The time spent waiting in the line is approximately normally distributed. The mean waiting time is 6 minutes and the variance of the waiting time is 9. Find the probability that a person will wait for more than 9 minutes.

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]

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

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 :

https://brainly.in/question/31818297

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!

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

[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]

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)

Answer:

11

Step-by-step explanation:

8 + 9 + -6

8 + 9 = 17

17 + (-6) = 11

Answered by Gauthmath

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.

Answer:

scale factor: 1.16

perimeters: 21.84 ft and 25.36 ft

Answer:

10

Step-by-step explanation:

10

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]

Answer: y = -3/2x + 5

Step-by-step explanation:

Slope-intercept form: y = mx + b

y = -3/2x + 5

Answer:

y = -3/2x + 5 totally

Step-by-step explanation:

Answer:

Step-by-step explanation:

Sin2x=0,291​

Answer:

hahahahahahahahahahhahahahahhahahahahhahagagagaggagagagahhahahahahha

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.

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

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

Answer:

G(-1) = -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Functions

Step-by-step explanation:

Step 1: Define

Identify

G(x) = 5x + 3

Step 2: Evaluate

Answer:

G = -2

Step-by-step explanation:

Plug in -1 for x.

5(-1) + 3

-5 + 3

-2

G = -2

⇛6(2 - 6x) = -24

⇛12 - 36x = -24

⇛-36x = -24 - 12

⇛-36x = -36

⇛x = -36/-36

⇛x = 1

The number of times n a ball bounces is a natural number

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

https://brainly.com/question/24672369

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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]

Answer:

M=$75

Step-by-step explanation:

I used M for money that Heather earned.

$20+M=$95

Answer:

288 km²

Step-by-step explanation:

Surface area,

(10×10)+(9.4×10×2)

= 100+188

= 288 km²

Answer:

c

Step-by-step explanation:

took the test so i assume its this question

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