Events A and B are independent. Find the missing probability.
P(a)=3/10,p(b)=13/20,p(a and b)=?

The answer is a hundred hours a month

dad brings home 3,600 dollars so mom has to make 900 a month

7 is the answer dddddddddddddddd

Answer:

M+7

Step-by-step explanation:

ANSWER

[tex]\cos(150 \degree) = - \frac{ \sqrt{3} }{2} [/tex]

EXPLANATION

We want to find the exact value of cos(150°).

150° makes an angle of 30° with the positive direction of the x-axis and it is also in the second quadrant.

The cosine ratio is negative in the second quadrant.

Using the unit circle,

[tex] \cos(150 \degree) = - \cos(30 \degree) = - \frac{ \sqrt{3} }{2} [/tex]

Answer:

-√3/2

Step-by-step explanation:

Cos 150° can also be rewritten as shown;

Cos 150° = cos(90°+60°)

According to trigonometry identity

Cos(A+B) = cosAcosB - sinAsinB

Therefore;

Cos(90°+60°) = cos90cos60-sin90sin60

Cos(90°+60°) = 0(1/2) - 1(√3/2)

Cos(90°+60°) = 0-√3/2

Cos(90°+60°) = -√3/2

Cos 150° = -√3/2

Answer:

3/8

Step-by-step explanation:

That's the only one bigger than 2/6, any smaller will fall out as it's a button. You'd twist it sort of in half to get it in the hole, therefore, 3/8 is the only button that will fit.

I'm not sure if this is correct but this is how I'd go about it :)

Final answer:

Grams are best used to measure small, lightweight items. Therefore, a lettuce leaf, a grape, and an onion are the items from the provided list that would be best measured in grams. A watermelon, being larger, is typically measured in kilograms.

Explanation:

Selecting Items Best Measured in Grams

To answer the question regarding which items would be best measured in grams, let's start by understanding what grams are used for. Grams are a unit of mass commonly used to measure smaller, lightweight items. Considering the options given, let's evaluate each one:

A watermelon: While it has a significant amount of mass, a watermelon is generally better measured in kilograms due to its larger size.

B lettuce leaf: This is lightweight and would be best measured in grams, fitting the use of grams for small items.

C grape: Grapes are small and light, making grams the appropriate measure for their mass.

D onion: Typically, an onion is not too heavy and is suitably measured in grams, although if it's a particularly large onion, kilograms might be considered.

So, the items from the list that would be best measured in grams - considering they are small enough to fall into the range that the gram unit typically covers - would be a lettuce leaf, a grape, and an onion.

ANSWER

Option B

and

Option D.

EXPLANATION

The graph of the function has an amplitude of 2 and a period of

[tex] \frac{2\pi}{3} [/tex]

Choose all the equation that has an amplitude of 2 and a period of

[tex]\frac{2\pi}{3} [/tex]

These are:

[tex]y = 2 \sin3(x - \frac{2\pi}{3} ) [/tex]

and

[tex]y = 2 \sin(3x) [/tex]

The second and the last options are correct.

B and D are the correct answers

Answer:

[tex]\frac{1}{7}=\frac{3}{21}[/tex]

[tex]\frac{7}{1}=\frac{21}{3}[/tex]

Step-by-step explanation:

Verify each case

case 1) [tex]\frac{1}{7}=\frac{3}{21}[/tex]

Multiply in cross and then compare both sides

[tex]1*21=7*3[/tex]

[tex]21=21[/tex] ----> is true

therefore

Is a valid proportion

case 2) [tex]\frac{1}{21}=\frac{3}{7}[/tex]

Multiply in cross and then compare both sides

[tex]7*1=21*3[/tex]

[tex]7=63[/tex] ----> is not true

therefore

Is not a valid proportion

case 3) [tex]\frac{7}{1}=\frac{3}{21}[/tex]

Multiply in cross and then compare both sides

[tex]21*7=1*3[/tex]

[tex]147=3[/tex] ----> is not true

therefore

Is not a valid proportion

case 4) [tex]\frac{7}{1}=\frac{21}{3}[/tex]

Multiply in cross and then compare both sides

[tex]3*7=1*21[/tex]

[tex]21=21[/tex] ----> is true

therefore

Is a valid proportion

case 5) [tex]\frac{1}{7}=\frac{21}{3}[/tex]

Multiply in cross and then compare both sides

[tex]3*1=7*21[/tex]

[tex]3=147[/tex] ----> is not true

therefore

Is not a valid proportion

Answer:

a and d

Step-by-step explanation:

Answer:

The answer is a rectangle.

