Please answer will give brainliest

The probability that: either a or b occur

P(AUB)=0.9

This is further explained below.

Generally, In the fields of logic and probability, two occurrences are said to be mutually exclusive or discontinuous if it is impossible for both of them to take place at the same moment. One obvious illustration of this is the possible results of a single flip of a coin, which may produce either heads or tails, but not both at the same time.

Therefore,

P(AUB)=P(A)+P(B)

P(AUB)=0.7+0.2

P(AUB)=0.9

In conclusion,

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CQ

Suppose that a and b are mutually exclusive events for which p(a) = 0.2 and p(b) = 0.7. what is the probability that: either a or b occur7

Answer:

1. 729

2. 25

3. 513

4. 343

5. 1

Step-by-step explanation:

1.

3x3x3x3x3x3

9x9x9

81x9

729

2.

-5 x -5

5x5

25

3.

8-6=2

2x2x2x2x2=

4x4x2=

16x2=

32

-2x-2x-2x-2=

4x4=

16

32x16+1=513

4.

7x7x7x7=

49x49=

2401

2401x2401=

5764801

7x7x7x7x7=

2401x7=

16807

5764801/16807 = 343

5.

9-1=8

8x8x8=512

6+2=8

8x8x8=512

512/512=1

Answer:

N = -5

Step-by-step explanation:

Move the decimal point right until it is right after the first significant figure.

N = 5

But wait! It's a decimal so it has to be negative.

N = -5

Answer:

N=-5

Step-by-step explanation:

I just wanted the points lol

Answer:

x = -5/4

Step-by-step explanation:

3x= 5+7x    (subtract 7x from both sides)

3x - 7x = 5

-4x = 5    (divide both sides by -4)

x = 5/(-4)

x = -5/4

Answer:

\(Given:\)

\(8x-6 > 12 + 2x\)

\(8x-2x>12+6\)

\(6x>18\)

\(x>18/6\)

\(x>3\)

\(5>3\)

\(ANSWER: D)\:5\)

------------------------

Hope it helps...

Have a great day!!

Answer:

47°

Step-by-step explanation:

So we know <AOC = <BOC+<AOB

The angles in a straight angle always add to 180, and we are given expressions for <BOC and <AOB, so we can write the above expression like this:

180 = 6x+29 + 3x+124

180 = 9x+153

9x=27

x=3

Now sub our value for x into the expression for <BOC:

<BOC = 6x+29 = 6(3) +29 = 18+29=47

C. (∃x)(A(x) ∧ B(x)) ⇔ (∃x)A(x) → (∀y)B(y)

This statement is incorrect. The left-hand side states that there exists an x such that both A(x) and B(x) are true.

Therefore, the incorrect statement is option C.

A = {{1, 2, 3}, {4, 5}, {6, 7, 8}}

Hence. Option D is wrong.

In set theory, a subset relation is denoted by ⊆, and a proper subset relation is denoted by ⊂. A subset relation indicates that all elements of one set are also elements of another set.

In this case, let's evaluate the options:

A. ∅ ⊆ A: This option is correct. The empty set (∅) is a subset of every set, including A.

B. {6, 7, 8} ⊂ A: This option is correct. The set {6, 7, 8} is a proper subset of A because it is a subset of A and not equal to A.

C. {{4, 5}} ⊂ A: This option is correct. The set {{4, 5}} is a proper subset of A because it is a subset of A and not equal to A.

D. {1, 2, 3} ⊂ A: This option is incorrect. The set {1, 2, 3} is not a subset of A because it is not included as a whole within A. The element {1, 2, 3} is present in A but is not a subset.

In conclusion, the incorrect option is D, {1, 2, 3} ⊂ A.

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Answer:

384 cm³

Step-by-step explanation:

To find the volume of raspberries in Kendrick's box you have to use the formula to calculate the volume of a box:

V= l*w*h, where

l=Length: 8 cm

w=width: 8 cm

h= height: 6 cm

Then, you can replace the values in the formula:

V= 8cm*8cm*6cm

V=384 cm³

According to this, the answer is that the volume of raspberries in Kendrick's box is 384 cm³.

The experimental probability of landing on a number greater than 4 is 18/60

The experimental probability will be given by the number of times that the outcome was greater than 4 (so a 5 or a 6) over the total number of trials.

