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Oduvanchick [21]
2 years ago
7

Robin was just hired at Groceries & More as a cashier. She is paid $9 an hour. She works 30 hours a week and is going to sav

e all her money to buy a new computer that costs $1200. The amount of deductions from her weekly paycheck is $27. How many weeks will Robin have to save to buy the new computer?
Mathematics
1 answer:
Tpy6a [65]2 years ago
6 0

Answer:

5 weeks

Step-by-step explanation:

$ 9 an hr for 30 hrs.....(9 * 30) = $270

they deduct $ 27 from her weekly check

so she clears (270 - 27) = $ 243 per week

she wants to get to $ 1200...

1200 / 243 = 4.94 weeks......we are gonna have to round up to 5 weeks because 4 weeks is just a little short.

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M.C. Escher was a famous artist who used unique viewpoints in his drawings that moved beyond flat plane surfaces. In his drawing
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<span>hyperbolic geometry was what he used</span>
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2 years ago
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A really bad carton of eggs contains spoiled eggs. An unsuspecting chef picks eggs at random for his ""Mega-Omelet Surprise."" F
Dima020 [189]

Answer:

(a) The probability that of the 5 eggs selected exactly 5 are unspoiled is 0.0531.

(b) The probability that of the 5 eggs selected 2 or less are unspoiled is 0.3959.

(c) The probability that of the 5 eggs selected more than 1 are unspoiled is 0.8747.

Step-by-step explanation:

The complete question is:

A really bad carton of 18 eggs contains 8 spoiled eggs. An unsuspecting chef picks 5 eggs at random for his “Mega-Omelet Surprise.” Find the probability that the number of unspoiled eggs among the 5 selected is

(a) exactly 5

(b) 2 or fewer

(c) more than 1.

Let <em>X</em> = number of unspoiled eggs in the bad carton of eggs.

Of the 18 eggs in the bad carton of eggs, 8 were spoiled eggs.

The probability of selecting an unspoiled egg is:

P(X)=p=\frac{10}{18}=0.556

A randomly selected egg is unspoiled or not is independent of the others.

It is provided that a chef picks 5 eggs at random.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 5 and <em>p</em> = 0.556.

The success is defined as the selection of an unspoiled egg.

The probability mass function of <em>X</em> is given by:

P(X=x)={5\choose x}(0.556)^{x}(1-0.556)^{5-x};\ x=0,1,2,3...

(a)

Compute the probability that of the 5 eggs selected exactly 5 are unspoiled as follows:

P(X=5)={5\choose 5}(0.556)^{5}(1-0.556)^{5-5}\\=1\times 0.05313\times 1\\=0.0531

Thus, the probability that of the 5 eggs selected exactly 5 are unspoiled is 0.0531.

(b)

Compute the probability that of the 5 eggs selected 2 or less are unspoiled as follows:

P (X ≤ 2) = P (X = 0) + P (X = 1) + P (X = 2)

              =\sum\imits^{2}_{x=0}{{5\choose 5}(0.556)^{5}(1-0.556)^{5-5}}\\=0.0173+0.1080+0.2706\\=0.3959

Thus, the probability that of the 5 eggs selected 2 or less are unspoiled is 0.3959.

(c)

Compute the probability that of the 5 eggs selected more than 1 are unspoiled as follows:

P (X > 1) = 1 - P (X ≤ 1)

              = 1 - P (X = 0) - P (X = 1)

              =1-\sum\limits^{1}_{x=0}{{5\choose 5}(0.556)^{5}(1-0.556)^{5-5}}\\=1-0.0173-0.1080\\=0.8747

Thus, the probability that of the 5 eggs selected more than 1 are unspoiled is 0.8747.

6 0
2 years ago
Tommy has a piece of toast that has butter on one side, and he dropped it twice. Both times, it landed with the butter side up.
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Since probability is the measure of the likelihood that an event will occur.so, maybe 5.
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2 years ago
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Production of passenger cars in Japan increased from 3.94 million in 1999 to 6.74 million in 2009. What is the geometric mean an
vovangra [49]

Let's assume initial population is in 1999

so, production of passenger cars in Japan is 3.94 million in 1999

so, P=3.94 million

and the  production of passenger cars in Japan is 6.74 million in 2009

so, A=6.74 million in t=2009-1999=10 years

now, we can use formula

A=P(1+r)^t

here , r is interest rate

so, we can plug values

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now, we can solve for

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so,

the geometric mean annual percent increase is 5.516%............Answer

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The value of the coefficient of correlation ( r) a. can never be equal to the value of the coefficient of determination (r2). b.
gulaghasi [49]

Answer:

d. can be equal to the value of the coefficient of determination (r2).

True on the special case when r =1 we have that r^2 = 1

Step-by-step explanation:

We need to remember that the correlation coefficient is a measure to analyze the goodness of fit for a model and is given by:

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}  

The determination coefficient is given by R= r^2

Let's analyze one by one the possible options:

a. can never be equal to the value of the coefficient of determination (r2).

False if r = 1 then r^2 = 1

b. is always larger than the value of the coefficient of determination (r2).

False not always if r= 1 we have that r^2 =1 and we don't satisfy the condition

c. is always smaller than the value of the coefficient of determination (r2).

False again if r =1 then we have r^2 = 1 and we don't satisfy the condition

d. can be equal to the value of the coefficient of determination (r2).

True on the special case when r =1 we have that r^2 = 1

7 0
2 years ago
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