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vfiekz [6]
3 years ago
10

(4x-1)(4x+1)-3=15x^2

Mathematics
1 answer:
algol133 years ago
8 0
(16x^2+4x-4x-1)-3=15x^2
16x^2-1-3=15x^2
16x^2-4=15x^2
X^2=4
X=+or-2
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A player is randomly dealt a sequence of 13 cards from a deck of 52-cards. All sequences of 13 cards are equally likely. In an e
VikaD [51]

Answer:

Answer is 1/13

Step-by-step explanation:

Here we are not intimated about the first (01) twelve (12) cards that are shown, the probability that the thirteenth (13) card dealt is a King, if this is the same as the probability that the (01) first card shown, or in fact any particular card dealt is a King, then it equals:

=4/52

=1/13 ANS

5 0
3 years ago
A warehouse ships cans of soup weighing 19 oz each in a box that weighs 6 oz. Which gives the weight of a shipped box containing
Effectus [21]
The weight of the cans is 19 oz and each box weighs 6 oz. The answer is D, 19n + 6 is the weight of a shipped box..

5 0
3 years ago
(-0.75+6)-1(2.5x+-1.9
fenix001 [56]

Simplifying

(0.75x + 6) + -1(2.5x + -1.9) = 0


Reorder the terms:

(6 + 0.75x) + -1(2.5x + -1.9) = 0


Remove parenthesis around (6 + 0.75x)

6 + 0.75x + -1(2.5x + -1.9) = 0


Reorder the terms:

6 + 0.75x + -1(-1.9 + 2.5x) = 0

6 + 0.75x + (-1.9 * -1 + 2.5x * -1) = 0

6 + 0.75x + (1.9 + -2.5x) = 0


Reorder the terms:

6 + 1.9 + 0.75x + -2.5x = 0


Combine like terms: 6 + 1.9 = 7.9

7.9 + 0.75x + -2.5x = 0


Combine like terms: 0.75x + -2.5x = -1.75x

7.9 + -1.75x = 0


Solving

7.9 + -1.75x = 0


Solving for variable 'x'.


Move all terms containing x to the left, all other terms to the right.


Add '-7.9' to each side of the equation.

7.9 + -7.9 + -1.75x = 0 + -7.9


Combine like terms: 7.9 + -7.9 = 0.0

0.0 + -1.75x = 0 + -7.9

-1.75x = 0 + -7.9


Combine like terms: 0 + -7.9 = -7.9

-1.75x = -7.9


Divide each side by '-1.75'.

x = 4.514285714


Simplifying

x = 4.514285714

5 0
3 years ago
Read 2 more answers
Among 420 randomly selected employees at a company, the mean number of hours of overtime worked per month is 10 hours and the st
kari74 [83]

The margin of error of the random selection is 0.20

The given parameters are:

n = 420 --- the sample size

\sigma = 1.6 --- the standard deviation

\bar x = 10 --- the mean

\alpha = 99\% --- the confidence level.

The margin of error (E) is calculated as follows:

E = z \times \sqrt{\frac{\sigma^2}{n}}

So, we have:

E = z \times \sqrt{\frac{1.6^2}{420}}

E = z \times \sqrt{\frac{2.56}{420}}

The z-value for 99% confidence level is 2.576.

Substitute 2.576 for z

E = 2.576 \times \sqrt{\frac{2.56}{420}}

E = 2.576 \times \sqrt{0.006095}

Take square roots

E = 2.576 \times 0.0781

Multiply

E = 0.2012

Approximate

E = 0.20

Hence, the margin of error is 0.20

Read more about margin of error at:

brainly.com/question/14396648

8 0
2 years ago
Read 2 more answers
What is the equation of the line that passes through the point (8,-8) and has a slope of fraction -1/4
aev [14]

Answer:

y=-1/4x-6

Step-by-step explanation:

The equation of a line is:

y=mx+b (slope-intercept form) where m is the slope and b is the y-intercept. x and y are the x and y coordinates for a point on the line.

Now that we know the equation, we plug in the given numbers into the equation:

y=mx+b

-8=-1/4(8)+b

-8=-2+b

b=-6

Now we know the y-intercept so the equation is:

y=-1/4x-6

7 0
2 years ago
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