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spin [16.1K]
2 years ago
5

I WILL GIVE BRAINLIEST AND 50 POINTSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS

Mathematics
1 answer:
mars1129 [50]2 years ago
3 0

Answer:

we get Rate of change = -3

Step-by-step explanation:

We need to calculate the rate of change for the following data:

x     y

-1     7

2     -2

7     -17

10   -26

The rate of change can be calculated using slope formula: Rate\:of\:change=\frac{y_2-y_1}{x_2-x_1}

From the table, we can take any 2 points

Suppose we take (-1,7) and (2,-2)

We have: x_1=-1, y_1=7,x_2=2, y_2=-2

Putting values in formula and finding rate of change

Rate\:of\:change=\frac{y_2-y_1}{x_2-x_1}\\Rate\:of\:change=\frac{-2-7}{2-(-1)}\\Rate\:of\:change=\frac{-9}{2+1}\\Rate\:of\:change=\frac{-9}{3}\\Rate\:of\:change=-3

So, we get Rate of change = -3

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The district manager of four different restaurants wanted to investigate whether the four restaurants differed with respect to c
Alex_Xolod [135]

Answer:

<em>Hello your question is incomplete attached below is the complete question</em>

answer : There is not convincing statistical evidence to suggest that the proportion of customers who order dessert at each restaurant is not the same based on family classification. ( E )

Step-by-step explanation:

To arrive at this conclusion we will determine the Null and alternate hypothesis

<em>H0 : Number that orders dessert is same based on family classification given</em>

<em>Ha : Number that orders dessert is not the same based on family classification given </em>

from the question the p-value of Chi-square test is 0.092 > 0.05 hence we will fail to reject the null hypothesis. therefore we can conclude that

There is not convincing statistical evidence to suggest that the proportion of customers who order dessert at each restaurant is not the same based on family classification

5 0
3 years ago
35 = 1/2(x-5)(x-14) what does x equal?
Yanka [14]
The answer is x=19.
Hope it helps! (:
3 0
3 years ago
the large Square above has area 9 is divided into 9 smaller squares of equal area what is the length of how strong and bold
Kay [80]
If one square is divided into 9 smaller equal squares, then they have to be arranged in 3 lines of 3, that is 3 smaller equal squares per side of the original big square. That said, the area of the big square is equal to the multiplication of 3 small squares sides times 3 small squares sides, call x the length of the small squares.
So,
area = 9 = 3x*3x
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8 0
3 years ago
Carly bought a new house for $125,000. The value of the house appreciates approximately 3.5% each year. What will be the value o
mixer [17]
For 1 year, the house appreciates $4375 (3.5% of 125,000). Therefore after 10 years, $4375(10) = $43750. $125,000+ $43750 = $168,750.
6 0
2 years ago
Read 2 more answers
Silicon wafers are scored and then broken into the many small microchips that will he mounted into circuits. Two breaking method
antoniya [11.8K]

Answer:

a

The estimate is  - 0.0265\le  K \le  0.0465

b

Method B this is because the faulty breaks are less

Step-by-step explanation:

The number of microchips broken in method A is  n_1 = 400

The number of faulty breaks of method A is  X_1 = 32

 The number of microchips broken in method B is  n_2  = 400

 The number of faulty breaks of method A is  X_2 = 32

  The proportion of the faulty breaks to the total breaks in method A is

       p_1 = \frac{32}{400}

      p_1 = 0.08

 The proportion of the faulty to the total breaks in method B is

      p_2 =  \frac{28}{400}

     p_2 =  0.07

For this estimation the standard error is  

      SE =  \sqrt{ \frac{p_1 (1 - p_1)}{n_1}  + \frac{p_2 (1- p_2 )}{n_2} } }

  substituting values

       SE =  \sqrt{ \frac{0.08 (1 - 0.08)}{400}  + \frac{0.07 (1- 0.07 )}{400} } }

      SE = 0.0186

The z-values of confidence coefficient of 0.95 from the z-table is  

       z_{0.95} =  1.96

The difference between proportions of improperly broken microchips for the two breaking methods is mathematically represented as

        K = [p_1 - p_2 ] \pm z_{0.95} * SE

substituting values

        K = [0.08 - 0.07 ] \pm 1.96 *0.0186

         K  =  - 0.0265 \ or  \ K  =  0.0465

The interval of the difference between proportions of improperly broken microchips for the two breaking methods is  

      - 0.0265\le  K \le  0.0465

3 0
2 years ago
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