Step-by-step explanation:

A triangular prism was sliced parallel to its base. What is the shape of the cross section shown in the figure?

The answer is rectangle. If the base is a rectangle and we slice it parallel to the base in the same direction as the base, we will get smaller and smaller rectangles with each slice.

This can be clear with the picture attached. If we slice parallel to rectangular base, the cross section will be a rectangle.

Answer: 11 times

Step-by-step explanation:

Answer:

The output is 5

Step-by-step explanation:

we have

[tex]y=2x-1[/tex]

In this linear equation the input is the variable x and the output is the variable y

so

If the input is 3

That means ------> x=3

substitute the value of x in the equation and find the value of y (output)

[tex]y=2(3)-1=5[/tex]

Answer:

-3/2

Step-by-step explanation:

multiply both sides by y:

y-6 = 5y

subtract y from both sides:

-6 = 4y

divide both sides by 4:

-6/4 = y

y = -3/2

Answer:

[tex]\frac{y-6}{y}=5\quad :\quad y=-\frac{3}{2}[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}y\\\frac{y-6}{y}y=5y\\\mathrm{Simplify\:}\frac{y-6}{y}y:\quad y-6\\y-6=5y\\\mathrm{Add\:}6\mathrm{\:to\:both\:sides}\\y-6+6=5y+6\\y=5y+6\\\mathrm{Subtract\:}5y\mathrm{\:from\:both\:sides}\\y-5y=5y+6-5y\\-4y=6\\\mathrm{Divide\:both\:sides\:by\:}-4\\\frac{-4y}{-4}=\frac{6}{-4}\\y=-\frac{3}{2}[/tex]

OR

[tex]y-\frac{6}{y}=5\quad :\quad y=6,\:y=-1[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}y\\yy-\frac{6}{y}y=5y\\y^2-6=5y\\\mathrm{Solve\:}\:y^2-6=5y:\quad y=6,\:y=-1[/tex]

Hope this helps!!!!

Answer:

987.76 Hz

Step-by-step explanation:

You have B4's frequency of 493.88 Hz and you want to know the frequency of the note one octave above B4.

When you go up an octave, you double the original frequency.  When you go down an octave, you divide the original frequency by two.

So, since B4's frequency is about 493.88 Hz, an octave above would be 2 x 493.88 Hz or 987.76 Hz

If we were looking for an octave below B4, we would divide 493.88 Hz by 2 to get 246.94 Hz.

Answer:

987.76 Hz

Step-by-step explanation:

493.88*2=987.76

took the test

Answer:

0.00039745627

13 / 32708 is 0.004

I got this answer by using Long Division.

Hope this helps

Answer:

-2

Step-by-step explanation:

2+14a=-8+9a

-9a          -9a

2+5a= -8

+8      +8

10+5a=0

-10      -10

5a= -10

-10/5a   =-2

Answer: D

Step-by-step explanation: APEX

Answer:

The correct option is D)

Step-by-step explanation:

line x = 0 is y-axis (vertical line)

When graph is reflected along y-axis so, it will be in second quadrant.

so, the graph which satisfying these condition is only option D)

in which c ordinate are A has (-1,1) ,B has (-4,1) and C has (-3,3)

Hence, the correct option is D)

Answer:

Part 1) [tex][(250)^{2}+(-400)^{2}+(-250)^{2}+(350)^{2}+(100)^{2}+(-50)]=420,000[/tex]

Part 2) The variance is equal to [tex]Variance=70,000[/tex]

Part 3) [tex]Standard\ Deviation=265[/tex]

Step-by-step explanation:

step 1

Find the mean of the areas

we have

[tex][2,400,1,750,1,900,2,500,2,250,2,100][/tex]

To find the mean sum all the values and divide by the number of values

The number of values is 6

so

[tex][2,400+1,750+1,900+2,500+2,250+2,100]/6=2.150[/tex]

