Match the term with the definition. (5 points) Column A 1. Triangle : Triangle 2. Rectangle : Rectangle 3. Circle : Circle 4. Cylinder : Cylinder 5. Cone : Cone Column B a. perpendicular cross section of a pyramid b. parallel cross section of a sphere c. shape created when a right triangle is rotated about the y-axis d. shape created when a rectangle is rotated about the y-axis e. perpendicular cross section of a cylinder

Answer:

50

Step-by-step explanation:

you need to put  first the 32 on top of 100 since it always goes over 100 then you put 16 over a blank and you divide 32 by 16 which equals 2 so since you divided at the top you need to divide at the bottom so you divide 100 by 2 and you get 50 so 50 is your answer

Answer:

a) 0.0031 = 0.31% probability of marking exactly 3 incorrect answers.

b) 0.0035 = 0.35% probability of passing.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either the student chooses the correct answer, or he does not. Questions are independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

10 multiple choice questions

This means that [tex]n = 10[/tex]

4 answers that are equally likely to be the correct one. The quiz taker selects the answers randomly.

This means that [tex]p = \frac{1}{4} = 0.25[/tex]

a) Probability of marking exactly 3 incorrect answers.

3 incorrectly = 7 correctly, so this is P(X = 7).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 7) = C_{10,7}.(0.25)^{7}.(0.75)^{3} = 0.0031[/tex]

0.0031 = 0.31% probability of marking exactly 3 incorrect answers.

b) Probability of passing

At least 7 correct, so

[tex]P(X \geq 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 7) = C_{10,7}.(0.25)^{7}.(0.75)^{3} = 0.0031[/tex]

[tex]P(X = 8) = C_{10,8}.(0.25)^{8}.(0.75)^{2} = 0.0004[/tex]

[tex]P(X = 9) = C_{10,9}.(0.25)^{9}.(0.75)^{1} \approx 0[/tex]

[tex]P(X = 10) = C_{10,10}.(0.25)^{10}.(0.75)^{0} \approx 0[/tex]

[tex]P(X \geq 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.0031 + 0.0004 + 0 + 0 = 0.0035[/tex]

0.0035 = 0.35% probability of passing.

Answer:

f(-1)=6×(-1)^-4=6/(-1)^4=6/1=6

Answer:

30x - 28

Step-by-step explanation:

distribute

5(2x) - 5(4) -4(2) - 4(-5x)

10x - 20 - 8 + 20x

30x - 28

Answer:

3:2

Step-by-step explanation:

to write a ratio, we can do ?:? in order. for example, 5 big shops to 10 small shops would be 5:10 (we are going to simplify it later) You always have to put the ratio numbers in order like they are in the question. In this case, small bones : big bones. We get 9:6. We can then divide both sides by a common factor, in this case 3. The end result is 3:2. Hope this helps!

Answer:

arithmetic

Step-by-step explanation:

Answer:

k=63

Step-by-step explanation:

(k/3)+3=24

---> (k/3)=21

- this is because we subtracted 3 from each side

---> k=63

- this is because we multiplied each side by 3

i hope this helped :D

Answer:

k=63

Step-by-step explanation:

i jus checked

Answer: 10 quarts of blue paint for every 2 quarts of green paint

Step-by-step explanation: The graph represents the relationship between the number of quarts of blue paint in the mix, xx and the number of quarts of yellow paint, yy.

The point (2 , 10) on the graph indicates 2 quarts of blue paint for every 10 quarts of yellow paint .

Answer:

your answer is c l hipe this helps u

Answer:

d

Step-by-step explanation:

aint no way in hell its not 11

9514 1404 393

Answer:

  (x, y) = (8, 2)

Step-by-step explanation:

The relevant equations are ...

  3x -y = 22

  x +2y = 12

__

We can eliminate y by adding twice the first equation to the second.

  2(3x -y) +(x +2y) = 2(22) +(12)

  7x = 56

  x = 8

Substituting into the first equation gives ...

  3(8) -y = 22

  y = 24 -22 = 2

The first number is 8; the second number is 2.

Answer:

i need the answer too

Step-by-step explanation:

Answer:

-108

Step-by-step explanation:

PEMDAS

Multiply 2 x -3 = -6

-6 to the 3 power (-6 x -6 x -6) is -108

Answer:

Harlem is redecorating his room. A new desk costs (d) dollars. A bookshelf costs $114 less than the desk. A new lamp costs twice as much as the bookshelf. Write an expression showing how much all of Harlem s new furniture will cost.

Harlem is redecorating his room. A new desk costs (d) dollars. A bookshelf costs $114 less than the desk. A new lamp costs twice as much as the bookshelf. Write an expression showing how much all of Harlem s new furniture will cost.

Harlem is redecorating his room. A new desk costs (d) dollars. A bookshelf costs $114 less than the desk. A new lamp costs twice as much as the bookshelf. Write an expression showing how much all of Harlem s new furniture will cost.

Answer:

Decimal Form:1.766666...

Mixed Number Form: 1 23/30

Exact Form:53/30

Step-by-step explanation:

Answer:

75 percent

Step-by-step explanation:

250-175=75

0.75 X 250= 75perecent

Answer:

b trust me its b

Step-by-step explanation:

Answer: A

Step-by-step explanation: Granite is nearly always massive , hard, and tough.

Answer:

Step-by-step explanation:

Let the transmitter be located at (0,0)

The equation for its effective coverage area will be a circle centered at  (0,0)  with a radius of 49.

So....the equation is  

[tex]x^2 + y^2 = 49^2[/tex]

[tex]x^2 + y^2 = 2401[/tex]

Let the point 67 miles north of the transmitter be (0, 67)

Let the point 63  miles east of the transmitter be (63, 0)

The line connecting these (the line of travel)  will have a slope of

[67 - 0] / [ 0 - 63]  =  -67/63

The equation of this line will be: y  = (-67/63)x  + 67

The signal will be received between the points:

(21.681, 43.942)  and (45.192, 18.938)

The distance between these points  is

[tex]\sqrt{[ ( 45.192 - 21.681)^2 + ( 43.942 - 18.938)^2 ] } = 34.322 miles[/tex]    (1)

The distance  between (0, 63) and (67, 0)

[tex]\sqrt{[ ( 63)^2 + ( 67)^2 ] }=91.97miles[/tex] (2)

So....you will receive the signal using  (1)/ (2)    

(34.322 / 91.97) x 100  ≈  37%  of the drive

Answer:

A. base

Step-by-step explanation:

if this helped please press the pink "thanks" button

Answer:

16.6 :)

Step-by-step explanation:

PLZ FOLLOW ME

Answer:

75+ po e photo math nyo po sa play store I download nyo po

Step-by-step explanation:

sana po makatulong po

Answer:

There are 177,100 ways.

Step-by-step explanation:

Since there is no regard to order, we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

6 keyboards from a set of 25. So

[tex]C_{25,6} = \frac{25!}{6!(25-6)!} = 177100[/tex]

There are 177,100 ways.

Answer:

1) x < 30

2) x > 20

3) x >= 250

4) x > 20

5-10) I cant see the numbers on the graph

Step-by-step explanation:

Answer:

For the graphs you have to basically make those words into a mathematical equation to make more sense like for the first problem in which..

x>30

remember, open circles mean that its it can't be greater for symbols like < and >

closed circles are for inequalities that are greater than or equal to or less than or equal to which are these symbols: ≤ and ≥

Answer:

6 and 3/5

Step-by-step explanation:

This question s incomplete, the complete question is;

The Watson family and the Thompson family each used their sprinklers last summer. The Watson family's sprinkler was used for 15 hours. The Thompson family's sprinkler was used for 30 hours.

There was a combined total output of 1050 of water. What was the water output rate for each sprinkler if the sum of the two rates was 55L per hour  

Answer:

The Watson family sprinkler is 40 L/hr while Thompson family sprinkler is 15 L/hr

Step-by-step explanation:

Given the data in the question;

let water p rate for Watson family and the Thompson family sprinklers be represented by x and y respectively

so

x + y = 55  ----------------equ1

x = 55 - y ------------------qu2

also

15x + 30y = 1050

x + 2y = 70 --------------equ3

input equ2 into equ3

(55 - y) + 2y = 70

- y + 2y = 70 - 55

y = 15

input value of y into equ1

x + 15 = 55

x = 55 - 15

x = 40

Therefore, The Watson family sprinkler is 40 L/hr while Thompson family sprinkler is 15 L/hr

Answer: E. It is a double-blind study.

Step-by-step explanation:

This is a double blind study since the 60 individuals who partake in the study did not know they were participating in the study,

A double-blind study is a kind of study whereby the participants involved do not know that they are participating in a study and also don't know who'll end up getting a certain treatment. The aim of this is so that bias can be prevented in the study.

Answer:

36+41+59+36+27=199

Step-by-step explanation:

Answer:

203

Step-by-step explanation:

first grade 36

Second grade 36+7=43

third grade 36+25=61

forth grade 36

fifth grade 36-9=27

36+43+61+36+27=203