a survey of 130 college graduates was conducted. students were asked whether they were employed and if they were looking for a job. the following table shows the results. job searching no job searching total employed 28 61 89 not employed 18 23 41 total 46 84 130 according to the table, what is the probability that a randomly chosen student is not employed given that they are job searching? give your answer as a fraction in simplest form.

Performing a Chi-Square test is a statistical tool used to determine if there is a significant difference between observed and expected data. The test helps to analyze categorical data by comparing observed frequencies to the expected frequencies. The p-value in a Chi-Square test refers to the probability of obtaining the observed results by chance alone.

If a p-value lower than 0.01 is obtained in a Chi-Square test, it means that the results are statistically significant. In other words, there is strong evidence to reject the null hypothesis, which states that there is no significant difference between the observed and expected data. This means that the observed data is not due to chance alone, but rather to some other factor or factors.

The mean, or average, is not directly related to the Chi-Square test or the p-value. The Chi-Square test is specifically used to determine the significance of the observed data. However, the mean can be used as a measure of central tendency for continuous data, but it is not applicable to categorical data.

In conclusion, obtaining a p-value lower than 0.01 in a Chi-Square test means that there is strong evidence to reject the null hypothesis, and that the observed data is statistically significant.

learn more about Chi-Square here: brainly.com/question/24976455

#SPJ11

Answer:

A

Step-by-step explanation:

Answer:

A=15ft^2

Step-by-step explanation:

The formula for a triangle is A=1/2 base times height so you start by multiplying 6x5 then divide the answer by 2

When the weight moves from x = -8 cm to x = 8 cm, the spring moves from its maximum stretched position to its maximum compressed position.Hence, the spring oscillates between its maximum stretched and compressed positions when the weight is set in motion. Therefore, the spring is a simple harmonic oscillator.

Given: Displacement x

= 8 cos t

= Acos(ωt+ φ) where A

= 8 cm, ω

= 1 and φ

=0. To find: What is the spring?Explanation:We know that displacement is given by x

= 8 cos t

= Acos(ωt+ φ) where A

= 8 cm, ω

= 1 and φ

=0.Comparing this with the standard equation, x

= Acos(ωt+ φ)A

= amplitude

= 8 cmω

= angular frequencyφ

= phase angleWhen the spring is at equilibrium position, the weight attached to the spring does not move. Hence, no force is acting on the weight at the equilibrium position. Therefore, the spring is neither stretched nor compressed at the equilibrium position.Now, the spring is set in motion resulting in a displacement of x

= 8 cos t

= Acos(ωt+ φ) where A

= 8 cm, ω

= 1 and φ

=0. The maximum displacement of the spring is 8 cm in the positive x direction. When the weight is at x

= 8 cm, the restoring force of the spring is maximum in the negative x direction and it pulls the weight towards the equilibrium position. At the equilibrium position, the weight momentarily stops. When the weight moves from x

= 8 cm to x

= -8 cm, the spring moves from its natural length to its maximum stretched position. At x

= -8 cm, the weight momentarily stops. When the weight moves from x

= -8 cm to x

= 8 cm, the spring moves from its maximum stretched position to its maximum compressed position.Hence, the spring oscillates between its maximum stretched and compressed positions when the weight is set in motion. Therefore, the spring is a simple harmonic oscillator.

To know more about oscillator visit:

https://brainly.com/question/15780863

#SPJ11

The displacement of the weight attached to the spring is given by the equation x = 8 cos t. The amplitude of the motion is 8 centimeters and the period is 2π seconds.

The equation x = 8 cos t represents the displacement of a weight attached to a spring in simple harmonic motion. In this equation, x is measured in centimeters and t is measured in seconds.

The amplitude of the motion is 8 centimeters, which means that the weight oscillates between x = 8 and x = -8.

The period of the motion can be determined from the equation T = 2π/ω, where ω is the angular frequency. In this case, ω = 1, so the period T is 2π seconds.

https://brainly.com/question/35900466

#SPJ12

230.26

"How so?"

First of all, formulate: 70.2% x 328

Then convert the percentage to decimals: 0.702 x 328

Now calculate the quotient: 230.256 and round it: 230.26

I apologize if anything is incorrect! Have a good day and good luck! <3

Answer: 230.58

Step-by-step explanation:

To find 70.2% of 328, we multiply 70.2% (or 0.702 as a decimal) by 328:

0.702 x 328 = 230.5776

Rounding this to the nearest hundredth gives:

230.58

Therefore, 70.2% of 328 rounded to the nearest hundredth is 230.58.

Answer:

9

Step-by-step explanation:

Use PEMDAS to solve it.

2 3 - (8-4) + 5 =

First: 2 3 - (4) + 5 =

Second: solve the 2 to the power of 3 exponent

2×2×2=8 (2×2=4 then 4×2=8)

So, 8 - 4 + 5 =

Third: 4 + 5 =

Last: 9

\({{\rm{ {2}^{3} - (8 - 4) + 5 }}}\)

\({{\rm{\implies \: calculate \: the \: power}}}\)

\({{\rm{ {2}^{3} = 8 }}}\)

\({{\rm{ 8 - (8 - 4) + 5}}}\)

\({{\rm{ 8 - 4 + 5}}}\)

\(\boxed{\begin{array}{}{{\rm\red{\implies \: = 9}}}\end{array}}\)

hopeItsHelp

The function f has the property injective. (D)

An injective function is also known as a one-to-one function, which means that for every unique output, there is a unique input.

In this case, the function f maps the single element in the domain {1} to the single element in the codomain {1}, and there is only one possible output for the single input, so it is injective.

It does not have the properties of being increasing, decreasing, strictly increasing, strictly decreasing, or surjective because the function is a constant function mapping the single element in its domain to the single element in its codomain.

As a result, it does not change in value and cannot be classified as increasing or decreasing. Additionally, it is not surjective because the codomain contains one element that is not mapped to by the function.

To know more about injective function click on below link:

https://brainly.com/question/5614233#

#SPJ11

Answer:

0.55 dollors

Step-by-step explanation:

13.20 divided by 24

=$0.55

Answer: 20 quarters

Step-by-step explanation:

As we look at this problem we can convert $6.50 dollars into 26 quarters. Us already knowing that Carolina has $1.50 (6 quarters) we can take the two numbers and minus both of them. 26 quarters ($6.50) - 6 quarters ($1.50) = 20 quarters($5.00)

Step-by-step explanation:

every $ is equivalent to 4 quarters.

every half-$ is equivalent to 2 quarters.

after all, 1 quarter = $0.25.

so, the equation is

4×1.5 + g = 4×6.5

or simplified

6 + g = 26

and from there we get then immediately that

g = 20

The calculated concentration of [PO43-] at equilibrium is approximately 7.28 x 10^20 M.

To determine the concentration of [PO43-] at equilibrium, we need to consider the reaction between Pb(NO3)2 and Na3PO4. The balanced equation for the reaction is:

3Pb(NO3)2 + 2Na3PO4 -> Pb3(PO4)2 + 6NaNO3

Given the initial volumes and concentrations of the solutions, we can calculate the moles of Pb(NO3)2 and Na3PO4 used in the reaction. From there, we can determine the moles of Pb3(PO4)2 formed and the resulting concentration of [PO43-] at equilibrium.

Using the volumes and concentrations provided (75 ml of 0.80 M Pb(NO3)2 and 10 ml of 0.10 M Na3PO4), we find that the moles of Pb(NO3)2 used is 0.06 mol and the moles of Na3PO4 used is 0.001 mol. Since the stoichiometric ratio between Pb3(PO4)2 and PO43- is 2:1, we can calculate that 0.03 mol of Pb3(PO4)2 is formed.

To determine the concentration of [PO43-] at equilibrium, we divide the moles of Pb3(PO4)2 formed by the total volume of the solution (85 ml), resulting in a concentration of approximately 7.28 x 10^20 M.

Therefore, at equilibrium, the concentration of [PO43-] is approximately 7.28 x 10^20 M. This value is obtained by considering the stoichiometry of the reaction and the initial concentrations and volumes of the solutions.

Learn more about equilibrium here:

https://brainly.com/question/14281439

#SPJ11

Answer: 314 mm

Step-by-step explanation:

Area of a circle is π*r^2

r is radius and π is 3.14

here the radius is 10

3.14 * 10^2 = 3.14 * 100 = 314

Answer:

(5√3 + 3√5)(7√5 + 2√3) + (4√3)(2√5)

= 35√15 + 30 + 105 + 6√15 + 8√15

= 49√15 + 135

This question is a little ambiguous, but I'd guess the answer is

\( \frac{2}{5} \)

The equation to find the distance between the lions and giraffes is

x² = 121 + 256.

Option D is the correct answer.

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

Hypotenuse = Distance between lion and giraffes = x

Distance between lions and monkeys = 11 feet

Distance between monkeys and giraffes = 16 feet

Applying the Pythagorean theorem.

x² = 11² + 16²

x² = 121 + 256

x² = 377

x = √(377)

x = 19.42

Thus,

The distance between lions and giraffes is 19.42 feet.

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ1

Answer:B and D

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

You don't have to do anything, the only equation with a slope of -2 is A.

