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3 years ago

A number line showing 2/3 divided by 1/12

Mathematics

1 answer:

vlada-n [284]3 years ago

5 0

Answer:

how do you thik,,, n vm

Step-by-step explanation:

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A quality control engineer at a potato chip company tests the bag filling machine by weighing bags of potato chips. Not every ba

Ahat [919]

Answer:

$z=\frac{0.21 -0.15}{\sqrt{\frac{0.15(1-0.15)}{100}}}=1.68$

Step-by-step explanation:

Information provided

n=100 represent the random sample taken

X=21 represent the number of bags overfilled

$\hat p=\frac{21}{100}=0.21$ estimated proportion of overfilled bags

$p_o=0.15$ is the value that we want to test

z would represent the statistic

Hypothesis

We need to conduct a hypothesis in order to test if the true proportion of overfilled bags is higher than 0.15.:

Null hypothesis: $p =0.7$

Alternative hypothesis: $p > 0.15$

The statistic for this case is:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

And replacing the info given we got:

$z=\frac{0.21 -0.15}{\sqrt{\frac{0.15(1-0.15)}{100}}}=1.68$

5 0

3 years ago

For X a binomial random variable with n=5 and p=1/4, answer the following

mash [69]

Recall that for $X\sim\mathrm{Bin}(n,p)$ , i.e. a random variable $X$ following a binomial distribution over $n$ trials and with probability parameter $p$ ,

$\mathbb P(X=x)=f_X(x)=\begin{cases}\dbinom nx p^x(1-p)^{n-x}&\text{for }x\in\{0,1,\ldots,n\}\\\\0&\text{otherwise}\end{cases}$

So you have

$\mathbb P(X=2)=\dbinom52\left(\dfrac14\right)^2\left(1-\dfrac34\right)^{5-2}=\dfrac{135}{512}\approx0.26$

$\mathbb P(2\le X\le4)=\displaystyle\sum_{x=2}^4\mathbb P(X=x)$
$=\dbinom52\left(\dfrac14\right)^2\left(1-\dfrac14\right)^{5-2}+\dbinom52\left(\dfrac14\right)^3\left(1-\dfrac14\right)^{5-3}+\dbinom52\left(\dfrac14\right)^4\left(1-\dfrac14\right)^{5-4}$
$=\dfrac{375}{1024}\approx0.37$

The expected value of $X\sim\mathrm{Bin}(n,p)$ is simply $np$ , while the standard deviation is $\sqrt{np(1-p)}$ . In this case, they are $\dfrac54=1.25$ and $\sqrt{\dfrac{15}{16}}\approx0.97$ , respectively.

7 0

3 years ago

If a right circular cone intersects a plane that runs parallel to the edge of the cone, the resulting curve will be a(n)?

faust18 [17]

Question: <span>If a right circular cone intersects a plane that runs parallel to the edge of the cone, the resulting curve will be a(n)?

Answer: Parabola

HOPE THIS HELPS! ^_^</span>

6 0

3 years ago

Read 2 more answers

What is the value of x and y?

crimeas [40]

Answer:

C. x = 8 , y = 40

Step-by-step explanation:

since this is an Isosceles triangle 5x = 40° and x = 8

The sum of interior angles in a triangle is equal to 180°

40° + 5x + 2y + 20 = 180° add like terms

5x + 2y = 120

40 + 2y = 120 ➡ 2y = 80 and y = 40

8 0

3 years ago

Read 2 more answers

Graph the line with the equation

pochemuha

The graph of the linear equation can be seen in the image below.

<h3 /><h3>How to graph the linear equation?</h3>

Here we have the linear equation:

y = (2/5)*x - 6

To graph it, we just need to find two points on the line, and then connect them with a line.

To find the points we just evaluate in two values of x.

if x = 0.

y = (2/5)*0 - 6 = -6

Then we have the point (0, -6)

If x = 5.

y = (2/5)*5 - 6 = 2 - 6 = -4

Then we have the point (5, - 4)

Now we can graph these two points and connect them with a line. The graph of the line can be seen below.

If you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

4 0

2 years ago