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2 years ago

Find P(x > 120) provided that it is known that

Mathematics

1 answer:

tresset_1 [31]2 years ago

3 0

The probability when x is greater than 120 is 0.0367. Then the correct option is D.

<h3>What is a normal distribution?</h3>

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The mean is 95 and the standard deviation is 14. Then the probability when x > 120 will be

The z-score will be

z = (120 - 95)/ 14

z = 1.7857

Then the probability will be

P(x > 120) = P(z > 1.7857)

P(x > 120) = 1 - P(x<120)

P(x > 120) = 1 - 0.96293

P(x > 120) = 0.0367

More about the normal distribution link is given below.

brainly.com/question/12421652

#SPJ1

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Answer:

Step-by-step explanation:

No, because they wouldn't contain the same amount of sugar per cookie

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2 years ago

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a 28 ft. ladder leaning against a vertical wall makes an angel of 80 degrees with the ground. How far from the base of the wall

worty [1.4K]

Answer:

The ladder is 4.86 foot from the base of the wall .

Step-by-step explanation:

Given as :

The length of the ladder = 28 ft

The ladder makes angle of 80° with the ground

Let The distance of the ladder from the foot of the wall = x ft

Now, From Triangle BAC

Cos angle = $\dfrac{\textrm Base}{\textrm Hypotenuse}$

I.e Cos 80° = $\dfrac{\textrm BA}{\textrm AC}$

Or, 0.1736 = $\dfrac{\textrm x}{\textrm 28}$

Or, x = 0.1736 × 28

∴ x = 4.86 foot

So, The distance of ladder from wall base = x = 4.86 foot

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2 years ago

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Find the surface area of the rectangle prism. 3cm 9cm and 6cm

lisabon 2012 [21]

Answer:

198 cm²

Step-by-step explanation:

We are given the dimensions of a rectangular prism;

3cm 9cm and 6cm

We are required to determine its surface area;

We need to know that;

Surface area of a rectangular prism is given by;

A = 2(WL+HL+WH)

Where L, W and H are length , width and height respectively;

Assuming;

Width is 3 cm

Length is 9 cm, and

Height is 6 cm

Then;

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3 years ago

Hello there can anyone solve this plz (chart is attached):

stich3 [128]

Answer:

$h^\prime(1)=14$

Step-by-step explanation:

We have the function:

$h(x)=f[f(x)]$

And we want to find:

$h^\prime(1)$

So, we will differentiate function <em>h</em>. By the chain rule, this yields:

$h^\prime(x)=f^\prime[f(x)]\cdot f^\prime(x)$

Then it follows that:

$h^\prime(1)=f^\prime[f(1)]\cdot f^\prime(1)$

Using the table, we acquire:

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$h^\prime(1)=7\cdot 2$

Evaluate. Hence:

$h^\prime(1)=14$

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3 years ago