Answer: 30.5 and 35.5
Step-by-step explanation:
We can use a system of linear equations to find out the answer to this problem. The larger number will be x and the smaller number will be y.
x=y+5
x+y=66
Substitute y+5 in for the bottom equation to get y+5+y=66. Simplify to get 2y+5=66. Subtract 5 from both sides and get 2y=61. Divide by 2 to get y=30.5. This is the smaller number. Add 5 to get the bigger number, which is 35.5
How to do the vertex is using the formula -b/2a
your a=-9 and b is -18 but it going to become +18 because you are multiplying the -(-18) which there a 1 in front the neg. you going to multiply the -9 by 2 and do 18/18 so your x= -1. You got your x, you going to put in the equation as y=-9(-1)^2-18(-1)-1 then you got your y... hope this is helpful :)
To solve this
problem, we will have to make use of the z statistic. The formula for the z
score is given as:
z = (x – u) / s
where,
x is the sample value = more than $10.00
u is the sample mean = $8.22
s is the standard deviation = $1.10
Substituting the values into the equation to solve for z:
<span>z = (10 – 8.22) /
1.10</span>
z = 1.78 / 1.10
z = 1.62
We then look for the p value using the standard
distribution tables at the specified z score value = 1.62. Since this is a
right tailed test, therefore the p value is:
p = 0.0526
or
p = 5.26%
<span>Therefore there is a 5.26% probability that a household
spent more than $10.00</span>
Answer:
2.31
×10
^−
2
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Answer:
Hope the picture will help you
