Y^3 * y^5 = y^8. you add the exponents
Answer:
$91.75
Step-by-step explanation:
She earns $2.15 an hour and worked 20 hours this week so
20 × 2.15 = 43 and she earned 15% tip off the meals she served
to calculate how much 15% of 325 does we multiply 325 with 15 and divide it with 100
325 × 15 ÷ 100 = 48.75
48.75 + 43 = 91.75
<span>Since it is isosceles, we know that the other base angle is also 40°
</span><span>Three interior angles of every triangle totals 180°
</span><span>x° + 80° = 180°
</span><span>x° = 100°</span>
Answer: D. 0.8202
Step-by-step explanation:
We would assume a binomial distribution for the number of horses presenting with West Nile virus. The formula is expressed as
P(x = r) = nCr × p^r × q^(n - r)
Where
x represent the number of successes.
p represents the probability of success.
q = (1 - p) represents the probability of failure.
n represents the number of trials or sample.
From the information given,
p = 15% = 15/100 = 0.15
q = 1 - p = 1 - 0.15
q = 0.85
n = 10
Therefore,
P(x ≤ 2) = P(x = 0) + P(x = 1) + P(x = 2)
P(x = 0) = 10C0 × 0.15^0 × 0.85^(10 - 0) = 0.1969
P(x = 1) = 10C1 × 0.15^1 × 0.85^(10 - 1) = 0.3474
P(x = 2) = 10C2 × 0.15^2 × 0.85^(10 - 2) = 0.2759
P(x ≤ 2) = 0.1969 + 0.3474 + 0.2759
= 0.8202
Answer:
P = 95%
Step-by-step explanation:
The average is:
The standard deviation is:
.
We want the probability that the red light lasts between 2.5 minutes and 3.5 minutes
This is:
Now we must transform these values to those of a standard normal distribution to facilitate calculation by using the probability tables.
This is:
---------- (By the symmetry of the standard normal distribution)
When you search for the normal standard table, you get the following value:
