<span>2.5 – 1.2x < 6.5 – 3.2x
-1.2x + 3.2x < 6.5 - 2.5
3.2x - 1.2x < 4
2x < 4
x < 4/2
x < 2</span>
Answer:
The customer can conclude that the company's claim is correct
Step-by-step explanation:
The percentage of lids that has a free yogurt coupon = 20%
The number of cups a loyal customer purchases = 85 yogurt cups
The number of cups that contained a coupon = 12 (14.1%)
The confidence interval performed = 99% confidence interval for the proportion of yogurt cups containing coupon codes
The interval obtained = (0.044, 0.238)
Therefore, the range of proportion within which the true proportion exists is 0.044 < 
< 0.238
The range of percentage within which the true percentage exist is therefore;
0.044 × 100 = 4.4% < × 100 < 0.238 × 100 = 23.8%
Given that the possible true percentage of lids that has a coupon is between 4.4% and 23.8% at 99% confidence level, the customer can conclude that only 12 of his yogurt cup contained coupon by chance and that the company's claim is correct.
Answer:
Step-by-step explanation:
f(x) = (x + 3)(x - 2) has two zeros: One stems from (x + 3) = 0 and is (-3, 0); the other stems from (x - 2) = 0 and is (2, 0).
The axis of symmetry is a vertical line located halfway between -3 and 2:
x = -1/2.
The graph opens up because the given (x + 3)(x - 2) has a positive leading coefficient (+1).
With this information we can eliminate the last two possible answers. Note that the x-intercepts of the first graph are -3 and 2, Thus, the first graph is the correct one.
Answer:
f= -2/3
Step-by-step explanation:
Let's solve your equation step-by-step.
f(3)=−2
Step 1: Simplify both sides of the equation.
3f=−2
Step 2: Divide both sides by 3.
3f
3
=
−2
3
f=
−2
3
Answer:
f=
−2
3
Answer:
Height of skyscraper's model = 5 feet
Step-by-step explanation:
Given:
Height of skyscraper = 1,450 feet
Scale model ratio = 1:290
Find:
Height of skyscraper's model.
Computation:
Height of skyscraper's model = Height of skyscraper × Scale model ratio
Height of skyscraper's model = 1,450 × (1/290)
Height of skyscraper's model = 5 feet
