity equation is expressed as:

M * V = P * Y

where:

M = Quantity of money (in this case, 3,000 Billions of Dollars)

V = Velocity of money (to be estimated)

P = Price level (in this case, 1.0)

Y = GDP or output (in this case, 12,000 Billions of Dollars)

To estimate the velocity of money (V), we rearrange the equation:

V = (P * Y) / M

Substituting the given values:

V = (1.0 * 12,000) / 3,000

V = 12,000 / 3,000

V = 4

Therefore, the estimated velocity of money (V) is 4.

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Answer: it’s 128 (also what you did on my question was not cool, do better)

Step-by-step explanation:

We know the height is 6 and the length is 2 more than the height then the length is 8 (6+2=8) and then you solve for volume and get 128

The correct answer for the volume of the pyramid is \(128\) cm³.

Given:

Square base edge  lenght 2 cm than the height of the pyramid.

Height of the pyramid is 6 cm.

Square base edge length = Height of pyramid + 2cm

= 8 cm.

Base area:

Area of the square is calculated as side².

Area of square = 8*8

= 64 cm²

Volume of pyramid is calculated as \(\dfrac{1}{3} *basearea*height\)

\(\dfrac{1}{3}*64*6\\\\ =128\)

The volume of the pyramid is \(128\) cm³.

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Answer:

D

Step-by-step explanation:

The midpoint of PQ is the average of the coordinates of P and Q

y = \(\frac{12-1}{2}\) = \(\frac{11}{2}\) = 5.5 ← y- coordinate of midpoint

Answer:

10 + 5y = 50,   y = 8 (years)

Step-by-step explanation:

5y  -  states. that Abraham still plans to visit.

10 + 5y = 50

5y = 50 - 10

5y = 40

y = 8

Answer: 10+5y=50; y=8 years

Step-by-step explanation:

Since Abraham has already visited 10 states, and he wants to visit 5 states per year, we get the equation 10+5y=50. The 10 is the number is states he has already visited. 5y represents the rate at which he visits the remaining states. 50 is the total amount of states.

To find the number of years, you get y alone.

10+5y=50

5y=40

y=8 years

After Louis XVI's failed attempts to sabotage the Assembly and to keep the three estates separate, the Estates-General ceased to exist, becoming the National Assembly. It renamed itself the National Constituent Assembly on July 9 and began to function as a governing body and constitution-drafter.

National assembly

The National Assembly was the first revolutionary government of the French Revolution and existed from June 14th to July 9th in 1789. The National Assembly was created amidst the turmoil of the Estates-General that Louis XVI called in 1789 to deal with the looming economic crisis in France.

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We know that y varies directly with x.

First we need to find the constant of variation

7=14k

k= 7/14

k=1/2

the equation that relates x and y is

Answer: Okay, the answer is x^2/68+(y+3)^2/17=1.

Step-by-step explanation: Step. 1 Complete the square for 4y^2+24y: 4(y+3)^2−36.

Step 2. You’ll need to substitute 4(y+3)^2−36 for 4y^2+24y in the equation x^2+4y^2+24y=32: x^2+4(y+3)^2–36=32.

Step 3. So you’ll need to move –36 to the right side of the equation by adding 36 to the both sides: x^2+4(y+3)^2=32+36.

Step 4 You add 32 and 36: x^2+4(y+3)^2=68.

Step 5. You divide each term by 68 to make the right side equal to one: x^2/68+4(y+3)^2/68=68/68.

And step 6. You’ll need to simplify each term in the equation in order to set the right side equal to 1. The standard form of an ellipse or hyperbola requires the right side of the equation be 1: x^2/68+(y+3)^2/17=1. I hope you download Math-way app to calculate this ellipse in standard form to be extremely helpful, please mark me as brainliest, and have a great weekend! :D

I'm going to assume we need to figure out how many red and white balloons there are, There is 35 red balloons and 25 white balloons.

Step-by-step explanation:

35-25=10

35+25=60

The product of\((2.50×10^6)(1.56×10^5)\) is calculated by multiplying the coefficients (2.50 and 1.56) to get 3.9 and adding the exponents (6 and 5) to get 11. The final answer is expressed in scientific notation as \(3.9×10^11\).

To calculate the product of two numbers written in scientific notation, we multiply their coefficients and add their exponents. In this case, we have \((2.50×10^6)(1.56×10^5).\)

First, let's multiply the coefficients: 2.50 × 1.56 = 3.9.

Next, we add the exponents: 6 + 5 = 11.

Combining the result of the coefficient multiplication (3.9) with the sum of the exponents (11), we express the final answer in scientific notation as 3.9×10^11.

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The correct answer is

2 loaves of pumpkin bread and 6 loaves of banana bread. Option C.

