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shusha [124]
3 years ago
9

The weights of the cars passing over a bridge have a mean 3,550 pounds and standard deviation of 870 pounds. Assume that the wei

ghts of the cars passing over the bridge are normally distributed. Use the empirical rule to estimate the percentage of cars over the bridge whose weights are between 1810 and 4420 lbs.
a. 13.5%
b. 81.5%
c. 68%
d. 95%
Mathematics
1 answer:
Inessa05 [86]3 years ago
6 0

Mean = 3550

SD = 870

Find P(1810 <x<4420)

z = x -mean / sd

= (1810 - 3550 / 870) < z< (4420 - 3550 / 870)

= -2 <z< 1

Using the -z table -2 = 0.0228 and 1 = 0.8413

Subtract: 0.8413 - 0.0228 = 0.8185 x 100 = 81.85%

Rounding everything may change answer slightly so

The closest one is B 81.5%

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GARY DREW A RECTANGLE WITH A PERIMETER OF 20 INCHES. WHAT COULD BE THE LENGTH,WIDTH,AND AREA FOR THE RECTANGLE THAT GARY DREW?
Ilia_Sergeevich [38]
Assume L=1.5W, where W=width, L= Length of the triangle.

Therefore,

Perimeter (P) = 2(W+L) = 2(W+1.5W) = 2(2.5W) = 5W=20 => W=20/5 = 4 in

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Area, A= L*W = 6*4 = 24 in^2
8 0
4 years ago
Help me plzz pleased ​
Reil [10]

Answer:

jeez, one lazy person must you be if you dont have time to finish this xD

<em>answer is 181</em>

Step-by-step explanation:

well first divide the two objects, a triangle, and a rectangle. Now we have no idea what the bottom of the triangle is so lets calculate that. 18 - 2 -5 = 11

so the triangles dimesions are a10, b11.  Now we have to implement the pythagorem theroem since it doesnt give us the side "c". its a simple a^2+b^2=c^2. so side "c" is 14.866. now we can calculate and add everything together. so 18*7=126. and the triangles area is 55.<em> </em><em>so add 126+55 and viola. you get 181.</em> Im a bit skeptical that i got something  wrong but i hope its all correct. hope this helps!

5 0
3 years ago
(72*78*85*90*98)/(68*84*94*108)<br> what is the answer pls help
Sholpan [36]
The answer would be <span>72.6063829787.

(</span>4210315200) / (57988224) = 72.6063829787

3 0
4 years ago
Read 2 more answers
What is the value of r?<br> Round your final answer to the nearest whole number.
vaieri [72.5K]

Answer:

r = 13

Step-by-step explanation:

Hypotenuse is the side opposite to 90 degree angle, so hypotenuse is r.

Also, with respect to the angle given, the side "12" is the opposite.

So we have opposite side to angle and we need hypotenuse. Which trigonometric ratio related opposite with hypotenuse? It is SINE.

So we can write:

Sin(67.4)=\frac{Opposite}{Hypotenuse}=\frac{12}{r}\\rSin(67.4)=12\\r=\frac{12}{Sin(67.4)}\\r=12.99

Rounded to nearest whole number, r = 13

8 0
3 years ago
Read 2 more answers
Help me out plzz and thank u
FinnZ [79.3K]

Answer:531.14

Step-by step

5 0
4 years ago
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