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Andru [333]
3 years ago
5

The following statement is an example of: every fall there have been hurricanes in the tropics. Therefore, there will be hurrica

nes in the tropics this coming fall.
Is it deductive, indutive reasoning or a conjecture.
Mathematics
1 answer:
Aneli [31]3 years ago
8 0

Answer:

Deductive reasoning

Step-by-step explanation:

Here, we want to know the kind of reasoning the statement is.

In this question, the kind of reasoning is deductive

In the deductive reasoning type, we go from general cases to specific cases

It is just like saying the reason why there will be hurricanes in the tropics this fall is because there is an hurricane every fall

So we have gone from a general case to give a specific case

You might be interested in
A factory that manufactures screws is performing a quality control experiment. Each object should have a length of no more than
-BARSIC- [3]

Answer:

a) Null Hypothesis: length of each screw is less than 14 centimeters

b) Alternate Hypothesis: length of each screw is equal to or greater than 14 centimeters

Step-by-step explanation:

Complete question

A factory that manufactures screws is performing a quality control experiment. Each object should have a length of no more than 14 centimeters. The factory believes that the length of the screws exceeds this value and measures the length of screws. The sample mean screw length was centimeters. The population standard deviation is known to be centimeters.

1. What is the null hypothesis?

2. What is the alternative hypothesis?

Solution :

The null hypothesis is basically the problem statement that needs to be tested.

Alternate hypothesis is opposite of that of null hypothesis

a) Null Hypothesis: length of each screw is less than 14 centimeters

b) Alternate Hypothesis: length of each screw is equal to or greater than 14 centimeters

7 0
3 years ago
Write 0.00605 in scientific notation.
vichka [17]
How many jumps is it from the decimal point to the position to the right of the 6

The answer to that is 3 jumps.  Since the move of the decimal made the number larger than it really is, it will take a negative value to put it back where it belongs.

So A) is the correct answer.  It is in scientific notation and if you move the decimal back 3 place you get the number you stared with.
5 0
3 years ago
2<br> 2. Evaluate (a + y)+ 2y if a = 5 and y = -3.<br> F 58<br> G -2<br> H 70<br> J 10
NARA [144]
<h3>Answer:  G) -2</h3>

=======================================================

Explanation:

I'm assuming you meant to say (a+y)^2 + 2y

Replace each copy of 'a' with 5. Replace each copy of 'y' with -3. Use PEMDAS to simplify.

(a+y)^2 + 2y

(5 + (-3))^2 + 2(-3)

(5-3)^2 + 2(-3)

(2)^2 + 2(-3)

4 + 2(-3)

4 - 6

-2

So (a+y)^2 + 2y = -2 when a = 5 and y = -3.

3 0
3 years ago
Test the hypothesis using the P value approach. Be sure the verify the requirements of the test.
Andreas93 [3]

Answer:

p_v =2*P(z  

If we compare the p value and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion is not significantly different from 0.77.  

Step-by-step explanation:

1) Data given and notation

n=500 represent the random sample taken

X=380 represent the number of people with some characteristic

\hat p=\frac{380}{500}=0.76 estimated proportion of adults that said that it is morally wrong to not report all income on tax returns

p_o=0.76 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

p_v 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 true proportion is 0.7 .:  

Null hypothesis:p=0.77  

Alternative hypothesis:p \neq 0.77  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

<em>Check for the assumptions that he sample must satisfy in order to apply the test </em>

a)The random sample needs to be representative: On this case the problem no mention about it but we can assume it.

b) The sample needs to be large enough

np_o =500*0.77=385>10

n(1-p_o)=384*(1-0.77)=115>10

3) Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.76-0.77}{\sqrt{\frac{0.77(1-0.77)}{500}}}=-0.531  

4) Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about 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 provided \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

p_v =2*P(z  

If we compare the p value and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion is not significantly different from 0.77.  

6 0
3 years ago
Write the expression in repeated multiplication form. Then write the expression as a power. (-8)^3*(-8)^4 The expression in repe
Makovka662 [10]

Given:

The expression is

(-8)^3\cdot (-8)^4

To find:

The expression in repeated multiplication form and then write the expression as a power.

Solution:

We have,

(-8)^3\cdot (-8)^4

The repeated multiplication form of this expression is

=[(-8)\cdot (-8)\cdot (-8)]\cdot [(-8)\cdot (-8)\cdot (-8)\cdot (-8)]

=(-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)

Clearly, (-8) is multiplied seven times by itself. So,

=(-8)^7

Therefore, the repeated multiplication form of the given expression is (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8) and the expression as single power is (-8)^7.

7 0
2 years ago
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