What is the remainder and quotient of -1 is divided by3?

Answers

Answer 1

Answer: -1 ÷ 3

= Quotient = 0, Remainder = -1

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You read that a statistical test at the a 0. 01 level has probability 0. 14 of making a type ii error when a specific alternative is true. What is the power of the test against this alternative?

Answers

The power of the test against the specific alternative is given by 1 minus the probability of making a Type II error. Therefore, the power is 0.86= 86%

In statistical hypothesis testing, the power of a test is the probability that it correctly rejects a null hypothesis when a specific alternative hypothesis is true. In this case, we are given that the test has a significance level of α = 0.01, which means that the test rejects the null hypothesis if the probability of obtaining the observed result, or one more extreme, under the null hypothesis is less than 0.01.

However, we also know that when a specific alternative hypothesis is true, the test has a probability of making a Type II error of 0.14. This means that there is a 14% chance that the test fails to reject the null hypothesis, even though the alternative hypothesis is true.

Therefore, the power of the test against this specific alternative hypothesis is given by 1 minus the probability of making a Type II error, which is:

Power = 1 - P(Type II error) = 1 - 0.14 = 0.86

So, the power of the test against the specific alternative hypothesis is 0.86 or 86%. This means that when the alternative hypothesis is true, the test correctly rejects the null hypothesis 86% of the time.

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Write the number in standard notation 6.43 x 10 ^-4

Answers

The number $6.43 * 10^(-4)$ in standard notation is 0.000643.

In scientific notation, numbers are expressed in the form of $a * 10^b$ , where a is a decimal number between 1 and 10 (inclusive), and b is an integer that represents the power of 10 by which a is multiplied.

For the number $6.43 * 10^(-4)$ :

The decimal number a is 6.43. It is greater than or equal to 1 but less than 10, as it falls within the range [1, 10).

In this case, a is 6.43.

The exponent b is -4.

This indicates that the decimal number a is multiplied by 10 raised to the power of -4.

To calculate the value of the number in standardnotation, we perform the multiplication:

$6.43 * 10^(-4) = 6.43 * 0.0001$

Now, we can simplify the multiplication:

6.43 × 0.0001 = 0.000643

Hence, the number $6.43 * 10^(-4)$ in standard notation is 0.000643.

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please help I'm not good at math. What is the equation of the line that has a slope of -4 and passes through the point (2, 3)?

Answers

Answer

y=-4x-1

Step-by-step explanation:

y=-4x1 hope this help

Joel opened a checking account. His bank charges him a service fee of $4.95each month. Assume y = total cost of having the account and x = number of months.

Answers

y= x • $4.5
it needs to be 20 characters so here’s this ndnsoxid

Final answer:

The subject of this question is Mathematics and the grade level is High School. The relationship between the number of months and the total cost of having the account can be represented by the formula y = 4.95x, where y is the total cost and x is the number of months.

Explanation:

The subject of this question is Mathematics

Joel's monthly service fee is $4.95, therefore, each month the total cost of having the account increases by $4.95
In terms of variables, let x be the number of months and y be the total cost of having the account
The relationship between x and y can be expressed as y = 4.95x, where 4.95 represents the monthly service fee and x represents the number of months

Thus, the formula y = 4.95x represents the relationship between the number of months and the total cost of having the account.

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Sheldon has a traditional health insurance plan. He has a $200 deductible. The level of co-insurance for his plan is 90/10, where 10 represents Sheldon’s portion. He does not have a co-payment. If Sheldon incurs a $1,500 hospital bill, how much money will the insurance company pay for the bill?

Answers

The answer is $1,170. The hospital bill is $1,500 less the $200 deductible which is $1,300. Sheldon will then pay for 10% of his portion so multiply $1,300 by 10% with is $130 and deduct it to $1,300 which gives you $1,170.

What is an exponential number?

Answers

It's a number with an exponent

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