5.
5. Kara is zip-lining in the rainforest. She is standing at the top of Platform A
ready to zip-line to Platform B. If the horizontal distance between the
platforms is 500 feet and the length of the zip-line is 685 feet, find the
angle of depression from Platform Ato Platform B to the nearest tenth.

Answer:

The decision rule is

Fail to reject the null hypothesis

The conclusion is  

There is no sufficient evidence to conclude that the mean CPA of all students who vote is lower than the CPA of students who do not vote

Step-by-step explanation:

From the question we are told that

       The first sample size  is  [tex]n_1 =  114[/tex]

       The sample mean is  [tex]\= x_1 =  2.71[/tex]

       The standard deviation is  [tex]s_1 =  0.64[/tex]

      The second sample size is   [tex]n_2 =  123 [/tex]

      The sample mean is   [tex]\= x_2 =  2.79[/tex]

      The level of significance is  [tex]\alpha  =  0.05[/tex]

      The standard deviation is   [tex]s_2 =  0.56 [/tex]

The null hypothesis is  [tex]H_o  :  \mu_1 = \mu _2[/tex]

The alternative hypothesis is  [tex]H_a :  \mu_1 <  \mu_2[/tex]

Generally the test hypothesis is mathematically represented as

      [tex]t =  \frac{\= x_1 - \= x_2}{ \sqrt{ \frac{s_1^2 }{n_1} + \frac{s_2^2}{n_2}  } }[/tex]

=> [tex]t =  \frac{2.71 - 2.79}{ \sqrt{ \frac{0.64^2 }{ 114} + \frac{0.56^2}{123}  } }[/tex]

=> [tex]t =  -1.01 [/tex]

Generally given that variance are not equal (the standard deviation  squared of both population are not equal ) the degree of freedom  is mathematically represented as

[tex]df  =  \frac{[\frac{s_1^2}{n_1 } + \frac{s_2^2}{n_2}  ]}{\frac{[\frac{s_1^2}{n_1}]^2 }{n_1 - 1} + \frac{[\frac{s_2^2}{n_2}]^2 }{n_2 - 1}}[/tex]

=>  [tex]df  =  \frac{[\frac{0.64^2}{114} + \frac{0.56^2}{123}  ]}{\frac{[\frac{0.64^2}{114}]^2 }{114 - 1} + \frac{[\frac{0.56^2}{123}]^2 }{123 - 1}}[/tex]

=>  [tex]df  =  225[/tex]

Generally from the t distribution table the the probability of  (t < -1.01) at a degree of freedom of [tex]df  =  225[/tex]is  

      [tex] p-value  = P(t <  -1.01 ) =  0.15679[/tex]

Generally the value obtained we see that  [tex]p-value  > \alpha[/tex] so

The decision rule is

Fail to reject the null hypothesis

The conclusion is  

There is no sufficient evidence to conclude that the mean CPA of all students who vote is lower than the CPA of students who do not vote

Answer:

23

Step-by-step explanation:

Answer:

The new mean should be 23.

Step-by-step explanation:

The mean of a group of numbers is the average.

We can find the average of a group of numbers by adding them all together and then dividing the final sum by the amount of numbers in the list.

All the numbers added together totaled to 161, and 161 divided by 7 equals 23.

Hope this helps!

Answer:

hundredths --> 6

thousandths value --> 0.006

Step-by-step explanation:

hundredths is the value two places to the right of the decimal point, which is currently 6.

The value of the digit in the thousandths place, which is 3 places to the right of the decimal place, is 6, but the value of the 6 is actually 0.006, because it is in the thousandths place, just like 700 would be the value of the digit in the hundreds place.

Answer:

ok

Step-by-step explanation:

                                                              ...............................................................

Answer:

I can't relly see can you take a cloeser pick

Answer:

98 + 99 + 100 = 297

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

12 only

Step-by-step explanation:

It means x is zero, and the only point on x=0 is 12 :)

According to the graph the function  f(0) is  12 only .

The x-intercept is the point where a line crosses the x-axis or at y = 0, and the y-intercept is the point where a line crosses the y-axis or at x =0.

According to the question

The graph shows the function in which

f(0) is

i.e

x = 0  or y intercept

Now, according to the graph

at x = 0 , y = 12

Or

f(0) = 12

Hence, The function  f(0) is  12 only .

To know more about intercepts here:

https://brainly.com/question/14180189

#SPJ3

Answer:

x=3

Step-by-step explanation:

Hope this helps u..

Answer:

5,129

Step-by-step explanation:

Answer:

C. 5129

Step-by-step explanation:

5.129 x [tex]10^{3}[/tex]

you will move the decimal to the right 3 times.

Answer:

The 3 in the tens place is worth 10 times the 3 in the ones places.

Step-by-step explanation:

Have a great day :)

Answer:

12 meters

Step-by-step explanation:

Given

[tex]Scale= 1cm:2m[/tex]

Required

Determine the measurement when the scale reads 6cm

Represent this scale with x;

Such that:

[tex]Scale = 6cm:x[/tex]

Equate

[tex]Scale= 1cm:2m[/tex] and [tex]Scale = 6cm:x[/tex]

[tex]1cm:2m = 6cm:x[/tex]

Express as fraction

[tex]\frac{1cm}{2m} = \frac{6cm}{x}[/tex]

Cross Multiply

[tex]x * 1cm = 6cm * 2m[/tex]

[tex]x * 1 = 6 * 2m[/tex]

[tex]x = 6 * 2m[/tex]

[tex]x = 12m[/tex]

Answer:

Part A) -3, 4 Part C) 12 i think

Step-by-step explanation:

Answer:

Part A-(3,4)

Part B- 2 units

Step-by-step explanation:

Part A- (x,y)--->(-x,y)

Answer:

63:42

so this is

3:2

[tex] \frac{33}{3} = \frac{v}{2} [/tex]

[tex]v = \frac{2 \times 33}{3} = \frac{66}{3} = 22[/tex]

v=22

The value of v should be considered as the 22 when the Triangle BIG is similar to triangle MOP.

Since as per both the figures we can write the ratio like  63:42 so it can be like 3:2

So the calculation could be done below

[tex]33 \div 3 = v \div 2\\\\v = 2 \times 33 \div 3\\\\= 66 \div 3[/tex]

= 22

Hence, The value of v should be considered as the 22 when the Triangle BIG is similar to triangle MOP.

Learn more about triangle here: https://brainly.com/question/9721655

Answer:

ohh

Step-by-step explanation:

Answer:

the second one -3and1 :4x and 7x

Step-by-step explanation:

Answer:

-3 and -1; 4x and 7x

Step-by-step explanation:

like terms are the numbers with the same variable

eg. 4x^2 and 6x aren't like terms, but 2x^4 and 3x^4 are

Complete Question:

Determine whether the statement is true or false. If it is false, provide an explanation or give an example.

If f is decreasing on [a,b] then the minimum value of f(x) on [a,b] is f(a)?

Answer:

False

Step-by-step explanation:

Given

[a,b]

Where f(x) is decreasing

Required

Is the minimum f(a)?

This statement is false and it is proved using the following illustration

Take f(x) to be

[tex]f(x) = -2x[/tex]

The above represents a decreasing function because:

f(x) decreases as x increases

Having said that:

Assume [a,b] is:

[tex][a,b] = [2,5][/tex]

Substitute the value of a i.e. 2 for x in f(x)

[tex]f(2) = -2 * 2[/tex]

[tex]f(2) = -4[/tex]

Substitute the value of b i.e. 5 for x in f(x)

[tex]f(5) = -2 * 5[/tex]

[tex]f(5) = -10[/tex]

Notice that f(b) < f(a) i.e. -10 is less than -4

Hence:

f(x) is minimum at f(b)

Conclusively, the statement is false

Answer:

Hypothesis

Step-by-step explanation:

 a polygon has five sides Conclusion: it is a pentagon If a polygon has five sides, then it is a pentagon.

hope this helps

Answer:

Step-by-step explanation:

x-7=18 because x would be the number with "7 less"  being the "-7."

Answer:

1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

I hope this helps!

Answer:

1 goes to n-7

2 goes to n+7

3 goes to 7n

4 goes to n/7

Step-by-step explanation:

Answer:

± 25

Step-by-step explanation:

Answer:

They are called powers of ten

Step-by-step explanation:

Answer:

0.7% of 77 = 0.54 0.7%

Step-by-step explanation:

hope this helps

Answer:

Yes, [tex]2a . 38b = 4a . 19b[/tex]

Step-by-step explanation:

Given

[tex]Expression: 2a.38b[/tex]

Required

Is 4a a factor of the expression?

Analyzing each option.

1.

[tex]2a . 38b = 4a . 19b[/tex]

[tex]76ab = 76ab[/tex]

The above expression is true.

Hence: This option answers the question

Answer: C. 13/6

Step-by-step explanation:

The slope is always rise over run. So when going from the coordinate (-5,-7) to the coordinate (1,6) we go up 13 then go to the right 6. And since we went up and to the right it is a positive slope.

Answer: 4413.5

Step-by-step explanation:

4413.47142 if you need to be exact

Answer:

75  14  12,600  781  128  399  26.13  40.80    12,750

Step-by-step explanation:

Hope this helps

Answer:

7. 100

8. 14

9. 12600

10. 639

11. 128

12. 399

13. Discount price= 12.87 Sale price= 26.13

14. 40.80

15. 12,750

I'm not 100% on #15 but the rest are good.

Step-by-step explanation: When you multiply the percent by the other number that gives you the difference. So then get the original number and either add or subtract the difference from the original number to get your answer. Add if increase Subtract if decrease.

So 7-11 you just have to multiply the percent by the other number.

7. 25*300% or 25*3 = 75  25 + 75 = 100

8. 56*.75 = 42  56-42= 14

9. 12000*.05 = 600 (since it is an increase add 600 to 12000) = 12600

10. 710*.10= 71 (71 is the difference so do this) 710-71= 639

11. 160*.20 = 32 (decrease) 160-32= 128

12. 380*.05=19 (increase) 380+19 = 399

13. 39*.33= 12.87 (decrease)

Discount price = 12.87

Sale price= 39-12.87= 26.13

14. 48*.15 = 7.20 (decrease) 48-7.20= 40.80

15. 3,000*3.25 = 9750 (increase) 9750 + 3000= 12,750

Answer:

b

Step-by-step explanation: