WILL MARK BRAINLIEST! WILL GIVE 57 POINTSSSS! NO FUNNY ANSWERS I WILL REPORT YOU UNTIL YOU GET BANNED.
Complete the function table. then write a rule for the function.
Pls Help Quickly! :)
Answers
Answer:
-5
-3
-2
Rule: Subtract 2 from the input value
Step-by-step explanation:
Examine the pattern of the input and the corresponding output for the two given ordered pairs:
Input -2 → Output -4
Output - Input = -4 - (-2) = -2
Input 1 → Output -1
Output - Input = -1 - 1 = -2
Therefore to get the output value (y-value), we subtract 2 from the input value (x-value).
[tex]\begin{array}{| c | c |}\cline{1-2} x & y \\\cline{1-2} -3 & -5 \\\cline{1-2} -2 & -4 \\\cline{1-2} -1 & -3 \\\cline{1-2} 0 & -2\\\cline{1-2} 1 & -1 \\\cline{1-2}\end{array}[/tex]
As the rule for the function is the subtract 2 from the input value to get the output value, we can write this as:
Output = Input - 2
or as an equation: [tex]y=x-2[/tex]
Related Questions
10
3
А.
B
1+
2+
EF
G/H
Which of the following are corresponding angles?
O A. DC and 2F
OB. ZA and ZE
OC. E and 2H
OD. A and
Answers
Answer:
why don't u send the pictures so I can help u out
Amir drove from Jerusalem to the lowest place on Earth, the Dead Sea. His altitude relative to sea level (in meters) as a function of time (in minutes) is graphed. How fast did Amir descend?
Answers
The equation for the flowing rate of aamir is as follows y = -12x +360
What is an equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
First of all let's write the slope-intercept form of the equation of a line, which is:
y = mx + c
So we just need to find to solve this problem.
Moreover, this problem tells us that Amir drove from Jerusalem down to the lowest place on Earth, the Dead Sea, descending at a rate of 12 meters per minute. So this rate is the slope of the line, that is:
Negative slope because Amir is descending. So:
y = - 12x + b
To find, we need to use the information that tells us that he was at sea level after 30 minutes of driving, so this can be written as the point. Therefore, substituting this point into our equation:
y = -12x + b
0 = -12(30) + b
b = 360
Finally, the equation of Amir's altitude relative to sea level (in meters) and time (in minutes) is:
y = -12x +360
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Answer:
11 meters per minute
Step-by-step explanation:
The rate at which Amir descended is equivalent to the rate of change of this relationship. In linear relationships, the rate of change is represented by the slope of the line. We can calculate this slope from any two points on the line.
Hint #22 / 2
Two points whose coordinates are clearly visible from the graph are
(
0
,
440
)
(0,440)left parenthesis, 0, comma, 440, right parenthesis and
(
40
,
0
)
(40,0)left parenthesis, 40, comma, 0, right parenthesis.
Now, to find the slope, let's take the ratio of the corresponding differences in the
�
yy-values and the
�
xx-values:
0
−
440
40
−
0
=
−
440
40
=
−
11
40−0
0−440
=
40
−440
=−11start fraction, 0, minus, 440, divided by, 40, minus, 0, end fraction, equals, start fraction, minus, 440, divided by, 40, end fraction, equals, minus, 11
The slope of the line is
−
11
−11minus, 11, which means that Amir descended at a rate of
11
1111 meters per minute.
The first and fourth quadrants of a coordinate plane. The horizontal axis is from zero to one hundred with a scale of ten and is titled Paprika in kilograms. The vertical axis is from negative three hundred to five hundred with a scale of one hundred and is titled Profit in dollars. The graph of the line is y equals eight x minus two hundred eighty.
I'm very confused on this question!! SOMEONE HELP ASAP!!!
Answers
Answer:
AC and YX are corresponding sides.
AB and YZ are corresponding sides.
BC and ZX are corresponding sides.
Step-by-step explanation:
Hope this helps and have a nice day
a boat is traveling east across a river that is 112 meters wide at 8 meters per second. if the river has a northwest current of 5 meters per second, what is the resultant speed of the motorboat rounded to the nearest 10?
Answers
boat speed= 8 m/s
river current= 5 m/s
to find:the resultant speed of the motorboat rounded to the nearest 10.
solution:use pythagorean theorem.
let the unknown be "x".
[tex] {a}^{2} = {b}^{2} + {c}^{2} [/tex]
[tex] {c}^{2} = \sqrt{ {a}^{2} + {b}^{2} } [/tex]
[tex]x = \sqrt{ {8}^{2} + {5}^{2} } [/tex]
[tex]x = \sqrt{64 + 25} [/tex]
[tex]x = 9.4 \: m |s[/tex]
hence, the resultant speed of the motorboat is 9.4 m/s
3 + 15 + 75 + 375 + 1,875
What’s the sigma notation
Answers
Answer:
292,968
Step-by-step explanation:
In a batch of 390 water purifiers, 12 were found to be defective l. What is the probability that a water purifier chosen at random will be defective? Write the probability as a percent. Round to the nearest tenth of a percent if necessary.
Answers
Answer:
3.08 percent
Step-by-step explanation:
if you do proportions, then it would go like this:
12/390 = x/100
(cross multiply)
390x = 1200
(divide both sides by 390 to get x by itself)
x = 3.07692307692
round and its about 3.08 percent
sorry if its wrong im only in 6th grade
7. A square pyramid has a height that is 8 centimeters
long and a base with sides that are each 9
centimeters long. Find the volume of the pyramid.
Answers
The volume of the square pyramid will be equal to V = 648 square centimetres.
What is Volume?Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the Cuboid.
Given that:-
A square pyramid has a height that is 8 centimeters long and a base with sides that are each 9.The volume will be calculated as:-
V = L x W x H
V = 9 x 9 x 8
V = 648 square centimters.
Therefore the volume of the square pyramid will be equal to V = 648 square centimetres.
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A line segment has endpoints of (-2,6) and
(-4,-9). What is the midpoint of the line
segment?
Answers
Answer:
(-3, -1.5)
Step-by-step explanation:
Given:
Endpoint₁: (-2, 6)Endpoint₂: (-4, -9)[tex]\boxed{\text{Midpoint of a line segment:} \ \huge\text(\dfrac{x_1 + x_2}{2} ,\dfrac{y_1 + y_2}{2} \text)}[/tex]
Substitute the endpoints of the line segment in the midpoint:
[tex]\implies \huge\text[\dfrac{-2 + (-4)}{2} ,\dfrac{6 + (-9)}{2} \text][/tex]
Simplify the coordinates in the midpoint:
[tex]\implies \huge\text[\dfrac{-2 - 4}{2} ,\dfrac{6 - 9}{2} \text] \implies \huge\text[\dfrac{-6}{2} ,\dfrac{-3}{2} \text]\implies \huge\text[-3 ,-1.5 \text][/tex]
Thus, the coordinate of the midpoint is (-3, -1.5)
Mrs. Hanger is painting the following picture of an H to hang in the entryway of her home. She has made the following scale drawing as her model. The scale used on the drawing is 1:6.
As you can see, the "H" is going to be painted brick red in the center of a rectangular beige background. This means the distance from the "H" to the top of the picture will be the same as the distance from the "H" to the bottom of the picture. Similarly, the distance from the "H" to the left side of the picture will be the same as the distance from the "H" to the right side of the picture. Finally, each segment of the "H" will have the same width.
Mrs. Hanger decides to change the scale of her drawing from 1:6 to 1:4.
Is the new scale drawing larger or smaller than the original scale drawing? Use complete sentences to explain your reasoning.
What are the dimensions of the painting on the new scale drawing?
Answers
The percentage of the rectangle that will be beige is 15.5 percent
What is a rectangle?
A rectangle is a quadrilateral having the four sides and the sum of the angles is 180 in the rectangle the opposite two sides are equal and parallel and the two sides are at 90-degree angles.
The width of the "H" is 1/2 the distance form the top to the bottom of the "H" is 1/2
1/2 + 1/2 =
the side length of the "H" is 4
4 x 1/2 = 2
The demensions of the other 1/2 by 4 are the same, therefore,
2 + 2 = 4
The middle section is 1 by 1/2
1 x 1/2 = 1/2
The equation is 2 + 1/2 = 2 1/2
and converted to decimal form it is 4.5
The rectangle is 4 by 5
So 4 x 5 = 20
20 - 4.5 = 15.5 percent
Hence the percentage of the rectangle that will be beige is 15.5 percent.
