Answer:
Step-by-step explanation:
3 oua
Daca as avea 4 oua - e presupunere. Nu am.
Un hot imi da 3
Cocosul nu face oua
0+3+0=3
Answer: the probability that there are three or fewer calls in one hour is 0.011
Step-by-step explanation:
The formula for poisson distribution is expressed as
P(x = r) = (e^- µ × µ^r)/r!
Where
µ represents the mean of the theoretical distribution.
r represents the number of successes of the event.
From the information given,
µ = 10
For the probability that there are three or fewer calls in one hour, it is expressed as
P(x ≤ 3) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3)
Therefore,
P(x = 0) = (e^- 10 × 10^0)/0! = 0.000045
P(x = 1) = (e^- 10 × 10^1)/1! = 0.00045
P(x = 2) = (e^- 10 × 10^2)/2! = 0.0023
P(x = 3) = (e^- 10 × 10^3)/3! = 0.0077
Therefore,
P(x ≤ 3) = 0.000045 + 0.00045 + 0.0023 + 0.0077 = 0.011
Look for the word "Is" first - this is where your "=" goes. (In your problem, it actually says "is equal to".)
So now you know you have = 9.
The next key word on the left is "quotient" - that means divide. It says "quotient of a number and 5" - so we'll divide an unknown number (y in your problem) by 5.
Three less than means subtract 3 from that quotient.
So you need to start with the quotient: y/5 - 3 = 9.
hope it helps!
terms?
Answer:
s = -43.245
Step-by-step explanation:
First, you move the constant to the right:
-s=44-0.755
Calculate:
-s=43.245
Then, you change the signs:
s=-43.245
To explain your reasoning, you can say that:
To add any complex numbers together, you add the constants to each other and the numbers together.
Answer:
Step-by-step explanation:
Corresponding heights of presidents and height of their main opponents form matched pairs.
The data for the test are the differences between the heights.
μd = the president's height minus their main opponent's height.
President's height. main opp diff
191. 166. 25
180. 179. 1
180. 168. 12
182. 183. - 1
197. 194. 3
180. 186. - 6
Sample mean, xd
= (25 + 1 + 12 - 1 + 3 + 6)/6 = 5.67
xd = 5.67
Standard deviation = √(summation(x - mean)²/n
n = 6
Summation(x - mean)² = (25 - 5.67)^2 + (1 - 5.67)^2 + (12 - 5.67)^2+ (- 1 - 5.67)^2 + (3 - 5.67)^2 + (- 6 - 5.67)^2 = 623.3334
Standard deviation = √(623.3334/6 sd = 10.19
For the null hypothesis
H0: μd ≥ 0
For the alternative hypothesis
H1: μd < 0
The distribution is a students t. Therefore, degree of freedom, df = n - 1 = 6 - 1 = 5
The formula for determining the test statistic is
t = (xd - μd)/(sd/√n)
t = (5.67 - 0)/(10.19/√6)
t = 1.36
We would determine the probability value by using the t test calculator.
p = 0.12
Since alpha, 0.05 < than the p value, 0.12, then we would fail to reject the null hypothesis.
Therefore, at 5% significance level, we can conclude that for the population of heights for presidents and their main opponents, the differences have a mean greater than 0 cm.
The null hypothesis in this case would be that there is no average height advantage for presidents over their main opponents (µd ≤ 0), while the alternative hypothesis is that presidents are taller on average (µd > 0). A paired t-test with a significance level of 0.05 is usually employed in testing these hypotheses using the p-value and t-score.
In hypothesis testing, the goal is to determine the validity of a claim made. In this case, the claim is that the mean difference in height, where the difference is calculated as the president's height minus their main opponent's height, is greater than 0 cm. This represents the theory that taller presidential candidates have an advantage.
For setting up a null hypothesis and an alternative hypothesis, we consider the following parameters:
To test these hypotheses, we would typically use a one-sample t-test for paired differences with a significance level (alpha) of 0.05. A p-value less than this would allow us to reject the null hypothesis in favor of the alternative hypothesis that presidents are on average taller than their main opponents. Use of p-value and t-score is essential in conducting such a test.
#SPJ3
Answer:
Step-by-step explanation:
Total amount of apple John has = 5 apples
Amount given out to his friend = 2 apples
Number of apples Joh have left = Total amount of apple - Amount given out
Number of apples Joh have left = 5 apples - 2 apples
Number of apples Joh have left = 3 apples
Hence John has 3 apples left
Answer:
y - 5 = 3(x - 4)
General Formulas and Concepts:
Algebra I
Point-Slope Form: y - y₁ = m(x - x₁)
Step-by-step explanation:
Step 1: Define
Slope m = 3
Point (4, 5)
Step 2: Write equation
Point-Slope Form: y - 5 = 3(x - 4)