Simplify the expression:
64 5/6

Answer:

Step-by-step explanation:

Answer:

It is 14. I split the shapes.

Step-by-step explanation:

Answer:

y = 7

Step-by-step explanation:

hope this helps

Answer:

4√3/3

Step-by-step explanation:

Find the diagram attached below

Considering angle 60°

Opposite side = 2

Hypotenuse = x

Using the SOH CAH TOA identity

sin theta  = opposite/hypotenuse

sin 60 = 2/x

x = 2/sin60

x = 2/(√3/2)

x = 2 * 2/√3

x = 4/√3

Rationalize

x = 4/√3 * √3/√3

x = 4√3/3

Hence the value of x in its simplest form is x = 4√3/3

Answer:

yes all fl oz will fit in the bottle

Step-by-step explanation:

1 cup = 8 fl oz

4 cups = 32 fl oz

you have still space 8 fl oz

Yes,  all 24 fl oz will fit in the bottle.

To measure and compare various things we use one term which is known as a unit. When all of the measuring units are the same, comparison is simple.

We need to convert both the capacity of the water bottle and the amount of water in fluid ounces to the same unit before we can compare them.

1 cup = 8 fluid ounces, so 4 cups = 32 fluid ounces.

Therefore, the water bottle can hold 32 fluid ounces of liquid.

Marty has 24 fluid ounces of water to put into the bottle.

Since 24 fluid ounces is less than 32 fluid ounces, all 24 fluid ounces of water will fit into the water bottle with room to spare.

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Step-by-step explanation:

Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept (where x = 0).

Use the given points, substituted into the standard equation, to get 2 equation with m and b as unknowns.  Solve this pair of equations for m and b, using the standard methods.

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Answer:

[tex]x=\ln{y}[/tex]

Step-by-step explanation:

The natural logarithm function is the inverse of the natural exponential function.  

[tex]\text{power}=\text{base}^{\text{exponent}}\\\\\text{exponent} \: =\: \log_\text{base}{\text{power}[/tex]

are equivalent.

Answer:

b= 7

Step-by-step explanation:

Answer:

It should be random (i think I don't know)

Step-by-step explanation:

Answer:

Yes it is biased

Step-by-step explanation:

Because instead of selecting a random variety of people they chose ones that are using their service...meaning they probably like the service. (I mean why else would they have it then)

Have a great day.

Answer:

Option D. -1 and 0

Step-by-step explanation:

Answer:

D. -1 and 0

Step-by-step explanation:

The number is not a mixed number or improper so it is going to be less than one.

Answer:

y=-5x+4

Step-by-step explanation:

The equation of the line is y=mx+b. We know what m is and what b is. Therefore, we can plug them into the equation. The line will be y=-5x+4. This is the equation of the line.

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Answer:

Perimeter = 25

Step-by-step explanation:

J(-2, 5)

K(1, 1)

L(1, -1)

M(-5, -4)

N(-5, 1)

Formula for distance between 2 coordinates is;

d = √((x_2 - x_1)² + (y_2 - y_1)²)

Thus;

JK = √((1 - (-2))² + (1 - 5)²)

JK = √25

JK = 5

KL = √((1 - 1)² + (-4 - 1)²)

KL = √25

KL = 5

LM = √((-5 - (-1))² + (-4 - (-1))²)

LM = 5

MN = √((-5 - (-5))² + (1 - (-4))²)

MN = 5

JN = √((-5 - (-2))² + (1 - 5))²)

JN = 5

Thus;

Perimeter = 5 + 5 + 5 + 5 + 5

Perimeter = 25

Answer:

e

Step-by-step explanation:

use a calculator online

The probability of winning the grand prize is 0.00101 if the In the Michigan State Lottery, a player wins the grand prize by correctly picking 6 different numbers from 1 to 49.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have a player wins the grand prize by correctly picking 6 different numbers from 1 to 49.

Total outcome = C(49, 6)  (repetition not allowed)

= 13983816

Favourable outcomes = 49⁶

Probability of winning the grand prize:

= 13983816/49⁶

After calculating:

P = 0.00101

Thus, the probability of winning the grand prize is 0.00101 if the In the Michigan State Lottery, a player wins the grand prize by correctly picking 6 different numbers from 1 to 49.

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Answer:

Okay so, first put a dot on the number three. Next, go down one and over two from that spot (2, 2) and so on.

Step-by-step explanation:

Answer and step-by-step explanation:

Here, we are given a linear equation, meaning that the graph is going to be a straight line. Firstly, we must identify the slope and the y-intercept of the line.

y = -1/2x + 3

The -1/2x is our slope, and the 3 is our y-intercept. So, let's plot the coordinate (0, 3) because that is the y-intercept. Lastly, we must find how steep the line is, and what direction it goes to. As you can see, it is negative, so that means that the slope will go from the top left to the bottom right. And, the slope is -1/2, which means that for every time you go to right two, you will also go down one. Hope this helps!

