Rick started with 10/10 of the grapes because he had all of them at the start.
Then he gave 2/10 and 4/10 of the grapes away.
10/10 - 2/10 - 4/10 = 4/10 = 2/5 left
answer: Rick had 2/5 of the grapes left.
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The Lena has no common ratio for the sequence 1.0 1.5 2.5 2.0
According to the question,
1.0 1.5 2.5 2.0
a = 1.0
r = 1.5/1 = 1.5
r = 2.5/1.5 = 1.6667
r = 2/2.5 = 0.8
common ratio is different, so given sequence is not geometric sequence.
Hence, the Lena has no common ratio for the sequence 1.0 1.5 2.5 2.0.
Learn more about common ratio here
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Answer:
Population mean = 7 ± 2.306 × 
Step-by-step explanation:
Given - A university researcher wants to estimate the mean number
of novels that seniors read during their time in college. An exit
survey was conducted with a random sample of 9 seniors. The
sample mean was 7 novels with standard deviation 2.29 novels.
To find - Assuming that all conditions for conducting inference have
been met, which of the following is a 94.645% confidence
interval for the population mean number of novels read by
all seniors?
Proof -
Given that,
Mean ,x⁻ = 7
Standard deviation, s = 2.29
Size, n = 9
Now,
Degrees of freedom = df
= n - 1
= 9 - 1
= 8
⇒Degrees of freedom = 8
Now,
At 94.645% confidence level
α = 1 - 94.645%
=1 - 0.94645
=0.05355 ≈ 0.05
⇒α = 0.5
Now,

= 0.025
Then,
= 2.306
∴ we get
Population mean = x⁻ ±
×
= 7 ± 2.306 × 
⇒Population mean = 7 ± 2.306 × 
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