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Brilliant_brown [7]
3 years ago
7

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
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