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Calculate the semi-interquartile range of 3,4,1,2,3,6,8,5,7,9.

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Kavungya answered the question on November 11, 2019 at 11:24

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State the amplitude and the phase angle of the curve 4y = cos(5x - 40⁰) (Solved)

State the amplitude and the phase angle of the curve 4y = cos(5x - 40⁰)

Date posted: November 8, 2019 . Answers (1)
Solve the quadratic equation by completing the square method. 2x² - 5x = -3 (Solved)

Solve the quadratic equation by completing the square method.
2x² - 5x = -3

Date posted: November 8, 2019 . Answers (1)
In the figure below, AB is a diameter of the circle. Chord PQ intersects AB at N. A tangent to the circle at B and meets... (Solved)

In the figure below, AB is a diameter of the circle. Chord PQ intersects AB at N. A tangent to the
circle at B and meets PQ produced at R.

Given that PN = 14 cm, NB = 4 cm and BR = 7.5 cm, calculate the length of;
a) NR
b) AN

Date posted: November 8, 2019 . Answers (1)
Calculate the exact value of compound interest earned on Sh. 20 000 for 1 and half years at the rate of 12% p.a, compounded half yearly. (Solved)

Calculate the exact value of compound interest earned on Sh. 20 000 for 1 and half years at the rate of 12% p.a, compounded half yearly.

Date posted: November 8, 2019 . Answers (1)
Given that z varies directly as the square of x and inversely as the square root of y. (Solved)

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Date posted: November 8, 2019 . Answers (1)
Solve for x in the equation log (5x - 15) - log(2x - 3) = 1 (Solved)

Solve for x in the equation
log (5x - 15) - log(2x - 3) = 1

Date posted: November 8, 2019 . Answers (1)
The equation of a curve is given by y=x³ + 4x² - 3x. (Solved)

The equation of a curve is given by y=x³ + 4x² - 3x.
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Date posted: November 8, 2019 . Answers (1)
(a) The ratio of Juma’s and Akinyi’s earnings was 5:3. Juma’s earnings rose to Ksh 8 400 after an increase of 12%. Calculate the percentage... (Solved)

(a) The ratio of Juma’s and Akinyi’s earnings was 5:3. Juma’s earnings rose to Ksh 8 400 after an increase of 12%. Calculate the percentage increase in Akinyi’s earnings given that the sum of their earnings was Ksh. 14 100.
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Date posted: November 8, 2019 . Answers (1)
The figure below represent two neighboring plots with QR as their common boundary. Find to 2 decimal places, i. The length of boundary PQ. ii. The length of... (Solved)

The figure below represent two neighboring plots with QR as their common boundary.

Find to 2 decimal places,
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Date posted: November 8, 2019 . Answers (1)
On the grid provided, draw the square whose vertices are A(6, -2), B(7, -2), C(7, -1) and D(6, -1). (Solved)

On the grid provided, draw the square whose vertices are A(6, -2), B(7, -2), C(7, -1) and D(6, -1).

On the same grid, draw:
(i) A’B’C’D’ the image of ABCD, under an enlargement scale factor 3 centre (9, -4)
(ii) A"B”C”D” the image of A’B’C’D’ under a reflection in the line x = 0
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Date posted: November 8, 2019 . Answers (1)
Complete the table below for the function y = 3x² - 2x + 5 (Solved)

a. Complete the table below for the function y = 3x² - 2x + 5

b. Use the completed table and mid ordinate rule to estimate the area bounded by the curve, the x - axis
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Date posted: November 8, 2019 . Answers (1)
A line L₁ passes through the points (-2, 3) and (-1, 6) and is perpendicular to L₂ at (-1, 6). (Solved)

A line L₁ passes through the points (-2, 3) and (-1, 6) and is perpendicular to L₂ at (-1, 6).
a) Find the equation of L₁.
b) Find the equation of L₂ in the form ax + by - c = 0 where a, b and c are constants.
c) Given that another line L₃ is parallel to L₁ and passes through point (1,2) , find the x and y intercepts of L₃ .
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Date posted: November 8, 2019 . Answers (1)
The diagram represents a solid frustum with base radius 21cm and top radius 14cm. The frustum is 22.5cm high and is made of a metal whose... (Solved)

The diagram represents a solid frustum with base radius 21cm and top radius 14cm. The frustum is
22.5cm high and is made of a metal whose density is 3 𝑔⁄𝑐𝑚³. (Take 𝜋 = 22/7)

a) Calculate
(i) The volume of the metal in the frustum.
(ii) The mass of the frustum in kg.
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Date posted: November 8, 2019 . Answers (1)
A number m is such that if its reciprocal is added to three times itself the result is 4. Form an equation in m and... (Solved)

A number m is such that if its reciprocal is added to three times itself the result is 4. Form an equation in m and solve it.

Date posted: November 8, 2019 . Answers (1)
At the end of his stay in Kenya, a French tourist had 3 420 French francs which he decided to change into Euros. Given the exchange... (Solved)

At the end of his stay in Kenya, a French tourist had 3 420 French francs which he decided to change
into Euros. Given the exchange rate was;
1 French franc = Ksh. 11.25
1 Euro = Ksh. 72.50
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Date posted: November 8, 2019 . Answers (1)
Expand and simplify (1 - 4x)⁶ up to the expansion of the term in x³. (Solved)

Expand and simplify (1 - 4x)⁶ up to the expansion of the term in x³.

Date posted: November 8, 2019 . Answers (1)
Solve the equations below using matrix method. x + y = 8 2y - 3x = 1 (Solved)

Solve the equations below using matrix method.
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Date posted: November 8, 2019 . Answers (1)
Find the area of the shaded region in the figure below given that AD = 15 cm, BE = 3 cm, AB = 3 cm, ???????... (Solved)

Find the area of the shaded region in the figure below given that AD = 15 cm, BE = 3 cm, AB = 3 cm,
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Date posted: November 8, 2019 . Answers (1)
A man sets off by bus on a journey of 130 km. after the bus has traveled 119 km at an average speed of 42... (Solved)

A man sets off by bus on a journey of 130 km. after the bus has traveled 119 km at an average speed of 42 𝑘𝑚/ℎ𝑟, it breaks down and he is immediately given a lift by a passing cyclist who takes him to his destination at average speed of 66 km/h.
Calculate;
a) The time taken for the whole journey.
b) His average speed for the whole journey.

Date posted: November 8, 2019 . Answers (1)
The position vectors of A and B are respectively. Find the magnitude of the vector AB. (Solved)

The position vectors of A and B are respectively. Find the magnitude of the vector AB.

Date posted: November 8, 2019 . Answers (1)