Answer:
\(given \: equation \: \\ 125 = x \times 400 \\ so \: to \: find \: x \: \\ \\ x \: = \frac{400}{125} \\ \\ x = 3.2 \: percent\)
When testing for independence in a contingency table with 4 rows and 4 columns, there are _____________ degrees of freedom. Select one: a. 6 b. 7 c. 9 d. 5 e. 4
When testing for independence in a contingency table with 4 rows and 4 columns, there are 9 degrees of freedom.
What is Degree of Freedom?
The largest number of logically independent values—that is, values with the freedom to change—in the data sample is referred to as the degree of freedom. When calculating degrees of freedom, one is subtracted from the total number of items in the data sample.
The degrees of freedom are (r - 1)(c - 1) when evaluating the independence of characteristics in a contingency table with r rows and c columns.
Given, rows = 4
columns = 4
degree of freedom = (r - 1) (c - 1)
= (4 - 1) (4 - 1)
= (3)(3)
= 9
So the degree of freedom contingency table with 4 rows and 4 columns will be 9.
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solve pls brainliest
Question 3 (1 point)
Karl wants to find the width RQ of a river. He starts at point R, and walks
perpendicular along the edge of the river 42 ft and marks point S. He then walks 28
ft further and marks point T. He turns 90° and walks until his location (point U), point
S, and point Q are collinear. Suppose TU= 68 ft. What is the width of the river in
feet?
The width RQ of the river is approximately 61.98 ft.
To find the width RQ of the river, we can use the properties of perpendicular lines and collinearity.
Given that Karl starts at point R and walks perpendicular along the edge of the river 42 ft to point S, we can draw a line segment RS of length 42 ft.
From point S, Karl walks 28 ft further to point T. We can draw another line segment ST of length 28 ft.
Now, Karl turns 90° from point T and walks until his location (point U), point S, and point Q are collinear. Let's denote the length of this line segment as UQ.
From the given information, we know that TU = 68 ft.
Since U, S, and Q are collinear, we can form a right triangle by connecting UQ and US.
The length of UQ can be found using the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, we have:
UQ² = TU² - US²
UQ² = 68² - 28²
UQ² = 4624 - 784
UQ² = 3840
Taking the square root of both sides, we have:
UQ = √3840
UQ ≈ 61.98 ft
Therefore, the width RQ of the river is approximately 61.98 ft.
Note: It's important to keep in mind that this solution assumes the river is a straight line and that Karl's path is perpendicular to the river's edge. In reality, the river's edge may not be perfectly straight, and the path Karl walks may not be exactly perpendicular.
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Prove the Converse of the Pythagorean Theorem
In this activity, you will prove and apply the converse of the Pythagorean theorem. Recall that the
converse states that if the square of the length of the longest side of a triangle is equal to the sum of
the squares of the other two sides, then the triangle is a right triangle.
Open the GeoGebra activity to complete each step below. For help, watch these short videos about
using GeoGebra to measure and create points, lines, and anglese.
Question 1
Part A
Draw AABC with vertices at A(1,6), B(1, 1) and C(5,1). In this triangle, AB²+ BC² = AC².
Next, use the GeoGebra tools to draw ADEF such that AB = DE, m/E
Paste a picture of your drawing in the answer box.
= 90°, and EF
BC.
B I U X² X2 15px
AVA
E E g = = 三 四 V 田
=
The based on this example, we can see that the converse of the Pythagorean theorem does not hold for this particular triangle.
To prove the converse of the Pythagorean theorem, we need to show that if the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.
In the given triangle AABC, with vertices at A(1,6), B(1,1), and C(5,1), we can calculate the lengths of the sides using the distance formula or Pythagorean theorem.
AB = sqrt((1-1)^2 + (6-1)^2) = sqrt(25) = 5
BC = sqrt((5-1)^2 + (1-1)^2) = sqrt(16) = 4
AC = sqrt((5-1)^2 + (6-1)^2) = sqrt(40) = 2sqrt(10)
Now, let's check if AB^2 + BC^2 = AC^2:
AB^2 + BC^2 = 5^2 + 4^2 = 25 + 16 = 41
AC^2 = (2sqrt(10))^2 = 4(10) = 40
Since AB^2 + BC^2 is not equal to AC^2, the given triangle AABC does not satisfy the condition for the converse of the Pythagorean theorem.
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Help please and thanks! I'll award brainliest as well :)
Answer:
the ones horizantally across from each other
Step-by-step explanation: they each are so chosse a set of two :)
What is the value of 6 + 3 • 2² + 6 - 3 • 4?
A. 12
B. 24
C. 36
D. 48
Answer:
A. 12
Step-by-step explanation:
Answer:
A.12
Step-by-step explanation:
Some factors need to be controlled to keep this test fair. name two of them….
Two factors that need to be controlled to keep this test fair are the temperature and the sample volume.
What are the control variables?The control variables are those variables that should be kept constant in order to avoid interfering with the free flow of the experiment.
For the provided test, it is important that the temperature of the environment where the test sample is kept is controlled throughout the duration of the experiment so that some results are not affected by this. Also, the sample volume should be controlled for fair outcomes.
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Darlena has started taking photos at amateur dog racing events, later offering the photos for sale to the dog owners by email. The prices she has charged per photo at each of her first three events, and the corresponding number of photos sold and total revenue raised appear in the table below. Price per Photo $56 $52 $24 Number of Photos Sold 4 5 12 Revenue $224 $260 $288 Treating revenue as a function of the number of photos sold, a graph of the three data points is also shown. If she uses quadratic regression to fit a curve to the data, what number of photos are sold, and what price per photo will maximize her revenue?
While visiting your friend in the city, you see two roads that intersect as shown. Your triend tells you that the angle between the roads on the west side is 78° and the angle between the roads on the east side is (3x)°. Find the value of x.
Answer:
Step-by-step explanation: 78 +3x+x=180 deg.
4x=180-78
4x=102/:4
x=25.5 deg
Step-by-step explanation:
180 = 78° + 3x°
78° + 3x° = 180°
3x°= 180° - 78°
3x = 102°
x = 102°/3
67. If mn + p = m + 3n, what is the value of m when
n = 4 and p = 6? MP 2
A -2
B
2
C 3
D 3.6
O E 6
Answer:
2
Step-by-step explanation:
mn + p = m + 3n, n = 4 and p = 6
m(4)+6=m+3(4)
4m+6=m+12
4m=m+6
3m=6
m=2
Answer:
B) 2
Step-by-step explanation:
Step 1: Plug in the values of n and p.
\(m(4) + 6 = m + 3(4)\) \(4m + 6 = m + 12\)Step 2: Subtract m from both sides.
\(4m + 6 - m = m + 12 - m\) \(3m+6=12\)Step 3: Subtract 6 from both sides.
\(3m + 6 - 6 = 12 - 6\) \(3m = 6\)Step 4: Divide both sides by 3.
\(\frac{3m}{3} = \frac{6}{3}\) \(m = 2\)Step 5: Check if solution is correct.
\((2)(4)+(6)=(2)+3(4)\) \(8 + 6 = 2 + 12\) \(14 = 14\)Therefore, the answer is B) 2.
The measures of the three angles of a triangle are 43°, 70°, and xº. What is the value of x?
Answer:
67 degrees
Step-by-step explanation:
It is given that,
The measures of the three angles of a triangle are 43°, 70°, and xº.
We need to find the value of x.
We know that, the sum of angles of a triangle is equal to 180 degrees. Applying this theorem, we get :
\(43^{\circ}+70^{\circ}+x^{\circ}=180^{\circ}\\\\113^{\circ}+x^{\circ}=180^{\circ}\\\\x^{\circ}=180^{\circ}-113^{\circ}\\\\x^{\circ}=67^{\circ}\)
Hence, the value of x is 67 degrees.
HELP WITH 16 What is the value of X
Answer:
C - 136
(115+157)/2
Step-by-step explanation:
John is on a basketball team. 75% of his shots are 2-points, 25% are 3-point shots (he has never had to make a free-throw). Design a simulation to estimate the probability that John's next shot is worth 2-points. Explain in the text box or upload your handwriting or document explaining the scenario and your estimates.
The approximate probability that John will make all 2 -shots is 0.405 or 40.5%.
We know that probability distribution known as the binomial distribution is used to characterize the number of successes in a certain number of independent trials, where each trial has only one of two potential outcomes (success or failure) and the chance of success is constant across all trials.
Given, John is on a basketball team. 75% of his shots are 2-points, 25% are 3-point shots (he has never had to make a free-throw).
Using binomial distribution we have:
\(P(X =x) = \: ^nC_xp^x(1-p)^{n-x}\)
For k = 3 we have:
\(P(X =3) = \: ^2C_3p^3(1-p)^{2-3}\)
P(X=3) ≈ 0.405
Hence, the approximate probability that John will make all two shots is 0.405 or 40.5%.
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Rena found that her bamboo plant measured 1,889 millimeters tall. About how many meters tall is the plant? 1 meter (m) = 100 centimeters (cm) 1 centimeter (cm) = 10 millimeters (mm)
A. 2 m
B 3 m
C. 1 m
D. 4m
Answer:
A.
Step-by-step explanation:
1889mm to meters is 1.889 meters, round it up you get 2 meters.
The answer is A.
The mass of the Earth is about 6,000,000,000,000,000,000,000,000 kg. The mass of a human toddler's brain is about 400 grams. SHOW ALL WORK
(a) What is the mass of the Earth written in scientific notation?
(b) What is the mass of a toddler’s brain in scientific notation?
(c) In comparing the measurements in Parts (a) and (b), what else must be done before a comparison is made?
(A) = 6 x 10^24
(B) = 4 x 10^2
(C) but i need help on C cause I think you have to combine the kg and grams but I dont know how
Step-by-step explanation:
that's why it is so important to always write also the units a number represent.
and for a fully nice scientific notation you write also at least 1 digit after the decimal point.
(a) 6.0 × 10²⁴ kg
(b) 4.0 × 10² g
now,
1 kg = 1000 g ("kilo" means 1000)
so, in order to be able to compare the 2 numbers, you have to bring both numbers to the same unit. either both to kg or both to g.
6.0 × 10²⁴ kg = 6.0 × 10²⁴ × 1000 g = 6.0 × 10²⁷ g
or
4.0 × 10² g = 4.0 × 10² / 1000 kg = 4.0 × 10^-1 kg
once you have both showing the same unit, you can truly compare them.
PLEASE HELP WILL GIVE CROWN
A submarine is 50 feet below sea level. It rises toward the surface for 12 seconds at a rate of 3 feet per second.
How many feet below sea level is the submarine when it is finished rising?
Answer:
14
Step-by-step explanation:
umm I don't know if im dumb but isn't it just 3 times 12 giving you 36 and than 50 minus 36 with an answer of 14
PLEASE HELP WILL MARK BRAINLIEST IF IT'S CORRECT
Answer:
8
Step-by-step explanation:
10 - x + x + 3 + 2x - 1 = 28
2x + 12 = 28
2x = 16
x = 8
Answer:
x = 8
explanation:
perimeter: total sum of all lengths
side 1: 10 -xside 2: 2x - 1side 3: x + 3
Therefore:
10 - x + x + 3 + 2x - 1 = 28
2x + 12 = 28
2x = 28 - 12
2x = 16
x = 8
What triangle can be obtuse?
scalene triangle
acute triangle
isosceles triangle
right triangle
Answer:
Isosceles and scalene triangles can both be obtuse.
Find the value of x. Round your answer to the nearest tenth. Will mark brainlist !
Answer:
answer is 17.5
Step-by-step explanation:
use formula a^2 + b^2 = c^2 (letters represent each side of the triangle)
9^2 + 15^2 = 306
306 = x^2. find the square root of 306 to find x
√306 = 17.4928557
rounded it to the nearest 10th
17.5
Answer:
X = 17.5
Step-by-step explanation:
X = ?
Hypotenuse² = Base² + Altitude²
x² = 9² + 15²
x² = 81 + 225
x² = 306
X = √306
X = 17.49
X = 17.5
Elizabeth recently bought a new bike, and she has started biking to and from work. The
round-trip distance is 9 kilometers.
Write an equation that shows the relationship between the number of round trips, x, and
the total number of kilometers Elizabeth has biked, y.
Answer:
the answer is 9x
Step-by-step explanation:
y=9x is the relationship between the number of round trips, x, and the total number of kilometers Elizabeth has biked, y.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that,
Elizabeth recently bought a new bike, and she has started biking to and from work.
The round-trip distance is 9 kilometers.
We need to find an equation that shows the relationship between the number of round trips, x, and the total number of kilometers Elizabeth has biked, y.
y=9x
Hence y=9x is the relationship between the number of round trips, x, and the total number of kilometers Elizabeth has biked, y.
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What is the answer pleaseee
Answer: 803.84cm3
Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.
To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.
4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.
Now, we have the area of the circle. 50.24cm squared!
The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,
16cm x 50.24cm squared = 803.84cm cubed.
The volume of the can of soup is 803.84cm cubed.
There are 36 people camping at Max's family reunion. They are sleeping in tents. If 4 people can sleep in each tent, how many tents are at the campsite?
You want to find out how sleep deprivation affects motor performance. To study this, you have sleep-deprived subjects (such as parents of newborn babies or night-shift workers) record the number of minutes they sleep each night and take a series of motor performance assessments, with 1 minute being the smallest unit on the scale. Suppose the first subject sleeps 180 minutes. Determine the real limits of 180.
Answer:
179.5 - 180.5
Step-by-step explanation:
Time is a continuous variable. The minimum sleep time per night per subject here, is given as 1 minute.
Larger sleep times could be 1.08 minutes, 2.99 minutes, and other continuous/infinite values. Remember there are 60seconds in a minute and in-between seconds, there are milliseconds. So time is a continuous variable.
In this case though, our measurement of time is given in whole number units (integers). Our precision of measurement is 1 unit. We have an observed value of 180 minutes (the first subject's sleep time). The real limits of this value are 179.5 to 180.5
We have 2 squares. One square is shaded 2/12 and the other shaded square in the diagram is 2/15 shaded. How much of the total diagram is shaded?
A.0.148
B.0.148 repeated
C. 0.3
D.0.3 repeated
Answer: The answer to your question is C. Brainliest?
Step-by-step explanation:
For the first square, we can multiply both the numerator and denominator by 5 to get an equivalent fraction with a denominator of 60:
2/12 = (2 x 5) / (12 x 5) = 10/60
For the second square, we can multiply both the numerator and denominator by 4 to get an equivalent fraction with a denominator of 60:
2/15 = (2 x 4) / (15 x 4) = 8/60
Now, we can add the two fractions:
10/60 + 8/60 = 18/60
Simplifying this fraction by dividing both numerator and denominator by 6, we get:
18/60 = 3/10
Therefore, the total shaded area in the diagram is 3/10 or 0.3 in decimal form.
The answer is C. 0.3.
Question 2(Multiple Choice Worth 2 points)
(Slope-Intercept Form MC)
The table shown represents a linear relationship.
x 0 1 3 4
y −8 −6 −2 0
Based on the table, what is the equation of the linear relationship in slope-intercept form?
y = 2x − 8
y = 2x + 8
y = −2x + 4
y = −2x − 4
The equation of the linear relationship in slope-intercept form is y = 2x - 8. Option A is the correct answer.
To determine the equation of the linear relationship in slope-intercept form based on the table, we need to find the slope and y-intercept.
By observing the table, we can calculate the slope by selecting any two points. Let's choose the points (0, -8) and (4, 0).
Slope (m) = (change in y) / (change in x)
= (0 - (-8)) / (4 - 0)
= 8 / 4
= 2
Now that we have the slope, we can find the y-intercept by substituting the values of one point and the slope into the equation y = mx + b and solving for b.
Using the point (0, -8):
-8 = 2(0) + b
b = -8
Therefore, the equation of the linear relationship in slope-intercept form is: y = 2x - 8. Option A is the correct answer.
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if you borrowed 12,000 dollars in student loans and paid back 4,200 dollars what percent of the total loan have you paid back
Answer:
35%
Step-by-step explanation:
4,200*100/12,000
420,000/12,000
35%
Gameron wants to measure a poster frame, but he only has a sheet of
paper that is 8 1/2 by 11 inches
a.
He lays the long edge of the paper along the long edge of the frame several times
and finds the frame is 4 papers long. How long is this in inches?
In feet?
b.
He lays the short edge of the paper along the short edge of the frame several times
and finds the frame is 3 papers wide. How long is this in inches?
In feet?
plsss help!
The measure of the frame in feet of the length and width are 3.667 feet and 2.125 feet respectively.
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here: The measure of the frame is 8.5 inches and 11 inches
a) if the frame is 4 papers long then we have the length of the frame as
11×4=44 inches (since he lays the paper along the edge of frame)
We know 1 inch= 0.0833 foot
Thus 44 inches= 3.66667 foot
b) Again if he lays the paper along the short edge than the width of the frame is 3×8.5=25.5 inches
∴25.5 inches= 2.125 feet
Hence, The measure of the frame in feet of the length and width are 3.667 feet and 2.125 feet respectively.
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Find the perimeter of the polygon with the vertices G(2, 4), H(2,−3), J(−2,−3), and K(−2, 4).
Answer:
22 units
Step-by-step explanation:
Graphed to solve.
Width:
The distance between points K and G, and points J and H is both 4 units. So for both distances between the set of points will be 8 units total.
Length:
The distance between points G and H, and points J and K is both 7 units. So for both distances between the sets of points will be 14 units total.
14 + 8 = 22
Directions - Write an equation in slope-intercept (y = mx + b) form for each line.
The equation in slope intercept form of the line that passes through the graph is y = 2/3x + 2
How to determine the equation of the line?From the graph, we have the points to be given as
(-3,0) and (0,2)
Start by calculating the slope of the points using the following slope equation
m = (y₂ - y₁)/(x₂ - x₁)
Where
(x, y) = (-3,0) and (0,2)
So, we have
m = (2 - 0)/(0 + 3)
Evaluate
m = 2/3
The equation is then calculated as
y = m(x - x₁) + y₁
Where
(x, y) = (0, 2) and m = 2/3
So, we have
y = 2/3(x - 0) + 2
Expand
y = 2/3x + 2
Hence, the equation in slope intercept form of the line is y = 2/3x + 2
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A newsletter publisher believes that above 44% of their readers own a Rolls Royce. Is there sufficient evidence at the 0.05 level to substantiate the publisher's claim
Answer:
\(H_o :p = 0.44\\\\H_a: p >0.44\)
Step-by-step explanation:
The null and alternative hypothesis is presented below;
\(H_o :p = 0.44\\\\H_a: p >0.44\)
The first one represent that there would be no difference
ANd, the last one represent that the proportion of the reader would own roll royre would be more