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Nuetrik [128]
2 years ago
10

Im running out of time Somebody help me out please ​

Mathematics
2 answers:
kobusy [5.1K]2 years ago
8 0

Answer:

3, 4, and 5

Step-by-step explanation:

To put it simply, 3 + 4 + 5 = 12 and the numbers are consecutive, next to each other.

The method:

The three consecutive numbers could be called x, x + 1, and x + 2 and we know that x + x + 1 + x + 2 = 12

This can be simplified to 3x + 3 = 12. Next, subtract 3 from both sides to get 3x = 9. Now, divide both sides by 3 to get x = 3.

This means that the first number is 3 and the other numbers are 4 (3 + 1) and 5 (3 + 2).

Hope this helps!

tiny-mole [99]2 years ago
8 0

Answer:

  • The numbers are 3, 4 and 5.

Step-by-step explanation:

<u>Let's name the three consecutive number x, x + 1, and x + 2.</u>

  • => x + x + 1 + x + 2 = 12
  • => 3x + 3 = 12
  • => 3x = 9
  • => x = 3

<u>Now, just substitute the value of x into all the numbers to get your answers.</u>

  • => x, x + 1, x + 2
  • => 3, 3 + 1, 3 + 2
  • => 3, 4, 5

Hence, the numbers are 3, 4 and 5.

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An engineer is comparing voltages for two types of batteries (K and Q) using a sample of 37 type K batteries and a sample of 58
Olegator [25]

Answer:

Hypothesis Test states that we will accept null hypothesis.

Step-by-step explanation:

We are given that an engineer is comparing voltages for two types of batteries (K and Q).

where, \mu_1 = true mean voltage for type K batteries.

           \mu_2 = true mean voltage for type Q batteries.

So, Null Hypothesis, H_0 :  \mu_1 = \mu_2 {mean voltage for these two types of

                                                        batteries is same}

Alternate Hypothesis, H_1 : \mu_1 \neq \mu_2 {mean voltage for these two types of

                                                          batteries is different]

<em>The test statistics we use here will be :</em>

                     \frac{(X_1bar-X_2bar) - (\mu_1 - \mu_2) }{s_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2}  } }  follows t_n__1 + n_2  -2

where, X_1bar = 8.54         and     X_2bar = 8.69

                s_1  = 0.225       and         s_2     =  0.725

               n_1   =  37           and         n_2     =  58

               s_p = \sqrt{\frac{(n_1-1)s_1^{2}+(n_2-1)s_2^{2}  }{n_1+n_2-2} } =   \sqrt{\frac{(37-1)0.225^{2}+(58-1)0.725^{2}  }{37+58-2} }  =  0.585               Here, we use t test statistics because we know nothing about population standard deviations.

     Test statistics =  \frac{(8.54-8.69) - 0 }{0.585\sqrt{\frac{1}{37}+\frac{1}{58}  } } follows t_9_3

                             = -1.219

<em>At 0.1 or 10% level of significance t table gives a critical value between (-1.671,-1.658) to (1.671,1.658) at 93 degree of freedom. Since our test statistics is more than the critical table value of t as -1.219 > (-1.671,-1.658) so we have insufficient evidence to reject null hypothesis.</em>

Therefore, we conclude that mean voltage for these two types of batteries is same.

6 0
3 years ago
Find the sum of the interior angle measures of the polygon.
Andru [333]
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4 0
3 years ago
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Olegator [25]

Polynomials are algebraic expressions represented by variables and coefficients.

<h3>(a) How to determine the interval the open seats increased</h3>

This is the interval, where the open seats increase the same time the time in minutes increases.

From the graph, the open seats increases at the interval (100, 600)

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This is the first point where the curve changes its direction from decreasing values to increasing values

From the graph, the curve changes its direction at point (25,100)

Hence, the first meeting ended at 10:25 AM

<h3>(c) When there were 700 open seats</h3>

From the graph, we have:

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Hence, there were 700 open seats at 10:05 AM

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At 10:00 AM, we have:

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At 10:25 AM, we have:

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So, the average rate of change is:

m = \frac{y_2 -y_1}{x_2 -x_1}

This gives

m = \frac{100 - 800}{25 - 0}

m = \frac{-700}{25 }

m = -28

Hence, the average rate of change from 10:00 AM to 10:25 AM is -28 people per minute

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SVETLANKA909090 [29]

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