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rusak2 [61]
3 years ago
11

A baby was born 3/4 of a month early. At birth its weight was 7/8 kilograms, which is 9/10 kilograms less than the average weigh

t of a newborn otter in the aquarium. What is the average weight of a newborn otter?
Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
7 0

Answer:

The average weight of a newborn otter is 1.775 kg.      

Step-by-step explanation:

We are given the following in the question:

Weight of newborn otter =

\dfrac{7}{8}\text{ kg}

Let x lg be the average weight of a newborn otter.

Thus, we are given the relation:

\dfrac{7}{8} = x - \dfrac{9}{10}\\\\x = \dfrac{7}{8} + \dfrac{9}{10}\\\\x = \dfrac{35+36}{40} = \dfrac{71}{40}\\\\x = 1.775\text{ kg}

Thus, the average weight of a newborn otter is 1.775 kg.

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Find the area of the sector.
kicyunya [14]

Answer:

D. 158.4 km²

Step-by-step explanation:

Area of sector = θ/360 * πr²

Where,

θ = 150°

r = 11 km

Substitute

Area = 150/360 * π * 11²

Area = 158.38863 ≈ 158.4 km² (nearest tenth)

3 0
3 years ago
What is the value of f(x) when x =0
kobusy [5.1K]

Answer:

-1, 2 and 4

Step-by-step explanation:

6 0
3 years ago
Please help
Zolol [24]

Given:

The function is

r(x)=0.05(x^2+1)(x-6)

where, function r gives the instantaneous growth rate of a fruit fly population x days after the start of an experiment.

To find:

Number of complex and real zeros.

Time intervals for which the population increased and population deceased.

Solution:

We have,

r(x)=0.05(x^2+1)(x-6)

r(x)=0.05(x^3+x-6x^2-6)

Here, degree of function x is 3. It means, the given function has 3 zeros.

From the given graph it is clear that, the graph of function r(x) intersect x-axis at once.

So, the given function r(x) has only one real root and other two real roots are complex.

Therefore, function r has 2 complex zeros and one real zero.

Before x=6, the graph of r(x) is below the x-axis and after that the graph of r(x) is above the x-axis.

Negative values of r(x) represents the decrease in population and positive value of r(x) represents the increase in population.

Therefore, based on instantaneous growth rate, the population decreased between 0 and 6 hours and the population increased after 6 hours.

3 0
3 years ago
54 is 75% of what number?
Furkat [3]
<span>one way to solve this kind of problems is by doing a little bit of reversal 75 % * X = 54 75/100 * X = 54 (we move 75/100 to the right, since it's a fraction the top and bottom number will be reversed) X = 54 * 100/75 X = 5400 / 75 X = 72 Hope I helped! :) Cheers!</span>
3 0
3 years ago
A car insurance company has determined that 9% of all drivers were involved in a car accident last year. among 14 drivers living
andriy [413]

The probability of getting 3 or more who were involved in a car accident last year is 0.126.

Given 9% of the drivers were involved in a car accident last year.

We have to find the probability of getting 3 or more who were involved in a car accident last year if 14 were selected randomly.

We have to use binomial theorem which is as under:

nC_{r}p^{r} (1-p)^{n-r}

where p is the probability an r is the number of trials.

Probability that 3 or more involved in a car accident last year if 14 are randomly selected=1-[P(X=0)+P(X=1)+P(X=2)]

=1-{14C_{0}0.9^{0} (0.1)^{14} +14C_{1} (0.9)^{1} (0.1)^{13} +14C_{2} (0.9)^{2} (0.1)^{12}}

=1-{1*0.2670+14!/13!*0.9*0.29+14!/2!12!*0.0081*0.2358}

=1-{0.2670+0.3654+0.2358}

=1-0.8682

=0.1318

Among the options given the nearest is 0.126.

Hence the probability that 3 or more are involved in the accident is 0.126.

Learn more about probability at brainly.com/question/24756209

#SPJ4

7 0
2 years ago
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