Answer: (110.22, 125.78)
Step-by-step explanation:
The confidence interval for the population mean is given by :-
Given : Sample size = 463
Significance level : 
Critical value : 
We assume that the population is normally distributed.
Now, the 90% confidence interval for the population mean will be :-
Hence, 99% confidence interval for the mean study time of all first-year students = (110.22, 125.78)
<span>2.5<span>(<span><span>6x</span>−4</span>)</span></span>=<span><span><span><span><span>(10)</span><span>(4)</span></span><span>(1.5)</span></span><span>(0.5)</span></span><span>x
</span></span><span><span><span><span>(2.5)</span><span>(<span>6x</span>)</span></span>+<span><span>(2.5)</span><span>(<span>−4</span>)</span></span></span>=<span><span><span><span><span>(10)</span><span>(4)</span></span><span>(1.5)</span></span><span>(0.5)</span></span>x</span></span>(Distribute)<span><span><span><span>15x</span>+</span>−10</span>=<span>30x
</span></span><span><span><span>15x</span>−10</span>=<span>30<span>x
</span></span></span><span><span><span><span>15x</span>−10</span>−<span>30x</span></span>=<span><span>30x</span>−<span>30x</span></span></span><span><span><span>−<span>15x</span></span>−10</span>=<span>0
</span></span><span><span><span><span>−<span>15x</span></span>−10</span>+10</span>=<span>0+10</span></span><span><span>−<span>15x</span></span>=<span>10
</span></span><span><span><span>−<span>15x</span></span><span>−15</span></span>=<span>10<span>−15</span></span></span><span>x=<span><span>−2</span><span>3
</span></span></span>Answer:<span>x=<span><span>−2</span><span>3</span></span></span>
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</span><span>
</span>
Answer:
21:26:38
Step-by-step explanation:
Ratio in mathematics is the relationship between two or more amounts, showing how many times they can be contained in one another.
Example: 1:2 means there are two times the first amount in the second.
For the case above;
Given;
Number of each shape noah drew;
hearts = 26
Stars = 21
circles = 38
The ratio of stars to hearts to circles
N(stars) : N(hearts) : N(circles)
21:26:38
Since they are not divisible by a common factor the ratio remains;
21:26:38
(3) 62.5% cuz u take the total number of the students and u divide it by the number of students between 60 to 65
Answer:
£2088
or
US$ 2,536.48 dollars (2021)
Step-by-step explanation:
4% of 1800 = 72
72 x 4 = 288
1800 + 288 = 2088
He has £2088 at the bank after 4 year
