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2 years ago

IM SO DUMB I NEED HELP

Mathematics

1 answer:

alexdok [17]2 years ago

6 0

Answer:

$76.0m^2$ (you have to have the .0 since it says to round to the nearest <em>tenth</em>)

Step-by-step explanation:

The formula for the surface area of a rectangular prism is:

$A=2(wl+hl+hw)$

So just plug in the values.

Height= 4

Width=2

Length=5

$A=2((2)(5)+(4)(5)+(4)(2))\\A=2(10+20+8)\\A=2(38)\\A=76m^2$

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Please help please and thanks

Bingel [31]

This will help a lot if you go to desmos! Just graph the equation on there! It’s much easier to see on computer

7 0

2 years ago

In a particular faculty 60% of students are men and 40% are women. In a random sample of 50 students what is the probability tha

zimovet [89]

Answer:

a) The expected value is given by:

$E(X) = np = 50*0.4 = 20$

and the variance is given by:

$Var(X) =np(1-p) = 50*0.4*(1-0.4) = 12$

b) $P(X>25)= 1-P(X\leq 25)$

And we can find this probability with the following Excel code:

=1-BINOM.DIST(25,50,0.4,TRUE)

And we got:

$P(X>25)= 1-P(X\leq 25)=0.0573$

c) 1) Random sample (assumed)

2) np= 50*0.4= 20 >10

n(1-p) =50*0.6= 30>10

3) Independence (assumed)

Since the 3 conditions are satisfied we can use the normal approximation:

$X \sim N(\mu = 20 , \sigma= 3.464)$

d) $P(X>25) = 1-P(Z< \frac{25-20}{3.464}) = 1-P(z$

e) $P(X>25)= P(X>25.5) = 1-P(X \leq 25.5)$

$P(X>25)= P(X>25.5) = 1-P(X \leq 25.5)= 1-P(Z$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=50, p=0.4)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Part a

The expected value is given by:

$E(X) = np = 50*0.4 = 20$

and the variance is given by:

$Var(X) =np(1-p) = 50*0.4*(1-0.4) = 12$

Part b

For this case we want to find this probability:

$P(X>25)= 1-P(X\leq 25)$

And we can find this probability with the following Excel code:

=1-BINOM.DIST(25,50,0.4,TRUE)

And we got:

$P(X>25)= 1-P(X\leq 25)=0.0573$

Part c

1) Random sample (assumed)

2) np= 50*0.4= 20 >10

n(1-p) =50*0.6= 30>10

3) Independence (assumed)

Since the 3 conditions are satisfied we can use the normal approximation:

$X \sim N(\mu = 20 , \sigma= 3.464)$

Part d

We want this probability:

$P(X>25) = 1-P(Z< \frac{25-20}{3.464}) = 1-P(z$

Part e

For this case we use the continuity correction and we have this:

$P(X>25)= P(X>25.5) = 1-P(X \leq 25.5)$

$P(X>25)= P(X>25.5) = 1-P(X \leq 25.5)= 1-P(Z$

4 0

3 years ago

Whoever answers first can get brainliest!

Andrew [12]

Answer:

Step-by-step explanation:

8 0

2 years ago

How much dirt is in a hole 5 feet wide, 2 feet long, and 3 feet deep?

Veseljchak [2.6K]

Answer:

30 ft of dirt.

Step-by-step explanation:

We want to know the volume, or the capacity, of the hole.

The formula for volume is to multiply the length, width, and height.

l x w x h

2 x 5 x 3 = 30

So there is 30 ft of dirt in the hole.

plz mark brainliest if this helped :)

5 0

2 years ago

Read 2 more answers

You invest 1,600 in an account that pays an interest rate of 6.5% compounded continuously calculate the balance after 6 years

tangare [24]

The amount A when the principal P is compounded continuously is given by the formula :

$A=P E^{rt}$

Here r is rate of interest and t is time .

In the question P=1600 ,r=6.5%=0.065 ,t= 6 years

Substituting these values in the formula

$A=(1600) e^{0.065 times 6}$

A= 1600(1.48)

A=2363.17

Balance after 6years is $2363.17

6 0

3 years ago