A and B are independent events. P(A) = 0.50 and P(B) = 0.30. What is
PA and B)?

Answer:

0.4867

Step-by-step explanation:

Given an approximately normal distribution:

Z = (x - mean) / standard deviation

Mean = 32.6 ; Standard deviation = 12

For :

P(x > 33)

Z = (33 - 32.6) / 12

Z = 0.4 / 12

Z = 0.0333

Hence, using the Z distribution table :

P(Z > 0.0333) = 1 - P(Z < 0.333)

P(Z > 0.0333) = 1 - 0.51328

P(Z > 0.0333) = 0.48672

Answer:

See the attachment ⬆️⬆️

Answer:

The midpoint: (8,9.5)

Step-by-step explanation:

((9+7)/2,(11+8)/2))

Answer:

Area of parallelogram = 63 square units

Step-by-step explanation:

In the given parallelogram:

Height of parallelogram = 9 units

Base of parallelogram = 7 units

Find:

Area of parallelogram

Computation:

Using area of parallelogram;

Area of parallelogram = Height of parallelogram x Base of parallelogram

Area of parallelogram = 9 x 7

Area of parallelogram = 63 square units

Answer:

11. Expression

12. Equation

13. Equation

14. Expression

15. Equation

Step-by-step explanation:

Expression:

Has no equal sign.

Equation:

Has equal sign.

11. 2 + 5

14. X + 25

Those which do not have the equal sign are expressions.

12. 2 + 5 = 7

13. 4x = 12

15. 16 - 6 = 10

Those with the equal sign are equations.

Answer:

V ≈ 706.9 cm³

Step-by-step explanation:

The volume (V) of a cylinder is calculated as

V = πr²h ( r is the radius and h the height )

Here r = 5 and h = 9 , then

V = π × 5² × 9

   = π × 25 × 9

   = 225π

   ≈ 706.9 cm³ ( to the nearest tenth )

Answer:

300

Step-by-step explanation:

Find the y value when x = 60

Looking at the graph when x=60, y= 300

Answer:

24x-48y

hope this helps

have a good day :)

Step-by-step explanation:

Step-by-step explanation:

−12(−2x+4y) = 24x - 48y

______

Answer:

length of one side = 18.75cm

Step-by-step explanation:

Perimeter of a square = 4 x side

                             75 = 4 x side

[tex]side = \frac{75}{4} = 18.75cm[/tex]                            

Answer:

11520 seconds

Step-by-step explanation:

3.2 x 60= 192 minutes

192 x 60= 11520 seconds

Answer:

it would be 101 i believe

Answer:

1,132,713

Step-by-step explanation:

9+ 92 * 12312

= 9 + 1,132,704

= 1,132,713

Answer: 44 Us Cups

Step-by-step explanation:

Answer:

A.5+4<9+1

B. 5+4<10+0

C. 5+4>5-4

D. 5+4=15-4

Step-by-step explanation:

A. 9<10

B. 9<10

C. 9>1

D9=9

Answer:

A=10>5+4

B=10>5+4

C=1<5+4

D=11>5+4

Step-by-step explanation:

Answer:

-1, 5

Step-by-step explanation:

no really explanation, but its a graph and when u have agraph x goes before y. and the x in the middle of it is what its talking about and u can see the middle is on a 5 and a -1

Given:

The expression is:

[tex]\dfrac{1-\cos 2x}{1+\cos 2x}[/tex]

To find:

The integration of the given expression.

Solution:

We need to find the integration of [tex]\dfrac{1-\cos 2x}{1+\cos 2x}[/tex].

Let us consider,

[tex]I=\int \dfrac{1-\cos 2x}{1+\cos 2x}dx[/tex]

[tex]I=\int \dfrac{2\sin^2x}{2\cos^2x}dx[/tex]         [tex][\because 1+\cos 2x=2\cos^2x,1-\cos 2x=2\sin^2x][/tex]

[tex]I=\int \dfrac{\sin^2x}{\cos^2x}dx[/tex]

[tex]I=\int \tan^2xdx[/tex]                      [tex]\left[\because \tan \theta =\dfrac{\sin \theta}{\cos \theta}\right][/tex]

It can be written as:

[tex]I=\int (\sec^2x-1)dx[/tex]             [tex][\because 1+\tan^2 \theta =\sec^2 \theta][/tex]

[tex]I=\int \sec^2xdx-\int 1dx[/tex]

[tex]I=\tan x-x+C[/tex]

Therefore, the integration of [tex]\dfrac{1-\cos 2x}{1+\cos 2x}[/tex] is [tex]I=\tan x-x+C[/tex].