Answer:

6 is your base

your height is 8

8 x 6 = 48

48 divided by 2 = 24

Step-by-step explanation:

B is your answer

QUESTION :

Find the given value of each angle for the following supplementary angles must add up to 180

[tex]\Large{\underline{\mathcal{ Given : }}}[/tex]

[tex]\Large{\underline{\mathcal{Tofind : }}}[/tex]

[tex]\Large{\underline{\mathcal{Solution : }}}[/tex]

➱ᴛʜᴇ ᴛᴡᴏ ᴀɴɢʟᴇs ʟɪᴇs ᴏɴ ᴛʜᴇ sᴀᴍᴇ ʟɪɴᴇ

➱ѕσ ѕυм σƒ вσтн тнє αηgℓєѕ = 180°

therefore ,

⤳(5x-13)° + (11x+65)° = 180°

⤳5x -13° + 11x + 65° = 180°

⤳16x + 52° = 180°

⤳16x = 180° - 52°

⤳16x = 128°

⤳x = 128 /16

[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underline{\boxed{\sf{ x = \frak{\red{ 8 }}}}}[/tex]

hence ,

the two angles will be

⇛ᴏɴᴇ ᴀɴɢʟᴇ :

➛(5x-13)°

➛5(8) - 13

➛40 - 13

[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underline{\boxed{\sf{ᴏɴᴇ\: ᴀɴɢʟᴇ = \frak{\red{ 27° }}}}}[/tex]

⇛ᴀɴᴏᴛʜᴇʀ ᴀɴɢʟᴇ :

➛ (11x+65)°

➛11(8)+65

➛88 + 65

[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underline{\boxed{\sf{ᴀɴᴏᴛʜᴇʀ\: ᴀɴɢʟᴇ = \frak{\red{ 153° }}}}}[/tex]

Answer:

x = 22.2

Step-by-step explanation:

Let's set up this problem using cosine law:

x^2 = a^2 + b^2 -2abcos110

where a = 12, b = 15

x^2 = (12)^2 + (15)^2 - 2(12)(15)cos110

= 144 + 225 - 360(-0.342)

= 492

x = 22.2

Answer:

1)

P(X = 0) = 0.125

P(X = 1) = 0.375

P(X = 2) = 0.375

P(X = 3) = 0.125

2)

E(X) = 1.5

Step-by-step explanation:

For each coin, there are only two possible outcomes. Either it is heads, or it is tails. The probability of a toss being heads or tails is independent of any other toss. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The expected value of the binomial distribution is [tex]E(X) = np[/tex].

A fair coin is flipped 3 times.

Fair means that it is equally as likely to be heads or tails, so [tex]p = 0.5[/tex].

3 times means that [tex]n = 3[/tex]

(1) Find the pmf for X;

Probability of each outcome. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{3,0}.(0.5)^{0}.(0.5)^{3} = 0.125[/tex]

[tex]P(X = 1) = C_{3,1}.(0.5)^{1}.(0.5)^{2} = 0.375[/tex]

[tex]P(X = 2) = C_{3,2}.(0.5)^{2}.(0.5)^{1} = 0.375[/tex]

[tex]P(X = 3) = C_{3,3}.(0.5)^{3}.(0.5)^{0} = 0.125[/tex]

(2) calculate the expected value of X.

[tex]E(X) = np = 3*0.5 = 1.5[/tex]

Answer:

-3/4

Step-by-step explanation:

The answer will be option c which is short dash 3 over 4.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.

Given points are:(1,9)   and  (3,6)

The slope of the line will be calculated as:-

y = mx + c

9 = m+c

6 = 3m+c

By solving the above linear equations we will get the value of m which will be our slope.

m = -3/2

Hence the answer will be option c which is short dash 3 over 4.

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Answer:

(Base x height) x 1/2

Step-by-step explanation:

We do this because a triangle is emulating a rectangle with Base x Height. However, a triangle's shape is less conventional than a standard square or rectangle, thus the division by 2.

Answer:

A=bh/2

Step-by-step explanation:

For a right triangle with base b and a height h, its area is A=bh/2

Answer:

136 restaurants

Step-by-step explanation:

Answer:

Step-by-step explanation:

136 pizzas

Where the 2 lines meet in the middle to form an X

Answer:

The line of symmetry is -2

Step-by-step explanation:

I like to plug in equations and coordinates into a graphing calculator in order to get my answers. If you don't own a graphing calculator there is a site called desmos that is free.

Answer:

2b^2+2b

Step-by-step explanation:

b+3b^2+b-b^2

(b+b)+3b^2-b^2

2b+2b^2