Identify the shortest side of ABC

Answer:

y=1/2x-7/4

Step-by-step explanation:

(3.5, 0)

Answer: See explanation

Step-by-step explanation:

Cluster sampling, is a form of sampling whereby the population is divided by the researchers into smaller groups that are referred to as clusters and then the sample will be taken from the clusters formed.

Convenience sampling is when a sample is drawn based on the available population.

Systematic sampling is when a sample is gotten when the members are taken at regular intervals e.g 5th person, 12th items etc.

Simple random sampling is when the sample is selected from the larger population and in this case, every member involved can be selected as they all have an equal chance.

Based in the definition above, the answers will be:

a. Cluster sample

b. Convenience sample

c. Systematic sample

d. Simple random sample

Answer:

x = 3

Step-by-step explanation:

x =  (sq rt 3)( sq rt 3)  because the leg opposite the 30 degree angle (sq rt 3) times the set value of sq rt 3 = the leg adjacent to the 30 degree angle.

x = (sq rt 3)(sq rt 3)

x = 3

Answer:

a. 0.96 = 96% probability that the number is odd.

b. 0.48 = 48% probability that the sum of the digits is odd.

c. 0.24 = 24% probability that the number is greater than 70.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

We are given the prime numbers less than 100, they are:

2,3,5,7,11,13,17,19,23,29,31,37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

There are 25 prime numbers less than 100.

a. The number is odd

Of the 25, 24 are odd, only the number 2 is even. So

24/25 = 0.96 = 96%

0.96 = 96% probability that the number is odd.

b. The sum of the digits is odd

The sum of the digits is odd for:

3, 5, 7, 23, 29, 41, 43, 47, 61, 67, 83, 89. So for 12 of them

12/25 = 0.48 = 48%

0.48 = 48% probability that the sum of the digits is odd.

c. The number is greater than 70

71, 73, 79, 83, 89, 97. 6 of them

6/25 = 0.24 = 24%

0.24 = 24% probability that the number is greater than 70.

A) The probability that one of the numbers is odd is; 96%

B) The probability that the sum of the digits is odd is; 48%

C) The probability that the number is greater than 70 is; 25%

We are given the prime numbers;

2,3,5,7,11,13,17,19,23,29,31,37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

This is a total of 25 prime numbers.

Thus; N = 25

A) The number of odd numbers are 24.

Thus,probability of selecting an odd number is;

P(odd number) = 24/25

P(odd number) = 0.96 or 96%

B) The numbers that their sum is odd are:

3, 5, 7, 23, 29, 41, 43, 47, 61, 67, 83, 89

Kindly note that the single numbers are added to zero to make them odd too.

Thus there are 12 of them that their sum are odd.

P(sum is odd) = 12/25

P(sum is odd) = 0.48 or 48%

C) The numbers that are greater than 70 from the list are 71, 73, 79, 83, 89, 97. This is a total of 6 numbers.

Thus;

P(number is greater than 70) = 6/25

P(number is greater than 70) = 0.25 or 25%

Read more about probability of selection of numbers at; https://brainly.com/question/251701

Answer:

(1.5,-4) top left (-1.5,4)

Step-by-step explanation:

The point lies in the bottom right at (1.5,-4), and if you reflcting it across the x and y axis the point is going to be in the oppisite quadrant and oppisite of the original point. example if the coordinates are X value, reflecting them will make it -x, making positves negatives and vice versa.

P. S. you should start reviewing  your school work for a test like a week before to have enough time to review it all.

Answer:

Circumference = 37.68

Area = 113.04

Step-by-step explanation:

Circumference = π × d

Circumference = 3,14 × 12 feet

Circumference = 37.68

Area = π × r²

Area = 3,14 × 6 × 6

Area = 113.04

Answer:

312

Step-by-step explanation:

We can calculate by dividing it into 2 parts. The first part has length of 6, width of 4 and height of 2, so volume of this part is 48. Similarly, we can calculate that the volume of the second part is 264. Hence, the total volume is 312.

Answer:

Volume of the figure= 312 yd²

Step-by-step explanation:

Okay let's split this figure up into two different rectangles. Let's draw the line at the part of the rectangle that is nearest us (looking at the picture). The little part where it says 6 yd. and 4 yd.

We know volume is V= lwh

Start with the main rectangle (bigger one)

I see l=12, w=11, and h=2

So V(of main rectangle)=12x11x2

V(of main rectangle)=264

We have to go do the smaller rectangle now

I see l=4, w=6, but I know the h=2 because the height is the same as the main triangle.

So V(of smaller rectangle)=6x4x2

V(of smaller rectangle)=48

Now knowing the volume of the main and smaller rectangle, we have to add them to find the volume of the figure.

V(of smaller rectangle) + V(of main rectangle)

264 + 48

Volume of the figure= 312 yd²

Answer:

5351.2

Step-by-step explanation:

596 times 9 = 5364

64 divided by 5 = 12.8

5364 minus 12.8 = 5351.2

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

The corresponding sides are proportional:

  (2x +1)/5 = (x +2)/3

  3(2x +1) = 5(x +2) . . . . . cross multiply

  6x +3 = 5x +10 . . . . . . . eliminate parentheses

  x = 7 . . . . . . . . . . . . . . . subtract 5x+3 from both sides

Answer:

to graph an inequality you need a variable. your question does not have a variable. please rewrite the question.

Answer:

88

Step-by-step explanation:

The mode is the number that occurs the most in a data set, and 88 is the only number that occurs twice.

9514 1404 393

Answer:

  437.3 ft

Step-by-step explanation:

The angle of depression can be copied inside the triangle to the angle of elevation (at lower right). Then the side x can be seen to be adjacent to the angle.

The mnemonic SOH CAH TOA reminds you of the relations. Here, we have the hypotenuse and we want the adjacent angle. The relevant relation is ...

  Cos = Adjacent/Hypotenuse

  cos(29°) = x/(500 ft)

Multiplying by 500 ft gives ...

  x = (500 ft)cos(29°)

  x ≈ 437.3 ft

_____

Additional comment

You have posted a number of problems that make use of this geometry. They are all solved the same way:

  a) identify the desired measure and the given measures

  b) using SOH CAH TOA, identify the relation applicable to those measures

  c) fill in the given values in the equation

  d) solve for the unknown

You may need to make use of what you know about angles and triangles in order to relate given angles to ones you need to use.

Answer:

24$

Step-by-step explanation:

12m/1.5m=8 8*3=24

Answer:

False

Step-by-step explanation:

Since rounding 312 to the nearest hundred will be 300 and not 3 and rounding 9.12 to the nearest one is 9

and 300≠9

Answer:

f(-3) means, put -3 at x

therefore, f(-3)= 3²+1

=10

Answer she used 4.5 for each bag.

Step-by-step explanation:

Answer:

2/9 or

0.2222222222222222222222222222222222222222222222222222222222222222... decimal

Step-by-step explanation:

Answer:

choose "infinitely more solutions"

Step-by-step explanation:

Let's solve this system by substitution method

y+1=2x

- 1 = - 1

y = 2x -1   <-- sbstitute this in the next equation

---------------------------------------------------------------------------------

    5y+5 = 10x

5(2x -1) + 5 = 10x

10x -5 + 5 = 10x

10x + 0= 10x

- 10x = -10x

0 = 0      <-- infinitely more solutions

Answer:

5+5=10x

45×+=1+32=

Answer:

4/5

Step-by-step explanation:

The ratio of girls to boys is 12/15. Since, there are 12 girls to the 15 boys in the classroom.

Then, you would simplify 12/15.

The simplified form of 12/15 is 4/5

Answer:

Is there a photo I can look at to determine the answer?

Step-by-step explanation:

Answer:

ur missing:

images

materials list

sequential steps

title

Step-by-step explanation:

I was also looking for an answer lol!

Answer:

4

Step-by-step explanation:

1. the distance between A and B can be calculated:

[tex]|AB|=\sqrt{(4+4)^2+(-4-2)^2} =10.[/tex]

2. the distance between B and C can be calculated:

[tex]|BC|=\sqrt{(-4+4)^2+(2+4)^2} =6.[/tex]

3. if AB=10, BC=6, then difference between them is 4.

Answer:

34

Step-by-step explanation:

please mark brainly :)

Answer:

x = 8

Step-by-step explanation:

✔️Area of the square = s²

Where,

s = (2x - 4)

Area = (2x - 4)² = (2x - 4)(2x - 4) = 2x(2x - 4) -4(2x - 4)

= 4x² - 8x - 8x + 16

Area of square = 4x² - 16x + 16

Area of rectangle = L × W = (3x - 6) × x

= 3x² - 6x

✔️Since both have the same area, therefore,

4x² - 16x + 16 = 3x² - 6x

Collect like terms

4x² - 3x² - 16x + 6x + 16 = 0

x² - 10x + 16 = 0

Factorize

x² - 2x - 8x + 16 = 0

x(x - 2) -8(x - 2) = 0

(x - 2)(x - 8) = 0

(x - 2) = 0 or (x - 8) = 0

x = 2 or x = 8

If we plug in x = 2 into any of the given side length, we would have 0. (i.e. 2x - 4 = 2*2 - 4 = 0)

So the value of x cannot be 2 because the length of any of the shape cannot be 0.

So therefore, the value of x = 8

Answer:

31/40 is a fraction of 77.5

Answer:

Well, 77.5 in fraction form is 77 1/2, also simplified.

Step-by-step explanation:

Answer:

9,17

Step-by-step explanation:

larger no=8+smaller no

larger no+ smaller no= 26

::8+s(larger no from equation 1 )+s=26

*2s=18

*s=9

Answer:

B. 8 + 5

Step-by-step explanation:

5 - (-8)

= 5 + 8

= 8 + 5