Patulong sa math
Help me with my math

Answer:

1) 1 * 10^5    2) 3.5 * 10^3

Step-by-step explanation:

To find the probabilities, we will use the conditional probability formula:

P(A ∩ B) = 0.66 * 0.51

= 0.3366.

P(A' ∩ B) = P(A') * P(B | A')

= 0.34 * 0.27

= 0.0918.

P(B) = 0.3366 + 0.0918

= 0.4284.

P(A | B) = P(A ∩ B) / P(B). P(A | B)

= 0.7851.

1. P(A ∩ B): We need to find the probability of events A and B occurring together. Since we are given P(A) and P(B | A), we can calculate P(A ∩ B) using the formula P(A ∩ B) = P(A) * P(B | A).
  P(A ∩ B) = 0.66 * 0.51 = 0.3366.

2. P(A' ∩ B): We need to find the probability of event A' (not A) and B occurring together. Since we are given P(B | A') and P(A'), we can calculate P(A' ∩ B) using the formula P(A' ∩ B) = P(A') * P(B | A').
  To find P(A'), we subtract P(A) from 1: P(A') = 1 - P(A) = 1 - 0.66 = 0.34.
  P(A' ∩ B) = P(A') * P(B | A') = 0.34 * 0.27 = 0.0918.

3. P(B): We need to find the probability of event B occurring. We can use the Law of Total Probability: P(B) = P(A ∩ B) + P(A' ∩ B).
  P(B) = 0.3366 + 0.0918 = 0.4284.

4. P(A | B): We need to find the probability of event A occurring given that B has occurred. Using the conditional probability formula, P(A | B) = P(A ∩ B) / P(B).
  P(A | B) = 0.3366 / 0.4284 = 0.7851.

To summarize:
- P(A ∩ B) = 0.3366
- P(A' ∩ B) = 0.0918
- P(B) = 0.4284
- P(A | B) = 0.7851.

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The probabilities are as follows, P(B) = 0.5032 and P(A | B) = 0.6686. To find the requested probabilities, we can use the conditional probability formula: P(A | B) = P(A and B) / P(B)

Let's calculate each probability step by step:
1. P(B and A): This represents the probability of both events B and A happening simultaneously. Since P(B | A) = 0.51, we can use this value along with P(A) = 0.66 to calculate P(B and A):
P(B and A) = P(B | A) * P(A) = 0.51 * 0.66 = 0.3366
2. P(B and A complement): This represents the probability of event B happening while A does not happen. We can use P(B | A complement) = 1 - P(B | A) = 1 - 0.51 = 0.49 to calculate P(B and A complement):
P(B and A complement) = P(B | A complement) * (1 - P(A)) = 0.49 * (1 - 0.66) = 0.1666
3. P(B): This represents the probability of event B happening. We can calculate this using the law of total probability:
P(B) = P(B and A) + P(B and A complement) = 0.3366 + 0.1666 = 0.5032
4. P(A complement): This represents the probability of event A not happening. We can calculate this by subtracting P(A) from 1:
P(A complement) = 1 - P(A) = 1 - 0.66 = 0.34
5. P(B | A complement): This represents the probability of event B happening given that event A does not happen. We are given that P(B | A complement) = 0.27, so no further calculation is needed.
Now, we can find the remaining probability:
6. P(A | B): This represents the probability of event A happening given that event B happens. We can calculate this using the conditional probability formula:
P(A | B) = P(A and B) / P(B) = 0.3366 / 0.5032 = 0.6686

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Answer: The answer is 6x–9, please mark me as brainliest and have a wonderful weekend. :D

Step-by-step explanation:

The correct option for showing the interval (-∞, -7) is Option C.

What is Interval?

An interval includes all the numbers that come between two particular numbers.

The given interval is (-∞, -7).

Now, On the number line (-∞, -7) is shown as;

The interval is open interval.

Hence, At point -7 the graph is in open circle.

And, The graph is going left side.

Hence, The correct option for showing the interval (-∞, -7) is Option C.

Which is shown in figure.

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The required 1st term and third term in the given expressions are   -3x and  -12pqr

Expressions are mathematical equations separated by signs.

For instance, a + b + c is an expression having three terms

First-term is a

Second term is "b"

Third term is "c"

Given the expression -3x + 7, we are to identify the first term. Based on the explanation above, the first term will  be  - 3x

For the expression 9pq - 3pr - 12pqr​, the third term from this equation will be -12pqr

Hence the required 1st term and third term in the given expressions are   -3x and  -12pqr

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Answer: your so bad

Step-by-step explanation:

hahahaahahahahahhahahahahahahaha

Answer:

A. Yes

B. yes

C. Yes

D. No

E. Yes

Step-by-step explanation:

Good luck!

The polynomial function is f(x) = (x - 3)((x - 2)² + 9)

From the question, we have the following parameters that can be used in our computation:

Zeros: x=3, 2 +-3i

The polynomial can be repesented as

f(x) = product of (x - zeros)

using the above as a guide, we have the following:

f(x) = (x - 3)(x - (2 - 3i))(x - (2 + 3i))

This can be expressed as

f(x) = (x - 3)((x - 2)² + 9)

hence, the polynomial is f(x) = (x - 3)((x - 2)² + 9)

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Answer:

I might be wrong but I think the answered would be 14

Step-by-step explanation:

5+5=10+3=13+1=14

Logan's monthly bank statement showed the following deposits

and withdrawals:

$31.34, $117.42, -$52.48, -$102.33, $64.90

If Logan's balance in the account was $82.63 at the

beginning of the month, what was the account balance at

the end of the month

Answer:

141.48

Step-by-step explanation:

Find the total net change:

Find the total net change:

31.34

+

117.42

+

(

−

52.48

)

+

(

−

102.33

)

+

64.9

31.34+117.42+(−52.48)+(−102.33)+64.9

=

58.85

=58.85

Add total net change to the initial value:

Add total net change to the initial value:

82.63

+

58.85

=

82.63+58.85=

141.48

141.48

The account balance was $141.48 at the end of the month.

The account balance was $141.48 at the end of the month.

Answer:

i may be wrong but i thinks its A

Step-by-step explanation:

Answer:

-2=x

Step-by-step explanation:

-17=x-15

Add 15 on both sides

-2=x

Answer:

45 min

Step-by-step explanation:

look on z-score table for the value .900

closest on my table is z-score + 1.28

   this is 1.28 S.D. above the mean

          36 + 1.28 * 7 = ~ 45 min

Answer:

Length of the garden = 10 ft

Step-by-step explanation:

Perimeter of a garden = 2(length + width)

Perimeter of the garden = 32 ft

Width of the garden = 6 ft

Length of the garden = x ft

Perimeter of a garden = 2(length + width)

32 = 2 ( x + 6 )

Open parenthesis

32 = 2x + 12

Subtract 12 from both sides

32 - 12 = 2x + 12 - 12

20 = 2x

Divide both sides by 2

20 / 2 = 2x / 2

10 = x

x = 10 ft

Therefore, length of the garden = x = 10 ft

Three different whole numbers whose sum and product are equal are 1, 2, and 3.

1 + 2 + 3 = 6

1 x 2 x 3 = 6

As demonstrated above, the sum and product of 1, 2, and 3 is the same.

Hope this helps!! :)

Answer:

1 2 and 3

Step-by-step explanation:

Option b is correct.

The null hypothesis in the chi-square test of hypothesis states that the two categorical variables under consideration are independent of each other, meaning that there is no relationship or association between them.

In the chi-square test of hypothesis, the null hypothesis states that the variables under consideration are independent. That is, there is no relationship between the two variables being studied.

The chi-square test is a statistical method used to determine if two categorical variables are associated or independent. Categorical variables are those that take on values that are categories or labels.

For example, gender (male or female) or educational level (high school, college, graduate school) are categorical variables.

The chi-square test determines the expected frequency of each category based on the null hypothesis, which assumes independence between the two variables.

The observed frequency is then compared to the expected frequency, and if the difference is significant enough, it suggests that the null hypothesis should be rejected, and the two variables are considered to be associated or dependent.

Therefore, in summary, the null hypothesis in the chi-square test of hypothesis states that the two categorical variables under consideration are independent of each other, meaning that there is no relationship or association between them.

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Answer:

x=4

length=13

width=-1

Step-by-step explanation:

Answer:

what was your old answer?

Step-by-step explanation:

so I could solve this

Answer:

check it..

Step-by-step explanation:

domain and range...

Answer:

You use 2 cups of blue paint.

Step-by-step explanation:

In this case, you can use a rule of three to find the amount of blue paint you need when you use 4 cups of yellow paint given that you mix 1/3 cups of blue paint for every 2/3 cup of yellow paint:

2/3 cup of yellow paint    →    1/3 cups of blue paint

4 cups of yellow paint    →                 x

x=(4*1/3)÷2/3

x=4/3÷2/3

x=4*3/3*2

x=12/6

x=2

According to this, the answer is that you use 2 cups of blue paint.

Answer:

A triangle that has three acute angels is called an acute triangle.

Step-by-step explanation:

An explicit formula for the geometric sequence is aₙ = (-3)ⁿ⁻¹.

The eighteenth term is -129,140,163.

In Mathematics, the nth term of a geometric sequence can be calculated by using this mathematical expression:

aₙ = a₁rⁿ⁻¹

Where:

Note: The nth term of a geometric sequence is equal to the explicit formula for the geometric sequence.

Next, we would determine the common ratio as follows;

Common ratio, r = a₂/a₁

Common ratio, r = -3/1

Common ratio, r = -3.

Now, we can calculate the nth term (explicit formula) of this geometric sequence as follows:

aₙ = a₁rⁿ⁻¹

aₙ = 1(-3)ⁿ⁻¹

aₙ = (-3)ⁿ⁻¹

a₁₈ = (-3)¹⁸⁻¹

a₁₈ = (-3)¹⁷

a₁₈ = -129,140,163.

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The water pipe sometimes bursts in winter because of the flowing water getting transformed into freezing water due to drop in temperature and the volume increases creating more pressure on the wall pipes.

Bursting of Water Pipes During a Very Cold Winter

The straightforward explanation is that during very cold winters, as water freezes into ice, it expands, causing solid ice to fill a larger volume than the liquid that was previously flowing through the pipes.

As we know that, the pressure P increases with increase in volume, V, the increased volume of frozen water leads to increase in the pressure inside the pipe.

The pressure that the ice builds up inside the pipes could rupture the pipe walls.

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Answer:

Step-by-step explanation:

There is one value 9 which is a lot less than the rest of the values.

I would the median is the best.

The sum of the first four terms of the sequence is 22.

In this question,

The formula of sum of linear sequence is

\(S_n =\frac{n}{2}(2a+(n-1)d)\)

The sum of the first ten terms of a linear sequence is 145

⇒ \(S_{10} =\frac{10}{2}(2a+(10-1)d)\)

⇒ 145 = 5 (2a+9d)

⇒ \(\frac{145}{5} =2a+9d\)

⇒ 29 = 2a + 9d  ------- (1)

The sum of the next ten term is 445, so the sum of first twenty terms is

⇒ 145 + 445

⇒ \(S_{20} =\frac{20}{2}(2a+(20-1)d)\)

⇒ 590 = 10 (2a + 19d)

⇒ \(\frac{590}{10}=2a+19d\)

⇒ 59 = 2a + 19d -------- (2)

Now subtract (2) from (1),

⇒ 30 = 10d

⇒ d = \(\frac{30}{10}\)

⇒ d = 3

Substitute d in (1), we get

⇒ 29 = 2a + 9(3)

⇒ 29 = 2a + 27

⇒ 29 - 27 = 2a

⇒ 2 = 2a

⇒ a = \(\frac{2}{2}\)

⇒ a = 1

Thus, sum of first four terms is

⇒ \(S_4 =\frac{4}{2}(2(1)+(4-1)(3))\)

⇒ \(S_4 =2(2+(3)(3))\)

⇒ S₄ = 2(2+9)

⇒ S₄ = 2(11)

⇒ S₄ = 22.

Hence we can conclude that the sum of the first four terms of the sequence is 22.

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In San Antonio, Texas it rain more in a year, on average when compared to Austin, Texas according to the mean of both cities.

Data of Austin, Texas is as follows:

36.00, 21.41, 52.27, 22.33, 34.70, 46.95, 16.07, 31.38, 37.76 and 19.68.

Number of values ( n ) = 10

Sum of the values = 318.23

Average of the rainfall in Austin, Texas is equal to:

Mean = Total sum / No. of Values

Mean = 318.23 / 10

Mean = 31.82 in

Data of San Antonio, Texas is as follows:

46.27, 28.45, 45.32, 16.54, 21.34, 47.25, 13.76, 30.69, 37.39 and 17.59.

Number of values ( n ) = 10

Sum of the values = 304.6

Average of the rainfall in San Antonio, Texas is equal to:

Mean = Total sum / No. of Values

Mean = 304.6 / 10

Mean = 30.46 in

So, comparatively the average of San Antonio is higher.

Therefore in San Antonio, Texas it rain more in a year, on average when compared to Austin, Texas.

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Answer:  A, C

Step-by-step explanation: they both = 6a+12