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Brrunno [24]
2 years ago
3

A jar contains black beads and green beads. Forty percent of the beads in the jar are green. A number generator simulates random

ly selecting 10 beads from the jar. The number generator is used 12 times and the number of green beads in each trial is shown in the dot plot.
Which description is correct about the number generator being fair or not?



The number generator is fair. The dot plot shows a distribution that is skewed right.


The number generator is fair. It shows that 40% of the beads selected are green most of the time.


The number generator is not fair. The dot plot shows that 4 of 10 beads drawn are often green.


The number generator is not fair. In most of the experiments, considerably less than 40% of the selected are green.
Mathematics
1 answer:
MakcuM [25]2 years ago
8 0

Answer:

The correct option is (D) The number generator is not fair. In most of the experiments, considerably less than 40% of the selected are green.

Step-by-step explanation:

The correct option is (d) The number generator is not fair. In most of the experiments, considerably less than 40% of the selected are green.

Step-by-step explanation:

Solution

In this example,40% of the beads are green, the number generator is not fair. so the option B is ruled out.

Also, the option C is ruled out

Now,

If we Consider the option A, The sum of the total number of green beads in all experiments

Which is,

12*4 = 48. But the total number of green beads is only 12. That's why, even when the graph is skewed, the generator is not fair. So, the option A is also ruled out.

Thus,  

As the number generator is not fair, and in most experiments, less than 4 green beads are selected. the option D is the correct option.

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A silicon chip is 14 nanometers thick. A nanometer is equal to 0.000000001 meter. Express the thickness of the chip using scient
oksano4ka [1.4K]

Answer:

1.4 × 10^-8

Step-by-step explanation:

The chip is 14  nanometers

14 * .000000001

.000000014

Move the decimal 8 places to the right, because we need 1 number in front of the decimal for scientific notation.  The exponent will be -8 because  we moved it 8 places to the right

1.4 × 10^-8

4 0
2 years ago
Read 2 more answers
a sports statistician claim that the mean winning times for boston marathon women's open division champions is at least 2.68 hou
GenaCL600 [577]

Answer:

We conclude that the mean winning times for Boston marathon women's open division champions is at least 2.68 hours.

Step-by-step explanation:

We are given that a sports statistician claim that the mean winning times for Boston marathon women's open division champions is at least 2.68 hours.

The mean winning time of a sample of 30 randomly selected Boston marathon women's open division champions is 2.60 hours. assume the population standard deviation is 0.32 hours.

<em>Let </em>\mu<em> = </em><u><em>mean winning times for Boston marathon women's open division champions.</em></u>

So, Null Hypothesis, H_0 : \mu\geq 2.68 hours      {means that the mean winning times for Boston marathon women's open division champions is at least 2.68 hours}

Alternate Hypothesis, H_A : p < 2.68 hours      {means that the mean winning times for Boston marathon women's open division champions is less than 2.68 hours}

The test statistics that would be used here <u>One-sample z test</u> <u>statistics</u> as we know about the population standard deviation;

                        T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean winning time = 2.60 hours

            \sigma = population standard deviation = 0.32 hours

            n = sample of women's open division champions = 30

So, <em><u>test statistics</u></em>  =   \frac{2.60-2.68}{\frac{0.32}{\sqrt{30} } }

                               =  -1.37

The value of z test statistics is -1.37.

Now, P-value of the test statistics is given by following formula;

         P-value = P(Z < -1.37) = 1 - P(Z \leq 1.37)

                       = 1 - 0.9147 = <u>0.0853</u>

Since, P-value of the test statistics is more than the level of significance as 0.0853 > 0.05, so <u>we have insufficient evidence to reject our null hypothesis</u> as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the mean winning times for Boston marathon women's open division champions is at least 2.68 hours.

6 0
2 years ago
Lance has three times as many pencils as Nick, and they have 84 pencils together. How many pencils does each of them have?
hoa [83]
Is 47 l think !!!!!!!!!!!!!!!!!!!!!
6 0
2 years ago
a box holds nine smaller boxes. each of the smaller boxes holds nine plastic containers. each plastic contai.er holds nine bags.
svp [43]
So, basically ..you just multiply
9*9*9*9
6561
4 0
2 years ago
A semicircular flower bed has a diameter of 3 metres. What is the area of the flower bed?
Yuri [45]

The area of circle is

A_{\text{circle}}=\pi r^2.

Then the area of semicircular region is

A_{\text{semicircular region}}=\dfrac{1}{2} \pi r^2.

If r=3 m, you have

A_{\text{semicircular region}}=\dfrac{1}{2} \pi \cdot 3^2=\dfrac{9\pi}{2}=4.5\pi \approx 14.13 sq. m.

Answer: A_{\text{semicircular region}}=4.5\pi \approx 14.13 sq. m.

3 0
2 years ago
Read 2 more answers
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