Answer: Isolate the variable by dividing each side by factors that don't contain the variable. x=−4
Step
Answer:
86 or 32, depending on the correctness of the syntax
Step-by-step explanation:
We use PEMDAS:
Parentheses: 4(2)5 2-6/(-3)
Exponents: <em>I'm assuming that all the syntax is correct (so no exponents).</em>
Multiplication and Division: 40*2+6 = 80 + 6
Addition and Subtraction: 86
If you copy+pasted this expression, then the original equation would have been: (4(8 − 6)^5)/(2 − 6 ÷ (−3)). We can use PEMDAS:
Parentheses: (4(2)^5)/(2 - 6 ÷ (−3))
- We solve the parentheses individually using PEMDAS:
- Exponents: (4*32) <-- Numerator | Denominator -->(2 - 6 ÷ (−3))
- Multiplication and Division: 128 <-- Numerator | Denominator --> 2 + 2
- Addition and Subtraction: 128 < -- Numerator | Denominator --> 4
We now have the following fraction: 128/4
That simplifies to 32
Answer:
100 students should be surveyed in order to cut the width of the interval down from 3 hours to 1.5 hours
Step-by-step explanation:
Given that a 95% confidence interval, based upon a sample of size 25, for the mean number of hours of sleep that college students get per night was 5 to 8 hours.
Confidence interval = (5,8)
This implies that mean = 6.5 and margin of error = 1.5
i.e. 
If the interval width to be cut into half then the
New confidence interval = (5.75, 7.25)
Margin of error = 0.75
This is possible only when new n= 100
Hence sample size should be increased to 100
100 students should be surveyed in order to cut the width of the interval down from 3 hours to 1.5 hours
Answer:
$377,358.49
Step-by-step explanation:
Let, the actual sales = $X
Given total sales amount including 6% of sales tax = $400,000
Therefore, (X+6% of X)= $400,000
⇒(X+X·6÷100)= $400,000
⇒(X+0.06X)= $400,000
⇒ 1.06X= $400,000
∴ X= $400,000÷ 1.06 = $ 377,358.49
Hence, the actual sales = $ 377,358.49
Answer:
Step-by-step explanation:
sin (330)
-4 cot
(-45)
csc (60)
