Hello,
2x+1=x(2+0)
True or false???????

Answer:

99.7%

Step-by-step explanation:

99.7% of boys fall between 61.5 and 76.5

The percentage of the boys that are between 61.5 and 76.5 inches tall is 99.73%

The given parameters are:

Start by calculating the z score for x = 61.5 and 76.5 using:

[tex]z = \frac{x - \mu}{\sigma}[/tex]

So, we have:

[tex]z_1 = \frac{61.5 - 69}{2.5} = -3[/tex]

[tex]z_2 = \frac{76.5 - 69}{2.5} = 3[/tex]

The percentage is then represented as:

Percentage = P(-3 < x < 3)

Using the z table of probabilities, we have:

Percentage = 0.9973

Express as percentage

Percentage = 99.73%

Hence, 99.73% of the boys are between 61.5 and 76.5 inches tall

Read more about normal distribution at:

https://brainly.com/question/4079902

#SPJ9

First,

tan(θ) = sin(θ) / cos(θ)

and given that 90° < θ < 180°, meaning θ lies in the second quadrant, we know that cos(θ) < 0. (We also then know the sign of sin(θ), but that won't be important.)

Dividing each part of the inequality by 2 tells us that 45° < θ/2 < 90°, so the half-angle falls in the first quadrant, which means both cos(θ/2) > 0 and sin(θ/2) > 0.

Now recall the half-angle identities,

cos²(θ/2) = (1 + cos(θ)) / 2

sin²(θ/2) = (1 - cos(θ)) / 2

and taking the positive square roots, we have

cos(θ/2) = √[(1 + cos(θ)) / 2]

sin(θ/2) = √[(1 - cos(θ)) / 2]

Then

tan(θ/2) = sin(θ/2) / cos(θ/2) = √[(1 - cos(θ)) / (1 + cos(θ))]

Notice how we don't need sin(θ) ?

Now, recall the Pythagorean identity:

cos²(θ) + sin²(θ) = 1

Dividing both sides by cos²(θ) gives

1 + tan²(θ) = 1/cos²(θ)

We know cos(θ) is negative, so solve for cos²(θ) and take the negative square root.

cos²(θ) = 1/(1 + tan²(θ))

cos(θ) = - 1/√[1 + tan²(θ)]

Plug in tan(θ) = - 12/5 and solve for cos(θ) :

cos(θ) = - 1/√[1 + (-12/5)²] = - 5/13

Finally, solve for sin(θ/2) and tan(θ/2) :

sin(θ/2) = √[(1 - (- 5/13)) / 2] = 3/√(13)

tan(θ/2) = √[(1 - (- 5/13)) / (1 + (- 5/13))] = 3/2

Answer:

$3.50

Step-by-step explanation:

14 is double 7

So the price should be double

1.75 x 2 = 3.5

(Assuming there's no base fee and the charge is purely for minutes)

Answer:

There is nothing here?

Step-by-step explanation:

Answer:

[tex]f(x) = \frac{x + 1}{4}[/tex]

Step-by-step explanation:

To inverse the function switch the places of x and y like this:

x = 4y - 1

Now, solve for y:

[tex]x + 1 = 4y\\\frac{x + 1}{4} = y[/tex]

It's that easy!

I hope this helps!!

- Kay :)

Answer:

C. x = √61

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use PT to solve for the missing length.

Step 2: Identify Variables

Leg a = 6

Leg b = 5

Hypotenuse c = x

Step 3: Solve for x

Answer: 61

Step-by-step explanation:

25+36=x

61=x

x=61

Answer:

The domain: {-3, 0, 3}

The range: {-6, 0, 6}

Therefore, option (a) is correct.

Step-by-step explanation:

Given the table

x    -3      0      3

y     -6     0      6

Determining the Domain:

Therefore, the domain: {-3, 0, 3}

Determining the Range:

Therefore, the range: {-6, 0, 6}

Therefore, we conclude that option (a) is correct.

Let the parts be 2x, 3x and 5x.

Sum= 25000

Therefore,2x+3x+5x=25000

10x=25000

x=25000/10

x=2500

Therefore, parts:-

1. 2×2500=5000

2. 3×2500=7500

3. 5×2500=12500

Answer:

5000, 7500, 12500

Step-by-step explanation:

[tex]2 + 3 + 5 = 10[/tex]

[tex]25000[/tex] ÷ [tex]10[/tex] = [tex]2500[/tex]

[tex]2500[/tex] × [tex]2 = 5000[/tex]

[tex]2500[/tex] × [tex]3 = 7500[/tex]

[tex]2500[/tex] × [tex]5 = 12500[/tex]

[tex]\therefore[/tex] [tex]25000[/tex] will split into [tex]5000[/tex], [tex]7500[/tex], and [tex]12500[/tex].

To check if the answer is correct, you can add the values up and see if they sum up to [tex]25000[/tex]:

[tex]5000 + 7500 + 12500 = 25000[/tex]

Hope this helps :)

Answer:

32x^2+68x+21

Step-by-step explanation:

Answer:

32x^2+68x+21

Step-by-step explanation:

This is right just did this!!

Answer:

I think that it would be 9 because it is less than ten and can be divided equally by 3.

Step-by-step explanation:

Answer:

x>5490

x

​​ >61

x>61×90

x>5490