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tester [92]
3 years ago
10

A=(2,3) B=(4,5)

Mathematics
1 answer:
andrezito [222]3 years ago
7 0

Answer:

r= a +  \lambda \: b \\ vector \: equation  : \\  \binom{x}{y}  =  \binom{2}{3}  +  \lambda \:  \binom{2}{2}  \\ cartesian \: equation :  \\  \frac{x - 2}{2}  =  \frac{y - 3}{2}  =  \lambda

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Erythromycin is a drug that has been proposed to possibly lower the risk of premature delivery. A related area of interest is it
katrin2010 [14]

Answer:

z=\frac{0.333 -0.3}{\sqrt{\frac{0.3(1-0.3)}{195}}}=1.01  

p_v =P(z>1.01)=0.156  

So the p value obtained was a very low value and using the significance level asumed \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIl to reject the null hypothesis, and we can said that at 5% of significance the proportion of women who complain of nausea between the 24th and 28th week of pregnancy is not significantly higher than 0.3 or 30%

Step-by-step explanation:

Data given and notation

n=195 represent the random sample taken

X=65 represent the women who complain of nausea between the 24th and 28th week of pregnancy

\hat p=\frac{65}{195}=0.333 estimated proportion of women who complain of nausea between the 24th and 28th week of pregnancy

p_o=0.3 is the value that we want to test

\alpha represent the significance level

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that true proportion is higher than 0.3.:  

Null hypothesis:p\leq 0.3  

Alternative hypothesis:p > 0.3  

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

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

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.333 -0.3}{\sqrt{\frac{0.3(1-0.3)}{195}}}=1.01  

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level assumed is \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a right tailed test the p value would be:  

p_v =P(z>1.01)=0.156  

So the p value obtained was a very low value and using the significance level asumed \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIl to reject the null hypothesis, and we can said that at 5% of significance the proportion of women who complain of nausea between the 24th and 28th week of pregnancy is not significantly higher than 0.3 or 30%

6 0
3 years ago
What parent function has the following applications: profit, gravity, and calculating area?
Ronch [10]

Answer:

Suppose that you have a square of side length x, the area of this square will be:

A = x^2.

Now, by dynamics, we know that the position of an object that is falling down from a height H, can be written as:

H(t) = (-g/2)*t^2 + H.

We can see a pattern, x^2 is used in both.

Now, profit can be also modeled with quadratic equations, where our objective is to find the maximum of the quadratic (so we can have the maximum profit)

Then the parent function that is useful for gravity, calculating area and profit is the quadratic function:

f(x) = x^2

3 0
3 years ago
Name two rays that contain the following line segments: • QP• SU (the options for QP are: rays PU; QP; TQ; NP; MS)(the options f
julsineya [31]

From the figure, segment QP is in the ray RP and RP contains N and Q in between

so from the options, the two rays will be : ray QP and ray NP

For SU :

segment SU is in the ray RU and RU contains S and T in between,

so from the options again, the two rays will be : ray RU and ray SU

5 0
1 year ago
What is 5/8 - 1/4 and what is 2/3- 1/2
klemol [59]
1st Question:
Exact Form:
3/8
Decimal Form:
0.375
2nd Question:
Exact Form:
1/6
Decimal Form:
0.16
6 0
3 years ago
Find the surface area of the prism below. Please see the attachment and a. 108cm ^2 is incorrect. Thanks!
creativ13 [48]

Answer: OPTION B

Step-by-step explanation:

To solve this problem you must add the areas of each rectangle that form the prism;

The area of a rectangle can be calculated with the formula:

SA=length*width

There are three pairs of equal rectangles, then you can find the surface area of 3 rectangles and multiply each one by 2, then you obtain that the surface area of the prism is:

SA_{prism}=2(6cm*2cm)+2(3cm*6cm)+2(3cm*2cm)=72cm^{2}

5 0
3 years ago
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