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Julli [10]
3 years ago
7

Please help me solve this and please explain too thank you

05x%20-%2012%20%20%3D%200" id="TexFormula1" title="2 {x}^{2} + 5x - 12 = 0" alt="2 {x}^{2} + 5x - 12 = 0" align="absmiddle" class="latex-formula">
Mathematics
2 answers:
Marianna [84]3 years ago
7 0

That is a quadratic equation in which:

a = 2 b = 5 and c=-12

We use the quadratic formula:

x = (-b +- sqr root (b^2 - 4*a*c)) / 2*a

x = (-5 +- sqr root (25 - 4 * 2 * -12)) / 2 *2

x = (-5 +- sqr root (25 +96)) / 4

x = (-5 +- 11) / 4

x1 = 6 / 4 = 1.5

x2 = -16 / 4 = -4


Pepsi [2]3 years ago
6 0

2x^2 + 5x - 12 = 0

2x^2 + 8x - 3x - 12 = 0

2x(x + 4) - 3(x + 4) = 0

(2x - 3)(x + 4) = 0

2x - 3 = 0 or x + 4 = 0, so:-

solution is 3/2, -4.

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Tain has a great literary tradition that spans centuries. One might assume, then, that Britons read more than citizens of other
tresset_1 [31]

Answer:

Null hypothesis:p_{1} \leq p_{2}  

Alternative hypothesis:p_{1} > p_{2}  

z=3.02  

p_v =P(Z>3.02)=0.00127  

The p value is a very low value and using any significance level for example \alpha=0.05, 0,1,0.15 always p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion of Canadians is not significantly higher than the porportions of readers at Britons.  

Step-by-step explanation:

1) Data given and notation  

X_{1}=0.86*1004 represent the number of Canadians randomly sampled by Gallup that read at least one book in the past year

X_{2}=0.81*1009 represent the number of Britons randomly sampled that read at least one book in the past year

n_{1}=1004 sample of Gallup selected

n_{2}=1009 sample of Britons selected

p_{1}=0.86 represent the proportion of Canadians randomly sampled by Gallup that read at least one book in the past year

p_{2}=0.81 represent the proportion of Britons randomly sampled that read at least one book in the past year

z would represent the statistic (variable of interest)  

p_v represent the value for the test (variable of interest)

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the proportion for men with red/green color blindness is a higher than the rate for women  , the system of hypothesis would be:  

Null hypothesis:p_{1} \leq p_{2}  

Alternative hypothesis:p_{1} > p_{2}  

We need to apply a z test to compare proportions, and the statistic is given by:  

z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}   (1)

Where \hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{0.81+0.86}{2}=0.835

3) Calculate the statistic

Replacing in formula (1) the values obtained we got this:  

z=\frac{0.86-0.81}{\sqrt{0.835(1-0.835)(\frac{1}{1004}+\frac{1}{1009})}}=3.02  

4) Statistical decision

For this case we don't have a significance level provided \alpha, but we can calculate the p value for this test.  

Since is a one side test the p value would be:  

p_v =P(Z>3.02)=0.00127  

So the p value is a very low value and using any significance level for example \alpha=0.05, 0,1,0.15 always p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion of Canadians is not significantly higher than the porportions of readers at Britons.  

5 0
4 years ago
100 POINTS!!!! Nicholas has some cans at home to donate to the soup kitchen, but decides to start a can drive at his school to s
gladu [14]

Answer:

he school collected 235 cans a day

Nicholas had 15 cans at home

Step-by-step explanation:

The school collected 235 cans a day

Nicholas had 15 cans at home

Step-by-step explanation:

Looking at the equation:

15 is a constant, meaning that even at x=0 days, nicholas would have had 15 cans, meaning he already had them at home

235 is the number that the variable(the number of days) is multiplied with, this means that 235 is the number of cans that can be collected daily.

Read more on Brainly.com - brainly.com/question/9966828#readmore

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Answer:

drawing one card after the other tossing a coin twice

Step-by-step explanation:

card drawing is dependent on the number of times the coin is tossed

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Given the following sets.
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