What is the volume of a triangular pyramid that is 10 in. tall and has a base area of 9 square in.?

Answer: 5

Step-by-step explanation:

Answer:

a. Outcomes of A = { (C,C,C) , (D,D,D), (S,S,S) }

b. Outcomes of B = { (C,D,S),(C,S,D),(D,C,S),(D,S,C),(S,C,D),(S,D,C) }

c. Outcomes of C = { (C,C,C),(C,C,D),(C,C,S),(C,D,C),(C,S,C),(D,C,C),(S,C,C) }

d. Outcomes of A⋂C = { (C,C,C) }

e. Outcomes of Sample space = { (C,C,C), (C,C,D), (C,C,S), (C,D,C), (C,D,D), (C,D,S), (C,S,C), (C,S,D), (C,S,S), (D,C,C), (D,C,D),(D,C,S), (D,D,C), (D,D,D), (D,D,S), (D,S,C), (D,S,D), (D,S,S),   (S,C,C), (S,C,D), (S,C,S), (S,D,C), (S,D,D), (S,D,S), (S,S,C), (S,S,D), (S,S,S) }

f. Outcomes of A U B = { (C,C,C) , (D,D,D), (S,S,S), (C,D,S),(C,S,D),(D,C,S),(D,S,C),(S,C,D),(S,D,C) }

g. Outcomes of A⋂[tex]C^{c}[/tex] = { (D,D,D), (S,S,S) }

h. Outcomes of [tex]A^{c}[/tex]⋂C = {(C,C,D),(C,C,S),(C,D,C),(C,S,C),(D,C,C),(S,C,C)}

i. Events A and C are not mutually exclusive

j. Events B and C are mutually exclusive

Step-by-step explanation:

Given - Three times each day, a quality engineer samples a component

             from a recently manufactured batch and tests it. Each part is

             classified as conforming (suitable for its intended use),  

             downgraded (unsuitable for the intended purpose but usable for  

             another purpose), or scrap (not usable). An experiment consists

             of recording the categories of the three parts tested in a particular

              day.

To find - a. Let A be the event that all the parts fall into the same

                  category. List the outcomes in A.

              b. Let B be the event that there is one part in each category.

                  List the outcomes in B.

              c. Let C be the event that at least two parts are conforming.

                  List the outcomes in C.

              d. List the outcomes in A⋂C

              e. List the 27 outcomes in the sample space.

               f. List the outcomes in A U B.

              g. List the outcomes in A⋂[tex]C^{c}[/tex]

              h. List the outcomes in ⋂C.

              i. Are events A and C mutually exclusive? Explain.

              j. Are events B and C mutually exclusive? Explain.

Proof -

Let

Conforming part = C

Downgraded part = D

Scrap part = S

a.)

Given , Let A be the event that all the parts fall into the same category.

Outcomes of A = { (C,C,C) , (D,D,D), (S,S,S) }

b.)

Given, Let B be the event that there is one part in each category.

Outcomes of B = { (C,D,S),(C,S,D),(D,C,S),(D,S,C),(S,C,D),(S,D,C) }

c.)

Given,  Let C be the event that at least two parts are conforming.

Outcomes of C = { (C,C,C),(C,C,D),(C,C,S),(C,D,C),(C,S,C),(D,C,C),(S,C,C) }

d.)

Outcomes of A⋂C = { (C,C,C) }

e.)

Outcomes of Sample space = { (C,C,C), (C,C,D), (C,C,S), (C,D,C), (C,D,D), (C,D,S), (C,S,C), (C,S,D), (C,S,S), (D,C,C), (D,C,D),(D,C,S), (D,D,C), (D,D,D), (D,D,S), (D,S,C), (D,S,D), (D,S,S),   (S,C,C), (S,C,D), (S,C,S), (S,D,C), (S,D,D), (S,D,S), (S,S,C), (S,S,D), (S,S,S) }

f.)

Outcomes of A U B = { (C,C,C) , (D,D,D), (S,S,S), (C,D,S),(C,S,D),(D,C,S),(D,S,C),(S,C,D),(S,D,C) }

g.)

