The answer is 0.75%*19.5=(0.75÷100)*19.5=(0.75*19.5)÷100=14.625÷100=0.146225. 0.14;
Answer:
The number of marbles of each color that should be present in the bag is;
1 red marble and 2 green marbles
Here, we note that the probability of a battery going dead = 1/3 and the
Therefore if the red marbles represent that a battery dies before 15 hours then the probability of picking the red marble should be 1/3. That is if there is only one red marble in the bag, the probability of picking the red will be 1/3 when there are other 2 green batteries in the bag
That is there should be 1 red marble and 2 green marble in the bag.
Step-by-step explanation:
Answer:
The claim that the current work teams can build room additions quicker than the time allotted for by the contract has strong statistical evidence.
Step-by-step explanation:
We have to test the hypothesis to prove the claim that the work team can build room additions quicker than the time allotted for by the contract.
The null hypothesis is that the real time used is equal to the contract time. The alternative hypothesis is that the real time is less thant the allotted for by the contract.

The significance level, as a storng evidence is needed, is α=0.01.
The estimated standard deviation is:

As the standard deviation is estimated, we use the t-statistic with (n-1)=15 degrees of freedom.
For a significance level of 0.01, right-tailed test, the critical value of t is t=2.603.
Then, we calculate the t-value for this sample:

As the t-statistic lies in the rejection region, the null hypothesis is rejected. The claim that the current work teams can build room additions quicker than the time allotted for by the contract has strong statistical evidence.
Answer:
A
Step-by-step explanation:
From the diagram:
- P(-4,6)→P'(4,6);
- Q(-7,4)→Q'(7,4);
- R(-6,1)→R'(6,1);
- S(-2,1)→S'(2,1);
- T(-1,4)→T'(1,4).
The general rule of this reflection is
(x,y)→(-x,y)
and this is reflection across the y-axis. The y-axis has the equation x=0.
Where are the choices ? ? There are 30 marbles in the bag, and 3 of them are black. So the probability of getting a black with a random draw is 3/30 = 10% .