For the solution for the Pumpkin bread:

4 eggs

3 1/2 cups of flour

Banana bread:

1 egg

1 (0.5) cups of flour

Available ingredients:

14 eggs

16 cups of flour

Assume 2 loaves of pumpkin bread and 6 loaves of banana bread

For the solution for the Pumpkin bread:

PB=4 eggs* 2

PB= 8 eggs

PB=3 *0.5 * 2

PB = 7 cups of flour

For the solution of the Banana bread:

BB =1 *6

BB= 6 eggs

For cups

BB= 1 (0.5) * 6

BB= 9 cups of flour

In conclusion, The solution of the Total used ingredients

I=8 + 6

I= 14 eggs

For cups

IC=7 + 9

IC= 16 cups of flour

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Answer:

C 2 loaves of Pb and 6 loaves of BB

Step-by-step explanation:

Answer:

5:9

Step-by-step explanation:

Answer:

$425

Step-by-step explanation:

Let the dryer cost x

and the dish washer cost y

x+y=784-----------1

y=x-66-------------2

put the value of y=x-66 in 1

x+x-66=784

2x= 784+66

2x=850

x=850/2

x=425

Hence the dryer cost $425

Answer:

1) x=1/2-y/2-3z

2)x= 16/3- 2y/3- 5z/3

3)x= 11/7- 3y/7+ 4z/7

Step-by-step explanation:

isolate the variable, to do that divide each side by the factors that don't contain the variable

The last term of the series is -28000.

From the question, we have the following parameters that can be used in our computation:

First three terms = 8000, -12000, and 18000

Sum = 57875.

Given the first three terms of the series (8000, -12000, 18000), we know that the ratio between consecutive terms is -3/2.

The sum of a geometric series can be represented by the formula:

S = a(1-r^n)/(1-r)

where S is the sum, a is the first term,

r is the common ratio and n is the number of terms.

In this case, we know that S = 57875, a = 8000 and r = -3/2.

We can use this information to find the value of n:

57875 = 8000(1-(-3/2)^n)/(1-(-3/2))

Solving for n:

n = log(57875/(8000(1-(-3/2)))/log(-3/2)

n = 8

So, there are 8 terms in this geometric series.

Since the last term of a geometric series is given by a(r^(n-1)),

last term = 8000 * (-3/2)^(8-1) = -28000

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Answer:

option 1

Step-by-step explanation:

3(x - 6) = 18 ( divide both sides by 3 )

x - 6 = 6 ( add 6 to both sides )

x = 12

Answer:

Step-by-step explanation:

The answer is 12. 3x6=18 and 12-6=6. Plug in 6 and you get 18.

No, there is no commutative property of subtraction for rational numbers. The commutative property, which states that the order of operands does not affect the result of an operation, does not apply to subtraction for rational numbers.

The commutative property states that the order of the operands does not affect the result of an operation. For addition and multiplication, the commutative property holds true. However, for subtraction, the order of the operands does matter, and thus, the commutative property does not apply.

Let's consider an example to demonstrate this:

Take the rational numbers 3/4 and 1/2.

If we subtract 3/4 from 1/2, we have: 1/2 - 3/4 = (2/4) - (3/4)

= -1/4.

If we subtract 1/2 from 3/4, we have: 3/4 - 1/2 = (3/4) - (2/4)

= 1/4.

As you can see, the results are different when the order of subtraction is changed, indicating that subtraction does not follow the commutative property for rational numbers.

The commutative property, which states that the order of operands does not affect the result of an operation, does not apply to subtraction for rational numbers. Changing the order of subtraction changes the result, making subtraction non-commutative for rational numbers.

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The commutative property does not apply to the operation of subtraction with rational numbers. This is because changing the order of the numbers in a subtraction operation will give a different result.

In mathematics, the commutative property refers to the idea that the order in which numbers are used in an operation does not change the result of that operation. This property holds true for addition and multiplication but, unfortunately, it does not hold true for subtraction and division. For example, in subtraction, if we take two rational numbers such as 5 and 3, 5 - 3 is equal to 2, but 3 - 5 equals to -2. As you can see, changing the order of the numbers gives us different results, demonstrating that there is no commutative property of subtraction for rational numbers.

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Answer:

Hope it works for u

Step-by-step explanation:

As given,   3.2x+0.2^2-5=0  we have to find value of x

3.2x+0.04-5=0

3.2x-4.96=0

3.2x=4.96

x=4.96/3.2

x=1.55 Ans....

Answer:

x=31/20 (as a fraction)

Step-by-step explanation:

Answer:

The function y = 75 - 4x models the amount of money Sabrina has left after buying pastries.

Step-by-step explanation:

Each part of the function has a specific meaning:

y: represents the amount of money Sabrina has left, measured in dollars.

75: represents the original amount of money Sabrina had before buying pastries.

-4x: represents the amount of money Sabrina spent on pastries, where x is the number of pastries she bought. The negative sign indicates that this is a subtraction, so the more pastries Sabrina buys, the more money she spends and the less money she has left.

So the function y = 75 - 4x tells us that for each pastry Sabrina buys, the amount of money she has left decreases by 4 dollars. To find the amount of money Sabrina has left after buying x pastries, we can plug in x into the equation and solve for y.

