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Usimov [2.4K]
3 years ago
11

Solve the quadratic linear below :6x²-x-2=0​

Mathematics
2 answers:
Advocard [28]3 years ago
6 0

Answer:

x = 3/2; x = -1/2

Step-by-step explanation:

6x² - x - 2 = 0

⇔ 6x² - 4x + 3x - 2 = 0

⇔ (6x² - 4x) + (3x - 2) = 0

⇔ 2x(3x - 2) + (3x - 2) = 0

⇔ (3x - 2)(2x + 1) = 0

⇔\left \{ {{3x - 2=0} \atop {2x + 1=0}} \right.

⇔\left \{ {{3x=2} \atop {2x=-1}} \right.

⇔\left \{ {{x=2/3} \atop {x=-1/2}} \right.

Luda [366]3 years ago
5 0

Answer:

x 1=  \frac{ + 1 +  \sqrt{  { (- 1)}^{2}  - 4 \times 6 \times ( - 2)}  }{ 12} =  \frac{8}{12}  \\ x =  \frac{ + 1  -   \sqrt{  { (- 1)}^{2}  - 4 \times 6 \times ( - 2)}  }{ 12} =  \frac{ - 6}{12}

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A study was conducted to compare the proportion of drivers in Boston and New York who wore seat belts while driving. Data were c
In-s [12.5K]

(A.)test statistic for this test using Ha: p8くPN is Z = -2.164 (B.) p-value (3 decimal places) is 0.015. (C.) Based on this p-value, which of the following would you expect for a 95% is negative. (D.) the correct conclusion is The proportion of Boston drivers wearing seat was significantly lower than the proportion of new York drivers wearing seat belts.

A.)

According to given data find the test statistic for this test using Ha:

p1 = 0.581

p2 = 0.832

standard error = SE = 0.116

<h3>Test statistics :-</h3>

Z = \frac{p1 - p2}{SE}

Z = \frac{0.581 - 0.832}{0.116} = -2.164

Z = -2.164

B.)

According to given Determine the p-value (3 decimal places).

<h3>p - value</h3>

it is left tailed test.

p - value for left tailed test is,

p - value = P(Z < test statistics )

p - value = P(Z < -2.164)

P - value = 0.015

C.)

Based on this p-value, which of the following would you expect for a 95%

confidence level = 95% = 0.95

significance level = α = 0.05

P -value is less than 0.05

so, reject null hypothesis at α = 0.05

That is P_{B} < P_{NY}

so, based on P - value , All values in the 95% confidence interval

PB - PNY  is negative.

D.)

According to given data What is the correct conclusion?

Reject null hypothesis at α = 0.05

so, P_{B} < P_{NY}

Hence, The proportion of Boston drivers wearing seat was significantly lower than the proportion of new York drivers wearing seat belts.

know more about test statics visit this link

brainly.com/question/23332597

#SPJ4

3 0
2 years ago
Can someone help me with #3? Please and thank you.
irga5000 [103]
The answer is 42 cause you do ( 18*28=12x) wich is 504=12x which equals 42
8 0
4 years ago
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Find the value of k for which the matrix A = [2 -5 9 -1 3 -5 7 1 k] has rank 2. k = _________.
chubhunter [2.5K]

Answer:

k = 13

Step-by-step explanation:

Matrix is;

A =

[2 -5 9]

[-1 3 -5]

[ 7 1 k ]

Number of unknowns is less than the rank of 2. Thus, the determinant has to be zero for us to find k.

Thus, we have;

2((3 × k) - (-5 × 1)) -(-5)((-1 × k) - (-5 × 7)) + 9((-1 × 1) - (7 × 3)) = 0

Simplifying further gives;

2(3k +5) + 5(-k + 35) + 9(-22) = 0

6k + 10 - 5k + 175 - 198 = 0

k - 198 + 185 = 0

k - 13 = 0

k = 13

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3 years ago
The average pay of employees is $399.44 per week at a local True Value Hardware store. Jay Miller earns $411.11 per week. How mu
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3 years ago
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Combining like terms
Sergio039 [100]
4(8a-13)
32a-52 
your answer 32a-52
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