2x+4y=28
x+y=9
2x+2y=18
2y=10
y=5 cupcakes
9-5=4 ice cream cones
5 cupcakes and 4 ice cream cones
Answer:
And if we solve for a we got
Step-by-step explanation:
For this case we have the initial case we have a normal distribution given :
Where and
And from the info of the problem we know that:
We can verify this using the z score formula given by:
And if we replace we got:
Now we have another situation for a new random variable X with a new distribution given by:
Where and
For this part we want to find a value a, such that we satisfy this condition:
(a)
(b)
Both conditions are equivalent on this case. We can use the z score again in order to find the value a.
As we can see on the figure attached the z value that satisfy the condition with 0.023 of the area on the left and 0.977 of the area on the right it's z=-1.995. On this case P(Z<-1.995)=0.023 and P(z>-1.995)=0.977
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for a we got
The value is of the tenths place is 7
Answer:
Step-by-step explanation:Simplifying
3x + 8 = 2x + -21
Reorder the terms:
8 + 3x = 2x + -21
Reorder the terms:
8 + 3x = -21 + 2x
Solving
8 + 3x = -21 + 2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x' to each side of the equation.
8 + 3x + -2x = -21 + 2x + -2x
Combine like terms: 3x + -2x = 1x
8 + 1x = -21 + 2x + -2x
Combine like terms: 2x + -2x = 0
8 + 1x = -21 + 0
8 + 1x = -21
Add '-8' to each side of the equation.
8 + -8 + 1x = -21 + -8
Combine like terms: 8 + -8 = 0
0 + 1x = -21 + -8
1x = -21 + -8
Combine like terms: -21 + -8 = -29
1x = -29
Divide each side by '1'.
x = -29
Simplifying
x = -29
Can you write the whole problem please