Which set of integers is included in (-1,3]?(1) {0,1,2,3} (3) {-1,0,1,2,3,4}
(2) {-1,0,1,2} (4) {-2,-1,0,1,2,3}

Answers

Answer 1
Answer: Hello,

N={0,1,2,3,4,5,...}

(-1,3]={0,1,2,3}⊂N

Answer (1) no negative whole numbers.

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Kai has $315 in her bank account. She withdraws $65 for a new jacket and another $13 for lunch with her friends. She deposits $26. What is the balance in Kai's account?​

Answers

Answer:

263

Step-by-step explanation:

take the start amount 315 and subtract 78 then add 26 which would amount to 263

Answer:

$263!! :D

Step-by-step explanation:

Take $315 and subtract $65   $315 - $65 = $250

Then subtract $13     $250 - $13 = $237

Then add $26!  $237 + $26 = $263!

Multiply (x + 3)(x – 3). A. x2 + 6x + 9
B. x2 – 9
C. x2 + 6x – 9
D. x2 – 6x + 9

I can't focus.

Answers

Answer:

The answer is B. x^2-9

Step-by-step explanation:

This problem represents a "the Sum and Difference of the same two terms".

If you encounter the same two terms and just the sign between them changes, rest assured that the result is the square of those two terms. Also, the second term will always be negative.

For example:

(a-b)*(a+b)=a^2-b^2

So, in this case:

(x+3)*(x-3)\nx^2-3*x+3*x-9\nx^2-9

Therefore, the answer is B. x^2-9

B would be correct the -3 x and 3 x cancel out

What is the perimeter of triangle ABC with vertices A(-1,-2), B(2,-6), and C(-3,-6)?

Answers

find the distance between the points and that is perimiter

find
A to B
B to C
C to A
we need the distance formula
D=\sqrt{(x2-x1)^(2)+(y2-y1)^(2)}
where D is the distance between points (x1,y1) and (x2,y2)

A to B
(-1,-2) to (2,-6)
D=\sqrt{(2-(-1))^(2)+(-6-(-2))^(2)}=5

B to C
(2,-6) to (-3,-6)
since the y value stayed the same, find the distance betwen the x values
2 to -3 is distance of 5

C to A
(-3,-6) to (-1,-2)
D=\sqrt{(-1-(-3))^(2)+(-2-(-6))^(2)}=2√5

add everybody

5+5+2√5=10+2√5 units

An Apple iPad sells for $699.00 on eBay. The markup is 30% on cost. What is the total cost of the iPadsold on eBay?

Answers

The cost of the iPad  sold on eBay is $537.7

The mark up percentage is given by:

Mark up = [(selling price - cost price)/cost price] * 100%

Given that selling price = $699, mark up = 30%= 0.3. Let x represent the cost price, hence:

Mark up = [(selling price - cost price)/cost price] * 100%

0.3 = (699-x)/x

0.3x = 699 - x

1.3x = 699

x = $537.7

Therefore the cost of the iPad  sold on eBay is $537.7

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the cost of ipad = 699$
the markup = 30%
1%  = 699/100 = 6.99$
30% = 6.99 x 3 = 209.7$
the markup = 209.7$
the total cost of the ipad = 699 + 209.7 = 908.7$

Find the measure of the missing angle.
59°

Answers

Final answer:

The total angle for a triangle is 180°. If one angle is given as 59°, the other two angles total 121°(180°-59°). More information is required to find a specific missing angle.

Explanation:

To find the measure of the missing angle, I must assume that you're referring to a triangle, as more information is needed for other situations. The total internal angle for a triangle is always 180 degrees. So if one angle is 59°, the other angles will add up to 180° - 59° = 121°. But this is the sum of the other two angles. If you're looking for the measure of a specific angle, we'll need more information.

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Answer:

31 is the missing angle

Step-by-step explanation:

Right Angle = 90 degrees

90 - 59 = 31 degress

Publishing scientific papers online is fast, and the papers can be long. Publishing in a paper journal means that the paper will live forever in libraries. The British Medical Journal combines the two; it prints short and reasonable versions, with longer versions available online. Is this OK with authors? The journal asked about a random sample of 104 of its recent authors' several questions. One question was, "Should the journal continue using this system?"
In the sample, 72 said "yes."
(a) do the data give good evidence that more than two-thirds (67%) of authors support continuing this system? carry out an appropriate test to help answer this question.
(b) interpret the p-values from your test in the context of the problem.

Answers

Answer:

There is no significant evidence that more than two-thirds (67%) of authors support continuing this system.

Step-by-step explanation:

Let p be the proportion of authors who support continuing the system

Then hypotheses are:

H_(0): p=0.67

H_(a): p>0.67

To calculate the test statistic:

z=\frac{p(s)-p}{\sqrt{(p*(1-p))/(N) } } where

  • p(s) is the sample proportion of authors who support the publishing system ((72)/(104) ≈0.692)
  • p is the proportion assumed under null hypothesis. (0.67)
  • N is the sample size (104)

Then z=\frac{0.692-0.67}{\sqrt{(0.67*0.33)/(104) } } ≈ 0.477

p-value of test statistic is ≈0.317

Assuming a significance level 0.05, since 0.317>0.05 we fail to reject the null hypothesis.

p-value 0.317 is the probability that the sample is drawn from the distribution assumed under null hypothesis, that is where the proportion of authors supporting the new publishing system is at most 0.67

Final answer:

A hypothesis test for a proportion is used to determine whether more than two-thirds of authors support continuing the system. The p-value associated with the test is less than 0.0001, indicating that the data provide good evidence in favor of the alternative hypothesis. Therefore, the majority of authors support continuing the system.

Explanation:

To determine whether the data provides evidence that more than two-thirds (67%) of authors support continuing the system, we can use a hypothesis test for a proportion. We will use a significance level of 0.05.

Let's set up our hypotheses:

  • Null hypothesis (H0): p ≤ 0.67 (less than or equal to two-thirds support)
  • Alternative hypothesis (Ha): p > 0.67 (more than two-thirds support)

Using the normal approximation to the binomial, we can calculate the test statistic and p-value. With a sample size of 104 and 72 authors in favor, the test statistic is:

z = (72 - 0.67 * 104) / sqrt(0.67 * (1 - 0.67) * 104) ≈ 3.79

The p-value associated with a z-score of 3.79 is less than 0.0001. Since this p-value is less than 0.05, we reject the null hypothesis.

Therefore, the data provide good evidence that more than two-thirds of authors support continuing the system.

Learn more about Hypothesis testing here:

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