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AlladinOne [14]
4 years ago
5

A high school gym teacher randomly selects a group of two players from three students to demonstrate a basketball drill during c

lass. The three students consists of two girls, Andrea and Marta, and one boy, Davi.
Mathematics
1 answer:
Tcecarenko [31]4 years ago
5 0
1/3 chance to pick a boy 2/3 chance to pick a girl
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Rosalinda examined the angles at right and wrote the equation below.
jeyben [28]

a.  Does her equation make sense? If so,  explain why her equation  must be true.  If it  is not correct, determine what is incorrect and rewrite the equation.

b.  If you have not already done so, solve her equation, clearly showing all your  steps. What are the measures of the two angles?

c.  Verify  that your answer is correct.

The figure is attached below

Given : (2x+1) + (x-10) = 90

(a) Yes , the equation make sense because right angle is 90 degree. Also two angles make up 90 degree.

(b) solve for x,  (2x+1) + (x-10) = 90

2x+1 + x-10 = 90 ( combine like terms)

3x -9 = 90 (add 9 on both sides)

3x = 99

x = 33

One angle is 2x+1 = 2(33) +1 = 67 degrees

Another angle = x-10 = 33-10 = 23 degrees

(c) one angle + another angle = 90

67 + 23 = 90

So verified



7 0
3 years ago
4(5 + 2x) -5 = 3(3x + 7)
Pie

Answer:

x =  -1

Step-by-step explanation:

The first step is get rid of the numbers outside this (). So we will get

20+8x=9x+21 (multiplication) And we can get rid of one side of x by subtract 8x on both sides, an then we will get 20= x+21

And we can move the numbers to one side by subtract 21 on each side, and we will get -1=x

And rewrite it:

x = -1

That's the answer.

5 0
4 years ago
In August 2009 2009 2009 2009 , Usain Bolt ran 100 100 100 100 meters in 9.58 9.58 9.58 9, point, 58 seconds ( sec ) (\text{sec}
lbvjy [14]

Answer:

v = 11.41 yards/second

Step-by-step explanation:

Given that,

In August 2009, Usain Bolt run 100 m in 9.58 seconds.

1 yard = 0.9144 m

It means,

100 m = 109.361 yards

We need to find Usain Bolt's average speed in yards per second.

Average speed = total distance/time taken

v=\dfrac{109.361\ \text{Yards}}{9.58\ \text{seconds}}\\\\=11.41\ \text{Yards/second}

So, her average speed is 11.41 yards/second.

8 0
3 years ago
In the following question, the domain of discourse is a set of students at a university. Define the following predicates: E(x):
Alla [95]

Answer:

From the examples given below:

E(x): x is enrolled in the class T(x): x took the test ,

The following sentences can be translated into something similar like:

<em>1 E(x): All students enrolled in the class.</em>

<em>T(x): All students took the test. </em>

<em />

<em>2. E(x): Someone took the test  </em>

<em>T(x): Someone are enrolled in the class.</em>

<em />

<em>3. E(x): Everyone took the test  </em>

<em>T(x): Everyone is enrolled in the class.</em>

<em />

<em>4. E(x): At least one student  is enrolled in the class </em>

<em>T(x): At least one student did not take the test.</em>

<em />

Step-by-step explanation:

8 0
3 years ago
the difference between the simple interests received from 2 different banks on 2000 for 2 years is 30 the difference between the
Oxana [17]

The difference between the simple interests received from 2 different banks on 2000 for 2 years is 30 the difference between their rate of interest is 0.75%

The difference between the simple interest from two different banks after 2 years with principal 2000 is given as 30.

We will find the difference between the interest rate that was levied on each bank.

<h3>What is simple interest?</h3>

Simple interest is the interest charge on a given principal amount for a specific period of time.

The formula used to find simple interest :

      \frac{P\times R\times T}{100}

Where P = principal amount

           R = Rate

           T = Time.

Consider there are two banks A and B.

Bank A:

Simple interest = SI (A)

Rate of interest = R (A)

Principal = P(A)

Time = T(A)

Bank B:

Simple interest = SI (B)

Rate of interest = R (B)

Principal = P(B)

Time = T(B)

Principal amount P and time T are the same for both banks.

P(A) = 2000 = P(B)  and  T(A) = 2 = T(B).

Simple interest ( A ) = {P(A) x R(A) x T(A)} / 100

= {2000 x R(A) x 2} / 100

= 40 x R(A) ..............(1)

Simple interest ( B ) = {P(B) x R(B) x T(B)} / 100

= {2000 x R(B) x 2} / 100

= 40 x R(B) ................(2)

The difference between the simple interest from two different banks after 2 years with principal 2000 is 30.

We can write it as:

Simple interest ( A ) - Simple interest ( B ) = 30

From (1) and (2).

40 x R(A) - 40 x R(B) = 30

40 {R(A) - R(B)} = 30

R(A) - R(B) = 30 / 40
R(A) - R(B) = 0.75 %

Thus the difference between the rate of interest of the two banks is 0.75%

Learn more about simple interests here:

brainly.com/question/25845758

#SPJ1

8 0
2 years ago
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