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lyudmila [28]
3 years ago
10

Janaina is trying to solve the following equation by completing the square: x^2+18x-9 = 0.She successfully rewrites the above eq

uation in the following form: (x + b)^2 = c,where b and c are integers. What is the value of c?
Mathematics
1 answer:
valentinak56 [21]3 years ago
3 0
The Answer Is :
c = x^2 + 2bx + b^2
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A machine making computer chips isn't working correctly, and 5% of the computer chips it makes are defective. If an inspector ch
Rainbow [258]

Answer:

0.25% probability that they are both defective

Step-by-step explanation:

For each computer chip, there are only two possible outcomes. Either they are defective, or they are not. The probability of a computer chip being defective is independent of other chips. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

5% of the computer chips it makes are defective.

This means that p = 0.05

If an inspector chooses two computer chips randomly (meaning they are independent from each other), what is the probability that they are both defective?

This is P(X = 2) when n = 2. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{2,2}.(0.05)^{2}.(0.95)^{0} = 0.0025

0.25% probability that they are both defective

4 0
3 years ago
How do you turn fractions into decimals?
Anvisha [2.4K]
Step 1: Find a number you can multiply by the bottom of the fraction to make it 10, or 100, or 1000, or any 1 followed by 0s.

Step 2: Multiply both top and bottom by that number.

Step 3. Then write down just the top number, putting the decimal point in the correct spot (one space from the right hand side for every zero in the bottom number)
7 0
3 years ago
Write each of the mixed numbers below as a fraction greater than one, and write each of the fractions greater
Softa [21]

Answer:

a. 13/3

b. 3 3/4

d. 1 7/8

c. 7/2

Step-by-step explanation:

a. 4 1/3 given

4*3=12 multiply the whole numbers with the denominator

12+1 =13 add the numerator to the product

13/3 put sum over denominator

b. 15/4 given

15/4=3 with a remainder of 3 divide numerator by denominator

3 3/4 rewrite as mixed number

d. 15/8 given

15/8=1 with a remainder of 7 divide numerator by denominator

1 7/8 rewrite as mixed number

c. 3 1/2 given

3*2=6 multiply whole number by denominator

6+1=7 add numerator to product

7/2 put sum over denominator

7 0
2 years ago
Solve it I need help
rusak2 [61]
It opens upward and the vertex is (2,-6) here are some plotted points: (0,6),(1,-3),(2,-6),(3,-3),(4,6). Hope that helps. I hate graphing but if you do it enough times you'll get the hang of it!
6 0
3 years ago
A soup can will have a radius of 4 cm and a
DENIUS [597]

Answer:

<h3>            It's about 365 cm²</h3>

Step-by-step explanation:

2×πr² + 2πr×h =

= 2×π×4² + 2π×4×10.5 =

= 32π + 84π =

= 116π ≈

≈ 364.42 cm²

5 0
3 years ago
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