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Elis [28]
2 years ago
7

Jenson has a basket containing oranges, apples, and pears. He picks a piece of fruit from the basket 40 times, replacing the fru

it before each draw. From these 40 trials Jenson estimates that the probability of picking an orange is 0.25, the probability of picking an apple is 0.3, and the probability of picking a pear is 0.45. How many times did Jenson pick an apple during the 40 trials?
Mathematics
2 answers:
Sedbober [7]2 years ago
5 0
<h3>Answer:</h3>

\large\boxed{12\,\text{apples}}

<h3>Step-by-step explanation:</h3>

In this question, we're trying to find how many apples Jenson picked from the basket.

Lets gather information that can help us.

Important information:

  • Picked a fruit from a basket 40 times
  • Probability of picking an apple is 0.3

With the information above, we can solve the question.

We know that he picked up a fruit 40 times, but we need to find how many apples he picked up during the 40 times.

The probability of picking an apple is 0.3, which is equivalent to 30%

This means that 30% of the 40 times he picked an apple.

We would multiply 40 by 0.3 to get our answer.

40*0.3=12

This means that Jenson picked 12 apples.

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>
fenix001 [56]2 years ago
4 0

Answer:    B.12

Step-by-step explanation:

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Ymorist [56]

Answer:

The number further left on a number line is the smaller number. For positive numbers, the number closest to zero is smaller. For negative numbers, the number closest to zero is larger. If a is less than b, and they are both positive, then a is closer to 0 than b. The opposite of a is also closer to zero than the opposite of b, so the opposite of a must be larger than the opposite of b.

Step-by-step explanation:

6 0
2 years ago
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A hollow sphere sits snugly in a foam cube so that the sphere touches each side of the cube. Find the volume of the foam.
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Answer:

                             π

V-foam = 4r³( 2 - ----- )

                             3

Step-by-step explanation:

Let the radius of the sphere be r.  Then the volume of the sphere is

V = (4/3)(π)(r³).  

Next, recognize that the side length of the cube is 2r, and that the volume of the cube is thus

V = (2r)³, or 8r³.

Then the volume of the foam is equal to the volume of the cube less the volume of the sphere:

V-foam = 8r³ - (4/3)(π)(r³).  This could be factored into

                             π

V-foam = 4r³( 2 - ----- )

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5 0
2 years ago
A company receives shipments of a component used in the manufacture of a component for a high-end acoustic speaker system. When
Tanya [424]

Answer:

ME= 2.33*\sqrt{\frac{0.096*(1-0.096)}{250}}= 0.0434

Step-by-step explanation:

For this case we have a sample size of n = 250 units and in this sample they found that 24 units failed one or more of the tests.

We are interested in the proportion of units that fail to meet the company's specifications, and we can estimate this with:

\hat p = \frac{24}{250}= 0.096

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The confidence interval for a proportion is given by this formula  

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}  

For the 98% confidence interval the value of \alpha=1-0.98=0.02 and \alpha/2=0.01, with that value we can find the quantile required for the interval in the normal standard distribution.  

z_{\alpha/2}=2.33  

And the margin of error would be:

ME= 2.33*\sqrt{\frac{0.096*(1-0.096)}{250}}= 0.0434

4 0
2 years ago
The owner of a furniture store decides to reduce the price of a sofa from $800 to $560. By what percentage was the price of the
KIM [24]

The percentage that the store has taken off would be 30%.

5 0
2 years ago
You just measured a sugar cube and obtained the following information: mass = 3.48 g height = length = width = 1.3 cm Determine
nignag [31]

Answer:     Volume of sugar cube=2.20 cm³

Density of sugar cube = 1.60 g/cm³.

The sugar cube will sink.

Step-by-step explanation:

Given : Mass of cube = 3.48 g

Also, dimension of sugar cube :

height = length = width = 1.3 cm

Since , the volume of cube = (side)³

Volume of sugar cube=(1.3) ³= 2.197 ≈ 2.20 cm³

Also, Density = \dfrac{\text{Mass}}{\text{Volume}}

⇒ Density of sugar cube = \dfrac{3.48}{2.2}=1.5818\approx1.60\ g/cm^3

∴ Density of sugar cube = 1.60 g/cm³.

It is known that the density of water is 1 g/cm³.

Here , density of sugar cube >  density of water

⇒ The sugar cube will sink .

5 0
2 years ago
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