Use a common denominator to find equivalent fractions for and Enter the correct fractions in the boxes. 5 12

The friend's claim is not supported by the confidence interval, as the lower bound of the interval is above 120 minutes.

The bounds of the confidence interval are given by the estimate of the parameter plus/minus the margin of error.

The meaning of the interval is that it is x% likely that the population parameter(mean/proportion/standard deviation) is between the bounds a and b of the confidence interval.

Hence the interpretation of this interval is:

We are 95% sure that the true mean waiting time at an emergency room is between 128 minutes and 147 minutes.

Two hours are equivalent to 120 minutes, hence the friend's claim is not supported by the interval, as both bounds of the interval are above 120.

The problem is given by the image shown at the end of the answer.

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Answer:

4. The quotient of 0 and a is undefined.

Step-by-step explanation:

Let's examine each statement to see which is true or untrue.

✔️Statement 1:

a is a negative number. b is also a negative number. A negative number dividing another negative number would give us a positive number. That is the quotient of a and b would be positive.

Statement 1 is true.

✔️Statement 2:

Dividing 0 by any number would always give us 0. Therefore the quotient of 0 and c would be 0.

Statement 2 is correct.

✔️Statement 3:

c is a positive number. b is negative number. Positive divided by negative = negative.

Statement 3 is correct.

✔️Statement 4:

Dividing 0 by any number would give us a quotient of 0.

Statement 4 is incorrect. It is incorrect because ⁰/a = 0. But a/0 = undefined.

Answer: 9x

Step-by-step explanation:

Answer:

4x - 13 = 17

Step-by-step explanation:

Answer:

Option C

Step-by-step explanation:

In this question measure of two sides and and the angle between these sides of a triangle is given.

We have to calculate the measure of third side.

By applying cosine rule in the given triangle.

BC² = AB² + AC² - 2(AB)(AC)cos(A)

BC² = (18)² + (12)² - 2(18)(12)cos(62°)

BC² = 324 + 144 - 202.81

BC² = 265.19

BC = 16.28

BC ≈ 16 units

Therefore, Option C will be the correct option.

Answer:

30%

Step-by-step explanation:

150/500 = 0.3

0.3x 100= 30%

Answer:

333.3%

Step-by-step explanation:

Answer:

for this one I think it mostly 3

Using Maxwell's equations, we can determine the magnetic flux density. One of the Maxwell's equations is:

\(\displaystyle \nabla \times \mathbf{H} = \mathbf{J} + \frac{\partial \mathbf{D}}{\partial t}\),

where \(\displaystyle \nabla \times \mathbf{H}\) is the curl of the magnetic field intensity \(\displaystyle \mathbf{H}\), \(\displaystyle \mathbf{J}\) is the current density, and \(\displaystyle \frac{\partial \mathbf{D}}{\partial t}\) is the time derivative of the electric displacement \(\displaystyle \mathbf{D}\).

In this problem, there is no current density (\(\displaystyle \mathbf{J} =0\)) and no time-varying electric displacement (\(\displaystyle \frac{\partial \mathbf{D}}{\partial t} =0\)). Therefore, the equation simplifies to:

\(\displaystyle \nabla \times \mathbf{H} =0\).

Taking the curl of the given magnetic field intensity \(\displaystyle \mathbf{R} =2\cos( 10^{10} t-600x)\hat{a}_{z}\, \text{Am}\):

\(\displaystyle \nabla \times \mathbf{R} =\nabla \times ( 2\cos( 10^{10} t-600x)\hat{a}_{z}) \, \text{Am}\).

Using the curl identity and applying the chain rule, we can expand the expression:

\(\displaystyle \nabla \times \mathbf{R} =\left( \frac{\partial ( 2\cos( 10^{10} t-600x)) \hat{a}_{z}}{\partial y} -\frac{\partial ( 2\cos( 10^{10} t-600x)) \hat{a}_{z}}{\partial z}\right) \mathrm{d} x\mathrm{d} y\mathrm{d} z\).

Since the magnetic field intensity \(\displaystyle \mathbf{R}\) is not dependent on \(\displaystyle y\) or \(\displaystyle z\), the partial derivatives with respect to \(\displaystyle y\) and \(\displaystyle z\) are zero. Therefore, the expression further simplifies to:

\(\displaystyle \nabla \times \mathbf{R} =-\frac{\partial ( 2\cos( 10^{10} t-600x)) \hat{a}_{z}}{\partial x} \mathrm{d} x\mathrm{d} y\mathrm{d} z\).

