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fiasKO [112]
3 years ago
9

4. Find the distance between the two points. Round to the nearest tenth if necessary.

Mathematics
1 answer:
Archy [21]3 years ago
3 0

Answer:

Distance = 7.8 units

Step-by-step explanation:

In coordinate geometry, the distance between the 2 points is given by

Distance = \sqrt{(x1-x2)^{2} + (y1-y2)^{2} }

where (x1,y1) and (x2,y2) are coordinates of the 2 points.

Above the 2 points given are, (-2,-1) and (3,5).

<em>x1 = -2 , y1 = -1 , x2 = 3, y2 = 5</em>

<em>Distance = \sqrt{((-2)-(3))^{2} + ((-1)-(5))^{2} }</em>

<em>Distance = \sqrt{61}</em>

<em>Distance = 7.8102 units</em>

To the nearest tenth, Distance = 7.8 units

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3 years ago
Si 4x= 5/6y entonces 5y=
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5y=24x

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<em>The question in English is</em>

If 4x= 5/6y then 5y=

we have

4x=\frac{5}{6}y

Solve for 5y

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6*4x=(6)*\frac{5}{6}y

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8 0
3 years ago
In the 1980’s, a clinical trial was conducted to determine if taking an aspirin daily reduced the incidence of heart attacks. Of
zubka84 [21]

There is enough evidence to conclude that taking aspirin cannot  reduces the chance of cancer.

Given sample size of patients take aspirin 11037, sample size of patients who have assigned placebo group be 11034. 104 doctors who take aspirin had a heart attack, 189 doctors had placebo had heart attacks.

First we have to form hypothesis.

H_{0} :p{1} -p_{2} =0

H_{1}:p_{1} -p_{2} < 0

We have to find the respective probabilities.

p_{1}=104/11037

=0.0094

p_{2}=189/11034

=0.0171

Now their respective margin of errors.

s_{1}=\sqrt{ {(0.0094*0.9906)/11037}

=0.0009

s_{2}=\sqrt{0.0171*0.9829}

=0.0011

Hence the distribution of the differences,they are given by:

p=p_{1} -p_{2}

=0.0094-0.0171

=-0.0077

S=\sqrt{s_{1} ^{2}+s_{2} ^{2}  }

=\sqrt{(0.0009)^{2} +(0.0011)^{2} }

=0.00305

z=(p -f)/S (In which f=0 is the value tested at the null hypothesis)

=(-0.0077-0)/0.00305

=-2.52

p value will be 0.005.

p value of 0.05 significance level.

z=1.96.

1.96>0.005

So we will reject the null hypothesis which means it cannot reduce the whole chance of becomming a heart attack.

Hence there is enough evidence to conclude that taking aspirin cannot  reduces the chance of cancer.

Learn more about t test at brainly.com/question/6589776

#SPJ4

6 0
2 years ago
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