Hey there :)
Let us translate the sentence into mathematics step by step:
There are twice as many as blue cubes as yellow cubes
2 x yellow = 2 cubes = blue
1 cube = yellow
There are four times as many as green cubes as blue cubes
4 x 2 ( blue cubes ) = 8 cubes = green
Total cubes = yellow + blue + green
= 1 + 2 + 8
= 11
Hannah takes random cube
Probability that Hannah takes yellow cube:
P = number of Yellow cubes ÷ Total number of cubes
P =
Answer:
1
∶
−
*
0
.
1
Step-by-step explanation:
Answer: a. 0.14085
b. 3.826 x 
c. 0.5437
d. 0.0811
Step-by-step explanation:
Given average amount parents and children spent per child on back-to-school clothes in Autumn 2010 , 
= $527
Given standard deviation , 
= $160
Let X = amount spent on a randomly selected child
Also Z = 
a. Probability(X>$700) = P( > 
) = P(Z>1.08125) = 0.14085 {Using Z % table}
b. P(X<100) = P( Z < 
) = P(Z< -2.66875) = P(Z > 2.66875) = 3.826 x
c. P(450<X<700) = P(X<700) - P(X<=450)
P(X<700) = 1 - P(X>=700) = 1 - 0.14085 = 0.8592
P(X<=450) = P(Z<= 
) = P(Z<= -0.48125) = P(Z<=0.48125) = 0.3155
So final P(450<X<700) = 0.8592 - 0.3155 = 0.5437
d. P(X<=300) = P(Z<= 
) = P(Z<= -1.4188) = P(Z>=1.4188) = 0.0811
All the above probabilities are calculated using Z % table along with interpolation between two values.
The explicit formula for the sequence is an = 14-6(n-1)
<h3>Arithmetic sequence</h3>
This are sequence that has. a common difference that is the difference between the preceding and sthe explicit formula for the sequence is an = 14-6(n-1) is equal.
Given the following
a1 = 14
an = an-1 - 6
The nth term of the sequence is expressed as:
An = a+(n-1)d
an = 14+(n-1)(-6)
an = 14 -6n + 6
an = 14-6(n-1)
Hence the explicit formula for the sequence is an = 14-6(n-1)
Learn more on arithmetic sequence here: brainly.com/question/503167
#SPJ1
<span>As you have two fractions, you can cross multiply them. This gives: x/a = y/b to ay = xb. Then divide both sides by b to isolate x: ay/b = x.</span>