Outcomes of [tex]C^{c}[/tex]  =  {  (C,D,D), (C,D,S), (C,S,D), (C,S,S), (D,C,D),(D,C,S), (D,D,C), (D,D,D), (D,D,S), (D,S,C), (D,S,D), (D,S,S), (S,C,D), (S,C,S), (S,D,C), (S,D,D), (S,D,S), (S,S,C), (S,S,D), (S,S,S) }

Outcomes of A⋂[tex]C^{c}[/tex] = { (D,D,D), (S,S,S) }

h.)

Outcomes of [tex]A^{c}[/tex] = {(C,C,D), (C,C,S), (C,D,C), (C,D,D), (C,D,S), (C,S,C), (C,S,D), (C,S,S), (D,C,C), (D,C,D),(D,C,S), (D,D,C),  (D,D,S), (D,S,C), (D,S,D), (D,S,S),   (S,C,C), (S,C,D), (S,C,S), (S,D,C), (S,D,D), (S,D,S), (S,S,C), (S,S,D), }

Outcomes of [tex]A^{c}[/tex]⋂C = {(C,C,D),(C,C,S),(C,D,C),(C,S,C),(D,C,C),(S,C,C) }

i.)

As we two that Two events A and C are mutually exclusive iff A ∩ C = ∅

Now,

A ∩ C = { (C,C,C) }

⇒Events A and C are not mutually exclusive.

j.)

As we two that Two events B and C are mutually exclusive iff B ∩ C = ∅

Now,

B ∩ C = ∅

⇒Events B and C are mutually exclusive.

Answer:

a) 9000

b) 40

c) 630

d) 125

Answer:

225

Step-by-step explanation:

1275 / 5 = 225

I know this because five can go into the 1275 225 times

Answer:255

Step-by-step explanation:

I’m not completely sure what your asking but 1275 divided by 5 is 255

Answer:

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Step-by-step explanation:

Answer: 117in²

Step-by-step explanation:

area of a parallelogram= bh (base times height)

13 times 9 = 117in²

Answer:

2

Step-by-step explanation:

The solutions of a quadratic graph are the x-intercepts. As you can see from the graph, the only place that it intercepts the x axis is at 2, so the solution is 2.

Answer:72.603

Step-by-step :

70 + 2 + 6 ÷ 10 + 3 ÷ 1000

=72.603

Answer:

The Second One I Think

Step-by-step explanation:

By what I understand that would be the one that is in standard form

Answer:

Step-by-step explanation:

2/5 g = 3/5

g = 3/5 - 2/5 = 1/5

Answer:

x is 21. dccxpxpdpdpdpdp

Answer:

Mutual

Step-by-step explanation:

33° +2x-15 =90

2x =90+15-33

2x=72

X=36

Answer:

(1/2)p+2=3.5

Step-by-step explanation:

1/2 is hours he spends doing work p would be the variable for how many puzzles he can do plus the 2 hours for homework to equal 3.5 hours in all.

Answer:

Yes

Step-by-step explanation:

(3, 2) is a solution to the given system of linear equations.

x - 8y = 3 - 8*2 = 3 - 16 = - 13

16x - 16y = 16(x - y) = 16( 3 - 2) = 16*1 = 16

Step-by-step explanation:

16 feet is equal to 192 inches.

Hope it helps :)❤

Answer:

192 inches is equal to 16 feet.

(Hope this helps! Btw, I answered first. Brainliest please! :D)

Answer:

Maximum height = 346 feet

Step-by-step explanation:

Given that,

The height of the rocket, y in feet, is related to the  time after launch, x in seconds, by the given equation as follows :

[tex]y = -16x^2 + 136x + 57[/tex] .....(1)

We need to find the maximum height reached by the rocket. For maximum height,

Put dy/dt = 0

So,

[tex]\dfrac{d}{dt}( -16x^2 + 136x + 57)=0\\\\-32x+136=0\\\\x=\dfrac{136}{32}\\\\x=4.25[/tex]

No, put x = 4.25 in equation (1).

[tex]y = -16(4.25)^2 + 136(4.25)+ 57\\\\y=346\ feet[/tex]

So, the maximum height reached by the rocket is equal to 346 feet.

Step-by-step explanation:

u-42+u-43+u-44=180

3u -129 = 180

3u = 309

u = 103

Answer:

yes these are equivalent bcz

3/6=1/2

Step-by-step explanation:

PlZ make me brainliest

Answer:

Yes

Step-by-step explanation:

3/6= 0.5

1/2= 0.5

Given:

Discount = 40%

Sales tax = 7%

To find:

The total cost of levi jeans with an original price of x.

