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3 years ago

200 days from March 3 is

Mathematics

2 answers:

romanna [79]3 years ago

7 0

Answer:

Step-by-step explanation:

March always has 31 days, so 31 subtract 3 is 28.

then add each days of the month till you get to September.

take 200 and subtract what you have totaled which should be 181 and the remainder should be 19 days.

leaving the answer to be September 19th.

Hope this helps.

lara31 [8.8K]3 years ago

5 0

September 19 , 2018 is the answer

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The number of bacteria in a certain culture doubled every hour. If there were 30 bacteria present in the culture initially, how

vichka [17]

Answer:

The number of bacteria after $8th$ will be $3840$

Step-by-step explanation:

Given the initially 30 bacteria present in the culture.

Also, the number of bacteria got doubled every hour.

So, using the equation

$A=A_0r^{n-1}$

Where $A$ is number of bacteria after $n$ hours.

$A_0$ is bacteria present initially.

$r$ is the common ration, in our problem it is given that bacteria doubles every hour. So, $r=2$

And $n$ is the number of hours. In our problem we need amount of bacteria at the end of $8th$ hours. So, $n=8$

Plugging values in the formula we get,

$A=30(2)^{8-1}\\A=30\times 2^7\\A=30\times 128\\A=3840$

So, number of bacteria after $8th$ will be $3840$

3 0

3 years ago

Given a population with a mean of muμequals=100100 and a variance of sigma squaredσ2equals=3636, the central limit theorem appl

lakkis [162]

Answer:

a) $\bar X \sim N(100,\frac{6}{\sqrt{25}}=1.2)$

$\mu_{\bar X}=100$ $\sigma^2_{\bar X}=1$

b) $P(\bar X >101)=1-P(\bar X$

c) $P(\bar X$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: $P(A)+P(A') =1$

Let X the random variable that represent the variable of interest on this case, and for this case we know the distribution for X is given by:

$X \sim N(\mu=100,\sigma=6)$

And let $\bar X$ represent the sample mean, by the central limit theorem, the distribution for the sample mean is given by:

$\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})$

a. What are the mean and variance of the sampling distribution for the sample means?

$\bar X \sim N(100,\frac{6}{\sqrt{25}}=1.2)$

$\mu_{\bar X}=100$ $\sigma^2_{\bar X}=1.2^2=1.44$

b. What is the probability that x overbarxgreater than>101

First we can to find the z score for the value of 101. And in order to do this we need to apply the formula for the z score given by:

$z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

If we apply this formula to our probability we got this:

$z=\frac{101-100}{\frac{6}{\sqrt{25}}}=0.833$

And we want to find this probability:

$P(\bar X >101)=1-P(\bar X$

On this last step we use the complement rule.

c. What is the probability that x bar 98less than

First we can to find the z score for the value of 98.

$z=\frac{98-100}{\frac{6}{\sqrt{25}}}=-1.67$

And we want to find this probability:

$P(\bar X$

5 0

3 years ago

Plz help, I don't know how to do this

exis [7]

Once you complete the square the equation is (x+3)^2 + (y - 8)^2 = 64
The center is (-3,8)
Radius is 8
A. False
B. True
C. False

3 0

3 years ago

Anybody know the answer?

Dmitry_Shevchenko [17]

Answer:

<h2>Option B </h2>

Step-by-step explanation:

As,

It has shown that line c cuts line b by making 90° so those lines are called perpendicular bisectors .

Hence,

Option B is the correct symbol shown for perpendicular bisector of line c to line b.

8 0

2 years ago

The mean amount spent by a family of four on food is $500 per month with a standard deviation of $75. Assuming that the food cos

Alexeev081 [22]

Answer:

$z=\frac{x- \mu}{\sigma}$

And replacing we got:

$z=\frac{425-500}{75}= -1$

And we can calculate this probabilit using the normal standard distribution or excel and we got:

$P(z$

Step-by-step explanation:

If we define the random variable of interest "the amount spent by a family of four of food per month" and we know the following parameter:

$\mu = 500, \sigma = 75$

And we want to find the following probability:

$P(X$

And we can use the z score formula given by:

$z=\frac{x- \mu}{\sigma}$

And replacing we got:

$z=\frac{425-500}{75}= -1$

And we can calculate this probabilit using the normal standard distribution or excel and we got:

$P(z$

5 0

3 years ago