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ss7ja [257]
2 years ago
13

To raise money for a local charity, students organized a wake-a-thon

Mathematics
1 answer:
arsen [322]2 years ago
6 0

Answer:

a) T= 3.125h

b) $75

Step-by-step explanation:

Given: We know Tania raised $50 for staying awake 16 hours. We also know the amount of money raised varies directly with the time.

We can divide $50 into 16 hours.

50/16 = 25/8

25/8 = 3.125

3.125 = 3 1/8 (You can use a fraction or decimal, whichever is preferred)

That's how much money she earns per hour. It may not make sense because you have 1/8 of a dollar, so it's okay if you're a little confused on that.

Now let's answer the first question: Write an equation relating the money Tania raised and the  amount of time, in hours, she stayed awake.

We know Tania earns $3.125 per hour, so we can make it this equation

T= 3.125h

T can represent Tania's earnings, and 3.125 is how much she earns h, hourly.

Now onto the second question: How much would she have raised by staying awake for 24 h?

We need to multiply 3.125, or 3 1/8, 24 times. Your answer should be $75.

(I apologize in advance if I misread something or made a mistake)

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posledela

Answer:

The value of the test statistic z = -0.6606

Step-by-step explanation:

From the question we are told that

      The high dropout rate is \mu  = 6.1%  = 0.061

      The  sample size is  n = 1000

       The  number of dropouts x = 56

       The probability of having a dropout in 1000 people  \= x  = \frac{56}{1000}  =  0.056

Now setting up Test Hypothesis

 Null  H_o :  p = 0.061

 Alternative  H_a : p < 0.061        

The Test statistics is mathematically represented as

                 z = \frac{\= x - p}{\sqrt{\frac{p(1 -p)}{n} } }

substituting values

               z = \frac{0.056 - 0.061}{\sqrt{\frac{0.061(1 -0.061)}{1000} } }

               z = -0.6606

6 0
2 years ago
leona has three dollars less than skye. together they have 17 dollars. how much money does skye have?
Fynjy0 [20]
L has "x -3"
S has "x"

x + x - 3 = 17

2x -3 (+3) = 17 (+3)

2x = 20

2x/2 = 20/2

x = 10

Leona has x - 3, or 10 - 3, or 7 dollars
Skye has 10 dollars

hope this helps
5 0
2 years ago
Need help pls! Answer asap
Lostsunrise [7]
1. 130°

I don't remember too many specifics from my past math classes, but I always remembered this because that is an upside-down mirror of the 130° angle.

2. 50°

A straight line is 180°, and 180 - 130 = 50.
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Step-by-step explanation:

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3 years ago
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Answer:520

Step-by-step explanation:

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