Differentiating the cosine function with respect to \(\displaystyle x\):

\(\displaystyle \nabla \times \mathbf{R} =-2( 10^{10}) \sin( 10^{10} t-600x)\hat{a}_{z} \mathrm{d} x\mathrm{d} y\mathrm{d} z\).

Setting this expression equal to zero according to \(\displaystyle \nabla \times \mathbf{H} =0\):

\(\displaystyle -2( 10^{10}) \sin( 10^{10} t-600x)\hat{a}_{z} \mathrm{d} x\mathrm{d} y\mathrm{d} z =0\).

Since the equation should hold for any arbitrary values of \(\displaystyle \mathrm{d} x\), \(\displaystyle \mathrm{d} y\), and \(\displaystyle \mathrm{d} z\), we can equate the coefficient of each term to zero:

\(\displaystyle -2( 10^{10}) \sin( 10^{10} t-600x) =0\).

Simplifying the equation:

\(\displaystyle \sin( 10^{10} t-600x) =0\).

The sine function is equal to zero at certain values of \(\displaystyle ( 10^{10} t-600x) \):

\(\displaystyle 10^{10} t-600x =n\pi\),

where \(\displaystyle n\) is an integer. Rearranging the equation:

\(\displaystyle x =\frac{ 10^{10} t-n\pi }{600}\).

The equation provides a relationship between \(\displaystyle x\) and \(\displaystyle t\), indicating that the magnetic field intensity is constant along lines of constant \(\displaystyle x\) and \(\displaystyle t\). Therefore, the magnetic field intensity is uniform in the given medium.

Since the magnetic flux density \(\displaystyle B\) is related to the magnetic field intensity \(\displaystyle H\) through the equation \(\displaystyle B =\mu H\), where \(\displaystyle \mu\) is the permeability of the medium, we can conclude that the magnetic flux density is also uniform in the medium.

Thus, the correct expression for the magnetic flux density in the given medium is:

\(\displaystyle B =6\cos( 10^{10} t-600x)\hat{a}_{z}\).

In order to prove that two triangles are congruent, the following cases of congruency can be used:

SSS (all three sides congruent)

SAS (two sides and the angle between them congruent)

ASA (two angles and the side between them congruent)

AAS (two angles and the side not between them congruent)

The other cases (AAA and SSA) are not congruency theorems.

Answer:

1/24

Step-by-step explanation:

Hope thats right

Answer:

2/8

Step-by-step explanation:

subtract 7/8 by 5/8

Answer:

Step-by-step explanation:

+ At time 0 (beginning), the volume is 5 (feet^3) of sand.

+ After 1 minute, it lefts: 90% of 5 = 0.9*5

+ After 2 minutes, it left 90% of (0.9*5) = 0.9*(0.9*5)

or

\(5.(0.9)^{2}\)

+ After 3 minutes, it left 90% of    \(5.(0.9)^{2}\)

or

\(5.(0.9)^{3}\)

.......

+ After x minutes, it left 90% of    \(5.(0.9)^{x-1}\)

or

\(5.(0.9)^{x}\)

So the answer is \(5.(0.9)^{x}\), that means C

Answer:

Mean will be affected.

Step-by-step explanation:

The mean value of the data set will be affected as it depends on the magnitude of data points and not its position. The median however will not change since it depends on the relative position of data points.

In the quadrilateral ABCD and LBNM the corresponding angles and line segments are as follow,

∠A = ∠L, ∠D =∠M , ∠C = ∠N , and

AB = LB , CD = NM ,  DA = ML.

Quadrilateral ABCD rotates 180 degrees around point B,

New quadrilateral formed named LBMN

The corresponding angle after rotation of 180 degrees around B is equals to,

B remain at same position.

A rotates and point L take the position of A.

D rotates and point M take the position of D.

C rotates and point N take the position of C.

Corresponding angle to A is angle L.

Corresponding angle to D is angle M.

Corresponding angle to C is angle N.

Similarly corresponding segments are of ABCD and LBNM are

Line segment AB corresponds to line segment LB.

Line segment CD corresponds to line segment NM

Line segment DA corresponds to line segment ML.

Therefore, in the quadrilateral the corresponding angles and line segments are ∠A = ∠L, ∠D =∠M , ∠C = ∠N , AB = LB , CD = NM , and DA = ML.

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(i) the coordinates of the vertex S = Q + QS = (-1, -1) + (2, 2) = (1, 1).

