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3 years ago

Find f(-5), if f(x) = -x^2 - 2x+1

Mathematics

2 answers:

weeeeeb [17]3 years ago

4 0

Simple as subbin' in -5 for x.
f(-5) = -(-5)² - 2(-5) + 1
= -25 + 10 + 1
= -14

STALIN [3.7K]3 years ago

3 0

F(x) = -x² - 2x + 1

f(-5) = -(-5)² - 2(-5) + 1

f(-5) = -25 + 10 + 1

f(-5) = -15 + 1

f(-5) = -14

-14 <----- answer

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Jennifer has $50 in her bank account. She deposits $15 per week. Write a linear

Romashka [77]

Answer:

y=-15x+50

Step-by-step explanation:

You originally had 50 dollars, so +50. Then, it decreases at a rate of 15 every week, so -15x.

Y is the total number of money she has.

y= -15x+50

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3 years ago

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You have been hired as the quality control office of a pharmaceutical company that manufactures aspirin tablets. According to th

Firlakuza [10]

Answer:

$P(X=0)=(24C0)(0.04)^0 (1-0.04)^{24-0}=0.375413$

$P(X=1)=(24C1)(0.04)^1 (1-0.04)^{24-1}=0.$

So then the probability that the batch would be accepeted is:

$0.375413+0.375413=0.7508$

Step-by-step explanation:

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=24, p=0.04)$

On this case p=0.04 represent the probability that a random the tablet would be NOT accepted

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

They accept the batch if there is only one or no tablet that doesn’t meet the test specification, so let's find the individual probabilities for this case:

$P(X=0)=(24C0)(0.04)^0 (1-0.04)^{24-0}=0.375413$

$P(X=1)=(24C1)(0.04)^1 (1-0.04)^{24-1}=0.$

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2 years ago

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Aliun [14]

For example, Pi, which is 3.14159265359...

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3 years ago

I WILL GIVE BRAINLIEST FOR Correct Answer

VladimirAG [237]

Part A) Find BC, the distance from Tower 2 to the plane, to the nearest foot.

in the triangle ACD
sin16=CD/(7600+BD)--------> CD=sin16*(7600+BD)---------> equation 1

in the triangle BCD
sin24=CD/BD-----------> CD=sin24*BD---------------> equation 2
equation 1=equation 2
sin16*(7600+BD)=sin24*BD-----> sin16*7600+sin16*BD=sin24*BD
sin24*BD-sin16*BD=sin16*7600----> BD=[sin16*7600]/[sin24-sin16]
BD=15979 ft

in the triangle BCD
cos24=BD/BC---------> BC=BD/cos24-------> 15979/cos24-------> 17491
BC=17491 ft

the answer part 1) BC is 17491 ft

Part 2) Find CD, the height of the plane from the ground, to the nearest foot.

CD=sin24*BD ( remember equation 2)
BD=15979 ft
CD=sin24*15979 -----------> CD=6499 ft

the answer part 2) CD is 6499 ft

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