Answer:
Step-by-step explanation:
given that certain tubes manufactured by a company have a mean lifetime of 800 hours and a standard deviation of 60 hours.
Sample size n =16
Std error of sample mean = 
x bar follows N(800, 15)
the probability that a random sample of 16 tubes taken from the group will have a mean lifetime
(a) between 790 and 810 hours,
=
(b) less than 785 hours
, (c) more than 820 hours,
(d) between 770 and 830 hours
=
Answer:
180
Step-by-step explanation:
all I did was multiply
i don’t know hope this is correct if not let me know so I can fix my mistake
Answer:
2 hours = 4 * 30 minutes
30 * 3 = 90
90 * 3 = 270
270 * 3 = 810
810 * 3 = 2430
So after 2 hours you will have 2430 bacteria cells.
Step-by-step explanation:
Answer:
See below ~
Step-by-step explanation:
<u>Question 1</u>
<u>The missing angles</u>
- Both the unknown angles have the same value as the other two angles in the triangles are the same
- ∠(missing) = 180 - (72 x 2)
- ∠(missing) = 180 - 144
- ∠(missing) = 36°
⇒ The sides are <u>equal</u>
⇒ Angles are <u>not 90°</u>
⇒ It is a <u>rhombus</u>
<u></u>
<u>Question 2</u>
- The <u>diagonals</u> of the shape <u>bisect other</u> (Statement 1)
- NY = NW (given)
- XN = NZ (given)
- ∠XNY = ∠WXZ (vertically opposite angles)
- ΔXNY ≅ ΔWXZ (SAS)
- They form <u>two congruent triangles</u> (Statement 2)
- From these two statements, it is evident the figure is a <u>parallelogram</u>
Answer:
P(A) = 1/2
Step-by-step explanation:
The question seems incomplete, I assume that we want to find the probability of event A.
Here we have a fair six-sided dice, so each one of the six numbers has exactly the same probability of being rolled.
Such that the possible outcomes of rolling the dice is:
{1, 2, 3, 4, 5, 6}
Now we define event A as rolling an even number.
The possible outcomes such that the event A is true are the even numbers:
{2, 4, 6}
So we have 3 outcomes out of 6.
Then the probability of rolling an even numbers, is just the quotient between the number of outcomes of even numbers (3) and the total number of outcomes (6).
Then:
P(A) = 3/6 = 1/2 = 0.5
