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Luden [163]
3 years ago
15

Danny brought a car for £10000 the value of the car depreciated by 20% in the first year then the value of the car depreciated b

y 10% in the second year work out the value of Dannys car at the end of two years
Mathematics
1 answer:
Levart [38]3 years ago
6 0

£7200

In first year depreciates by 20%, that is it is worth 80% of it's original value

80% = \frac{80}{100} = 0.8

value after 1 year = 0.8 × £10000 = £8000

In the second year it depreciates by 10% of it's value, that is it is worth 90% of it's value at the end of the first year.

90% = \frac{90}{100} = 0.9

value after 2 years = 0.9 × £8000 = £7200


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Use the box plots comparing the number of boy dogs and number of girl dogs attending doggy daycare each day for a month to answe
satela [25.4K]

The boxplots 1 and 2 represent the distribution of data using a five number summary for the male and the female attendance

<h3>(a) The IQR of the male's data</h3>

The first box plot represents the male's boxplot.

So, we have:

  • Upper quartile (Q3) = 14
  • Lower quartile (Q1) = 2

The IQR is the difference between the above values

IQR = Q3 - Q1

So, we have:

IQR = 14 - 2 = 12

So: the IQR for the males' data is 12

<h3>(b) The difference in the median values</h3>

From the first and second boxplots, we have:

  • Median male = 10
  • Median female = 18

The difference (d) between these values is

d = 18 - 10

d = 8

So: the difference between the median values of each data set is 8

<h3>(c) The distribution of data</h3>

This is dependent on whether the dataset has an outlier or not.

From the figure, we have:

  • Male's data: presence of an outlier - use median
  • Female's data: absence of an outlier - use mean

So: the male dataset is measured by median, while the mean is a better measure of center for the female's data

<h3>(d) Reason for outliers</h3>

A possible reason for outliers is sampling problems

Read more about boxplots at:

brainly.com/question/26392028

#SPJ1

5 0
2 years ago
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A farmer plans to fence a rectangular corral. The diagonal distance from one corner of the corral to the opposite corner is five
garik1379 [7]

Answer:

Length of diagonal is 7.3 yards.

Step-by-step explanation:

Given: The diagonal distance from one corner of the corral to the opposite corner is five yards longer than the width of the corral. The length of the corral is three times the width.

To find: The length of the diagonal of the corral.

Solution: Let the width of the rectangular garden be <em>x</em> yards.

So, the length of the diagonal is x+5

width of the rectangular corral is 3x

We know that the square of the diagonal is sum of the squares of the length and width.

So,

(3x)^{2} +x^{2} =(x+5)^{2}

9x^{2} +x^{2} =x^{2}+10x+25

9x^{2}-10x-25=0

9x^{2}-10x-25=0

x=\frac{-b\pm\sqrt{b^{2} -4ac} }{2a}

x=\frac{10\pm\sqrt{(-10)^{2} -4(9)(-25)} }{2(9)}

x=\frac{10\pm\sqrt{100}}{18}

Since, side can't be negative.

x=\frac{5}{9}+\frac{5}{9}\sqrt{10}

Now, length of the diagonal is

5+\frac{5}{9}+\frac{5}{9}\sqrt{10}

Hence, length of diagonal is 7.3 yards.

4 0
3 years ago
Someone please help! I gave this extra points because the question has a picture. I will give thanks and 5 star for any answer.
tiny-mole [99]

Answer:

53°

Step-by-step explanation:

x + (2x + 21) = 180

(Corresponding angles &

Supplementary angles)

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3x = 159

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7 0
3 years ago
Does taking ginkgo tablets (i.e., and extract from a tree species) twice a day provide significant improvement in mental perform
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Answer:

D. These results do not provide good statistical evidence that taking ginkgo tablets twice a day provides some improvement in mental performance. If 200 tests are being performed at the 5% significance level, some are bound to show statistically significant results, even if the treatment does not have any effect. It is premature to draw statistical conclusions from this study in which the percentage of significant tests is about 5%.

Step-by-step explanation:

It is not right to just made a conclusive argument on a large population by considering the outcome of the analysis made on a sample of the population. In addition, based on the number of tests conducted with about 5% significance level, it is clear that this can not be used to draw the necessary conclusion.

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A bookkeeper has a balance of $83.92. If she collects $76.75
kotegsom [21]

Answer:

The bookkeeper already has a balance of 83.92.  She collects 76.75 so that's 83.92+76.75 which equals to 160.67.  Then she pays out 38.58 so that's a deduction to what she already has.  160.67-38.58=122.09.

SO the bookkeeper has $122.09 left.

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