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3 years ago

What is the output value for the following function if the input value is 5?

2 answers:

6 0

If you would like to find the output value for the following function if the input value is 5, you can calculate this using the following steps:

input value ... 5
y = 4x - 3 = 4 * 5 - 3 = 20 - 3 = 17

The correct result would be 17.

Bad White [126]3 years ago

5 0

Answer:

17 hopes this helps.........:3

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X is normally distributed with a mean of 100 and a standard deviation of 15. What is the probability of randomly sampling a scor

VikaD [51]

Answer:

Using calculator: 0.0415

Using Z-score Table: 0.0418

Step-by-step explanation:

There are two ways you can solve this problem.

1. Use the normal distribution function on a calculator.

Entered values:

Lower Limit: 126

Upper Limit: 999999999999999... (To encompass all the data)

Standard Deviation: 15

Mean: 100

2. Find the Z score and look up probabilities on table.

Formula for Z score:

$Z=\frac{x-mean}{standard deviation} \\\\Z= \frac{126-100}{15}=1.7333...$

Z = 1.7333

This means that the value 126 is 1.733 standard deviations away from the mean. We can look this value up on the Z table to find its corresponding probability.

This will show us the probability of the random sampling being equal to or lower than 126.

P = 0.9582

So to find the probability of it being above, we simply just calculate the inverse as all probabilities on the curve = 1.

1-0.9582 = 0.0418

NOTE: Values found from the table will usually be a bit different from if you find it from a calculator, the one you need will depend on the method you use in class.

Hope this helped!

6 0

2 years ago

EASY MATH NEED HELP BC I FORGOT HOW TO DO IT LOL

emmainna [20.7K]

Answer:

4x+10

Hope I Helped

8 0

3 years ago

The graph of a function f(x) is shown below:

timama [110]

The domain is the set of first numbers of the ordered pairs: {-1, 0, 1, 2}

5 0

3 years ago

I will give 5 points

ikadub [295]

Use the sum of cubes factoring rule

$a^3 + b^3 = (a+b)(a^2 - ab + b^2)$

to transform the left hand side into the right hand side.

$\frac { \sin^{3} \theta + \cos^{3} \theta } { \sin \theta + \cos \theta } = 1 - \sin \theta \cdot \cos \theta\\\\\frac { (\sin \theta + \cos \theta)(\sin^2 \theta - \sin \theta \cdot \cos\theta + \cos^2 \theta) } { \sin \theta + \cos \theta } = 1 - \sin \theta \cdot \cos \theta\\\\$

$\sin^2 \theta - \sin \theta \cdot \cos\theta + \cos^2 \theta = 1 - \sin \theta \cdot \cos \theta\\\\(\sin^2 \theta + \cos^2\theta)- \sin \theta \cdot \cos\theta = 1 - \sin \theta \cdot \cos \theta\\\\1- \sin \theta \cdot \cos\theta = 1 - \sin \theta \cdot \cos \theta \ \ \checkmark\\\\$

Throughout the entire process, the right hand side stayed the same.

On the last step, I used the pythagorean identity.

8 0

2 years ago

Please help, been stuck on this for ages!

marishachu [46]

Answer:

$\boxed {192 cm^{2}}$

Step-by-step explanation:

Find the volume of separate cuboids :

Volume (top cuboid) :

⇒ V = 2 x 6 x (10 - 2)

⇒ V = 12 x 8

⇒ V = 96 cm²

Volume (lower cuboid) :

⇒ V = 8 x 6 x 2

⇒ V = 48 x 2

⇒ V = 96 cm²

Volume (prism) :

⇒ 96 + 96

⇒ 192 cm²

8 0

2 years ago