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• Packaging of a product can cost a lot of money. Can you design
the cheapest package?
• Your task is to decide on the most cost effective and efficient
way to pack 12 golf balls. The radius of each golf ball is 1,8 cm.
All 12 golf balls fit side by side and you must design a box that
will hold the 12 golf balls with the minimum amount of wasted
card. The cost of cardboard is going to 0,01€ per cm squared.
Answers
The best arrangement can be
3 rows and 4balls each rowSo
Length of one row=1.8(4)=7.2cmWidth=1.8(3)=5.4cmHeight=1.8(2)=3.6cmSo
TSA
2(LB+BH+LH)2(5.4(7.2)+(7.2)(3.6)+3.6(5.4))2(84.24)168.48cm²Total cost
168.48(0.01)1.685€The table shows the cumulative number of minutes Alice practices clarinet for the first part of the school year. The values will be graphed on the given coordinate plane. Which is the most appropriate choice of origin and scale for this graph?
Answers
The option (C) x-axis, scale: 1 unit = 1 week and y-axis, scale: 1 unit = 150 minutes with origin (0 weeks, 0 minutes) is correct.
What is a scale factor?The ratio among comparable dimensions of an object and a model with that object, known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.
As we can see in the table, data is given, we can plot it in the graph by using the scale factor.
On the x-axis, scale: 1 unit = 1 week
On the y-axis, scale: 1 unit = 150 minutes
On the y-axis, 2 units = 300 minutes
On the y-axis, 3 units = 450 minutes
Thus, the option (C) x-axis, scale: 1 unit = 1 week and y-axis, scale: 1 unit = 150 minutes with origin (0 weeks, 0 minutes) is correct.
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Part B: Your cell phone and tablet use the same account. The cell phone costs $0.10 for
each minute of use and the tablet costs $0.15 for every minute of use. Each month, you
want to only spend up to $450 and use Tess than 5,000 minutes on both of the devices.
Now, create a system of inequalities using the above information (use x and y as the
variables).
pls help for brainliest
Answers
The inequalities are x + y < 5000 and 0.10x + 0.15y ≤ $450 which shows each month, you want to only spend up to $450 and use less than 5,000 minutes on both of the devices.
What is inequality?Inequality is defined as a mathematical expression in which both sides are not equal and have mathematical signs that are either less than or greater than.
Let's suppose the total minutes of uses for cell phone is x
and total minutes of uses of for tablet is y
Cell phone cost $0.10 each minute and tablet cost $0.15 each minute.
Then total minutes will be:
x + y < 5000 (as it is given that the time will be less than 5,000 minutes on both of the devices)
And total cost = $450
0.10x + 0.15y ≤ $450
Thus, the inequalities are x + y < 5000 and 0.10x + 0.15y ≤ $450 which shows each month, you want to only spend up to $450 and use less than 5,000 minutes on both of the devices.
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What is -2/8 simplified?
Answers
Answer:
[tex]\huge\boxed{\sf -\frac{1}{4} }[/tex]
Step-by-step explanation:
Given Fraction:
[tex]\displaystyle =-\frac{2}{8}[/tex]
Divide both numerator and denominator by 2 to simplify.
[tex]\displaystyle =-\frac{2 \div 2}{8\div 2} \\\\= -\frac{1}{4} \\\\\rule[225]{225}{2}[/tex]
The simplified form of -2/8 is [tex]-1/4[/tex]
Hope this helps you :)
A recent community survey of 100 citizens showed that 55% of respondents approved of water rationing. The data was simulated 500 times. In those simulations, the lowest sample was p^ =45 and the highest sample was p^ =66. Use the standard deviation method for determining the error margin with 95% confidence.
A. What is the error margin?
B. What is the interval estimate for the true population proportion?
C. From this estimate, can you say for certain that the majority of the community supports water rationing?
Answers
The interval estimate for the true population proportion is 45.25% to 64.75% and we can conclude that the majority of the community supports water rationing
How to determine the error margin?The given parameters are:
p = 55% = 0.55n = 100Confidence level = 95%The error margin is calculated using:
[tex]E = z * \sqrt{\frac{p* (1 - p)}{n}}[/tex]
Where z is the critical value.
At 95% confidence level, the critical value is:
z = 1.96
So, we have:
[tex]E = 1.96 * \sqrt{\frac{0.55 * (1 - 0.55)}{100}}[/tex]
Evaluate
[tex]E = 1.96 * \sqrt{0.002475}[/tex]
Evaluate
E = 0.0975
Hence, the error margin is 0.0975
How to determine the interval estimate for the true population proportion?This is calculated using:
I = p ± E
So, we have:
I = 0.55 ± 0.0975
Expand
I = (0.55 - 0.0975, 0.55 + 0.0975)
Evaluate
I = (0.4525, 0.6475)
Express as percentage
I = (45.25%, 64.75%)
Hence, the interval estimate for the true population proportion is 45.25% to 64.75%
How to interpret the estimate?From the simulation,
Lowest sample p = 45% Highest sample p =66%The values are approximately the interval estimates.
i.e.
45.25% ≈ 45% and 64.75% ≈ 65%
Hence, we can conclude that the majority of the community supports water rationing
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What is the slope of the line represented by the following equation? 4x−y+3=0
Answers
The slope of the line which is represented by the provided equation 4x-y+3=0 is the number 4.
What is the slope of a line?The slope of a line is the difference in the height of the y coordinates and the difference in the width of the coordinates. It describes the direction of the line.
The standard form of the equation of a line can be given as,
y=mx+c
Here, c is the y intercept of the line and m is the slope of the line.
The equation of the line is given as,
4x-y+3=0
Rewrite the equation in the standard form as,
4x-y+3=0
4x+3=y
y=4x+3
Compare it with standard equation we get,
m=4
c=3
Thus, the slope of the line which is represented by the provided equation 4x-y+3=0 is the number 4.
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HELP me please please thanks you.
Answers
Answer:
The triangles are not similar
Step-by-step explanation:
You can make a ratio with the corresponding sides of the triangles. When triangles are similar, the ratios are equal.
These will be:
ED:BA = EF:BC = FD:AC
Now, to substitute the numbers and check whether the ratios are equal:
3/8 = 2/5
Already, we see that these ratios are not equal, therefore the two triangles aren't similar.
Simplify: √45 – 3√20 + 4√5
Answers
Answer:
[tex]\sqrt{5}[/tex]
Step-by-step explanation:
using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] = [tex]\sqrt{ab}[/tex]
simplifying
[tex]\sqrt{45}[/tex]
= [tex]\sqrt{9(5)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex] = 3[tex]\sqrt{5}[/tex]
[tex]\sqrt{20}[/tex]
= [tex]\sqrt{4(5)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex] = 2[tex]\sqrt{5}[/tex]
Then
[tex]\sqrt{45}[/tex] - 3[tex]\sqrt{20}[/tex] + 4[tex]\sqrt{5}[/tex]
= 3[tex]\sqrt{5}[/tex] - 3(2[tex]\sqrt{5}[/tex] ) + 4[tex]\sqrt{5}[/tex]
= 3[tex]\sqrt{5}[/tex] - 6[tex]\sqrt{5}[/tex] + 4[tex]\sqrt{5}[/tex]
= [tex]\sqrt{5}[/tex]
46a+5/3=24/5-a
First answer get to be brainliest!
Answers
Answer:
1/15 or 0.0666.. repeating
Step-by-step explanation:
1. Group all a terms on the left side of the equation
Add a to both sides
[tex]46a+\frac{5}{3}+a=\frac{24}{5}-a+a[/tex]
Group like terms:
[tex]46a+a+\frac{5}{3}=\frac{24}{5}-a+a[/tex]
Simplify the arithmetic:
[tex]47a+\frac{5}{3}=\frac{24}{5}-a+a[/tex]
Group like terms:
[tex]47a+\frac{5}{3}=-a+a+\frac{24}{5}[/tex]
Simplify the arithmetic:
[tex]47a+\frac{5}{3}=\frac{24}{5}[/tex]
2. Group all constants on the right side of the equation
[tex]47a+\frac{5}{3}=\frac{24}{5}[/tex]
Subtract [tex]\frac{5}{3}[/tex] from both sides:
[tex]47a+\frac{5}{3}-\frac{5}{3}=\frac{24}{5}-\frac{5}{3}[/tex]
Combine the fractions:
[tex]47a+\frac{5-5}{3}=\frac{24}{5}-\frac{5}{3}[/tex]
Combine the numerators:
[tex]47a+\frac{0}{3}=\frac{24}{5}-\frac{5}{3}[/tex]
Reduce the zero numerator:
[tex]47a+0=\frac{24}{5}-\frac{5}{3}[/tex]
Simplify the arithmetic:
[tex]47a=\frac{24}{5}-\frac{5}{3}[/tex]
Find the lowest common denominator:
[tex]47a=\frac{24\cdot 3}{5\cdot 3}+\frac{-5\cdot 5}{3\cdot 5}[/tex]
Multiply the denominators:
[tex]47a=\frac{24\cdot 3}{15}+\frac{-5\cdot 5}{15}[/tex]
Multiply the numerators:
[tex]47a=\frac{72}{15}+\frac{-25}{15}[/tex]
Combine the fractions:
[tex]47a=\frac{72-25}{15}[/tex]
Combine the numerators:
[tex]47a=\frac{47}{15}[/tex]
3. Isolate the a
[tex]47a=\frac{47}{15}[/tex]
Divide both sides by 47:
[tex]\frac{47a}{47}=\frac{\frac{47}{15}}{47}[/tex]
Simplify the division:
[tex]a=\frac{47}{15\cdot 47}[/tex]
Simplify the right side:
[tex]a=\frac{1}{15}[/tex]
hope this helps:)
Answer:
0.06 or 1/15
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
For a standard-position angle determined by the point (x, y), what are the values of the trigonometric functions?
For the point (9, 12), find csc θ and sec θ.
A. csc θ = 5/4, sec θ = 5/3
B. csc θ = 5/4, sec θ = 4/5
C. csc θ = 3/5, sec θ = 4/5
D. csc θ = 3/4, sec θ = 3/5
Answers
The measure of the cscθ and secθ are 5/4 and 5/3 respectively option (A) is correct.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have a standard-position angle determined by the point (x, y).
The point is (9, 12)
From the Pythagoras theorem, we can find the hypotenuse(h):
h = √(9²+12²)
h = 15
cscθ = hypotenuse/opposite = 15/12 = 5/4
secθ = hypotenuse/adjacent = 15/9 = 5/3
Thus, the measure of the cscθ and secθ are 5/4 and 5/3 respectively option (A) is correct.
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What is the horizontal asymptote of j (x) = startfraction 14 x cubed 45 over 2 x cubed x 9 endfraction y = 1 y = 5 y = 7 y = 12
Answers
The horizontal asymptotes the the point where the horizontal line cutes the y-axis. The horizontal asymptotes of the function is y =7
Horizontal asymptotes of a functionThe horizontal asymptotes the the point where the horizontal line cutes the y-axis,
Given the function
j(x) = 14x³+45/2x³+9
Since the powers of both numerator and denominator is the same, we will take the ratio of their coefficient as shown
y = 14/2
y = 7
Hence the horizontal asymptotes of the function is y =7
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What is the answer? I need help
Answers
Answer:
10
Step-by-step explanation:
Square root of 74 is 8.6.
Using the pythagoras theorem,
7²+x²(half)=8.6²
49+x²(half)=74
x²=25, x=5
Now we found the half of x, we are going to add the other side which is 5+5=10
Find the value of x
Area of triangle =5
(Type an integer or decimal rounded to the nearest hundredth as needed. Use a comma to desperate answers if needed.
Answers
Answer:
x= 1.74
Step-by-step explanation:
Area of triangle= ½ ×base ×height
We are given that the base is (x +4), the height is x and the area is 5.
5= ½(x +4)(x)
Multiply both sides by 2:
x(x +4)= 10
Expand:
x² +4x= 10
x² +4x -10= 0
Let's use the quadratic formula!
