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2 years ago

What is the slope of a line that contains the points(-13,8) and (-2,-1)

Mathematics

1 answer:

anygoal [31]2 years ago

7 0

Answer:

slope = -(9/11)

Step-by-step explanation:

$slope=\frac{-1-8}{-2-(-13)} =\frac{-9}{-2+13} =-\frac{9}{11}$

I hope this help you

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The petronas towers in Kuala Lumpur, Malaysia, are 452 meters tall. A woman who is 1.75 meters tall stands 120 meters from the b

bazaltina [42]

Answer:

$75.1^{\circ}$

Step-by-step explanation:

In this problem, we have:

H = 452 m is the height of the Petronas tower

h = 1.75 m is the height of the woman

d = 120 m is the distance between the woman and the base of the tower

First of all, we notice that we want to find the angle of elevation between the woman's hat the top of the tower; this means that we have consider the difference between the height of the tower and the height of the woman, so

$H' = H-h = 452-1.75=450.25 m$

Now we notice that $d$ and $H'$ are the two sides of a right triangle, in which the angle of elevation is $\theta$ . Therefore, we can write the following relationship:

$tan \theta = \frac{H'}{d}$

since

H' represents the side of the triangle opposite to $\theta$

d represents the side of the triangle adjacent to $\theta$

Solving the equation for $\theta$ , we find the angle of elevation:

$\theta = tan^{-1}(\frac{H'}{d})=tan^{-1}(\frac{450.25}{120})=75.1^{\circ}$

3 0

2 years ago

A study found that a 95% confidence interval for the mean μ of a particular population was computed from a random sample of 1200

kotykmax [81]

Answer:

95% confidence interval for the mean μ is (6,14)

The Population mean μ lies between ( 6, 14 )

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Given random sample 'n' = 1200

95% confidence interval for the mean μ is determined by

$(x^{-} -Z_{\alpha } \frac{S.D}{\sqrt{n} } , x^{-} +Z_{\alpha } \frac{S.D}{\sqrt{n} } )$

Level of significance = 95% 0r 0.05

Z₀.₀₅ = 1.96

$(x^{-} -Z_{\alpha } \frac{S.D}{\sqrt{n} } , x^{-} +Z_{\alpha } \frac{S.D}{\sqrt{n} } )$ = 10 ± 4

Mean of the small sample = 10

95% of confidence intervals are

( 10 ±4 )

( 10 -4 , 10+4)

( 6 , 14 )

95% confidence interval for the mean μ lies between ( 6, 14 )

8 0

2 years ago

Convert the Cartesian equation x - 5 = 0 to a polar equation.

mylen [45]

Answer:

r = 5sec(θ)

Step-by-step explanation:

The usual conversion is ...

y = r·sin(θ)

x = r·cos(θ)

The second of these can be used here.

r·cos(θ) -5 = 0

r·cos(θ) = 5

r = 5/cos(θ) = 5sec(θ)

A suitable polar equation is ...

r = 5sec(θ)

5 0

2 years ago

The amount of time it takes Isabella to wait for the bus is continuous and uniformly distributed between 3 minutes and 17 minute

Arturiano [62]

Answer:

P(X>5) = 0.857

Step-by-step explanation:

Let X $\sim$ uniform(3.17)

$f(x) = \dfrac{1}{17-3} ; \ \ \ 3 \le x \le 17$

The required probability that it will take Isabella more than 5 minutes to wait for the bus can be computed as:

$P(X > 5) = \int ^{17}_{5} f(x) \ dx$

$P(X > 5) = \int ^{17}_{5} \dfrac{1}{17-3} \ dx$

$P(X > 5) =\dfrac{1}{14} \Big [x \Big ] ^{17}_{5}$

$P(X > 5) =\dfrac{1}{14} [17-5]$

$P(X > 5) =\dfrac{12}{14}$

P(X>5) = 0.857

6 0

2 years ago

Carl played a new video game 20 times and won 13 times. If he continues to win at the same rate, which proportion can Carl use t

Sati [7]

Answer:

Step-by-step explanation:

Do 150 divided by 20 which is 7.5 then do 13 x 7.5 which is 97.5 BUT you cant win 97.5 times do I believe that it would be 97 (if that's not an option, do 98)

8 0

2 years ago

What is the slope of a line that contains the points(-13,8) and (-2,-1)￼

What is the slope of a line that contains the points(-13,8) and (-2,-1)