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Vlad1618 [11]
3 years ago
7

A school has 510 male students and 850 female students. If a student from the school is selected at random, what is the probabil

ity that the student would be a male?
- 0.5
- 1
- 0.375
- 0.625
Mathematics
1 answer:
Colt1911 [192]3 years ago
5 0

Answer:

0.375

Step-by-step explanation:

510 male out of a total of 1360

510/1360 = 0.375

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Zack watered his garden with 1 3/8
victus00 [196]

Answer:

<u>The correct answer is that Zack used 2 7/8 gallons to water his garden on the fifth week.</u>

Step-by-step explanation:

Let's find out the pattern Zack is using to water his garden, this way:

First week =  1 3/8  gallons of water

Second week = 1 3/4 gallons of water = 1 3/8 + 3/8 = 1 6/8 = 1 3/4

Third week = 2 1/8 gallons of water = 1 3/4 + 3/8 = 1 6/8 + 3/8 = 2 1/8

The constant of adding every week is 3/8 gallons, therefore,

Fourth week = 2 1/8 + 3/8 = 2 4/8 = 2 1/2 gallons of water

Fifth week = 2 1/2 + 3/8 = 2 4/8 + 3/8 = 2 7/8 gallons of water

<u>The correct answer is that Zack used 2 7/8 gallons to water his garden on the fifth week.</u>

3 0
3 years ago
What is the value of x in the diagram?
PilotLPTM [1.2K]

Answer:

65

Step-by-step explanation:

They are vertical angles; so angles are congruent

*<em>Vertical angles are always congruent*</em>

<em>Congruent means equal or same.</em>

1) Since they are congruent, you form an equation.

<h2>145 = 2x + 15</h2>

2) Solve by subtracting 15 from both sides.

<h2>145 = 2x + 15</h2><h2>- 15            -15</h2><h2>----------------------</h2><h2>130 = 2x</h2>

3) Solve by dividing 2 from both sides

<h2>130/2 = 2x/2</h2>

4) Simplify

x = 65

7 0
2 years ago
The sum of 5 consecutive odd integers is 2,555. What is the sum of the first, third, and last integer?
Lilit [14]

Answer:

The sum of the first, third, and last integer is 1533.

Step-by-step explanation:

<u><em>Step 1: You need to create a equation first:</em></u>

n + n + 2 + n + 4 + n + 6 + n + 8 = 2555

<u><em>How did I make the equation?</em></u>

If n is odd number, n + 2 must be the consecutive odd number

5 , 5 + 2 , 5 + 4 , 5 + 6 , 5 + 8

5, 7, 9, 11, 13  ALL CONSECUTIVE ODD NUMBERS

<u><em>Step 2: Simplifying the equation</em></u>

n + n + 2 + n + 4 + n + 6 + n + 8 = 2555

5n + 20 = 2555

<u><em>Step 3: Solving the equation, with explanation</em></u>

5n + 20 = 2555       Subtract 20 on both sides

        5n = 2535        Isolate the variable by dividing 5 on both sides

          n = 507

<u><em></em></u>

<u><em>Step 4: Plug in the value</em></u>

n + n + 2 + n + 4 + n + 6 + n + 8

507,  507 + 2 , 507 + 4 , 507 + 6 , 507 + 8

507, 509, 511, 513, 515

<u><em>Step 5:  Solve the sum of the first, third, and last integer</em></u>

507 + 511 + 515 = 1533

<u><em>Step 6: THE ANSWER</em></u>

1533

<h3><u><em>Hope this helps!!! </em></u></h3><h3><u><em>Please mark this as brainliest!!! </em></u></h3><h3><u><em>Thank You!!! </em></u></h3><h3><u><em>:)</em></u></h3>
8 0
3 years ago
The following picture is a square pyramid where DE=8 cm and m∠ADE=60°.
mr_godi [17]

Answer:

131 cm

Step-by-step explanation:

formula for surface area of pyramid is

S = (1/3)Bh

but the base ia a square, so B = x^{2}

S = (1/3)x^{2} h

the pic shows h = 8

but we don't know x

do SohCahToa

sin60 = x/8

x = 8sin60

x = 6.92820323 or 7

plug in numbers

S = (1/3)7^{2}8

S = 392/3

S = 130.6666667 or 131 cm

5 0
2 years ago
How do you write 2.02 in fraction form??
Aleksandr-060686 [28]

Answer: 2 2/10

Step-by-step explanation:

7 0
3 years ago
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