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3 years ago

Use the law of syllogism to draw a conclusion from the two given statements.

Mathematics

2 answers:

Ksenya-84 [330]3 years ago

7 0

The correct answer is B. If it is Thursday, then Sara goes to the bank

Explanation:

In the law of syllogism, you use the information of two statements of premises to draw a conclusion or inference that includes part of the two statements. This implies in the case presented, the best conclusion using syllogism is "If it is Thursday, then Sara goes to the bank" because this combines the fact Sara gets a paycheck on Thursday, and every time she gets a paycheck she goes to the bank. Also, this is the only statement that uses the information of the two premises to give a realistic and accurate conclusion or inference.

Basile [38]3 years ago

5 0

B. If it is Thursday, then Sara goes to the bank.

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The circle given by x^2+y^2-6y-12=0 can be written in standard form like this: x^2+(y-k)^2=21 What is the value of k in this equ

sweet [91]

Answer:

The value of k =3

Step-by-step explanation:

$x^2+y^2-6y-12=0$ We need to solve this equation to become in standard form to find the value of k.

$x^2+y^2-6y-12=0\\x^2+y^2-6y = 12\\(x)^2 +(y^2-2(y)(3)+(3)^2) = 12 +(3)^2\\(x)^2+(y-3)^2 = 12+9\\(x)^2 +(y-3)^2 = 21$

The given standard form is:

$x^2+(y-k)^2=21$

Comparing it with $(x)^2 +(y-3)^2 = 21$

The value of k =3

3 0

2 years ago

Read 2 more answers

Solve for x in this inequality. Show all your work and<br> graph your solution.<br> 4(x-3)<2x-4

maw [93]

Answer:

x<4

Step-by-step explanation:

To solve for x in the inequality equation, the terms should be rearranged such that x is on one side and integers are on the other side.

First, expand 4(x-3).

This will obtain:

$4x - 12 < 2x - 4$

Now, shift x terms and integers on each side.

$4x - 2x < - 4 + 12$

After simplifying, it will get:

$2x < 8$

Finally, we can solve for x.

$x < 4$

We can also draw the respective graph (please don't mind my drawings), where the area shaded in green is the range.

6 0

3 years ago

Nancy has worn a blue skirt on 8 of the last 20 days.

Gala2k [10]

Answer:

it's just 8/20 so shade 8/20 of the circle

8 0

2 years ago

Read 2 more answers

Write an equation for the line below. Show work

Gekata [30.6K]

x=3 is your answer. This is because it only crosses the x-axis and this occurs at positive 3. y=3 on the other hand would be a horizontal line that only touches positive 3 on the y-axis.

4 0

2 years ago

When Harper commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 24 minutes and a

Korvikt [17]

Answer:

$\mu -2\sigma = 24-2*3= 18$

$\mu -2\sigma = 24+2*3= 30$

So then we can conclude that we expect the middle 95% of the values within 18 and 30 minutes for this case

Step-by-step explanation:

For this case we can define the random variable X as the amount of time it takes her to arrive to work and we know that the distribution for X is given by:

$X \sim N(\mu = 24, \sigma =3)$

And we want to use the empirical rule to estimate the middle 95% of her commute times. And the empirical rule states that we have 68% of the values within one deviation from the mean, 95% of the values within two deviations from the mean and 99.7 % of the values within 3 deviations from the mean. And we can find the limits on this way:

$\mu -2\sigma = 24-2*3= 18$

$\mu -2\sigma = 24+2*3= 30$

So then we can conclude that we expect the middle 95% of the values within 18 and 30 minutes for this case

7 0

3 years ago