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OLEGan [10]
4 years ago
11

Consider the density curve shown.

Mathematics
1 answer:
Naya [18.7K]4 years ago
7 0

Answer:

The mean of the density curve is greater than the median.

Step-by-step explanation:

The distribution is skewed right.  So the mean is greater than the median.  And of course, the curve is not symmetrical.

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8x - 12 = 15x - 4x
S_A_V [24]

Answer: Isolate the variable by dividing each side by factors that don't contain the variable. x=−4

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3 years ago
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Evaluate the expression: 4(8 − 6)5 2 − 6 ÷ (−3).
mr Goodwill [35]

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

7 0
3 years ago
Suppose a 95% confidence interval, based upon a sample of size 25, for the mean number of hours of sleep that college students g
Anastaziya [24]

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. 1.5 =1.96*\frac{s}{\sqrt{25} }

If the interval width to be cut into half then the

New confidence interval = (5.75, 7.25)

Margin of error = 0.75

0.75=1.96*\frac{s}{\sqrt{n} }

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

4 0
3 years ago
A total sales amount of $400,000 that included a 6% sales tax yields actual sales of
d1i1m1o1n [39]

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


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