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2 years ago

Find the circumference r = 5 cm c [?] cm c=d

Mathematics

1 answer:

ElenaW [278]2 years ago

3 0

Step-by-step explanation:

radius of circle =5 cm

circumference of a circle =2πr

=2π×5

=10π=10×3.14

circumference=31.4 cm

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Solve x^2+ 8x- 6=0 using the Quadratic Formula

CaHeK987 [17]

Answer:

x=−4+√22 or x=−4−√22

Step-by-step explanation:

Substitute all values in the quadratic formula.

Solve.

6 0

3 years ago

Read 2 more answers

Which shows the correct substitution of the values a, b, and c from the equation 1 = -2x + 3x² + 1 into the quadratic

antoniya [11.8K]

The coefficient 'a' for the quadratic term is a = 3
The coefficient 'b' for the linear term is b = -2
The coefficient 'c' is 0
Step-by-step explanation :
The given expression is,

To solve this problem we are using quadratic formula.
The general quadratic equation is,

Formula used :

Now we a have to solve the above equation and we get the value of 'x'.

a = 3, b = -2, c = 0

The coefficient 'a' for the quadratic term is a = 3
The coefficient 'b' for the linear term is b = -2
The coefficient 'c' is 0

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2 years ago

Dr. David Smith lived 1/13 of his life as a child. He spent 4/39 of his life preparing for an outstanding

stich3 [128]

Answer:

40 14/25 years

Step-by-step explanation:

Well, this certainly is fun.

First, to find the fraction of the doctor's life which 13 years represents, subtract the fractions from 1 (and in this case l stands for lifetime):

$13 = (1 - (\frac{1}{13} + \frac{4}{39} + \frac{1}{2}))(l)$

$13 = (\frac{25}{78})(l)$

So, multiply this equation by the reciprocal of 25/78 to isolate one of l:

$13(\frac{78}{25}) = l$

$l = 40\frac{14}{25}$ years

4 0

2 years ago

Solve for x 3(x+2)+4=5x+7

GaryK [48]

Distribute: 3x+6+4=5x+7
Simplify: 3x+10=5x+7
Subtract 3x from both sides: 10=2x + 7
Subtract 7 from both sides: 3=2x
Divide by 2: x=3/2

x=3/2

3 0

3 years ago

The National Center for Health Statistics (NCHS) reports that 70%70% of U.S. adults aged 6565 and over have ever received a pneu

Marianna [84]

Answer:

11.44% probability that exactly 12 members of the sample received a pneumococcal vaccination.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they received a pneumococcal vaccination, or they did not. The probability of an adult receiving a pneumococcal vaccination is independent of other adults. 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.

70% of U.S. adults aged 65 and over have ever received a pneumococcal vaccination.

This means that $p = 0.7$

20 adults

This means that $n = 20$

Determine the probability that exactly 12 members of the sample received a pneumococcal vaccination.

This is P(X = 12).

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

$P(X = 12) = C_{20,12}.(0.7)^{12}.(0.3)^{8} = 0.1144$

11.44% probability that exactly 12 members of the sample received a pneumococcal vaccination.

3 0

3 years ago