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olasank [31]
3 years ago
9

Calvin evaluated -2/3 *5 1/6 using the steps below.

Mathematics
1 answer:
matrenka [14]3 years ago
5 0

For this case we have to evaluate the following expression,

- \frac {2} {3} * 5 \frac {1} {6}

We must follow the steps below:

We convert the mixed number into a fraction:

- \frac {2} {3} * \frac {6 * 5 + 1} {6} =\\- \frac {2} {3} * \frac {31} {6} =

We multiply the fractions, taking into account that:

- * + = -\\- \frac {2 * 31} {3 * 6} =\\- \frac {62} {18} =

We simplify:

- \frac {31} {9}

We convert to mixed number:

-3 \frac {4} {9}

Answer:

-3 \frac {4} {9}

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What two numbers have a product of -36 and a sum of<br> 5?
natima [27]

Answer: 9, -4

Step-by-step explanation:

We can write an equation:

xy=-36

x+y=5

Factors of -36 are: 1, -36, -1, 36, 2, -13, -2, 13, 4, -9, -9, 4, 6, -6

There are only 2 factors here that add up to -36: 9 and -4

5 0
3 years ago
Negate the conditional statement.<br><br> c⇒(a∧∼b)
gulaghasi [49]

The negate of this conditional statement as : a∨(∼b).

<h3>What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?</h3>
  • A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.
  • A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
  • For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.

We have the the following conditional statement -

c ⇒ (a∧∼b)

We can write the negate of this conditional statement as -

a∨(∼b)

Therefore, the negate of this conditional statement as : a∨(∼b).

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

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7 0
1 year ago
If Shane’s average number of jumps completed is greater than one-half, then the
Norma-Jean [14]

Ok so, it all depends if Shane is likely to jump win over all of the other seventh graders then the eighth graders should earn the 50 points...

But if the roles are reversed the the Seventh graders should earn the 50 points.

There is not a full answer to what I am saying but from speculation you should be able to decide..

7 0
2 years ago
A study was conducted to investigate the effectiveness of hypnotism in reducing pain. An SRS of 8 subjects was randomly selected
chubhunter [2.5K]

Answer:

e. No, the p-value is greater than 0.01, so there is insufficient evidence at the 0.01 level to conclude that pain levels are lower after hypnotism.

Step-by-step explanation:

Hello!

The study's objective is to test if hypnotism reduces pain.

A sample of n=8 subjects was taken and the pain level was recorded in each subject before and after being hypnotized.

The variable of interest was determined by calculating the difference of pain level after - before hypnosis. This is a paired sample test and the variable can be determined as:

Xd: Difference between pain level felt after hypnosis and pain level felt before hypnosis of a subject.

The sample average and standard deviation obtained were:

Xd= -3

Sd= 3

And the variable is presumed to be approximately normal.

An approximately normal distribution is enough to conduct a paired sample t-test.

If the claim is that hypnosis reduces pain, then the average pain level after hypnosis should be less than the average pain level before hypnosis, then the average difference is expected to be negative, symbolically: μd < 0

The test will be one-tailed and so will be the p-value.

Remember: The p-value is defined as the probability corresponding to the calculated statistic if possible under the null hypothesis (i.e. the probability of obtaining a value as extreme as the value of the statistic under the null hypothesis).

So first step is to calculate the value of the statistic under the null hypothesis and then you can calculate the p-value.

H₀: μd ≥ 0

H₁: μd < 0

t_{H_0}= \frac{X_d-Mu_{d}}{\frac{S_d}{n} }= \frac{-0-0}{\frac{3}{\sqrt{8} } } = -2.828= -2.83

The DF of the t-test are n-1= 7

Then you can calculate the p-value as:

P(t₇≤-2.83)= 0.0127

The level of the test is α: 0.01

The decision rule is:

If p-value ≤ α, reject the null hypothesis.

If p-value > α, do not reject the null hypothesis.

The p-value > α the decision is to not reject the null hypothesis.

Correct option: e. No, the p-value is greater than 0.01, so there is insufficient evidence at the 0.01 level to conclude that pain levels are lower after hypnotism.

I hope this helps!

5 0
3 years ago
The number by which the dividend is being divided? Means?
Ann [662]
That would be called the quotient.
7 0
3 years ago
Read 2 more answers
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