What is the value of y when x=3

Using known properties, determine if the statements are true or not. Select True or False for each statement. If one pair of con

forsale [732]

Answer:

The diagonals of a parallelogram bisect each other.

Step-by-step explanation:

If one pair of consecutive sides of a parallelogram is congruent, then the parallelogram is a rectangle.

False. This is rhombus.

The diagonals of a parallelogram bisect each other.

True

If a quadrilateral has four right angles, then it is a square.

False. It is rectangle.

3 0

2 years ago

A rumor spreads through a small town. Let y(t) be the fraction of the population that has heard the rumor at time t and assume t

sladkih [1.3K]

Answer:

The answer is shown below

Step-by-step explanation:

Let y(t) be the fraction of the population that has heard the rumor at time t and assume that the rate at which the rumor spreads is proportional to the product of the fraction y of the population that has heard the rumor and the fraction 1−y that has not yet heard the rumor.

a)

$\frac{dy}{dt}\ \alpha\ y(1-y)$

$\frac{dy}{dt}=ky(1-y)$

where k is the constant of proportionality, dy/dt = rate at which the rumor spreads

b)

$\frac{dy}{dt}=ky(1-y)\\\frac{dy}{y(1-y)}=kdt\\\int\limits {\frac{dy}{y(1-y)}} \, =\int\limit {kdt}\\\int\limits {\frac{dy}{y}} +\int\limits {\frac{dy}{1-y}} =\int\limit {kdt}\\\\ln(y)-ln(1-y)=kt+c\\ln(\frac{y}{1-y}) =kt+c\\taking \ exponential \ of\ both \ sides\\\frac{y}{1-y} =e^{kt+c}\\\frac{y}{1-y} =e^{kt}e^c\\let\ A=e^c\\\frac{y}{1-y} =Ae^{kt}\\y=(1-y)Ae^{kt}\\y=\frac{Ae^{kt}}{1+Ae^{kt}} \\at \ t=0,y=10\%\\0.1=\frac{Ae^{k*0}}{1+Ae^{k*0}} \\0.1=\frac{A}{1+A} \\A=\frac{1}{9} \\$

$y=\frac{\frac{1}{9} e^{kt}}{1+\frac{1}{9} e^{kt}}\\y=\frac{1}{1+9e^{-kt}}$

At t = 2, y = 40% = 0.4

c) At y = 75% = 0.75

$y=\frac{1}{1+9e^{-0.8959t}}\\0.75=\frac{1}{1+9e^{-0.8959t}}\\t=3.68\ days$

5 0

2 years ago

Suppose a researcher is testing to see if a basketball player can make free throws at a rate higher than the NBA average of 75%.

stich3 [128]

Answer: A. Repeated results if the player makes 75% of his shots in the long run.

Step-by-step explanation:

The null distribution is always the opposite of the alternative distribution which in most cases represents the claim or hypothesis which is to be tested or performed. In the scenario given, the challenge is to show that a basketball player has an average higher than that of the NBA. NBA average stands at 75%. The alternative hypothesis is the claim, which is ;

H1 : μ > 75%

THE null is thus :

H0 : μ = 75% ; which means that repeated result of the player will yields an average of 75%

3 0

3 years ago

Everyday Erin’s Orange stand uses 1 3/8 bags of oranges for how many days will 5 1/2 bags of oranges last

lana [24]

Answer:

0.0625 Days

Step-by-step explanation:

For 1 day Erin uses 1 3/8

1 day consumption is 11/8

11/2 bags of oranges would take

11/2 divided by 11/8

5 0

2 years ago

A researcher selects all of the possible samples with n = 8 scores from a population and computes the mean, dividing by n, for e

Nadusha1986 [10]

Answer:

By the Central Limit Theorem, the average value for all of the sample means is 14.

Step-by-step explanation:

We use the central limit theorem to solve this question.

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means of size n can be approximated to a normal distribution with mean $\mu$ and standard deviation, which is also called standard error $s = \frac{\sigma}{\sqrt{n}}$

If the population mean is μ = 14, then what is the average value for all of the sample means?

By the Central Limit Theorem, the average value for all of the sample means is 14.

3 0

3 years ago