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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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The price of an article is Rs 1200 and a customer pays Rs 1380 with VAT. Find the rate of VAT​
garik1379 [7]

Answer:

15%

Step-by-step explanation:

vat amount

= 1380 - 1200

=180

finding the rate of vat

= 1380/1200 *100

= 115%

NB : the 115% shows that 1200 8 115% = 1380 , this give total amount including vat , we only want vat hence we have to deduct the 100% which indicates the amount of article)

hence 115 - 100 = <u>15%</u>

15% * 1200= 180

8 0
2 years ago
Central City High School's robotics team is at a competition. In the last round, the team earned 80 points for their robot climb
gregori [183]
344=12x+80
A=344
B=12
C=80
5 0
2 years ago
Read 2 more answers
(14.14) larry reads that 1 out of 6 eggs contains salmonella bacteria. so he never uses more than 5 eggs in cooking. if eggs do
melomori [17]

we know that

The probability that "at least one" is the probability of exactly one, exactly 2, exactly 3, 4 and 5 contain salmonella.

The easiest way to solve this is to recognise that "at least one" is ALL 100% of the possibilities EXCEPT that none have salmonella.

If the probability that any one egg has 1/6 chance of salmonella

then

the probability that any one egg will not have salmonella = 5/6.

Therefore

for all 5 to not have salmonella


= (5/6)^5 = 3125 / 7776

= 0.401877 = 0.40 to 2 decimal places


REMEMBER this is the probability that NONE have salmonella


Therefore

the probability that at least one does = 1 - 0.40

= 0.60


the answer is

0.60 or 60%

6 0
2 years ago
Jenny starts running at a pace of 10 miles per hour. Her calf starts to hurt after 12 minutes, so she slows down to 6 miles per
iren2701 [21]

Answer:

42 minutes

Step-by-step explanation:

Here we want to calculate the number of minutes ran in total.

Kindly note that;

Time = distance/speed

Her starting speed is 10 miles/hour

but she ran for 12 minutes.

Kindly note that 12 minutes = 12/60 = 1/5 = 0.2 hour

So total distance in the first 12 minutes is speed * time = 10 * 0.2 = 2 miles

Now the rest of distance to run would be ;

5 -2 = 3 miles

She ran 3 miles at a speed of 6 miles per hour.

Time spent here is 3/6 = 0.5 hours which is same as 30 minutes

Total time spent = 30 + 12 = 42 minutes

8 0
2 years ago
The heights of students at a college are normally distributed with a mean of 175 cm and a standard deviation of 6 cm. One might
frosja888 [35]

Answer:

25

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 175cm

Standard deviation = 6 cm

Percentage of students below 163 cm

163 = 175 - 2*6

So 163 is two standard deviations below the mean.

By the Empirical rule, 95% of the heights are within 2 standard deviations of the mean. The other 100-95 = 5% are more than 2 standard deviations of the mean. Since the normal distribution is symmetric, 2.5% of them are more than 2 standard deviations below the mean(so below 163cm) and 2.5% are more than two standard deviations above the mean.

2.5% of the students have heights less than 163cm.

Out of 1000

0.025*1000 = 25

25 is the answer

8 0
2 years ago
Read 2 more answers
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