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1 year ago

Why is math important in our everyday lives?

1 answer:

4 0

Math is important to calculate things in our daily lives such as times at the grocery store, work, or a project around the house

You might be interested in

For a binomial process, the probability of success is 40 percent and the number of trials is 5. Find the standard deviation.

Yakvenalex [24]

Answer:

$Sd(X) =\sqrt{1.2}=1.095$

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".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=5, p=0.4)$

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:

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

The mean for the binomial distribution is given by:

$E(X) =np=5*0.4=2$

And the variance is given by:

$Var(X) = np(1-p) =5*0.4*(1-0.4)=1.2$

And the deviation is just the square root of the variance so we got:

$Sd(X) =\sqrt{1.2}=1.095$

7 0

2 years ago

Draw the graphs of the equations x – y = 1 and 2x + y = 8. Shade the area bounded by these two lines and y-axis. Also, determine

NikAS [45]

Answer:

Using Geometry to answer the question would be the simplest:

Step-by-step explanation:

Remembering the formula for the area of a triangle which is $A=\frac12bh$ . One can then tackle the question by doing the following:

Step 1 Find the y-intercepts

The y-intercepts are found by substituting in $x=0$ .

Which gives you this when you plug it into both equations:

$-y=1\\y=-1\\y=8$

So the y-intercepts for the graphs are $(0,-1)\\$ , and $(0,8)$ respectively.

Now one has to use elimination to solve the problems by adding up the equations we get:

$x-y=1\\2x+y=8\\3x=9\\x=3$

Now to solve for the y component substitute:

$2(3)+y=8\\y=2$

Therefore, the graphs intersect at the following:

$(3,2)$

Now we have our triangle which is accompanied by the graph.

now to solve it we must figure out how long the base is:

$b=8-(-1)\\b=9$

The height must also be accounted for which is the following:

$h=3$

Now the formula can be used:

$A=\frac12bh=\frac12(9)(3)=\frac{27}2\ \text{units}^2$

7 0

2 years ago

Read 2 more answers

Which digit is in the tenths place 314.902

ololo11 [35]

Nine is in the tenths place

4 0

3 years ago

Read 2 more answers

How many interior angles does a nonagon have?

Whitepunk [10]

It has 9 interior angles kn total

4 0

2 years ago

A student believes that less than 50% of students at his college receive financial aid. A random sample of 120 students was take

marusya05 [52]

Answer:

p= 0.9995 and we can conclude that students receiving aid is more than 50% according to the sample results in 2% significance level.

Step-by-step explanation:

$H_{0}$ : less than or equal 50% of students at his college receive financial aid

$H_{a}$ : more than 50% of students receive financial aid.

According to the nul hypothesis we assume a normal distribution with proportion 50%.

z-score of sample proportion can be calculated using the formula:

z= $\frac{X-M}{\frac{s}{\sqrt{N} } }$ where

X is the sample proportion (0.65)
M is the null hypothesis proportion (0.5)
s is the standard deviation of the sample ( $\sqrt{0.5*(1-0.5)}$ )
N is the sample size (120)

then z= $\frac{0.65-0.50}{\frac{\sqrt{0.25}}{\sqrt{120} } }$ ≈ 3,29

thus p= 0.9995 and since p<0.02 (2%), we reject the null hypothesis.

4 0

2 years ago