User`s guide

ManualsBrandsCasio ManualsCalculatorfx-95

Manufacturer:

CASIO COMPUTER CO., LTD.

6-2, Hon-machi 1-chome

Shibuya-ku, Tokyo 151-8543, Japan

Responsible within the European Union:

CASIO EUROPE GmbH

Casio-Platz 1

22848 Norderstedt, Germany

This mark applies in EU countries only.

To convert rectangular coordinates (

) to polar

coordinates v

r9 2 ,9 2 )=

r = 2.

~t(F)  = 45.

• Press ~c(E) to display the value of r, or ~t(F) to

display the value of .

To convert polar coordinates (

, 45°) to rectangular

coordinates v

!r(Rec( )9 2 , 45 =

x = 1.

~t(F) y = 1.

• Press ~c(E) to display the value of x, or ~t(F) to

display the value of

(5 + 3) ! = 40320 ( 5 + 3 )1E(

x!)= 40320.

To obtain two random three-digit integers

1000 1.(Ran#) = 459.

= 48.

(Actual results will differ.)

To determine the number of permutations and combinations

possible when selecting four people from a group of 10

Permutations: 10 1{( n P r ) 4 = 5040.

Combinations: 10 {4 = 210.

To perform the following calculations when Fix 3 is selected

for the number of display digits: 10 ÷ 3 × 3 and Rnd(10 ÷ 3)

× 3

N 1(Fix) 3 10 / 3 * 3 = 10.000

10 / 3 =10(Rnd) * 3 = 9.999

15. Statistical Calculations (SD, REG)

To select this type of statistical calculation:

(Regression formula shown in parentheses)

Perform this

key operation:

Single-variable (X)

,2(SD)

Paired-variable (X, Y), linear regression

(

y = A + Bx)

,3(REG)

1(Lin)

Paired-variable (X, Y), logarithmic regression

(

y = A + Blnx)

,3(REG)

2(Log)

Paired-variable (X, Y),

e exponential

regression (

y = Ae

)

,3(REG)

3(Exp)

Paired-variable (X, Y), power regression

(

y = Ax

)

,3(REG)

e1(Pwr)

Paired-variable (X, Y), inverse regression

(

y = A + B/x)

,3(REG)

e2(Inv)

Paired-variable (X, Y), quadratic regression

(

y = A + Bx + Cx

)

,3(REG)

e3(Quad)

Inputting Data

• In the SD Mode and REG Mode, the l key operates as the 7

key.

• Always start data input with !,(CLR) b(Scl) = to clear

statistical memory.

• Input data using the key sequence shown below.

SD Mode: <

x -data> 7

REG Mode: <

x -data> , < y -data> 7

• 77 inputs the same data twice.

• You can also input multiple entries of the same data using

!,(;).

Data Input Precautions

• While inputting data or after inputting data is complete, you can use

the f and c keys to scroll through data you have input. If you

input multiple entries of the same data using !,(;) to specify

the data frequency (number of data items) as described above,

scrolling through data shows both the data item and a separate

screen for the data frequency (Freq).

• Input the new value and then press the = key to replace the old

value with the new one. This also means that if you want to perform

some other operation, you should always press the A key first to

exit data display.

• Pressing the 7 key instead of = after changing a value on the

display registers the value you input as a new data item, and leaves

the old value as it is.

• You can delete a data value displayed using f and c by pressing

!l(CL). Deleting a data value causes all values following it to

be shifted up.

• The message “Data Full” appears and you will not be able to input

any more data if there is no memory left for data storage. If this

happens, press the = key to display the screen shown below.

Press c to exit data input without registering

the value you just input.

Press b if you want to register the value

you just input. If you do this, however, you will not be able to display

or edit any of the data you have input.

• After inputting statistical data in the SD Mode or REG Mode, you

will be unable to display or edit individual data items any longer

after perform either the following operations: changing to another

mode; changing the regression type.

1010

1111

1212

• Entering the REG Mode and selecting a regression type (Lin, Log,

Exp, Pwr, Inv, Quad) clear variables A through F, X, and Y.

• Do not use variables A through F, X, or Y to store data when

performing statistical calculations.

