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2 years ago

Answer this qn sm1 Also, can others check on my latest 2 qns?

Mathematics

2 answers:

Lemur [1.5K]2 years ago

8 0

Answer:

A person standing on the bank of the river observes that the angle of elevation of the top of a tree standing on the opposite bank is 60

∘

.When he was 40m away from the bank he finds that the angle of elevation to be 30

∘

.Find

(i) the height of the tree.

(ii)the width of the river,correct to 2d.p

lakkis [162]2 years ago

8 0

Answer:

Check the attachment.

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Advertising expenses are a significant component of the cost of goods sold. Listed below is a frequency distribution showing the

Alexxandr [17]

Answer:

Step-by-step explanation:

The table can be computed as:

Advertising Expenses ($ million) Number of companies

25 up to 35 4

35 up to 45 19

45 up to 55 27

55 up to 65 16

65 up to 75 9

TOTAL 75

Let's find the probabilities first:

$P(25 - 35) = P \Big(\dfrac{25-50.93}{10.80}$

For 35 up to 45

$P(35 - 45) = P \Big(\dfrac{35-50.93}{10.80}$

For 45 up to 55

$P(45 - 55) = P \Big(\dfrac{45-50.93}{10.80}$

For 55 up to 65

$P(55 - 65) = P \Big(\dfrac{55-50.93}{10.80}$

For 65 up to 75

$P(65 - 75) = P \Big(\dfrac{65-50.93}{10.80}$

Chi-Square Table can be computed as follows:

Expense No of Probabilities(P) Expe $(O-E)^2$ $\dfrac{(O-E)^2}{E}$

compa cted E (n*p)

nies (O)

25-35 4 0.0612 75*0.0612 = 4.59 0.3481 0.0758

35-45 19 0.2218 75*0.2218 = 16.635 5.5932 0.3362

45-55 27 0.3568 75*0.3568 = 26.76 0.0576 0.021

55-65 16 0.2552 75*0.2552 = 19.14 9.8596 0.5151

65-75 9 0.0839 75*0.0839 = 6.2925 7.331 1.1650

$\sum \dfrac{(O-E)^2}{E}= 2.0492$

Using the Chi-square formula:

$X^2 = \dfrac{(O-E)^2}{E} \\ \\ Chi-square \ X^2 = 2.0942$

Null hypothesis:

$H_o: \text{The population of advertising expenses follows a normal distribution}$

Alternative hypothesis:

$H_a: \text{The population of advertising expenses does not follows a normal distribution}$

Assume that:

$\alpha = 0.02$

degree of freedom:

= n-1

= 5 -1

= 4

Critical value from $X^2 = 11.667$

Decision rule: To reject $H_o \ if \ X^2$ test statistics is greater than $X^2$ tabulated.

Conclusion: Since $X^2 = 2.0942$ is less than critical value 11.667. Then we fail to reject $H_o$

6 0

3 years ago

What is the value of this expression when g=-3.5? 8-12g-51

egoroff_w [7]

Step-by-step explanation:

If g=3.5 what about 12g

12g×3.5=42

8_42_51=_85

8 0

3 years ago

Triangle MAT is isosceles, angle A is the vertex angle, AT = 8x-3, MT = 2x+3 and MA=5x+15. Find the value of x and the indicated

Anvisha [2.4K]

Answer:

x=6, AT=45, MT=15, MA=45

Step-by-step explanation:

Because it is isosceles, MA=AT, so 8x-3=5x+15, solve for x and then plug it into the equations.

3 0

3 years ago

& A bowl made in the shape of a hemisphere has diameter of 12 centimeters. When the bowl is

son4ous [18]

Answer:

Step-by-step explanation:

volume of a hemisphere = (2/3) x (n) x (r^3)

n = 3.14

r = radius = 12/2 = 6

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

(2/3) X (6^3) X 3.14 = 452.16 cm^3

1 cm = 1 gram

452.16g

6 0

3 years ago

Farris earned simple interest on $4120 with an annual interest rate of 3.4% for 9 years. How much did he earn in interest? Round

maria [59]

1260.7 because $4120 x .034 x 9 = 1260.7

5 0

3 years ago

Read 2 more answers