A ∩ B = ∅, P(A) = 0.4, P(A ∪ B) = 0.9. Find P(B)


Find P(B).

Answer: 3 times 5 minus a number x

Step-by-step explanation:

Answer:

Class B

Step-by-step explanation:

duh

Answer:

b

Step-by-step explanation:

Clarissa's sister will have $150 left to pay after 24 weeks.

An function in mathematics defines a relationship between one variable (the independent variable, x)  and another variable (the dependent variable, y). Example -

y = f{x} = ax + b

Given is the equation as -

- 18.75x + 600 = 150

The given equation is -

- 18.75x + 600 = 150

- 18.75x = - 450

x = (450/18.75)

x = 24 weeks

Therefore, Clarissa's sister will have $150 left to pay after 24 weeks.

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Answer:

3200

Step-by-step explanation:

1 1/2 US tons is 3000 pounds. Add the 200 pounds of hay and you get 3200. Hope this helps.

Answer:

[tex]4y^{2}[/tex]

Step-by-step explanation:

A = Area

w = width

l = length

[tex]A=lw[/tex]

in this equation the area is [tex]32xy^{3}[/tex] and the length is [tex]8xy[/tex].

To find the equation we simply have to divide the area ([tex]32xy^{3}[/tex]) by the length ([tex]8xy[/tex]).

[tex]32xy^{3} =(8xy)w[/tex]

When dividing, it's important to remember two things:

Using these two rules, we divide the common bases (number by number, x by x, y by y):

[tex]\frac{32}{8}=4[/tex]

[tex]\frac{x}{x}=1[/tex]

[tex]\frac{y^{3} }{y}=y^{2}[/tex]

Multiplying all of them together, we find that the width is:

[tex]4y^{2}[/tex]

Cylindrical shells: finding volume by rotating region around y-axis by integrating thin cylindrical shell area with height dr and radius f(x) over an interval.

To find the volume generated by rotating a region about the y-axis using the method of cylindrical shells, you need to integrate the area of a thin cylindrical shell with height dr and radius f(x) (where f(x) is the equation of the boundary curve) over the interval of x.

The volume generated by rotating the region bounded by the given curves can be found using the following formula:

[tex]V=\pi \int\limits[a,b] {(f(x))^{2} } \, dr[/tex]

Here, a and b are the lower and upper limits of the interval, and f(x) is the equation of the boundary curve. The integration should be performed over the given interval to obtain the volume.

In essence, the method of cylindrical shells involves wrapping the region around the y-axis to form a series of cylindrical shells and finding the volume of each shell, then summing up all the volumes to get the final volume.

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The solution is, by integrating ∫(3-2x)^10 dx using substitution, we get, -1/22.(3-2x)^11 +C.

In mathematics, an integral assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining infinitesimal data. The process of finding integrals is called integration.

here, we have,

∫(3-2x)^10 dx

now, let, 3-2x=u

so, -2. dx = du

i.e. by substitution we get,

∫u^10 du/-2

=1/-2 . ∫u^10 du

we know, ∫x^n= x^n+1/ (n+1) +c

so, we get,

⇒1/-2.1/11. u^11 +C

=-1/22.(3-2x)^11 +C

where, c=constant.

Hence, The solution is, by integrating ∫(3-2x)^10 dx using substitution, we get, -1/22.(3-2x)^11 +C.

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The experimenter cannot control the probability of a Type I error, but they can control the level of significance they set, and that will determine the probability of making this type of error.

The probability of committing a Type I error is determined by the level of significance (α, alpha) that one chooses. This is because the level of significance is the probability of rejecting the null hypothesis when it is actually true. In other words, the level of significance is the probability of making a Type I error (falsely rejecting the null hypothesis). For example, if the level of significance is set to 0.05, then the probability of making a Type I error is 0.05. This can be expressed mathematically as: P(Type I Error) = α. Therefore, the experimenter cannot control the probability of a Type I error, but they can control the level of significance they set, and that will  the probability of making this type of error.

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Answer:

15

Step-by-step explanation:

since the graph is proportional we can divide 30 by 2 we get 15

to double check we will divide 60 by 4 and we also get 15

so 15 pies are produced every hour

The values of data measured on this scale can be rank ordered and have meaningful differences between scale points. For this scale, there is also an absolute zero. It is called interval scale.

The values of data measured on this scale can be a number or a name, but they can be rank ordered I'd called Ordinal scale.

The ordinal scale can be observed with a distinction that shows the order or level of the object being measured based on certain parameters.

The characteristics of the ordinal scale are

Interval scale is a scale that uses fixed intervals in determining categories. So this scale is called an interval scale, this scale has characteristics similar to nominal and ordinal scales, but differs because of the intervals used as a guide.

Interval Scale feature

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The correct option is D, The probability that the Z-transform is greater than 2 in absolute value Pr (Z] > 2) is approximately 5%.

The Empirical rule states that 2 standard deviation from mean contains 95% data.

For,  Z follows standard normal distribution.

