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Dafna1 [17]
2 years ago
8

People in a town voted for a new councillor.

Mathematics
1 answer:
Jet001 [13]2 years ago
4 0

Answer: look im more dumper than u soo im sorry

Step-by-step explanation:

You might be interested in
Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well
laiz [17]

Answer:

The  value is  P(A) =  0.133617

Step-by-step explanation:

From the question we are told that

  The  mean is  \mu =  7.5

  The standard deviation is  \sigma  =  0.2

  The safest water level is  between  7.2 and  7.8

Generally the probability that the selected pool has a pH level that is not considered safe is mathematically represented as

       P(A) =  1 - P(7.2 \le X  \le 7.8 )

Here  

      P(7.2 < X  < 7.8 ) = P(\frac{ 7.2 - \mu }{\sigma } <  \frac{X - \mu }{ \sigma }

Generally \frac{X - \mu }{ \sigma } =  Z (The  \ standardized \  value  \  of  X )

So

 P(7.2 < X  < 7.8 ) = P(\frac{ 7.2 - 7.5 }{0.2 } < Z    

 P(7.2 < X  < 7.8 ) = P(-1.5 < Z  

=>  P(7.2 < X  < 7.8 ) = P(Z <  1.5) - P(  Z < - 1.5)

From the z-table the probability of  (Z <  -1.5) and   (  Z <1.5)  are

    P(Z <  1.5) =  0.93319

and  

    P(Z <  -1.5) =  0.066807

So

      P(7.2 < X  < 7.8 ) =0.93319 - 0.066807

       P(7.2 < X  < 7.8 ) =0.0866383

So

   P(A) =  1 - 0.0866383

=>  P(A) =  0.133617

5 0
2 years ago
The true average diameter of ball bearings of a certain type is supposed to be 0.5 in. A one-sample t test will be carried out t
Naily [24]

Answer:

Option C - Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in

Step-by-step explanation:

We are given;

n = 15

t-value = 1.66

Significance level;α = 0.05

So, DF = n - 1 = 15 - 1 = 14

From the one-sample t - table attached, we can see that the p - value of 0.06 at a t-value of 1.66 and a DF of 14

Now, since the P-value is 0.06,it is greater than the significance level of 0.05. Thus we do not reject the null hypothesis. We conclude that there is not sufficient evidence that the true diameter differs from 0.5 in.

8 0
2 years ago
Which function represents the sequence –7.25, –6.75, –6.25, –5.75, … ?
adoni [48]
I believe it's -5.25 because it's adding .50 everytime
6 0
2 years ago
Read 2 more answers
Max is going to order Breakfast Platter up The Breakfast Club. He can choose one style of eggs, one type of meat, and one kind o
storchak [24]

Answer:

48

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Which products result in a difference of squares? Check all that apply. (5z + 3)(–5z – 3) (w – 2.5)(w + 2.5) (8g + 1)(8g + 1) (–
taurus [48]

Answer:

(w - 2.5)(w + 2.5)

(-4v - 9)(-4v + 9)

Step-by-step explanation:

* Lets explain what is the a difference of two squares

- If we multiply two binomial and the answer just two terms with

 negative sign between them and the two terms are square numbers

 we called this answer a difference of two squares

- Examples

# (a + b)(a - b)

- Lets multiply them

∵ (a × a) + (a × -b) + (b × a) + (b × -b)

∴ a² - ab + ba - b²

- Add the like term

∵ ab = ba

∴ -ab + ba = 0

∴ (a + b)(a - b) = a² - b² ⇒ difference of two squares

- From above the difference of two squares appears when we

 multiply sum and difference of the same two terms

# (a + b) ⇒ is the sum of a and b

# (a - b) ⇒ is the difference of a and b

* Now lets solve the problem

- In (5z + 3)(-5z - 3)

∵ (5z + 3) ⇒ is the sum of 5z and 3

∵ (-5z - 3) ⇒ is the difference of -5z and 3

∵ 5z ≠ - 5z

∴ They are not the sum and difference of the same two terms

∴ The product result not in a difference of squares

- In (w - 2.5)(w + 2.5)

∵ (w - 2.5) is the difference between w and 2.5

∴ (w + 2.5) is the sum of w and 2.5

∴ They are the sum and difference of the same two terms

∴ The product result in a difference of squares

- In (8g + 1)(8g + 1)

∵ The two brackets are the sum of 8g and 1

∴ They are not the sum and difference of the same two terms

∴ The product result not in a difference of squares

- In (-4v - 9)(-4v + 9)

∵ (-4v - 9) is the difference between -4v and 9

∵ (-4v + 9) is the sum of -4v and 9

∴ They are the sum and difference of the same two terms

∴ The product result in a difference of squares

- In (6y + 7)(7y - 6)

∵ (6y + 7) is the sum of 6y and 7

∵ (7y - 6) is the difference between 7y and 6

∵ 6y ≠ 7y and 7 ≠ 6

∴ They are not the sum and difference of the same two terms

∴ The product result not in a difference of squares

- In (p - 5)(p - 5)

∵ The two brackets are the difference of p and 5

∴ They are not the sum and difference of the same two terms

∴ The product result not in a difference of squares

8 0
2 years ago
Read 2 more answers
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