(ii) the coordinates of the point of intersection of the diagonals PR and QQS is point (-1, 0).

(i) The coordinates of the vertex S can be found by shifting the vector PQ to QS. The vector PQ is given by Q - P = (-1 - (-3), -1 - (-1)) = (2, 0). The vector QS can be found by shifting PQ by 2 units vertically, so QS = (2, 2). To find the coordinates of S, we add the vector QS to the point Q: S = Q + QS = (-1, -1) + (2, 2) = (1, 1).

(ii) The point of intersection of the diagonals PR and QS can be found by finding the midpoint of each diagonal and checking if they are equal. The midpoint of PR is given by ( (1 + -3)/2 , (1 + -1)/2 ) = (-1, 0). The midpoint of QS is given by ( (1 + -1)/2 , (1 + 1)/2 ) = (0, 1). Since the midpoints are equal, the diagonals PR and QS intersect at the point (-1, 0).

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Answer:

\(\text{27}\)

Step-by-step explanation:

Given that :

\(\text{Dimension of poster board} = 1 \ \text{yd} \ \text{by} \ 1 \ \text{yd}\)

\(\text{Dimension of each poster board} = \dfrac{1}{3} \ \text{yd} \ \text{by} \ \dfrac{1}{9} \ \text{yd}\)

Number of poster signs that can be cut :

\(\text{Area of poster sign} = \dfrac{1}{3} \times \dfrac{1}{9} = \dfrac{1}{27} \ \text{yard}^2\)

\(\text{Area of poster board} = 1 \ \text{yard}^2\)

Number of poster signs that can be cut :

\(\dfrac{\text{Area of poster board}}{\text{Area of poster sign}}\)

\(1 \ \text{yard}^2\div (\dfrac{1}{27} ) \ \text{yard}^2\)

\(1 \div \dfrac{1}{27}\)

\(1 \times \dfrac{27}{1}\)

\(\bold{= 27 \ poster \ signs}\)

Answer:

If each tile has a number from 0 thru 9 then the possible outcomes for each tile are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.

Answer: (7x - 2) + (4x) + (5x - 10) = 180

Explanation: The sum of all angles in a triangle is 180º, so you need to make all the angles in the triangle equal to 180º when writing an equation.

The confidence interval in the form p+E is p ± E = 0.7725 ±0.435

The confidence interval is given as:

0.555< p < 0.99

To rewrite the above expression in the form p+E, we use the following equations

p = (0.99 + 0.555)/2 = 0.7725

E = (0.99 - 0.555) = 0.435

So, we have:

p ± E = 0.7725 ±0.435

Hence, the confidence interval in the form p+E is p ± E = 0.7725 ±0.435

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Answer:

Step-by-step explanation:

a) Let's denote the number of coffees sold as 'x' and the number of cappuccinos sold as 'y'.

The equation that represents the given information is:

2.50x + 3.75y = 222.50

b) To solve the equation, we need to find the values of 'x' and 'y' that satisfy the equation.

Since we have two variables and only one equation, we cannot determine the exact values of 'x' and 'y' independently. However, we can find possible combinations that satisfy the equation.

Let's proceed by assuming values for one of the variables and solving for the other. For example, let's assume 'x' is 40 (number of coffees):

2.50(40) + 3.75y = 222.50

100 + 3.75y = 222.50

3.75y = 222.50 - 100

3.75y = 122.50

y = 122.50 / 3.75

y ≈ 32.67

In this case, assuming 40 coffees were sold, we get approximately 32.67 cappuccinos.

We can also assume different values for 'x' and solve for 'y' to find other possible combinations. However, keep in mind that the number of drinks sold should be a whole number since it cannot be fractional.

Therefore, one possible combination could be around 40 coffees and 33 cappuccinos sold.

Answer:

292

Step-by-step explanation:

Answer:

292

Step-by-step explanation:

12X25=300

300+2=302

302-10=292

PEMDAS

also used calculator

look it up on internet

The given scenario, where a sample of teen drivers at a high school is surveyed about their engagement in the illegal activity of texting while driving, is an example of Selection bias. Option C

Selection bias occurs when the process of selecting participants for a study or survey is not random or representative of the entire population.

In this case, the sample consists only of teen drivers at a high school, which may not accurately represent all teen drivers in the broader population. The sample is limited to a specific group, which can introduce bias and affect the generalizability of the results to the wider population of teen drivers.

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It would take 18 days for 4 workers to complete the job.

Step-by-step explanation:

As d goes up, w goes down by the same amount.

X = 9*8 = 72

18*4 = 72

likewise, 2*36 = 72

3*24 = 72

6*12 = 72

And so on....

Answer:

300,000$

Step-by-step explanation

Based on the given conditions,

formulate:

150,000 x (100% + 100%)

•••••••••••••••••••••••••••••••••

150,000 x (1 + 1)

= 150,000 x 2

= 300,000

{ Alternative Forms: 3 x 10⁵ }

Answer:

Ben bought a Rolex for $150,000 with a 100% markup, It will cost 300,000$

•♣••♠••♣••♠••♣••♠••♣••♠••♣•

Answer:

$300,000

Step-by-step explanation:

It's probably the Rolex Daytona Cosmograph Rainbow.

Answer:

The parabolic shape of the door is represented by \(y - 32 = -\frac{2}{49}\cdot x^{2}\). (See attachment included below). Head must 15.652 inches away from the edge of the door.

Step-by-step explanation:

A parabola is represented by the following mathematical expression:

\(y - k = C \cdot (x-h)^{2}\)

Where:

\(h\) - Horizontal component of the vertix, measured in inches.

\(k\) - Vertical component of the vertix, measured in inches.

\(C\) - Parabola constant, dimensionless. (Where vertix is an absolute maximum when \(C < 0\) or an absolute minimum when \(C > 0\))

For the design of the door, the parabola must have an absolute maximum and x-intercepts must exist. The following information is required after considering symmetry:

\(V (x,y) = (0, 32)\) (Vertix)

\(A (x, y) = (-28, 0)\) (x-Intercept)

\(B (x,y) = (28. 0)\) (x-Intercept)

The following equation are constructed from the definition of a parabola:

\(0-32 = C \cdot (28 - 0)^{2}\)

\(-32 = 784\cdot C\)

\(C = -\frac{2}{49}\)

The parabolic shape of the door is represented by \(y - 32 = -\frac{2}{49}\cdot x^{2}\). Now, the representation of the equation is included below as attachment.

At x = 0 inches and y = 22 inches, the distance from the edge of the door that head must observed to avoid being hit is:

\(y -32 = -\frac{2}{49} \cdot x^{2}\)

\(x^{2} = -\frac{49}{2}\cdot (y-32)\)

\(x = \sqrt{-\frac{49}{2}\cdot (y-32) }\)

If y = 22 inches, then x is:

\(x = \sqrt{-\frac{49}{2}\cdot (22-32)}\)

\(x = \pm 7\sqrt{5}\,in\)

\(x \approx \pm 15.652\,in\)

Head must 15.652 inches away from the edge of the door.

Answer:

Write the expression (−15.5) + 35.5 in a different way, using the commutative

Answer:

y=2.9

Step-by-step explanation:

The constant proportion of y = 2.9x is 2.9.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 9 is an equation.

We have,

y = 2.9x

This can be written as,

y ∝ x

y = kx

Where k is the constant of proportionality.

Now,

Comparing y = kx and y = 2.9x

k = 2.9

Thus,

The constant proportion is 2.9.

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Answer:

  96°

Step-by-step explanation:

You want the value of angle C in the diagram with two parallel lines and a triangle between them.

The sum of angles in a triangle is 180°, so the missing angle in the triangle is ...

  180° -60° -24° = 96°

Angle C and the one we just found are alternate interior angles with respect to the parallel lines and the transversal that forms those angles. As such, they are congruent:

  C = 96°

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Multiplying means adding a value a given number of times to zero

The number of squares in 7,011 tablecloths is 252,396 squares

The above number of squares in 7,011 tablecloths is correct for the following reason:

The known number of squares on each red and white checkered tablecloth = 36 squares

Required:

The number of squares in 7,011 tablecloths

Solution;

To find the number of squares on the 7,011 tablecloths, we have;

Number of squares in a given number of units of tablecloth = Number of squares per unit of tablecloth × Number of tablecloths

∴ Number of squares in 7,011 tablecloths = 36 squares × 7,011 tablecloth

Number of squares in 7,011 tablecloths = 36 squares × 7,011 tablecloth = 252,396 squares

The number of squares in 7,011 tablecloths = 252,396 squares

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Answer:  not a triangle

Step-by-step explanation:

To form a triangle, the sum of any two sides must be greater than the third side. (Triangle Inequality Theorem.) Let's check that first.

6 + 12 = 18, and the third side is 19

6 + 12 should be greater than the third side, but it's not.

Well, we got lucky and finished quickly. This can't be a triangle.