Answer:60
Step-by-step explanation:2 x 30=60
Answer:
1. 2
2. -9
3. 2+-9
4. -7
5. -15 + 8 = -7
Step-by-step explanation:
The surface of the water is 0. If Paula is above the surface of the water than she is positive. If she is below or heading down she is negative. She starts 2 feet above which is 2. She descends a total of -9 from 2 to -7. She ends up -7 or 7 feet below surface. So she travels from 2+-9 = -7.
Yolanda owes her friend $15 or -15. She earns $8 a week or +8. If she earns 8 dollars this week and pays Yolanda back then -15+8=-7. She now owes $7.
Answer:
And rounded up we have that n=20545
Step-by-step explanation:
Assuming this question: Use the data to find minium sample size required to estimate population proportion. Margin of error: 0.009, confidence level: 99%, p and q are unknown.
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Solution to the problem
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by
and
. And the critical value would be given by:
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
Assuming an estimation of p as
. And replacing into equation (b) the values from part a we got:
And rounded up we have that n=20545
Answer and Step-by-step explanation:
C1) (x-1)²+(y+2)²=1 C1 (1,-2) R1 = √1 = 1
C2) (x+5)²+(y-4)²=4 C2 (-5,4) R2 = √4 = 2
DISTANCE FORMULA: d² = (y₂-y₁)²+(x₁-x₂)²
calculating the distances between the 2 center:
d² = (4-(-2))²+(-5-1)² = (6)²+(-6)² = 36 + 36 = 72 ⇒ d = √72
√72 ≈ 8.49
R1 = 1 and R2 = 2
If the circles were secants, d would be < than R1 + R2.
If the circles were tangent, d would be = to R1 + R2
As d > than R1 + R2, we know that the circles do not intercept.
Area = 625 cm^2
Area = s^2
Diagonal = s*sqrt(2)
625 = s^2
s = sqrt(625)
s = 25 cm.
Diagonal = s*sqrt(2)
= 25sqrt(2)
=35.36 cm.
=35.4 cm.