Choose the correct answer. Your business signs a ninety-day promissory note for

iVinArrow [24]

Answer:

4^3x=4^(4x+4)

Step-by-step explanation:

You can eliminate the first 2 options since those don’t make sense already, and the last option changed 64 to 2^6 which is correct, but when they changed the other side. They should have multiplied 8 to both x and 1 which would have made the whole term 2^(8x+8) and not 2^(8x+1). Left with the third option, 4 to the power of 3 is 64 so the left side makes sense, 4^3x=64^x, on the right side, 4^4 equals 256, so the whole exponent should multiply by 4 so from 256^(x+1) you get 4^4(x+1) giving 4^(4x+4) making the third choice the right answer.

6 0

2 years ago

I NEED HELP SOMEONE PLEASE

slavikrds [6]

Answer: 45

Step-by-step explanation: 21 x 3 = 63, because 3x3 is 9. 9 tickets with a $2 discount would mean you take off $18, so I believe the answer would be 63-18=45.

5 0

4 years ago

An instructor who taught two sections of engineering statistics last term, the first with 20 students and the second with 30, de

Lelechka [254]

Answer:

(a) $P(X=10) = 0.2070$

(b) $P(X\geq 10) = 0.3798$

Step-by-step explanation:

Note that in this problem we have an initial population N = 50, of which 30 fulfill a certain characteristic "m" (belong to the second section). Then, from the population N, a sample of size n = 15 is selected and it is desired to know how many comply with the desired characteristic (second section).

So

Let X be the number of projects in the second section, then X is a discrete random variable that can be modeled by a hypergeometric distribution.

(a)

Therefore, to answer question (a) we use the following equation presented in the attached image:

Where:

$N = 50\\m = 30\\n = 15\\X = 10$

Then:

$P (X = 10) = \frac{\frac{30!}{10!(30-10)!}\frac{20!}{5!(20-5)!}}{\frac{50!}{15!(50-15)!}}\\\\\\P(X=10) = 0.2070$

(b)

For part (b) we have:

$P(X\geq10) = 1-P(X$

$P(X\geq 10) = 1-0.6202 \\\\P(X\geq 10) = 0.3798$

4 0

3 years ago

Donald sells 760 marbles everyday. He sells each marble for 1.5 dollars. For how many days does Donald need to sell marbles to e

Harman [31]

Answer:

Donald needs 3 days to earn 3420 dollars

Step-by-step explanation:

Donald sells 760 marbles everyday. He sells each marble for 1.5 dollars

amount collected in one day= $760 \cdot 1.5=1140 dollars$

In one day the amount earned is 1140 dollars

we need to find the number of days needs to earn 3420 dollars

Number of days needed is $\frac{3420}{1140}=2.842$

So its around 3 days

Donald needs 3 days to earn 3420 dollars

8 0

3 years ago

There are six people at a bus stop. Each person is half the age of the next person in line. The mean age of the group is 21. How

Mice21 [21]

Answer:

The youngest person is 2 years old

Step-by-step explanation:

There are six people at a bus stop.

We are told that:

The mean age of the group is 21.

The total number of people is 6 people

Hence:

The total sum of their ages is 21 × 6

= 126

Each person is half the age of the next person in line.

Let the age of the first person be = x

The age of the second person = x/2

The age of the third person = x/2 ÷ 2 = x/2 × 1/2 = x/4

The age of the fourth person = x/4 ÷ 2

x/4 × 1/2 = x/8

The age of the fifth person = x/8 ÷ 2

x/8 × 1/2 = x/16

The age of the sixth person = x/16 ÷ 2

x/16 × 1/2 = x/32

Hence:

x + x/ 2 + x/4 + x/8 + x/16 + x/32 = 126

Lowest Common Denominator is 32

32x + 16x + 8x + 4x + 2x + x/32 = 126

63x /32 = 126

Cross Multiply

63x = 126 × 32

63x = 4032

x = 4032 /63

x = 64 years

Hence, the age of the first person is 64 years.

The age of the youngest person which is the sixth person is :

x/32

= 64/32

= 2 years

7 0

3 years ago