Suppose that E and f are two events and that P(E and F)=0.3 and P(E)=0.5. What is P(F/E)?

the 2 angles are equal so both are 148

Answer:

B i just took the test

Step-by-step explanation:

It's B lol

Answer:

A) 5,9,11 does not create a right triangle

All of the others do. In order for A to be a right triangle it would have to 5,9,10.3; so A is definitely not a right triangle.

The solution is,  15 is the value of x in the equation 3 x - y = 30,

when y = 15.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

here, we have,

given that,

the equation 3x - y = 30,

now, we have, to find the value of x in the equation 3 x - y = 30,

when y = 15

so, we get,

3x - y = 30

putting y = 15, we get,

3x - 15 = 30

or, 3x = 30 + 15

or, 3x = 45

or, x = 45/3

or, x = 15

Hence, 15 is the value of x in the equation 3 x - y = 30, when y = 15.

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The area of the shaded region is [ (36 * √3)/4 - 3 * (9 * √3)/4 ] square units = (36 * √3)/4 - 27 * √3/4 square units = 9 * √3/4 square units.

The area of a triangle can be found using the following formula:

Area = (base * height) / 2

The area of the shaded region can be found by subtracting the sum of the areas of three small equilateral triangles from the area of the original equilateral triangle.

Each of the small equilateral triangles has side length 3, since it is half the length of the original triangle's sides. The area of each small triangle is (3^2 * √3)/4 = (9 * √3)/4 square units.

The area of the original equilateral triangle is (6^2 * √3)/4 = (36 * √3)/4 square units.

Hence, the area of the shaded region is [ (36 * √3)/4 - 3 * (9 * √3)/4 ] square units = (36 * √3)/4 - 27 * √3/4 square units = 9 * √3/4 square units.

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Answer:

21°

Step-by-step explanation:

Let smaller angle be x

Bigger angle = 2x + 27

Since they are complementary they all sum up to 90°

Therefore 2x + 27 + x = 90

3x = 90 - 27

3x = 63

x = 21, therefore the smaller angle is 21°

Answer:

$12

Step-by-step explanation:

Answer: $12

Step-by-step explanation: 3x4=12

Answer:

m=0

Step-by-step explanation:

the slope is calculated using two points on the line and the formula

m = (y2 - y1) ÷ (x2 - x1)

where

x1 and y1 are the coordinates of point 1

x2 and y2 are the coordinates of point 2

for example, you can take

point 1 = (x1;y1) = (-2;3)

point 2 = (x2;y2) = (-1;3)

then your slope is

m = (3 - 3) ÷ (-1 - (-2)) = 0

notice that x1 is always at the left of x2 on the x axis

and it makes sense that your slope is 0 because for each x your y is the same

the surface area of the cylinder is approximately 471 dm².

Now, For the surface area of the cylinder, we need to find the lateral area  and the area of the two circular bases.

Since, The formula for the lateral area of a cylinder is

L = 2πrh,

where r is the radius of the cylinder and h is the height.

In this case, the diameter is 10 dm,

So the radius is 5 dm.

And the height is also 10 dm.

Therefore, the lateral area is:

L = 2πrh

L = 2π(5 dm)(10 dm)

L = 100π dm²

The formula for the area of a circle is

A = πr²,

where r is the radius.

In this case, the radius is 5 dm,

So the area of each base is:

A = πr²

A = π(5 dm)²

A = 25π dm²

To find the total surface area, we add the lateral area and the area of the two bases:

SA = 2(Area of Base) + Lateral Area

SA = 2(25π dm²) + 100π dm²

SA = 50π dm² + 100π dm²

SA = 150π dm²

Substitute pi as 3.14, we can calculate:

SA ≈ 150(3.14) dm²

SA ≈ 471 dm²

Therefore, the surface area of the cylinder is approximately 471 dm².

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The transformations that change the domain of a function are given as follows:

The domain of a function is defined as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.

Hence we must look at transformations that change the values of x of the function, which are given as follows:

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The value of secant XY is 37.5 units.

