Listed below are annual data for various years. The data are weights(metric tons) of imported lemons and car crash fatality rates per 100,000 population. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using alpha (Ī±) =0.05 Is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates? Select all TRUE statements for the above hypothesis test from those given below.
Lemon_Imports_(x) Crash_Fatality_Rate_(y)
230 15.8
264 15.6
359 15.5
482 15.3
531 14.9
Reqiured:
a. What are the null and alternative hypotheses?
b. Construct a scatterplot.
c. The linear correlation coefficient r is: ________
d. The test statistic t is :__________
e. The P-value is :___________
Answer:
R = - 0.9453
T = - 5.019
Pvalue = 0.212
Step-by-step explanation:
Given the data:
Lemon_Imports_(x)
230
264
359
482
531
Crash_Fatality_Rate_(y):
15.8
15.6
15.5
15.3
14.9
The Correlation Coefficient, R using a correlation Coefficient calculator is - 0.9453 ; this depicts a strong negative correlation between the dependent and independent variable.
The test statistic, T :
T = r / √(1 - r²) / (n - 2)
T = -0.9453/ √(1 - (-0.9453)²) / (5 - 2)
T = - 0.9453 / 0.1883329
T = - 5.019
The Pvalue using a Pearson Pvalue calculator ;
df = n - 1 = 5 - 2 = 3 ; r = - 0.9453
Pvalue = 0.212
Consider the intersecting lines shown. Which of the following statements could you prove based on this?
A. ∠w ≅ ∠z
B. m∠x + m∠z = 180°
C. ∠x ≅ ∠z
D. m∠w + m∠y = 90°
Answer:
c
Step-by-step explanation:
trust
On a regional map, the scale shows that 2 cm on the map = 10 actual miles. The actual distance from Forest Hills to Plainville is 74 miles. How far apart are these cities on the map?
A.)5 cm
B.)7.4 cm
C.)8 cm
D).14.8 cm
Answer:
D
Step-by-step explanation:
if every 2 cm on the map=10 miles, I can use my basic knowledge to find out how many cm will equal 70, in this case I can multiply 7 on both sides to find out how many cm on the map will equal 70, so 2(7)cm=10(7)mi will result as 14cm=70mi. Even though the answer seems pretty clear I can round my answer closer to 2 or I can double check by dividing 74 by 10=7.4 times the 2 cm which gets me 14.8.
Evaluate m-+ (m + p) + 2t if m= 3,1 = 10, and p = 2.
(A) 3
(B) 48
(C) 12
(D) 6.693
Answer:
The answer is A.
Step-by-step explanation:
Put in all the numbers given to us:
m = 3
t = 10
p = 2
3-10^2/(3+2)+2*10 = 3
Hassan surveyed 120 of the students in his school about their favorite color. 114 students said their favorite color was purple. What percentage of the surveyed students said their favorite color was purple?
Answer:
95%
Step-by-step explanation:
Find the value of x.
43°
X
x = [?]°
HelpHELP HELP HELP HELP HELP ME DO ALL OF THEM
Answer:
1. Radius: 3 Diameter: 6 Circumference: 18.85 Area: 28.27
2. R: 6 D: 12 C: 37.7 A: 113.1
3. R: 9 D: 18 C: 56.55 A: 254.47
4. R: 2.4 D: 4.8 C: 15.08 A: 18.1
5. R: 3.5 D: 7 C: 21.99 A: 38.48
6. R: 7 D: 14 C: 43.98 A: 153.94
Step-by-step explanation:
Radius is half of diameter. Diameter is double radius. Circumference is 2 times pie times radius. Area is pie times radius squared.
Answer:
Look at the images.
If somebody keeps on trying to take something from you and u tell them to quit or youll punch them should u actually do it? first gets brainliest
Answer:
yes
Step-by-step explanation:
At the Dr. Kim's office, 4 out of
every 5 patients treated had the
flu. If Dr. Kim treated 25 patients,
how many of them had the flu?
Answer:
20 patients
Step-by-step explanation:
4/5 of 25 is 20
PLEASEE GIVE AN EXPLANATION TO THIS
Answer:
C.
Step-by-step explanation:
The numbers in the front will be the first number and the ones behind it will be the second number.
So the numbers are 79,82,82,83,86,90,91,93,94 and 97
Then you want to add the lowest number and the greatest number which is 79 and 97
equals to 176
3 m 3 m 3 m 3m 7 m Find the surface area of the object.
Answer:
123 m²
Step-by-step explanation:
Surface area of the object = surface area of the bigger rectangular prism + (surface area of the smaller rectangular prism - area of the smaller rectangular prism base)
Surface area of the bigger rectangular prism:
L = 7 m
W = 3 m
H = 3 m
S.A = 2(LW + WH + LH)
S.A = 2(7*3 + 3*3 + 7*3)
S.A = 102 m²
Surface area of the smaller rectangular prism:
L = 3 m
W = 3 m
H = 1 m
S.A = 2(LW + WH + LH)
S.A = 2(3*3 + 3*1 + 3*1)
S.A = 30 m²
Area of the base of the smaller rectangular prism = L*W
L = 3 m
W = 3 m
Area = 3*3 = 9 m²
Surface area of the object = 102 + (30 - 9)
= 102 + 21
= 123 m²
How to find Surface Area & Volume of Cylinder???
please help......
Answer:
A cylinder's volume is π r² h, and its surface area is 2π r h + 2π r².
Enter the x, y value in the text book below for the following table of values where the x value is 0
Answer:
[tex]\left[\begin{array}{ccc}x&y=3x+4&(x,y)&-2&-2=3(-2)+4&(-2,-2)\\0&4= 3(0) + 4&(0,4)\\2&10=3(2)+4&(2,10)\end{array}\right][/tex]
Step-by-step explanation:
i got confused so i j filled in the table. mark as brainliest please :)
A function assigns the values. The last column in the table is needed to be filled as (-2,2), (0,4), and (2,10), respectively.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given the value of x and the value of y is needed to be calculated using the function y=3x+4. Also, in the last column, the value of x and y is needed to be written in the form of a coordinate. Therefore, the value of y can be written as,
x=-2
y=3x+4
y=3(-2)+4
y = -2
x=0
y=3x+4
y=3(0)+4
y=4
x=2
y=3(2)+4
y=10
Hence, the last column in the table is needed to be filled as (-2,2), (0,4), and (2,10), respectively.
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(PLEASE HELP) (NO SPAM) Complete the special right tringale:
What is the length of (BD)?
What is the length of (BC)?
Answer:
Step-by-step explanation:
BD is opposite the 30° angle. The sine of 30° is 0.5. The sin of an angle in a right triangle is opposite/hypotenuse so BD = sin 30°x8.
Now you have two known lengths The third can be found by applying the Pythagorean theorem: BC²+BD²=CD², from which you can establish a numerical value for BC.
Make r the subject of x= e + r/d
Step-by-step explanation:
X=e+r/d
swap both sides
e+r/d=x
subtract e from both sides
e-e+r/d=x-e
r/d=x-e
multiply d to both sides
d×r/d=x-e×d
r=x-e×d
Dr. Gavin is conducting a 2 x 4 independent-groups factorial design. Assuming he wants 25 people in each cell, how many participants does Dr. Gavin need to recruit
Answer:
Dr. Gavin needs to recruit 200 participants.
Step-by-step explanation:
Dr. Gavin is conducting a 2 x 4 independent-groups factorial design.
This means that there will be 2*4 = 8 cells.
Assuming he wants 25 people in each cell, how many participants does Dr. Gavin need to recruit?
25 people in each cell, 8 cells. So
25*8 = 200
Dr. Gavin needs to recruit 200 participants.
Sierra walks her dog Pepper twice a day. Her evening walk is two and a half times as far as her morning walk. At the end of the week, she tells her mom, “I walked pepper for 30 miles this week! How long is her morning walk?
Answer:
(30*2)/49
Step-by-step explanation:
let her morning walk distance be x
her evening distance walk =2 1/2 x
= 5x/2
her daily walk distance =5x/2+x
= 5x/2+2x/2=7x/2
her weekly walk distace= 7x/2*7=49x/2=30miles
x= (30*2)/49
Use the parabola tool to graph the quadratic function f (x) = 2x2 - 4x + 6.
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
The vertex of the parabola f(x) = 2x^2 - 4x + 6 is (1, 4)
How to graph the parabola?The function is given as:
f(x) = 2x^2 - 4x + 6
Differentiate the function
f'(x) = 4x - 4
Set to 0
4x -4 =0
So, we have:
4x = 4
Divide by 4
x = 1
Substitute x = 1 in f(x) = 2x^2 - 4x + 6
f(1) = 2(1)^2 - 4(1) + 6
This gives
f(1) = 4
This means that the vertex is (1, 4)
Next, we set x = 0.
So, we have:
f(0) = 2(0)^2 - 4(0) + 6
This gives
f(0) = 6
This means that the parabola passes through the point (0, 6)
See attachment for the parabola
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What is the slope of the following equation?
y = -5x -2
14. Students in a statistics class would like to investigate if more than two-thirds of the Earth is water.
To answer this question, students tossed an inflatable globe back and forth. After each catch, the
student recorded whether the tip of their pointer finger of their right hand was on water or land. In
50 tosses, their finger was on water 38 times. Assuming all conditions for inference are met, do the
data provide convincing statistical evidence at the significance level of a = 0.05 that more than two-
thirds of the Earth is water?
(A) Yes, because the p-value of 0.76 is greater than the significance level of 0.05.
(B) Yes, because the p-value of 0.08 is greater than the significance level of 0.05.
(C) Yes, because the p-value of 0.05 is less than the significance level of 0.08.
(D) No, because the p-value of 0.08 is greater than the significance level of 0.05.
(E) No, because the p-value of 0.03 is less than the significance level of 0.05.
Answer:
D
Step-by-step explanation:
No, because the p-value of 0.08 is greater than the significance level of 0.05.
No, there isn't convincing statistical evidence at the significance level of a = 0.05 because the p-value of 0.08 > 0.05. (Option D)
How to find the corresponding value of z test statistic for a value of proportion random variable?Suppose the population proportion mean be denoted by [tex]\hat{p}[/tex]
and the population proportion random variable be denoted by p
Then, the z-test statistic's value for [tex]p = p_0[/tex] for sample of size n is specified by
[tex]z = \dfrac{\hat{p} - p_0}{\sqrt{\dfrac{p_0(1-p_0)}{n}}}[/tex]
For this case, we're specified that:
Students in a statistics class would like to investigate if more than 2/3 of the Earth is water.Sample size = 50Favorable cases = 38Level of significance = 0.05Thus, sample proportion is:
[tex]\hat{p} = \dfrac{38}{50} = 0.76[/tex]
(1) Null and Alternative Hypotheses
The following null and alternative hypotheses for the population proportion needs to be tested:
[tex]\begin{array}{ccl} H_0: p & \leq & 2/3\\ H_a: p & > & 2/3 \end{array}[/tex]
This corresponds to a right-tailed test, for which a z-test for one population proportion will be used.
(2) Rejection Region
Based on the information provided, the significance level is [tex]\alpha = 0.05[/tex], and the critical value for a right-tailed test is [tex]z_c = 1.64[/tex]
The rejection region for this right-tailed test is [tex]R = \{z: z > 1.645\}[/tex]
(3) Test Statistics
The z-statistic is computed as follows:
[tex]\begin{array}{ccl} z & = & \displaystyle \frac{\hat p - p_0}{\sqrt{ \displaystyle\frac{p_0(1-p_0)}{n}}} \\\\& = & \displaystyle \frac{0.76 - 2/3}{\sqrt{ \displaystyle\frac{ 2/3(1 -2/3)}{50}}} \\\\ & = & 1.401 \end{array}[/tex]
(4) Decision about the null hypothesis
Since it is observed that [tex]z = 1.401 \le z_c = 1.645[/tex], it is then concluded that the null hypothesis is not rejected.
Using the P-value approach: The p-value is p = 0.0806, and since [tex]p = 0.0806 \ge 0.05[/tex], it is concluded that the null hypothesis is not rejected.
(5) Conclusion
It is concluded that the null hypothesis H₀ is not rejected. Therefore, there is not enough evidence to claim that the population proportion pp is greater than 2/3, at the [tex]\alpha = 0.05[/tex] significance level.
Thus, there isn't convincing statistical evidence at the significance level of a = 0.05 because the p-value of 0.08 > 0.05. (Option D)
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Find the volume of the composite figure.
3 ft
2 ft
2 ft
6 ft
5 ft
The volume of the composite figure is
cubic feet.
Answer:
360
Step-by-step explanation:
A. B,D,A,E,C
B. B,C,D,A,E
C. C,D,A,B,E
D. C,A,D,B,E
9514 1404 393
Answer:
C. C,D,A,B,E
Step-by-step explanation:
The first set of coordinates, (-3, 4) and (3, 4) are on the horizontal line y=4. The distance between them is the difference of their x-values: 3 -(-3) = 6. This is the third distance on the list, so 'A' will be 3rd in the sequence of matching.
Choices A and C have 'A' listed 3rd.
__
The second set of coordinates (-5, 3) and (-5, 11) are on the vertical line x=-5. The distance between them is the difference of their y-values: 11 -3 = 8. This is the 4th distance on the list, so 'B' will be 4th in the sequence of matching.
Choice C has 'B' listed 4th.
The appropriate sequence of matching is ...
C, D, A, B, E
_____
Additional comment
In this problem, as in most multiple-choice problems, it isn't necessary to find the complete answer. It is only necessary to find enough of the answer to determine the correct choice among those offered. You do need to know enough about how to work the problem to be able to tell a correct choice from an incorrect one. Knowing the required relationships is useful; slogging through the arithmetic is often not necessary.
Answer:
C. C,D,A,B,E
Step-by-step explanation:
In ΔBCD, the measure of ∠D=90°, CB = 85, DC = 77, and BD = 36. What is the value of the cosine of ∠B to the nearest hundredth?
Answer:
cosB = 0.91
Step-by-step explanation:
Draw a picuture!
cosB = adj/hyp
cosB = DC / CB
cosB = 77 / 85
cosB = 0.91
In ΔBCD, the measure of ∠D=90°, CB = 85, DC = 77, and BD = 36. The value of the cosine of ∠B to the nearest hundredth, cos B = 0.91.
What are trigonometric identities?The trigonometric ratio can be defined in terms of ratios of perpendicular, bases, and hypotenuse.
These are defined only in right-angled triangles (triangles whose one angle is of 90 degree measure).
Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
In ΔBCD, the measure of ∠D=90°, CB = 85, DC = 77, and BD = 36.
We know that
cos B = adj/hyp
cos B = DC / CB
cos B = 77 / 85
cos B = 0.91
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A point (-20, 48 ) is on the terminal side of angle 8. Find the exact value of sin 0.
A. 5/13
B. -5/13
C. -12/13
D. 12/13
Answer:
D. 12/13
Step-by-step explanation:
Hyp = √( (-20)² + 48² )
Hyp = 52
Sin = opp/hyp
sin = 48/52 = 12/13
The value of trigonometric ratio Sinθ = 12/13.
Hence option D is correct.
According to the given point
The base of the triangle be = -20
Perpendicular of triangle = 48
We know that the Pythagoras theorem for a right-angled triangle:
(Hypotenuse)²= (Perpendicular)² + (Base)²
Therefore,
Hypotenuse = √( (-20)² + 48² )
Hypotenuse = 52
Since we know that,
Sinθ = opposite side of θ /hypotenuse
= 48/52
= 12/13
Hence,
Sinθ = 12/13
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The complete question is:
A point (-20, 48 ) is on the terminal side of angle θ .
Find the exact value of Sinθ.
A. 5/13
B. -5/13
C. -12/13
D. 12/13
These dot plots show the heights (in feet) from a sample of two different types of elephants Asian Elephants . 5 10 11 12 14 15 16 17 18 19 20 Height at the shoulder ift) African Elephants Helghut the shoulder It) What are the differences between the centers and spreads of these distributions? Select two choices: one for the centers and one for the spreads. A. Spreads. The heights of the Asian elephants are more spread out ( B. Centers: The Asian elephants have a lower median height than the African elephants c. Centers. The Asian elephants have a greater median height than the African elephants 1 D. Spreads The heights of the African elephants are more spread will give brainliest just help
Answer:
B - Centers: The Asian elephants have a lower median height than the African elephants
D - Spreads: The heights of the African elephants are more spread out
Step-by-step explanation:
On analyzing the dot plots, we find that the heights of the African elephants are more spread out and the Asian elephants have a lower median height than African elephants.
What is median?
Median is a statistical measure that determines the middle value of a dataset listed in ascending order. The measure divides the lower half from the higher half of the dataset.
Median of height of Asian elephants = 8 ft
Median of height of African elephants = 11 ft
This implies that the Asian elephants have a lower median height than African elephants.
What is spread of data?Spread describes the variation of the data. One of the measures of spread is range.
Range of height of Asian elephants = 4ft
Range of height of African elephants = 10ft
This implies that the height of African elephants are more spread out.
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Maths ACSF
1.5 m
2500 mm
850
4.8m
whats the total length
Answer:
Step-by-step explanation:
1.5m
(2500mm)/(1000 mm/m) = 2.5m
(850mm)/(1000 mm/m) = 0.85m
4.8m
Add the number of meters:
1.5 + 2.5 + 0.85 + 4.8 = 9.65m
We have the given measurements 1.5 m, 2500 mm, 850, 4.8m. Therefore, the total length would be 9.65m.
How to convert a millimeter into a meter?One meter is equal to 1000 millimeters. So, to convert one millimeter into a meter we have to divide by 1000.
We have the given measurements 1.5 m, 2500 mm, 850, 4.8m
To convert a millimeter into a meter
2500 mm
= (2500mm)/(1000 mm/m)
= 2.5m
850mm
(850mm)/(1000 mm/m)
= 0.85m
Add the number of meters:
= 1.5 + 2.5 + 0.85 + 4.8
= 9.65m
Therefore, the total length would be 9.65m.
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In ΔQRS, q = 6.8 inches, r = 1.9 inches and ∠S = 141° . Find the length of s, to the nearest 10th of an inch
c = 141 s =
150 inch
Hey May I Ask Whats The Rule Of This Number
Answer:
add 4x1, then 4x2, then 4x4, then 4x8, etc
Step-by-step explanation:
Tan(43)=1347/x
Can someone help please
the answer is ssmsmsmsmsmememememeememekekeke
Answer:
Step-by-step explanation:
tan(43) = 1347/x
Multiply by x to bring it to the other side.
x*tan(43) = 1347
Divide by tan(43) to get x by itself.
x = 1347/tan(43)
Use the tan and cot relationship.
x = 1347 * cot(43)
Multiply.
x ≈ 1444.5
what is
1 1/4 + 2/14
Answer:
1.39285714286
Step-by-step explanation:
[tex]1\frac{1}{3} + 2\frac{1}{4} = \frac{3*1+1}{3} + \frac{4*2+1}{4} = \frac{4}{3} + \frac{9}{4} = \frac{4*4}{3*4} + \frac{9*3}{4*3} = \frac{16}{12} + \frac{27}{12} = \frac{16+27}{12}=\frac{23}{12} = 1\frac{11}{12}[/tex]