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2 years ago

What is the volume of the prism?

Mathematics

1 answer:

GREYUIT [131]2 years ago

5 0

let's firstly conver the mixed fractions to improper fractions and then get their product.

$\stackrel{mixed}{4\frac{1}{2}}\implies \cfrac{4\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{9}{2}} ~\hfill \stackrel{mixed}{2\frac{1}{2}}\implies \cfrac{2\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{5}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{9}{2}\cdot \cfrac{5}{2}\cdot 6\implies \cfrac{270}{2}\implies 135$

hmmm I take it that one can write that mixed as $135\frac{0}{2}$ .

is valid, not that it makes any sense.

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Calculating the degrees of freedom, the sample variance, and the estimated standard error for evaluations using the t statistic

Yuliya22 [10]

Answer:

a) For the first part we have a sample of n =10 and we want to find the degrees of freedom, and we can use the following formula:

$df = n-1= 10-1=9$

d.9

b) $s^2 = \frac{SS}{n-1}= \frac{600}{41-1}= 15$

a.15

c) For this case we have the sample size n = 25 and the sample variance is $s^2 =400$ , the standard error can founded with this formula:

$SE = \frac{s^2}{\sqrt{n}}= \frac{400}{\sqrt{25}}= 80$

Step-by-step explanation:

Part a

For the first part we have a sample of n =10 and we want to find the degrees of freedom, and we can use the following formula:

$df = n-1= 10-1=9$

d.9

Part b

From a sample we know that n=41 and SS= 600, where SS represent the sum of quares given by:

$SS = \sum_{i=1}^n (X_i -\bar X)^2$

And the sample variance for this case can be calculated from this formula:

$s^2 = \frac{SS}{n-1}= \frac{600}{41-1}= 15$

a.15

Part c

For this case we have the sample size n = 25 and the sample variance is $s^2 =400$ , the standard error can founded with this formula:

$SE = \frac{s^2}{\sqrt{n}}= \frac{400}{\sqrt{25}}= 80$

8 0

3 years ago

Help me out please!!! 50 points!!!

german

Step-by-step explanation:

I assume they intersect at a right angle (90°).

then the intersection is a rectangle with one side being 12 m, and the diagonal being 13 m long.

the diagonal is the Hypotenuse (baseline) of a right-angled triangle with the length and the width of the rectangle as legs.

so, by using Pythagoras we have

diagonal² = length² + width²

13² = 12² + width²

169 = 144 + width²

25 = width²

width = 5 m

so, Oakdale Avenue is 5 m wide.

3 0

2 years ago

Read 2 more answers

I need help for this question.

Charra [1.4K]

Answer:

f(x) = (x +4)(x -1)(x -2)²

Step-by-step explanation:

The given points are all x-intercepts of the function. As such, each corresponds to a factor of the function. The x-intercept x=p corresponds to factor (x-p), for example.

Here, the x-intercept (2, 0) is repeated. It is said to have "multiplicity 2". That multiplicity value means the factor will have an exponent of 2 in the factored form of the function:

f(x) = (x -(-4))(x -2)(x -1)(x -2)

f(x) = (x +4)(x -1)(x -2)²

_____

Additional comment

When an x-intercept has even multiplicity, the graph will touch the axis there, but will not cross.

3 0

2 years ago

What types of triangles can have an obtuse angle? Scalene Right Acute Isosceles

eimsori [14]

Scalene = yes it is possible (example: 105 degrees, 5 degrees, 70 degrees)

Right = No, the reason why is because the remaining angles must add to 90 which is less than a right angle. So it's impossible to have one angle over 90 degrees.

Acute = Also no. All three angles are less than 90 degrees

Isosceles = Yes. It is possible. One example would be 120 degrees, 30 degrees, 30 degrees.

8 0

3 years ago

Five students ran in a race. The finish time for each student is in the table below Which student crossed the finish line before

SVETLANKA909090 [29]

Answer:

Dana crossed the finish line before Mari.

Step-by-step explanation:

$2.08$

Dana<Mari<Clair<Jason<Alex

5 0

2 years ago