Answer:
9
Step-by-step explanation:
a^3=72900/100
a=(729)^1/3
a=9
If triangles PQR and STU are similar then PQ corresponds to ST and PR corresponds to SU. Therefore, PQ/ST=PR/SU
Considering that, PQ= 7-x, ST= 13-x, PR= x²+5 and SU= x² +20
therefore, (7-x)/(13-x)= (x²+5)/(x²+20)
cross multiplying,
7x² +140-x³+20x =13x²+65-x³-5x
combining the like terms,
6x² +15x -75=0
solving for x,
x = 5/2 or -5
Answer: the z score is 1
Step-by-step explanation:
Since the head circumference for boys at birth is normally distributed,
we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = head circumference for boys at birth.
µ = mean head circumference
σ = standard deviation
From the information given,
µ = 34.5cm
σ = 1.3 cm
For a boy born with a head circumference of 35.8cm, the z score is
z = (35.8 - 34.5)/1.3
z = 1
Answer:
8, 2, 8, 2
7, 3, 7, 3
6, 4 6, 4
9, 1, 9, 1
Step-by-step explanation:
In the picture, it shows two of each number so I'm gonna base it off the picture but let me know if I should base it off the wording.
So we know that half of 20 is 10. This will be valuable information. So we need the sum of two numbers to equal 10. So for the rows we can just do 8+2+8+2, 7+3+7+3, 6+4+6+4, 9+1+9+1.
Since there are 18 numbers, I'm assuming we don't have to use all of them.
Answer:
2 13/48 or 109/48
Step-by-step explanation:
Find the least common denominator
16 * 3 = 48
12 * 4 = 48
8 * 6 = 48
Convert all fractions into the common denominator of 48
33/48 + 40/48 + 36/48
Add
109/48
Simplify
2 13/48
:)
