Answer:
Step-by-step explanation:
Hello!
To determine whether boys excel in math classes compared to girls, two random samples were collected:
Sample 1
X₁: score achieved by a boy in calculus
n₁= 15
X[bar]₁= 82.3%
S₁= 5.6%
Sample 2
X₂: score obtained by a girl in calculus
n₂= 12
X[bar]₂= 81.2%
S₂= 6.7%
To estimate a confidence interval for the difference between the average percentages of boys and girls in calculus, it's essential that both variables come from normally distributed populations.
For utilizing a pooled variance t-test, it is also required that the population variances, though unknown, are assumed to be equal.
The confidence interval can then be calculated with:
[(X[bar]_1 - X[bar]₂) ± 
* 
]
[(82.3 - 81.2) ± 1.708 * (6.11 * 
]
[-2.94; 5.14]
Using a 90% confidence level, the interval [-2.94; 5.14] is expected to encompass the true difference between the average percentages achieved by boys and girls in calculus.
I hope this is of assistance!
A rational number refers to any number that can be written as a fraction, such as 2, -3, 2/3, etc.
Essentially, any non-repeating number found between 31.5 and 31.6 would suffice.
Examples include: 31.51, 31.52, 31.568, 31.599
I suggest 31.55 since it’s straightforward and can be expressed as the fraction: 361/20
Answer:
Someone has previously provided an answer to this question, and I must attribute it to writersparadise. All credit goes to him/her.
Step-by-step explanation:
There can be various responses to this query. Usually, the next number following 16 has digits that add up to 8.
Explanation:
First number 31 – The digits add up to 3 + 1 = 4
Second number 1031 – The sum of the digits is 1 + 0 + 3 + 1 = 5
Third number 402 – The digits sum to 4 + 0 + 2 = 6
Fourth number 16 – Adding the digits gives 1 + 6 = 7
Thus, the missing number could either be the single digit 8 or any of these two-digit options: 17, 26, 35, 44, 53, 62, 71, or 80. It may also include larger numbers consisting of the digits from the mentioned two-digit figures combined with 0, like 260 or 7001.
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Answer:
The three errors are:
1) Incorrectly swapping the variables x and y.
2) Failure to use the ± symbol.
3) The domain is wrong; it should be x ≤ 0.
Step-by-step explanation:
Review the following steps.
Step 1: 
The initial step is incorrect because the variables x and y were switched improperly; it should be:
Step 2: 
Step 3: 
Step 4: 
, for x ≥ 0
Step 4 contains an error as the ± sign is required. Additionally, the function's domain is inaccurately stated.
The radicand must be nonnegative, implying that x must satisfy x ≤ 0.
$725, 3/4 of 20 equals 15 necklaces. 15 times 40 equals 600. Then, 5 times 25 results in 125. Finally, 125 plus 600 equals 725.
