Which of the following describes independent events A and B?
1) P(A)=0.70 P(B)=0.70 P(A and B)=0.40

2) P(A)=0.40
P(B)=0.70
P(A and B)=0.28

3) P(A)=0.40
P(B)=0.00
P(A and B)=0.40

4) P(A)=0.70 P(B)=0.40
P(A and B)=0.30

Answer:

7

Step-by-step explanation:

Answer:

[tex]c = -6[/tex]

[tex]d = -1[/tex]

Step-by-step explanation:

Given

See attachment for grid

Required

Find c and d

From the attachment, we have:

[tex]a = (3,5)[/tex] --- Point on A

[tex]a' = (-3,-6)[/tex] --- Corresponding point on B

When A is reflected across the x-axis, the rule is:

[tex](x,y) \to (x,-y)[/tex]

So, we have:

[tex](3,5) \to (3,-5)[/tex]

Next, is to calculate the translation from [tex](3,-5)[/tex] to [tex](-3,-6)[/tex]

This is calculated using:

[tex]3 + c = -3[/tex]

and

[tex]-5 + d = -6[/tex]

So, we have:

[tex]3 + c = -3[/tex]

[tex]c = -3-3[/tex]

---- i.e. Shift by 6 units to the left

[tex]-5 + d = -6[/tex]

[tex]d = 5 - 6[/tex]

[tex]d = -1[/tex]  --- i.e. Shift by 1 unit down

Answer: 72

Step-by-step explanation:

V=1/3bh

B= 6*6= 36

H=6

1/3*36*6

Answer: 72

Step-by-step explanation: 6*6*6/3

Answer:

C

Step-by-step explanation:

Answer:

A)CI 90 % = [ 7,2103 ;  8,7297]

B) s = √ ∑(xi - xp)²/n-1

c) z is the score for the given significance level in this case is 1,64

Step-by-step explanation:

For a confidence Interval of 90%, the significance level is α = 10 %

α = 0,1     α/2 = 0,05  and from z-table we find  z(c) for 0,05   z(c) = 1,64

CI 90 % = [ x  ±  z(c) * s/√n ]

CI 90 % = [ 7,97 ±  1,64 * 2.62/√32]

CI 90 % = [ 7,97 ± 0,7597]

CI 90 % = [ 7,2103 ;  8,7297]

B) To calculate the standard deviation of the sample the equation is:

s = √ ∑(xi - xp)²/n-1

xi - xp  is the difference between each one of the elements of the sample

xp is the mean or average of the elements of the sample and n is the sample size

Answer:

(2,2)

Step-by-step explanation:

Difference between -2 and 0 is 2 and difference between 4 and 2 is 2

Answer:

difference in y is 6 difference in x is 2

Step-by-step explanation:

Answer:

89 degrees

Step-by-step explanation:

Since these angles make up a triangle, we know that the total of these angles will make 180 degrees. So, we need to set the equations up appropriately, and solve for x:

[tex]180=(4x+1)+(2x-6)+(6x-7)\\180=12x-12\\192=12x\\x=16\\[/tex]

Then, you plug 16 back into the equation for angle J, and simplify:

[tex](6(16)-7)\\(96-7)\\(89)[/tex]

Therefore, the answer is 89 degrees.

Answer:

area = 12x² + 88x + 96

perimeter = 16x + 40

Step-by-step explanation:

Rectangle.

Length = 2x + 12

Width = 6x + 8

area = length × width

area = (2x + 12)(6x + 8)

area = 12x² + 16x + 72x + 96

area = 12x² + 88x + 96

perimeter = 2(length + width)

perimeter = 2(2x + 12 + 6x + 8)

perimeter = 2(8x + 20)

perimeter = 16x + 40

Answer:

ans no b if you will apply the formula

Step-by-step explanation:

i think it's no b

Answer:

222.33 ft^2

Step-by-step explanation:

The formula to find the area of a triangle with two sides and an included angle is:

A=[tex]\frac{1}{2}[/tex]absin(C),

where a and b are the two sides and C is the angle in between.

Area=[tex]\frac{1}{2}[/tex]*32*19*sin(47)≈222.33

222.33 ft^3

Answer:

false

Step-by-step explanation:

you can use whatever letters you want to represent things. x and y make sense that you would use just them for graphing, but if it is a word problem you could have like c for cost or t for time or something

Answer:

7/12

Step-by-step explanation:

Answer:

[tex]\sqrt{3} = q[/tex]

Step-by-step explanation:

Sin(45) = q/[tex]\sqrt{6}[/tex]

Sin(45) * [tex]\sqrt{6}[/tex] = q

[tex]\sqrt{3} = q[/tex]

Hope this helps!

Answer:

an inequality is a mathematical statement that shows that an expression is lesser than or more than the other.

Answer:

10.25

Step-by-step explanation:

hope this helps with the problem

Answer:

A, E

Step-by-step explanation:

a quadrilateral is a four-sided figure.

it is a square

Answer:

12 cm^2

Step-by-step explanation:

Here the base and height of a triangle are given.  To find the area, we use the formula A = (1/2)(base)(height), which here is

A = (1/2)(8 cm)(3 cm) = 12 cm^2

Answer:

all I know is how to get y but y=122

Step-by-step explanation:

y=3(40)+2

y=120+2

y=122

sorry but I dont know what to do for x

Answer:

sorry its 2

Step-by-step explanation:

from 11 to 13 it is 2

Answer:

the only solution is 0

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

2(x+3)=2x+6

Multiply 2 with the numbers in the parenthesis

2x+6=2x+6

Answer:

a-

Step-by-step explanation:

hi

so B should be the answer

Step-by-step explanation:

account a would have 16.42 in their account after 21 months and b would have 64.77 after 21 months also

Answer:

320√5 it simpleflied

Step-by-step explanation:

Answer: 8

Step-by-step explanation: in this problem n=3 so you are to substitute 3 in for the variable n.

3*2+2

3*2=6

6+2=8

g(3)=8

Hope this helps (^_^)

Answer:

8

Step-by-step explanation:

g(3) means to plug 3 in as the n-value

g(3)= (3)2+2

=6+2

g(3)=8

Answer:

the answer is 4.75

Step-by-step explanation:

5-0.25=4.75

Answer:

(46,56)

Step-by-step explanation:

Answer:

y = 4x + 1

Step-by-step explanation:

Find slope, rise over run

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}} = \frac{-3--7}{-1--2} = \frac{4}{1} = 4[/tex]

find y intercept by plugging in one of the coordinates in  y=mx+b, including m=4

-7 = 4(-2) + b

1 = b

Answer:

y = 4x + 1

Step-by-step explanation:

Answer:

(A), (D), and (E)

Step-by-step explanation:

In a quadratic function, the solutions are always on the x-axis, which means that it can be another word for x-intercept. Also, a zero and a root are the same thing, and they are both x-intercepts. Hope this helps!