We can see that the total number of trials is 60, and we have:

The outcome 5 a total of 10 times.

The outomce 6 a total of 8 times.

Adding these values we will get 10 + 8 = 18

Then the experimental probability of a number greater than 4 is:

E = 18/60

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In this case, we must analyze the question to find the solution.

Step 01:

equation one variable vs system of equations two variables = ?

Step 02:

In an equation with one variable, we must only apply the algebraic rules to find its value.

For systems of equations, we have different methods to solve them.

And it is possible to write the equations as a function of one variable, and then substitute in the other equation and thus find the solution.

Therefore, it is comparable to solving one variable equation.

That is the answer.

An individual's BMR decreases approximately 3 to 5 percent per decade on an average after the age of option C. 30.

Therefore, on an average individuals BMR is approximately decreases by round about 3 to 5 percent per decade after the age of option c. 30.

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Answer:

true for all x

Step-by-step explanation:

|2x-8|+4>-3

Subtract 4 from each side

|2x-8|+4-4>-3-4

|2x-8|>-7

An absolute value is always positive so this is true for all x

For measurable subset A ⊆ R, a ∈ (0,1), p, q, r ≥ 1 (p, q ≥ r), the inequality \((1-a)^r\) ||f||r ≤ ||f||p-q * r/(1-a) holds for any measurable function f on N.

To prove the inequality 1-a ≤ ||f||p ||f||q, we'll first show that p and q are conjugate exponents, and then use Hölder's inequality.

Showing p and q are conjugate exponents:

Given p, q, and r ≥ 1, where p, q ≥ r, we need to show that 1/p + 1/q = 1/r.

Since 1/p + 1/q = (p+q)/(pq), and 1/r = 1/(pq), we want to prove (p+q)/(pq) = 1/(pq).

Multiplying both sides by pq, we get p+q = 1, which is true since a ∈ (0, 1).

Applying Hölder's inequality:

For any measurable function f on N, we can use Hölder's inequality with exponents p, q, and r (where p, q ≥ r) as follows:

||f||p ||f||q ≥ ||f||r

Using the given inequality 1-a ≤ ||f||p ||f||q, we have

1-a ≤ ||f||p ||f||q

Dividing both sides by ||f||r, we get:

(1-a) ||f||r ≤ ||f||p ||f||q / ||f||r

Simplifying the right side, we have:

(1-a) ||f||r ≤ ||f||p-q

Finally, since r ≥ 1, we can raise both sides to the power of r/(1-a) to obtain

[(1-a) ||f||r\(]^{r/(1-a)}\) ≤ [||f||p-q\(]^{r/(1-a)}\)

This simplifies to

\((1-a)^{r/(1-a)}\) ||f||r ≤ ||f||p-q * r/(1-a)

Notice that \((1-a)^{r/(1-a)}\) = \((1-a)^r\), which gives

\((1-a)^r\) ||f||r ≤ ||f||p-q * r/(1-a)

This completes the proof.

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The volume of the solid that results from rotating the region bounded by the graphs of y = 19x − 2, x = 0, and y = 0 about the y-axis is 41600π/57 units cubed.

Given that we have to find the volume of the solid that results from rotating the region bounded by the graphs of y = 19x − 2, x = 0, and y = 0 about the y-axis. In order to solve the given problem, let us plot the given functions on a graph:

It is given that the region is bounded by the graphs of y = 19x − 2, x = 0, and y = 0.Now, we rotate the region bounded by the graphs about the y-axis.Thus, the solid generated is in the form of a cylindrical shell of radius y and thickness dx.

Hence, the volume of this solid is given as:∫V=∫(2π)(y)(h)dyFor the given problem, h is given as x and the limits of the integral are 0 to 19.∴ ∫V=∫(2π)(y)(x)dy..........(1)

We know that the equation of the line is y = 19x − 2.