Obtaining Statistical Values from Input Data

Supported statistical variables and the keys you should press to recall

them are shown below. For single-variable statistical calculations, the

variables marked with an asterisk (*) are available.

Sum: Σ

*, Σ x *, Σ y

, Σ y , Σ xy , Σ x

, Σ x

y , Σ x

, Number of Items: n *

, Σ x , n ........... !b(S-SUM) b to d

, Σ y , Σ xy ........ !b(S-SUM) e b to d

, Σ x

y , Σ x

..... !b(S-SUM) ee b to d (Quadratic

Regression only)

Mean: o*, p, Population Standard Deviation: σ

*, σ

, Sample

Standard Deviation: s

*, s

o, σ

, s

.............. !c(S-VAR) b to d

p, σ

, s

............... !c(S-VAR)e b to d

Regression Coefficients: A, B, Correlation Coefficient: r

Regression Coefficients for Quadratic Regression: A, B, C

!c(S-VAR)ee b to d

Estimated Values: m, n

Estimated Values for Quadratic Regression: m

, m

, n

!c(S-VAR) eee b to c (or d)

•

m, m

, m

and n are not variables. They are commands of the type

that take an argument immediately before them. See “Calculating

Estimated Values” for more information.

To calculate the mean (o) and population standard

deviation (σ

) for the following data: 55, 54, 51, 55, 53, 53,

54, 52

,c(SD)

55 7 54 7 51 7 55 7 53 77 54 7 52 7

!c(S-VAR)b(o)=

53.375

!c(S-VAR)c(σ

)= 1.316956719

To calculate the linear regression and logarithmic

regression correlation coefficients ( r ) for the following

paired-variable data and determine the regression formula

for the strongest correlation: ( x , y ) = (20, 3150), (110, 7310),

(200, 8800), (290, 9310). Specify Fix 3 (three decimal

places) for results.

,3(REG) 1(Lin) ,

1(Fix) 3

20, 3150 7 110 , 7310 7

200 , 8800 7 290 , 9310 7

!2(S-VAR) ee3(r) =

0.923

,3(REG) 2(Log)

20 , 3150 7 110 , 7310 7

200 , 8800 7 290 , 9310 7

!2(S-VAR) ee3(r) =

0.998

!2(S-VAR) ee1(A) = −3857.984

!2(S-VAR) ee2(B) = 2357.532

Logarithmic Regression Formula:

y = –3857.984 + 2357.532lnx

Calculating Estimated Values

Based on the regression formula obtained by paired-variable

statistical calculation, the estimated value of

y can be calculated for

a given

x -value. The corresponding x -value (two values, x

and x

, in

the case of quadratic regression) also can be calculated for a value

y in the regression formula.

To determine the estimate value for x when y = –130 in the

regression formula produced by logarithmic regression of

the data in

. Specify Fix 3 for the result. (Perform the

following operation after completing the operations in

(- 130 )12(S-VAR)eee1(m)=

4.861

Important: Regression coefficient, correlation coefficient, and

estimated value calculations can take considerable time when there

are a large number of data items.

16. Equation Calculations (EQN)

The EQN Mode lets you solve equations up to three degrees and

simultaneous linear equations with up to three unknowns.

1. Press NN1(EQN) to enter the EQN Mode.

2. On the menu that appears, select an equation type.

nkno

ns?

2 3

eg r ee?

2 3

To select this calculation type: Press this key:

Simultaneous linear equations with two

unknowns (a

x + b

y = c

)

Simultaneous linear equations with three

unknowns (a

x + b

y + c

z = d

)

Quadratic equation (ax

+ bx + c = 0)

Cubic equation (ax

+ bx

+ cx + d = 0)

3. Use the Coefficient Editor that appears to input coefficient values.

• To solve 2

+ x – 3 = 0, for example, press e2 in step 2, and

then input the following for the coefficients (

a = 2, b = 1, c = –3):

2 =1=- 3.

• Any time until you input a value for the final coefficient (c for a

quadratic equation,

d for a cubic equation), you can use the f

and c keys to move between coefficients on the screen and

make changes, if you want.

• Note that you cannot input complex numbers for coefficients.

