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jeka57 [31]
3 years ago
8

... the product of the width and the height...

Mathematics
1 answer:
irga5000 [103]3 years ago
7 0

Step-by-step explanation:

The product of <em>a</em> and <em>b</em> is equal to <em>a · b.</em>

Let <em>w - width</em> and <em>l - length</em>, then the product of the width and the lenght is

<em>w · h = wh</em>

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John runs a computer software store. Yesterday he counted 123 people who walked by the store, 56 of whom came into the store. Of
vaieri [72.5K]

Answer:

a) There is a 45.53% probability that a person who walks by the store will enter the store.

b) There is a 41.07% probability that a person who walks into the store will buy something.

c) There is a 18.70% probability that a person who walks by the store will come in and buy something.

d) There is a 58.93% probability that a person who comes into the store will buy nothing.

Step-by-step explanation:

This a probability problem.

The probability formula is given by:

P = \frac{D}{T}

In which P is the probability, D is the number of desired outcomes and T is the number of total outcomes.

The problem states that:

123 people walked by the store.

56 people came into the store.

23 bought something in the store.

(a) Estimate the probability that a person who walks by the store will enter the store.

123 people walked by the store and 56 entered the store, so T = 123, D = 56.

So

P = \frac{D}{T} = \frac{56}{123} = 0.4553

There is a 45.53% probability that a person who walks by the store will enter the store.

(b) Estimate the probability that a person who walks into the store will buy something.

56 people came into the store and 23 bought something, so T = 56, D = 23.

So

P = \frac{D}{T} = \frac{23}{56} = 0.4107

There is a 41.07% probability that a person who walks into the store will buy something.

(c) Estimate the probability that a person who walks by the store will come in and buy something.

123 people walked by the store and 23 came in and bought something, so T = 123, D = 23.

So

P = \frac{D}{T} = \frac{23}{123} = 0.1870

There is a 18.70% probability that a person who walks by the store will come in and buy something.

(d) Estimate the probability that a person who comes into the store will buy nothing.

Of the 56 people whom came into the store, 23 bought something. This means that 56-23 = 33 of them did not buy anything. So:

D = 33, T = 56

P = \frac{D}{T} = \frac{33}{56} = 0.5893

There is a 58.93% probability that a person who comes into the store will buy nothing.

8 0
3 years ago
Solve for x I need help on questions 5 &amp; 6
Effectus [21]

Answer:

#5 x=8, #6 x=5

Step-by-step explanation:

Theyre vertical so for number 5 you would have the equation

5x+15=55

    -15   -15 from both sides

5x=40

divide by 5 from both sides and you get

x=8

Same thing vertical so you would have  

16x+7=87

    -7    -7 from both sides

16x=80

divide by 16 from both sides

x=5

3 0
3 years ago
What is the true solution to the equation below? In e^in x + in e^in x^2 = 2 in 8
mariarad [96]
To solve the given equation, w need to review some rules:
(1) \ ln \ e = 1 \\ &#10;(2) \ ln \  b^{a} = a*ln \ b \\&#10;(3) \ ln \ a + ln \ b = ln \ (ab) \\&#10;(4) \ ln \ a - ln \ b = ln \  \frac{a}{b}  \\

The given equation is :
ln \  e^{ln \ x} + ln \  e^{ln \  x^{2}} = 2 \ ln \ 8
ln \ x * ln \ e + ln \  x^{2} * ln \ e = 2 \ ln \ 8  ⇒⇒⇒⇒ rule (2)
ln \ x + ln \  x^{2} = ln \  8^{2}  ⇒⇒⇒⇒ rule (1) and rule (2)

ln \ ( x*  x^{2} ) = ln \ 64          ⇒⇒⇒⇒ rule (3)
removing the nature logarithm from both sides

x^{3} = 64 =  4^{3}
∴ x = 4


So, the correct answer is option (2) ⇒⇒⇒⇒ x = 4


5 0
3 years ago
Read 2 more answers
The odometer in your mother’s car reads 3440 miles less than the odometer in your uncle’s car. Your mother’s odometer reads 2958
Serhud [2]
29580 + 3440 = 33020. The is about 33,000mi. The answer is d.
6 0
3 years ago
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Laura pays $36.04 for a ticket to a show. The amount includes a 6% tax.
Len [333]
The answer is C. $34.00
6 0
2 years ago
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