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3 years ago

Choose the best description of the roots of the equation 3x 2 - 4x + 5 = 0.

1 answer:

7 0

For this case we have the following polynomial:
$3x ^ 2 - 4x + 5 = 0
$
Using the resolver we have:
$x = \frac{-b +/- \sqrt{b^2 - 4ac}}{2a}$
Substituting values we have:
$x = \frac{-(-4) +/- \sqrt{(-4)^2 - 4*3*5}}{2*3} 

$
$x = \frac{4 +/- \sqrt{16 - 60}}{6}$
$x = \frac{4 +/- \sqrt{-44}}{6}$
$x = \frac{4 +/- \sqrt{-4*11}}{6}$
$x = \frac{4 +/- 2\sqrt{-11}}{6}$
$x = \frac{2 +/- \sqrt{-11}}{3}$
$x = \frac{2 +/- i\sqrt{11}}{3}$
Answer:
We observe that the solution to the quadratic equation are two imaginary roots.

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A building contractor is to dig a foundation 45 feet long, 16 feet wide and 6 feet deep. The contractor pays 13 dollars per load

9966 [12]

9514 1404 393

Answer:

160 yd³ must be hauled
$520 is the cost

Step-by-step explanation:

There are 3 feet in a yard, so the volume of the hole is ...

(45 ft)/(3 ft/yd) × (16 ft)/(3 ft/yd) × (6 ft)/(3 ft/yd)

= (15 × 16/3 × 2) yd³ = 160 yd³ . . . volume to be hauled

The cost is $13/(4 yd³), so the total cost will be ...

($13/(4 yd³)) × 160 yd³ = $520 . . . cost of hauling

3 0

2 years ago

It is estimated that approximately 8.23% Americans are afflicted with diabetes. Suppose that a certain diagnostic evaluation for

allsm [11]

The probabilities in this problem are given as follows:

a) False positive: 0.0321 = 3.21%.

b) Diagnosed as not having diabetes: 0.8872 = 88.72%.

c) Actually has diabetes, if diagnosed as not having: 0.0019 = 0.19%.

<h3>What is Conditional Probability?</h3>

Conditional probability is the probability of one event happening, considering a previous event. The formula is given as follows:

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which the parameters are described as follows:

P(B|A) is the probability of event B happening, given that event A happened.

$P(A \cap B)$ is the probability of both events A and B happening.

P(A) is the probability of event A happening.

For item a, we have that:

100 - 8.23 = 91.77% of the people do not have diabetes.

Of those, 3.5% are diagnosed with diabetes.

Hence the probability of a false positive is given as follows:

p = 0.9177 x 0.035 = 0.0321 = 3.21%.

For item b, the percentage of people who is not diagnosed as having diabetes is divided as:

96.5% of 91.77% (do not have diabetes).

2% of 8.23% (have diabetes).

Hence the probability is:

P(A) = 0.965 x 0.9177 + 0.02 x 0.0823 = 0.8872 = 88.72%.

For item c, we find the conditional probability, as follows:

$P(A \cap B) = 0.02 \times 0.0823 = 0.001646$

Then:

P(B|A) = 0.001646/0.8872 = 0.0019 = 0.19%.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

7 0

1 year ago

What number is needed to complete the pattern below 5 10 3 15 20 13 25 30 ?

Hunter-Best [27]

The pattern
5 10 3 15 20 13 25 30....
the next number is
23 because after each 2 numbers its +10

Hope this helps,
xXharleyquinn04Xx

4 0

3 years ago

Solve this problem and show how you got it 25+6-15+25-10+14-21

julsineya [31]

25 + 6 - 15 + 25 - 10 + 14 - 21
31 - 15 + 25 - 10 + 14 - 21
16 + 25 - 10 + 14 - 21
41 - 10 + 14 - 21
31 + 14 - 21
45 - 21
24

4 0

3 years ago

Read 2 more answers

In an isolated environment, a disease spreads at a rate proportional to the product of the infected and non-infected populations

eimsori [14]

Answer:

Expression: N = C·L·l(t)· T + 20

The initial value problem and solution are expressed as a first order differential equation.

Step-by-step explanation:

First, gather the information:

total population, N = 2 000

Proportionality constant, C = 0.0002

l(t) number of infected individuals = l(t)

healthy individuals = L

The equation is given as follows:

N = C·L·l(t)

However, there is a change with time, so the expression will be:

$\frac{dN}{dt}$ = C·L·l(t)

multiplying both sides by dt gives:

dN = C·L·l(t)

Integrating both sides gives:

$\int\limits^a_b {dN} \, dt$ = $\int\limits^a_b {CLl(t)} \, dt$

N = C·L·l(t)· T + K

initial conditions:

T= 0, N₀ = (0.01 ₓ 2 000) = 20

to find K, plug in the values:

N₀ = K

20 = K

At any time T, the expression will be:

<u>N = C·L·l(t)· T + 20</u> Ans

8 0

3 years ago