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4 years ago

Help me please question is attached in photo below

Mathematics

1 answer:

lora16 [44]4 years ago

4 0

Answer:

P = 4x - 2

Step-by-step explanation:

Perimeter is all the side lengths added together.

Step 1: Set up expression

P = 2x - 5 + 5 - x + 3x - 2

Step 2: Combine like terms

P = 4x - 2

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Evaluate the expression 9

Sindrei [870]

Answer:

Step-by-step explanation:

9/3

5 0

3 years ago

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Determine wether 16 is the perfect square show proof

enot [183]

Answer:

Therefore, the square root of 16 is an integer, and as a consequence 16 is a perfect square.

As a consequence, 4 is the square root of 16.

Step-by-step explanation:

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 16 is 4.

Therefore, the square root of 16 is an integer, and as a consequence 16 is a perfect square.

As a consequence, 4 is the square root of 16.

5 0

4 years ago

An honest die is rolled. If the roll comes out even (2, 4, or 6), you will win $1; if the roll comes out odd (1,3, or 5), you wi

jenyasd209 [6]

Answer:

(a) 50%

(b) 47.5%

Step-by-step explanation:

According to the honest coin principle, if the random variable X denotes the number of heads in n tosses of an honest coin (n ≥ 30), then X has an approximately normal distribution with mean, $\mu=\frac{n}{2}$ and standard deviation, $\sigma=\frac{\sqrt{n}}{2}$ .

Here the number of tosses is, n = 2500.

Since n is too large, i.e. n = 2500 > 30, the random variable X follows a normal distribution.

The mean and standard deviation are:

$\mu=\frac{n}{2}=\frac{2500}{2}=1250\\\\\sigma=\frac{\sqrt{n}}{2}=\frac{\sqrt{2500}}{2}=25$

(a)

To not lose any money the even rolls has to be 1250 or more.

Since, μ = 1250 it implies that the 50th percentile is also 1250.

Thus, the probability that by the end of the evening you will not have lost any money is 50%.

(b)

If the number of "even rolls" is 1250, it implies that the percentile of 1250 is 50th.

Then for number of "even rolls" as 1300,

1300 = 1250 + 2 × 25

= μ + 2σ

Then P (μ + 2σ) for a normally distributed data is 0.975.

⇒ 1300 is at the 97.5th percentile.

Then the area between 1250 and 1300 is:

Area = 97.5% - 50%

= 47.5%

Thus, the probability that the number of "even rolls" will fall between 1250 and 1300 is 47.5%.

(c)

To win $100 or more the number of even rolls has to at least 1300.

From part (b) we now 1300 is the 97.5th percentile.

Then the probability that you will win $100 or more is:

P (Win $100 or more) = 100% - 97.5%

= 2.5%.

Thus, the probability that you will win $100 or more is 2.5%.

7 0

3 years ago

How do you solve this question? you need to find the gradient of the straight line

pshichka [43]

Answer:

$m=\frac{1}{2}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (0, 3)

Point (10, 8)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute [SF]: $m=\frac{8-3}{10-0}$
Subtract: $m=\frac{5}{10}$
Simplify: $m=\frac{1}{2}$

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3 years ago

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A store hands out 900 reward cards. Customers scan their cards in the store to find out what reward they receive. The probabilit

natima [27]

Answer:

75 customers

Step-by-step explanation: Given that

there are 900 gift card

1/12 of them are worth $25,

then the number of customers that received $25 will be 1/12 of 900. That is

1/12 × 900 = 75 customers

5 0

4 years ago