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Dvinal [7]
3 years ago
9

Determine the quadratic equation in standard form of a parabola with a zero at x=5 and vertex ar (-3, 32). start with factored f

orm
a)find the other zero

b) create your factored form equation

c) create your standard form equation ​
Mathematics
1 answer:
elena-s [515]3 years ago
8 0

Answer:

see image...

start with Graphing Form: y = a(x-h)²+ k

knowing that h is the x value (negative of it)  of the vertex , and k is the y value of the vertex

Graphing Form Equation: y =  a(x+3)²+32

you are also given that when the x value is 5 the y value has to be 0

0 = a(4)^2 + 32

a has to be - 1/2    

   

Step-by-step explanation:

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Find the probability of winning a lottery by selecting the correct six integers, where the order in which these inte
stich3 [128]

The probability of winning a lottery by selecting the correct six integers, are

\begin{aligned}&(a) 1.68 \times 10^{-6} \\&(b) 5.13 \times 10^{-7} \\& (c) 1.91 \times 10^{-7} \\&(d)8.15 \times 10^{-8}\end{aligned}

<h3>What is binomial distribution?</h3>

The binomial distribution is a type of probability distribution that expresses the probability that, given a certain set of characteristics or assumptions, a value would take one of two distinct values.

Part (a); positive integers not exceeding 30.

To calculate the probability, use binomial coefficients. Pick six of the six accurate integers and none of the other twenty-four.

\frac{\left(\begin{array}{c}6 \\6\end{array}\right)\left(\begin{array}{c}24 \\0\end{array}\right)}{\left(\begin{array}{c}30 \\6\end{array}\right)}=\frac{1}{\left(\begin{array}{c}30 \\6\end{array}\right)}=1.68 \times 10^{-6}

Part (b); positive integers not exceeding 36.

To calculate the probability, use binomial coefficients. Pick six of the six accurate integers and none of the other thirty.

\frac{\left(\begin{array}{l}6 \\6\end{array}\right)\left(\begin{array}{c}30 \\0\end{array}\right)}{\left(\begin{array}{c}36 \\6\end{array}\right)}=\frac{1}{\left(\begin{array}{c}36 \\6\end{array}\right)}=5.13 \times 10^{-7}

Part (c); positive integers not exceeding 42.

To calculate the probability, use binomial coefficients. Pick six of the six accurate integers and none of the 36 other integers.

\frac{\left(\begin{array}{l}6 \\6\end{array}\right)\left(\begin{array}{c}36 \\0\end{array}\right)}{\left(\begin{array}{c}42 \\6\end{array}\right)}=\frac{1}{\left(\begin{array}{c}42 \\6\end{array}\right)}=1.91 \times 10^{-7}

Part (d); positive integers not exceeding 48.

To calculate the probability, use binomial coefficients. Choose six of the six accurate integers and none of the other 42.

\frac{\left(\begin{array}{l}6 \\6\end{array}\right)\left(\begin{array}{c}42 \\0\end{array}\right)}{\left(\begin{array}{c}48 \\6\end{array}\right)}=\frac{1}{\left(\begin{array}{c}48 \\6\end{array}\right)}=8.15 \times 10^{-8}

To know more about binomial probability, here

brainly.com/question/9325204

#SPJ4

The complete question is-

Find the probability of winning a lottery by selecting the correct six integers, where the order in which these integers are selected does not matter, from the positive integers not exceeding a) 30. b) 36. c) 42. d) 48.

5 0
2 years ago
PLS HELP Find the m∠RLU.<br> A. 10º<br> B. 6º<br> C. 25º<br> D. 50º
balandron [24]

Step-by-step explanation:

6n-10=50

6n=60

n=10

rlu=6n-10

=6×10-10

=60-10

50

8 0
3 years ago
Which linear function represents the table?
erica [24]
The answer is d) -2x-7
8 0
2 years ago
An item costs $300 before tax, and the sales tax is $9.90 . Find the sales tax rate. Write your answer as a percentage.
Step2247 [10]

Answer:

3.33%

Step-by-step explanation:

9.90/300=0.033

8 0
2 years ago
What is 5/6 times 3/10
hichkok12 [17]
That will be;
5/6 x 3/10
15/60
3/12
1/4
  Hope i helped
5 0
3 years ago
Read 2 more answers
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