The Mean is [tex]2.150[/tex]

step 2

For each number subtract the Mean

[tex][(2,400-2,150),(1,750-2,150),(1,900-2,150),(2,500-2,150),(2,250-2,150),(2,100-2,150)][/tex]

[tex][(250),(-400),(-250),(350),(100),(-50)][/tex]

step 3

Find the Variance

To calculate the Variance, take each difference, square it, and then average the result

[tex][(250)^{2}+(-400)^{2}+(-250)^{2}+(350)^{2}+(100)^{2}+(-50)]=420,000[/tex]

[tex]Variance=420,000/6=70,000[/tex]

step 4

Find the standard deviation

The Standard Deviation is just the square root of Variance

so

[tex]Standard\ Deviation=\sqrt{70,000} =265[/tex]

The true statement about the events is (b) No, they are not independent because P(student)= 0.87 and P(student/shark)=0.95

Two events A and B are independent if

P(A∣B) = P(A)

Using the data entries in the table, we have:

P(Student) = 100/115

P(Student) = 0.87

Also, we have:

P(Student | Shark) = 90/95

P(Student | Shark) = 0.95

The probability values are not equal

i.e.

P(Student) ≠ P(Student | Shark)

Hence, the events A and B are not independent events because P(student)= 0.87 and P(student/shark)=0.95

Read more about probability at:

brainly.com/question/251701

#SPJ2

Answer: $26

$40*.35=$14 off price of sweater

40-14=$26 sale price

Or

$40*.65=$26 sale price

Answer:

The correct answer is $26.

Step-by-step explanation:

Well, we must first analyze the information we have.

We have a sweater that was marked down 35% off.

We know that the original price of the sweater is $ 40. Now we just have to find out the final price.

But to know that, we must first know what the discount was applied.

And we find out as follows:

[tex]Tax= 40 . 0,35[/tex]

[tex]Tax= 14[/tex]

In this way we show that the price discounted to the sweater was $ 14

Now we just have to make a subtraction between the original price and the discount :

40-14=26

The final price of the sweater is $ 26

ANSWER

-1

EXPLANATION

The slope formula is given by

[tex]m = \frac{y_1-y_2}{x_1-x_2} [/tex]

The slope of the line through (2, -3) and (-4, 3) is found by substituting the points into the above formula;

[tex]m = \frac{ - 3 - 3}{2 - - 4} [/tex]

This simplifies to

[tex]m = \frac{ - 6}{ 6} = - 1[/tex]

The slope is -1

Answer:

-1

Step-by-step explanation:

The slope of a line is the ratio of its change in rise to its change in run. In the -xy-plane, this is the same as the ratio of the change in y coordinate to the change in x coordinate. In notation, we write this as

[tex]\frac{\Delta y}{\Delta x}[/tex]

and calculate it by finding the difference between y coordinates and dividing it by the difference between x coordinates. Here, our y coordinates are 3 and -3, and our x coordinates are -4 and 2, so our slope would be

[tex]\frac{3-(-3)}{-4-2}=\frac{3+3}{-6}=\frac{6}{-6}=-1[/tex]

C; A and B are incorrect because the shift is not vertical, it is horizontal. This is because 3 is in parenthesis or a 'grouping' (same thing if it is in an exponent) and is being modified. Since the graph is being translated down 3 units, D is incorrect since it is a translation up 3 units. The answer is C.

Hello,

In Q5. Being a straight line the angles are supplementary to each other.

And x = 70°

In Q6.

The angles sum up to 90° , so 25x + 30° = 90

25x = 60°

x= 60°/25 = 2.4°

Hope this helps.

Answer:

see explanation

Step-by-step explanation:

5

x and 110 form a straight angle and are supplementary, thus

x + 110 = 180 ( subtract 110 from both sides )

x = 70

6.

25x and 30 form a right angle and are complementary, thus

25x + 30 = 90 ( subtract 30 from both sides )

25x = 60 ( divide both sides by 25 )

x = [tex]\frac{60}{25}[/tex] = [tex]\frac{12}{5}[/tex]

Answer:

Step-by-step explanation:

[tex]5|b+8|=30\qquad\text{divide both sides by 5}\\\\|b+8|=6\iff b+8=6\ or\ b+8=-6\qquad\text{subtract 8 from both sides}\\\\b=-2\ or\ b=-14[/tex]

To solve the equation 5|b+8|=30, we first isolate the absolute value by dividing by 5, then set up two separate equations for b + 8 = 6 and b + 8 = -6. Solving each gives us the solutions b = -2 and b = -14.

