The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches. Men the same age have mean height 69.3 inches with standard deviation 2.8 inches.
Answer: R12.20
Step-by-step explanation:
VAT in South Africa is 15% so if the flat rate is R93.57, the VAT amount can be found by finding the pre-tax flat rate:
93.57 = x + 0.15x
1.15x = 93.57
x = 93.57/1.15
x = R81.37
VAT is 15% of R81.37:
= 15% * 81.37
= R12.20
The answer is 4x + 5y.
Here, what needs to be done is to combine like terms.
- 5x + 4y + 3x - 7y - 4x + 8y
- 5x + 3x - 4x + 4y + 8y - 7y
- 4x + 5y
The length of extra cable that is required to connect the two pieces of existing cable is equal to 182 meters.
<h3>How to determine the length of extra cable?</h3>
In order to determine the length of extra cable that is required to connect the two pieces of existing cable, we would apply the law of cosine as follows:
B² = A² + C² - 2(A)(C)cosB
Substituting the given parameters into the formula, we have;
B² = 325.0² + 430.0² - 2(325.0)(430.0)cos23
B² = 105,625 + 184,900 - 279,500(0.9205)
B² = 290,525 - 257,279.75
B² = 33,245.25
B = √33,245.25
B = 182.33 ≈ 182 meters.
Read more on cosine law here: brainly.com/question/11000638
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