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3 years ago

The square root of 1/144 simplified

Mathematics

1 answer:

PSYCHO15rus [73]3 years ago

8 0

1/12 is the square root of 1/144

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−2/3a+1/8−1/6a−3/4 PLEASE HELP

prohojiy [21]

Answer:

Evaluate:

- $\frac{5a}{6}$ - $\frac{5}{8}$

Factor:

$\frac{5(-4a-3}{24}$

Step-by-step explanation:

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3 years ago

The number of potato chips in a bag is normally distributed with a mean of 74 and and a standard deviation of 4. Approximately w

aleksklad [387]

Answer:

99.8% is the percent of bags contain between 62 and 86 potato chips.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 74

Standard Deviation, σ = 4

We are given that the distribution of number of potato chips in a bag is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P( bags contain between 62 and 86 potato chips)

$P(62 \leq x \leq 86) = P(\displaystyle\frac{62 - 74}{4} \leq z \leq \displaystyle\frac{86-74}{4}) = P(-3 \leq z \leq 3)\\\\= P(z \leq 3) - P(z < -3)\\= 0.999 - 0.001 = 0.998 = 99.8\%$

$P(62 \leq x \leq 86) = 99.8\%$

7 0

3 years ago

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Jamil pays $20.00 for dinner. He decides to leave a 15% tip on top. How much should he pay in total

Helga [31]

Answer:

$23.00

Step-by-step explanation:

The tip amount is $3.00, but the total is $23.00

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3 years ago

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Jace invested $380 in an account paying an interest rate of 6.2% compounded continuously. Assuming no deposits or withdrawals ar

SOVA2 [1]

Answer: 960

Step-by-step explanation:

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3 years ago

Find the work done by the force Bold Upper F equals xy Bold i plus (y minus x )Bold j over the straight line from (negative 1 co

aalyn [17]

Answer:

<h2>4/3 Joules </h2>

Step-by-step explanation:

Work is said to be done when force applied to an object causes the object to move through a distance.

Work done = Force * perpendicular distance.

$\int\limits^a_b {F} \, ds$

Given Force F = xy i + (y-x) j and a straight line (-1, -2) to (1, 2)

First we need to get the equation of the straight line given.

Given the slope intercept form y = mx+c

m is the slope

c is the intercept

m = y₂-y₁/x₂-x₁

m = 2-(-2)/1-(-1)

m = 4/2

m = 2

To get the slope we will substtutte any f the point and the slope into the formula y = mx+c

Using the point (1,2)

2 = 2+c

c = 0

y = 2x

Substituting y = 2x into the value of the force F = xy i + (y-x) j we will have;

F = x(2x) i + (2x - x) j

Using the coordinate (1, 2) as the value of s

$W = \int\limits^a_b ({2x^2 i + x j}) \, (i+2j)\\W = \int\limits^a_b ({2x^{2}+2x }) \, dx \\W = [\frac{2x^{3} }{3} +x^{2} ]\left \ x_2=1} \atop {x_1=-1}} \right.\\W = (2(1)^3/3 + 1^2) - (2(-1)^3/3 + (-1)^2)\\W =(2/3+1) - (-2/3+1)\\W = 2/3+2/3+1-1\\W = 4/3 Joules$

8 0

3 years ago