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3 years ago

Which is a zero of the quadratic function f(x) = 16x^2 + 32x − 9?

Mathematics

1 answer:

ycow [4]3 years ago

3 0

Answer:

x=1/4

Step-by-step explanation:

f(1/4)=0

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What are the steps and answer

amm1812

Answer:

Trust me it’s I disagree

Step-by-step explanation:

So you have to use the Pythagorean Theorum which is $a^2+b^2=c^2$ and in this case a is 70 and b is 40.

So if we plug those numbers in we have to square a and b and add them which is 6,500 and to find c we have to find the square root of 6500 which is about 80 so lines PR and QR are different

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4 years ago

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Find the missing side of each triangle. Round your answers to the nearest tenth if necessary.

navik [9.2K]

Answer:

15.5 because you have to take away some point

Step-by-step explanation:

you can do 15.8 +5.3 and that would make 21 - 15 and makes 6 so you can round 15.8 to 16 and then you subtract to make 10 then you add 5

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2 years ago

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An automated egg carton loader has a 1% probability of cracking an egg, and a customer will complain if more than one egg per do

vaieri [72.5K]

Answer:

a) Binomial distribution B(n=12,p=0.01)

b) P=0.007

c) P=0.999924

d) P=0.366

Step-by-step explanation:

a) The distribution of cracked eggs per dozen should be a binomial distribution B(12,0.01), as it can model 12 independent events.

b) To calculate the probability of having a carton of dozen eggs with more than one cracked egg, we will first calculate the probabilities of having zero or one cracked egg.

$P(k=0)=\binom{12}{0}p^0(1-p)^{12}=1*1*0.99^{12}=1*0.886=0.886\\\\P(k=1)=\binom{12}{1}p^1(1-p)^{11}=12*0.01*0.99^{11}=12*0.01*0.895=0.107$

Then,

$P(k>1)=1-(P(k=0)+P(k=1))=1-(0.886+0.107)=1-0.993=0.007$

c) In this case, the distribution is B(1200,0.01)

$P(k=0)=\binom{1200}{0}p^0(1-p)^{12}=1*1*0.99^{1200}=1* 0.000006 = 0.000006 \\\\ P(k=1)=\binom{1200}{1}p^1(1-p)^{1199}=1200*0.01*0.99^{1199}=1200*0.01* 0.000006 \\\\P(k=1)= 0.00007\\\\\\P(k\leq1)=0.000006+0.000070=0.000076\\\\\\P(k>1)=1-P(k\leq 1)=1-0.000076=0.999924$

d) In this case, the distribution is B(100,0.01)

We can calculate this probability as the probability of having 0 cracked eggs in a batch of 100 eggs.

$P(k=0)=\binom{100}{0}p^0(1-p)^{100}=0.99^{100}=0.366$

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3 years ago

What is the slope-intercept equation for the line below

jek_recluse [69]

Step-by-step explanation:

slope/gradient

1 - (-4) / 4 - 0 = 5/4

y-intercept is -4 (this is the dot on y)

so the line equation is

y = 5/4x - 4 answer d

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3 years ago

Which of the following describes the correct process for solving the equation 3x + 6 = 21 and arrives at the correct solution?

kozerog [31]

I think the answer is D.

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3 years ago