Answer:
Do not reject H0. The mean days surfed for longboarders is significantly larger than the mean days surfed for all shortboarders
Step-by-step explanation:
The null hypothesis is that the mean days surfed for all long boarders is larger than the mean days surfed for all short boarders
H0: μL > μs against the claim Ha: μL≤ μs
the alternate hypothesis is the mean days surfed for all long boarders isless or equal to the mean days surfed for all short boarders (because long boards can go out in many different surfing conditions)
The test statistic is
t= x1- x2/ √s1/n1+ s2/n2
1) Calculations
Longboards
Mean
ˉx=∑x/n=4+8+9+4+9+7+9+6+6+11+15+13+16+12+10+12+18+20+15+10+15+19+21+9+22+19+23+13+12+10/30
=377/30
=12.5667
Longboard Variance S2=[∑dx²-(∑dx)²/n]/n-1
=[831-(-13)²/30]/29
=831-5.6333/29
=825.3667/29
=28.4609
Shortboard Mean
ˉx=∑x/n=6+4+6+6+7+7+7+10+4+6+7+5+8+9+4+15+13+9+12+11+12+13+9+11+13+15+9+19+20+11/30
=288/30
=9.6
Shortboard Variance S2=[∑x²-(∑x)²/n]/n-1
=[ 3270-(288)2/30]/29
=3270-2764.8/29
=505.2/29
=17.4207
2) Putting values in the test statistic
t=|x1-x2|/√S²1/n1+S²2/n2
t =|12.5667-9.6|/√28.4609/30+17.4207/30
t =|2.9667|/√0.9487+0.5807
t=|2.9667|/√1.5294
t=|2.9667|/1.2367
t=2.3989
3) Degree of freedom =n1+n2-2=30+30-2=58
4) The critical region is t ≤ t(0.05) (58) =1.6716
5) Since the calculated t= 2.4 does not fall in the critical region t(0.05) (58) ≤ 1.6716 we do not reject H0.
The p-value is 0.008969. The result is significant at p <0 .05.
What fraction of her team's total points did Cynthia score?
Answer: 5/6
Step-by-step explanation:
because if you get velocity and multiply it by the term which is 5/12 you half the denominator.
What is the measure of angle 7?
56
84
96
124
Answer:
you need more information to answer this, it's either 84 or 56 since it's in acute angle. looks closer to 84
Complete the square to find
the vertex of this parabola.
x2 - 6x – y + 17 = 0
Answer:
(3, 8)
Step-by-step explanation:
x² - 6x - y + 17 = 0
x² - 6x = y - 17
x² - 6x + 9 = y - 17 + 9
(x - 3)² = y - 8
The vertex is (3, 8)
The vertex of the parabola given by the equation x² - 6x - y + 17 = 0 is (3, 8).
To complete the square and find the vertex of the parabola given by the equation x² - 6x - y + 17 = 0, we can follow these steps:
1. Rearrange the equation: Move the constant term (17) to the other side of the equation by subtracting it from both sides. This gives us x² - 6x - y = -17.
2. Group the x-terms together: Rearrange the equation so that the x-terms are next to each other. This gives us x² - 6x = y - 17.
3. Complete the square: Take half of the coefficient of x (-6) and square it. Add this value to both sides of the equation. Half of -6 is -3, and (-3)² is 9. So we add 9 to both sides: x² - 6x + 9 = y - 17 + 9.
4. Simplify the equation: On the left side, the expression x² - 6x + 9 can be factored as (x - 3)². On the right side, -17 + 9 simplifies to -8. So the equation becomes (x - 3)² = y - 8.
5. Rewrite the equation in vertex form: The vertex form of a parabola is (x - h)² = 4p(y - k), where (h, k) represents the vertex of the parabola. Comparing this with our equation, we have (x - 3)² = y - 8, which matches the vertex form.
6. Identify the vertex: By comparing the equations, we can see that the vertex of the parabola is at the point (h, k) = (3, 8).
Therefore, by completing the square, we have found that the vertex of the parabola given by the equation x² - 6x - y + 17 = 0 is (3, 8).
To learn more about parabolas;
https://brainly.com/question/21685473
#SPJ4
The following graph describes function 1, and the equation below it describes function 2. Determine which function has a greater maximum value, and provide the ordered pair.
Function 1 graph of function f of x equals negative x squared plus 8 multiplied by x minus 15 Function 2 f(x) = −x2 + 2x − 3
Function 1 has the larger maximum at (1, 4).
Function 1 has the larger maximum at (4, 1). Function 2 has the larger maximum at (1, −2).
Function 2 has the larger maximum at (−2, 1).
Answer:
A.) Function one has a larger maximum at (4,1)
Step-by-step explanation:
The function f(x) = -x² + 8x - 15 will have larger maximum at ( 4,1 ) so option (B) will be correct.
What is a function?
A certain kind of relationship called a function binds inputs to essentially one output.
In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.
A function can be regarded as a computer, which is helpful.
Given 1 function,
f(x) = -x² + 8x - 15
f(x) = -(x² - 8x + 15 )
f(x) = - [(x - 4)² - 16 + 15 ]
f(x) = -(x-4)² + 1
So vertex will at ( 4,1 )
In function 2,
f(x) = −x² + 2x − 3
f(x) = - [ x² - 2x + 3 ]
f(x) = -[ (x-1)² - 1 + 3 ]
f(x) = - (x-1)² - 2
So vertex will at ( 1, -2 )
Since in function(1) maximum is at y = 1 while in function (2) maximus is at y = -2
Hence Function 1 has the larger maximum at (4, 1).
For more about the function
brainly.com/question/23712366
#SPJ5
A support wire is being attached to a telephone pole as shown in the
diagram. To the nearest foot, how long does the wire need to be?
the answer is 4.565 JF$OFB#$UF
Can you hellllllllllllllpppppppppp
Answer: ( 1.5, -3)
Step-by-step explanation:
You need to just look at the x and y axis and you see that the x axis is at 1.5 and the y axis is at -3.
what its 600+600 pls help
Answer:
1200 hope this help you! ;)
A popcorn cup is in the shape of a cone. The slant height of the cone is 9 inches, and the diameter is 6.2 inches. What is the volume of the cone? Use pi equals 3.14.
Answer:
V = 262.61 m³
Step-by-step explanation:
Given: Slant height of the cone is 9 inches, the diameter is 6.2 inches.
Formula: The formula for the volume of a cone is V = 1/3hπr².
Solve: V = 262.610935 m³
The circle graph shows how Tremaine divided his time on the computer last week. Tremaine used the computer a total of 30 hours last week. How many more hours did Tremaine use the computer to play games than to do research?
A) 20 hours
B) 6 hours
C) 1.5 hours
D) 7.5 hours
Answer:
A) 20 hours
Step-by-step explanation:
:>>>
25-5=20
A crowd-sourced review platform believes that more and more customers are writing reviews online. The crowd-sourced review platform would like to test the claim that the percent of customers who leave a review online is greater than 72%. They decide to complete a hypothesis test at a 1% significance level. They sample 30 customers, and determine the sample percent to be 90%. The following is the data from this study: Sample size =30 customers Sample proportion =0.90 Identify the null and alternative hypothesis for this study by filling in the blanks with the correct symbol (=,≠,<, or > to represent the correct hypothesis.)
Answer:
H0 : P = 0.72
H1 : P > 0.72
Step-by-step explanation:
Claim is to test that percentage of customers who leave a review is greater than 72%
From the information given :
P0 = 72/100 = 0.72
The null hypothesis, H0 : P = 0.72
Alternative hypothesis claims the proportion is greater than 0.72 and from the sampling result obtained, phat = 0.90
Hence,
Alternative hypothesis, H1 : P > 0.72
1. −5tan 2 θ+3=8tanθ+6
2. 2cosθ-3=5cosθ-5
Answer
(tan x + 3)=5
Step-by-step explanation:
IF A FUNCTION f(x) is defined AS 5x^2-3x+3, what is the expression for
Answer: C. 10x-3
Step-by-step explanation: I got this question correct on Edmentum.
The value of the expression will be 10x – 3. Then the correct option is C.
What is the limit?The value that approaches the output for the given input value. Limits are a very important tool in calculus.
The function is defined as,
f(x) = 5x² – 3x + 2
Then the value of the expression will be
[tex]\rightarrow \displaystyle \lim_{h \to 0} \dfrac{f(x+h)-f(x)}{h}[/tex]
Substitute the value of the function, then the value of the expression will be
[tex]\rightarrow \displaystyle \lim_{h \to 0} \dfrac{5(x+h)^2 - 3(x + h) + 3- 5x^2 + 3x - 3}{h}\\\\\\\rightarrow \displaystyle \lim_{h \to 0} \dfrac{5x^2 + 5h^2 + 10xh - 3x - 3h + 3- 5x^2 + 3x - 3}{h}\\\\\\\rightarrow \displaystyle \lim_{h \to 0} \dfrac{ 5h^2 + 10xh - 3h }{h}\\[/tex]
Simplify the equation further, then we have
[tex]\rightarrow \displaystyle \lim_{h \to 0} 5h + 10x - 3 \\[/tex]
Substitute the value of the h = 0, then the value of the expression will be
⇒ 5(0) + 10x – 3
⇒ 10x – 3
Then the correct option is C.
More about the limit link is given below.
https://brainly.com/question/8533149
#SPJ2
CAN SOMEONE HELP ME PLEASE !!
Answer:
A
Step-by-step explanation:
please simplify -3 x 8 x n
Answer:
- 24n
Step-by-step explanation:
- 3 × 8 × n
- 24 × n
- 24n
A data set is normally distributed with a mean of 25 and a standard deviation of 1.
Using the Empirical Rule, what percent of the data is greater than 26?
Group of answer choices
34%
16%
13.5%
23%
An elephant can travel 30 km in 2 hours. How fast is the elephant moving?
PLEASE HELP!! Given the diagram below, find the dimensions of the rectangle if the area is 128 square feet. What is the X=? Width=? Length=?
Helppppppppppppppppppppppppppp
Answer:
126 [tex]m^{2}[/tex]
Step-by-step explanation:
2. [5pts] The Pew Research Group conducted a poll in which they asked, "Are you in favor of, or opposed to, executing persons as a general policy when the crime committed while under the age of 18?" Of the 580 Catholics surveyed, 180 indicated they favored capital punishment; of the 600 seculars surveyed, 238 favored capital punishment. Is there a significant difference in the proportion of individuals in these groups in favor of capital punishment for persons under the age of 18? Use the ???? = 0.01 level of significance. Show all work.
Answer:
See below for answers and explanations
Step-by-step explanation:
Here, we are comparing two proportions of a large sample size. Therefore, conducting a 2-proportion z-test is appropriate. Conditions are already assumed, so we can conduct the test.
We are testing our null and alternate hypotheses which are:
H: p1=p2 (there is no difference)
Ha: p1≠p2 (there is a difference)
Given:
x1=180
n1=580
x2=238
n2=600
p1=180/580=0.31
p2=238/600=0.4
p=(180+238)/(580+600)=418/1180=0.35
Use the formula to calculate the z-statistic:
[tex]Z=\frac{p_1-p_2}{\sqrt{p(1-p)(\frac{1}{n_1}+\frac{1}{n_2})}}[/tex]
[tex]Z=\frac{0.31-0.4}{\sqrt{0.35(1-0.35)(\frac{1}{580}+\frac{1}{600})}}[/tex]
[tex]Z=-3.24[/tex]
Calculate p-value (note that this is two-sided):
1) normalcdf(-1e99,-3.24)=5.977105194*10^-4
2) Since this is a two-sided test, we double it to get p=0.001195421
Conclusion: Since 0.0012<0.05, we reject the null hypothesis and conclude that there is a significant difference in the proportion of individuals in these groups in favor of capital punishment for persons under the age of 18 because our p-value is extremely low.
Help Plis.........................
Answer: Herba has a greater balance and Nour has more debt.
Step-by-step explanation: Herba's account balance is a positive number and is clearly greater than Nour's account balance; therefore, Herba has a much greater balance. On the other hand, Nour's account balance is a negative number and is clearly less than Herba's; therefore, Hour is in more debt since he has to pay back the money that he borrowed.
Can anyone help me, please?
Answer:
So first plot the points then move it the way ( x-3, y-4)
remember for the x axis you slide left to right and we know that left is negative so you would go left 3 times and for y you would go down 4 times do it for each point.
HE 5 2. Jimmie bought 7/8 pound of candy. He ate 3/8 pound. How much of the candy is left?
Answer:
4/8
Step-by-step explanation:
7/8 - 3/8 = 4/8
I need help please tell the right answer
Answer: 47.6 is your answer hope this helped
plz make brainly
Step-by-step explanation:
Answer:
36 - 4
Step-by-step explanation:
(6x - 2)(6x + 2)
= (6x)(6x) + (6x)(-2) + (2)(6x) + (-2)(2)
= 36 - 12x + 12x - 4
= 36 - 4Step-by-step explanation:
This is another question:) PLEASE HELP!!!
Answer:
The Answer is your mom! :)
Step-by-step explanation:
Which of these equations shows a proportional relationship between x and y
F. y=-1/3x
G. y=-x+1
H. y=3/2x+3/2
J. y=2x-4
Answer:
it is H any help I'm glad to help
Is 7/10 a simplest form
Answer:
710
Step-by-step explanation:
Detailed Answer: The fraction 710 is already in the simplest form, so it isn't possible to reduce it any further.
A right triangle has a height of 18 inches and a base of 12 inches. Find the area of the triangle in square inches. Enter only the number. The solution is
Answer:
A=108in^2
Step-by-step explanation:
The area of a triangle is given by:
[tex]a = \frac{b \times h}{2} [/tex]
So,
[tex]a = \frac{12 \times 18}{2} = 108 \: {in}^{2} [/tex]
HELP M,E PLEASE ILL GIVE YOU BRAINLIEST
;
=
Answer:
Step-by-step explanation: sure i could help you what type is it im a fresh man but im learning softmore stuff
help me please! i’m giving brainliest. :)
Answer:
1,814,000 mg
Step-by-step explanation:
1 kg = 1,000 g
1 g = 1000 mg
1 kg + 814 g = 1,814 g
1,814(1000) = 1,814,000 mg
HELP
Mrs. Tate's car has 11.25 gallons of gas in the tank and uses 0.05 gallons per mile. If Mrs. Tate uses 2.75 gallons driving home from visiting family, which of the following best describes all possible numbers of miles (m) she can drive after returning home before running out of gas?
A.
m > 170
B.
m < 170
C.
m < 280
D.
m > 280
Answer:
B
Step-by-step explanation:
11.25-2.75 = 8.5
8.5/.05 = 170
Answer:
Step-by-step explanation:
170