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rusak2 [61]
1 year ago
8

David's gasoline station offers 21 cents off per gallon if the customer pays in cash and does not use a credit card. Past eviden

ce indicates that 30% of all customers pay in cash. During a one-hour period, 15 customers buy gasoline at this station. What is the probability that at least 10 pay in cash
Mathematics
1 answer:
Hatshy [7]1 year ago
5 0

<u>0.0931</u><u>  is the </u><u>probability </u><u>that at least 10 pay in cash.</u>

What is a probability simple definition?

The ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.

Using binomial distribution with n= 15, and p = 0.40,

P(8<X<12) = P(X=9)+P(X=10) + P(X=11)

                 = 0.0612+0.0245+0.0074

                  = 0.0931

Therefore,0.0931  is the probability that at least 10 pay in cash.

Learn more about probability

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Noah gathered data at his school among 7th and 8th graders to see if there was an association between grade level and handedness
mash [69]

Answer: 4) 157

Step-by-step explanation:

We know that there is no association between the grade level and the andedness, then we should find that the ratio between left handeds and right handed is the same for both grades.

In 7-th grade we have:

Left handed : 11

Right handed: 72

The ratio is 11/72 = 0.14

Then, the ratio for the 8-th graders must be about the same:

Left handed: 24

Right handed: X

Ratio: 24/X

Let's start with the bigger option, X = 157.

24/157 = 0.15

Ok, we now see that with the bigger option we obtained almost the same ratio (if we use the smaller values for X, we will get a ratio bigger than 0.15, so 0.15 is the better aproximation that we can find to the 0.14 of the 7-th graders)

Then the correct option is 4) 157

4 0
3 years ago
one number is four times as large as another if the numbers are added together the result is six less than seven times the small
liubo4ka [24]

Answer:

The numbers are 12 and 3.

Step-by-step explanation:

We can solve this problem by working with the information we have and setting up some equations.

We know that one number is four times as large as another. So, let the smaller number be represented by the variable x and the bigger number be represented by 4x, since it is four times as large.

Now, we know that if the numbers are added together, then the result is six less than seven times the smaller number. This can also be represented by the equation 4x + x = 7x - 6.

Let's solve that equation like so:

4x + x = 7x - 6\\5x =  7x - 6\\-2x = -6\\x = 3

So, the smaller number must be 3 (remember that x represented the smaller number). To find the bigger number, all we need to do is multiply 3 by 4, which gives us 12. Therefore, the numbers are 12 and 3.

4 0
3 years ago
Is 4m equal to 400dm
erica [24]
It is not.

400 decimeters = 4,000 cm

4,000 cm = 40 m
6 0
3 years ago
a box contains 5 plain pencils and 5 pens. a second box contains 7 color pencils and 5 crayons. one item from each box is chosen
Ket [755]
First box: \dfrac{pen}{total}=\dfrac{5}{10}=\dfrac{1}{2}

Second box: \dfrac{crayon}{total}=\dfrac{5}{12}

Multiply them:

\dfrac{1}{2}*\dfrac{5}{12}=\dfrac{5}{24}

The probabilityis \dfrac{5}{24}
5 0
3 years ago
I dont know anything about percents and I need to know right now
Ludmilka [50]
To find a percent, you need to put the numbers into a fraction first. Since the total number of beads is there, that is the denominator (number on the bottom of the fraction). The purple bead number will go on the top. This makes the fraction 8/12. When you divide 12 by 8, you get the decimal 0.66666667. You move the decimal two places over and get ~66%. This makes your answer B. Hope this helps! :)
5 0
3 years ago
Read 2 more answers
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