Thus, x can be written in terms of y as:x = (y + 2)/19∴ ∫V=∫(2π)(y)(x)dy=2π∫(y)((y+2)/19)dy

∴ ∫V=2π∫(y^2/19)+(2y/19)dy=2π[((y^3)/(3 × 19))+((y^2)/(2 × 19))]20∴ ∫V=2π[(20^3)/(3 × 19)]+[(20^2)/(2 × 19)]∴ ∫V=2π[20800/57]∴ ∫V=41600π/57

Therefore, The volume of the solid that results from rotating the region bounded by the graphs of y = 19x − 2, x = 0, and y = 0 about the y-axis is 41600π/57 units cubed.

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Given:

The figure of two semicircles with diameters 6 cm and 5 cm.

To find:

The area of the combined figure.

Solution:

It is given that the diameters of the semicircles are 6 cm and 5 cm so their radii are 3 cm and 2.5 cm respectively.

Area of a semicircle is:

\(A=\dfrac{1}{2}\pi r^2\)

So, the combined area of two semicircles with radii 3 cm and 2.5 cm is:

\(Area=\dfrac{1}{2}\pi (3)^2+\dfrac{1}{2}\pi (2.5)^2\)

\(Area=\dfrac{1}{2}\pi (9)+\dfrac{1}{2}\pi (6.25)\)

\(Area=14.137167+9.817477\)

\(Area=23.954644\)

Round the value to the nearest tenth (one decimal place.

\(Area\approx 24.0\)

Therefore, the area of given figure is 24.0 sq. cm.

Answer:

The number of distinct segments that can be formed by n collinear points can be found by applying the formula for the sum of the first n natural numbers:

Number of segments = n(n-1)/2

This formula can be derived by considering that each pair of points (excluding pairs of identical points) determines a distinct line segment, and there are n(n-1) such pairs. However, each line segment is counted twice (once for each endpoint), so we need to divide by 2 to get the final answer.

Step-by-step explanation:

Answer: The number of distinct segments that can be formed by n collinear points can be found by applying the formula for the sum of the first n natural numbers:

Number of segments = n(n-1)/2

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The measure of missing angle is 65°.

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

From the given triangle 68°, 47° and the missing angle is x.

By angle sum property of triangle, we get

68°+47°+x=180°

115°+x=180°

x=65°

Therefore, the measure of missing angle is 65°.

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The solution of the division of the fraction is expressed as; -⁴/₁₅

When dividing fractions, what will carry out first is to turn it into multiplication. Thereafter, we will make use of the multiplicative inverse (reciprocal) to multiply.

We have the expression as;

-¹/₃ ÷ ⁵/₄

By the method described above, we can say that the solution is;

-¹/₃ × ⁴/₅

= -⁴/₁₅

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Answer:

A

Step-by-step explanation:

when dilating by a scale factor of 6, you are starting at the origin and just making it larger by a factor of 6, so you multiply the coordinates by 6 and get A

Answer:

$60

Step-by-step explanation:

180/3 = 60

I hope this helps :)

Answer:60 per hour

Step-by-step explanation: you divide 180 by 3

Answer:

12 is thy number lol

Step-by-step explanation:

1/2x + 3 = 5 - 2/3x  

Subtract the 1/2x

You get 3 = 5 - 1/6x

Subtract the five.

-2 = -1/6x

Multiply by -6

x = 12

The number who's one-half increased by 3 is five less than two-thirds of itself is 48.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Let the unknown number be represented by x.

Given the statement that "One half of a number increased by 3 is five less than two-thirds of the number". Therefore, the statement as an expression can be written as,

(1/2)x + 3 = (2/3)x - 5

Solving the equation for x,

3 + 5 = (2/3)x - (1/2)x

8 = (4/6)x - (3/6)x

8 = (1/6)x

x = 8 × 6

x = 48

Hence, the number who's one-half increased by 3 is five less than two-thirds of itself is 48.

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The standard error for the given data set of variety of snacks is 2.628.

For the stated data set:

x = 9, 13, 21, 30, 31, 31, 34, 25, 28, 20

Standard of Error:

S.E = s / √n

Mean average;

Mean x' = ∑x / n =  ( 9 + 13 + 21 + 30 + 31 + 31 + 34 + 25 + 28 + 20 ) / 10

x' = 242 / 10

x' = 24.2

Standard deviation s:

x             (x-x')²

9           231.04

13          125.44

21          10.24

30         33.64

31         46.24

31         46.24

34        96.04

25        0.64

28        14.44

20        17.64

Total ∑(x-x')² = 621.6

Thus,

Variance = ∑(x-x')² / (n-1) = 621.6 / ( 10 - 1 )  

               = 621.6 / 9

Variance = 69.0667

Standard deviation S = √Variance

                                  = √69.0667

Standard deviation S = 8.3106

Then, standard of error;

S.E = 8.3106 / √10

S.E = 2.628

Thus, the standard error of given data set of variety of snacks is 2.628.

