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goldenfox [79]
2 years ago
10

As a result of a transfer from one school to another, a boy has to walk one

Mathematics
1 answer:
Softa [21]2 years ago
6 0

Answer:

Let the distance of school and house is x k m

Then time taken at speed 2.5 km\hr=

2.5

x

hr

And time taken at speed 4 km\hr=

4

x

hr

∴

2.5

x

−

4

x

=

60

12

⇒

10

4x−2.5x

=

5

1

⇒x=3 km

Then the distance of school and house is 3 k m

may this help you

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In a test of the effectiveness of garlic for lowering​ cholesterol, 8181 subjects were treated with raw garlic. Cholesterol leve
xz_007 [3.2K]

Answer:

With garlic​ treatment, the mean change in LDL cholesterol is not greater than 0.

Step-by-step explanation:

The dependent <em>t</em>-test (also known as the paired <em>t</em>-test or paired samples <em>t</em>-test) compares the two means associated groups to conclude if there is a statistically significant difference amid these two means.

In this case a paired <em>t</em>-test is used to determine the effectiveness of garlic for lowering​ cholesterol.

A random sample of 81 subjects were treated with raw garlic. Cholesterol levels were measured before and after the treatment.

The hypothesis for the test can be defined as follows:

<em>H₀</em>: With garlic​ treatment, the mean change in LDL cholesterol is not greater than 0, i.e. <em>d</em> ≤ 0.

<em>Hₐ</em>: With garlic​ treatment, the mean change in LDL cholesterol is greater than 0, i.e. <em>d</em> > 0.

The information provided is:

\bar d=0.40\\SD_{d}=16.2\\\alpha =0.01

Compute the test statistic value as follows:

t=\frac{\bar d}{SD_{d}/\sqrt{n}}\\\\=\frac{0.40}{16.2/\sqrt{81}}\\\\=0.22

The test statistic value is 0.22.

Decision rule:

If the <em>p</em>-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

Compute the <em>p</em>-value of the test as follows:

p-value=P(t_{n-1}>0.22)\\=P(t_{80}>0.22)\\=0.4132

*Use a <em>t</em>-table.

The <em>p</em>-value of the test is 0.4132.

<em>p-</em>value= 0.4132 > <em>α</em> = 0.01

The null hypothesis was failed to be rejected.

Thus, it can be concluded that with garlic​ treatment, the mean change in LDL cholesterol is not greater than 0.

3 0
2 years ago
Question in attachment
sdas [7]

Answer:

a₁ = 6

Step-by-step explanation:

The sum to n terms of a geometric sequence is

S_{n} = \frac{a_{1}(r^{n}-1)  }{r-1}

where a₁ is the first term and r the common ratio

Here S_{8} = 1530 and r = 2, thus

\frac{a_{1}(2^{8}-1)  }{2-1} = 1530 , that is

a₁ (256 - 1) = 1530

255a₁ = 1530 ( divide both sides by 255 )

a₁ = 6

8 0
3 years ago
What is the average rate of change of f(x), represented by the table of values, over the interval [-3,4]
77julia77 [94]

Answer:

Average rate of change = 3

Step-by-step explanation:

  • We know that the average rate of change is basically a measure of the slope of the  secant line  in the closed interval [a, b].

here   a = -3 and b = 4

  • f(b) = f(4) = 27
  • f(a) = f(-3) = 6

⇒ Average rate of change = f(b) - f(a)  / b - a

                                            = (27 - 6) / (4 - (-3))

                                            = 21 / 7

                                            = 3

Therefore, Average rate of change = 3

6 0
2 years ago
Explain 12 divided by 15
Keith_Richards [23]
You do --12/15---you see that this can be simplified by the same factor 3-- si you divide by 3 on both numbers thus you get---4/5 as the answer 
4 0
3 years ago
207 students went to Rye Playland, Five buses were filled and 7 students traveled in cars,
belka [17]

Answer:

Step-by-step explanation:

207 - 7 car students

200 went by 5 buses.

200÷5=40

40 students per bus

3 0
2 years ago
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