[tex]Z ~ Normal(\mu=0, \sigma=1)[/tex]

Then,

P( -2 ≤ Z≤ +2) = 0.95

Or

P(|Z| ≤ 2) = 0.95

And

P( |Z|>2) = 1 - P(|Z|≤2)

P(|Z|>2) = 1- 0.95

P(|Z|>2) = 0.05 = 5%

Probability is a mathematical concept that deals with the likelihood of events or outcomes. It is expressed as a number between 0 and 1, with 0 meaning no chance of an event occurring and 1 meaning that an event is certain to occur. In probability theory, random experiments are performed and the results are analyzed to determine the probability of specific outcomes.

For example, if you roll a dice, there are 6 possible outcomes and each outcome has a probability of 1/6. In statistics, probabilities are used to make predictions and to analyze data. The use of probabilities is essential in fields such as insurance, finance, and decision making as it provides a framework for making decisions based on uncertain information. Probability is an important tool for understanding and making decisions about the world around us.

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Complete Question: -

Suppose that in a population of interest, a random variable education, which measures an individual's educational attainment in years, has a mean of 13.20 =13.2) and a variance of 9 o? = 9 ). The following questions all refer to properties of the sample mean of education ( education ) which is an estimator constructed from a random sample of size n = 100 drawn from the population. Question 4 1 pts The probability that the Z-transform is greater than 2 in absolute value Pr (Z] > 2) is approximately: O 2.5% 95% unknown O 5%

Answer:

26 inches, or 2 ft 2 in.

Step-by-step explanation:

1 ft = 12 in.

6 ft 8 in. = 6 ft + 8 in. =

= 6 ft × 12 ft / in. + 8 in.

= 72 in. + 8 in.

= 80 in.

He needs 80 inches.

80 - 54 = 26

Answer 26 inches or 2 ft 2 in.

Answer:

he needs 26 inches

Step-by-step explanation:

The area of each composite figure is 828.96 cm².

A 3D object's surface area is the entire area that all of its faces cover. For instance, the surface area of a cube is its surface area if we need to determine how much paint is needed to paint it. It is consistently expressed in square units.

Given:

Surface area = SA of Cone + SA of Hemisphere

Cone:

radius = 8 cm

slant height = 17 cm

So, SA of Cone = πrl

                          = 3.14 x 8 x 17

                          = 427.04 cm²

Hemisphere:

radius = 8 cm

So, SA of Hemisphere = 2πr²

                                     = 2 x 3.14 x 8 x 8

                                     = 401.92 cm²

Thus, the SA of figure = 427.04 + 401.92 = 828.96 cm²

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Answer:

B

Step-by-step explanation:

please refer to the sketch for details

Answer:11

Step-by-step explanation: yup

The remaining length when 85 cm is cut from 1.3 meters is 0.45 meters.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

We know, 1.3 meters = 1.3×100 cm = 130 cm.

Now, 83 cm is cut from it.

Therefore, The remaining length is,

= (130 - 85) cm.

= 45 cm.

And 45 cm is equal to (45/100) meters.

= 0.45 meters.

Q. 83 cm is cut from 1.3 meters what would the remaining length in meters?

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Answer:

31

Step-by-step explanation:

I'm not sure if it's possible to use mode in this equation. To find the number of cards in each stack, you just need to divide 527 by 17 and you'll find your answer.

527/17 = 31

Answer:

Step-by-step explanation:

you look it up, If that doesn't work, see if someone asked the same question on this, if not, I got nothing.

Answer: The statement "Stephen failed to avoid spoilers on the new Star Wars movie" contains a negative phrase "failed to avoid". When a sentence contains a negative phrase, it can sometimes be difficult to determine the meaning. However, in this case, the meaning of the sentence is that Stephen did see spoilers on the new Star Wars movie. The use of "failed to avoid" indicates that Stephen made an effort to avoid spoilers but was unsuccessful, which means that he saw them.

Step-by-step explanation:

The total area of the given 5 square rooms is (3×14²)+(2×17²). Therefore, option A is the correct answer.

The area of a thing is the amount of space it occupies in two dimensions. It is the measurement of the quantity of metric squares that completely cover the entire surface of an enclosed figure. The square unit, which is frequently expressed as square inches, sq.ft, etc., is the accepted unit of area.

Area is the entire amount of space occupied by a plain (2-D) surface or an object's form. The area of a planar figure is the area that its perimeter encloses. The quantity of unit triangles that cover a closed figure's surface is its area. Area is measured in units like mm in diameter and m2.

Given that, sides of three square rooms measure 14 feet each, and sides of two square rooms measure 17 feet each.

We know that, area of square =a², where a is the side of square

Now, area of a square room with side 14 feet

= 14² square feet

The area of 3 square room with sides 14 feet

= 3×14² square feet

The area of a square room with side 17 feet

= 17² square feet

The area of 2 square room with sides 17 feet

= 2×17² square feet

So, total area of these five rooms

= (3×14²)+(2×17²) square feet

The total area is (3×14²)+(2×17²). Therefore, option A is the correct answer.

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The missing number must make the expression a perfect square trinomial in the form [tex](a + b)^2[/tex].

This means that the missing number must be equal to the product of the two factors outside the parentheses, minus the square of the number inside the parentheses.

In this case, the missing number must be equal to [tex]100x^2 - x^2, or 99x^2[/tex].

Using the FOIL method (First, Outer, Inner, Last), we can expand [tex](x + x)^2 to get x^2 + 2x^2 + x^2[/tex]. Since the expression we are working with is [tex]100x^2 + 2x^2 + x^2[/tex], the missing number is [tex]99x^2[/tex].

Therefore, the missing number that makes this expression the square of a binomial is [tex]99x^2[/tex].The missing number must make the expression a perfect square trinomial in the form [tex](a + b)^2[/tex].

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Answer:

true

Step-by-step explanation:

A unit rate is a price for one unit of anything. This is written as a ratio with a denominator of one.

Answer: -10

Step-by-step explanation:

A 130

The red line meets the measuring tool at 155 and 25 therefore we get:

155-25 = 130

Answer:

x≥10

Step-by-step explanation:

Answer:

x ≥ 10

Step-by-step explanation:

To solve for x, we simply have to subtract 6 from both sides.

x + 6 ≥ 16

   - 6    - 6

x ≥ 10

Then, we can graph this inequality on the number line.

(See the attached image)

Answer:

Step-by-step explanation:

27/x

243  students signed up for only Math.

The way that sets are represented by a person is always the same: as a group of clearly defined objects or elements. A capital letter designates a set. The cardinal number of a set is the number of elements in the finite set.

Given A survey of 300 SPC students

let  L denote language, H for humanities, and M for maths,

and given, n(L ∪ H ∪ M) = 300

n(L) = 52, students had signed up for a Language Arts course

n(H) = 40, students had signed up for a Humanities course

n(M) =  students signed up for only Math

LM  = 23,  students had signed up for both a Math and Language

MH = 6,  students had signed up for both Math and Humanities

LH = 8, students had signed up for both a Language Arts and Humanities

n(LHM) = 3 students had signed up for all three courses

n(LM) = 23 + 3 = 26

n(MH) = 6 +3 = 9

n(LH) = 8 + 3 = 11

8 students did not sign up for any of these classes

using the formula of triple intersection,

n(L ∪ H ∪ M)  = n(L) + n(H) + n(M) - n(LM)   - n(MH)   - n(LH)   + n(LHM).

300 - 8 = 52 + 40 + n(M) - 26 - 9 - 11 + 3

n(M) = 292 - 49

n(M) = 243

Hence 243  students signed up for only Math.

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The statement “The relationship between the spring constant (k), the mass (m), and the period of oscillation (t) is given by the equation (19) this is not a linear equation, but it can be linearized using the same method used to linearize equation 10.” is true because equation 19 can indeed be linearized with the same method used to linearize equation 10.

Equation 10 is a non-linear equation and can be linearized by taking the natural logarithm of both sides. This will convert the equation into a linear form which can be used to calculate the parameters of the original equation.

Similarly, equation 19 can be linearized by taking the natural logarithm of both sides. The linearized form of equation 19 will also be useful in finding out the parameters of the original equation.

By linearizing the equations, it becomes easier to solve for the parameters of the equations. This is because linear equations are much simpler and can be solved using basic algebraic methods.

Linear equations can also be solved using matrix methods and can be used to solve for the parameters of the original equations more accurately.

Therefore, it is true that equation 19 can be linearized using the same method used to linearize equation 10. This will make it easier to solve for the parameters of the original equation.

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It is not appropriate to assume that the sampling distribution of the sample mean is approximately normal when the sample size is small and the population distribution is skewed to the right or to the left. So, the options C and D are not appropriate. A and B are appropriate as the sample size is large and the population is normally distributed. E is also appropriate as the sample size is large.

The central limit theorem states that if we have a large enough sample size (typically n >= 30) from any population with a well-defined mean and finite variance, then the distribution of the sample mean approaches a normal distribution with mean equal to the population mean and variance equal to the population variance divided by the sample size.

However, if the population distribution is highly skewed, meaning it is not symmetric, then even a large sample size may not lead to a normal distribution of the sample mean.

In this case, it is not appropriate to assume that the sampling distribution of the sample mean is approximately normal. This is why options C and D are not appropriate as the sample size is large (10 and 75 respectively) but the population distribution is skewed to the right or to the left. On the other hand, options A and B are appropriate as the sample size is large and the population is normally distributed. Option E is also appropriate as the sample size is large, regardless of the shape of the population distribution.

The complete question is given below:

""

For which of the following conditions is it not appropriate to assume that the sampling distribution of the sample mean is approximately normal?

A) A random sample of 8 taken from a normally distributed population.

B) A random sample of 50 taken from a normally distributed population.

C) A random sample of 10 taken from a population distribution that is skewed to the right.

D) A random sample of 75 taken from a population distribution that is skewed to the left.

E) A random sample of 100 taken from a population that is uniform.

"

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