The width of the driveway is 5x-2 and the height of the carport is 6x+1.
The area of a rectangle is given by length * width. Since the area is 5x²+43x-18 and the length is x+9, to find the width, we divide:
The first term of the quotient will be the number of times x goes into 5x². It goes 5x times; multiply this by the divisor, and we have 5x²+45x to write under the first two terms of the dividend.
Subtracting these, we have -2x left over; bring down the -18. The second term of the quotient will be the number of times x+9 goes into -2x-18; it goes -2 times. Multiply this by the divisor, and we have -2x-18 with no remainder. This gives the quotient 5x-2.
The volume of the carport is given by the area of the base * the height; since the volume is 48x³+68x²-8x-3 and the area of the base is 8x²+10x-3, we divide to get the height.
The first term of the quotient will be the number of times 8x² goes into 48x³. It goes 6x times; multiply this by the divisor and we have 48x³+60x² to write under the first two terms of the dividend.
Subtract these and we have 8x²+10x left over; bring down the -3. The second term of the quotient will be the number of times 8x² goes into 8x²; it goes 1 time. Multiply this by the divisor and we have 8x²+10x-3 with no remainder. This makes the height 6x-3.
Answer: his overall GPA will be 2.93, which means he doesn't pass out with a 3.0 GPA
Step-by-step explanation:
GPA = 2.78
total credit hour = 105
Total credit unit = 105 x 2.78 = 291.9
If he takes a 15 credit hour and gets a perfect 4.0 GPA,
his total credit unit = 15 x 4 = 60
Final GPA = (291.9 + 60)/(105 + 15)
= 351.9/120 = 2.93
Answer: $9.25 per ticket.
Explanation:
First, find the total discount that the coupons give them;
6 × 1.50 = $9.00
Next, add the discount amount to what they paid;
$46.50 + $9.00 = $55.50.
$55.50 is the total they would have spent without the coupons.
Then divide the the amount they would have spent by the number of people;
6 ÷ $55.50 = $9.25
Answer:
The probability of getting two consumers comfortable with drones is 0.3424.
Step-by-step explanation:
The probability that a consumer is comfortable having drones deliver their purchases is, <em>p</em> = 0.43.
A random sample of <em>n</em> = 5 consumers are selected, and exactly <em>x</em> = 2 of them are comfortable with the drones.
To compute the probability of getting two consumers comfortable with drones followed by three consumers not comfortable, we will use the Binomial distribution instead of the multiplication rule to find the probability.
This is because in this case we need to compute the number of possible combinations of two consumers who are comfortable with drones.
So, <em>X</em> = number of consumers comfortable with drones, follows a Binomial distribution with parameters <em>n</em> = 5 and <em>p</em> = 0.43.
Compute the probability of getting two consumers comfortable with drones as follows:
Thus, the probability of getting two consumers comfortable with drones is 0.3424.
Answer:
15/16 (93.75%)
Step-by-step explanation:
List of Possible Combinations:
BBBB, BBBG, BBGB, BBGG, BGBB, BGBG, BGGB, BGGG, GBBB, GBBG, GBGB, GBGG, GGBB, GGBG, GGGB, GGGG
As you can see, only 1 out of 16 of the possible combinations is all boys. This means that the chance of at least 1 girl among the 4 children is 15 out of 16 (15/16) or 93.75%