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DENIUS [597]
4 years ago
11

Fill in the frequency table

Mathematics
1 answer:
Art [367]4 years ago
7 0
Day: Monday, Tuesday, Wednesday, Thursday, Friday
frequency: 3, 1, 1, 1, 5
Frequency is the repeated number of times so you just need to count how many times a day repeats.
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What is the shape of the graph of the function?<br> h(x) =2.05*3^x
myrzilka [38]

Answer: A

Step-by-step explanation:

6 0
3 years ago
A random sample of 100 U.S. adults were selected from a population. In the population, the probability of having hypertension is
svp [43]

Answer:

For this case we want to calculate this probability:

P(X\leq 30)

And for this case if we use the normal approximation we can use the z score formula given by:

z = \frac{X -\mu}{\sigma}

And using this formula with the correction factor of continuity we got:

P(X\leq 30) =P(X

And using the normal standard table or excel we got:

P(Z \leq 1.522)= 0.936

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest "number of people with hypertension", on this case we now that:

X \sim Binom(n=100, p=0.24)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

We need to check the conditions in order to use the normal approximation.

np=100*0.24=24 \geq 10

n(1-p)=100*(1-0.24)=76 \geq 10

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

E(X)=np=100*0.24=24

\sigma=\sqrt{np(1-p)}=\sqrt{100*0.24(1-0.24)}=4.27

Solution to the problem

For this case we want to calculate this probability:

P(X\leq 30)

And for this case if we use the normal approximation we can use the z score formula given by:

z = \frac{X -\mu}{\sigma}

And using this formula with the correction factor of continuity we got:

P(X\leq 30) =P(X

And using the normal standard table or excel we got:

P(Z \leq 1.522)= 0.936

7 0
3 years ago
F(x)=x3 −4x even odd or neither
Dennis_Churaev [7]

The answer is neither.

Let's take an odd number and substitute.

  • f(3) = 3³ - 4(3)
  • f(3) = 27 - 12
  • f(3) = 15 (odd)

Now, let's take an even number.

  • f(4) = 4³ - 4(4)
  • f(4) = 64 - 16
  • f(4) = 48 (even)

Since both even and odd numbers are possible, it is neither.

4 0
2 years ago
Read 2 more answers
Margo saved $250 on a computer that was marked as 20% off. What did she pay for the computer?
Inessa [10]

I think you need to subtract 250-20=230. So Margo payed $230 for the computer. Hope this helps.

6 0
3 years ago
Read 2 more answers
For the line segment whose endpoints are X(1, 2) and Y(6, 7), find the x value for the
finlep [7]

Answer:

3) 2.7

Step-by-step explanation:

The distance between two points (x_1,y_1) and (x_2,y_2) can be determined by:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Since the points are X(1, 2) and Y(6, 7). The distance between the two points is

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(6-1)^2+(7-2)^2}=\sqrt{50}

the x value for the  point located 1/3 the distance from X to Y,

x=\frac{x_2-x_1}{3}=\frac{6-1}{3}=1.7

The x value = x_1+1.7 = 1+1.7 = 2.7

6 0
3 years ago
Read 2 more answers
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