Answer:
x = -2
Step-by-step explanation:
x+8 = 2x +10
-2x + x = 10-8
-x = 2
divide both side by -1
answer -- x = -2
Answer:24
Step-by-step explanation:
Sum of their ages is 60 yr. As such
7x + 3x = 60
10x = 60
x = 60 / 10
x = 6
The rationale is 6, therefore
Father's age is 7x = 7 × 6= 42 years
Son's age is 3x = 3 × 6 = 18 years
Difference in their ages
42 - 18 = 24 years
X = Dimes Y = Nickels
x + y = 175
.10x + .05y = 13.30
Answer:
300 dollars
Step-by-step explanation:
Let the original amount = x
x - 2/5x was what his mother's share looked.
5/5 x - 2/5 x
3/5x is what is left.
3/5 x - 1/4 * 3/5 x - 2/3x * 3/5 = his sister's share and his brothers
3/5x - 1/4*3/5 x - 2/3 * 3/5 = 15
3/5x * (1 - 1/4 - 2/3) = 15
3/5 x 5/60 = 15
15 / 300 * x = 15
1/20 x = 15
x = 15 * 20
x = 300
Answer:
Step-by-step explanation:
Hello!
The variable of study is X: Temperature measured by a thermometer (ºC)
This variable has a distribution approximately normal with mean μ= 0ºC and standard deviation σ= 1.00ºC
To determine the value of X that separates the bottom 4% of the distribution from the top 96% you have to work using the standard normal distribution:
P(X≤x)= 0.04 ⇒ P(Z≤z)=0.04
First you have to use the Z tables to determine the value of Z that accumulates 0.04 of probability. It is the "bottom" 0.04, this means that the value will be in the left tail of the distribution and will be a negative value.
z= -1.75
Now using the formula of the distribution and the parameters of X you have to transform the Z-value into a value of X
z= (X-μ)/σ
z*σ = X-μ
(z*σ)+μ = X
X= (-1.75-0)/1= -1.75ºC
The value that separates the bottom 4% is -1.75ºC
I hope this helps!
