Answer:
0.1587 = 15.87% probability that a person will wait for more than 9 minutes.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The mean waiting time is 6 minutes and the variance of the waiting time is 9.
This means that [tex]\mu = 6, \sigma = \sqrt{9} = 3[/tex]
Find the probability that a person will wait for more than 9 minutes.
This is 1 subtracted by the p-value of Z when X = 9. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{9 - 6}{3}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a p-value of 0.8413.
1 - 0.8413 = 0.1587
0.1587 = 15.87% probability that a person will wait for more than 9 minutes.
6.(a) A laptop was bought at Canadian $ 770. If the tax of 20% and 13% VAT should be paid, find the least selling price of it in Nepali rupee that prevents the shopkeeper from loss?
The LEAST selling price of the laptop should be ;
$1024.1 in other to avoid loss.
Price of laptop = $770
Tax = 20%
VAT = 13%
TO avoid loss ;
both the VAT percentage and TAX must be added to the price of the laptop:
Total percentage = VAT + TAX = (20 + 13) = 33%
THEREFORE, Least selling price should be :
Price of laptop * (1 + 33%)
770 * 1.33
= $1024.1
Learn more about TAX :
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PLEASE HELP ME WITH EMPIRICAL RULE!! ASAP!
Answer:
hahahahahahahahahahhahahahahhahahahahhahagagagaggagagagahhahahahahha
look at the image question
Answer:
288 km²
Step-by-step explanation:
Surface area,
(10×10)+(9.4×10×2)
= 100+188
= 288 km²
Solve for x using the
distributive property.
6(2 - 6x) = -24
X ?
⇛6(2 - 6x) = -24
⇛12 - 36x = -24
⇛-36x = -24 - 12
⇛-36x = -36
⇛x = -36/-36
⇛x = 1
what is the answer to EVAULATE 8+-9+-6
Answer:
11
Step-by-step explanation:
8 + 9 + -6
8 + 9 = 17
17 + (-6) = 11
Answered by Gauthmath
Solve the equation for the given variable
-2(-2x + 3) = -3x + 10
Round your answers to the nearest tenths place
Help meee
[tex] - 2( - 2x + 3) = - 3 x+ 10[/tex]
[tex]4x - 6 = - 3x + 10[/tex]
[tex]4x + 3x = 16[/tex]
[tex]7x = 16[/tex]
[tex]x = \frac{16}{7} [/tex]
[tex]x = 2.2857[/tex]
[tex]x = 3[/tex]
find the scale factor and ratio of perimeters for a pair of similar octagons with areas 49 ft^2 and 64 ft^2
Answer:
scale factor: 1.16
perimeters: 21.84 ft and 25.36 ft
A patient is supposed to have 800 mL every 24 hours. You kmow that the patiemt has three fourths of the fluid between breakfast 8am and dinmer 6pm. How much should be injested between 8am and 6pm?
Answer: 600 ml
Step-by-step explanation:
The patient has 3/4 out of 800 milliliters of fluid. To find how much they take in, multiply 3/4 * 800.
3/4 *800= 2400/4
simplify 2400/4
= 600
Can someone check my answers if they are correct or incorrect? If it is incorrect, please let me know why it is incorrect please.
Find the function G defined by G(x) =5x+3 find G(-1)
Answer:
G(-1) = -2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Functions
Function NotationStep-by-step explanation:
Step 1: Define
Identify
G(x) = 5x + 3
Step 2: Evaluate
Substitute in x [Function G(x)]: G(-1) = 5(-1) + 3Multiply: G(-1) = -5 + 3Add: G(-1) = -2Answer:
G = -2
Step-by-step explanation:
Plug in -1 for x.
5(-1) + 3
-5 + 3
-2
G = -2
using sets what is the intersection of a=(-2-1,0,1,7) I=(-2,-1,1,2,8)
Heather has $20 in her purse she earn some money at work and add it to the money in her purse at the end of the day she has $95 in her purse use M as a variable
Answer:
M=$75
Step-by-step explanation:
I used M for money that Heather earned.
$20+M=$95
pls halllllllpppppppp
Answer:
85 degrees
Step-by-step explanation:
To find the range, take the high temperature and subtract the low temperature
40 - -45
40 + 45
85
The range is 85 degrees
Answer:
85
Step-by-step explanation:
The definition of range is the subtraction between the highest and lowest numbers.
In this problem, there are only two numbers so they will be subtracted.
40 - -45
40 + 45 = 85
The range is 85.
Hope this helped.
Find the length of x
Answer:
32
Step-by-step explanation:
Let's assume that the triangles are similar.
[tex]\frac{16}{12} = \frac{24}{18} = \frac{x}{24}[/tex]
[tex]\frac{x}{24} = \frac{4}{3} => x = \frac{24}{3} * 4= 8 * 4 = 32[/tex]
the number of times n a ball bounces
Choose the correct answer below.
O rational numbers
O integers
o irrational numbers
O natural numbers
The number of times n a ball bounces is a natural number
How to determine the category of the statement?The mathematical statement is given as:
The number of times n a ball bounces
A ball cannot bounce in decimal times or negative times
Also, it can not bounce in 0 times
This means that the number of bounce is a positive integer
A positive integer is also a natural number
Hence, the number of times n a ball bounces is a natural number
Read more about natural numbers at
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Select the correct answer.
