Answer: a=36; b=18
Step-by-step explanation:
1. You know that the sum of two numbers is 54, then, you have:
a+b=54
2. According to the problem, the larger number is 18 more than the sampler number, this can be expressed as following:
a=b+18
3. Then, you must substitute the second equation into the first equation and solve for b:
b+18+b=54
b=18
4. Then the value of a is:
a+18=55
a=36
Using the Central Limit Theorem, it is found that:
- The standard deviation is
.
<h3>Central Limit Theorem</h3>
- It states that for a <u>proportion p in a sample of size n</u>, the sampling distribution of sample proportions has mean
and standard deviation 
- When two variables are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.
In 2006, 95% of new cars in the US came with a spare tire, with a sample of 250, hence:
In 2017, 72% of new cars in the US came with a spare tire, with a sample of 250, hence:
Hence, for the distribution of differences:
To learn more about the Central Limit Theorem, you can take a look at brainly.com/question/16695444
Answer:
Helena needs 2 ¹/₂ cups water and 1 ¹/₄ cups vinegar for a half batch. She needs 10 cups of water and 5 cups of vinegar for a double batch.
Since, <span>point K is the image of point J under a reflection across line L.
The distance, JM = MK
</span>Hence, 2x + 4 = 4x - 6
4x - 2x = 4 + 6
2x = 10
x = 5
Also refrection of a point across a line form an angle of 90 degrees at the point of refrection.
i.e. 3y - 30 = 90
3y = 90 + 30 = 120
y = 120 / 3 = 40
Therefore, the value of y is 40.
Answer:
yes
Step-by-step explanation:
Given the 2 equations
y = 
x + 6 → (1)
y = - x + 5 → (2)
Substitute y = x + 6 into (2)
x + 6 = - x + 5 ( add to both sides )
x + 6 = 5 ( subtract 6 from both sides )
x = - 1 ( divide both sides by )
x = 
= - 
← one solution