Answer:

2 is scalene

3 is right

4 is right

5 is equalatirel

6 is scalene

7 is isocoles

8 is equalatirel

9 is right

Step-by-step explanation:

Answer:

2: scalene

3: right

4: right

5: equilateral

6: scalene

7: isosceles

8: equilateral

9: right

Step-by-step explanation:

2: A scalene triangle has no congruent sides

3: A right triangle has a 90 degree angle

4: A right triangle has a 90 degree angle

5: An equilateral triangle has 3 congruent sides

6: A scalene triangle has no congruent sides

7: An isosceles triangle has 2 congruent sides

8: An equilateral triangle has 3 congruent sides

9: A right triangle has a 90 degree angle

Answer:

0.0006

Step-by-step explanation:

The probability is

Given that

A denotes the bottle being filled improperly

And,  

B denotes the label on the bottle will not be affixed properly

So,

P(A) = 0.02 ,

ANd, P(B) = 0.03

Also that A and B are independent events.

So, by property of independence is

P(A \cap B) = P(A and B) = P(A) P(B)

= P(A and B) =P(A)P(B)

= 0.02 × 0.03

= 0.0006

Answer:22

Step-by-step explanation:

The complete sentence is

The price with coupon B is $10 less than the price with coupon A.

It depends on the original price of the S41 shoes.

Coupon A offers a 15% discount on S41 shoes, while Coupon B provides a $10 rebate on S41 shoes.

Let's assume the original price of the S41 shoes is P dollars.

Using Coupon A, the discounted price would be 85% of the original price = (0.85 * P) dollars.

Using Coupon B, the price after the $10 rebate =  (P - $10) dollars.

Now, compare (0.85 * P) with (P - $10).

simplify the expression (0.85 * P) < (P - $10) as

0.85P < P - $10

0.85P - P < - $10

-0.15P < - $10

P > (- $10) / (-0.15)  

P > $66.67

Therefore, if the original price of the S41 shoes is greater than $66.67, Coupon A (15% off) will give a lower price. If the original price is lower than $66.67, Coupon B ($10 rebate) will give a lower price.

Learn more about Inequality here:

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Answer:

37.7

Step-by-step explanation:

Circumference = [tex]2\pi r[/tex]

Circumference = [tex](2)(\pi )(6)[/tex]

Circumference = 37.69911184 / 37.7

Therefore, circumference of the circle with the radius 6 cm is 37.7.

Answer:

37.7

Step-by-step explanation:

formula for circumference of a circle=2πr

2×π×6=37.7cm

Answer:

[tex]x= -\frac{17}{29} +\frac{7y}{29}[/tex]

Step-by-step explanation:

[tex]29x-7y=-17[/tex]

[tex]x= -7y/29 + -17/29[/tex]  Divide every number by x except

Answer:

336+76+48+38= 498

Step-by-step explanation:

add all those sides up because it is just the perimeter

Answer:

336+76+48+38= 498

Step-by-step explanation:

===========================================================

Work Shown:

Use the tangent ratio

tan(angle) = opposite/adjacent

tan(B) = AC/AB

tan(61) = AC/1

tan(61) = AC

AC = tan(61)

AC = 1.80404775527142

AC = 1.8

The river is about 1.8 miles wide between points A and C.

Make sure your calculator is in degree mode. One way to check is to type in tan(45) and you should get 1.

Answer:

405 feet

Step-by-step explanation:

s = 2 * (√5) * 90

s = 2 * 201.246117975

s = 402.49223595

Closest estimate

405 feet

Answer:

Since The equation that depicts the motion of the Car is given.

The speed in terms of the tire marks...

s= 2√5x

where x is the tire marks(in feet.)

s is the speed(miles per hr)

We can't use the speed in Miles per hr when the tire mark is feet.

1mile = 5280ft

90miles x 5280ft/1mile = 475,200ft/hr

Making x the subject

x= s/2√5

x= 475/200/(2√5 )

=106,257ft

I still can't see what I'm missing or You sure you didn't forget to add something else to the question?

Answer:

[tex] \frac{(x - 2)(x + 2)}{x - 8} [/tex]

Answer:

I'm guessing 60

Step-by-step explanation:

84% sure tho

Answer:

emm who exactly is chipo bcause i literally have no idea

Answer:earthy

Step-by-step explanation:vuinh

Answer:

option A

Step-by-step explanation:

f(x) = 3x + 2

g(x) = 2x - 2

(f - g)(x) = f(x) - g(x)

           = (3x + 2) - (2x - 2)

           =3x + 2 - 2x + 2

           = x + 4

The value of function (f - g)(x) is,

⇒ (f - g)(x) = x + 4

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Function are,

f(x) = 3x + 2 and g(x) = 2x - 2

Hence, The value of function (f - g)(x) is,

⇒ (f - g)(x) = (3x + 2) - (2x - 2)

⇒ (f - g)(x) = 3x + 2 - 2x + 2

⇒ (f - g)(x) = x + 4

Thus, The value of function (f - g)(x) is,

⇒ (f - g)(x) = x + 4

Learn more about the function visit:

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Hi there! Using one of the logarithmic property below:

[tex] \large \boxed{ log_{a}(b) = n \longrightarrow {a}^{n} = b}[/tex]

From the equation:

[tex] \large{ log_{2}(y) = x + 7}[/tex]

Therefore,

[tex] \large{ {2}^{x + 7} = y} \\ \large{y = {2}^{x + 7} }[/tex]

Answer

Answer:

The answer is the first day