Answer:
Options (3) and (6)
Step-by-step explanation:
ΔABC is a dilated using a scale factor of
to produce image triangle ΔA'B'C'.
Since, dilation is a rigid transformation,
Angles of both the triangles will be unchanged or congruent.
m∠A = m∠A' and m∠B = m∠B'
Since, sides of ΔA'B'C' =
of the sides of ΔABC
Area of ΔA'B'C' = 
Area of ΔABC > Area of ΔA'B'C'
Since, angles of ΔABC and ΔA'B'C' are congruent, both the triangles will be similar.
ΔABC ~ ΔA'B'C'
Therefore, Option (3) and Option (6) are the correct options.
Answer:

Step-by-step explanation:
Hello!
The high school dropout rate, as a percentage of 16- through 24- year-olds who are not enrolled in school and have not earned a high school credential was is 2009 8.1%.
To thest the claim that this percentage has decreased, a polling company takes a random sample of 1000 people between the ages of 16 and 24 and finds out that 6.5% of them are highschool dropouts.
The study variable is
X: Number of individuals with age between 16 and 24 years old that are highschool dropouts.
The parameter of interest is the proportion fo highschool dropouts p
And the sample proportion is p'= 0.065
The hypotheses are:
H₀: p ≥ 0.081
H₁: p < 0.081
To study the population proportion, you have to approximate the distribution of the sampling proportion to normal applying the Central Limit Theorem, then the statistic to use is an approximate standard normal:

I hope this helps!
Answer:
0,12 grams
Step-by-step explanation:
0,96:8=0,12
Answer:
Step-by-step explanation:
Response Variable: Miles per gallon
Predictor Variables: Weight, Horsepower
The multiple regression equation would be: M = aW + bH + c
where M = miles per gallon
a = slope of the graph of W on M OR rate of change in M due to change in W
W = weight
b = slope of the graph of H on M OR rate of change in M due to change in H
H = horsepower
c = intercept of M on the y-axis OR constant variable
How might the car rental company use this model?
The car rental company might use the regression model to determine the following:
- Effect of weight (of car) on miles run per gallon (of premium motor spirit)
- Effect of horsepower on miles per gallon; etc.