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2 years ago

Work out b(4½-3⅔)+1⅔

Mathematics

1 answer:

Zolol [24]2 years ago

6 0

Answer:

2 $\frac{1}{2}$

Step-by-step explanation:

Change the mixed numbers to improper fractions

( $\frac{9}{2}$ - $\frac{11}{3}$ ) + $\frac{5}{3}$ ← the LCM of 2 and 3 is 6

= $\frac{9(3)}{2(3)}$ - $\frac{11(2)}{3(2)}$ + $\frac{5(2)}{3(2)}$

= $\frac{27}{6}$ - $\frac{22}{6}$ + $\frac{10}{6}$

= $\frac{5}{6}$ + $\frac{10}{6}$

= $\frac{15}{6}$

= $\frac{5}{2}$

= 2 $\frac{1}{2}$

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A game of chance involves rolling a standard, six-sided die. The amount of money the player wins depends on the result of the di

Sloan [31]

Answer:

If you play this game once (and it costs you nothing to play), the expected amount of money you will win is:

$8.

Step-by-step explanation:

a) Data and Calculations:

The probability for the result to be 1 or 2 = 33.33% (100/6 * 2)

The probability for the result to be 3, 4, or 5 = 50% (100/6 * 3)

The probability for the result to be 6 = 16.67% (100/6 * 1)

Data Table:

Event Probability Value Won

The result is 1 or 2 33.33% $0

The result is 3, 4 or 5 50.00% $4.00

The result is 6 16.67% $36.00

Expected Value:

Event Probability Value Expected Value

The result is 1 or 2 33.33% $0 $0 ($0 * 33.33%)

The result is 3, 4 or 5 50.00% $4.00 $2.00 ($4 * 50%)

The result is 6 16.67% $36.00 $6.00 ($36 * 16.67%)

Total expected amount of money = $8.00

8 0

3 years ago

7 1/8 + 6 1/8 equals what? hurry

Citrus2011 [14]

Answer:

13 2/8

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of

Tomtit [17]

Apparently my answer was unclear the first time?

The flux of F across S is given by the surface integral,

$\displaystyle\iint_S\mathbf F\cdot\mathrm d\mathbf S$

Parameterize S by the vector-valued function r(u, v) defined by

$\mathbf r(u,v)=7\cos u\sin v\,\mathbf i+7\sin u\sin v\,\mathbf j+7\cos v\,\mathbf k$

with 0 ≤ u ≤ π/2 and 0 ≤ v ≤ π/2. Then the surface element is

dS = n • dS

where n is the normal vector to the surface. Take it to be

$\mathbf n=\dfrac{\frac{\partial\mathbf r}{\partial v}\times\frac{\partial\mathbf r}{\partial u}}{\left\|\frac{\partial\mathbf r}{\partial v}\times\frac{\partial\mathbf r}{\partial u}\right\|}$

The surface element reduces to

$\mathrm d\mathbf S=\mathbf n\,\mathrm dS=\mathbf n\left\|\dfrac{\partial\mathbf r}{\partial u}\times\dfrac{\partial\mathbf r}{\partial v}\right\|\,\mathrm du\,\mathrm dv$

$\implies\mathbf n\,\mathrm dS=-49(\cos u\sin^2v\,\mathbf i+\sin u\sin^2v\,\mathbf j+\cos v\sin v\,\mathbf k)\,\mathrm du\,\mathrm dv$

so that it points toward the origin at any point on S.

Then the integral with respect to u and v is

$\displaystyle\iint_S\mathbf F\cdot\mathrm d\mathbf S=\int_0^{\pi/2}\int_0^{\pi/2}\mathbf F(x(u,v),y(u,v),z(u,v))\cdot\mathbf n\,\mathrm dS$

$=\displaystyle-49\int_0^{\pi/2}\int_0^{\pi/2}(7\cos u\sin v\,\mathbf i-7\cos v\,\mathbf j+7\sin u\sin v\,\mathbf )\cdot\mathbf n\,\mathrm dS$

$=-343\displaystyle\int_0^{\pi/2}\int_0^{\pi/2}\cos^2u\sin^3v\,\mathrm du\,\mathrm dv=\boxed{-\frac{343\pi}6}$

4 0

3 years ago

An instructor of a large college class gave an exam that has a possible total of 100 points. The instructor records the scores o

pishuonlain [190]

Answer:

(a) the median grade lies between 76 and 84

(b) the Median grade is greater than the mean grade.

(d) the median grade is a B

Step-by-step explanation:

consider the histogram carefully and answer.

4 0

3 years ago

Please help with 11,12,13

faltersainse [42]

Problem 11

<h3>Answer: h = 2A/b</h3>

------------------

Explanation:

We need to get h by itself. To do so, we first multiply both sides by 2. Then we divide both sides by b

A = (1/2)*b*h

2A = b*h

b*h = 2A

h = 2A/b

================================================

Problem 12

<h3>Answers:</h3>

Equation: (n+2)/5 = 14
Solution to that equation: n = 68

------------------

Explanation:

The number n is increased by 2 to get n+2

Then we divide by 5 to get (n+2)/5

This is set equal to 14 to get the equation (n+2)/5 = 14

Solving the equation would look like this

(n+2)/5 = 14

n+2 = 5*14 .... multiply both sides by 5

n+2 = 70

n = 70-2 .... subtract 2 from both sides

n = 68

================================================

Problem 13

<h3>Answer: Not a solution</h3>

------------------

Explanation:

We'll replace every copy of x with -3 and simplify

-2x + 5 > 13

-2*(-3) + 5 > 13

6 + 5 > 13

11 > 13

The last inequality is false because 11 is not greater than 13. Since the last inequality is false, this makes the first inequality false when x = -3.

Therefore, x = -3 is not a solution.

3 0

2 years ago

Work out b(4½-3⅔)+1⅔​

Work out b(4½-3⅔)+1⅔