Answer: A. . Reflect triangle ABC across the x-axis, followed by a translation
5 units left.
Step-by-step explanation:
Answer:
Here we can use the relationship:
Distance = time*speed.
When Jose walks, his speed is 4 mph.
Then if he walks for X hours, the distance that he will travel is:
D = 4mph*X
When Jose runs, his speed is 8mph.
Then if he runs for T hours, the distance that he will travel is:
D´ = 8mph*Y
And we know that he travels in total 20 miles, then we must have that:
D + D´= 20mi
This leads to:
4mph*X + 8mph*Y = 20mi
Where X is the time that he walked, and Y is the time that he runed.
Then the equation that represents the different amounts of times that Jose runs and walks is:
4mph*X + 8mph*Y = 20mi
Where we can not really find the solutions for Y and X, because there is only one equation and two variables.
Let
rA--------> radius of the circle R
rB-------> radius of the circle S
SA------> the area of the sector for circle R
SB------> the area of the sector for circle S
we have that
rA=3 ft
rB=6 ft
rA/rB=3/6----> 1/2----------->
rB/rA=2
SA=2π ft²
we know that
if Both circle A and circle B have a central angle , the square
of the ratio of the radius of circle A to the radius of circle B is equals to
the ratio of the area of the sector for circle A to the area of the sector for
circle B
(rA/rB) ^2=SA/SB-----> SB=SA*(rB/rA) ^2----> SB=(2) ^2*(2π)--->
SB----------- > 8π ft²
the answer is
the area of the sector for circle S is 8π ft²
Answer:
0.133 ml
Step-by-step explanation:
The two available solutions to be used in the mixture are a 70% solution and a 85% solution
.
x = volume of 70% solution
y = volume of 85% solution
y = 2 ml
Therefore;
0.7 x + 0.85(2) = 0.75(x+2)
0.7x + 1.7 = 0.75x + 1.5
multiply through by 10 to get rid of the decimals
7x + 17 = 7.5x +15
collecting and simplifying
-0.5 x = -0.2
divide both sides by -1.5
x = -0.2/-1.5
x = <u>2/15 ml or 0.1333 ml</u>
Answer:
a) The Sample Standard deviation "measures the spread of a data distribution. It measures the typical distance between each data point and the mean"
b) 
Step-by-step explanation:
Previous concepts
The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Let X the random variable who represents the scores. We know from the problem that the distribution for the random variable X is given by:
We take a sample of n=25 nails.
From the central limit theorem we know that the distribution for the sample mean 
is given by:
Part a
The Sample Standard deviation "measures the spread of a data distribution. It measures the typical distance between each data point and the mean"
Part b
The standard error is given by:
And replacing we got:
