Can someone solve this!!!!

I hope this is visible but I’m stuck on part c

Gemiola [76]

3,550 toys
I showed work below

7 0

3 years ago

The approximate number of bicycles in the United States in the year 2007 was 14,000,000. How can this number be expressed in sci

elena-s [515]

Answer:

$1.4*10^7$

Step-by-step explanation:

we have

$14,000,000$

Remember that

$14,000,000=1.4(10,000,000)$

and

$10,000,000=1*10^7=10^7$

substitute

$14,000,000=1.4*10^7$

8 0

3 years ago

What is the probability of flipping a coin 10 times and getting tails 7 times ? Round your answer to the nearest tenth of a perc

KatRina [158]

Answer:

Option C: 11.7%

Step-by-step explanation:

The number of elements in sample space when a coin is flipped 10 times will be:

$n(S) = 2^{10} \\= 1024$

Let A be the event that the tails appear 7 times:

Then,

$C_{(n,k)}=\frac{n!}{(k!)(n-k)!} \\where\\n=population\\k=picks\\In our case, k =7\\and\\n=10\\C_{(10,7)}= \frac{10!}{(7!)(10-3)!}\\= 120\\So, \\P(A) = \frac{n(A)}{n(S)} \\P(A) = \frac{120}{1024} \\= 0.1171\\$

Converting into percentage:

$P(A) = 0.1171*100=11.7%$

So, option C is correct ..

6 0

3 years ago

The doubling period of a bacterial population is 20 20 minutes. At time t = 100 t=100 minutes, the bacterial population was 9000

Nuetrik [128]

Answer:

The initial population was 2810

The bacterial population after 5 hours will be 92335548

Step-by-step explanation:

The bacterial population growth formula is:

$P = P_0 \times e^{rt}$

where P is the population after time t, $P_0$ is the starting population, i.e. when t = 0, r is the rate of growth in % and t is time in hours

Data: The doubling period of a bacterial population is 20 minutes (1/3 hour). Replacing this information in the formula we get:

$2 P_0 = P_0 \times e^{r 1/3}$

$2 = e^{r \; 1/3}$

$ln 2 = r \; 1/3$

$ln 2 \times 3 = r$

$2.08 \% = r$

Data: At time t = 100 minutes (5/3 hours), the bacterial population was 90000. Replacing this information in the formula we get:

$90000 = P_0 \times e^{2.08 \; 5/3}$

$\frac{9000}{e^{2.08 \; 5/3}} = P_0$

$2810 = P_0$

Data: the initial population got above and t = 5 hours. Replacing this information in the formula we get:

$P = 2810 \times e^{2.08 \; 5}$

$P = 92335548$

3 0

3 years ago

Write an algebraic expression for the phrase "thirty less than the product of a number y and four".

zzz [600]

Answer:

30-(y*4)

Step-by-step explanation:

replace thirty with 30. less than is - (minus). the product of a number y and four. replace four with 4. the product is the answer of the multiplication problem. so the multiplication problem here would be y*4. so the full answer is

30-(y*4)

8 0

3 years ago

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