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valina [46]
3 years ago
7

Item 16 Solve the equation. −49f=−3

Mathematics
1 answer:
weqwewe [10]3 years ago
4 0
I think the answer is either 3/49 or about 0.061
  hope this helps.
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Georgia is 7 years younger than 5 times the age of her daughter, Veronica. Veronica will be 14 in 6 years. Part A
kobusy [5.1K]

Answer:

Veronica's age now =8 years

Step-by-step explanation:

Veronica's age now = x years

Georgia's age now = 5x  - 7

Veronica age after 6 year = 14

x + 6  = 14

       x  = 14 - 6

       x = 8 years

4 0
3 years ago
Find the pay earned: 33 hours at $5.15 per hour
Inessa [10]
$169.95 

33*5.15=169.95
5 0
3 years ago
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A stationary store has decided to accept a large shipment of ball-point pens if an inspection of 17 randomly selected pens yield
Leno4ka [110]

Answer:

0.762 = 76.2% probability that this shipment is accepted

Step-by-step explanation:

For each pen, there are only two possible outcomes. Either it is defective, or it is not. The probability of a pen being defective is independent from other pens. 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.

17 randomly selected pens

This means that n = 17

(a) Find the probability that this shipment is accepted if 10% of the total shipment is defective. (Use 3 decimal places.)

This is P(X \leq 2) when p = 0.1. So

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)

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

P(X = 0) = C_{17,0}.(0.1)^{0}.(0.9)^{17} = 0.167

P(X = 1) = C_{17,1}.(0.1)^{1}.(0.9)^{16} = 0.315

P(X = 2) = C_{17,2}.(0.1)^{2}.(0.9)^{15} = 0.280

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.167 + 0.315 + 0.280 = 0.762

0.762 = 76.2% probability that this shipment is accepted

8 0
4 years ago
If f(x) = -x + 5 and g(x) = x^2, what is (g° (-1)?
ipn [44]

Answer:

(g\circ f)(-1)=36

Step-by-step explanation:

We are given the two functions:

f(x)=-x+5\text{ and } g(x)=x^2

And we want to find:

(g\circ f)(-1)

This is equivalent to:

=g(f(-1))

So, evaluating f(-1) first, we acquire:

f(-1)=-(-1)+5=6

Then by substitution:

=g(6)

So:

=(6)^2=36

Therefore:

(g\circ f)(-1)=36

Your answer is indeed correct.

7 0
3 years ago
Read 2 more answers
Help <br> me <br> im so lost lol
valentinak56 [21]

Answer: <em>10.2</em>

Step-by-step explanation:

<em>Use the Pythagorean Thoerem</em>

b=\sqrt{c^2-a^2}\\b=\sqrt{15^-11^2}\\b=\sqrt{225-121

b=\sqrt{104}\\\\b=10.2

4 0
3 years ago
Read 2 more answers
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