Answer:
A translation can map one angle unto another since dilations preserve angle measures of triangles
Step-by-step explanation:
The dilation of the figure by a scale factor of 4 gives an image that is 4 times the size of the original figure. However, the interior angles of the image and the original figure remain the same
A translation is a rigid transformation, such that the image and the preimage of a translation transformation have the same dimensions and angles
A translation of three consecutive non-linear points of the dilated image to the vertex and the two lines joining the corresponding point on the image, translates the angle at the given vertex
The above process can be repeated, to translate a second angle from the image to the preimage, from which it can be shown that the two figures are similar using Angle Angle, AA, similarity postulate
Answer:
l = 100 / 8
Step-by-step explanation:
The standard formula for calculating area is bh = a.
Plug in 8 for our width.
8l = 100
Divide 8 on both sides.
l = 100 / 8.
Answer:
10.
x P(X)
0 0.238
1 0.438
2 0.269
3 0.055
11.
0.707
There is 70.7% chance that at least one but at most two adults in the sample believes in the ghost
12.
1.14≅1
There will be one adult out of three we expect to believe in the ghost
Step-by-step explanation:
The probability distribution is constructed using binomial distribution.
We have to construct the probability distribution of the number adults believe in ghosts out of three adults. so,
x=0,1,2,3
n=3
p=probability of adults believe in ghosts=0.38
The binomial distribution formula
nCxp^xq^n-x=3cx0.38^x0.62^3-x
is computed for x=0,1,2,3 and the results depicts the probability distribution of the number adults believe in ghosts out of three adults.
x P(X)
0 0.238
1 0.438
2 0.269
3 0.055
11.
P(at least one but at most two adults in the sample believes in the ghost )= P(x=1)+P(x=2)=0.437+0.269=0.707
P(at least one but at most two adults in the sample believes in the ghost )=70.7%
12. E(x)=n*p
here n=3 adults and p=0.38
E(x)=3*0.38=1.14
so we expect one adult out of three will believe in the ghosts.
Answer:
$855,000
Step-by-step explanation:
$855,000 it's alot of money.
I helped you a lot... I'm sure you will pass
There’s an 8/15 chance he will call someone from school
