Answer:
-7/6
Step-by-step explanation:
If a = 1/2 and b = -3/7, then your given:
1/2 divided by -3/7=
-7/2*3=
-7/6
Sorry if its a bit unclears
Answer:
0.16
Step-by-step explanation:
This probability is the area under the standard normal curve to the right of 82. Note that 82 is ONE standard deviation above the mean: 75 + 7 = 82.
According to the Empirical Rule, 68% of data lies within one standard deviation of the mean. In other words, 34% lies between the mean and one standard deviation above the mean. The remaining area under the standard normal curve is thus (100% - 68%), or 32%. Half of that is 16%.
The probability that the temperature is above 82, or above 1 standard deviation above the mean, is 16%, which we can also express as 0.16.
Alternatively, use a calculator with built-in statistical functions. In this case the desired result is found by executing the following command:
normcdf(82, 10000, 75, 7). The desired result is 0.1587, or approximately 0.16.
That curve represents a cardioid.
Answer:
(0.392 ; 0.508)
Step-by-step explanation:
Given that :
p = 45% = 0.45
α = 1 - 90% = 0.1
Zα/2 = Z0.01/2 = Z0.05 = 1.645 (from Z standard table).
Using the relation :
p ± Z0.05*sqrt((p(1-p))/n)
p ± 1.645 * sqrt(0.45(0.55)/200)
p ± 1.645 * sqrt(0.0012375)
p ± 1.645 *0.0351781
0.45 - (1.645 * 0.0351781) = 0.3921320255
0.45 + (1.645 * 0.0351781) = 0.5078679745
(0.392 ; 0.508)