Answer:
Empirical probability of deaths cause by stroke=0.004086
Empirical probability of deaths cause by kidney disease =0.001436
Death rate due to stroke is 4 times the death rate due to kidney disease.
Step-by-step explanation:
Consider the table attached in figure
No. of deaths cause by stroke = 128300
No. of deaths caused due t kidney disease = 45100
Total population = 314 x 10⁵
Formula to calculate empirical probability:

Empirical probability of deaths cause by stroke:

Percentage of deaths cause by stroke =0.4%
Empirical probability of deaths cause by kidney disease:

Percentage of deaths cause by kidney disease =0.1%
Ratio between deaths caused to stoke to deaths caused by kidney disease is 4:1 which means death rate due to stroke is 4 times the death rate due to kidney disease.
Answer:
cos(z) = .3846153846 and angle z = 67.38°
Step-by-step explanation:
Side UV is corresponding to side YX. Side VW is corresponding to side YZ. Side UW is corresponding to side XZ.
Starting with the first corresponding pair, we are told that side UV is 36, and that side YX is 3/5 of that. So side YX is

We are next told that side VW is 39, so side YZ is

In order to find the cos of angle z, we need the adjacent side, which is side XZ. Side XZ is 3/5 of side UW. Right now we don't know the length of side UW, so we find it using Pythagorean's Theorem:
and
so
UW = 15
Now we can say that side XZ is

The cos of an angle is the side adjacent to the angle (9) over the hypotenuse of the triangle (23.4) so our ratio is:

which divides to
cos(z) = .3846153846
If you need the value of the angle, use the inverse cosine function on your calculator in degree mode to find that
angle z = 67.38°
It would just be 8 since an integer just means whole number.
Answer:
(-3) - (-6) = -3+6 = 6-3 = 3
Step-by-step explanation:
Answer: 4
There are three different ways to find the remainder. Since I don't know which lesson you are working on, I will show you all three methods.
<u>Long Division:</u>
<u>3x + 7 </u>
2x - 1 ) 6x² + 11x - 3
- <u>(6x² - 3x)</u> ↓
14x - 3
- (<u>14x - 7)</u>
4
<u>Synthetic Division:</u>
2x - 1 = 0 ⇒ x = 
| 6 11 -3
<u>| ↓ 3 7</u>
6 14 4
<u>Remainder Theorem:</u>
2x - 1 = 0 ⇒ x = 
f(x) = 6x² + 11x - 3
f(
) = 6(
)² + 11(
) - 3
= 6(
) +
- 3
=
+
- 
= 
= 4