Let P(A)=47 and P(B|A)=38. What is the probability of events A and B occurring? Enter your answer in the box as a fraction in simplest form.

Answer:

240 pens

Step-by-step explanation:

36*4=144

144/3=48

48=1/5 of pens

48*5=240

Answer: 8\(\sqrt{2}\)

Step-by-step explanation:

8^2 + 8^2 = c^2

64 + 64 = c^2

128=c^2

\(\sqrt{128}\)  

\(\sqrt{4 * 32}\)  

2\(\sqrt{4 * 8 }\)

2* 2 \(\sqrt{4 * 2}\)

4 * 2\(\sqrt{2}\)

8 \(\sqrt{2}\)

Answer:

17.5 seconds

Step-by-step explanation:

140 cm/35 sec (find unit rate)

4 cm/ 1 second

\(\frac{4}{1} = \frac{70}{x}\) (divide 70 by 4)

70/4=17.5

\(\frac{4}{1} = \frac{70}{17.5}\)

The probability that a randomly selected member of Congress who favours corporate tax reform is a Democrat is 0.4444, rounded to four decimal places.

To solve this problem, we can use Bayes' theorem. Let D represent the event that the selected member is a Democrat, and R represent the event that the selected member is a Republican, and I represent the event that the selected member is an Independent. Let F represent the event that the selected member favors some type of corporate tax reform. We are given the following probabilities:

P(R) = 0.28, P(D) = 0.50, P(I) = 0.22

P(F|R) = 0.34, P(F|D) = 0.35, P(F|I) = 0.31

We want to find P(D|F), the probability that the selected member is a Democrat given that they favor corporate tax reform. We can use Bayes' theorem:

P(D|F) = P(F|D)P(D) / [P(F|D)P(D) + P(F|R)P(R) + P(F|I)P(I)]

Plugging in the values we know, we get:

P(D|F) = 0.35 * 0.50 / [0.35 * 0.50 + 0.34 * 0.28 + 0.31 * 0.22]

P(D|F) = 0.4444 (rounded to four decimal places)

Therefore, the probability that the selected member is a Democrat given that they favour corporate tax reform is 0.4444.

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The Boolean expression that is not equivalent to the given expression "num * -1 ≥ 10" is option D: "NOT num * -1 < 10."

What is Boolean expression?

A Boolean expression is an expression or equation that evaluates to true or false. It includes the use of logical operators such as AND, OR, and NOT, as well as comparison operators such as equal to (=), greater than (>), less than (<), and more.

The Boolean expression that is not equivalent to the expression "num * -1 ≥ 10" is option D: "NOT num * -1 < 10."

Let's break down each option and evaluate its equivalence to the given expression:

A. (num < 0) AND (num * -1 = 10)

This expression checks if "num" is negative and if the absolute value of "num" is equal to 10. It does not directly represent the condition "num * -1 ≥ 10," so it is not equivalent.

B. (num < -10) OR (num = -10)

This expression checks if "num" is less than -10 or if "num" is exactly equal to -10. It also does not directly represent the condition "num * -1 ≥ 10," so it is not equivalent.

C. (num * -1 > 10) OR (num = -10)

This expression checks if the negative value of "num" is greater than 10 or if "num" is exactly equal to -10. Although it involves the negative value of "num," it represents the condition "num * -1 > 10" when "num" is positive. Therefore, it is equivalent to the given expression.

D. NOT num * -1 < 10

This expression checks if the negative value of "num" is not less than 10. While it involves the negative value of "num," it does not directly represent the condition "num * -1 ≥ 10." Additionally, the use of "NOT" operator flips the condition, which makes it different from the original expression. Hence, it is not equivalent.

Therefore, the Boolean expression that is not equivalent to the given expression "num * -1 ≥ 10" is option D: "NOT num * -1 < 10."

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Answer:

1. The first step is to  add 1.72  on both sides.

2. The second step is to  multiply by 4/3  on both sides.

3. The solution is x =  -6.8

Step-by-step explanation:

EDGE 2020

The value of x in the the two-step equation is -6.80.

In order to determine the value of x, take the following steps:

The first step is to combine similar terms together:

3/4x = -6.821 + 1.72

Add similar terms

3/4x = -5.101

Divide both sides of the equation by 4/3

x = -6.80

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Answer:  + or - 8

Step-by-step explanation:

A.  x^2 could be represented by the area of a square.  Length and width are the same, so the area would be x^2.  The answer is clearly wrong, since a square with sides of 32 would create a much larger area than 64.

B.  x^2 = 64

  What number times itself equals 64? =  8

This could be either positive or negative, since (-8)^2 is also equal to 64.

We find 6 possible 2-digit numbers "ab" that satisfy the conditions: 14, 19, 26, 37, 58, and 69.

To find the number of 2-digit numbers "ab" such that "ab" "ba" is a perfect square and a < b, follow these steps:

1. Iterate through all possible 2-digit numbers "ab" with a < b (e.g., a = 1, b = 2, a = 1, b = 3, etc.).
2. For each "ab", form the 4-digit number "ab" "ba".
3. Check if the 4-digit number is a perfect square (i.e., its square root is an integer).
4. Count the number of "ab" that satisfy the condition.