Solution:

Let x be the original price of the jeans. Then the price after 40% discount is

[tex]Price=x-40\%\text{ of }x[/tex]

[tex]Price=x-\dfrac{40}{100}x[/tex]

[tex]Price=x-0.4x[/tex]

[tex]Price=0.6x[/tex]

The price after 7% of sales tax.

[tex]Price=0.6x+7\%\text{ of }0.6x[/tex]

[tex]Price=0.6x+\dfrac{7}{100}\times 0.6x[/tex]

[tex]Price=0.6x+0.042x[/tex]

[tex]Price=0.642x[/tex]

Therefore, the total cost  of the levi jeans with an original price of x is represented by the expression 0.642x.

Answer:

c

Step-by-step explanation:

Answer:

C. II and III

Step-by-step explanation:

Vertical angles are all start across from each other.

So:

∠3 and ∠6 are across from each other

∠2 and ∠5 are across from each other

∠1 and ∠4 are across from each other

The only option with at least two of the true statements above is C.

Answer:

Option A, Left by 4 units

Step-by-step explanation:

Step 1:  Convert g(x) to a function square

We currently have g(x) in this order:  [tex]ax^2 + bx + c[/tex]

However, we want g(x) to be in this order:  [tex](ax + c)^{2}[/tex]

The first thing we have to do is to factor it out:

[tex]g(x)=x^{2}+8x+16[/tex]

[tex]g(x) = (x + 4)(x + 4)[/tex]

[tex]g(x) = (x+4)^{2}[/tex]

Step 2:  Now we can see which way we need to move it

The original form is:  [tex]f(x) = (ax - b)^{2}[/tex]

Since the - has changed to a +, that means that we moved -4 spaces down the x-axis.  This means that we move left by 4 units.

Answer:  Option A, Left by 4 units

Look at the graphs below to make sure:

Answer:

A.) Left By 4 Units

Step-by-step explanation:

Functions f(x) and g(x) are shown below: f(x) = x2 g(x) = x2 + 8x + 16

The direction in which and by how many units the f(x) should be shifted to obtain the g(x) is given by as follows.

Given,

f(x) = x²

g(x) = x² + 8x + 16

we have to consider, the dependent term while selecting the direction.

Therefore, except x², only x term is dependent term.

In g(x), the x term is given by 8.

Therefore, we need to shift the f(x) left by 4 units.

Therefore, option A is correct.

Answer:

0.36 = 36% probability that the land has oil and the test predicts it

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

45% chance that the land has oil.

This means that [tex]P(A) = 0.45[/tex]

He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil.

This means that [tex]P(B|A) = 0.8[/tex]

What is the probability that the land has oil and the test predicts it?

This is [tex]P(A \cap B)[/tex]. So

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

[tex]P(B \cap A) = P(B|A)*P(A) = 0.8*0.45 = 0.36[/tex]

0.36 = 36% probability that the land has oil and the test predicts it

Answer:

The probability that the land has oil and the test predicts it is 36%

Step-by-step explanation:

So option  C.  0.36 is correct for plato users

Answer:

cos 45 degree = A/H

cos 45 degree =  2 square root 2 / x

x = 2 square root 2 / cos 45 degree

x = 4

Sin 45 degree = O/H

Sin 45 degree = y/ 4

4 x Sin 45 degree = y

y = 2.83

or

we could use tan

tan 45 degree = O/A

tan 45 degree = y / 2 square root 2

2 square root 2 x tan 45 degree = y

y = 2.83

i hope this would elp a little bit.

Answer:

5 people

Step-by-step explanation:

40/7=5.71

Thats not enough for 6 people so you go down to 5 people, you can't have 5.71 of someone

me Q i did not know somebody Help My frann

Answer:

x=17

Step-by-step explanation:

Hello There!

The shown figure is a 6 sided figure and if you didn't know the interior angles of a 6 sided figure add up to equal 720

so

720=110+8x-1+5x+36+116+7x+19+6x-2

now we solve for x

step 1 combine like terms

110-1+36+116+19-2=278

8x+5x+7x+6x=26x

now we have

720=278+26x

step 2 subtract 278 from each side

720-278=442

we now have

442=26x

step 3 divide each side by 26

442/26=17

we're left with

x=17

Answer:

5y + 8

and

8y +5 are the same solutions.