The Secant-Secant Theorem states that "if two secant segments which share an endpoint outside of the circle, the product of one secant segment and its external segment is equal to the product of the other secant segment and its external segment".

Using the theorem above, we can say:

VZ * VW = VX * VY

30 * 45 = 22.5 * VY

22.5VY = 1350

VY = 1350/22.5

VY = 60 units

Since VY = VX + XY. We have:

60 = 22.5 + XY

XY = 60 - 22.5

XY = 37.5 units

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Answer:

2350

Step-by-step explanation:

23.5 × 100 move the decimal point right by 2 because there's two 0

Answer:

2,350

Step-by-step explanation:

23*100=2300

.5*100=50

Answer:

2350

The expression that gives you a value of 3 times larger than (820 + 220) are:

3(820 + 220)

2460 + 660

Options A and C are the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

(820 + 220)

= 1040

Now,

3 x 1040

= 3120

Now,

A)

3(820 + 220)

= 3 x 1040

= 3120

B)

3(820) + 2(220)

= 2460 + 440

= 2900

C)

2460 + 660

= 3120

D)

820 x 220 x 3

= 541200

Thus,

3(820 + 220) and 2460 + 660 give the value of 3 times larger than

(820 + 220).

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Answer:

A. -3 < y ≤ 3

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According the the graph, our line's y-value spans from -3 to 3. Since -3 is an open dot, it is exclusive from the range. Since 3 is closed dot, it is inclusive in range:

(-3, 3] or -3 < y ≤ 3

Answer:

B 33

Step-by-step explanation:

Given:

Perform the matrix operations,

Answer:

Answer:

i think is 7/12

because if 4/7 chose pasta,1/5 chose pizza then we add 7+5=12 then we sudstract 12-4-1 = 7.

hope that helps

The amount of bird seed that Chidi put in his smaller feeder, given the amount put in the large feeder, is 2 kg of bird seed

The amount of bird seed that was put into the large feed, was more than the amount put in the small feed by 1 ³ / ₁₀ times.

To find the amount of seed that Chidi put in the small feeder can be done by the formula:

= Amount of bird seed in large feed / Proportion more than small feed

= 2 ³ / ₅ ÷ 1 ³ / ₁₀

= 2. 60 / 1. 30

= 2 kg of bird seed

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The full question is:

Chindi puts 2 3/5 kg of bird seed in his large feede. This is 1 3/10 times as much bird seed as he puts in his smaller feeder. How much bird seed does Chidi put in his smaller feeder?

Answer:uh -1

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

To find the median, we find the middle of the data set.

7, 9, 11, 14, 18, 20, 30, 35

There are 8 values

7, 9, 11,    14, 18,     20, 30, 35

The median is between the 4th and 5th numbers

We need to find the mean of the middle two numbers

(14+18)/2 =32/2= 16

Answer:

16

Step-by-step explanation:

             \(\sf (\frac{n+1}{2}\:)^ t^h \:data\)

       Here,

             n ⇒ number of terms

Let us find it now.

7, 9, 11, 14, 18, 20, 30, 35

\(\sf Median=\sf (\frac{n+1}{2}\:)^ t^h \:data\\\\\sf Median=\sf (\frac{8+1}{2}\:)^ t^h \:data\\\\\sf Median=\sf 4.5^ t^h \:data\)

In this case, add 4th and 5th data and divide it by 2.

\(\sf Median = \frac{14+18}{2}\\\\ \sf Median = \frac{32}{2}\\\\\sf Median = 16\)

The smallest integer that Pearl wrote down is -12.Let's assume the smallest integer that Pearl wrote down is represented by the variable "x."

According to the given information, the sum of the seven consecutive integers is equal to $\frac{21}{4}$ times the largest integer.

