On the basis of a survey of 545 television viewers, a statistician has constructed a confidence interval and estimated that the proportion of people who watched the season premiere of Glee is between .16 and .24. What level of confidence did the statistician use in constructing this interval?

Answer:

$5000

Step-by-step explanation:

Answer: They bought 8 adult tickets and 4 child tickets.

Step-by-step explanation:

x = amount of adult tickets bought

y= amount of child tickets bought

1. Set up a system

8.5x+5.5y = 90

x+y = 12

2. Solve for a variable (I'll do x for example)

y=12-x

3. Substitute y into the first equation

8.5x+5.5(12-x)=90

8.5x+66-5.5x=90

3x=24

x=8

4. Substitute x back into the second equation

8+y=12

y=4

Answer:-12 and -25

Step-by-step explanation:

Answer: 3 and -12

Step-by-step explanation:

I used this

www.calculatorsoup.com/calculators/math/diamond-problem-solver.php

Answer:

$64

Step-by-step explanation:

Add $5 to $27 to find out what the half off price was, then double that to get the regular price

Answer:

u have to ask so what's ur qustion

Applying the system of equations given, we can conclude that: a. Nikhil has been with the company for 16 years, while Mae has been there for 4 years.

To solve the system of equations, let's substitute the value of x from the first equation into the second equation:

x = 4y

8 + 2y = 4y

Simplifying the equation, we get:

8 = 2y

Dividing both sides by 2:

4 = y

Now, substitute the value of y back into the first equation to find x:

x = 4y

x = 4(4)

x = 16

Therefore, Nikhil has been employed by the company for 16 years, and Mae has been employed for 4 years.

The correct answer is option a. Nikhil has been with the company for 16 years, while Mae has been there for 4 years.

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Maraging (18% Ni) steel has a better tolerance to defects and fracture toughness compared to Medium strength steel.

The tolerance to defects and fracture toughness of a material can be evaluated using its fracture toughness parameter, Kic. The higher the Kic value, the better the material's tolerance to defects and fracture toughness.

To compare the two materials, we can use the concept of critical stress intensity factor (Kic) and factor of safety (FoS). The critical stress intensity factor is the maximum value of stress intensity factor (K) that a material can withstand without fracturing. The factor of safety is the ratio of the maximum allowable stress to the design stress, and it is used to ensure a safety margin in the design.

Assuming that the two materials have the same defect to tolerance ratio, we can calculate the maximum allowable stress for each material using the following formula:

σmax = FoS * Kic / (π * a)

where σmax is the maximum allowable stress, FoS is the factor of safety (assumed to be 2), Kic is the fracture toughness parameter, and a is the size of the defect.

Let's assume a defect size of 1 mm for both materials. Using the values given in the question, we get:

For Maraging (18% Ni) steel:

σmax = 2 * 82 * 10^6 / (π * 1 * 10^-3) = 52.1 GPa

For Medium strength steel:

σmax = 2 * 50 * 10^6 / (π * 1 * 10^-3) = 31.8 GPa

Therefore, Maraging steel has a higher maximum allowable stress, which indicates that it has a better tolerance to defects compared to medium strength steel.

To compare the fracture toughness of the two materials, we can use their respective Kic values. The higher Kic value indicates a better tolerance to defects and fracture toughness.

Comparing the given values, we can see that Maraging (18% Ni) steel has a higher fracture toughness parameter (Kic= 82 MNm-3/2) compared to Medium strength steel (Kic= 50 MNm-3/2).

Therefore, Maraging (18% Ni) steel has a better tolerance to defects and fracture toughness compared to Medium strength steel.

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Answer:4.14

Step-by-step explanation:

Answer:

474

Step-by-step explanation:

took the test on edg

Answer:

D

Step-by-step explanation:

assets total - liabilities/deductions = net worth

his income is what his net worth it, but liabilities is what you dont have. its what you owe/need to pay/dont own. subtracting these two will give you your real net wroth.

The correct expression to find Patrick's net worth is D: $9,500 - $1,900.

The difference between an individual's assets and liabilities is described as net worth.

As per the question, Patrick's assets are given as $9,500 and his liabilities are given as $1,900.

To find his net worth, we need to subtract his liabilities from his assets.

Thus, the expression for Patrick's net worth is:

Net worth = Assets - Liabilities

Net worth = $9,500 - $1,900

Net worth = $7,600

Therefore, Patrick's net worth is $7,600.

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The direct labor cost included in the Preble Company's flexible budget for March is $819,000.

To find the direct labor cost included in the company's flexible budget for March, we shall estimate the actual direct labor cost incurred during the period.

Given:

Actual production and sales =n26,600 units

Actual direct labor rate = $13.00 per hour

Actual direct labor hours worked = 63,000 hours

Direct labor cost = Actual direct labor rate × Actual direct labor hours worked

Direct labor cost = $13.00/hour × 63,000 hours

Direct labor cost = $819,000

Hence, the direct labor cost included in the company's flexible budget for March would be $819,000.

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The median of a trapezoid is a straight line that goes from the midpoint of one of the sides to the midpoint of the opposite side and is parallel to both bases.

Its length is the average of the lengths of both bases:

One of the bases of the trapezoid has a length of 18 units and the other base has a length of 40 units. Average both bases to determine the length of the median:

The length of the median is 29 units.

Answer:

TRUE

Step-by-step explanation:

Those lines around the -5 mean the absolute value of the number, basically the value of the number without any negative signs. SO the absolute value of -5 is just 5.

5 IS GREATER than 3, so this is true

ur welcome :)

Answer:

The values of k so that the line x + y = k is a tangent to the circle x² + y² = 9​ are:

Step-by-step explanation:

A tangent line to a circle intersects the circle at exactly one point.

Rearrange the equation of the tangent line to isolate y:

\(\implies y=-x+k\)

Substituting this into the equation of the circle gives a quadratic equation in the x-coordinates of the points of intersection:

\(\implies x^2+(-x+k)^2=9\)

\(\implies x^2+x^2-2kx+k^2=9\)

\(\implies 2x^2-2kx+k^2-9=0\)

As we want this equation to have exactly one real solution, we can use the discriminant to find the value of k.

\(\boxed{\begin{minipage}{7.6 cm}\underline{Discriminant}\\\\$b^2-4ac$ \quad when $ax^2+bx+c=0$\\\\when $b^2-4ac > 0 \implies$ two real solutions.\\when $b^2-4ac=0 \implies$ one real solution.\\when $b^2-4ac < 0 \implies$ no real solutions.\\\end{minipage}}\)

Substitute a = 2, b = -2k and c = (k² - 9) into the discriminant formula and set it equal to zero:

\(\implies (-2k)^2-4(2)(k^2-9)=0\)

Solve for k:

\(\implies 4k^2-8(k^2-9)=0\)

\(\implies 4k^2-8k^2+72=0\)

\(\implies -4k^2+72=0\)

\(\implies -4(k^2-18)=0\)

\(\implies k^2-18=0\)

\(\implies k^2=18\)

\(\implies k=\pm \sqrt{18}\)

\(\implies k=\pm \sqrt{9 \cdot 2}\)

\(\implies k=\pm \sqrt{9}\sqrt{2}\)

\(\implies k=\pm 3\sqrt{2}\)

Therefore, the values of k so that the line x + y = k is a tangent to the circle x² + y² = 9​ are:

Answer:

B

Step-by-step explanation:

Answer:

B)...  A and C

Step-by-step explanation:

A is a square with a length of 6 so the area is 36

but the perimiter is 24

C is a rectangle with a width of 4 and a length of 12 so the area is 36 also

but the perimiter of C is  32

A and C have the same area but a diffrent perimiter

Answer:

P(A) = 1/6

P(B) = 1/4

P(A∩B) = 1/6

Step-by-step explanation:

First let's compute the sample space for all possible sums

For each number that rolls on the six sided die, there are four possible numbers that can roll on the four-sided die

For example if the six-sided die comes up with 1 then the possibilities are i
(1,1), (1, 2), (1, 3) , 1,4)

That is a total of 4 possible outcomes for one number on the six-sided die

So total number of outcomes possible for all 6 numbers rolled on die one and all 4 numbers rolled on die 2 = 6 x 4 = 24 possible outcomes each of them resulting in a sum of the numbers rolled

Let's figure out the number of ways you can get a sum of 5

Six-sided   Four-sided
1                      4
2                     3
3                     2
4                     1

We can define the set A as { (1,4), (2, 3), (3, 2), (4, 1)} which has 4 possibilities

So if A is the outcome that the sum is 5

P(5) = P(A) = 4/24 = 1/6

Let's figure the number of ways you can get 9 as a sum
Six-sided   Four-sided

5                  4
6                  3

Only two possibilities because the second die can roll only 1, 2, 3 4

Total 2 possibilities: {(4, 5), (6, 3)}

P(9) = 2/24 = 1/12

If B is the event that either a 5 or a 9 is rolled event  that would be:
P(5 U 9} = P{A U 9} = P(A) + P(B) = 1/6 + 1/12 = 2/12 = 1/4

So P(B) = 1/4

The set B has 4 + 2 = 6 possible outcomes(either sum = 5 or sum = 9)
{ (1,4), (2, 3), (3, 2), (4, 1), (5, 4), (6, 3)}

For P(A ∩ B) . Let's find the set {A ∩ B}
We have
A = {(1,4),(2,3),(3,2),(4,1)}
B = { (1,4) , (2, 3), (3, 2), (4, 1), (5, 4), (6, 3)}

A ∩ B is the set of elements common to both sets.
This would be just A = {(1,4),(2,3),(3,2),(4,1)}

P(A∩B) = P(A) = 1/6
This is because B is a superset of A and contains all the elements of A

The implicit derivative is given as follows:

dx/dt(x = 4)  = 1/12.

The function in this problem is given as follows:

y = 3x² + 1.

The implicit derivative, relative to the variable t, is given as follows:

dy/dt = 6x dx/dt.

(the derivative of the constant 1 is of zero).

The parameters for this problem are given as follows:

x = 4, dy/dt = 2.

Hence the derivative is obtained as follows:

2 = 6(4) dx/dt

dx/dt = 2/24

dx/dt = 1/12.

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Answer:

\(y = \sqrt{ zw/x}\)

Step-by-step explanation:

x/w  = z/y^2

Using cross products

x y^2 = zw

Divide each side by x

x y^2 /x = zw/x

y^2 =zw/x

Take the square root of each side

\(\sqrt{y^2} = \sqrt{ zw/x}\)

\(y = \sqrt{ zw/x}\)

Answer:

216 (if 0 does not work)

Skills needed: LCM, Cubing

Step-by-step explanation:

1) We need to find the lowest possible cube number which is exactly divisible by 4 and 6.

---> First of all, \(0^3=0\), and 0 is perfectly divisible by 4 and 6. But most likely, this case will not count, so we will move on to the next possible case.

2) Instead of trying guess and check or trying every cube number, let's think about it algebraically. When looking at an LCM, use prime factorization.

4 prime factorized is: \(2^2\)

6 prime factorized is: \(2*3\)

This means that the prime number has to have both these factors in them. When you think about it, the least possible cube would be \((2*3)^3\), as you will get a \(2*3\) and also \(2^3\) is a multiple of \(2^2\), which is a factor (meaning that \(2^2\) is included as a factor here).

Both 4 and 6 can perfectly divide into the number stated above (which is 216). 4 * 54  = 216, 6 * 36  = 216...

Answer:To solve for q in the equation -18 + -3q = -63, we need to get q by itself on one side of the equation. We can do this by adding 18 to both sides of the equation:

-18 + -3q + 18 = -63 + 18

Simplifying, we get:

-3q = -45

Then, we can divide both sides of the equation by -3 to solve for q:

(-3q) / -3 = -45 / -3

Simplifying, we get:

q = 15

Therefore, the solution for q is 15.

Step-by-step explanation:

Answer:

Step-by-step explanation:600

Answer:

0.05

Step-by-step explana

Answer:

the answer will be 7:15 AM.

hope this helps!

Answer: She arrived at 7:15 am.

Step-by-step explanation:

Answer:

the solutions to the equation -7 + (x^2-19)^(3/4) = 20 are x = 10 and x = -10.

Step-by-step explanation:

To solve the equation -7 + (x^2-19)^(3/4) = 20, we can follow these steps:

Add 7 to both sides of the equation to isolate the radical term:

(x^2-19)^(3/4) = 27

Raise both sides of the equation to the power of 4/3 to cancel out the radical:

[(x^2-19)^(3/4)]^(4/3) = 27^(4/3)

x^2 - 19 = 81

Add 19 to both sides of the equation to isolate the variable:

x^2 = 100

Take the square root of both sides of the equation:

x = ±10

Therefore, the solutions to the equation -7 + (x^2-19)^(3/4) = 20 are x = 10 and x = -10.

The average rate of change over is 1.

Given that;

the function is,

⇒ g (t) = - (t - 1)² + 5

Hence, We need to determine the average rate of change over the interval - 4 ≤ t ≤ 5.

The value of G(-4):

The value of G(-4) can be determined by substituting t = -4 in the function

⇒ g (t) = - (t - 1)² + 5

Thus, we have,

⇒ g (t) = - (-4 - 1)² + 5

⇒ g (t) = - 20

Thus, the value of G(-4) = -20

The value of G(5):

The value of G(5) can be determined by substituting t = 5 in the function , we get,

⇒ g (t) = - (t - 1)² + 5

⇒ g (t) = - (5 - 1)² + 5

⇒ g (t) = - 11

Thus, the value of G(5) is, -11

Now, Average rate of change:

The average rate of change can be determined using the formula,

⇒ G(b) - G (a) / (b - a)

where, a = - 4 and b = 5

Substituting the values, we get,

⇒ G(5) - G (-4) / (5 - (-4))

⇒ ( - 11 - (- 20)) / 9

⇒ 9/9

⇒ 1

Thus, the average rate of change over the interval is. 1.

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Answer:  The answer is 70 minutes.

Answer:

≈ 1.2 hours

or

≈ 1 hour & 10 minutes

Step-by-step explanation:

Let's use a ratio:

walls : hours

   12   :   14

    6   :    7

    1    : ≈ 1.2

Answer: 4.8%

Step-by-step explanation: the total amount of pens in the drawer is (10+12+3)  = 25

the amount of red pens in the drawer is 3

the probability of picking out a red pen from the drawer = 3/25

the amount of blue pens in the drawer is 10

the probability of picking out a red pen from the drawer = 10/25

the probability of picking out a red pen then a blue pen afterwards = (10/25 x 3/25) = 4.8%

Answer:

x=0

y=0

z=0

Step-by-step explanation: