Which of the following is incorrect? P(A∩B)=P(A)P(B) if A and B are independent. P(A∪B)=P(A)+P(B)−P(A)P(B) for any two events A and B. P(AUB)=P(A)+P(B)−P(A)P(B) if A and B are independent. P(A∩B)=0 if A and B are mutually exclusive/disjoint.

The solutions of the equation  x² + 2x + 10 = - 3x + 4 are  x=-2 and x=-3

The given equation is x² + 2x + 10 = - 3x + 4.

Take all the terms to the left side

x² + 2x + 10+3x-4=0

Combine the like terms

x²+5x+6=0

x²+2x+3x+6=0

Take out the factors

x(x+2)+3(x+2)=0

(x+3)(x+2)=0

x=-2 and x=-3

Hence, x=-2 and x=-3 are the solutions of the equation  x² + 2x + 10 = - 3x + 4.

To learn more on Quadratic equation click:

https://brainly.com/question/17177510

#SPJ1

Answer: y=0.2x-2

Step-by-step explanation: Find the slope. (4,-1) (0,-2) are the two points I picked.

(-2)-(-1)=(-1)

0-4=(-4)

-1/-4=1/4=0.2

The y-intercept is -2.

Therefore, the answer is y=0.2x-2.

Answer:

-x-5

Step-by-step explanation:

Multiply every part inside the equation by -1.

x*-1 and 5*-1

-1x+-5x

Simplify.

-x-5

Answer:

sin is .6, Cos is .8 and tan is .75

Step-by-step explanation:

Ez

Therefore, the height of the figurine is approximately 18.7 inches.

To find the height of the figurine, we need to use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (in this case, the slant height) is equal to the sum of the squares of the other two sides.
In this case, the slant height is 20 inches, and one of the other sides is half the length of the base of the square pyramid (since the triangle formed by the slant height, the height of the pyramid, and one of the sides of the square base is a right triangle).
So, using the Pythagorean theorem:
20^2 = h^2 + (14/2)^2
400 = h^2 + 49
h^2 = 351
h ≈ 18.7
To summarize, we used the Pythagorean theorem to find the height of a square pyramid-shaped figurine. By recognizing that one of the right triangles formed by the slant height, the height of the pyramid, and one of the sides of the square base had a base length of half the length of the square base, we were able to set up an equation and solve for the height of the figurine. Using the Pythagorean theorem, we found that the height was approximately 18.7 inches, rounded to the nearest tenth of an inch.

To know more about square pyramid visit:

https://brainly.com/question/31200424

#SPJ11

Answer:

- 1 1/2

Step-by-step explanation:

- 23/6 + 7/3

LCD = 6

- 23/6 + 14/6

(- 23 + 14)/6

- 9/6

- 3/2

- 1 1/2

Answer:

What is  -23/6 - 7/3?

✔ –37/6

Step-by-step explanation:

I got this right on edge 2021

Hope this helps!

:D

At simba travel agency, the price of a climbing trip to mount kilimanjaro includes an initial fee and the initial fee is $110.

In the given equation, f = 110 + 0.12d, we are told that f represents the fee (in dollars) for climbing d meters. We need to determine the initial fee, which is the fixed amount that is added regardless of the number of meters climbed.

By examining the equation, we can observe that the initial fee is represented by the constant term, which is 110. This means that regardless of the number of meters climbed, there is a base fee of $110.

The additional term, 0.12d, represents the fee per meter climbed. This term varies based on the distance covered and is calculated by multiplying 0.12 by the number of meters climbed (d).

Therefore, the initial fee is $110. This amount is charged upfront to cover the basic costs associated with the climbing trip, such as administration, guides, and other fixed expenses. The additional fee per meter climbed is added to account for the variable costs directly proportional to the distance covered during the climb.

Know more about distance here:

https://brainly.com/question/30395212

#SPJ8

Answer:

first give options it is very hard to do

The height of the jet is approximately 6603.6 meters.

Let AB be the line joining the two observation points A and B and let C be the position of the jet.

Let AC = h be the height of the jet above the horizontal line AB.

From A and B, respectively, angles of elevation of the jet are 43° and 62°. Let D be the foot of the perpendicular from C to AB.

Since angle of elevation of the jet from point A is 43°,

angle ADC = 90° - 43°

angle ADC = 47°.

Similarly,

angle ABD = 90° - 62°

angle ABD = 28°.

Now in triangle ADC, we have

tan 47° = h / AD

=> AD = h / tan 47°.

In triangle ABD, we have

tan 28° = h / BD

=> BD = h / tan 28°.

Adding these two, we have:

AB = AD + BD

AB = h / tan 47° + h / tan 28°

Applying the formula of the distance between two points in terms of their coordinates, we have:

AB = sqrt((28.5)² + h²)

Putting the two expressions of AB equal to each other and solving for h, we get:

h / tan 47° + h / tan 28° = sqrt((28.5)² + h²)h * (1 / tan 47° + 1 / tan 28°)

= sqrt((28.5)² + h²)h² * (1 / tan 47°² + 1 / tan 28°² + 2 / (tan 47° * tan 28°)))

= (28.5)² * tan² 47°(1 / tan 47°² + 1 / tan 28°² + 2 / (tan 47° * tan 28°)))h²

= (28.5)² * tan² 47° / (1 / tan 47°² + 1 / tan 28°² + 2 / (tan 47° * tan 28°)))h

= 6603.6 meters (approx.)

Therefore, the height of the jet is approximately 6603.6 meters.

For such more questions on height

https://brainly.com/question/1739912

#SPJ8

Answer:

112

Step-by-step explanation:

Answer:

yes, bills paid online over the weekend would not be seen until the next business day, usually Monday.

Answer:

second that -x is the correct answer

Answer:

1/2 scale factor.

Step-by-step explanation:

The polygon was dialated with a scale factor of 1/2

Hope this helps!

Answer:

70% of the sixth graders participate in school sports

Step-by-step explanation:

63 ÷ 90 = 0.7 =70

round the decimal two places to the right

Hope this helps!!

Answer: No, both statements are false.

Step-by-step explanation: it's logical a square has to have 4 sides no more and no less.

The statements are not logically equivalent because D.) No, both statements are false.

A square is a regular quadrilateral in Euclidean geometry, which means it has four equal sides and four equal angles. It can also be defined as a rectangle with two adjacent sides of equal length.

A square is a regular polygon with four equal sides and four equal angles of 90° each. A square is a closed two-dimensional shape with four equal sides and four vertices. Its opposing sides are perpendicular to each other. A square can also be thought of as a rectangle with equal length and width.

In this case, a square has four sides. Therefore, the information given about the square is wrong. The correct option is D.

Learn more about square on;

https://brainly.com/question/25092270

#SPJ1

Since nickel is 5 cents and a dime is 10 cents, the possible tolls that you can pay need to be multiplies of 5 cents.

Let on represent the number of a ways

for the number of different ways the bus

The driver can pay a toll of 5n rent first case.

The first case used in a nickel then there are ways to pay =

57 - 5 = 5 ( 1 - 1 ) cents

The second case: - The coin used is a dime, then

there is a long way to

pay 5n - 10 2 5 ( 1 - 2 ) cents -

Adding the numbers of sequence of all

In three cases, we then obtain

an = an - 1 an +2

Initially, when n 20 there is exactly I way to pay cents ( using no coins )

when an = 1 there is exactly I to way

to pay 5 cents ( using one tickle )

q =f .

Learn more about nickel here: https://brainly.com/question/9181464

#SPJ4

Any value between 110 and 250 is within 2 standard deviations of the mean. In other words, any data point between 110 and 250 is considered within this range.

Within 2 standard deviations of the mean refers to the range that includes data points within two units of standard deviation from the mean. In this case, the mean is 180 and the standard deviation is 35.

To find the range within 2 standard deviations of the mean, we need to calculate the upper and lower bounds.

The upper bound can be found by adding 2 standard deviations (2 * 35 = 70) to the mean: 180 + 70 = 250.

The lower bound can be found by subtracting 2 standard deviations (2 * 35 = 70) from the mean: 180 - 70 = 110.

Therefore, any value between 110 and 250 is within 2 standard deviations of the mean. In other words, any data point between 110 and 250 is considered within this range.

It's important to note that this answer is specific to the given mean and standard deviation. If the mean and standard deviation were different, the range within 2 standard deviations would also be different.

Always calculate the upper and lower bounds based on the provided mean and standard deviation to determine the range within 2 standard deviations accurately.

For more such questions deviations,click on

https://brainly.com/question/475676

#SPJ8

Answer:

Step-by-step explanation:I don't say you have to mark my ans as brainliest but if you think it has really helped you plz don't forget to thank me...