Answer:

$1296

Step-by-step explanation:

the markup is 700 so add that to the 500, then sales tax adds 96

Answer:

D.) (x-8)^2

Step-by-step explanation:

Factor:

What can be multiplied to get 64 and added to get negative 16?

(x-8)(x-8)

(x-8)^2

As we can see from the graph, the line crosses the y axis at the point (0,-6), so that's the y-intercept.

Similarly, we can see the graph corssing the x axis at the point (-8,0), which is the x-intercept.

Since the only axes we are given are x and y, there is no z-intercept.

The solution for the given problem is (a) P(X ≥ 20,000) = 0.4493, P(X ≤ 30,000) = 0.7769, P(20,000 ≤ X ≤ 30,000) = 0.3276. (b) P(X > 75,000) = 0.0821, P(X > 100,000) = 0.0183.

Solution: a) To find the probability that a randomly selected fan will last at least 20,000 hours. P(X ≥ 20,000). Now, Mean time until failure is 25,000 hours which is given and is represented by µ. Hence, µ = 25,000 hrs. The parameter used for the Exponential distribution is λ.λ = 1 / µλ = 1 / 25,000 hrs. λ = 0.00004. Therefore, the probability that a randomly selected fan will last at least 20,000 hours. P(X ≥ 20,000) =  e -λt = e -0.00004 × 20,000 ≈ 0.4493The probability that a randomly selected fan will last at least 20,000 hours is 0.4493.

To find the probability that a randomly selected fan will last at most 30,000 hours. P(X ≤ 30,000) = 1 - e -λt = 1 - e -0.00004 × 30,000 ≈ 0.7769. The probability that a randomly selected fan will last at most 30,000 hours is 0.7769.

To find the probability that a randomly selected fan will last between 20,000 and 30,000 hours. P(20,000 ≤ X ≤ 30,000) = P(X ≤ 30,000) - P(X ≤ 20,000)P(20,000 ≤ X ≤ 30,000) = (1 - e -λt) - (1 - e -λt)P(20,000 ≤ X ≤ 30,000) = e -0.00004 × 20,000 - e -0.00004 × 30,000 ≈ 0.3276. The probability that a randomly selected fan will last between 20,000 and 30,000 hours is 0.3276.

b) To find the probability that the lifetime of a fan exceeds the mean value by more than 2 standard deviations.

z = (X - µ) / σZ = (X - µ) / σ = (X - 25,000) / (25,000)λ = 1 / µλ = 1 / 25,000 hrs. λ = 0.00004

The formula for z is z = (X - µ) / σ => X = z σ + µ

The standard deviation of the Exponential distribution is σ = 1 / λσ = 1 / 0.00004 = 25,000 hrs

Z = (X - µ) / σ = (X - 25,000) / (25,000)Z > 2z > 2 => (X - 25,000) / (25,000) > 2 => X > 75,000 hrs.

Now, the probability that the lifetime of a fan exceeds the mean value by more than 2 standard deviations.

P(X > 75,000) = e -λt = e -0.00004 × 75,000 ≈ 0.0821

The probability that the lifetime of a fan exceeds the mean value by more than 2 standard deviations is 0.0821

To find the probability that the lifetime of a fan exceeds the mean value by more than 3 standard deviations.

Z > 3z > 3 => (X - 25,000) / (25,000) > 3 => X > 100,000 hrs.

Now, the probability that the lifetime of a fan exceeds the mean value by more than 3 standard deviations P(X > 100,000) = e -λt = e -0.00004 × 100,000 ≈ 0.0183

The probability that the lifetime of a fan exceeds the mean value by more than 3 standard deviations is 0.0183.

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The value of x in the triangle is 20

From the triangle, we have the following equivalent ratios:

5x+ 10 : 121 = 10 : 11

Express as fraction

5x  + 10/121 = 10/11

Multiply both sides by 121

5x + 10 = 110

Subtract 10 from both sides

5x  = 100

Divide both sides by 5

x = 20

Hence, the value of x in the triangle is 20

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\( \tan(16) = \frac{8.3}{x} \\ \)

\(0.2867453858 = \frac{8.3}{x} \\ \)

Thus :

\(x = \frac{8 .3}{0.2867453858} \\ \)

\(x = 28.9455398797\)

Thus :

\(x = 28.9\)

Answer:

it's 4th ok ok okokok okokokok

It takes Maria 7.5 hours to assemble a furniture set alone.

Let x represent the amount of time in hours that it takes Maria to assemble a furniture.

Given that it take Adam to assemble a furniture set in 5 hours. If his sister

Maria helps, they can finish it in 3 hours, hence:

3 hours (1 / 5hour) + 3 hours (1 / x) = 1

3/5 + 3/x = 1

3/x = 2/5

x = 7.5 hours

It takes Maria 7.5 hours to assemble a furniture set alone.

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