Supposed U = {-10, -9, -8, -7, -6, -5, -4, -3, -2, -1} is the universal set and K = {-10, -8, -6, -4, -2}. What is K’?

Two boys and three girls are auditioning to play the piano for a school production. Two students will be chosen, one as the pian

finlep [7]

Answer:

30% is the correct answer.

Step-by-step explanation:

Total number of boys = 2

Total number of girls = 3

Total number of students = 5

To find:

Probability that the pianist will be a boy and the alternate will be a girl?

Solution:

Here we have to make 2 choices.

1st choice has to be boy (pianist) and 2nd choice has to be girl (alternate).

$\bold{\text{Required probability }= P(\text{boy as pianist first}) \times P(\text{girl as alternate})}$

Formula for probability of an event E is given as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

For $P(\text{boy as pianist})$ , number of favorable cases are 2 (total number of boys).

Total number of cases = Total number of students i.e. 5

So, $P(\text{boy as pianist})$ is:

$P(\text{boy as pianist}) = \dfrac{2}{5}$

For $P(\text{girl as alternate})$ , number of favorable cases are 3 (total number of girls).

Now, one boy is already chosen as pianist so Total number of cases = Total number of students left i.e. (5 - 1) = 4

$P(\text{girl as alternate}) = \dfrac{3}{4}$

So, the required probability is:

$\text{Required probability } = \dfrac{2}{5}\times \dfrac{3}{4} = \dfrac{3}{10} = \bold{30\%}$

6 0

3 years ago

Roger is a florist who uses a triangular-shaped frame to arrange flower bouquets. He received an order to make a new bouquet suc

kvv77 [185]

The locations specified in the order regarding the shape will be B. longest side AC; smallest angle ∠C.

<h3>How to express the information?</h3>

From the information given, in the triangle where A = 59°, B is unknown, and C = 41°. Therefore, the value of B will be:

= 180° - (59° + 41°)

= 180° - 100°

= 80°

Therefore, the locations specified in the order regarding the shape will be longest side AC; smallest angle ∠C.

In conclusion, the correct option is B.

Learn more about shapes on:

brainly.com/question/25965491

#SPJ1

4 0

2 years ago

15=x/4 - 3 how do i solve

zhuklara [117]

Answer: the answer is x=72

Step-by-step explanation:

Step 1: simplify both sides we know 15=x/4 -3 (the x holds a invisible 1)

the equation should look something Like: 15=1/4x-3 then FLIP the equation such as:

1/4x-3=15 then add 3 on both sides so 15+3=18

step 2: our equation is now 1/4x=18 (we see 4 is being divided the opposite of division is multiply) therefor multiply the 18 with 4

18*4=72 which means x=72

6 0

2 years ago

A piece of wood is 12 feet long and a nail is 3 inches long. The piece of wood is how many times as long as the nail?

Softa [21]

The piece of wood is 48 times as long as the nail (12 feet = 144 inches) because 3 goes into 144 48 times.

7 0

3 years ago

Read 2 more answers

How are angles named?

Mama L [17]

Answer:

Acute angle, right angle, obtuse angle and reflex angle.

Step-by-step explanation:

Acute angle -

0° < θ < 90°

Right angle -

θ = 90°

Obtuse angle -

90° < θ < 180°

Reflex angle -

θ > 180°

4 0

3 years ago