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viktelen [127]
2 years ago
11

The nicotine content in a single cigarette of a particular brand has a distribution with mean 0.4 mg and standard deviation 0.1

mg. If 100 randomly selected cigarettes of this brand are analyzed, what is the probability that the resulting sample mean nicotine content will be less than 0.38
Mathematics
1 answer:
a_sh-v [17]2 years ago
8 0

Answer:

Step-by-step explanation:

For this case we can define the random variable of interest as: "The nicotine content in a single cigarette " and for this case we know the following parameters:

\mu = 0.4, \sigma = 0.1

And for this case we select a sample size of n =100 and we want to find the following probability:

P(\bar X

And for this case we can use the z score formula given by:

z =\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And replacing we got:

z= \frac{0.38-0.4}{\frac{0.1}{\sqrt{100}}}= -2

And we can find the required probability with the normal standard table and we got:

P(z

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Compute 4.659×104−2.14×104. Round the answer appropriately.
iogann1982 [59]

Answer:

261.98 is the value of the given expression.

Step-by-step explanation:

We have to find the value of the following expression:

4.659\times 104 - 2.14\times 104

Using the associative property, we can write and solve the given expression as:

(4.659 - 2.14)\times 104\\=2.519\times 104\\=261.976

Rounding off the answer, we get,

261.976\approx 261.98

Thus, 261.98 is the value of the given expression.

3 0
3 years ago
Simplify the expression
natka813 [3]

Answer:

its B bro come on

Step-by-step explanation:

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4 0
2 years ago
Elisa had some candy to give to her four children. She first took ten pieces for herself and then evenly divided the rest among
zimovet [89]
She had 18 to start with because when you multiply 4 by 2 it’s 8, so then you add 8 to 10 which is 18.
3 0
3 years ago
I GIVEEEDDE BRAINLILSTTT
Natasha_Volkova [10]

Answer:

\frac{1}{5}

Step-by-step explanation:

To find the scale factor of a dilation, we first find two corresponding sides. For example, the top edge of the black shape corresponds with the top edge of the purple shape. The top edge of the black shape measures 15 units while the top edge of the purple shape measures 3 units

Now, we divide the length taken from the figure by the length taken from the original shape. In this case, we divide the length of 3 by the length of 15.

3/15=\frac{1}{5}

I hope this helps!

5 0
2 years ago
Your bag of rice says to mix 1 cup of rice with 2 cups of water. dela requ prov a. What is the ratio of rice to water? refer to
EastWind [94]

Answer:

(a) 1:2

(b) 6 cups

(c) \dfrac{2}{3}

Step-by-step explanation:

(a) Given,

amount of rice mixture contains= 1 cup

amount of water mixture contains= 2 cups

\textrm{So, the ratio of rice to water}\ =\ \dfrac{\textrm{amount of rice in mixturte}}{\textrm{amount of water in mixture}}

                                                              =\ \dfrac{1}{2}

So, the ratio of rice to water is 1:2.

(b) Amount of rice in mixture = 3 cups

\textrm{So, the ratio of rice to water}\ =\ \dfrac{\textrm{amount of rice in mixturte}}{\textrm{amount of water in mixture}}

                      =>\ \dfrac{1}{2}\ =\ \dfrac{3}{\textrm{amount of water in mixture}}

                       => amount of water in mixture = 3 x 2

                                                                          = 6 cups

(c) \textrm{amount of rice in mixture}\ =\dfrac{1}{3}

 \textrm{So, the ratio of rice to water}\ =\ \dfrac{\textrm{amount of rice in mixturte}}{\textrm{amount of water in mixture}}

   =>\ \dfrac{1}{2}\ =\ \dfrac{\dfrac{1}{3}}{\textrm{amount of water in mixture}}

  =>\textrm{amount of water in mixture}\ =\ \dfrac{2}{3}

So, the amount of water in the mixture will be \dfrac{2}{3} cup.

7 0
3 years ago
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