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9t + 4t can be simplified by combining the like terms (terms with the same variable and exponent). The coefficients of the two terms (9 and 4) are added to get the coefficient of the simplified term:

9t + 4t = (9 + 4)t = 13t

Therefore, the expression that is equivalent to 9t + 4t is 13t.

Answer:

As per the question, Peter can finish twice as much work as finished by Tom in a given duration of time. of their one day work will be completed by Tom. So, Tom will take 48 days to complete the task

Step-by-step explanation:

Let Tom alone take 2x days

Peter alone will take x days

Together in 1 day they do 1/x + 1/2x = 1/16

3/2x = 1/16

2x = 48

ANSWER Tom takes 48 days and Peter takes 24 days

CHECK

1/48+1/24 = 3/48= 1/16

The 90% confidence interval for the average number of hours of sleep for working college students is between 6.15 and 6.85 hours.

Therefore, the answer is option (a) 6.15 and 6.85 hours.

A confidence interval is a statistical range of values within which we can be reasonably confident that the true value of a population parameter lies. It is commonly used in inferential statistics to estimate an unknown population parameter, such as a mean or a proportion, based on a sample from that population.

To calculate the 90% confidence interval for the average number of hours of sleep for working college students, we'll use the formula:

Confidence Interval = Sample Mean ± (Critical Value x Standard Error)

Where:

Sample Mean: 6.5 hours (the average number of hours of sleep)

Critical Value: t-value corresponding to a 90% confidence level with 100 degrees of freedom (101 students - 1)

Standard Error: Standard Deviation / Square Root of Sample Size

Let's plug in the values and calculate the confidence interval:

Standard Error = 2.14 / √101 ≈ 0.2139

Confidence Interval = 6.5 ± (1.660 x 0.2139)

Confidence Interval = 6.5 ± 0.3546

Lower Bound = 6.5 - 0.3546 ≈ 6.1454

Upper Bound = 6.5 + 0.3546 ≈ 6.8546

Rounding to the hundredths place, the 90% confidence interval for the average number of hours of sleep for working college students is between 6.15 and 6.85 hours.

Therefore, the answer is option (a) 6.15 and 6.85 hours.

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Answer: 10(7c - 8d)

Step-by-step explanation:

70c - 80d

= (10 × 7c) - (10 × 8d)

= 10(7c -8d)

The correct option is A. m ≤ (8)(20)

The inequality which gives the possible values of 'm' is m ≤ (8)(20).

A declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.

An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

According to the question;

Terrence's car contains 8 gallons of fuel.

Terrence can drive the car 'm' miles using the fuel currently in the car.

The car can drive 20 miles per gallon of fuel,(which is maximum fuel capacity of the car to drive).

Then,

The total miles 'm' covered by the car is 8×20 which is maximum capacity of the car to travel.

Thus, total miles covered by the car are less than the maximum value which is given by the inequality-

m ≤ (8)(20)

Therefore, the inequality which gives the possible values of 'm' is m ≤ (8)(20).

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The complete question is-

Terrence's car contains 8 gallons of fuel. He plans to drive the car 'm' miles using the fuel currently in the car. If the car can drive 20 miles per gallon of fuel, which inequality gives the possible values of 'm'?

answer choices

A. m ≤ (8)(20)

B. m ≥ (8)(20)

C. 8 ≤ 20m

D. 8 ≥ 20 m

Answer:

-6 and -10

Step-by-step explanation:

First find two numbers that multiply to 60 and add up to 16

these numbers are 6 and 10

then write the numbers in factored form: (x+6) (x+10)

Then set each one equal to zero and solve to find the zeros of the function

x+6=0 --> x=-6

x+10=0 --> x=-10

the zeros of the function are -6 and -10

Hope this helps!