Answer:
<u>The perimeter of the pentagon ≅ 19 units (approximately)</u>
Step-by-step explanation:
Clockwise, starting from the base of the pentagon, we have:
- Base of the pentagon or bottom side ≅ 4 units
- 2nd side ≅ 3.75 units
- 3rd side ≅ 3.75 units
- 4th side ≅ 3.75 units
- 5th side ≅ 3.75 units
In consequence,
Perimeter of the pentagon ≅ 4 + 3.75 + 3.75 + 3.75 + 3.75
<u>Perimeter of the pentagon ≅ 19 units</u>
The probability of choosing Joey first is 1/12 .
If that happens, the probability of choosing Chloe next is 1/11 .
Then, the probability of choosing Zoe after that is 1/10 .
The probability of all these things happening is
(1/12) x (1/11) x (1/10)
= 1/1320 = 0.00076 = 0.076 percent
Answer:
The second ramp needs to have 25°.
Step-by-step explanation:
Required ramp angle for driving the car from the ground = 35°.
First ramp angle = 15°
Therefore, second ramp angle equals required ramp angle minus first ramp angle, which is = 35° - 15° = 20°
The 20° ramp angle will make the total ramp angle to be equal to 35°.
That is 15° + 20° = 35°
Answer:
Option C.
Step-by-step explanation:
Given information:
Sample size = 150
Number of Opinions = 3 (Yes, No, No Opinion)
Yes = 40
No = 60
No opinion = 50
We need to find the expected frequency for each group.
Expected frequency for each group is the quotient of sample size and number of opinions.
Therefore, the correct option is C.
Answer:
Research Hypothesis solves the problem by .....
Step-by-step explanation:
Research Hypothesis is a set of assumed statements, consisting certain variables & their relationships
The variables whose relationship are to be checked by hypothesis testing, are independent & dependent variables. The causal variable(s) are independent variables & the effected variable is the dependent variable.
- Null Hypothesis : It is the hypothesis assuming no statistically significant relationship between independent & dependent variables
- Alternate Hypothesis : It is the hypothesis assuming statistically significant relationship between independent & dependent variable
Example : To check the research question, of relationship between research variables, by formulating hypothesis assumed statement
Y = b0 + b1X ; where
Y = dependent variable, X = independent variable, b0 = autonomous, b1 = X intercept on Y
- H0 : b1 = 0 {No significant relationship between X & Y}
- H1 : b1 ≠ 0 {Significant relationship between X & Y}
This way : Research hypothesis solves the problem by - formulating hypothesis assumptions, which recognise the variables & their relations. At last, acceptance of null or alternate hypothesis gives the final research conclusion & interpretation
