What number must go into the text box so that the expression is equivalent to 4x + 12. Please type in the NUMBER into the text b
1 answer:
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Answer:
Null and alternative hypothesis
Test statistic
P-value
The null hypothesis is rejected.
It is concluded that the proportion of households tuned into the program is less than 25%. The claim of the advertiser is rigth and got statistical support.
Step-by-step explanation:
We have to perform a hypothesis test of a proportion.
The claim is that less than 25% were tuned into the program, so we will state this null and alternative hypothesis:
The signifiance level is 0.01.
The sample has a proportion p=0.1 and sample size of n=6000.
The standard deviation of the proportion, needed to calculate the test statistic, is:
The test statistic is calculated as:
As this is a one-tailed test, the P-value is P(z<-26.82)=0. The P-value is smaller than the significance level (0.01), so the effect is significant.
Since the effect is significant, the null hypothesis is rejected. It is concluded that the proportion of households tuned into the program is less than 25%. The claim of the advertiser is rigth and got statistical support.
Given:
ΔONP and ΔMNL.
To find:
The method and additional information that will prove ΔONP and ΔMNL similar by the AA similarity postulate?
Solution:
According to AA similarity postulate, two triangles are similar if their two corresponding angles are congruent.
In ΔONP and ΔMNL,
(Vertically opposite angles)
To prove ΔONP and ΔMNL similar by the AA similarity postulate, we need one more pair of corresponding congruent angles.
Using a rigid transformation, we can prove
Since two corresponding angles are congruent in ΔONP and ΔMNL, therefore,
(AA postulate)
Therefore, the correct option is A.