After performing these steps, we find 6 possible 2-digit numbers "ab" that satisfy the conditions: 14, 19, 26, 37, 58, and 69.

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Answer:

the 3rd one

Step-by-step explanation:

If you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality sign.

A statement that upholds the equality of two mathematical expressions is known as an equation. An identity is a statement that is true regardless of the value of each variable. A conditional equation is one that only holds true for certain values of one or more variables.

On the other hand, an inequality is a claim that indicates that one quantity has a greater or lesser value than another using the symbols > for greater than or for lesser than. An inequality has values for every variable, much like an identity. It concentrates on two-variable inequalities with a single exponent.

If both sides of an inequality are multiplied or divided by a negative value, the inequality sign must be reversed. This is due to the fact that adding or subtracting a negative integer causes the numbers on the number line to appear in reverse order.

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Answer:

c)   (0,6) and (-5,-9)

Step-by-step explanation:

if you graph the system you will get a line and a parabola

the two points at which they intersect will be (0,6) and (-5,-9)

Answer:

15

Step-by-step explanation:

if your multiplying it i think you are?

a neg. by a neg. is a positive

Answer:

r=44

Step-by-step explanation:

y=22 feet

sin 30= y/r

r=y/sin30

r=22/sin30

r=44 feet

To find the probability of getting a sum of eight when two dice are rolled, we need to determine the number of favorable outcomes (sum of eight) and the total number of possible outcomes.

When rolling two dice, the possible outcomes for each die range from 1 to 6. To get a sum of eight, we can have the following combinations:
- (2, 6)
- (3, 5)
- (4, 4)
- (5, 3)
- (6, 2)

This gives us a total of 5 favorable outcomes.

The total number of possible outcomes when rolling two dice is 6 multiplied by 6, which equals 36.

Therefore, the probability of getting a sum of eight is given by the fraction: favorable outcomes / total outcomes = 5 / 36.

Converting this fraction to a decimal, we get approximately 0.1389 (rounded to four decimal places).

So, the probability of getting a sum of eight when two dice are rolled is approximately 0.1389.

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The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x. The cab charges $0.88 for a ride of 2 miles. And the cab charges $1.72 for a trip of 8 miles.

a. The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x

b. To find the number of miles for a cab ride that costs $0.88, we can set up the equation:

$0.88 = $0.60 + $0.14 * x

Subtracting $0.60 from both sides, we get:

$0.88 - $0.60 = $0.14 * x

$0.28 = $0.14 * x

Dividing both sides by $0.14, we find:

x = $0.28 / $0.14

x = 2 miles

Therefore, the cab charges $0.88 for a ride of 2 miles.

c. To calculate the cost of a trip of 8 miles, we can substitute x = 8 into the equation:

Cost = $0.60 + $0.14 * 8

Cost = $0.60 + $1.12

Cost = $1.72

Therefore, the cab charges $1.72 for a trip of 8 miles.

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Given :

The original price of the candy = $10

Answer: All options are correct (assuming that option A is in the form of Y=5). Typing error in the question. But I will clear your concepts on that.

Step-by-step explanation:

Equation of the form (y = c) are the horizontal lines that are passing through the y-intercept 'c' or cutting/passing through the  y-axis at 'c'.

All equations in the option are of the form y = c

option A , (y=5)

option B , (y=1)

option C , (y=1)

option D, (y=5)

All are parallel to X-axis.

For an equation to be parallel to y-axis should have the form x = a (Vertical line passing through x-intercept 'a')

#Muhib

Answer:

m<A = 90° - m<B

(AB)^2 = (AC)^2 + (BC)^2

sin A = cos B

if <A = <B, then m<A = 45°

Answer:

Step-by-step explanation:

∠A+∠B=90 complementary angles ( the sum equal 90°)

∠A=90 degrees-∠B

tan A=sinA/cos A

AB²= AC² +BC² (Pythagorean theorem)

if angle A=angle B then the angles are 45 degrees

cos A=sin(90-A)  

sin (a - b) = sin a.cos b - sin b.cos a

sin(90-A)=sin90.cosA-sinbAcos90 cos 90=0 and sin 90=1

sin(90-A)=1*cosA

sin(90-A)=cosA

the ones are  in bold are right

Answer:

In short, Your Answer would be either 1 or 7

Step-by-step explanation:

|4x + 12| = 16

As it is in modulus function, it could be either +ve or -ve

4x+12 = 16   OR   4x - 12 = 16

4x = 16-12    OR   4x = 16 + 12

4x = 4           OR   4x = 28

x = 4/4     OR  x = 28/4

Answer:

5

Step-by-step explanation:

28 - 12 = 16

28 / 35 = 16 / 4x

28 = 4 * 7

35 = 5 * 7

16 = 4 * 4

4x = 4 * x

( 4 * 7 ) / ( 5 * 7 ) = ( 4 * 4 ) / ( 4 * x )

( 4 / 5 ) = ( 4 / x )

Cross multiply,

4 * x = 5 * 4

Divide 4 on both sides,

x = 5

The value οf each expressiοn a. 16.2 + (-8.4) = 7.8

An expressiοn in math is a sentence with a minimum οf twο numbers οr variables and at least οne math οperatiοn. This math οperatiοn can be additiοn, subtractiοn, multiplicatiοn, οr divisiοn.

The difference between expressiοns and equatiοns is that an expressiοn is made up οf a cοmbinatiοn οf numbers and variables and οperatiοn symbοls, whereas an equatiοn is that twο different expressiοns are cοnnected tο each οther by an equals sign in between. This indicates that each side οf the expressiοn is οf the same value.

b. |-10| + 5 * 5 = 10 + 25 = 35

c. -9.2 + (-7) = -16.2

d. (-4) - (-1) = -4 + 1 = -3

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Answer:

$12.55

Step-by-step explanation:

20-7.45=12.55

The following eight symmetries represent all possible transformations that preserve the square's shape and size. Each symmetry corresponds to a unique way of manipulating the square while maintaining its original configuration.

The eight symmetries of the square with vertices at (-1,-1), (-1, 1), (1, 1), and (1, -1) are as follows:

1.Identity (E): No transformation, the square remains unchanged.

2.90-degree rotation clockwise (R90): The square is rotated 90 degrees in a clockwise direction.

3.180-degree rotation clockwise (R180): The square is rotated 180 degrees in a clockwise direction.

4.270-degree rotation clockwise (R270): The square is rotated 270 degrees in a clockwise direction.

5.Reflection about the x-axis (F1): The square is reflected across the x-axis.

6.Reflection about the y-axis (F2): The square is reflected across the y-axis.

7.Reflection about the line y = x (F3): The square is reflected across the line y = x.

8.Reflection about the line y = -x (F4): The square is reflected across the line y = -x.

The line segment AB, defined by two distinct points A and B, has only two distinct symmetries. The first symmetry is the identity transformation (E), where the line segment remains unchanged. The second symmetry is the reflection across the perpendicular bisector of AB. This reflection swaps the positions of points A and B, while preserving the length and direction of the line segment. Therefore, there are two distinct symmetries for the line segment AB: the identity transformation and the reflection across its perpendicular bisector.

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Considering the differences in the budgeted and used amoints, it is found that the correct option is given by:

A. No it’s short $207.00.

Hence, the difference between the budgeted amount and the used amount is given by:

20 - (150 + 75 + 2) = -207.

The budget was $207 short, hence option A is correct.

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The nonnegative integers for which P(n) is true are n = 0, n = 2, and n = 4.

In this multiple-choice question, the notation Π represents the product operator, and the statement P(n) is defined as n!. The question asks for which nonnegative integers n is P(n) true. For n = 0, the value of n! is 0! = 1, so P(0) is true. Therefore, the option n = 0 is incorrect.

For n = 1, the value of n! is 1! = 1, so P(1) is true. Therefore, the option n = 1 is incorrect. For n = 2, the value of n! is 2! = 2, so P(2) is true. Therefore, the option n = 2 is correct. For n = 4, the value of n! is 4! = 24, so P(4) is true. Therefore, the option n = 4 is correct.

The options n > 4 and n = 2,724 are not valid since they are not among the provided choices.

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Answer:

To find Rs(1,0) and Rt(1,0), we need to use the chain rule of partial differentiation.

Rs(1,0) can be found by computing the partial derivative of R with respect to s, while holding t constant and then evaluating the result at (1,0). Similarly, Rt(1,0) can be found by computing the partial derivative of R with respect to t, while holding s constant and then evaluating the result at (1,0).

Using the chain rule, we have:

Rs = Fu * us + Fv * vs

Rt = Fu * ut + Fv * vt

We are given the values of u, v, us, ut, vs, vt, Fu, and Fv at the point (1,0) and the values of u and v at the point (2,3). We can use these values to compute Rs(1,0) and Rt(1,0) as follows:

Rs(1,0) = Fu(2,3) * us(1,0) + Fv(2,3) * vs(1,0)

= (-1) * (-2) + (10) * (5)

= 52

Rt(1,0) = Fu(2,3) * ut(1,0) + Fv(2,3) * vt(1,0)

= (-1) * (6) + (10) * (4)

= 34

Therefore, Rs(1,0) = 52 and Rt(1,0) = 34

Answer: 20

Step-by-step explanation:

.25(80)=20

Answer:

the answer is gonna be 20

Answer:

For this question, you would have to subtract

1.679-1.439 = 0.24   Melvin pays 0.24 cents less. (not that much honestly lol!!)

Check the picture below.

well, the red one is one, now the green one is another and yet if we tiptoe over the circle made by KL we'll always get a right-triangle as you see in the dashed lines, how many? well infinite many.