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2 years ago

Write an expression with parentheses (don’t simplify!) to represent the following quantity:

Mathematics

2 answers:

lyudmila [28]2 years ago

5 0

Answer:

see explanation

Step-by-step explanation:

Express as per statement

$\frac{170}{(25+9)}$

spin [16.1K]2 years ago

5 0

Answer:

See below.

Step-by-step explanation:

The sum of 25 + 9 is written in parentheses ;- (25 + 9).

This is divided into 170 so the expression is 170 / (25 + 9).

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Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally

sasho [114]

Answer:

a) $P(X$

$P(z$

b) $P(X>7.0)=P(\frac{X-\mu}{\sigma}>\frac{7-\mu}{\sigma})=P(Z1.47)$

$P(z>1.47)=1-P(z$

c) $P(3$

$P(-0.882$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the thickness of a population, and for this case we know the distribution for X is given by:

$X \sim N(4.5,1.7)$

Where $\mu=4.5$ and $\sigma=1.7$

We are interested on this probability

$P(X$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X$

And we can find this probability using excel or the normal standard table:

$P(z$

Part b

We are interested on this probability

$P(X>3.0)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X>7.0)=P(\frac{X-\mu}{\sigma}>\frac{7-\mu}{\sigma})=P(Z1.47)$

And we can find this probability using excel or the normal standard table:

$P(z>1.47)=1-P(z$

Part c

$P(3$

And we can find this probability using excel or the normal standard table liek this:

$P(-0.882$

3 0

2 years ago

What is the leading coefficient of a third degree function that has an output of 221 when x=2, and has zeros of −15, 3i, and −3i

Vinil7 [7]

Answer:

Step-by-step explanation:

The function with the given zeros will factor as ...

f(x) = a(x +15)(x^2 +9) . . . . with leading coefficient 'a'

You have ...

f(2) = 221 = a(2+15)(2^2+9) = a(17)(13) = 221a

Then a = 221/221 = 1

The leading coefficient is 1.

_____

<em>Additional comment</em>

As you know, a function with zero x=p has a factor of (x -p). The given zeros mean the function has factors (x -(-15)), (x -3i). and (x -(-3i)). The product of the last two factors is the difference of squares: (x^2 -(3i)^2) = (x^2 -(-9)) = (x^2 +9). This is how we arrived at the factorization shown above.

3 0

2 years ago

HELPPPP PLEASEEEEEEEEWEE HELPPPPPPPP

Nookie1986 [14]

Answer:

calculate the rise over the run.

therefore, it's -8/7

Topic: coordinate geometry

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

4 0

2 years ago

Read 2 more answers

the slope of the line below is -1. write the point-slope equation of the line using the coordinates of the labeled point. (7, -7

Doss [256]

Answer:

y + 7 = -(x - 7)

Step-by-step explanation:

point slope is written in the form y - y₁ = m(x - x₁)

substitute -1 for m, 7 for x₁ and -7 for y₁

4 0

2 years ago

Function or non function !!

Phoenix [80]

Answer:

not a fucton

Step-by-step explanation: because i got it right

5 0

2 years ago