I'LL GIVE BRAINLIEST: Which measurements could create more than one triangle?
2 answers:
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Answer:
From the question we are told that
The population mean is
The sample size is n = 30
The sample mean is
The population standard deviation is
The level of significance is
Step 1: State hypotheses:
The null hypothesis is
The alternative hypothesis is
Step 2: State the test statistic. Since we know the population standard deviation and the sample is large our test statistics is
=>
=>
Generally the degree of freedom is mathematically represented as
=>
=>
Step 3: State the critical region(s):
From the student t-distribution table the critical value corresponding to is
Generally the critical regions is mathematically represented as
Step 4: Conduct the experiment/study:
Generally the from the value obtained we see that the t value is outside the critical region so the decision is [Reject the null hypothesis ]
Step 5: Reach conclusions and state in English:
There is sufficient evidence to show that the filling weight has to be adjusted
Step 6: Calculate the p-value associated with this test. How does this the p-value support your conclusions in Step 5?
From the student t-distribution table the probability value to the right corresponding to at a degree of freedom of
is
Generally the p-value is mathematically represented as
=>
=>
Generally looking at the value obtained we see that hence
The decision rule is
Reject the null hypothesis
Step-by-step explanation:
Answer:
Patricia will run 132 kilometers with 11 liters of gas.
Step-by-step explanation:
The given table is representing the distance driven by Patricia for every liter of gas she puts in her car.
With 3 liters of gas she drives 36 kilometers.
This means in one liter of gas distance covered by the car = kilometers.
Similarly if the car runs 48 kilometers in 4 liters of gas then per liter distance covered by the gas will be = kilometers
Now with 11 liters of gas distance covered by the car will be = 11×12
= 132 kilometers
Therefore, with 11 liters of gas Patricia can run 132 kilometers.
slope m = - 2 → B
calculate m using the ' gradient formula '
m = (y₂ - y₁)/(x₂ - x₁)
choosing 2 'clear ' coordinates from the graph of the line
(x₁, y₁) = (0, 7) and (x₂, y₂) = (7, - 5) =
= - 2
m =