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3 years ago

Ik this is easy but pls explain and help I will mark u brainliest:) [?] ft^3

Mathematics

1 answer:

Mashutka [201]3 years ago

6 0

The Game plan:

We know that the volume of a Prism is:

The area of the triangle on the side multiplied by the width of the Prism

Also, Area of triangle = $\frac{1}{2}*b*h$

(where b is the base and h is the altitude of triangle)

Finding the Volume:

Volume = Area of triangle * Width

Volume = $(\frac{1}{2}*b*h) * w$ (where w is the width of the prism)

Volume = $(\frac{1}{2}*20*30) * 24$ (plugging the known values)

Volume = 7200 ft³

You might be interested in

(a) A parachutist lands at a point on the line between the points A and B, and the target is an operation at A. The operation fa

mr Goodwill [35]

Answer:

a) $\frac{B-\frac{A+5B}{6}}{B-A}= \frac{6B -A-5B}{6(B-A)}=\frac{B-A}{6(B-A)}=\frac{1}{6}$

b) $P(X>1) = 1-P(X\leq 1)=1-\int_{0}^1 \frac{1^{2} x^{2-1} e^{- x}}{\gamma(2)}=0.736$

Step-by-step explanation:

Part a

We assume that the parachutist lands at random point in the interval (x=A,y=B) we have a continuous random variable X. And the distribution of X would be uniform $Y\sim Unif(A,B)$ . And the density function would be given by:

$f(x) =\frac{1}{B-A} , A$

And 0 for other case.

The operation fails, if parachutist's distance to A is more than five times as much as her distance to B.

So the point P in the interval (A,B) at which the distance to A is exactly 5 times the distance to B is given by:

$P= A + \frac{5}{6} (B-A)= \frac{6A +5B -5A}{6}=\frac{A+5B}{6}$

And we can find the probability desired like this:

$P(d(P,A) \geq 5 d(P,B))= P(\frac{A+5B}{6} < X< B)$

And from the cumulative distribution function of X ficen by $F(X)\frac{X-A}{B-A}$ we got:

$\frac{B-\frac{A+5B}{6}}{B-A}= \frac{6B -A-5B}{6(B-A)}=\frac{B-A}{6(B-A)}=\frac{1}{6}$

Part b

For this case we assume that $X\sim Gamma (2,1)$

On this case we assume that $\alpha=2, \beta= 1$

The density function for the Gamma distribution is given by:

$P(X)= \frac{\beta^{\alpha} x^{\alpha-1} e^{-\beta x}}{\gamma(\alpha)}$

And on this case we can find the probability using the complement rule like this:

$P(X>1) = 1-P(X\leq 1)=0.736$

We can solve this problem with the following excel code:

"=1-GAMMA.DIST(1;2;1;TRUE)"

And if we do it by hand we need to do this:

$P(X>1) = 1-P(X\leq 1)=1-\int_{0}^1 \frac{1^{2} x^{2-1} e^{- x}}{\gamma(2)}=0.736$

6 0

3 years ago

Can some Help answer this?

bezimeni [28]

The scale is 3 dddddddd

6 0

3 years ago

The Ratio of boys to girls at a middle school is 3:2. If the school has 400 people how many will be boys?

Mekhanik [1.2K]

You have to divide 400 by 5. That will equal 80. Since the ratio is 3:2 Just multiply 3 by 80 then 2 by 80! :-)

You can check it by simplifying it again.

5 0

4 years ago

Read 2 more answers

Saul decides to use the IQR to measure the spread of the data. Saul calculates the IQR of the data set to be 27

german

Answer:

n = 78

Step-by-step explanation:

IQR is the interquartile range of the data set.

So Saul had already arranged the data in order, that is the first step when calculating the interquartile range.

25, 30, 50, 50, 50, 50, 56, n., 250

Next, is to find the median so we could easily separate the data into quartiles.

The median of the data 25, 30, 50, 50, 50, 50, 56, n., 250 = 50

Then, arrange the data into the first quartile and the third quartile

first quartile = 25, 30, 50, 50

third quartile = 50, 56, n., 250

first quartile median = 30 + 50 = 80/2 = 40

third quartile = 56 + n /2

The interquartile range formula is the first quartile subtracted from the third quartile:

IQR = Q3 – Q1.

Since 27 is the interquartile range, n=

27 = (56 + n /2) - 40

Use 2 to multiply through to eliminate the denominator

54 = (56 + n) - 80

n = 78

5 0

3 years ago

Math help what is the answer will give brainliest.

artcher [175]

The two equations are
$x + y = 7$
and
$4x + 2.5y = 22$
the first equation can be solved for x to be
$x = 7 - y$
next you can substitute x in the second equation
$4(7 - y) + 2.5y = 22$
Distribute 4 to everything in the parentheses
$28 - 4y + 2.5y = 22$
combine like terms:
$28 - 1.5y = 22$
subtract 28 from both sides of the equation
$- 1.5y = - 6$
divide both sides by -1.5
$y = 4$
plug this in to the original equation of x+y=7
$x + 4 = 7$
subtract 4 from both sides.
$x = 3$
Final Answer: they bought 3 adult tickets and 4 student tickets

Hope this helps!

7 0

4 years ago

Ik this is easy but pls explain and help I will mark u brainliest:) [?] ft^3​

Ik this is easy but pls explain and help I will mark u brainliest:) [?] ft^3