Given the following formula, solve for l.
A.
B.
C.
D.
Answer:
c
Step-by-step explanation:
took the test so i assume its this question
If (x+2) is a Factor x^3 + 2x^2 + 2x + k then find the value of K.
Answer:
4
Step-by-step explanation:
if x+2 is a factor of the above expression then,
x=-2
so putting the value of x in above expression we get,
(-2)^3+2×(-2)^2+2×(-2)+k=0
or,-8+8-4+k=0
k=4
Answer:
Step-by-step explanation:
If (x + 2) is a factor of a polynomial then ( - 2 ) is the zero of that polynomial ⇒ ( - 2 )³ + 2( - 2 )² + 2( - 2 ) + k = 0 ⇒ k = - 4
how would I solve this and what is the answer.
Answer:
b is -6 or -10
Step-by-step explanation:
[tex] \frac{1}{b} = \frac{1}{b - 12} + \frac{ {b}^{2} + 16b + 48}{ {b}^{2} - 12b} \\ \\ \frac{1}{b} = \frac{b + ( {b}^{2} + 16b + 48)}{b(b - 12)} \\ \\ b - 12= b + ( {b}^{2} + 16b + 48) \\ {b}^{2} + 16b + 60= 0 \\ (b + 6)(b + 10) = 0 \\ b = - 6 \\ and \\ b = - 10[/tex]
what is the hcf of 40,50???
Answer:
10
Step-by-step explanation:
10
Which matrix equation represents the system of equations?
Answer:
B. [tex]\left[\begin{array}{ccc}-1&2\\0&1\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] =\left[\begin{array}{ccc}0\\-2\\\end{array}\right][/tex]
Step-by-step explanation:
Given the systems of equations
-x + 2y = 0
y = -2
This can also be written as:
-x + 2y = 0
0x + y = -2
We are to write in this form AX = b
A is a 2by2 matrix with coefficients of x nd y
X is a column matrix containing the unknown
b is a column matrix with the values at the right hand sides (0 and -2)
Writing in matrix form;
[tex]\left[\begin{array}{ccc}-1&2\\0&1\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] =\left[\begin{array}{ccc}0\\-2\\\end{array}\right][/tex]
Rewrite the following expressions using the distributive property.
1. 5(3x - 2)
2. 2x(6x + 5)
3.
2x
(9x + 6)
3
2
Solve for x, Correct to one decimal place where 0°<x<90°
Sin2x=0,291
Answer:
Step-by-step explanation:
Sin2x=0,291
Sin2x = 2Sinx * CosxA lady wearing a McDonalds t-shirt with a delicious-looking Big Mac on it asks which fast food restaurant is your favourite. This leads to which type of bias?
a) Response Bias
b) Sampling Bias
c) Measurement Bias
d) Non-response Bias
Which expression is equivalent to sq root of 2x^5/18? Assume x is greater than 0
Answer:
√(2x^5 / 18) = √2x^5 / √18 = √2x^5 / √9*2 = √2x^5 / 3√2 = √x^5 / 3
The square root of x^5 over the number 3 is an equivalent of the initial expression.
i provided the question
Answer:
(0, 3)
Step-by-step explanation:
y = 3 is the horizontal tangent to y = x^2+3, and passes the parobala at (0, 3)
PLEASE HELP THIS IS DUE ASAP!!!!!!!!!!!!!!
the answer is 1/12
the first rolling a 4 has a 1/6 chance of happening and half of the numbers on the die are odd, so 1/6*1/2=1/12
Five more than twice a number is three. Write that in equation
Step-by-step explanation:
Hi there!
According to the question;
Five more than twice a number is three.
Then let the number be "x".
Since X is the number according to the condition of question;
The number is twice : 2x
It's then more 5 : 2x+5
And the result is : 3,
Combining all; we get,
2x+5 = 3
Therefore, the required equation is 2x+5 = 3.
Hope it helps!
The scale on a map is
1:25 000
(a) On a map, a distance
measures 5cm. What is this
in real life? Give your
answer in kilometres.
(b) In real life a distance is
2.2km. What would this be in
the map in centimetres?
Answer:
Step-by-step explanation:
a) 5 cm(25000)(1 m/100 cm)(1 km/1000 m) = 1.25 km
b) 2.2 km (1000 m/km)(100 cm/m) / 25000 = 8.8 cm
solve for y then find the slope and y intercept and graph
y=4x+3
y=
b=
m=
Answer:
y = 4x+3
m =4
b =3
Step-by-step explanation:
y=4x+3
This is already solved for y
This is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = 4x+3
m =4
b =3
Write an equation in slope-intercept form for the line with slope -3/2
and y-intercept 5.
Answer: y = -3/2x + 5
Step-by-step explanation:
Slope-intercept form: y = mx + b
m = slope = -3/2b = y-intercept = 5y = -3/2x + 5
Answer:
y = -3/2x + 5 totally
Step-by-step explanation: