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3 years ago

A computer software program is $45 plus 5.5% tax. Find the final price.

Mathematics

2 answers:

Mandarinka [93]3 years ago

7 0

Final price = price x (1 + sales tax)

Final price = 45 x 1.055 = $47.48

emmainna [20.7K]3 years ago

4 0

I think it’s $47.48 but I’m not sure tho
Hope it helped

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Suppose that 7 in every 10 auto accidents involve a single vehicle. If 15 auto accidents are randomly selected, compute the prob

kobusy [5.1K]

Answer:

$\mathbf{P(X \le 4 ) \simeq 0.0006722}$

Step-by-step explanation:

From the information given:

p = x/n

p = 7/10

p = 0.7

sample size n = 15

Suppose X be the number of accidents involved by a single-vehicle.

Then;

$X \sim Binom (15,0.7)$

Thus, the required probability that at most 4 involve in a single-vehicle is

$P(X\le 4) \\ \\P(X \le 4) = P(X = 0) + P(X =1 ) + ... + P(X = 4)$

$P(X \le 4 ) = (^{15}_0) *0.7^0 *0.3^{15-0} + (^{15}_1) *0.7^1 *0.3^{15-1} + (^{15}_2) *0.7^2 *0.3^{15-2} + (^{15}_3) *0.7^3 *0.3^{15-3} + (^{15}_4) *0.7^4 *0.3^{15-4}$

$P(X \le 4 ) = (\dfrac{15!}{0!(15-0)!}) *0.7^0 *0.3^{15-0} + (\dfrac{15!}{1!(15-1)!}) *0.7^1 *0.3^{15-1} + (\dfrac{15!}{2!(15-2)!}) *0.7^2 *0.3^{15-2} + (\dfrac{15!}{3!(15-3)!}) *0.7^3 *0.3^{15-3} + (\dfrac{15!}{4!(15-4)!}) *0.7^4 *0.3^{15-4}$

$P(X \le 4 ) =1.4348907 \times 10^{-8} +5.02211745 \times 10^{-7} + 8.20279183 \times 10^{-6} + 8.29393397 \times 10^{-5} + 5.80575378 \times 10^{-4}$

$P(X \le 4 ) =6.7223407 \times 10^{-4}$

$\mathbf{P(X \le 4 ) \simeq 0.0006722}$

3 0

3 years ago

What number is equivalent to 3/4 b-2/3 b =-9

Shtirlitz [24]

Hi,

$b = - 9 \\ \frac{3}{4} \times b - \frac{2}{3} \\ 0.75 \times - 9 - 0.67 \\ - 6.75 - 0.67 = - 7.42$

Answer: -7.42

Hope this helps.
r3t40

5 0

3 years ago

(3x+4)<br> -(x+2) Please help me!!!

suter [353]

Answer:

2x+2

Step-by-step explanation:

drop the ( ) and combine like terms

6 0

3 years ago

ABAC -A DEC

garri49 [273]

Answer:

31.5/15 = 2.1

2.1 x 18 =37.8

Check by Soh Cah Toa

1) Tan-(15/18)=40* to 1d.p for angle ACB

Tan-(18/15)=50* to 1d.p for angle ABC

40 + 50=90

90+90 (in the right angled triangle) =180*

Angle in triangle add to 180

Let's check for the big triangle:

Opposite angles are equal. So, DCE is 40.

DE is opposite, x is adjacent.

Tan(40) = o/a

=31.5/x

Multiply by x both side

Tan(40) multiply by x = 31.5

Divide by Tan(40) both side and get x on its own.

x=31.5/Tan(40)

= 37.54023817.

So, x = 37.5 to 1 d.p

Pythag to fin hypotenuse of both triangle and divided by each other to see if it matches decimal multiplier at the start of my solution.

49/23=2.1 (all values to 1d.p)

Also, 37.5/18 = 2.1 to 1 d.p

6 0

3 years ago

A trapezoid and has an area of 45 square centimeters. If the base are 10 and 5 centimeters , what is the height of the trapezoid

Licemer1 [7]

Area of Trapezoid = (1/2)*(Sum of Parallels) * height

45 = (1/2)*(10 + 5) * h

45 = 1/2 * 15 * h

45 = 7.5 h

45 / 7.5 = h

6 = h

h = 6 Height is = 6 cm.

4 0

4 years ago