Answer:

3b/2 + 3

Step-by-step explanation:

The formula to calculate perimeter of rectangle is 2l + 2w

The length is half the width so length is 1/2 (b/2 +1), which when simplified is b/4 + 1/2

Using the formula to calculate perimeter you can substitute and calculate

p= 2l + 2w

p= 2(b/4 + 1/2) + 2(b/2 + 1)

p= 2b/4 +2/2 + 2b/2 +2

p= 1/2b + 1 + b + 2

p= 3/2b + 3

Simplified it's 3b/2 +3

Answer:

Step-by-step explanation:

Let j represent the number of home runs Jacobs hit. The Cabrera hit j+6, and their total is ...

  j +(j+6) = 46

  2j = 40 . . . . . . subtract 6

  j = 20 . . . . . . . divide by 2

  j+6 = 26

Jacobs hit 20 home runs; Cabrera hit 26.

Answer:

2486.88

Step-by-step explanation:

Find the area of the pizza. A=πr²

the radius is half the diameter so here it's 6.

A= π6²

6²=36

36 × 3.14= 113.04

the pizza is 113.04 in². multiply that by 22.

Answer:

2487

Step-by-step explanation:

This is correct for k12 people

Answer:1.6

Step-by-step explanation:

25/5=5

8/5=1.6

Answer:

Step-by-step explanation:

if 5miles = 25 minutes

then, 8 miles = X

hence X minutes

\(x = \frac{25minutes}{5miles} \times 8miles\)

Answer:

For any integer number n, the inverse additive of n is also an integer K such that:

n + K = 0

solving this for K, we get that:

K = -n

Then the inverse additive of n is -n.

Now that we know this let's complete this.

We know that for any two integers A and B, a minus b is equal to a plus the additive inverse of b.

To check this:

a minus b is written as:

a - b

And a plus the additive inverse of b is:

a + (-b)

because -b is the additive inverse of b.

Remember the rule sign:

(+)*(-) = -

Then we can rewrite:

a + (-b) = a - b

Then the statement is true.

"For any two integers a and b, a minus b is equal to a plus additive inverse of b is equal to a + (-b)"

\(\huge\bold{Solution }\)

\(\large\mathfrak{given}\)

\( \large \: \mathfrak{ {formula}}\)

Let height be : x

\(\sf\Rightarrow{ \: 968 = 2\pi \: r(r \: + h) } \: \)

\(\sf\Rightarrow{968 = 2 \times \frac{22}{7} \times 7 \times (7 + x) }\)

\(\sf\Rightarrow{ 968 = 2 \times 22 \times(7 + x)}\)

\(\sf\Rightarrow{ 968 = 44(7 + x)}\)

\(\sf\Rightarrow{ \frac{968}{44} = 7 + x}\)

\(\sf\Rightarrow{22 = 7 + x }\)

\(\sf\Rightarrow{22 - 7 = x }\)

\(\sf\Rightarrow{x = 15 }\)

\(\bf\Rightarrow{ x = 15}\)

\(\sf\Rightarrow{ \underline{{ height \: = 15}}} \\ \\ \sf \: option \: A is \: correct \: \)

\( {\underline{ \rule {200pt}{6pt}}}\)

Answer:

Decimal Form: 0.078

In fraction form it's 39/500

Answer:

0.07843137254

Step-by-step explanation:

You can round that right if not then its 7843...

There hope this helps...

The displacement and distance traveled depend on the given time interval.

To find the displacement, we need to integrate the velocity function from 0 to 5 or 0 to 5π, depending on the given time interval.

If the time interval is [0,5], we have:

Displacement = ∫[0,5] v(t) dt
Displacement = ∫[0,5] 6cos(t) dt
Displacement = [6sin(t)] from 0 to 5
Displacement = 6sin(5) - 6sin(0)
Displacement ≈ 2.785 meters

If the time interval is [0,5π], we have:

Displacement = ∫[0,5π] v(t) dt
Displacement = ∫[0,5π] 6cos(t) dt
Displacement = [6sin(t)] from 0 to 5π
Displacement = 0 - 6sin(0)
Displacement = 0 meters

To find the distance traveled, we need to integrate the absolute value of the velocity function over the given time interval.

If the time interval is [0,5], we have:

Distance = ∫[0,5] |v(t)| dt
Distance = ∫[0,5] |6cos(t)| dt
Distance = ∫[0,π/2] 6cos(t) dt + ∫[π/2,5] -6cos(t) dt
Distance = [6sin(t)] from 0 to π/2 + [-6sin(t)] from π/2 to 5
Distance = 6 - 6sin(5) ≈ 2.215 meters

If the time interval is [0,5π], we have:

Distance = ∫[0,5π] |v(t)| dt
Distance = ∫[0,5π] |6cos(t)| dt
Distance = ∫[0,π] 6cos(t) dt + ∫[π,2π] -6cos(t) dt + ∫[2π,3π] 6cos(t) dt + ∫[3π,4π] -6cos(t) dt + ∫[4π,5π] 6cos(t) dt
Distance = [6sin(t)] from 0 to π + [-6sin(t)] from π to 2π + [6sin(t)] from 2π to 3π + [-6sin(t)] from 3π to 4π + [6sin(t)] from 4π to 5π
Distance = 0 meters

Know more about displacement here;

https://brainly.com/question/30087445

#SPJ11

∠1 and ∠2 are right angles because the measure of both angles is 90° and supplementary angles because the sum of both angles is 180°.

A triangle is a polygon that has three sides and three angles and the sum of the angle of the triangle is 180 degrees.

The figure is attached in the picture, please refer to the attached picture.

Given that:

So,

\(\angle2 = 90^\circ\) (vertically opposite angles are equal)

\(\angle1 + \angle2 = 180^\circ\) (Linear Pair)

\(\angle1 = 180 - 90\)

\(\angle1 = 90^\circ\)

\(\angle1 = \angle2 = 90^\circ\)

So, ∠1 and ∠2 are right angles because measure of both angles is 90°.

Adjacent angles because both a common arm and a common vertex.

Thus, ∠1 and ∠2 are right angles because the measure of both angles is 90° and supplementary angles because the sum of both angles is 180°.

To know more about triangles, visit:

https://brainly.com/question/28832368

Answer:

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

Step-by-step explanation:

\(\frac{2}{x} = -8\)

\(2 = -8x\)

\(x = \frac{-2}{8}\)

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

Answer:

\(\sf x=-\cfrac{1}{4}\)

Step-by-step explanation:

\(\sf \cfrac{2}{x}=-8\)

\(\sf \cfrac{2}{x}x=-8x\)

\(\sf 2=-8x\)

\(\sf \cfrac{-8x}{-8}=\cfrac{2}{-8}\)

\(\sf x=-\cfrac{1}{4}\)

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

Explanation:

Let B represent the unmarked angle on the left between angle A and the 145 degree angle.

Angle B and the 145 degree angle form a straight line of 180 degrees

B+145 = 180

B = 180-145

B = 35

Then use the fact that angles A and B form a 90 degree angle

A+B = 90

A+35 = 90

A = 90-35

A = 55

The values of W and X that make NOPQ a parallelogram are:

W = -5w + 11

X = 3x

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size.

To determine the values of W and X that make NOPQ a parallelogram, we need to find the conditions under which the opposite sides of the quadrilateral are parallel.

The coordinates of the points N, O, P, and Q are given as follows:

N: (w+7, 5w-5)

O: (3/2x, 3)

P: (?, ?)

Q: (?, ?)

For NOPQ to be a parallelogram, the vector from N to O should be equal to the vector from P to Q, and the vector from O to P should be equal to the vector from Q to N.

The vector from N to O is:

NO = (3/2x - (w+7), 3 - (5w-5))

   = (3/2x - w - 7, -5w + 8)

The vector from O to P should be equal to the vector from Q to N. Thus:

OP = (P_x - (3/2x), P_y - 3)

QN = ((w+7) - Q_x, (5w-5) - Q_y)

Equating the corresponding components, we get the following equations:

3/2x - w - 7 = P_x - (3/2x)

-5w + 8 = P_y - 3

w + 7 = (w+7) - Q_x

5w - 5 = (5w-5) - Q_y

Simplifying these equations, we find:

P_x = 3x

P_y = -5w + 11

Q_x = w + 7

Q_y = 5w

Therefore, the values of W and X that make NOPQ a parallelogram are:

W = -5w + 11

X = 3x

Learn more about parallelogram on:

https://brainly.com/question/27846700

#SPJ4

To maximize profits, the firm should produce a quantity of goods x = 5 and y = 10, based on the cost function and price constraints.

To maximize profits, the firm needs to find the quantities of goods x and y that will yield the highest profit. The profit function can be defined as the revenue minus the cost. Revenue is calculated by multiplying the quantity of each good produced with their respective prices, while the cost function is given as C(x, y) = 10x + xy + 10y.

The firm is committed to delivering a total of 15 units, which can be expressed as x + y = 15. To determine the optimal production quantities, we need to maximize the profit function subject to this constraint.

By substituting the price expressions Ps = 50 - x + y and Py = 50 - x + y into the profit function, we obtain the profit equation. To find the maximum profit, we can take the partial derivatives of the profit equation with respect to x and y, set them equal to zero, and solve the resulting system of equations.

Solving the equations, we find that the optimal production quantities are x = 5 and y = 10, which maximize the firm's profits.

Learn more about Partial derivatives click here :brainly.com/question/28376218

#SPJ11