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AnnyKZ [126]
2 years ago
13

The payout from a winning lottery varies inversely as the number of winners. If Alexis and her 7 co-workers each receive a $4.65

million payout, what would the payout check have been if it was just alexis and her two favorite co-workers?
$12.4 million
$16.275 million
$13.95 million
$111.6 million
Mathematics
1 answer:
Masteriza [31]2 years ago
3 0

Answer:

A) 12.4 million

Step-by-step explanation:

First you times the payment given out by the number of winners:

4.65 x 8 (don’t forget to count Alexis) = 37.2

Then, you’re left with the amount money won in total. You then divide that by the three people.

37.2/ 3 = 12.4

$12.4 million

You might be interested in
Average Inventory The Yasuko Okada Fragrance Company (YOFC) receives a shipment of 400 cases of specialty perfume early Monday m
Ksenya-84 [330]

Answer:

Step-by-step explanation:

At the end of any given business day, CFFC has 400-80t cases of perfume on hand, where t = 1 represents Monday, t = 2 represents Tuesday and so on. The inventory becomes nil on Friday evening. So,

The values of a and b are

a = 0

b = 5

Using the formular for average value, we have the average value as

\frac{1}{5-0}\int\limits^5_0 {(400-80t)}dt\\\\=\frac{1}{5}(400t-\frac{80t^2}{2})\limits^5_0\\\\=\frac{1}{5}(400t-40t^2)\limits^5_0\\\\=\frac{1}{5}(2000-1000)\\\\=200

Average inventory is 200 cases

8 0
3 years ago
Solve for x my homies and whoever answers it i just wanna say thank you my dude.
lara [203]
The answer is A) x=-1
4 0
2 years ago
What is the vertex of the graph of y = 1/3 (x-9)2 + 5 Question 1 options: (9,5) (3,3) (3,5) (-9,5)
svlad2 [7]
ANSWER

The vertex of the graph of
y =  \frac{1}{3}  {(x - 9)}^{2}  + 5
is

(9,5)



EXPLANATION

The vertex form of a parabola is given by

y = a {(x - h)}^{2}  + k

where
V(h,k)
is the vertex of the parabola.


The function given to us is

y =  \frac{1}{3}  {(x - 9)}^{2}  + 5
This is already in the vertex form.


When we compare this to the general vertex form, we have,

a =  \frac{1}{3}

h = 9
and

k = 5


Therefore the vertex of the parabola is

V(9,5)

Hence the correct answer is option A.

7 0
3 years ago
Read 2 more answers
What is the particular products of 1262 x 3
Lapatulllka [165]

Answer:

3786

i think

sry for wrong answer

5 0
3 years ago
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 450 gram setting. It
Arturiano [62]

Answer:

Test statistic = -2.25

P-value = 0.0199

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 450 gram

Sample mean, \bar{x} = 441 grams

Sample size, n = 16

Alpha, α = 0.05

Sample variance = 256

\sigma^2 = 256\\\sigma = \sqrt{256} = 16

First, we design the null and the alternate hypothesis

H_{0}: \mu = 450\text{ grams}\\H_A: \mu < 450\text{ grams}

We use one-tailed t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{441 - 450}{\frac{16}{\sqrt{16}} } = -2.25

Now,

Degree of freedom =

=n-1 = 16-1=15

We can calculate the p-value from the table as:

P-value = 0.0199

Conclusion:

Since the p-value is smaller than the significance level we fail to accept the null hypothesis and reject it.

Thus, there is enough evidence to support the claim that the machine is under filling the bags .            

5 0
3 years ago
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