Important: The following operations are not supported by the

Coefficient Editor: m, 1m(M–), 1t(STO). Pol, Rec, and

multi-statements also cannot be input with the Coefficient Editor.

4. After all the values are the way you want, press =.

• This will display a solution. Each press of = will display another

solution. Pressing = while the final solution is displayed will

return to the Coefficient Editor.

• You can scroll between the solutions using the c and f

keys.

• To return to the Coefficient Editor while any solution is displayed,

press A.

Note: Values cannot be converted to engineering notation on the

solution screen.

Changing the Current Equation Type Setting

Press NN1(EQN) and then select an equation type from the

menu that appears. Changing the equation type causes the values

of all Coefficient Editor coefficients to change to zero.

EQN Mode Calculation Examples

x – y + z = 2, x + y – z = 0, –x + y + z = 4

NN1(EQN)3

1 =- 1 = 1 = 2 =

1 = 1 =- 1 =0 =

- 1 = 1 = 1 = 4

Arrow indicates direction you should

scroll to view other elements.

Coefficient name

Element value

= (x=) 1

c (y=) 2

c (z=) 3

− 4x + 5 = 0 (x = 0.25 ± 0.75i)

NN1(EQN)e2

8 =- 4 = 5 =

(x1=) 0.25

!=(Re⇔Im) (x1=) 0.75i

c (x2=) 0.25

!=(Re⇔Im) (x2=) −0.75i

• If a result is a complex number, the real part of the first solution

appears first. Press !=(Re⇔Im) to toggle the display between

the real part and imaginary part of a solution.

– 2x

– x + 2 = 0

NN1(EQN)e3

1 =- 2 =- 1 = 2 =

(x1=) 2

c (x2=) –1

c (x3=) 1

17. Calculation Ranges, Number of

Digits, and Precision

Calculation Range and Precision

Calculation Range: ±1 × 10

–99

to ±9.999999999 × 10

or 0

Number of Digits for Internal Calculation: 15 digits

Precision: In general, ±1 at the 10th digit for a single calculation.

Precision for exponential display is ±1 at the least significant digit.

Errors are cumulative in the case of consecutive calculations.

Function Calculation Input Ranges and Precision

Functions

Input Range

sin

cosx

DEG

0  |

x|  9 × 10

RAD

0  |

x|  157079632.7

GRA

0  |x|  1 × 10

tanx

DEG

Same as sin

x, except when 앚x앚 = (2n−1) ҂ 90.

RAD

Same as sin

x, except when 앚x앚 = (2n−1) ҂ π/2.

GRA

Same as sin

x, except when 앚x앚 = (2n−1) ҂ 100.

sin

–1

0  앚x앚  1

cos

–1

tan

–1

x 0  앚x앚  9.999999999 ҂ 10

sinhx

0  앚x앚  230.2585092

cosh

sinh

–1

x 0  앚x앚  4.999999999 ҂ 10

cosh

–1

x 1  x  4.999999999 ҂ 10

tanhx 0  앚x앚  9.999999999 ҂ 10

tanh

–1

x 0  앚x앚  9.999999999 ҂ 10

–1

logx/lnx 0 쏝 x  9.999999999 ҂ 10

–9.999999999 ҂ 10

 x  99.99999999

–9.999999999 ҂ 10

 x  230.2585092

0  x 쏝 1 ҂ 10

100

앚x앚 쏝 1 ҂ 10

–1

앚x앚 쏝 1 ҂ 10

100

; x G 0

앚x앚 쏝 1 ҂ 10

100

x!0  x  69 (x is an integer)

nPr

0 

n 쏝 1 ҂ 10

, 0  r  n (n, r are integers)

1  {n!/(n–r)!} 쏝 1 ҂ 10

100

nCr

0 

n 쏝 1 ҂ 10

, 0  r  n (n, r are integers)

1  n!/r! 쏝 1 ҂ 10

100

or 1  n!/(n–r)! 쏝 1 ҂ 10

100

Pol(x, y)

앚x앚, 앚y앚  9.999999999 ҂ 10

 9.999999999 ҂ 10

Rec(r, )

0  r  9.999999999 ҂ 10

: Same as sinx

°’ ”

앚a앚, b, c 쏝 1 ҂ 10

100

; 0  b, c

The display seconds value is subject to an error of ±1

at the second decimal place.

앚x앚 쏝 1 ҂ 10

100

Decimal ↔ Sexagesimal Conversions

0°0°0°  앚x앚  9999999°59°

^(x

)

x 쏜 0: –1 ҂ 10

100

쏝 ylogx 쏝 100

x = 0: y 쏜 0

x 쏝 0: y = n,

(n is an integer)

However: –1

҂ 10

100

쏝 ylog앚x앚 쏝 100

쏜 0: x G 0, –1 ҂ 10

100

쏝 1/x logy 쏝 100

y = 0: x 쏜 0

y 쏝 0: x = 2n+1,

(n G 0; n is an integer)

However: –1

҂ 10

100

쏝 1/x log앚y앚 쏝 100

Total of integer, numerator, and denominator must be

10 digits or less (including division marks).

(REG)

앚x앚 쏝 1 ҂ 10

; 앚y앚 쏝 1 ҂ 10

; 앚n앚 쏝 1 ҂ 10

100

, σ

, o, p : n G 0

, s

, A, B, r : n G 0, 1

• Precision is basically the same as that described under “Calculation

Range and Precision”, above.

• Calculations that use any of the functions or settings shown below

require consecutive internal calculations to be performed, which can

cause accumulation of error that occurs with each calculation.

', x!, nPr, nCr; °,

(angle unit: radians); σ

, s

regression coefficient.

• Error is cumulative and tends to be large in the vicinity of a function’s

singular point and inflection point.

• During statistical calculation, error is cumulative when data values

have a large number of digits and the differences between data

values is small. Error will be large when data values are greater

than six digits.

18. Error Messages

The calculator will display an error message whenever an error occurs

for any reason during a calculation.

• Press d or e to return to the calculation screen. The cursor will

be positioned at the location where the error occurred, ready for

input. Make the necessary corrections to the calculation and execute

it again.

• Press A to return to the calculation screen. Note that this also

clears the calculation that contained the error.

Math ERROR

Cause: • The intermediate or final result of the calculation you

are performing exceeds the allowable calculation range. • Your

input exceeds the allowable input range. • The calculation you are

performing contains an illegal mathematical operation (such as

division by zero).

Action: • Check the input values and reduce the number of digits.

• When using independent memory or a variable as the argument of

a function, make sure that the memory or variable value is within the

allowable range for the function.

Stack ERROR

Cause: The calculation you are performing has caused the capacity

of the numeric stack or the command stack to be exceeded.

Action: • Simplify the calculation expression. • Try splitting the

calculation into two or more parts.

Syntax ERROR

Cause: There is a problem with the format of the calculation you

are performing.

Action: Make necessary corrections.

19. Before Assuming Malfunction of the

Calculator...

Perform the following steps whenever an error occurs during a

calculation or when calculation results are not what you expected.

Note that you should make separate copies of important data before

performing these steps.

1. Check the calculation expression to make sure that it does not

contain any errors.

2. Make sure that you are using the correct mode for the type of

calculation you are trying to perform.

3. If the above steps do not correct your problem, press the O key.

4. Initialize all modes and settings. See “Initializing Calculation Mode

and Setup”.

20. Replacing the Battery

Important: Removing the battery will cause all of the calculator’s

memory contents to be deleted.

1. Press 1A(OFF) to turn off the

calculator.

2. Remove the cover as shown in

the illustration and replace the

battery, taking care that its plus

(+) and minus (–) ends are facing

correctly.

3. Replace the cover.

4. Initialize the calculator. See “3.

Initializing the Calculator”.

• Do not skip the above step!

Screw Screw

21. Specifications

Power Requirements: AA-size battery R6P (SUM-3) × 1

Approximate Battery Life: 17,000 hours (continuous display of

flashing cursor)

Power Consumption: 0.0001 W

Operating Temperature: 0°C to 40°C (32°F to 104°F)

Dimensions: 19.5 (H) × 78 (W) × 155 (D) mm

⬙ (H) × 3

⬙ (W) × 6

⬙ (D)

Approximate Weight: 130 g (4.6 oz) including battery

RJA526807-001V01