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3 years ago

5

Charlie has 324 magazines to pack in 5 boxes . He will pack the same number of magazines in each box. How many magazines will he

have left over

1 answer:

PtichkaEL [24]3 years ago

5 0

Answer:

4 magazines left over

Step-by-step explanation:

$\frac{324}{5} = 64 \frac{4}{5}$

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Angela uses a scanner to make a reduced-size (smaller) copy of a rectangular photo that is 8 inches long and 4 inches wide. The

svet-max [94.6K]

Answer:

The new width = 2 inches

Step-by-step explanation:

Original dimensions of the rectangular photo:

Length : width = 8 inches : 4 inches

Reduced dimensions of the rectangular photo:

Let

x = the new width

Length : width = 4 inches : x inches

Equate both dimensions to get the value of x

Length : width

8 inches : 4 inches = 4 inches : x inches

8 / 4 = 4 / x

Cross product

8 * x = 4 * 4

8x = 16

x = 16/8

x = 2 inches

The new width = 2 inches

6 0

3 years ago

HELP ME PLEASE ASAP!!!!!!!!

sergij07 [2.7K]

Answer:

(2, 14), (3, 7)

Step-by-step explanation:

The way these angles are numbered, corresponding angle numbers differ by 4, 8, or 12.

Corresponding angles are ...

Angle 2 and Angle 14 . . . . . . numbers differ by 12

Angle 3 and Angle 7 . . . . . . . numbers differ by 4

_____

If a given angle is Northwest of the intersection, any corresponding angle will also be Northwest of its intersection. Corresponding angles are ...

northwest: {1, 5, 9, 13}

northeast: {2, 6, 10, 14}

southeast: {3, 7, 11, 15}

southwest: {4, 8, 12, 16}

Any pair of numbers from the same set will be corresponding angles.

8 0

2 years ago

Solve for x. <br>x/3 = 5/8 <br>24/5<br>15/8<br>8/15

harina [27]

Answer:

Step-by-step explanation:

you need to use the proportions

x=(3*5)/8=15/8

3 0

3 years ago

A shop makes a profit of £2750 in March.

LiRa [457]

Answer:

15% increase

Step-by-step explanation:

2750... 10% of that is 275, add 275 to 2750 is 3025. 1% of 2750 is 27.50, you times that by 5, which is 137.50 and add that to 3025 giving you 3162.50, add the 10% with the 5% gives you 15%, that's the increase.

7 0

3 years ago

A source of information randomly generates symbols from a four letter alphabet {w, x, y, z }. The probability of each symbol is

koban [17]

The expected length of code for one encoded symbol is

$\displaystyle\sum_{\alpha\in\{w,x,y,z\}}p_\alpha\ell_\alpha$

where $p_\alpha$ is the probability of picking the letter $\alpha$ , and $\ell_\alpha$ is the length of code needed to encode $\alpha$ . $p_\alpha$ is given to us, and we have

$\begin{cases}\ell_w=1\\\ell_x=2\\\ell_y=\ell_z=3\end{cases}$

so that we expect a contribution of

$\dfrac12+\dfrac24+\dfrac{2\cdot3}8=\dfrac{11}8=1.375$

bits to the code per encoded letter. For a string of length $n$ , we would then expect $E[L]=1.375n$ .

By definition of variance, we have

$\mathrm{Var}[L]=E\left[(L-E[L])^2\right]=E[L^2]-E[L]^2$

For a string consisting of one letter, we have

$\displaystyle\sum_{\alpha\in\{w,x,y,z\}}p_\alpha{\ell_\alpha}^2=\dfrac12+\dfrac{2^2}4+\dfrac{2\cdot3^2}8=\dfrac{15}4$

so that the variance for the length such a string is

$\dfrac{15}4-\left(\dfrac{11}8\right)^2=\dfrac{119}{64}\approx1.859$

"squared" bits per encoded letter. For a string of length $n$ , we would get $\mathrm{Var}[L]=1.859n$ .

5 0

2 years ago