A bag contains cards numbered from 10 to 100. Why are the events "choosing an odd number" and "choosing an even number" mutually exclusive?

A) a number is neither even nor odd

B) they are dependent

C) they are independent

D) a number is either even or odd

Answer:

x = 112°

Step-by-step explanation:

This figure shown is a pentagon. The total sum of degrees in a pentagon equals to 540° according to the formula (n - 2)180° where n is the number of sides. (5 - 2)180° = 3 × 180° = 540°.

To find x, we need to subtract all the given angles from 540°.

x = 540° - 130° - 118° - 105° - 75° = 112°

Answer:

x = 112°

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 5 , then

sum = 180° × 3 = 540°

sum the interior angles and equate to 540°

105° + 118° + 75° + 130° = 540°

428° + x = 540° ( subtract 428° from both sides )

x = 112°

The distance between your house and the subway stop is 6 units

The coordinates are given as:

The distance between both points is calculated using:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

So, we have:

[tex]d = \sqrt{(-7 + 3)^2 + (2 - 6)^2}[/tex]

Evaluate

d = 6 (approximated)

Hence, the distance between your house and the subway stop is 6 units

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Answer:

3 [tex](\frac{5}{6}) ^{4}[/tex]

Step-by-step explanation:

each post is [tex]\frac{5}{6}[/tex] the height of the previous post

there are 4 poles between the tallest 3 ft and the smallest

this involves multiply the heights of previous poles by [tex]\frac{5}{6}[/tex] , 4 times

shortest pole = 3 × [tex](\frac{5}{6}) ^{4}[/tex]

Since the two equations are of line and coincident to each other so the equations will have an infinite number of solutions.

The equation which have a degree of one will be called as the linear equation the graph of the equation will be always a straight line.

Here we have the equation:

x-5=-5+x

or

x-5=x-5

Here we can see that the ratios are same:

[tex]\dfrac{a_1}{b_1}=\dfrac{a_2}{b_2}\\\\\\\\\dfrac{1}{-5}=\dfrac{1}{-5}[/tex]

So the equations will be coincident to each other or line one will coincide with line 2. Hence the two equations are of line and coincident to each other so the equations will have an infinite number of solutions.

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Answer:

Step-by-step explanation:

Keep going I believe in you!

[tex]~~~~~x(x+1)(x-2)^2 =0\\\\\implies x = 0~~ \text{or}~~ x +1 = 0~~ \text{or}~~ (x-2)^2 = 0\\\\\implies x = 0, ~ x = -1 , ~x=2\\\\\text{Hence the roots are}~0,-1 ,~2[/tex]

Answer:

c

Step-by-step explanation:

cuz its from the one neighborhood and not from different and more diverse ones

Answer:

No, he chose only members of a specific part of the population.

Step-by-step explanation: He asked people in his neighborhood when the question asks for people in a certain(assuming his) town.

Answer:

D. 36.75-3x

Step-by-step explanation:

You have a total amount of 36.75.

Since you are spending money you need to subtract.

We know that Marshall buys 3 tickets.

We also know that 'x represents the amount of a single ticket.

Remember that they are asking you for an algebraic expression and not an equation.

So you need to take away from your total, 36.75. And since you plan on buying three tickets and aren't given the amount x it leaves you with taking 3x from your total 36.75 or an other words

D. 36.75 - 3x

Answer:

∠B=19°

Step-by-step explanation:

At the endpoints of a diameter, angle c meets the circle. It intercepts a 180-degree arc.We know that the measure of C is 90 degrees because the measure of an inscribed angle is half the measure of its intercepted arc. Angles of triangle of ABC must add up to 180.

m∠A+m∠B+m∠C= 180°

71°+m∠B+90°=180°

m∠B+161°=180°

m∠B=19°

Answer:

I would have 360000.

Step-by-step explanation:

250 (the amount of money I earned) x 60(as in 60 mins in a hour) and 24(as in 24 hours a day) equals 360000 total.

Answer:

15%

Step-by-step explanation:

Take 9 and divide that by 60.

The rectangle maximum area will be A=9 square units with the length=3 and the width=3.

Area is defined as the space occupied by a plane or rectangle having length and width in two dimensional plane.

It is given that the perimeter of rectangle is P=12

So from the formula of perimeter of rectangle

2(L+W)=12

L+W=6

L=6-W

Now the area of rectangle will be

A=LxW

A=(6-W)W

Now for maximum area we will find the derivative and equate to zero.

[tex]A=(6W-W^2})[/tex]

[tex]A'=6-2W=0[/tex]

[tex]W=3[/tex]

[tex]L=6-W=6-3=3[/tex]

So the area will be

[tex]A=3\times 3=9 \ square \ units[/tex]

Hence the rectangle maximum area will be A=9 square units with the length=3 and the width=3.

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Answer:

xy = -1 and y = -1/x are the same.

They are not linear equations because they are not written in the form

Ax + By = C.

Answer:

x=1/4

Step-by-step explanation:

4x - 1 = 0 /+1

4x = 1 /:4

x= 1/4

The given function 9.1% of 80 is the closest to the number which is approximate 7.

Suppose a number is 'a'

Suppose another number is 'b'

We want to know how much percent of 'b' is 'a'.

Then, it is calculated as:

[tex]\dfrac{a}{b} \times 100[/tex]

(in percentage)

We have to find that 9.1% of 80 is the closest to which number.

[tex]\dfrac{9.1}{100} \times 80\\\\= 0.91 \times 8\\\\\= 7.28[/tex]

Hence, The given function 9.1% of 80 is the closest to the number which is approximate 7.

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Here x is the angle of the elevation and the value of x is 31 degrees.

We have given that,

Amari is observing a woodpecker near the top of a tree,

as shown in the diagram given.

We have to determine,

The measure of angle x, the angle of elevation, is rounded to the nearest degree.

[tex]tan(\theta)=\frac{Opposite \ side}{Hypotenuse}[/tex]

From the diagram,

Opposite side=20ft

Adjacent side=36ft

Use this value of the above formula.

So we get,

[tex]tan(\theta)=\frac{20}{36} \\\\tan(x)=5/9\\\\tan(x)=0.55\\x=tan^{-1}(0.55)\\x=31.51^0[/tex]

Here x is the angle of the elevation and the value of x is 31 degrees.

Therefore the value of x is 31.

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Answer:

Scale factor of 1/2.

Step-by-step explanation:

Note that the comparison is figure A to figure B'.

The original measurements that are given are the side measurements of 16 & 6. In comparison to the corresponding parts for the other figure, it would be 8 & 3 respectfully.

Find the factor in which they change by multiplying.

16x = 8

6x = 3

Isolate the variable by dividing:

(16x)/16 = (8)/16

x = 8/16 = 1/2

(6x)/6 = (3)/6

x = 3/6 = 1/2

The scale factor is 1/2.

~

Answer:

Hi, I belive your answer is 188.02

sorry if it is wrong

Here is how to get the answer which is 188.02; 11.9 x 15.8= 188.02in²

and here you go have a splendid day!

Step-by-step explanation:

Answer:

188.02

Step-by-step explanation:

The probability that all of the buttons are black when four buttons are picked at random from a which jar contains four black buttons and three, is 1/35.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

A jar contains four black buttons and three brown buttons. The total number of buttons is,

[tex]4+3=7[/tex]

The probability of picking a black button in the first attempt is,

[tex]P_1=\dfrac{4}{7}[/tex]

Now, there is total 6 buttons remain in which 3 are black buttons. Thus, the probability of picking black button in second attempt is,

[tex]P_2=\dfrac{3}{6}[/tex]

Similarly, for the third event,

[tex]P_3=\dfrac{2}{5}[/tex]

For the fourth event,

[tex]P_4=\dfrac{1}{4}[/tex]

The probability that all of them are black by the chain rule of probability,

[tex]P=\dfrac{4}{7}\times\dfrac{3}{6}\times\dfrac{2}{5}\times\dfrac{1}{4}\\P=\dfrac{1}{35}[/tex]

Thus, the probability that all of the buttons are black when four buttons are picked at random from a which jar contains four black buttons and three, is 1/35.

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Answer:

maybe        3

              2

Step-by-step explanation:

Answer:

1 over 4,989,600 That's the answer yw btw

Answer:

32.078

Step-by-step explanation:

Basically, all you want to do is write it all down on a paper, biggest number to smallest number, then you want to add all the places up, tens, hundreths, and ones. This works with every decimal based question.

Answer:

The green figure, #4

Answer:

9

Step-by-step explanation:

[tex]3 \frac{3}{4} + 5 \frac{1}{4} = 8 \frac{4}{4} = 9[/tex]

[tex]\rule{300}{2}\\\dashrightarrow\large\textsf{\textbf{\underline{Given question:-}}}[/tex]

      [refer to attachment for question]

[tex]\dashrightarrow\large\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

In order to find out how many miles Peter rode overall, we need to add the number of miles he rode on Monday + the number of miles he rode on Tuesday:-

Since the denominators match, we can just add the numerators and the whole parts:-

[tex]\bigstar[/tex] Which results in

[tex]\boxed{\bold{9\:Miles}}[/tex]

[tex]\rule{300}{1}[/tex]

If the discount is 75% so the new price of the product will be 0.25P.

Discount is the reduced amount on the MRP of any product. So we will give the less amount then the MRP of the product.

Here the discount on P is given as 75% so the price of the product now becomes P-0.75P;

The expression will be calculated as:

P-0.75P=0.25P

Hence If the discount is 75% so the new price of the product will be 0.25P.

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Answer:

LETS DO THIS!

Step-by-step explanation:

when a line is perpendicular the line is negative and reciprocal.y

y=2x+6

now we substitute.

-4=2(5)+b

-4=10+b

-14=b is your answer

Step-by-step explanation:

Hlew frnd!

To find the slope of the perpendicular line we just take the reciprocal and therefore change the sign of slope,

Perpendicular to y = -½x + 6

Hence, the slope will be = -½ = 2

Now we have to find the slope-intercept form, So

here y intercept is given and the point will be (0,b) then eqs. of line,

=> y = mx + b [slope-intercept form]

=> -4 = 2*5 + b

=> -4 = 10 + b

=> b = -14

Answer: 44

Step-by-step explanation:

Answer:

0.6063

Step-by-step explanation:

Just substitute in the binomial probability formula from 4 successes until 6 successes.

The operation that should be completed first to find the value of the expression is 6 - 3

The equation is given as:

12 + 30 = (6 - 3) +1

By the rule of BODMAS, the first expression that should be evaluated is the expression in the bracket

This means that we solve for 6 - 3, first.

Hence, the operation that should be completed first to find the value of the expression is 6 - 3

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