What is the solution of the equation : + 8 = 21?

Answer:

2145 ft^3

Step-by-step explanation:

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:

136 restaurants

Step-by-step explanation:

Answer:

Step-by-step explanation:

136 pizzas

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:

The first one is 5.075

The second one is 3.15

The third one is 5.875

The fourth one is 7.55

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Answer:

2.03 x 2.5 = 5.075

1.4 x 2.25 = 3.15

2.35 x 2.5 = 5.875

3.02 x 2.5 = 7.55

Answer:

Step-by-step explanation:

Formula

Area = 1/2 (b1 + b2)*h

Givens

b1 = 11 m

b2 = 13 m

Area = 96

h = ?

Solution

96 = 1/2 (11 + 13) * h      Multiply by 2     Combine the bases as well.

96*2 = (24) * h              Divide by 24

96*2/24 = h                  Multiply by 2 and divide by 24

h = 8

Answer:

5 and 9 because it is right

Step-by-step explanation:

5(6)819

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:

28

Step-by-step explanation:

a = 28

Answer:

b= 7

Step-by-step explanation:

Answer:

S_n = 99.18

Step-by-step explanation:

The series is;

200, -160, 128...

Now,the common ration would be gotten by dividing two consecutive terms i.e. a2/a1, a3/a2, a4/a3 e.t.c.

Now,

r = -160/200

r = -4/5

Formula for sum of geometric series is;

S_n = a1(1 - rⁿ)/(1 - r)

Where a1 is the first term and n is the number of terms in the series.

In this case;

a1 = 200

n = 10

Thus;

S_n = 200(1 - (-4/5)^(10))/(1 - (-4/5))

S_n = 99.18

Answer:

A = 63 square feet

B = 28 square feet

C = 4 square feet

Step-by-step explanation:

Formula for the area of a rectangle is:

Area = length x width

Answer:

true

Step-by-step explanation:

Answer:

The answer is C as money needed to spend on lunch is 3times on snacks so if we let money on snacks as s then lunch will be 3s.

Step-by-step explanation:

And the total money he has is $9 so

3s+s = 9

The inequality will be 3s + s greater than or equal to 9. The correct option is C.

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to, > ‘greater than, or < ‘less than.

It is given that Crystal has $9 to spend on lunch and an afternoon snack. If lunch costs three times as much as the snack.

The answer is C as the money needed to spend on lunch is 3 times on snacks if we let money on snacks as s then lunch will be 3s. And the total money he has is $9.

3s+s = 9

Therefore, the inequality will be 3s + s greater than or equal to 9. The correct option is C.

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Answer:

The answer is C, 18 hours.

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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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:

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:

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

Step-by-step explanation:

48, 52, 57, 61, 64, 72, 76, 77, 81, 85, 88

the middle number is 72

Answer:

Um it’s (1,0) right?

Step-by-step explanation:

Answer:

y = 7

Step-by-step explanation:

hope this helps

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:

3 doors needed

Step-by-step explanation:

The computation of the no of trucks doors that are needed is shown below:

= serve daily ÷ no of store orders ÷ no of store orders

= 50 ÷ 4 ÷ 4

= 3 doors needed

First we divided the serve daily from the no of store orders and then the value that comes so it would be divided by no of store orders again so that the no of truck doors could come