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3 years ago

What percent of 120 is 78?

2 answers:

6 0

65% since 78/120 is .78 and when moving from decimal to percent you move the decimal place two times to the right
hope this helps

frosja888 [35]3 years ago

5 0

78/120 = 0.65

0.65 = 65%

Hope this helped☺☺

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A book contains 400 pages. If their are 80 typing errors randomly distributed throughout the book, use the Poisson distribution

Nikitich [7]

Using the Poisson distribution to determine the probability that a page contains exactly 2 errors is 0.0163

<h3><u>Solution:</u></h3>

Given that, a book contains 400 pages.

There are 80 typing errors randomly distributed throughout the book,

We have to use the Poisson distribution to determine the probability that a page contains exactly 2 errors.

<em><u>The Poisson distribution formula is given as:</u></em>

$\text { Probability distribution }=e^{-\lambda} \frac{\lambda^{k}}{k !}$

Where, $\lambda$ is event rate of distribution. For observing k events.

$\text { Here rate of distribution } \lambda=\frac{\text { go mistakes }}{400 \text { pages }}=\frac{1}{5}$

And, k = 2 errors.

$\begin{array}{l}{\text { Then, } \mathrm{p}(2)=e^{-\frac{1}{5}} \times \frac{\frac{1}{5}}{2 !}} \\\\ {=2.7^{-\frac{1}{5}} \times \frac{\frac{1}{5^{2}}}{2 \times 1}} \\\\ {=\frac{1}{2.7^{\frac{1}{5}}} \times \frac{\frac{1}{25}}{2}}\end{array}$

$\begin{array}{l}{=\frac{1}{\sqrt[5]{2.7}} \times \frac{1}{25} \times \frac{1}{2}} \\\\ {=\frac{1}{50 \sqrt[5]{2.7}}} \\\\ {=0.0163}\end{array}$

Hence, the probability is 0.0163

5 0

4 years ago

Please help!!! keep in mind this is a REVIEW question. Which of the following is NOT a congruence transformation? A. a dilation

Lady_Fox [76]

Answer:

Hey there!

A congruence transformation maintains the size of the shape.

Thus, a dilation with scale factor 2 is not a congruence transformation.

Let me know if this helps :)

4 0

3 years ago

Pls help me with this

Natali5045456 [20]

Answer:

4.50

Step-by-step explanation:

sin 40°= opposite/hypotenuse

sin 40°= opp/7

0.6428= opp/7

multiply both sides by 7

$0.6428 \times 7 = \frac{opp}{7} \times 7$

4.4996= opp

to nearest hundredth = 4.50

3 0

3 years ago

After Hillary realized her clock was running 30 minutes fast, she used a knob on the clock to turn the minute hand back 30 minut

Svetlanka [38]

30 minutes is half the clock face, 180 degrees.

Forward is clockwise on a clock so backwards is counterclockwise.

180 degrees counterclockwise rotation

3 0

3 years ago

Read 2 more answers

A cashier collects 124 bills totaling $920 dollars. Assuming that the cashier collects $5, $10, and $20 bills, and that she coll

musickatia [10]

Let the no. of $10 bills be x, the no. of $5 bills be 2x, and the no. of $20 bills be y.

<span>A cashier collects 124 bills => x + 2x + y = 124 => 3x +y =124

</span>totaling $920 dollars => ($10)(x) + ($5)(2x) + ($20)(y) = $920 => 20x + 20y = 920

Now you got 2 equations :
3x +y =124 &
20x + 20y = 920

3x +y =124 => y=124-3x
Then Sub y=124-3x into 20x + 20y = 920,
ie. 20x + 20(124-3x) = 920
20x + 2480 - 60x = 920
2480 - 40x = 920
2480 - 920 = 40x
1560 = 40x
x = 39

6 0

4 years ago