The angles of a rectangle are equal ALWAYS.
The rectangle has 4 angles, each angle is a right angle or has a measurement of 90°. Total of all interior angle is 360°.
Just like a rectangle, a square has an angle that is always equal because its angles are all right angles.
It would be D because both are positive and are square roots
Answer:
P=0.147
Step-by-step explanation:
As we know 80% of the trucks have good brakes. That means that probability the 1 randomly selected truck has good brakes is P(good brakes)=0.8 . So the probability that 1 randomly selected truck has bad brakes Q(bad brakes)=1-0.8-0.2
We have to find the probability, that at least 9 trucks from 16 have good brakes, however fewer than 12 trucks from 16 have good brakes. That actually means the the number of trucks with good brakes has to be 9, 10 or 11 trucks from 16.
We have to find the probability of each event (9, 10 or 11 trucks from 16 will pass the inspection) . To find the required probability 3 mentioned probabilitie have to be summarized.
So P(9/16 )= C16 9 * P(good brakes)^9*Q(bad brakes)^7
P(9/16 )= 16!/9!/7!*0.8^9*0.2^7= 11*13*5*16*0.8^9*0.2^7=approx 0.02
P(10/16)=16!/10!/6!*0.8^10*0.2^6=11*13*7*0.8^10*0.2^6=approx 0.007
P(11/16)=16!/11!/5!*0.8^11*0.2^5=13*21*16*0.8^11*0.2^5=approx 0.12
P(9≤x<12)=P(9/16)+P(10/16)+P(11/16)=0.02+0.007+0.12=0.147
Answer:
Sheet metal costs <u>$20</u> per square foot.
Step-by-step explanation:
7.6x - 2.3x = 106
We are finding the value of x.
5.3x = 106
Divide both sides by 5.3.
x = 106 ÷ 5.3
x = 20
Answer:
Step-by-step explanation:
<u>Given: </u>
line y=3x-1
point (-3,0)
<u>Write:</u> equation of the line that is perpendicular to the given and passes through the point (-3,0)
<u>Solution:</u>
The slope of the given line is 
If 
is the slope of perpendicular line, then
So, the equation of the needed line is 
Find b. This line passes through the point (-3,0), so its coordinates satisfy the equation:
