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3 years ago

Can somebody help me with this one?

Mathematics

1 answer:

Vlad [161]3 years ago

5 0

S = sale price (in dollars)
p = sticker price (in dollars)
Note: the sticker price is what the customer pays after the discount
Another note: This is ignoring any taxes or other fees

We're told that the sale price is the result of taking 10% off the sticker price. This means...

sale price = (sticker price) - (10% of sticker price)
s = p - 0.10*p
s = 1*p - 0.10*p
s = (1 - 0.10)*p
s = (0.90)*p
s = 0.90*p

So the expression for the sale price is 0.90*p where p is the sticker price in dollars.

Note: this means that the sale price is 90% of the sticker price.

----------------------------------------

Now plug in the sticker price p = 80 to find the sale price s
s = 0.90*p
s = 0.90*80
s = 72

The sale price is $72 which is what the customer will pay (if we ignore any taxes or other fees).

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PLEASE HELP! The table shows the number of championships won by the baseball and softball leagues of three youth baseball divisi

Irina18 [472]

Answer:

Question 1: $P ( B | Y ) = \frac{ P ( B and Y)}{ P (Y)} = \frac{ \frac{2}{16}}{ \frac{4}{16}} = \frac{1}{2}$

Question 2:

A. $P ( Y | B ) = \frac{ P(Y and B) }{ P(B) } = \frac{ \frac{2}{16} }{ \frac{6}{16} } = \frac{1}{3}$

B. $P( Z | B ) = \frac{ P ( Z and B)}{ P (B)}= \frac{ \frac{1}{16} }{ \frac{6}{16} } = \frac{1}{6}$

C. $P((Y or Z)|B) = \frac{ P ((Y or Z) and B)}{P(B)}= \frac{ \frac{3}{16}}{ \frac{6}{16}}= \frac{1}{2}$

Step-by-step explanation:

Conditional probability is defined by

$P(A|B)= \frac{P(A and B)}{P(B)}$

with P(A and B) beeing the probability of both events occurring simultaneously.

Question 1:

B: Baseball League Championships won, beeing

$P ( B ) = \frac{ 6 }{16}$

Y: Championships won by the 10 - 12 years old, beeing

$P ( Y)= \frac{ 4 }{ 16 }$

then

P( B and Y)= \frac{ 2 }{ 16 }[/tex]

By definition,

$P ( B | Y ) = \frac{ P ( B and Y)}{ P (Y)} = \frac{ \frac{2}{16} }{ \frac{4}{16} } = \frac{1}{2}$

Question 2.A:

Y: Championships won by the 10 - 12 years old, beeing

$P ( Y)= \frac{ 4 }{ 16 }$

B: Baseball League Championships won, beeing

$P ( B ) = \frac{ 6 }{16}$

then

P( B and Y)= \frac{ 2 }{ 16 }[/tex]

By definition,

$P ( Y | B ) = \frac{ P(Y and B) }{ P(B) } = \frac{ \frac{2}{16} }{ \frac{6}{16} } = \frac{1}{3}$

Question 2.B:

Z: Championships won by the 13 - 15 years old, beeing

$P ( Z)= \frac{ 1 }{ 16 }$

B: Baseball League Championships won, beeing

$P ( B ) = \frac{ 6 }{16}$

then

P( Z and B)= \frac{ 1 }{ 16 }[/tex]

By definition,

$P( Z | B ) = \frac{ P ( Z and B)}{ P (B)}= \frac{ \frac{1}{16} }{ \frac{6}{16} } = \frac{1}{6}$

Question 3.B

Y: Championships won by the 10 - 12 years old, beeing

$P ( Y)= \frac{ 4 }{ 16 }$

Z: Championships won by the 13 - 15 years old, beeing

$P ( Z)= \frac{ 1 }{ 16 }$

then

$P (Y or Z) = P(Y) + P(Z) = \frac{6}{16}$

B: Baseball League Championships won, beeing

$P ( B ) = \frac{ 6 }{16}$

$P((YorZ) and B)= \frac{3}{16}$

By definition,

$P((Y or Z)|B) = \frac{ P ((Y or Z) and B)}{P(B)}= \frac{ \frac{3}{16}}{ \frac{6}{16}}= \frac{1}{2}$