The sum of consecutive integers can be expressed as the sum of an arithmetic series. The sum of an arithmetic series can be calculated using the formula:

Sum = (n/2)(first term + last term)

In this case, the first term is x and the last term is x + 6 (since there are seven consecutive integers). Therefore, the sum of the integers can be written as:

Sum = (7/2)(x + (x + 6))

Simplifying the equation:

(7/2)(2x + 6) = (21/4)(x + 6)

Multiplying both sides by 4 to eliminate the fractions:

14x + 42 = 21x + 126

Subtracting 14x from both sides:

42 = 7x + 126

Subtracting 126 from both sides:

-84 = 7x

Dividing both sides by 7:

-12 = x.

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The percentage of women with weights that are within the limits is:

60.93%

Can be calculated using the normal distribution formula. First, we need to find the z-scores for both the lower and upper limits:

z-score for lower limit = (132.4 - 168.7) / 48.8 = -0.74

z-score for upper limit = (217 - 168.7) / 48.8 = 0.99

Next, we can use a z-table to find the corresponding probabilities for these z-scores:

Probability for lower limit = 0.2296

Probability for upper limit = 0.8389

Finally, we can subtract the lower probability from the upper probability to find the percentage of women with weights that are within those limits:
Percentage = 0.8389 - 0.2296 = 0.6093

Therefore, approximately 60.93% of women have weights that are within the limits of 132.4 lb and 217 lb.

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To accurately determine the amount they would have to buy, we would need the specific measurements of the pool, the desired fence height and any other requirements they have.

To determine how much Gwen and Lisa would have to buy to replace the fence on their pool, we would need more specific information about the pool's dimensions, the type of fence they want, and any other relevant details.

Let's consider some factors that could affect the amount they would need to purchase:

Perimeter of the pool:

The length of the fence required would depend on the perimeter of the pool.

If we know the dimensions of the pool, we can calculate its perimeter by adding up the lengths of all sides.

Fence height:

The height of the fence is another important factor. Depending on local regulations or personal preferences, Gwen and Lisa might need a specific height for their pool fence.

This would determine the length of fencing material they need to purchase.

Fence type and style:

Different types of fences, such as chain-link, wood, vinyl, or wrought iron, have varying costs and installation requirements.

The choice of fence material and style will impact the amount they would have to buy.

Gates and openings:

If Gwen and Lisa require gates or openings in the fence, they would need to account for these as well.

The number and size of gates would affect the total amount of fencing material needed.

With these details, we can calculate the perimeter, account for gates and openings and factor in the material type and style to provide an estimate of the amount of fencing they need to purchase.

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Answer:

145

Step-by-step explanation:

Angles in a straight line = 180

So,

Let unkown angle be x,

x+35=180

x=180-35

x=145

Answer:

a

Step-by-step explanation:

you should Mark me brainliest;)

The rate (in km/h) at which the distance from the plane to the radar station is increasing a minute later is 0 km/h (rounded to the nearest whole number).

To solve this problem, we can use the concepts of trigonometry and related rates.

Let's denote the distance from the plane to the radar station as D(t), where t represents time. We want to find the rate at which D is changing with respect to time (dD/dt) one minute later.

Given:

The plane is flying with a constant speed of 360 km/h.

The plane passes over the radar station at an altitude of 1 km.

The plane is climbing at an angle of 30°.

We can visualize the situation as a right triangle, with the ground radar station at one vertex, the plane at another vertex, and the distance between them (D) as the hypotenuse. The altitude of the plane forms a vertical side, and the horizontal distance between the plane and the radar station forms the other side.

We can use the trigonometric relationship of sine to relate the altitude, angle, and hypotenuse:

sin(30°) = 1/D.

To find dD/dt, we can differentiate both sides of this equation with respect to time:

cos(30°) * d(30°)/dt = -1/D^2 * dD/dt.

Since the plane is flying with a constant speed, the rate of change of the angle (d(30°)/dt) is zero. Thus, the equation simplifies to:

cos(30°) * 0 = -1/D^2 * dD/dt.

We can substitute the known values:

cos(30°) = √3/2,

D = 1 km.

Therefore, we have:

√3/2 * 0 = -1/(1^2) * dD/dt.

Simplifying further:

0 = -1 * dD/dt.

This implies that the rate at which the distance from the plane to the radar station is changing is zero. In other words, the distance remains constant.

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