Based on the definition of independence, which THREE statements are correct?
P(A) ,
A)
1
1
and B)
12
Events A and B are independent.
12
35
Events A and B are independent.
P(A) = 4, P(B) = , P(A and B) =
B)
1
1
P(A)
A B
10
Events A and B are independent.
P(A) = , P(B) = , P(A and B) =
7.
12
D)
Events A and B are dependent.
PLA) = }, PB) - to, P(A and B) - 1 2 3
E)
Events A and B are independent.

Answer:

Step-by-step explanation:

To properly apply the substitution method, it will be better for us to rearrange the system of equations to have similar variables on the same side

[tex]44 - 4 = -2y ----equation 1[/tex]

[tex]10 = 7x + 4y --- equation 2[/tex]

We can simply evaluate equation 1 to have

[tex]40 = -2y\\y = 40/-2 = -20\\[/tex]

y = -20

From the first equation alone, we can evaluate the value of y as -20. This is because only one unknown is present in equation one, hence a single equation is sufficient enough to evaluate it. If to unknowns were present, the two equations would have been utilized to evaluate the solution.

Answer:

Correct Median:

9, 3, 6, 1, 4 (median = 4)

1, 6, 9 (median = 6)

​4. 9, 11, 13, 16, 20 (median = 12)

Incorrect Median:

2. 7.9, 11, 14, 76 (median = 76)

43, 46, 48, 52 (median = 48)

3, 10, 7 (median = 10)

Answer:

The exponential form of [tex]\log_{4} 4 = 1[/tex] is [tex]4 = 4^{1}[/tex].

Step-by-step explanation:

After some research in the web, we find that correct statement is:

Rewrite [tex]\log_{4} 4 = 1[/tex] in exponential form.

We obtain its exponential form by using the definition of logarithm:

[tex]4^{\log_{4} 4} = 4^{1}[/tex]

[tex]4 = 4^{1}[/tex]

Answer:

so what is the question?

Answer:

G

Step-by-step explanation:

From the box plots given, the options that seem very much on support of the information given in the box plot is option G.

Median number in a box plot is the number at the point where the vertical line divides the box.

The median for Thin Crust is about 55 while the median for Thick Crust is above 55.

Therefore we can conclude that:

"The median number of orders for thick crust pizzas is larger than the median median number of orders for thin crust".

Answer: The rates of change for both function A and function B are positive : TRUE

The rates of change for functions A is 3 times the rate of change for function B : FALSE

The y - intercepts for both Function A and Function B are positive : FALSE

Step-by-step explanation:

Answer:

[tex]10 {}^{2} - 11(10 - 2) \\ 100 - 11 \times 8 \\ 100 - 88 \\ = 12[/tex]

Answer:

[tex]\sqrt[3]{\frac{-729}{216} } = \sqrt[3]{\frac{9*9*9*}{6*6*6} } = (\frac{9^3}{6^3})^{\frac{1}{3} } = \frac{9}{6} = \frac{3}{2}[/tex]

option a

Answer:

joe mama

Step-by-step explanation:

Answer:

10°

Step-by-step explanation:

You can see the three angles shown form a straight line, meaning they add up to 180°. We can et up the equation:

m<AOC + m<COD + m<DOB = 180°

And we can substitute the values we have:

5a + 18 + 24 - a + 8a - 30 = 180

Next, we can combine all like terms:

12a + 12 = 180

12a = 168

a = 14

Now, to find each angle, we can substitute the value of a:

m<AOC = 5a + 18 = 5(14) + 18 = 88°

m<COD = 24 - a = 24 - 14 = 10°

m<DOB = 8a - 30 = 8(14) - 30 = 82°

The smallest angle is <COD with a measure of 10°.

Answer:

30 mins = 0.5 hours

4.5 miles/0.5 hours = your answer

Step-by-step explanation:

Answer:

speed = distance

time

speed = 4

30

speed = 7.5

Answer:

11

Step-by-step explanation:

The line plot shows how many people read many many books with the number of "x"s above each number. So, through this graph,  we see that 0 people read 0 books, 5 people read 1 book, 3 people read 2 books, 6 people read 3 books, 3 people read 4 books, 3 people read 5 books, 2 people read 6 books, 2 people read 7 books, and 1 person read 8 books. The problem asks how many people read 4 or more books. So, we add up all the people that read 4 or more books shown on the graph, which is 4, 5, 6, 7, and 8.

3 people read 4 books, 3 people read 5 books, 2 people read 6 books, 2 people read 7 books, and 1 person read 8 books.

3 + 3 + 2 + 2 + 1 = 11. 11 students read 4+ books.

Answer: 1 2/3

Step-by-step explanation:

Answer:

1 2/3

Step-by-step explanation:

3/3 is = 1

2/3 = 2/3

5/3 = 1 + 2/3

5/3 = 1 2/3

Hope this helps!

Answer: D

Step-by-step explanation:

Answer:

x = -1.525

y = 8.525

Step-by-step explanation:

xy = -13

x + y = 7

we can let 'y' equal 7-x and use substitution

x(7-x) = -13

7x - x² + 13 = 0

divide through by negative one to get a positive x²

x² - 7x - 13 = 0

use the quadratic formula to get:

x = -1.525

y = 8.525

Answer:

A. The range of both data sets is 40

Step-by-step explanation:

Range = the maximum value - the minimum value

✔️For the Seventh-Grade Students' data set,

Maximum value = 45

Minimum Value = 5

Range = 45 - 5 = 40

✔️✔️For the Eight-Grade Students' data set,

Maximum value = 45 (the value at the whisker to your far right)

Minimum Value = 5 (value indivl ated by the whisker on your far left)

Range = 45 - 5 = 40

Therefore, the two data sets can be described as having the same range of 40.

Answer:

horizontal

Step-by-step explanation:

9514 1404 393

Answer:

  A)  105°

Step-by-step explanation:

The two marked angles are alternate interior angles, so are congruent.

  8x +17 = 9x +6

  11 = x

  8x +17 = 8(11) +17 = 88 +17 = 105 . . . . degrees

The bolded angle is 105°.

Answer:

105 degrees

Step-by-step explanation:

Here ,

8x+17=9x+6(being alternate angles )

17-6=9x-8x

11= x

Again,

8x-17=8×11+17

Therefore 8x-17=105 degrees

Answer:

Step-by-step explanation:

8

Answer: five and a half weeks.

Step-by-step explanation: 20 times 2 (the twice a week deposit) = 40. 220 (the negative checking) divided by 40 (the deposits each week) equals 5.5

Complete question :

According to the National Association of Realtors, it took an average of three weeks to sell a home in 2017. Suppose data for the sale of 39 randomly selected homes sold in Greene County, Ohio, in 2017 showed a sample mean of 3.6 weeks with a sample standard deviation of 2 weeks. Conduct a hypothesis test to determine whether the number of weeks until a house sold in Greene County differed from the national average in 2017. Useα = 0.05for the level of significance, and state your conclusion

Answer:

H0 : μ = 3

H1 : μ ≠ 3

Test statistic = 1.897

Pvalue = 0.0653

fail to reject the Null ; Hence, we conclude that their is no significant to accept the claim that number I weeks taken to sell a house differs.

Step-by-step explanation:

Given :

Sample size, n = 40

Sample mean, x = 3.6

Population mean, μ = 3

Standard deviation, s = 2

The hypothesis :

H0 : μ = 3

H1 : μ ≠ 3

The test statistic :

(xbar - μ) ÷ (s/√n)

(3.6 - 3) / (2/√40)

0.6 / 0.3162277

Test statistic = 1.897

Using T test, we can obtain the Pvalue from the Test statistic value obtained :

df = n - 1; 40 - 1 = 39

Pvalue(1.897, 39) = 0.0653

Decison region :

If Pvalue ≤ α ; Reject the null, if otherwise fail to reject the Null.

α = 0.05

Pvalue > α ; We fail to reject the Null ; Hence, we conclude that their is no significant to accept the claim that number I weeks taken to sell a house differs.

Answer:

The LCL for a 90% confidence interval for p is 0.82.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

A lawn service owner is testing new weed killers. He discovered that a particular weed killer was effective 89% of time. Suppose that this estimate was based on a random sample of 60 applications.

This means that [tex]\pi = 0.89, n = 60[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.89 - 1.645\sqrt{\frac{0.89*0.11}{60}} = 0.8236[/tex]

Rounding to two decimal places, the LCL for a 90% confidence interval for p is 0.82.

Answer:

it's d

Step-by-step explanation:

Answer: (9 3/4)= 78/8  is greater than 77/8 = (9 5/8)

Step-by-step explanation:

there for 9 3/4 is 1/8th greater than 9 5/8

Answer:

C) Infinitely many

Step-by-step explanation:

7x+3-x=3(1+2x)

6x+3=3+6x

Subtract 3 from both sides

6x = 6x

Infinitely many solutions

Answer:

The answer is Perpendicular

Exponentiation is not clear

If so Exponentiation

a²b²+2ab(a²+1)+a²-b²-1

this answer

a²b²+2a³b-b²+2ab+a²-1

As for if so Exponentiation

[tex]a²b²+2ab(a²+1)+a² - b {}^{2 - 1} [/tex]

this answer

a²b²+2a³b+2ab+a²-b

Answer:

We use Pythagoras' theorem:

[tex] \bf {AC}^{2} = {AB}^{2} + {BC}^{2} \\ \\ \bf {AC}^{2} = ( \frac{12}{13})^{2} + ( \frac{5}{13} )^{2} \\ \\ \bf {AC}^{2} = \frac{ {12}^{2} }{ {13}^{2} } + \frac{ {5}^{2} }{ {13}^{2} } \\ \\ \bf {AC}^{2} = \frac{144}{169} + \frac{25}{169} \\ \\ \bf {AC}^{2} = \frac{169}{169} \\ \\ \bf {AC}^{2} = 1 \\ \\ \bf AC = \sqrt{1} \Rightarrow \red{ \boxed{ \bf AC = 1} } [/tex]

Answer:

AC = 1

Step-by-step explanation:

This is Pythagoras' theorem, which states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse.

⇒ Th.P ⇒ AC² = AB² + BC²

<=> AC² = (12/13)² + (5/13)²

<=> AC² = 144+25/169

<=> AC² = 169/169

<=> AC² = 1

⇒ AC = √1 = 1.