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Phantasy [73]
4 years ago
15

Solve the equation. show your work. check your answer. 4y + 5 = - 31

Mathematics
2 answers:
zloy xaker [14]4 years ago
8 0
5 = -31 -4y.
4y = -36
36/4 = 9
y= -9
Assoli18 [71]4 years ago
4 0
4y + 5= -31
4y/4 + 5/4 =  -31/4
y + 1.25 = -7.75
  -1.25       -1.25
y = -9
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Based on the sample of 500 people, 42% owned cats. Calculate the test statistic. Round to two decimal places.
Tanzania [10]

Answer:

z= 3.63

z for  significance level = 0.05 is ± 1.645

Step-by-step explanation:

Here p = 42% = 0.42

n= 500

We formulate our null and alternative hypotheses as

H0: p= 0.42     against Ha : p> 0.42 One tailed test

From this we can find q which is equal to 1-p= 1-0.42 = 0.58

Taking p`= 0.5

Now using the z  test

z= p`- p/ √p(1-p)/n

Putting the values

z= 0.5- 0.42/ √0.42*0.58/500

z= 0.5- 0.42/ 0.0220

z= 3.63

For one tailed test the value of z for  significance level = 0.05 is ± 1.645

Since the calculated value does not fall in the critical region we reject our null hypothesis  and accept the alternative hypothesis that more than 42%  people owned cats.

4 0
4 years ago
A school is planning an event to raise 1000 for charity. The cost of organizing the event is 200. The tickets are priced at 6 pe
alexdok [17]

Answer:

a) 1200

b) 150

Step-by-step explanation:

a) total revenue = target amount + expenses

... total revenue = 1000 + 200

... total revenue = 1200

b) total revenue = adult tickets × adult ticket price

... 1200 = adult tickets × 8 . . . . . . . . . . fill in the information you know

... 1200/8 = adult tickets = 150 . . . . . divide by 8

4 0
3 years ago
Read 2 more answers
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Free_Kalibri [48]

Answer:

\boxed{c. \: 14 - 21n \: \: \: \: and \: \: \: \: d. \:  (2 - 3n) \times 7}

Step-by-step explanation:

7(2 - 3n) =  (2 - 3n) \times 7\\  \\  \:  \:  \:   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: =(7 \times 2) - (7 \times 3n) \\  \\  \:  \:  \:   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: = 14 - 21n

5 0
3 years ago
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Genrish500 [490]

Answer: -3.5

Step-by-step explanation:

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8 0
3 years ago
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X=y^2<br> Does the equation define y as a function of x?
dlinn [17]

Answer: no it does not

6 0
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