All categories

3 years ago

Rosalyn has three different-shaped containers that contain marbles. She has 3 round containers, each holding 16 marbles.

Mathematics

1 answer:

Murljashka [212]3 years ago

5 0

Answer:

42,996

Step-by-step explanation:

3*16+4*25+2*33=48+100+66=214

You might be interested in

At a school, all 60 students play on at least one of three teams: basketball, soccer, and mathletics. 8 students play all three

svet-max [94.6K]

Only 26 play on exactly 2 teams

8 0

4 years ago

What is the input value other than -7, for which h (x) = 3?

erik [133]

Answer:

x=5

Step-by-step explanation:

h (x) = 3

We want the x values where y =3

The values are x = -7 and x=5

6 0

3 years ago

What is the definition of transformation

lana [24]

Answer:

<h3>IN MATHS, </h3>

TRANSFORMATION is a process by which one figure, expression, or function is converted into another one of similar value.

<h3>IN PHYSICS , </h3>

TRANSFORMATION is the induced or spontaneous change of one element into another by a nuclear process.

<h3>IN BIOLOGY,</h3>

TRANSFORMATION is the genetic alteration of a cell by introduction of extraneous DNA, especially by a plasma.

4 0

3 years ago

According to the 2011 National Survey of Fishing, Hunting, and Wildlife-Associated Recreation, there were over 71 million wildif

suter [353]

Answer:

The probability that between 79% and 81%of the 500 sampled wildlife watchers actively observed mammals in 2011 is P=0.412.

Step-by-step explanation:

We know the population proportion π=0.8, according to the 2011 National Survey of Fishing, Hunting, and Wildlife-Associated Recreation.

If we take a sample from this population, and assuming the proportion is correct, it is expected that the sample's proportion to be equal to the population's proportion.

The standard deviation of the sample is equal to:

$\sigma_s=\sqrt{\frac{\pi(1-\pi)}{N}}=\sqrt{\frac{0.8*0.2}{500}}=0.018$

With the mean and the standard deviaion of the sample, we can calculate the z-value for 0.79 and 0.81:

$z=\frac{p-\pi}{\sigma}=\frac{0.79-0.80}{0.018} =\frac{-0.01}{0.018} = -0.55\\\\z=\frac{p-\pi}{\sigma}=\frac{0.81-0.80}{0.018} =\frac{0.01}{0.018} = 0.55$

Then, the probability that between 79% and 81%of the 500 sampled wildlife watchers actively observed mammals in 2011 is:

$P(0.79$

3 0

3 years ago

A country's population in 1991 was 136 million. In 2000 it was 141 million. Estimate the population in 2016 using the exponentia

katrin [286]

The answer is 150 million.

Step 1. Calculate the growth rate.
Step 2. Calculate the population number in 2014.

We will use the formula for exponential growth:
A = P * eⁿˣ
where:
A - the final amount (value)
P - the initial amount (value)
e - the mathematical constant (e ≈ 2.72)
n - the growth rate
x - the time

Step 1:
A = 141 million = 141 000 000
P = 136 million = 136 000 000
n = ?
x = 2000 - 1991 = 9
Therefore:
$141 000 000 = 136000 000 * e ^{n*9} \\ e ^{n*9} =141000 000 /136000000 \\ e ^{n*9} =1.04$

Logarithm both sides of the equation:
$ln(e ^{n*9})=ln(1.04) \\ n*9*ln(e) = ln(1.04) \\ 6n=ln(1.04) \\ n = \frac{ln(1.04)}{9} \\ n = \frac{0.04}{9} \\ n = 0.004$

Step 2:
Now when we know the growth rate, it is easy to estimate the population in 2016
A = ?
P = 141 000 000
n = 0.004
t = 2016 - 2000 = 16
$A = 141 000 000 * e ^{0.004*16} \\ A = 141000 000 * e^{0.0640} \\ A = 141000 000 * 1.066\\ A = 150306 000$

Thus, the population will be nearly 150 million in 2016

7 0

4 years ago