Answer:
11).
= 90°
12).
= 212°
Step-by-step explanation:
A circle F with AB and CD are the diameters has been given in the figure attached.
11). Since,
= 180°
and ![m(\widehat{AB})=m(\widehat{AD})+m(\widehat{DE})+m(\widehat{BE})](https://tex.z-dn.net/?f=m%28%5Cwidehat%7BAB%7D%29%3Dm%28%5Cwidehat%7BAD%7D%29%2Bm%28%5Cwidehat%7BDE%7D%29%2Bm%28%5Cwidehat%7BBE%7D%29)
Therefore,
= 180°
32° +
+ 58° = 180°
= 180° - 90°
= 90°
12. Since,
= 32°
= ![m(\widehat{AB})+m(\widehat{BC})](https://tex.z-dn.net/?f=m%28%5Cwidehat%7BAB%7D%29%2Bm%28%5Cwidehat%7BBC%7D%29)
= 180° + 32°
= 212°
Answer:
D) x > -4
Step-by-step explanation:
6x - 5 > -29
6x > -29 + 5
6x > -24
x > -4
Answer:
The answer is C. 546.
If a population decreases by 11%, that means that 89% (100% - 11% = 89%) of cheetahs remains each number. 89% can be expressed as 0.89, so to calculate the change of the population, we must each year multiply the number of cheetahs by 0.89.
After 1 year: 1750 * 0.89 ≈ 1558
After 2 years: 1558 * 0.89 ≈ 1387
After 3 years: 1387 * 0.89 ≈ 1234
After 4 years: 1234 * 0.89 ≈ 1098
After 5 years: 1098 * 0.89 ≈ 977
After 6 years: 977 * 0.89 ≈ 870
After 7 years: 870 * 0.89 ≈ 774
After 8 years: 774 * 0.89 ≈ 689
After 9 years: 689 * 0.89 ≈ 613
After 10 years: 613 * 0.89 ≈ 546
Step-by-step explanation:
Based on the amount predicted to be spent, the hypotheses will be:
- Null Hypothesis = $1,007.24
- Alternate Hypothesis ≠ $1,007.24
The Null Hypothesis is the one that confirms the prediction so in this case it will be that the average shopper will indeed spend $1,007.24.
The Alternate Hypothesis theorizes that the event being predicted will not happen so in this case that would mean that the shopper would not spend $1,007.24.
In conclusion, the null hypothesis confirms and the alternate denies.
<em>Find out more on the null hypothesis at brainly.com/question/15980493.</em>