Assume that P(E) = 0.471 and P(F) = 0.595. If E and F are independent, find P(E and F)

Answer:

Z=3

Step-by-step explanation:

1 1/2+1 1/2= 2+1=3

Answer:

0,1,2,3,4

Step-by-step explanation:

Answer:

I THINK 1

Step-by-step explanation:

Answer:

If the length is 4 units greater than W then it is equal to w*4..

Step-by-step explanation:

A=L*W

A=4*w

A=w*4 or A=4w

We add  (x +7 ) (x - 10) up to -3 and multiply to -70.

What is a quadratic equation?

Any equation in algebra that can be written in the standard form where x denotes an unknown value and a, b, and c denote known numbers, where a 0 is a quadratic equation.

Here,

We illustrate and prove that -9 and 10 multiply to -90 and add up to 1:

7 × -10 = -70

-10 + 7 = -3

We are trying to determine how to factor the following quadratic equation.

x²  -3 x - 70 = 0

If so, the solution to factor the quadratic equation above is:

(x +7 ) (x - 10)

To summarize, -10 and 7 multiplied by -70 and add up to -3, you know that the following is true:

x² -3x - 70

= (x +7 ) (x - 10)

Hence, we add  (x +7 ) (x - 10) up to -3 and multiply by -70.

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Answer:

6/1000

Step-by-step explanation:

.0006 times 10,000

Answer:

6,690 boxes per hour

Step-by-step explanation:

Given:

Number of boxes fill = 6,021

Time is taken = 0.9 hour

Find:

Number of boxes fill per hour

Computation:

Number of boxes fill per hour = Number of boxes fill (1 hour / Time taken)

Number of boxes fill per hour = 6,021 (1 hour / 0.9 hour)

Number of boxes fill per hour = 6,690

The triangles are not congruent.

What is congruent of the triangle?

The shapes maintain their equality regardless of how they are turned, flipped, or rotated before being cut out and stacked. We'll see that they'll be placed entirely on top of one another and will superimpose one another. Due to their identical radius and ability to be positioned directly on top of one another, the following circles are considered to be congruent.

Any two figures can be perfectly positioned over one another to demonstrate their congruence. The relationship between two figures that are said to be congruent is described using the word "congruence."

The term "Triangle" refers to a closed polygon formed by three line segments forming three angles.

If the lengths of the sides and angles of two triangles match, they are said to be congruent. As a result, two triangles can be placed side by side and angle by angle.

As given in the two triangles they didn't have any concurrence,

SSS (Side-Side-Side)

SAS (Side-Angle-Side)

ASA (Angle-Side-Angle)

AAS (Angle-Angle-Side)

So the triangles are not congruent.

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Answer:

9

Step-by-step explanation:

2x+3=3x-6

3+6=3x-2x

9=x

Answer:

x=  9

Step-by-step explanation:

hello :

2x +3 = 3x -6

2x-3x=-6-3

-x= -9

so : x=  9

Answer:

2(w+3)

Step-by-step explanation:

2(w+3) or 2w+6

Answer:

44.44 %

Step-by-step explanation:

16 000 / 36 000 = .4444   = 44.44%

Answer:

144.44 yd

Step-by-step explanation:

\(C=2\pi r \approx (2)(3.14)(23)=144.44\) yd

In summary, the difference between these two regression equations is mainly in the notation used to represent the regression coefficients, with lowercase letters used in simple linear regression models and uppercase letters used in multiple linear regression models.

In mathematics, an equation is a statement that asserts that two mathematical expressions are equal to each other. It usually contains one or more variables, which are placeholders for values that can vary. Equations are used to describe mathematical relationships and to solve problems. They can take many forms, such as linear equations, quadratic equations, polynomial equations, exponential equations, and so on. The specific form of an equation depends on the type of problem being solved and the mathematical relationships involved.

Here,

Both the regression equations ^y = b0 + b1x and Y = B0 + B1x are used to model the relationship between a dependent variable (y or Y) and an independent variable (x). However, the key difference between these two equations lies in the notation used to represent the regression coefficients.

In the first equation ^y = b0 + b1x, the regression coefficients are represented with lowercase letters (b0 and b1). This notation is typically used in simple linear regression models where there is only one independent variable. The hat symbol (^) over the y indicates that this is an estimated value of y based on the model.

In the second equation Y = B0 + B1x, the regression coefficients are represented with uppercase letters (B0 and B1). This notation is typically used in multiple linear regression models where there are two or more independent variables. The capitalization of the letters helps to distinguish them from the coefficients in the simple linear regression model.

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Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12

Answer:

king, queen, jack, ace

Step-by-step explanation:

this depends on what game's rules and scoring you're using, but I'd say the face cards

A) The value of x in log₄(x² - 12x + 48) = 2, is x = 4 OR x = 8

B) The value of x in 27^(4x-6) =(1/9)^(2x-7), is x = 2

From the question, we are to solve the given equations

The given equation is log₄(x² - 12x + 48) = 2

From one of the laws of logarithm, we have that

logₐ x = n ⇒ x = aⁿ

Thus,

log₄(x² - 12x + 48) = 2 becomes

(x² - 12x + 48) = 4²

x² - 12x + 48 = 16

x² - 12x + 48 - 16 = 0

x² - 12x + 32 = 0

Solve the quadratic equation

x² - 12x + 32 = 0

x² - 8x - 4x + 32 = 0

x(x - 8) -4(x - 8) = 0

(x - 4)(x - 8) = 0

x - 4 = 0 OR x - 8 = 0

x = 4 OR x = 8

B) 27^(4x-6) =(1/9)^(2x-7)

Solve for x

27^(4x-6) =(1/9)^(2x-7)

Express the bases in index form

3^3(4x-6) =(3)^-2(2x-7)

Equate the powers

3(4x - 6) = -2(2x - 7)

12x - 18 = -4x + 14

12x + 4x = 14 + 18

16x = 32

Divide both sides by 16

16x/16 = 32/16

x = 2

Hence, the value of x is 2

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The BR is the perpendicular bisector of AC by CPCTC (corresponding parts of congruent triangles are congruent).

Based on the given information that angles ABR and ACR are right angles, and AB = AC, we can conclude that triangles ABR and ACR are right triangles.

Using the shared hypotenuse AR and the reflexive property, we can determine that side AB is congruent to side AC.

With this information, the transitive property allows us to conclude that angle BAR is congruent to angle CAR. Next, using the HL congruence postulate, we can prove that triangle ABR is congruent to triangle ACR.

This means that side BR is congruent to side CR, and angle BAC is bisected by line segment BR by the definition of bisector.

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Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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Answer:

F(-5) = -5

F(0) = 10

(-5 , 10)

Answer:

x=-36

Step-by-step explanation:

Answer:

25.13

Step-by-step explanation:

2 π r

2 x π x 4 =25.13

The sixth term of the geometric sequence is 2048.

The given geometric sequence is 2, 8, 32, 128. We can observe that each term is obtained by multiplying the previous term by 4. Therefore, the common ratio (r) of the sequence is 4.

The formula for the nth term (an) of a geometric sequence is given by:

an = a1 * r^(n-1)

where a1 is the first term and r is the common ratio.

For this sequence, a1 = 2 and r = 4. Plugging in these values into the formula, we get:

an = 2 * 4^(n-1)

To find a6, we substitute n = 6 into the formula:

a6 = 2 * 4^(6-1)

  = 2 * 4^5

  = 2 * 1024

  = 2048

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The Probable question may be:
Write an equation for the nth term of the geometric sequence 2, 8, 32, 128,

Then find a6. Round to the nearest tenth if necessary.

a = 5×4 X

a1 = n-1 X

Answer:

The percentage of 18 people out of 50 is 36 %

Step-by-step explanation:

The percentage refers to the per hundred or hundredths and is ended with the symbol %.  By dividing two amounts, ratios and percentages are both used to compare the two amounts.

so,

Therefore the percentage of 18 people out of 50 people is 36 %.

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1) The probabilities are given as follows:

a) More than 75: 0.0301 = 3.01%.

b) Between 60 and 73: 0.4484 = 44.84%.

c) Less than 50: 0.1057 = 10.57%.

2) The proportion of students who fail the module is of: 0.0062 = 0.62%.

3) The measures are given as follows:

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation in this problem are given as follows:

\(\mu = 60, \sigma = 8\)

The probability that an score is more then 75 is one subtracted by the p-value of Z when X = 75, hence:

Z = (75 - 60)/8

Z = 1.88

Z = 1.88 has a p-value of 0.9699.

1 - 0.9699 = 0.0301 = 3.01%.

The probability of an score between 60 and 73 is the p-valeu of Z when X = 73 subtracted by the p-value of Z when X = 60, hence:

Z = (73 - 60)/8

Z = 1.63

Z = 1.63 has a p-value of 0.9484.

Z = (60 - 60)/8

Z = 0

Z = 0 has a p-value of 0.5.

Then:

0.9484 - 0.5 = 0.4484 = 44.84%.

The probability of an score less than 50 is the p-value of Z when X = 50, hence:

Z = (50 - 60)/8

Z = -1.25

Z = -1.25 has a p-value of 0.1057.

The proportion who might fail the test is the p-value of Z when X = 40, hence:

Z = (40 - 60)/8

Z = -2.5

Z = -2.5 has a p-value of 0.0062.

Then the statistical measures are obtained as follows:

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Answer:

the slope of the line is: 0

Step-by-step explanation:

4-4=0

-2-5= 3

Answer:

the answer is 4

Step-by-step explanation:

4^3 is 64 this making the answer 4

Step-by-step explanation:

Team A time is    1 garden / ( 1 garden/ 2 hr + 1 garden/4 hr) = 1 1/3 hr

Team B =   1 / ( 1/3 + 1/3) =  1 1/2 hr

Team A wins !

Answer:

This is pretty simple

Step-by-step explanation:

So the only thing you need to know about negatives and positives is that if your multiplying or dividing a number with 1 negative in the expreession/equation The answer will always result in a negative. If its 2 negatives its always positive. Thats all you need to know and then just solve it from there.

Answer:

See explanation and picture below.

Step-by-step explanation:

In both multiplication and division of 2 numbers, different signs give you negative and equal signs give you positive.

In other words, positive & positive or negative and negative give you a positive answer.

Negative and positive or positive and negative give you negative answer.

Step-by-step explanation:

I assume the question is about the distance between both points.

2 points in the coordinate grid create a right-angled triangle :

their direct connection (distance) is the Hypotenuse (the baseline, it is the side opposite of the 90° angle), and the x and y coordinate differences are the legs.

so, we can use Pythagoras to get the distance.

c² = a² + b²

c being the Hypotenuse, a and b being the legs.

so,

distance² = (-9 - -7)² + (-4 - -1)² = (-9 + 7)² + (-4 + 1)² =

= (-2)² + (-3)² = 4 + 9 = 13

distance = sqrt(13) = 3.605551275...

just in case, if you needed the line equation connecting these 2 points, I would assume the slope-intersect form

y = ax + b

"a" being the slope, "b" being the y-intersect (the y-value when x = 0).

the slope is always the ratio (y coordinate difference / x coordinate difference) when going from one point on the line to another.

using the 2 given points

x changes by +2 (from -9 to -7).

y charges by +3 (from -4 to -1).

the slope is

+3/+2 = 3/2

and our equation looks like

y = 3x/2 + b

now we use the coordinates of 1 point, e.g. (-7, -1), to get b

-1 = 3/2 × -7 + b = -21/2 + b

-1 + 21/2 = b

-2/2 + 21/2 = b

19/2 = b

our equation is then

y = 3x/2 + 19/2

or

y = (1/2)×(3x + 19)