Molly has cups of sugar. She used cup of sugar. She wants to model a subtraction problem on a number line to find how much sugar
she has left. Molly’s first step is shown below.
What should Molly do next, and how much sugar does she have left?
A. Move units to the right. She has cups of sugar left.
B. Move unit to the left. She has cup of sugar left.
C. Move units to the left. She has cup of sugar left.
D. Move unit to the right. She has cups of sugar left.
What should Molly do next, and how much sugar does she have left?
A. Move units to the right. She has cups of sugar left.
B. Move unit to the left. She has cup of sugar left.
C. Move units to the left. She has cup of sugar left.
D. Move unit to the right. She has cups of sugar left.
2 answers:
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Answer:
When 6 helicopters are produced weekly, the company's profit is <u>14 thousand dollars.</u>
Step-by-step explanation:
As per the given statement:
The company profit (in thousands of dollars), as a function of the number of helicopters produced per week can be modeled by a function.
The function that models the scenario is:
......[1]
where
f(h) represents the company's profit
h represents the number of helicopters produced per week.
It is also given that when 1 helicopter is produced per week, the company’s profit is 4 thousand dollars.
Maximum profit for company 22 thousand dollars, occurs when 4 helicopters are produced per week
⇒ and
we have to find when 6 helicopters are produced weekly, the company profit is;
⇒ h = 6 helicopters
Substitute this value in [1] to solve for f(6);
=
Therefore, the company profit is, 14 thousand dollars.
Answer:
The p value obtained and using the significance level assumed we have
so we can conclude that we have enough evidenc to reject the null hypothesis, and we can said that at 5% of significance the proportion of new laptop's with fully charge for the new model is significantly higher compared to the old model.
Step-by-step explanation:
1) Data given and notation n
n=100 represent the random sample taken
X=96 represent the laptop's arrived with fully charged batteries.
estimated proportion of laptop's arrived with fully charged batteries.
is the value that we want to test
represent the significance level
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
2) Concepts and formulas to use
We need to conduct a hypothesis in order to test the claim that the new model’s rate is at least as high as the previous model.:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statisitc, and the is given by:
(1)
The One-Sample Proportion Test is used to assess whether a population proportion is significantly different from a hypothesized value
.
3) Calculate the statistic
Since we have all the info requires we can replace in formula (1) like this:
4) Statistical decision
P value method or p value approach . "This method consists on determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.
The significance level is not provided, but we can assume . The next step would be calculate the p value for this test.
Since is a one side test the p value would be:
So based on the p value obtained and using the significance level assumed we have
so we can conclude that we have enough evidenc to reject the null hypothesis, and we can said that at 5% of significance the proportion of new laptop's with fully charge for the new model is significantly higher compared to the old model.
Answer:
Multiply by ∛2 and translate the graph to left by 4 units.
Step-by-step explanation:
The initial function given is:
y = -∛(x - 4)
The transformed function is:
y = -∛(2x - 4)
Consider the initial function.
y = -∛(x - 4)
(Represented by Black line in the graph)
Multiply the function by ∛2. The function becomes:
y = -∛(x - 4) × ∛2
y = -∛(2)(x-4)
y = -∛(2x-8)
(Represented by Red line in the graph represents this function)
Translate the graph 4 units to the left by adding 4 to the x component:
y = -∛(2x-8+4)
y= -∛(2x - 4)
(Represented by Blue line in the graph)