[tex]\boxed{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} }[/tex]
[tex]x = \frac{ - 4± \sqrt{ {4}^{2} - 4(1)( - 10)} }{2(1)} [/tex]
[tex]x = \frac{ - 4± \sqrt{56} }{2} [/tex]
x= 1.74 or x= -5.74 (reject)
(nearest hundredth)
Rectangle ZYXW has vertices Z ( -1,-4) , Y (0,-2), X (4,0), and W (3,-4). What will be the vertices of the rotated image if the rectangle is rotated around the origin counterclockwise by 90 degrees?
Answers
The coordinates of the rotated image are Z' = (4,-1), Y' = (2,0), X' = (0,4) and W' = (4,3)
How to determine the vertices of the image?The points are given as:
Z ( -1,-4) , Y (0,-2), X (4,0), and W (3,-4)
The rule of rotation around the origin counterclockwise by 90 degrees is
(x,y) => (-y,x)
Using the above rule, we have:
Z' = (4,-1)
Y' = (2,0)
X' = (0,4)
W' = (4,3)
Hence, the coordinates of the rotated image are Z' = (4,-1), Y' = (2,0), X' = (0,4) and W' = (4,3)
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PLEASE HELP!!! i can’t find the answer
Answers
Answer:
the correct answer is 2nd hope this will help u i have find the value of x also hope it will help
Step-by-step explanation:
[tex] {4}^{x + 3} = 64 \\ {2}^{2(x + 3)} = {2}^{6} \\ 2{ }^{2x + 6} = 2 {}^{6 } \\ 2x + 6 = 2 \\ 2x = 2 - 6 \\ x = \frac{ - 4}{2} \\ x = - 2[/tex]
if the legs of a right triangle are 3 and 6, what is the length of the hypotenuse?
Answers
Answer:
[tex]3\sqrt5[/tex]
Step-by-step explanation:
The pythagorean theorem is [tex]a^2+b^2=c^2[/tex] where c is the hypotenuse.
so, [tex]3^2+6^2=c^2[/tex]
9 + 36 = 45
[tex]\sqrt45=\sqrt{c^2}[/tex]
c = [tex]3\sqrt5[/tex]
Find the x-intercept and y-intercept of the line.
6x - 3y = 6
x intercept:
y intercept:
Answers
Answer:
Use the slope-intercept form y=mx+by=mx+b to find the slope mm and y-intercept bb.Slope: 22y-intercept: (0,2)(0,2)
Step-by-step explanation:
Why are inscribed angles half the size of the central angles
Answers
Answer:
An angle inscribed in a circle is half of the central angle 2 that subtends the same arc on the circle, according to the inscribed angle theorem. As a result, the angle does not change as the vertex of the circle is moved around.
Step-by-step explanation:
PLSSS HELP IF YOU TURLY KNOW THISS
Answers
Answer:
D. Ray
Step-by-step explanation:
Point: A dot in an exact location or position on a plane surface.
Line: A straight line that goes on infinitely in both directions and has no endpoints.
Line segment: A line between two points on each end.
Ray: A line with one endpoint and extends in one direction infinitely.
Orange County wanted to determine how its students did on a standardized test, so the county took a random survey of 25 students. Out of the 25 students, 4 scored "1" on the test, 8 scored "2" on the test, 5 scored "3" on the test, 5 scored "4" on the test, and 3 scored "5" on the test.
Answers
The model could be improved by using a step function.
A random sample of college football players had an average height of 66.35 inches. Based on this sample, (65.6, 67.1) found to be a 90% confidence interval for the population mean height of college football players. Choose the correct answer to interpret this interval. i. We are 90% confident that the population mean height of college football players is between 65.6 and 67.1 inches. ii. There is a 90% chance that the population mean height of college football players is between 65.6 and 67.1 inches. iii. We are 90% confident that the population mean height of college football palyers is 66.35 inches. iv. A 90% of college football players have height between 65.6 and 67.1 inches.
Answers
Answer:
We are 90% confident that the population mean height of college football players is between 65.6 and 67.1 inches.
Step-by-step explanation:
90% Confidence interval means that out of 100 different samples, for example, 90 out of 100 confidence intervals with include the true mean value (average height).