The system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

A line process has three processing stages with the characteristics given below:

Stage A B C Unit processing time(minutes) 1 2 3 Number of machines 1 1 2 Machine availability 90% 100% 100% Process yield at stage 100% 100% 100%

To determine the system capacity and the bottleneck stage and utilization of Stage 3:

The system capacity is calculated by the product of the processing capacity of each stage:

1 x 1 x 2 = 2 units per minute

The bottleneck stage is the stage with the lowest capacity and it is Stage A. Therefore, Stage A has the lowest capacity and determines the system capacity.The utilization of Stage 3 can be calculated as the processing time per unit divided by the available time per unit:

Process time per unit = 1 + 2 + 3 = 6 minutes per unit

Available time per unit = 90% x 100% x 100% = 0.9 x 1 x 1 = 0.9 minutes per unit

The utilization of Stage 3 is, therefore, (6/0.9) x 100% = 666.67%.

However, utilization cannot be greater than 100%, so the actual utilization of Stage 3 is 100%.

Hence, the system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

Know more about bottleneck  here,

https://brainly.com/question/32590341

#SPJ11

Answer:

i have did thiskmlm'kl

Step-by-step explanation:

alot

Answer:

21

Step-by-step explanation:

The exact length of the curve described by the parametric equations x = 8 + 3t², y = 3 + 2t³, for 0 ≤ t ≤ 2, is 2√5 - 2.

To find the exact length of the curve described by the parametric equations, we can use the arc length formula for parametric curves:

L = ∫[a,b] √[(dx/dt)² + (dy/dt)²] dt

Given the parametric equations x = 8 + 3t² and y = 3 + 2t³, we need to find dx/dt and dy/dt and then evaluate the integral over the given range 0 ≤ t ≤ 2.

First, let's find dx/dt:

dx/dt = d/dt (8 + 3t²)

       = 6t

Next, let's find dy/dt:

dy/dt = d/dt (3 + 2t³)

       = 6t²

Now, let's substitute these derivatives into the arc length formula and evaluate the integral:

L = ∫[0,2] √[(6t)² + (6t²)²] dt

  = ∫[0,2] √(36t² + 36t⁴) dt

  = ∫[0,2] √(36t²(1 + t²)) dt

  = ∫[0,2] 6t√(1 + t²) dt

To evaluate this integral, we can use a substitution. Let u = 1 + t², then du = 2t dt. Substituting these values, we get:

L = ∫[0,2] 6t√(1 + t²) dt

  = ∫[1,5] 3√u du

Integrating with respect to u:

L = [2√u] | [1,5]

  = 2√5 - 2√1

  = 2√5 - 2

Therefore, the exact length of the curve described by the parametric equations x = 8 + 3t², y = 3 + 2t³, for 0 ≤ t ≤ 2, is 2√5 - 2.

Learn more about Length.

brainly.com/question/2497593

#SPJ11

The subtended arc along the circle is 79/360 of the circle's circumference. Therefore, the subtended arc is approximately 0.2194 times as long as 1/360 of the circle's circumference.


To find the length of the subtended arc along the circle, we need to know what fraction of the circle's circumference it represents.

The angle measures 79 degrees, which is a little over 1/5 of a full circle (which measures 360 degrees). Therefore, the subtended arc represents a little over 1/5 of the circle's circumference. More precisely, it represents 79/360 of the circle's circumference.

To find out how many times as long the subtended arc is as 1/360 of the circle's circumference, we can divide the length of the subtended arc by the length of 1/360 of the circle's circumference. This gives us:

(79/360) / (1/360) = 79

So the subtended arc is 79 times as long as 1/360 of the circle's circumference. Alternatively, we can express this as a decimal by dividing the subtended arc by 1/360:

(79/360) ÷ (1/360) = 0.2194

So the subtended arc is approximately 0.2194 times as long as 1/360 of the circle's circumference.

To know more about circumference click on below link:

https://brainly.com/question/28757341#

#SPJ11

Answer:

The domain is x and the Range is y

Answer:

x-axis

Step-by-step explanation:

Answer:

6 ÷ 3 = -6/-3

(-3)/6 = 3 ÷ (-6) = -(3/6)

6/(-3) = -(6/3)

leftover: -3/-6

Answer:

the answer is 48m²

Step-by-step explanation:

mark me brainlist please!!