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liq [111]
2 years ago
10

A popular chain of superstores made 3.0479×108 dollars in profit last year. One particular store in the chain made 2.102×106 dol

lars in profit last year. How many times greater is the profit made by the entire chain last year than by this particular store? Drag and drop the values into the boxes to represent the answer in scientific notation. 0.145
1.45
145
​10²​​​
10^14​
​10^48​
Mathematics
1 answer:
ollegr [7]2 years ago
7 0
This is a simple exercise with rates.
You just have to divide the total profit of the store, that year, per the profit of the particular store.


[3.0479×10⁸ dollars] ÷ [2.102×10⁶ dollars] = 1,45 x 10²





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A population of 950 bacteria grows continuously at a rate of 4.75% per day. (a) Write an exponential function, N(t), that repres
krek1111 [17]

Answer: a) N(t) = 950e^0.0475t b) 1020

Step-by-step explanation:

a)

N(t) = 950e^0.0475t.

N/B — Base is e (exponential) because growth is continuous.

b)

N = {36/24} =(approximately) 1020

4 0
2 years ago
Read 2 more answers
Assume there are 365 days in a year.
MissTica

Answer:

1) The probability that ten students in a class have different birthdays is 0.883.

2) The probability that among ten students in a class, at least two of them share a birthday is 0.002.

Step-by-step explanation:

Given : Assume there are 365 days in a year.

To find : 1) What is the probability that ten students in a class have different birthdays?

2) What is the probability that among ten students in a class, at least two of them share a birthday?

Solution :

\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total number of outcome}}

Total outcome = 365

1) Probability that ten students in a class have different birthdays is

The first student can have the birthday on any of the 365 days, the second one only 364/365 and so on...

\frac{364}{365}\times \frac{363}{365} \times \frac{362}{365} \times \frac{361}{365}\times\frac{360}{365} \times \frac{359}{365} \times \frac{358}{365} \times \frac{357}{365} \times\frac{356}{365}=0.883

The probability that ten students in a class have different birthdays is 0.883.

2) The probability that among ten students in a class, at least two of them share a birthday

P(2 born on same day) = 1- P( 2 not born on same day)

\text{P(2 born on same day) }=1-[\frac{365}{365}\times \frac{364}{365}]

\text{P(2 born on same day) }=1-[\frac{364}{365}]

\text{P(2 born on same day) }=0.002

The probability that among ten students in a class, at least two of them share a birthday is 0.002.

6 0
2 years ago
In the figure, ABC DFE. What is the perimeter of ABC in inches?
lys-0071 [83]

Answer:

Step-by-step explanation: 54in

7 0
1 year ago
Circle E has a radius of 40 inches with = 324°. Find the exact length of
Anni [7]
Let the arc is ABC with angle 324 degree, to find the length of that arc follow the steps;
The circumference of the circle E is :C = 2 r π
C = 2 * 40 π = 80 π cm.
Also 324° / 360° = 0.9m Arc (ABC ) = 0.9 * 80 π = 72 π cm
There is also formula for calculating the measure of an arc:
m Arc = r π α / 180°
m Arc = 40 π * 324 / 180
= 40π * 1.8 = 72 π
Now we have to find the exact length ( π ≈ 3.14 ) 
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8 0
1 year ago
Read 2 more answers
The hypotenuse of a 45°-45°-90° triangle measures 10 StartRoot 5 EndRoot in. A right triangle is shown. The hypotenuse has a len
suter [353]

Answer:

5\sqrt{10}\ units

5 StartRoot 10 EndRoot

Step-by-step explanation:

we know that

The legs of a 45°-45°-90° triangle are congruent

Let

x ---->  the length of one leg of the triangle

Applying the Pythagorean Theorem

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we have

c=10\sqrt{5}\ units

a=b=x\ units

substitute

(10\sqrt{5})^2=x^2+x^2

500=2x^2\\x^2=250\\x=\sqrt{250}\ units

Simplify

x=5\sqrt{10}\ units

5 StartRoot 10 EndRoot

4 0
2 years ago
Read 2 more answers
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