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2 years ago

The triangles are similar solve for x.

Mathematics

2 answers:

AlladinOne [14]2 years ago

7 0

Answer:

2.5

Step-by-step explanation:

12 -> 6
so the triangle on the left is dilated 2x the triangle on the right

5 -> 2.5

dezoksy [38]2 years ago

5 0

12 ➡️ 6

(12/2 = 6)

5/2 = X

X= 2.5

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In a particular game, a fair die is tossed. If the number of spots showing is either four or five, you win $1. If the number of

TiliK225 [7]

Answer:

The probability that you win at least $1 both times is 0.25 = 25%.

Step-by-step explanation:

For each game, there are only two possible outcomes. Either you win at least $1, or you do not. Games are independent. 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.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

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

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Probability of winning at least $1 on a single game:

The die has 6 sides.

If it lands on 4, 5 or 6(either of the three sides), you win at least $1. So

$p = \frac{1}{2} = 0.5$

You are going to play the game twice.

This means that $n = 2$

The probability that you win at least $1 both times is

This is P(X = 2).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{2,2}.(0.5)^{2}.(0.5)^{2} = 0.25$

The probability that you win at least $1 both times is 0.25 = 25%.

4 0

2 years ago

Two friends Vicky and Micky start a business together. They decided to share their capitals depending up on the variable expendi

elixir [45]

Answer:

a- x = 5/3, or x = -7/2

b- 675

c - 5·x + 2

Step-by-step explanation:

The polynomial representing the capital of the two partners = 6·x² + 11·x - 35

a. The total share is the capital of the two partners together = 6·x² + 11·x - 35

∴ When their total share is equal to 0, we have;

6·x² + 11·x - 35 = 0

Factorizing the above equation with a graphing calculator gives;

(3·x - 5)·(2·x + 7)

Therefore;

x = 5/3, or x = -7/2

b- The total expenditure, when x = 10 is given by substituting the value of <em>x </em>in the polynomial 6·x² + 11·x - 35, as follows;

When x = 10

6·x² + 11·x - 35 = 6 × 10² + 11 × 10 - 35 = 675

The total expenditure of Vicky and Micky when x = 10 is 675

c - The sum of their expenditure is (3·x - 5) + (2·x + 7) = 5·x + 2

7 0

2 years ago

SImplify the equation .. PLS HELP ME

Georgia [21]

Answer:

reeee

Step-by-step explanation:

6 0

2 years ago

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woman works out by running and swimming. When she runs, she burns 7 calories per minute. When she swims, she burns 8 calories pe

RSB [31]

An inequality to model this would be

7x + 8y ≥ 336.

We multiply the number of minutes running, x, by the number of calories burned each minute by running, 7. We multiply the number of minutes swimming, y, by the number of calories burned each minute by swimming, 8. Adding these together, it needs to be greater than or equal to 336, since she wants to burn at least that many calories.

8 0

2 years ago

Find m Fraction form

Firlakuza [10]

Answer:

130

Step-by-step explanation:

6 0

3 years ago