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2 years ago

Conjecture: The difference between two negative numbers is always negative. Write a counterexample. *

Mathematics

1 answer:

Katen [24]2 years ago

4 0

If you add two negative numbers you get a sum that is less than both of the numbers. so -1+-2=-3

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Isabelle is planning a road trip to her friend's house. She looks at a map that has a scale of 1/2 in. to 25 mi. The road distan

Orlov [11]

1/2+1/2=1
2*12=24
d=24*25
d=600 miles
I believe I did it in my head so not entirely sure but I am heavily certain of my math

4 0

3 years ago

Read 2 more answers

According to a 2010 study conducted by the Toronto-based social media analytics firm Sysomos, 71% of all tweets get no reaction.

klemol [59]

Answer:

a) the expected number of tweets with no reaction is 71 tweets

b) the variance is 20.59 tweets² ( ≈ 21 tweets )and the standard deviation is

4.537 tweets (≈ 5 tweets)

Step-by-step explanation:

we can use the binomial probability distribution

P(x, N, p ) = N!/[(N-x)!x!] * p^x * (1-p)^(N-x)

where

x = number of successful events

N = population total

p = probability for success for every individual and independent event

P = probability for x successful events

in our case p = 71% = 71/100 (probability of a tweet without reaction) , N = 100 tweets

a) the expected number of tweets

E(x) = N* p = 100 tweets * 71/100 = 71 tweets

b) the variance is

V(x) = N * p * (1-p)

V = 100 * 71/100 * (1-71/100) = 71* 29/100 = 20.59 tweets² ( units of variance are [N²] )

the standard deviation is

s = √V = √20.59 tweets² = 4.537 tweets

6 0

3 years ago

Please help, I’ll mark your answer as brainliest!

statuscvo [17]

Answer:

$(x-230)^2+(y-220)^2=6100$

Step-by-step explanation:

The equation for a circle is $(x-h)^2+(y-k)^2=r^2$ , where $(h,k)$ is the vertex of the circle and $r$ is the radius. Immediately, since the center of the circle is given, we know what $h$ and $k$ are. $h$ is 230 and $k$ is 220.

The only thing we need to find is the radius, which will just be the distance from the center (230,220) to a point on the circumference (170,170). The distance between them can be calculated using the <u>distance formula</u>, which is really just the <u>Pythagorean Theorem</u> rearranged. The formula states that $d=\sqrt{x^2+y^2}$ , where $x$ is the change in the x-coordinates of the two points and $y$ is the change in the y-coordinates of the two points. Plug-in $x$ for 60 and $y$ for 50 to get $d=\sqrt{50^2+60^2}$ . Solve for $d$ , arriving at $\sqrt{6100}$ . Therefore, the radius of the circle is $\sqrt{6100}$ .

Finally, we have all of the components to create the equation of the circle. Plug-in 230 for $h$ , 220 for $k$ , and $\sqrt{6100}$ for $r$ .

The equation of the circle will be $(x-230)^2+(y-220)^2=6100$ .

Hope this helps :)

4 0

2 years ago

Do you think a polynomial can be a factor of another polynomial?

Vladimir [108]

Answer:

Yes

Step-by-step explanation:

Example

x+2 is a factor of 2x+4.

2(x+2) = 2x+4.

6 0

3 years ago

Aaron is taking a multiple choice test with a total of 20 points available. Each question is worth exactly 1 point. What would b

Ede4ka [16]

Let x represent number of wrong questions answered by Aaron.

We have been given that Aaron is taking a multiple choice test with a total of 20 points available. Each question is worth exactly 1 point. We are asked to find Aaron's score (out of 20) if he got 6 questions wrong.

To find Aaron's score, we will subtract number of wrong answers from total score.

$\text{Aaron's score}=\text{Total score}-\text{Number of wrong answers}$

$\text{Aaron's score}=20-6$

$\text{Aaron's score}=14$

Therefore, Aaron's test scores would be 14 out of 20.

To find Aaron's score if he got x questions wrong, we will subtract x from total scores that is $20-x$ .

Therefore, Aaron's score would be $20-x$ , if he got x questions wrong.

4 0

3 years ago