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Alona [7]
3 years ago
12

Use the quadratic formula to find solutions to the quadratic equation given below. 2x2+x-1=0

Mathematics
1 answer:
stiv31 [10]3 years ago
8 0

<u>Answer</u>:

\boxed{x = \frac{1}{2}} \text{and} \boxed{x = - 1}

<u>Step-by-step explanation:</u>

The quadratic formula is: $\frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$.

So plugging in all the values, we are left with \frac{-1 \pm 3}{4}.

Then, we can solve for both values of x, which are x = 1/2 and x = -1

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A small business employs 6 women and 4 men. The manager randomly selects 3 of them to be on a team. What is the probability that
ElenaW [278]
Total of 10 persons, out of which 6 are women.
So
probability of choosing the first woman = 6/10
probability of choosing the second woman = 5/9
probability of choosing the third woman = 4/8

Since we want all 3 steps to be a success, we need to have success in each of the steps, and the overall probability is given by the multiplication rule:
P(all 3 are women)=6/10*5/9*4/8=120/720=1/6

5 0
3 years ago
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Between what two integers does 160 lie
Annette [7]
An integer is a whole number, not a fraction or decimal. Integers can be positive or negative. 180, 4, 17, -56 are all integers. 4.5, 38 1/2, 88.7 are not integers because they are not whole numbers.

ANSWER: 160 lies between 159 and 161.

Hope this helps! :)
8 0
2 years ago
Every other weekend,Bronwyn Brother Danial mows the lawn. He can mow 15,000ft2 in 3/4 hour. who mows the lawn in less time? plea
ivann1987 [24]

Answer:

you left something out but you need to put it in a better understanding

Step-by-step explanation:

7 0
3 years ago
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The authors of a paper presented a correlation analysis to investigate the relationship between maximal lactate level x and musc
ArbitrLikvidat [17]

Answer:

a) Sample correlation coefficient, r = 0.7411

bi) test statistic, t = 4.102

bii) P-value = 0.000736

Step-by-step explanation:

a) The formula for the sample correlation coefficient is given by the formula:

r = \frac{S_{xy} }{\sqrt{S_{xx} S_{yy} }} }

S_{xx} = 2,648,130.357\\S_{yy} = 36.7376,\\S_{xy} = 7408.225

r = \frac{7408.225}{\sqrt{2648130.357*36.7376} }

r = 0.7511

b)

i) formula for the test statistic is given by the formula:

t = \frac{r\sqrt{n-1} }{\sqrt{1 - r^{2} } }

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t = \frac{0.7511\sqrt{14-1} }{\sqrt{1 - 0.7511^{2} } }

t = 4.102

ii) Degree of freedom, df = n -2

df = 14 -2

df = 12

The P-value is calculate from the degree of freedom and the test statistic using excel

P-value =(=TDIST(t,df,tail))

P-value = (=TDIST(4.1,12,1)

P-value = 0.000736

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2 years ago
HELLO PLEASE HELP!! HAVE A GOOD DAY/NIGHT!!
aliina [53]

So, XZ= 7x+1 and PZ= 4x-1. To figure out XP we have to subtract those two.

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XP=22

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3 years ago
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