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mel-nik [20]
2 years ago
5

A $1 lottery ticket offers a grand prize of $18000; 10 runner-up prizes each pay $1800; 100 third-place prizes each pay $180; an

d 1,000 fourth-place prizes each pay $10. To the nearest penny, find the expected value of entering this contest if 1 million tickets are sold.
Mathematics
1 answer:
andre [41]2 years ago
6 0

Answer:

$64 000 add all thNk you hehehe

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A study was recently conducted to estimate the mean cholesterol for adult males over the age of 55 years. From a random sample o
Komok [63]

Answer:  Correct critical value = 2.2622

Step-by-step explanation:

Confidence interval for population mean when population standard deviation is unknown:

\overline{x}\pm t_{\alpha/2}\dfrac{s}{\sqrt{n}} , where \overline{x} = sample mean, n= sample size, s= sample standard deviation, t_{\alpha/2} = two-tailed t value.

As per given: n= 10

degree of freedom : df = n-1=9

\overline{x}=242.6\\\\s=73.33\\\\\alpha=5\%=0.05

Critical t-value : t_{\alpha/2,df}=t_{0.05/2,9}=t_{0.025,9}=2.2622

So, the 95 percent confidence interval estimate for the​ mean :

242.6\pm (2.2622)\dfrac{73.33}{\sqrt{10}}\\\\=242.6\pm (2.2622)(23.19)\\\\\approx242.6\pm52.46\\\\=(242.6-52.46,\ 242.6+52.46)\\\\=(190.14,\ 295.06)

The 95 percent confidence interval estimate for the​ mean:(190.14, 295.06)

8 0
3 years ago
What is the greatest common factor of 3x4, 15x3, and 21x??
luda_lava [24]

Answer:

The GCF of 3x^4, 15x^3 and 21x is 3x^2

Step-by-step explanation:

3x^2(x^2), 3x^2(5x) , 3x^2(7)

4 0
3 years ago
Read 2 more answers
Write as a mixed number 1 23/24
Mnenie [13.5K]
Hi there,

This is simple 1 23/24 as a mixed number is exactly that. It has a whole which is the 1 and then 23/24 parts of another whole, therefore, the mixed number is indeed 1 23/24.


Hope this helps!
3 0
3 years ago
Read 2 more answers
What is the twelfth term in the sequence 13, 26, 39, …?
Gwar [14]

Answer:

  • 156

Step-by-step explanation:

<u>Given the sequence </u>

  • 13, 26, 39, …

<u>We see it is an AP with</u>

  • The first term a = 13
  • Common difference d = 13 ( as 26 - 13 = 39 - 26 = 13)

<u>The 12th term is:</u>

  • a₁₂ = a + 11d = 13 + 11*13 = 156
7 0
2 years ago
Read 2 more answers
Need to find the equation for the line with the given properties. Express your answer using either the general form or the slope
Phoenix [80]

To answer this question we will use the following slope-point formula for the equation of a line:

y-y_1=m(x-x_1)\text{.}

Therefore, the equation of the line that has a slope of 1/3 and passes through the point (-3,3) is:

y-3=\frac{1}{3}(x-(-3))\text{.}

Simplifying the above equation we get:

\begin{gathered} y-3=\frac{1}{3}(x+3), \\ y-3=\frac{1}{3}x+1. \end{gathered}

Adding 3 to the above equation we get:

\begin{gathered} y-3+3=\frac{1}{3}x+1+3, \\ y=\frac{1}{3}x+4. \end{gathered}

Answer:

y=\frac{1}{3}x+4.

4 0
1 year ago
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