3 0

3 years ago

Which of the following describes the data set? 6,7,11,14,20,30,35

ss7ja [257]

Answer:

The numbers are already in order so you don't need to do anything

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2 years ago

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I need help on this please

Genrish500 [490]

Answer:

ok ill private message it to you wink

Step-by-step explanation:

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3 years ago

Is the expression 2x-2 equivalent to the expression 2 (x-2)?Explain.

Lady bird [3.3K]

Using the distributiver property which is
a(b+c)=ab+ac therefor
2(x-2)=2(x)+(2)(-2)
multiply
2x+-4
2x-4
2x-4=2x-2?
false

the answer is no

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3 years ago

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In 1990, a magazine collected data and published an article evaluating freezers. It listed 45 models, giving the brand, cost (do

Anna71 [15]

Complete question is;

In 1990, a magazine collected data and published an article evaluating dryers. It listed 45 models, giving the brand, cost (dollars), size (cu ft), type, estimated annual energy cost (dollars), an overall rating (good, excellent, etc.), and repair history for that brand (percentage requiring repairs over the past 5 years).

The W's are Who, What, When, Where, Why, and hoW.

1) Identify the Who. Choose the correct answer below.

A. 45 models of dryers

B. Dryers

C. Brands of dryers

D. Size of dryers dryers

2) Identify the What. Choose the correct answer below.

A. Brand, type, overall rating

B. Brand, cost, size, type, estimated annual energy cost, overall rating, repair history

C. Cost, size, estimated annual energy cost, repair history

D. Brand, cost, size, type

3) Identify the When. Select the correct choice below and, if necessary, fill in any answer boxes within your choice.

A. The data were recorded in 1990.

B. The information is not provided.

4) Identify the Where. Choose the correct answer below.

A. The 45 models of dryers

B. The information is not provided.

C. The population of dryers

5) Identify the Why. Choose the correct answer below.

A. To provide information to the magazine's readers

B. To write an article about dryers

C. To compare the size of the dryers

D. To collect information about dryers

6) Identify the hoW. Choose the correct answer below.

A. The different dryers belonged to the magazine's employees.

B. The dryers were chosen at random.

C. The information is not provided.

7) Identify each variable as either categorical or quantitative.

Brand

▼

Categorical

Quantitative

Estimated annual energy cost

▼

Quantitative

Categorical

Cost

▼

Categorical

Quantitative

Overall rating

▼

Categorical

Quantitative

Size

▼

Quantitative

Categorical

Repair history

▼

Quantitative

Categorical

Type

▼

Categorical

Quantitative

8) For each quantitative variable, determine the units in which it was measured.

Cost

▼

Dollars

Not specified

Pounds

Estimated annual energy cost

▼

Dollars

Pounds

Not specified

Size

▼

Cubic inches

Cubic feet

Feet

Inches

Not specified

Repair history

▼

Years

Percentages

Not Specified

Answer:

All answered below.

Step-by-step explanation:

1) Option A: 45 models of dryers

2) Option B: Brand, cost, size, type, estimated annual energy cost, overall rating, repair history

3) Option A: The data were recorded in 1990.

4) Option B: The information is not provided.

5) Option A: To provide information to the magazine's readers

6) Option C. The information is not provided.

7) - Brand variable is Categorical

- Estimated annual energy cost variable is Quantitative

- Cost variable is Quantitative

- Overall rating variable is Categorical

- Size variable is Quantitative

- Repair history variable is Quantitative

- Type variable is Categorical

8) - cost is in dollars)

- estimated annual energy cost is in dollars

- size is in cu. ft

- repair history is in percentages

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