Answer:
97.5
Step-by-step explanation:
3.5cm cube surface area:
3.5*3.5*6 (the 6 faces of the cube) =
73.5
2cm cube surface area:
2*2*6 =
24
combined surface area:
73.5+24=
97.5
Answer:
1) a. Move farther into the tails
2) a. Decreases
Step-by-step explanation:
Hello!
1)
Let's say for example that you are making a confidence interval for the mean, using the Z-distribution:
X[bar] ±
* 
Leaving all other terms constant, this are the Z-values for three different confidence levels:
90% 
95% 
99% 
Semiamplitude of the interval is
d=
* 
Then if you increase the confidence level, the value of Z increases and so does the semiamplitude and amplitude of the interval:
↑d= ↑
* 
They have a direct relationship.
So if you change α: 0.05 to α: 0.01, then the confidence level 1-α increases from 0.95 to 0.99, and the boundaries move farther into the tails.
2)
The significance level of a hypothesis test is the probability of committing a Type I error.
If you decrease the level from 5% to 1%, then logically, the probability decreases.
I hope this helps!
If you multiply 7 by .75 you get 5.25
rectangle = area = 5.25
then multiply 2.5 by itself and you get 6.25
square area = 6.25
So the 2 1/2 inch square has more room
Nathan has an infection and he needs to be treated with penicillin
But there’s a 75% probability of him being allergic to penicillin
And to test if the skin reacts to penicillin, the test is 98% accuracy
So even if he has the allergy the test is only 98% accurate of identifying the allergy
Therefore we are asked to find the probability of both these events happening
Event 1 and event 2 both should happen then. When the ‘and’ function is used in probabilities then the probabilities of both events happening should be multiplied
Therefore probability that Nathan has the allergy and test predicts it is
= 75% x 98% = 0.735
The answer is D. 0.735
Answer:
f= 0.7
Step-by-step explanation:
Multiply by reciprocal on both sides: 4/3 * 3/4(5f-3) = 3/8 * 4/3 f
Then, you are left with: 5f-3 = 1/2
Then you subtract by three on both sides to get: 5f=3.5
Finally, divide by 5 on both sides to get: f=.07