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3 years ago

7

The scatter plot had a trend line with an equation of y=11x + 12, where y is the total number of retail stores and x is the numb

er of years since 1990. Tracy and her family moved to the city in 2003. Use the equation to predict how many retail stores there were in 2003.

1 answer:

melomori [17]3 years ago

4 0

Answer: 155

Step-by-step explanation:

y=11x+12

2003-1990=13

13×11=143

y=143+12

155=143+12

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If the p-value is smaller than the level of significance, what conclusion should we reach?

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If the p-value is smaller than the level of significance, then it indicates strong evidence against the null hypothesis, as there is less than a 5% probability the null hypothesis is correct.

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A p-value is a probability, calculated after running a statistical test on data and it lies between 0 and 1. The p-value only tells you how likely the data you have observed is occurred under the null hypothesis.

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1 year ago

(05.08A)Triangle ABC is transformed to similar triangle A′B′C′ below:

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1st option is correct i.e., 1 over 2

Step-by-step explanation:

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Coordinated of Triangle A'B'C' are A'(1,3), B'(1,2) and C'(2,2)

Scale factor of Dilation is the no. of times coordinates of vertices of a figure increase or decrease.i.e.,

if A(a,b) ⇒ A'(c,d)

where, a.k=c & b.k=d then k is scale factor of dilation.

Value of k is same for all vertices.

For coordinates of A & A' ,we have $2.k=1\implies k=\frac{1}{2} \:\: and \:\: 6.k=3\implies k=\frac{1}{2}$

For coordinates of B & B' ,we have $2.k=1\implies k=\frac{1}{2} \:\: and \:\: 4.k=2\implies k=\frac{1}{2}$

For coordinates of C & C' ,we have $4.k=2\implies k=\frac{1}{2} \:\: and \:\: 4.k=2\implies k=\frac{1}{2}$

Therefore, the scale factor of dilation is $\:\frac{1}{2}\:$ since in all cases $k=\frac{1}{2}$

1st option is correct i.e., 1 over 2

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3 years ago