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xeze [42]
3 years ago
6

The area of a rectangular fountain is x2 + 9x + 20 square feet. A 5-foot walkway is built around the fountain. Find the dimensio

ns of the outside border of the walkway. The dimensions of the outside border of the walkway are _ feet and _ feet (fill in the _ s)

Mathematics
1 answer:
Leviafan [203]3 years ago
6 0

Answer:

So, the dimensions of the outside border of the walkway are (x + 14) feet (x + 15) feet.

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Various studies indicate that approximately 11% of the world's population is left handed. You think this number is actually high
Irina-Kira [14]

Answer:

a. H0 : p ≤ 0.11 Ha : p >0.11 ( one tailed test )

d. z= 1.3322

Step-by-step explanation:

We formulate our hypothesis as

a. H0 : p ≤ 0.11 Ha : p >0.11 ( one tailed test )

According to the given conditions

p`= 31/225= 0.1378

np`= 225 > 5

n q` = n (1-p`) = 225 ( 1- 31/225)= 193.995> 5

p = 0.4 x= 31 and n 225

c. Using the test statistic

z=  p`- p / √pq/n

d. Putting the values

z= 0.1378- 0.11/ √0.11*0.89/225

z= 0.1378- 0.11/ √0.0979/225

z= 0.1378- 0.11/ 0.02085

z= 1.3322

at 5% significance level the z- value is ± 1.645 for one tailed test

The calculated value falls in the critical region so we reject our null hypothesis H0 : p ≤ 0.11 and accept  Ha : p >0.11 and  conclude that the data indicates that the 11% of the world's population is left-handed.

The rejection region is attached.

The P- value is calculated by finding the corresponding value of the probability of z from the z - table and subtracting it from 1.

which appears to be 0.95 and subtracting from 1 gives 0.04998

8 0
3 years ago
a) A six sided dice is unbiased . It is numbered 1,2,3,4,5 and 6 on its faces. The dice is rolled several times until it lands o
masha68 [24]
P(not 5) =5/6 and P(5) = 1/6
If the first 5 is rolled on the 5th roll then the first four rolls were not 5
P(5 on fifth roll) = 5/6 x 5/6 x 5/6 x 5/6 x 1/6 = 5^4/6^5 = 625/7776 = 0.080375...
6 0
2 years ago
A bag contains 4 red and 6 green gumballs. if you select 5 of them without looking, how many ways can you get exactly 3 red or e
marusya05 [52]
This is a combination problem. The approach to this is by using the nCr method, where n is the number of total objects and r is the number of success. For example, if you want to get 3 red out of the total 4, then that would be 4C3. That means,

4C3 = 4!/3!(4 - 3)! = 4 ways

If you want to get 2 green out of the total 6, then that would be 6C2. That means,

6C2 = 6!/2!(6-2)! = 15 ways

Therefore, there are a total of 4+15 = <em>19 ways</em>.
8 0
3 years ago
The product of two numbers is 21. If the first number is -3, which equation represents this situation and what is the second num
Misha Larkins [42]

Answer:

C.

The equation that represents this situation is -3x = 21. The second number is -7.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Write expanded form for six hundred and four hundred thirteen thousandths
lakkis [162]
64,013,000 =
<span>six hundred and four hundred thirteen thousandths =
60,000,000 + 4,000,000+10,000+3,000</span>
4 0
3 years ago
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