What is the length of segment BD? Round your answer to the nearest hundredth. triangles ABC and ABD in which the triangles share
segment AB and angle B is a right angle, the measure of angle CAB is 34 degrees, the measure of angle BDA is 31 degrees, and the measure of segment AB is 3 units 1.8 units 3.5 units 4.99 units 5.82 units
1 answer:
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Answer:
Step-by-step explanation:
Hello!
For me, the first step to any statistics exercise is to determine what is the variable of interest and it's distribution.
In this example the variable is:
X: height of a college student. (cm)
There is no information about the variable distribution. To estimate the population mean you need a variable with at least a normal distribution since the mean is a parameter of it.
The option you have is to apply the Central Limit Theorem.
The central limit theorem states that if you have a population with probability function f(X;μ,δ²) from which a random sample of size n is selected. Then the distribution of the sample mean tends to the normal distribution with mean μ and variance δ²/n when the sample size tends to infinity.
As a rule, a sample of size greater than or equal to 30 is considered sufficient to apply the theorem and use the approximation.
The sample size in this exercise is n=50 so we can apply the theorem and approximate the distribution of the sample mean to normal:
X[bar]~~N(μ;σ2/n)
Thanks to this approximation you can use an approximation of the standard normal to calculate the confidence interval:
98% CI
1 - α: 0.98
⇒α: 0.02
α/2: 0.01
X[bar] ±
174.5 ±
[172.22; 176.78]
With a confidence level of 98%, you'd expect that the true average height of college students will be contained in the interval [172.22; 176.78].
I hope it helps!
Answer:
a) 720, b) 475020, c) 69300, d) 0.146, e) 0.001
Step-by-step explanation:
It is given that my friend has 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet.
a)
If he wants to serve 3 bottles of zinfandel and serving order is important, then the total number of ways is
Therefore if he wants to serve 3 bottles of zinfandel and serving order is important, then the total number of ways are 720.
b)
The total number of bottles is
Combination is defined as
where, n is total possible outcomes and r is selected outcomes.
we have to select 6 bottles out of 29. so,
Therefore ff 6 bottles of wine are to be randomly selected from the 29 for serving, then the total number of ways are 475020.
c)
If we want to select 2 bottles of each variety, then total number of ways are
Therefore if 6 bottles are randomly selected with two bottles of each variety, then the total possible ways are 69300.
d)
Probability is defined as
Therefore the probability that two bottles of each variety being chosen is 0.146.
e)
If 6 bottles are randomly selected, then the probability that all of them are the same variety is
Therefore if 6 bottles are randomly selected, then the probability that all of them are the same variety is 0.001.
Answer:
The cost of a box of crackers is $2.25.
Step-by-step explanation:
Let the cost of a containers of yogurt is $x and cost of a box of crackers is $y.
It is given that Mandy can buy 4 containers of yogurt and 3 boxes of crackers for $9.55.
.... (1)
She can buy 2 containers of yogurt and 2 boxes of crackers for $5.90.
.... (2)
On solving (1) and (2), using graphing calculator, we get
Therefore the cost of a box of crackers is $2.25.
