1. 9.355 ×
can be used to express the age of the dinosaur fossil.
Step-by-step explanation:
Step 1; To determine which value is the closest to 93,550,000 we must calculate how much the 4 options equal. If there are decimals in the number, they are moved from the decimal part of the number to the integer part with every power of 10 i.e. 2.4 × 10 = 24, 2.44 × 10² = 244.
Step 2; Now we determine how much the 4 options equal.
1. 9.355 ×
= 93,550,000.
2. 9 ×
= 90,000,000.
3. 9.36 ×
= 93,600,000.
4. 9.3 ×
= 93,000,000.
Out of the four options, option 1 equals the value of 93,550,000. So option 1 can be used to express the age with the highest precision.
Answer:
![(D)E[ X ] =np.](https://tex.z-dn.net/?f=%28D%29E%5B%20X%20%5D%20%3Dnp.)
Step-by-step explanation:
Given a binomial experiment with n trials and probability of success p,


Since each term of the summation is multiplied by x, the value of the term corresponding to x = 0 will be 0. Therefore the expected value becomes:

Now,

Substituting,

Factoring out the n and one p from the above expression:

Representing k=x-1 in the above gives us:

This can then be written by the Binomial Formula as:
![E[ X ] = (np) (p +(1 - p))^{n -1 }= np.](https://tex.z-dn.net/?f=E%5B%20X%20%5D%20%3D%20%28np%29%20%28p%20%2B%281%20-%20p%29%29%5E%7Bn%20-1%20%7D%3D%20np.)
The ratio is 2 weeks:6 centimeters, so let’s simplify: To know how much it grew in ONE week, we need to divide by 2, so 2/2=1 and 6/2=3 so the ratio now is 1:3 now, we multiply those by the number of weeks: 6. So 1x6=6 and 3x6=18 the ratio is 6:18. The plant will be 18 centimeters after 6 weeks
Answer:
x=17/3, y=59. (17/3, 59).
Step-by-step explanation:
y=6x+25
y=12x-9
--------------
6x+25=12x-9
12x-6x-9=25
6x-9=25
6x=25+9
6x=34
x=34/6=17/3
y=12(17/3)-9=4*17-9=68-9=59