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Murrr4er [49]
3 years ago
11

The table shows the number of visitors y (in thousands of people) an amusement park has had each year over x years. Use a graphi

ng calculator to find an equation of the line of best fit. Round the slope and y-intercept to the nearest hundredth. Then identify and interpret the correlation coefficient.

Mathematics
1 answer:
DENIUS [597]3 years ago
3 0

Answer:

The equation of the line of best fit is: y = -2.33x + 591.78

The correlation coefficient is: -0.99

There is a strong negative correlation

Step-by-step explanation:

The negative correlation is seen in the sign of the correlation coefficient, which is negative.

The correlation is strong because the absolute value of the correlation coefficient (0.99) is near to one

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Thx so much 8th grade math is so hard and I’m stuck on like ever question I get
8 0
3 years ago
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What is the measure of angle QRS in this figure
lesya692 [45]

Answer:

C. 132°

Step-by-step explanation:

Based on exterior angle theorem,

(20x + 12) = (9x) + (13x)

Solve for x

20x + 12 = 9x + 13x

20x + 12 = 22x

Subtract 20x from each side

12 = 22x - 20x

12 = 2x

Divide both sides by 2

12/2 = x

x = 6

m<QRS = 20x + 12

Plug in the value of x

m<QRS = 20(6) + 12 = 120 + 12

m<QRS = 132°

8 0
3 years ago
75c- 300 - 35 c =25c + 15c + 200
GarryVolchara [31]

Answer:

False

Step-by-step explanation:

40c - 300 = 40c + 200

-300 = 200

false

4 0
3 years ago
If θ is an angle in standard position that terminates in Quadrant III such that tanθ = 5/12, then sinθ/2 = _____
babunello [35]

Answer:

sin θ/2=5√26/26=0.196

Step-by-step explanation:

θ ∈(π,3π/2)

such that

θ/2 ∈(π/2,3π/4)

As a result,

0<sin θ/2<1, and

-1<cos θ/2<0

tan θ/2=sin  θ/2/cos θ/2

such that

tan θ/2<0

Let

t=tan θ/2

t<0

By the double angle identity for tangents

2 tan θ/2/1-(tanθ /2)^2  = tanθ

2t/1-t^2=5/12

24t=5 - 5t^2

Solve this quadratic equation for t :

t1=1/5 and

t2= -5

Discard t1 because t is not smaller than 0

Let s= sin θ/2

0<s<1.

By the definition of tangents.

tan θ/2= sin θ/2/ cos θ/2

Apply the Pythagorean Algorithm to express the cosine of θ/2 in terms of s. Note the cos θ/2 is expected to be smaller than zero.

cos θ/2 = -√1-(sin θ/2)^2 = - √1-s^2

Solve for s.

s/-√1-s^2 = -5

s^2=25(1-s^2)

s=√25/26 = 5√26/26

Therefore

sin θ/2=5√26/26=0.196....

7 0
4 years ago
A survey​ asked, "How many tattoos do you currently have on your​ body?" Of the 1221 males​ surveyed, 193 responded that they ha
mote1985 [20]

Answer:

Step-by-step explanation:

Given that a survey​ asked, "How many tattoos do you currently have on your​ body?" Of the 1221 males​ surveyed, 193 responded that they had at least one tattoo. Of the 1005 females​ surveyed, 130 responded that they had at least one tattoo.

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(two tailed test at 1% significance level)

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Margin of error = 2.58*std error

= 0.0387

99% confidence interval =

(0.029-0.0387, 0.029+0.0387)\\=(-0.0097, 0.0677)

Since this confidence interval contains 0 for difference in proporiton we can say that H0 is true.

We are 99% confidence that for samples randomly drawn for large sizes, the males and females have approximately the same proportion.

3 0
3 years ago
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