Notice the larger triangle is a right-triangle, and the small one is also a right-triangle. Also notice the "angle tickmark" on each. So both angles have a pair of angles that are equal on each.
the triangles are similar by AA.
Answer:
705,000
Step-by-step explanation:
To round to the nearest thousand, you look at the number to the right of 5. If the number is 5 or higher then you round 5 up. But it is 4 so you keep 5 the same. All of the numbers after 5 are now 0. 705,000
Answer:
If the p-value is less than a given significance level, you reject the null hypothesis and accept the alternative hypothesis.
Step-by-step explanation:
Suppose you have a business in which you'd like to make a change to increase your business. After making the change, you can use a significance test it. To conduct a significance test, you make a null hypothesis which states essentially that no effect happened. You also make an alternative hypothesis that states the change had an effect. You then test the two to see which one stands. In a significance test, using the p-value from your sample you compare it to the null and alternative hypotheses. You make a conclusion when:
- If the p-value is less than a given significance level, you reject the null hypothesis and accept the alternative hypothesis since the evidence is in favor of it.
If the p-value is greater than the significance level, then you fail to reject the null hypothesis and cannot conclude. There isn't evidence in favor of the alternative hypothesis.
Answer:
75 and 45
Step-by-step explanation:
woman's age= w
son's age= s
--------------
- w=s+30
- w-15=(s-15)*2 ⇒ w-15=2s-30 ⇒ w=2s- 15
comparing the two above:
- s+30=2s-15 ⇒ s= 45 ⇒ w= 75
