Answer:
1)= a 30
2)= b 2¹⁰
3)= d 0.75²
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Answer:
D. Only one cleaning product was asked about in the survey.
Any given company can use more than one cleaning product or even use a combination of different cleaning products. The question was not specific enough, since it should have probably asked which cleaning products are used and which ones are used more frequently.
Step-by-step explanation:
the other options are wrong because:
- A. Only 50 cleaning services were surveyed. ⇒ This actually would increase the validity of the claim because it satisfies the the condition for a valid confidence interval [np and n(1 - p) are larger than 10]-
- B. Cleaning services were selected at random. ⇒ This actually would increase the validity of the claim.
- C. A well-known company conducted the survey. ⇒ This actually would increase the validity of the claim.
Answer:
2a-3 and a+4
Step-by-step explanation:
Given the equation
2a²+8a -15 = 3a - 3
We are to find one of its factors
Equate the expression to zero
2a²+8a -15 = 3a - 3
2a²+8a -15 - 3a + 3 = 0
Collect the like terms
2a²+8a - 3a - 15 + 3= 0
2a²+5a - 12= 0
Factorize
2a²+8a-3a - 12= 0
2a(a+4)-3(a+4) = 0
(2a-3)(a+4) = 0
Hence the factors are 2a-3 and a+4
Find the LCD of 9/14 and 2/7. LCD is 14.
Make the denominators(bottom numbers) the same as the LCD(14)
Simplify. Now denominators are same and even
Join the denominators so make it into -9 + 4 / 14
Now simplify it lastly
Answer: 5/-14.
Answer: Brielle will run the marathon faster.
Brielle = 104.8 minutes
Joshua = 157.2 minutes
Step-by-step explanation:
Speed rate = distance /time
Brielle = 1.25 /10 = 0.125 miles per minute
Joshua = 1.5/18 = 0.083333 =1/12 miles per minute
Since 0.125 (Brielle) > 1/12 (Joshua)
Brielle will run the marathon faster.
To calculate the time that takes each one to run the entire race (13.1 miles)
Time= distance / speed
- Brielle = 13.1 /0.125 = 104.8 minutes
- Joshua = 13.1 / (1/12)= 157.2 minutes
Feel free to ask for more if needed or if you did not understand something.