(15 points) Which expression has a value of 5 x 10^-3

The probability that a student chosen randomly from the class has a sister, in a class of 25 students, is 2/5.

For two events A and B, we have:

Probability that event A or B occurs = Probability that event A occurs + Probability that event B occurs - Probability that both the event A and B occur simultaneously.

This can be written symbolically as:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

For three events, A, B and C:

[tex]P(A \cup B \cup C) = P(A) + P(B) + P(C) - P(A\cap B) - P(A \cap C) - P(B \cap C) + P(A \cap B \cap C)[/tex]

In a class of 25 students, 16 have a brother and 10 have a sister. There are 6 students who have a brother and a sister.

Let A is event of a student having a brother and B is event of a student having a sister.

The probability of event A is,

[tex]P(A)=\dfrac{16}{25}[/tex]

The probability of event B is,

[tex]P(B)=\dfrac{10}{25}\\P(B)=\dfrac{2}{5}[/tex]

The probability of occurrence of both event A and B together,

[tex]P(A\cap B)=\dfrac{6}{25}[/tex]

Thus, the probability that a student chosen randomly from the class has a sister, in a class of 25 students, is 2/5.

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Answer:

La longitud del lado del octágono es de 28 unidades.

Step-by-step explanation:

Si las longitudes de los dos lados pertenecen a un octágono regular, entonces se satisface la siguiente condición:

[tex]2\cdot x + 4 = 3\cdot x - 8[/tex] (1)

A continuación, despejamos [tex]x[/tex] en (1):

[tex]3\cdot x - 2\cdot x = 4 + 8[/tex]

[tex]x = 12[/tex]

Ahora, determinamos la longitud del lado del octágono: ([tex]x = 12[/tex])

[tex]l = 2\cdot x + 4[/tex]

[tex]l = 28[/tex]

La longitud del lado del octágono es de 28 unidades.

Answer:

Step-by-step explanation:

What is 2 units up and 0 to the right from (-4,2).

Answer:

(-4,4)

Step-by-step explanation:

Answer:

25 cups of tea

Step-by-step explanation:

On the x-axis, we have the number of cups of coffee plotted against the number of cups of tea which are plotted on the y-axis to represent the daily sales goals.

From the graph, when 20 cups of coffee are sold (x = 20), a corresponding sales of 25 cups of tea (y = 25) would be sold as well to meet the sales goal.

Therefore, when employees sell 20 cups of coffee, 25 cups of tea must be sold to meet their goal.

Answer:

Perimeter of the entire shape is 114.24

Step-by-step explanation:

Use pi x diameter of the semicircle divided by 2 + the diameter to find the perimeter of one semicircle. There are 4 semi circles so you multiply this by 4. Then you take the perimeter of the inside 8x4 = 32. Add them all together to get 114.24

Answer:

Perimeter of the entire shape is 114.24

Step-by-step explanation:

Use pi x diameter of the semicircle divided by 2 + the diameter to find the perimeter of one semicircle. There are 4 semi-circles so you multiply this by 4. Then you take the perimeter of the inside 8x4 = 32. Add them all together to get 114.24

Answer:

Angle A = 56° check the attachment for detailed solution

Answer:

14√6.

Step-by-step explanation:

√54 = √9√6 = 3√6

√486 = √81 √6 = 9√6.

√24 = √4√6 = 2√6.

So √54 + √486 + √24

= 3√6 + 9√6 + 2√6

= 14√6.

use symolab its super easy

Answer:

a=16n+27

Step-by-step explanation:

Answer:

y=5x-3

Step-by-step explanation:

slope is 5, plug in (1,2) for x and y to find b

Answer:

point x

Step-by-step explanation:

it's like the positive side of the line, but in reverse. with negatives, the higher the number the lower it is and since 3.3 is bigger than 2 it would be closer to 4

Answer:

x = 2

Step-by-step explanation:

x2 + 6x - 13 = 3

first you add 13 to other side and get

x2 + 6x = 16

next you combine x's

8x = 16

then you divde the 8x by 16

and you get x = 2

Answer:

39.6 cm²

Step-by-step explanation:

The formula for the area of a trapezoid is given as:

Area of a Trapezoid = 1/2(a + b) h

Where, from the question:

a = 8.9 cm

b = 5.5 cm

h = 5.5cm

Hence,

1/2 (8.9cm + 5.5cm) × 5.5cm

= 1/2 × 14.4 cm × 5.5 cm

= 39.6 cm²

Area of the Trapezoid = 39.6 cm²

Answer:

56.52 cm^2

Step-by-step explanation:

curved surface area = 2πrh

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

10 / 2 = 5

2 x 3.14 x5 x 18 = 56.52 cm^2

Answer:

4/11 (I think I'm not sure. I'm sorry if I'm wrong)

Step-by-step explanation:

Answer:The coordinates of point P are -8, -4.

Step-by-step explanation:

Answer:

The coordinate of P is -8, -4

Step-by-step explanation:

Answer:

0 as an exponent would look something like 6^0 and anything to the power of 0 is always 1

Answer: 2880

Step-by-step explanation:

Answer:

4/7

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\sqrt{}[/tex]A ^ 2 + B ^2 = C ^2 for hypotenuse

20^2 + 5^2 = C

400+25 = 425

[tex]\sqrt{425}[/tex] = 20.61

20.61 is hypotenuse.

X = 180 - 20.61 = 159.39

Hope that helps

Answer:

a) A

b) A

c) B

c) B

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

since its more than 90 dgree

Answer:

mhm!! ur right < 3

Step-by-step explanation:

Answer:

24,831.28

Step-by-step explanation:

Brainliest pls

Answer:

t = 16.6

Step-by-step explanation:

In the formula:

[tex]a = p(1 + r )^{t} [/tex]

A is the final amount, in this case is 11500 people. P is the initial amount, in this case is 6500 people. r is the growth rate, which in this case is 0.035 - we have to express it s a decimal, not a percent. And finally t is the time, which is the variable we want to find.

Let's clear t first and replace all these values at the end. To clear t we have to leave only the factor which exponent is t on one side of the equation. To do this we have to divide both sides by P:

[tex] \frac{a}{p} = \frac{p}{p} (1 + r) ^{t} \\ \frac{a}{p} = (1 + r)^{t} [/tex]

Now we have to use the following rule for the exponents and logarithms:

[tex] {a}^{x} = b[/tex]

Apply logarithms on both sides:

[tex]log( {a}^{x}) = log(b)[/tex]

By the exponents rule of logarithms

[tex]x \: log(a) = log(b)[/tex]

For this problem we have:

[tex]log \frac{a}{p} = log(1 + r)^{t} \\ log \frac{a}{p} =t \: . \: log(1 + r)[/tex]

Now we have to divide both sides by log(1+r) to clear t:

[tex]log \frac{a}{p} = t \: . \: \frac{log(1 + r)}{log(1 + r)} \\ t = \frac{log \: \frac{a}{p} }{log(1 + r)} [/tex]

And finally we just have to replace the values into this equation we found: A = 11500, P = 6500 and r = 0.035:

[tex]t = log \: \frac{11500}{6500} \\ log(1 + 0.035) \\ log \: \frac{23}{13} \\ t = log \: 1.035 \\ t = 16.6[/tex]

Answer:

Probability of Sarah NOT selecting a mystery book  = 0.67

Step-by-step explanation:

Probability helps to show how likely an event will occur;

The probability an event will not occur can be obtained by subtracting the probability that the event will occur from 1.

We can take this route to solve this problem

The probability of picking an option from a broad list of alternatives can be calculated using the formula:

Probability = number of expected outcomes/ total number of options

For our problem, there are only 6 mystery books on the shelf. Hence, the number of expected outcomes is = 6. Sarah cannot pick any more than 6 mystery books, and any mystery book she picks will be from that lot.

The total number of options refers to the total number of books available to pick from; whether mystery, science history, and adventure.

We can get this by adding 6 + 5 + 4 + 3 = 18

Probability of Sarah selecting a mystery book = 6/18

Probability of Sarah NOT selecting a mystery book = 1 - (6/18) = 0.67

Answer:

19 x 11 = 209

4 x 3 = 12

7 x 5 = 35

35 + 12 + 209 = 256

Answer:

100 i think

Step-by-step explanation:

Boba all the way, it is delicious and I can't live without it