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1 year ago

Find the slope of the line that passes through (3, 5) and (100, 98).

Mathematics

2 answers:

Otrada [13]1 year ago

8 0

93/97

Decimal Answer : 0.958763

Elena L [17]1 year ago

6 0

Answer:

first you need to use the y1, y2 and x1, x2 method to find the slope that gets you 93 over 97 or just 93/97

Step-by-step explanation:

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In Nancy's class, 11/18 of the girls have brown eyes, 2/9 of the girls have blue eyes, and 1/6 of the girls have hazel eyes. Wha

alukav5142 [94]

It would be: 11/18 - 1/6

= 11 - 3 / 18

= 8/18

= 4/9

In short, Your Answer would be Option D

Hope this helps!

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2 years ago

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A teacher randomly chooses a two-person leadership team from a group of four qualified students. Three of the students, Sandra,

nata0808 [166]

Answer:

What is P(A), the probability that the first student is a girl? (3/4)

What is P(A), the probability that the first student is a girl? (3/4)What is P(B), the probability that the second student is a girl? (3/4)

What is P(A), the probability that the first student is a girl? (3/4)What is P(B), the probability that the second student is a girl? (3/4)What is P(A and B), the probability that the first student is a girl and the second student is a girl? (1/2)

The probability that the first student is a girl is (3/4), likewise for the 2nd 3rd and 4th it's still (3/4). The order you pick them doesn't matter.

However, once you're looking at P(A and B) then you're fixing the first position and saying if the first student is a girl what's the probability of the second student being a girl.

3 0

3 years ago

For an angle Θ with the point (12, −5) on its terminating side, what is the value of cosine?

Pachacha [2.7K]

Given that the point (12,-5) which takes the form (x,y), This implies that:
opposite=-5
adjacent=12
thus using using Pythagorean theorem, the hypotenuse will be:
c^2=a^2+b^2
plugging the values we obtain:
c^2=(12)^2+(-5)^2
c^2=144+15
c^2=169
thus
c=13
but
cos θ=adjacent/ hypotenuse
therefore:
cos θ=12/13

Answer is option . D

5 0

2 years ago

How do you reduce ln(3^-e e^3) to simplest form

leva [86]

The logarithm of a product is equal to the sum of logarithms:

$\ln(3^{-e}e^3)=\ln3^{-e}+\ln e^3$

Drop the exponents:

$-e\ln3+3\ln e$

The logarithm of a number is equal to 1 if the base of the logarithm is the same as the number itself:

$-e\ln3+3$

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2 years ago

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

Svetllana [295]

Answer:

a) E(X) = 71

b) V(X) = 20.59

Sigma = 4.538

Step-by-step explanation:

The question is incomplete:

According to a 2010 study conducted by the Toronto-based social media analytics firm Sysomos, 71% of all tweets get no reaction. That is, these are tweets that are not replied to or retweeted (Sysomos website, January 5, 2015).

Suppose we randomly select 100 tweets.

a) What is the expected number of these tweets with no reaction?

b) What are the variance and standard deviation for the number of these tweets with no reaction?

This can be modeled with the binomial distribution, with sample size n=100 and p=0.71, as the probability of no reaction for each individual tweet.

The expected number of these tweets with no reaction can be calcualted as the mean of the binomial random variable with these parameters:

$E(X)=n\cdot p=100\cdot 0.71=71$

The variance for the number of these tweets with no reaction can be calculated as the variance of the binomial distribution:

$V(X)=np(1-p)=100\cdot0.71\cdot0.29=20.59$

Then, the standard deviation becomes:

$\sigma=\sqrt{V(X}=\sqrt{20.59}=4.538$

5 0

2 years ago