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AnnZ [28]
3 years ago
9

Write 625 in exponential form in two different ways. PLEASE help me I will give 45 points!

Mathematics
1 answer:
liq [111]3 years ago
5 0

Answer:

25^2

5^4

Step-by-step explanation:

625 = 25*25 = 25^2

       =5*5 *5*5 = 5^4

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How many ft r in ten meters
dolphi86 [110]
1 ft = 0.3048 meters
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3 years ago
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Suppose that 7 in every 10 auto accidents involve a single vehicle. If 15 auto accidents are randomly selected, compute the prob
kobusy [5.1K]

Answer:

\mathbf{P(X \le 4 ) \simeq 0.0006722}

Step-by-step explanation:

From the information given:

p = x/n

p = 7/10

p = 0.7

sample size n = 15

Suppose X be the number of accidents involved by a single-vehicle.

Then;

X \sim Binom (15,0.7)

Thus, the required probability that at most  4 involve in a single-vehicle is

P(X\le 4) \\ \\P(X \le 4) = P(X = 0) + P(X =1 ) + ... + P(X = 4)

P(X \le 4 ) = (^{15}_0) *0.7^0 *0.3^{15-0} + (^{15}_1) *0.7^1 *0.3^{15-1} + (^{15}_2) *0.7^2 *0.3^{15-2} + (^{15}_3) *0.7^3 *0.3^{15-3} + (^{15}_4) *0.7^4 *0.3^{15-4}

P(X \le 4 ) = (\dfrac{15!}{0!(15-0)!}) *0.7^0 *0.3^{15-0} + (\dfrac{15!}{1!(15-1)!}) *0.7^1 *0.3^{15-1} + (\dfrac{15!}{2!(15-2)!}) *0.7^2 *0.3^{15-2} + (\dfrac{15!}{3!(15-3)!}) *0.7^3 *0.3^{15-3} + (\dfrac{15!}{4!(15-4)!}) *0.7^4 *0.3^{15-4}

P(X \le 4 ) =1.4348907 \times 10^{-8} +5.02211745 \times 10^{-7} + 8.20279183 \times 10^{-6} + 8.29393397 \times 10^{-5} + 5.80575378  \times 10^{-4}

P(X \le 4 ) =6.7223407 \times 10^{-4}

\mathbf{P(X \le 4 ) \simeq 0.0006722}

3 0
3 years ago
What is the unit rate for 1/2 hour: $ 1.25
ollegr [7]
$1.25/ (1/2 hour)= $2.50/ hour

The final answer is $2.50/hour~
8 0
3 years ago
There is a ratio of 7 children to every to caretakers if there are a 189 total children then how many rare people are at the day
andriy [413]

189 x 7 = 1323 + 189 =

7 0
4 years ago
The cost for x number of students to attend an after school sporting event can be represented bu the functon C(x). If C(124) = 5
lara [203]
Alright! Given that C(x) is Cost(Students) = 558, we can eliminate:

2. 558 students paid to attend the event.
5. The event generated $124 from student revenue.

Now, in order to find the cost per student we simply divide 124 on both sides:

\frac{C(124)}{124} =  \frac{558}{124}

124 cancels on the left and 558/124 is 4.5 or $4.50. 

Since we just determined the cost of one student, we can eliminate 3.

To check if 124 students paid, we simply add the cost to the equation and check:

4.5(124) = 558

558 = 558 √

It checks out, so we determined that both 1 and 4 are correct.
7 0
3 years ago
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