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sdas [7]
3 years ago
7

In the function y = a(x – h)2 + k

Mathematics
2 answers:
coldgirl [10]3 years ago
8 0

Answer:

h is the horizontal shift

Step-by-step explanation:

y = a(x – h)^2 + k

This is the equation for a parabola in vertex form

The vertex is ( h,k) and it is shifted from (0,0)

h is the horizontal shift and k is the vertical shift

sineoko [7]3 years ago
5 0

Answer:

H

Step-by-step explanation:

<h3>y=a(x-h)2+k</h3><h3 /><h3>a= Vertical stretch or shrinkage</h3>
  • (IaI>1) or (0<a<1)
<h3>h= Horizontal shift</h3>
  • (x-h=0)
  • x=h
<h3>K= Vertical shift</h3>
  • y-value* a+k
  • add k to the "new: values of y
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The space shuttle flight control system called PASS (Primary Avionics Software Set) uses four independent computers working in p
tigry1 [53]

Answer:

f_X(k)=\binom{4}{k}0.003^k0.997^{4-k}

Step-by-step explanation:

Recall that a <em>probability mass function</em> defined on a discrete random variable X is just a function that gives the probability that the random variable equals a certain value k

f_X(k)=P(X=k)

In this case we have the event  

“The computer will ask for a roll to the left when a roll to the right is appropriate” with a probability of 0.003.

Then we have 2 possible events, either the computer is right or not.

Since we have 4 computers in parallel, the situation could be modeled with a binomial distribution and the probability mass function

f_X(k)=\binom{4}{k}0.003^k0.997^{4-k}

This gives the probability that k computers are wrong at the same time.

6 0
3 years ago
A collection of nickels and quarters is worth 2.85 . There are 3 more nickels than quarters how many nickels and quarters are th
Zolol [24]

A nickel is equal to 5 cents or 0.05 dollars.

A quarter is equal to 25 cents or 0.25 dollars.

Let number of nickels be = n

Let number of quarters be = q

0.05n+0.25q=2.85    ...........(1)

As it is given, there are 3 more nickels than quarters so equation becomes,

n=q+3   ................(2)

Plug in the value of 'n' from (2) in (1)

0.05(q+3)+0.25q=2.85

= 0.05q+0.15+0.25q=2.85

0.30q=2.70

q=9

As n=q+3 we get, n=9+3=12

Hence, there are 12 nickels and 9 quarters.

3 0
3 years ago
A falcon flies 300 kilometers per hour. A goose flies 140 kilometers per hour. If a falcon and a goose each fly for 2 hours, how
Mila [183]

Answer:

320

Step-by-step explanation:

Distance covered by falcon in 2 hours=300*2=600 km

Distance covered by goose in 2 hours=140*2=280 km.

Falcon flew 600-280=320 km more than goose

7 0
3 years ago
A group of astronomers observed light coming from a star located a distance of 331,000,000,000,000,000,000,000,000 light-years f
alexdok [17]
To show this number using scientific notation, you will look at where the decimal point is and imagine that in the original number.  Then count the number of place values to the right of this.  That will be the exponent that belongs with the 10 because that is how many place values (groups of 10s) the number has past the decimal point.

The answer is 3.31 x 10^26 light years.  ^ means to the power of.


6 0
3 years ago
Read 2 more answers
Find the simple interest for $3200 invested at 7% for 2 years.
Artemon [7]

Answer:

$448

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 7%/100 = 0.07 per year,

then, solving our equation

I = 3200 × 0.07 × 2 = 448

I = $ 448.00

USE THE EQUATION Interest= Principal x rate x time

3 0
3 years ago
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