What is the probability that either event will occur?
Now, find the probability of event B.
B
A
O
18
6
12
P(B) = [?]
Enter as a decimal rounded to the nearest hundredth.

Roller staking is more popular because it has a higher amount of results.

The percentage of 8th graders that want to go to the water is 70%

The relative frequency of an event is the proportion of the total no. of a result under which a defined event occurred with respect to the whole actual event.

So, from the given table:

\(\mathbf{\implies \dfrac{x}{100}\times 0.20 = 0.14}\)

\(\mathbf{\implies0.20x = 14}\)

\(\mathbf{\implies x = 70\%}\)

c.

There is an association between the grade level and the field trip, this is because as the grade level increases, the field trip decreases.

d.

If the trend continues, the 9th graders will prefer the water slides to the roller skating, this is because the proportion of the water slides is more than the roller skating down the trend.

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El número de puntos visibles para el será de 84.

Dado que Luis forma una torre con seis dados normales colocados sobre una mesa, para determinar cuántos puntos cómo mínimo son visibles para él se debe realizar el siguiente cálculo:

La suma de la cara del dado ubicada boca abajo, más su contraria, siempre dará 7. Por ende, en tanto 1 + 2 + 3 + 4 + 5 + 6 - 7 = 14, y 14 x 6 es igual a 84, el número de puntos visibles para el será de 84.

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Answer:El número de puntos visibles para el será de 84.

Step-by-step explanation:

To proceed with this analysis, we assume that the individuals in the sample were randomly selected and that the samples are independent.

Additionally, the sample sizes are large enough to apply the normal approximation to the sampling distribution of the difference in proportions.Using these assumptions, we can calculate the confidence in is 37/77 ≈ 0.481. The proportion of men who follow a regular exercise program is 44/85 ≈ 0.518. The difference between these proportions is 0.518 - 0.481 ≈ 0.037.

The 95% confidence interval for the difference in proportions can be calculated using the formula: difference ± (critical value) * sqrt[(p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2)] where p1 and p2 are the proportions of women and men, n1 and n2 are the respective sample sizes, and the critical value corresponds to a 95% confidence level. Performing the calculations, the 95% confidence interval for the difference in proportions is approximately 0.037 ± 0.129, which gives us a range from -0.092 to 0.166.

Interpreting this interval, we can say that with 95% confidence, the true difference between the proportions of women and men who follow a regular exercise program lies within the range of -0.092 to 0.166. This means that there is insufficient evidence to conclude that there is a significant difference in the proportions of women and men who follow a regular exercise program. The interval includes zero, indicating that the difference could be negligible or non-existent.

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Answer:

no solutions

Step-by-step explanation:

6n - 6n - 12 = 14 - 2 = 12 ( add 12 to both sides )

0 = 24 ← not possible

this indicates the equation has no solution

The fractions is simplified to 8ac²/ 5

A fraction can be described as the part of a whole element, number or variable.

There are different types of fractions, which includes;

Examples of improper fractions; 5/3, 7/5

Examples of proper fractions; 3/4, 5/6

Examples of mixed fractions; 3 1/2, 4 5/6

Examples of simple fractions; 1/2 , 1/ 4

From the information given, we have that;

\(\frac{32a^2bc^3}{20abc}\)

This is simplified to;

32 × a × a × b × c × c × c/ 20 × a × b × c

Divide the common terms

8ac²/ 5

Hence, the fractions is 8ac²/ 5

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The correct answer is yes, because the p-value is 0.0145.

Null hypothesis is the car accidents are equally distributed through out the year

Alternate hypothesis is the car accidents are not equally distributed through out the year

Given that,

Observed Frequencies = O

Spring - 27

Summer - 39

Fall - 31

Winter - 53

Total number of car accidents = 150

Expected Frequencies = E

Spring - 150/4 = 37.5

Summer - 150/4 = 37.5

Fall - 150/4 = 37.5

Winter - 150/4 = 37.5

Test Statistic = 10.5333

Degrees of freedom = 4-1=3

For 3 degrees of freedom ,

p-value = 0.0145;

Given,  level of significance :

=0.05;

As p-value is 0.0145 < level of significance

0.05; Reject null hypothesis.

Hence, there is sufficient evidence to conclude that car accidents are not equally distributed through out the year because the p-value is 0.0145.

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Answer:

175

Step-by-step explanation:

30% of 250 is 75 and 70% of 250 is 175

Answer:

175

Step-by-step explanation:

K = 30%

Y = ???

X = 250

Turn 30% into a decimal then mutiply from 250

The simplified representation of the expression given as 2x² + 6x is 2x(x + 3)

From the question, the expression is given as

2xsquared +6x

Rewrite the expression properly

So, we have the following equation

2x² + 6x

Factor out x from the above expression

So, we have the following equation

2x² + 6x = x(2x + 6)

Factor out 2 from the above expression

So, we have the following equation

2x² + 6x = 2x(x + 3)

Hence, the simplified expression of 2x² + 6x is 2x(x + 3)

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The number that best completes the sequence is 194,481

To find the number that best completes the sequence, let's analyze the pattern:

Looking at the sequence, it appears that every alternate number is the result of squaring the previous number.

3^2 = 9

4^2 = 16

5^2 = 25

20^2 = 400

21^2 = 441

So, based on this pattern, the next number in the sequence would be:

441^2 = 194,481.

Therefore, the number that best completes the sequence is 194,481.

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Using the histogram, the mean of the data-set is estimated to be of 31.

In this problem, the intervals and relative frequencies are:

Hence, the mean is:

\(E(X) = 23\frac{4}{30} + 28\frac{8}{30} + 33\frac{14}{30} + 38\frac{4}{30} = \frac{23(4) + 28(8) + 33(14) + 38(4)}{30} = 31\)

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Answer:

Step-by-step explanation:

that is incorrect.

if it were to be equal, one side should equal each other when multiplied to make the ratio equal.

20-5x=40-10x (when multiplied by 2 on each side)

It CANNOT equal 50, if it were there would not be -10x

20-5x=100-25x

DIVIDE BY 2 to get 50 WOULD GIVE:

20-5x=50-17.5x

Answer:

Yes

Step-by-step explanation:

solve the equation for x , then evaluate and compare both sides

20 - 5x = 50 - 10x ( add 10x to both sides )

20 + 5x = 50 ( subtract 20 from both sides )

5x = 30 ( divide both sides by 5 )

x = 6

then

left side = 20 - 5x = 20 - 5(6) = 20 - 30 = - 10

right side = 50 - 10x = 50 - 10(6) = 50 - 60 = - 10

since both sides are equal then

20 - 5x = 50 - 10x is true

Answer:

4v^2 + 6v + 3

Step-by-step explanation:

Answer:

one hundred forty five point five hundred sixty one

Step-by-step explanation:

145 is one hundred forty five and then the . is point and 561 is five hundred sixty one so that's why it's one hundred forty five point five hundred sixty one

Therefore, the center of pressure on the triangular sail is approximately (1.2, 0.9).

The center of pressure on a boat's sail that occupies a region R in the plane is given by

x = ∬R xydA/∬R ydA` and y = ∬R x²ydA/∬R xydA`.

To calculate the center of pressure on a triangular sail with vertices (0,0),(3,2) and (0,7) we will use the following formulas:

x = ∬R xydA/∬R ydA

y = ∬R x²ydA/∬R xydA

Remember that in this case, the region R in the plane is the triangular sail with vertices (0,0), (3,2), and (0,7).

Hence, the equations for x-bar and y-bar are:x-bar = ∬R xydA/∬R ydA= ∫(x=0 to x=3) ∫(y=0 to y=(7x/3))

=  xy dy dx/ ∫(x=0 to x=3) ∫(y=0 to y=(7x/3)) y dy dx= 42/35= 1.2 units (approx)

And,y-bar = ∬R x²ydA/∬R xydA= ∫(x=0 to x=3) ∫(y=0 to y=(7x/3)) x²y dy dx/ ∫(x=0 to x=3) ∫(y=0 to y=(7x/3)) xy dy dx= 63/70= 0.9 units (approx)

Therefore, the center of pressure on the triangular sail is approximately (1.2, 0.9).

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Illinois city-to-airport distances can be discovered using a distance spatial join. The utilized unit is while linear measurements utilize meters or feet, angular units for measurement use degrees.

A system called a geographic information system (GIS) is one that collects, organizes, processes, and maps all kinds of data.

Illinois city-to-airport distances can be discovered using a distance spatial join.

Thus, the utilized unit is while linear measurements utilize meters or feet, angular units for measurement use degrees.

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The joint relative frequency of a female student who is studying French is 30 %.

The joint relative frequency of a female student who is studying French can be found by dividing the number of female students studying French by the total number of female students.

From the table shown, we have a total of 12 female students studying French and we have a total of 40 female students.

The joint relative frequency is therefore :

= 12 / 40 x 100 %

= 0. 3 x 100 %

= 30 %

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The question is incomplete as the side lengtb of the cube isn't given. Taking the side length to b

be a value, x

Answer:

Step-by-step explanation:

Given that :

The side length = x

To obtain the amount of fabric which would be required for covering the funky, we Obtian the total surface area of the foam. Cube.

Using he relation :

Surface area of a cube = 6 * s² ; the side length s = x

Surface area = 6 * x².

Hypothetically,

Let x = 7 cm

E

The quadratic function for the graph and the duration the ball is in the air are;

Function; f(t) = -16·(t - h)² + k

Duration the ball is in the air is about 3.02 seconds

A quadratic function is a function that can be expressed in the form; f(x) = a·x² + b·x + c, where a ≠ 0, and a, b, and c are numbers.

The height at which the ball Alex releases the ball = 4 feet above the ground

The time it takes the ball to reach maximum height = 1.5 seconds

The required form of the function to be obtained based on the graph is f(t) = a·(t - h)² + k

f(t) = The height of the ball at time t

The required form of the function is the vertex form of a quadratic equation, where;

(h, k) = The coordinates of the vertex = (1.5, 40)

The points on the graph are; (0, 4), (3, 3)

Therefore; f(0) = a·(0 - 1.5)² + 40 = 4

a·(0 - 1.5)²  = 4 - 40 = -36

a = -36/(1.5²) = -16

The equation is; f(t) = -16·(t - 1.5)² + 40

The time the ball is in the air can be obtained from the function f(t) = -16·(t - 1.5)² + 40 as follows;

f(t) = -16·(t - 1.5)² + 40 = 3

-16·(t - 1.5)² = 3 - 40 = -37

(t - 1.5)² = -37/(-16)

(t - 1.5) = (√(37))/4

t = (√(37))/4 + 1.5 ≈ 3.02

The time the ball is in the air about 3.02 seconds

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Answer:

\(\frac{31}{33}\)

Step-by-step explanation:

You need a common denominator to add.  The smallest number that is divisible by both 11 and 3 is 33.  Rewrite both fractions with a denominator of 33

\(\frac{3}{11}\) x \(\frac{3}{3}\)         \(\frac{3}{3}\) is just another name for 1.  We are making an equivalent fraction.  Multiple 3 x3 for the top and 11 x 3 for the bottom to get:

\(\frac{9}{33}\)

Do the same for \(\frac{2}{3}\)

\(\frac{2}{3}\) x \(\frac{11}{11}\)       \(\frac{11}{11}\) is just another name for 1.  We are making an equivalent fraction.  Multiple 2 x 11 for the top and 3 x 11 for the bottom to get:

\(\frac{22}{33}\)

Now add these two fractions together:

\(\frac{9}{33}\) + \(\frac{22}{33}\) = \(\frac{31}{33}\)

The answer to this question is that the number of automorphisms of g, where g = a × a and a is cyclic of order p, is equal to 2.

An automorphism is a bijective homomorphism from a group to itself. In other words, an automorphism preserves the group structure and the bijection property. For g = a × a, we can define an automorphism f(g) as f(g) = a^-1ga.

To show that there are only two automorphisms for g, we can consider the possible values of f(a) for the automorphism f(g). Since f(g) must preserve the group structure, f(a) must be an element of the cyclic group generated by a. Therefore, f(a) can only be a^k, where k is some integer between 0 and p-1.

However, we also know that f(g) = a^-1ga. So if f(a) = a^k, then f(g) = a^-1(a^ka)a = a^(k+1). Therefore, there are only two possible automorphisms for g: the identity automorphism (which maps a to itself) and the automorphism which maps a to a^-1.

In summary, the number of automorphisms of g = a × a, where a is cyclic of order p, is equal to 2: the identity automorphism and the automorphism which maps a to a^-1.

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  Let's see the other options :

7(1+2x)

Use the distributive property :

7+14x

Is 7+14x equivalent to 6+12x? No.

The expression equivalent to 6+12x is :

6(1+2x) ← divide 6+12x by 6 and put it outside the parentheses

hope helpful ~

Answer:

a) 40kg b) 245g

Step-by-step explanation:

a) the total mass of the group of 4 students is 30 x 4 = 120

the total mass of the group of 5 students is 32 x 5 = 160

160 - 120 = 40

b) the total mass of 5 articles is 215 x 5 = 1075

the total mass of 6 articles is 220 x 6 = 1320

1320 - 1075 = 245

Answer:

28

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

(1/2)56 = a - b

28 = a - b

a + 28 = 56

a = 28

5) Transitive property of equality

6) Addition property of equality

7) Subtraction property of equality

8) Division property of equality

9) Multiplication property of equality

10) Transitive property of congruence

11) Substitution property of equality

12) Addition property of equality [add XY to both sides then use segment addition postulate]

13) Subtraction property of equality [subtract XY from both sides then use segment subtraction postulate]

14) Angle addition postulate

15) Addition property of equality [add angle 2 to both sides then use angle addition postulate]

16) Transitive property of equality

Answer:

J. (2, -3)​

Step-by-step explanation:

1. Substitute y = x - 5 in for y in the other equation:

5x + 2(x - 5) = 4

2. Simplify:

5x + 2x - 10 = 4 (distributed the 2)

7x - 10 = 4

3. Isolate for x:

7x - 10+10 = 4+10

7x = 14

7x/7 = 14/7

x = 2

4. Plug the new x value into an equation and solve for y:

y = 2 - 5

y = -3

hope this helps!

To form the negation of a conditional statement, we change the "if-then" connective to "if and only if", which is represented by the symbol "⟺". This is also known as the biconditional connective.

To form the negation of a conditional statement, we change the "if-then" connective to "if and only if", which is represented by the symbol "⟺". This is also known as the biconditional connective.

For example, the conditional statement "If it rains, then the ground is wet" can be negated by changing the "if-then" connective to "if and only if", resulting in "It is not the case that if it rains, then the ground is wet", which can be written symbolically as "It rains ⟺ The ground is not wet".

Note that the negation of a conditional statement is not equivalent to the inverse or converse of the statement. The inverse of a conditional statement involves negating both the hypothesis and the conclusion, while the converse involves switching the hypothesis and the conclusion.

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Answer:

c

Step-by-step explanation: