Answer:
11.8%
Step-by-step explanation:
Here in this question, we want to find the probability of no success in the binomial experiment for 6 trials.
Let p = probability of success = 30% = 30/100 = 0.3
q = probability of failure = 1-p = 1-0.3 = 0.7
Now to calculate the probability, we shall need to use the Bernoulli approximation of the binomial theorem.
That would be;
P(X = 0) = 6C0 p^0 q^6
6C0 is pronounced six combination zero
= 6 * 0.3^0 * 0.7^6 = 1 * 1 * 0.117649 = 0.117649
This is approximately 0.1176
If we convert this to percentage we have 11.76%
But we want our answer rounded to the nearest tenth of a percent and that is 11.8%
Hey there!
In order for two figures to be congruent, each named angle must correspond and be congruent to ONE other angle. If you have ZYV and XWV, Z must be congruent to X as they both show up first in the ordering.
This means...
∠Z≅∠X
∠Y≅∠W
∠V≅∠V
Our first answer option has to do with parallelism, which does not influence if certain angles are congruent or not.
For the second answer option, ∠Z is congruent to ∠X, not ∠Y, so it is incorrect.
For the third answer option, it shows that ∠Z would correspond to ∠V, but it does not, so it is also incorrect.
For D, ∠Z IS congruent to ∠X, and ∠W IS congruent to ∠Y
Therefore, our answer is D) ∠Z≅∠X and ∠W ≅ ∠Y.
I hope this helps!
5^3 Sartre 10 + 4^3 sqrt 10
Start at 14 on the number line. Since 25 is negative you’re going to be moving to the left. After 14 hops you’ll reach zero, you’re adding -25 so you’ll have to reach a total of 25 hops to the left. You have moved so far 14 hops so you still have 11 to go. Moving 11 more hops to the left results in -11. Now you have reached the total number of hops 25, the negative sign indicated you were moving towards the left. So 14+(-25)=-11
(9 - 4i)(2 + 5i)
To solve this question you must FOIL (First, Outside, Inside, Last) like so
First:
(9 - 4i)(2 + 5i)
9 * 2
18
Outside:
(9 - 4i)(2 + 5i)
9 * 5i
45i
Inside:
(9 - 4i)(2 + 5i)
-4i * 2
-8i
Last:
(9 - 4i)(2 + 5i)
-4i * 5i
-20i²
Now combine all the products of the FOIL together like so...
18 + 45i - 8i - 20i²
***Note that i² = -1; In this case that means -20i² = 20
18 + 45i - 8i + 20
Combine like terms:
38 - 37i
^^^This is your answer
Hope this helped!
~Just a girl in love with Shawn Mendes
