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Anna007 [38]
3 years ago
10

Help will mark Brainly

Mathematics
1 answer:
o-na [289]3 years ago
6 0

Answer:

V ≈ 8.67x10^7 ft^3

Step-by-step explanation:

We know that the volume of a pyramid is V= (lwh)/3

Since it is a square pyramid, it means that the length and the width are the same:

Length=755.9 feet

Width=755.9 feet

Height=455.4 feet

So, the volume is :

V = [(755.9)(755.9)(455.4)]/3

V = 86736214.158 ft^3

V ≈ 8.67x10^7 ft^3

Hope this helps!

Mark brainliest if u think I helped! Would really appreciate!

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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
8x-9y=19 4x+y=-7 How Do I Do This Type Of Math
astraxan [27]
8x-9y=19
4x+y=-7
 Multiply all terms of the 2nd by (9)===>  36x + 9y= 63

add (36x  9y=  63) to the 1st ===> 44x+0y = -44 ===> x=-1
replace x by this value in any of the equation & you'll get y=-3
4 0
3 years ago
Solve for f. Show your work! 8=f-(13-2)
Nana76 [90]

Answer:

So F=19

Step-by-step explanation:

8=f-(13-2)

8=f-11

+11  +11       You plus 11 by both sides

19=f

You can check you answer by plugging it in

8=19-(13-2)

your answer would still be 19

8 0
3 years ago
Seth invested a certain amount of money and got back an amount of $ 8400. If
kupik [55]

Answer:

$7700

Step-by-step explanation:

amount invested + interest = total

amount invested + 700 = 8400

Subtract 700 from both sides.

amount invested = 7700

Answer: $7700

5 0
2 years ago
A vertical plane intersects the three-dimensional object in the image and divides the object into equal halves. What is the shap
Zolol [24]
The cross section would be a semicircle because a cross section of the whole thing would be a circle

Hope this helps
3 0
3 years ago
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