To solve the equation 5|b+8|=30, we will first divide both sides of the equation by 5 to isolate the absolute value expression.

So moving from the equation 5|b+8|=30, we get |b+8| = 6. This means that the expression inside the absolute value can be either positive 6 or negative 6.

We then write two separate equations to solve for the variable b:

Solving the first equation, we subtract 8 from both sides to find that b = -2. Solving the second equation, we subtract 8 from both sides to find that b = -14.

Thus, the solution for the equation 5|b+8|=30 is b = -2 or b = -14.

Answer:

p false

Step-by-step explanation:

Answer:

Truth value of ~p → ~q will be False.

Step-by-step explanation:

If the truth value of conditional statement p is false then the truth value of

~p will be True

If the truth value of other statement q is True then the truth value of ~q will be False

We know truth value of the implication of two conditional statements a → b is False only when a is true and b is false.

Therefore, ~p → ~q will be False.

Answer: 11

Step-by-step explanation:

3/2(6) - 3 + 5/3(3)= 11

Answer:

A. Triangle B

Step-by-step explanation:

Obtuse angles are greater than 90°, but less than 180°.

I am joyous to assist you anytime.

The obtuse triangle is B, the correct option is B.

A triangle whose any one of the angles is an obtuse angle or more than 90 degrees, then it is called an obtuse-angled triangle.

Hence, the obtuse triangle is B.

To know more about obtuse triangles click the link given below.

https://brainly.com/question/2617159

-24x. This is an example of a "telescoping series". If you notice, the last and first part of each term cancel out. Take away the parenthesis and you'll see it. x-3x+3x-5x+5x-7x+7x... everything goes away except x-25x so it's -24x.

Answer:

C) 5.6

Step-by-step explanation:

AC = sqrt(11^2 + 2^2) = sqrt(125)

(1/2)AC = (1/2)sqrt(125)

(1/2)AC = 5.6

Answer: C) 5.6

Answer:

C, 5.6

Step-by-step explanation:

A midsegment is half of the side it is parallel to. This means that it is half of BC. They give us the coordinates for B and C so we can just use the distance formula (the square root of the change in x squared plus the change in y squared)

If you simplify it, you get root 125 which is about 11.2. 11.2 divided by 2 is 5.6, so your answer would be C.

Answer: Y=mx+b

B is the y intercept and the slope is M

So the answer is Y= -4x+ 0

Step-by-step explanation:

Answer:

y = - 4x

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 4 and c = 0, hence

y = - 4x ← is the equation of the line

Answer:

A

Step-by-step explanation:

sorry just a little confused

Answer:

A) Flipping a coin and rolling a six sided dice.

Step-by-step explanation:

Lets use a process of elimination in order to find the correct answer.

We are looking for a uniform probability model. This means that every outcome in this situation has the same chance of occurring.

D) This cannot be the right answer as the chances of probability are [tex]\frac{2}{5} ,\frac{2}{5} ,\frac{1}{5}[/tex]

As these are not all equal, this cannot be the right answer.

B) This cannot be the right answer as the chances of probability are [tex]\frac{2}{5} ,\frac{3}{5}[/tex]

As these are not equal, this cannot be the right answer.

C) Lets look at every outcome that could occur in this situation.

You could have 2H, 2T, HT, and TH. As HT and TH are the same, their probability can be written together.

This means that the probabilities would be

[tex]\frac{1}{4} ,\frac{1}{4} ,\frac{1}{2}[/tex]

This means that A must be the correct answer as we have ruled out every other option.

Answer:

20%

Step-by-step explanation:

First: work out the difference (decrease) between the two numbers you are comparing.

Decrease = Original Number - New Number

350-280= 70

Then: divide decrease by original number & multiply the answer by 100.

70/350= .2

.2*100= 20

Percentage Reduced = 20%

% Decrease = Decrease ÷ Original Number × 100