Answer:
Raising something to a negative exponent is just taking the reciprocal of the amount.
Step-by-step explanation:
Let's assume that you wanted to know what 
is.
To find it, you would take the reciprocal of the x amount. So becomes 
.
This works because of the nature of exponents. Exponents represent the number of times you are multiplying a value by itself. So 
would be equal to a · a · a. To increase the exponent, you increase the number of times the value is multiplied by itself: To increase to 
, you would have to multiply a with two more times (a · a · a · a · a). To decrease the exponent, you must divide the value by itself. So to decrease to 
, you would have to divide by a 3 times.
If the exponent is 0, the value is equal to 1. But you can still decrease the exponent into negative numbers. You just divide 1 by a the desired amount of times: 
means that you are dividing 1 by a 3 times.
Hope this helps.
Answer:
Alice: 20 coins, Ben: 16 coins, and Carlos: 4 coins.
Step-by-step explanation:
We know that the dive results in 40 gold coins.
We know that:
Alice: $7,600 Ben: $5,900 Carlos: $1,400.
So they have $ 14900 in total.
Now we will divide that money by 40.
So 1 gold coin costs $ 372.5. Now we will calculate how much they can get for the money they have.
We conclude that:
Alice: 20 coins, Ben: 16 coins, and Carlos: 4 coins.
Answer:
Ok so...
Mean: 68.76
Median: 72
Range: 85
Step-by-step explanation:
Answer:
6.8% decrease
Step-by-step explanation:
a drop of 8% means that only 92% of 125 boys remained on honor roll from last year; .92 x 125 = 115
a drop of 5% means that only 95% of 80 girls remained on honor roll from last year; .95 x 80 = 76
total number of students on honor roll last year = 125 + 80 = 205
total number of students on honor roll this year = 115 + 76 = 191
percent of change = (191 - 205) ÷ 205 = -14/205 = -.068
-.068, which represents a 6.8% decrease
Answer:
The kind of error the researcher has done is a;
Type I error
Step-by-step explanation:
When carrying out hypothesis testing in statistical analysis, a type I error is the type of error said to have occurred when a null hypothesis that is true or correct is rejected which is a false positive conclusion
Given that that sugar box manufacturing company makes the boxes to be 100 g accurately, and that the researcher makes non-random or randomly selects packets which are not filled, the mean of the filled packets is expected to be 100 g making the conclusion for rejection of the null hypothesis a false positive rejection
