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GREYUIT [131]
3 years ago
15

On a map of the United States, 24 cm represents 18 miles. How many centimeters represent 1 mile?

Mathematics
1 answer:
lozanna [386]3 years ago
6 0

Answer:

1.33333333333 cm

Step-by-step explanation:

It's pretty simple:

Based on the question, we know that 24cm = 18 miles

Therefore we can do a three simple rule

If 24 cm = 18 miles

   x cm =  1 mile

x = \frac{24 * 1}{18}

x = 1.33333333333 cm

 

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. The sandwich shop offers 8 different sandwiches. Jamey likes them all equally. He picks one randomly each day for lunch. Durin
Margarita [4]

Answer:

Step-by-step explanation:

From the given information:

A sandwich shop offers eight types of sandwiches, and Jamey likes all of them equally.

The probability that Jamey picks any one of them is 1/8

Suppose

X represents the number of times he chooses salami

Y represents the number of times he chooses falafel

Z represents the number of times he chooses veggie

Then  X+Y+Z ≤ 5 and;

5-X-Y-Z represents the no. of time he chooses the remaining

8 - 3 = 5 sandwiches

However, the objective is to determine the P[X=x,Y=y,Z=z] such that 0≤x,y,z≤5

So, since he chooses x no. of salami sandwiches with probability (1/8)x

and y number of falafel with probability (1/8)y

and for z (1/8)z

Therefore, the remaining sandwiches are chosen with probability \dfrac{5}{8} (5-x-y-z)

So. these x days, y days and z days can be arranged within five days in

= \dfrac{5!}{x!y!z!(5-x-y-z)!}

Thus;

P[X=x,Y=y,Z=z]=  \dfrac{5!}{x!y!z!(5-x-y-z)}  \times \dfrac{1}{8}x*\dfrac{1}{8}y* \dfrac{1}{8}z* \dfrac{5}{8}(5-x-y-z)

since 0 ≤ x, y, z ≤ 5 and x + y + z ≤ 5.

The distribution is said to be Multinomial distribution.

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B6%7D%7B25%7D%20%3D%20%20%5Cfrac%7Bd%7D%7B30%7D%20" id="TexFormula1" title=" \frac
GarryVolchara [31]

Answer:

For \frac{6}{25}   = \frac{d}{30} , d = 7.2

Step-by-step explanation:

Here, the given expression is \frac{6}{25}   = \frac{d}{30}

To find the value of the variable d :

\frac{6}{25}   = \frac{d}{30}  \implies d = \frac{6}{25} \times 30

or, d = \frac{180}{25}  = \frac{36}{5 }   = 7.2

Hence, for \frac{6}{25}   = \frac{d}{30} , d = 7.2

5 0
3 years ago
Need help *URGENT*<br> 7th grade <br> Vertical Angles
Blababa [14]

Answer:

EBC = 90

FBG = 25

ABF = 115

ABG = 140

EBG = 50

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7 0
3 years ago
Which expression is equivalent to sec^2xcot^2x?
Lady_Fox [76]
\sec x=\dfrac{1}{\cos x}\\\\\cot x=\dfrac{\cos x}{\sin x}


\sec^2x\cot^2x=\dfrac{1}{\cos^2x}\cdot\dfrac{\cos^2x}{\sin^2x}=\dfrac{\cos^2x}{\cos^2x\sin^2x}=\dfrac{1}{\sin^2x}
8 0
3 years ago
Read 2 more answers
united services and supplies reports net income of $100000 and cost of goods of $353000. If US&amp;S's gross profit rate was 30%
deff fn [24]

Answer:

Net sales is $ 504285.71

Step-by-step explanation:

We have the following:

Let net sales be x.

Net sales - Cost of goods sold = Gross profit

We replace and we are left with:

x - $ 353000 = x * 30%

x - $ 353000 = 0.30 * x

x - 0.30 * x = $ 353000

0.7 * x = $ 353000

x = $ 353000 / 0.7

x = $ 504285.71

Therefore, net sales is $ 504285.71

8 0
3 years ago
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