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vovangra [49]
1 year ago
11

To increase sales, an online clothing store began giving a 50% off coupon to random customers. Customers didn't know whether the

y would receive the coupon until after the final sale. The website claimed that one in five customers received the coupon. Six customers each made purchases from the website. Let X = the number of customers that received the 50% off coupon.
Mathematics
1 answer:
ludmilkaskok [199]1 year ago
6 0

To increase sales, an online clothing store began giving a 50% off coupon to random customers Six customers each made purchases from the website the binomial random variable and  mean and standard deviation of X  is mathematically given as

X ~ Bin(n = 6, p = 0.2)

x= 0.9798

<h3>What is a binomial random variable?</h3>

Generally, the equation for is mathematically given as

P(coupon) = 1/5

P(coupon)= 0.2

the binomial distribution

X ~ Bin(n = 6, p = 0.2)

Therefore, The mean and standard deviation of X

пВ = np \\np= 6* 0.2 = 1.2\\

x=\sqrt{ np(1 - p)} \\ x=\sqrt{ 6 * 0.2 + (1 -0.2)} \\

x= 0.9798

In conclusion, mean and standard deviation of X

x= 0.9798

Read more about binomial

brainly.com/question/3560614

#SPJ1

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(14.14) larry reads that 1 out of 6 eggs contains salmonella bacteria. so he never uses more than 5 eggs in cooking. if eggs do
melomori [17]

we know that

The probability that "at least one" is the probability of exactly one, exactly 2, exactly 3, 4 and 5 contain salmonella.

The easiest way to solve this is to recognise that "at least one" is ALL 100% of the possibilities EXCEPT that none have salmonella.

If the probability that any one egg has 1/6 chance of salmonella

then

the probability that any one egg will not have salmonella = 5/6.

Therefore

for all 5 to not have salmonella


= (5/6)^5 = 3125 / 7776

= 0.401877 = 0.40 to 2 decimal places


REMEMBER this is the probability that NONE have salmonella


Therefore

the probability that at least one does = 1 - 0.40

= 0.60


the answer is

0.60 or 60%

6 0
3 years ago
You want to get a Dodgers shirt for Opening Day. The shirt you want is $36. Luckily, it is marked 25% off. You will have to pay
OlgaM077 [116]

Answer:

Part A

= $9

Part B

= $3.24

Part C

= $30.24

Step-by-step explanation:

Part A

= 36÷100x25

= $9

Part B

=36÷100x9

=$3.24

Part C

=36-9

=27

Then

=27+3.25

= $30.24

6 0
2 years ago
Butyric acid ( c3h7cooh) is a weak acid . what is the ph of a 0.0250 m solution of this acid. ka = 1.5 x 10-5 (2 decimal places)
Wewaii [24]

The pH of the weak acid is 3.21

Butyric acid is known as a weak acid, we need the concentration of [H+] formula of weak acid which is given by this equation :

[H^{+}]=\sqrt{Ka . Ma}

where [H+] is the concentration of ion H+, Ka is the weak acid ionization constant, and Ma is the acid concentration.

Since we know the concentration of H+, the pH can be calculated by using

pH = -log[H+]

From question above, we know that :

Ma = 0.0250M

Ka = 1.5 x 10¯⁵

By using the equation, we can determine the concentration of [H+]

[H+] = √(Ka . Ma)

[H+] = √(1.5 x 10¯⁵ . 0.0250)

[H+] = 6.12 x 10¯⁴ M

Substituting the value of [H+] to get the pH

pH = -log[H+]

pH = -log(6.12 x 10¯⁴)

pH = 3.21

Hence, the pH of the weak acid c3h7cooh is 3.21

Find more on pH at: brainly.com/question/14466719

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8 0
1 year ago
PLS PLS ASAP<br> Find the value of x.
Arlecino [84]

Answer:

x = 10 units

Step-by-step explanation:

16 is to 40     as  x+2  is  to  3x

16/40 = (x+2) / 3x

48x = 40x + 80

8x = 80

x = 10

3 0
2 years ago
Is 3/8bigger than 4/10
mojhsa [17]
The way to work this out is to find a common denominator. so in this case 80 is a common denominator. So it would be 3/8 into 30/80 and then 4/10 into 32/80 therefore 4/10 is bigger
7 0
3 years ago
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