The velocity represented by vector AC of Michelle's canoe is approximately option C. 11.2 miles per hour.
How did we get the value?To determine the velocity, represented by vector AC, of Michelle's canoe, use the concept of vector addition.
Break down the motion into its components:
1. Paddling due east at 10 miles per hour: This motion can be represented by a vector pointing in the positive x-direction with a magnitude of 10 mph.
2. Wind blowing due south at 5 miles per hour: This motion can be represented by a vector pointing in the negative y-direction with a magnitude of 5 mph.
To find the resultant velocity, add these two vectors. Using the Pythagorean theorem, calculate the magnitude of the resultant velocity:
AC² = AB² + BC²
AB (paddling east) = 10 mph
BC (wind blowing south) = -5 mph (negative sign due to opposite direction)
AC² = (10 mph)² + (-5 mph)²
AC² = 100 mph² + 25 mph²
AC² = 125 mph²
Taking the square root of both sides:
AC ≈ √(125) mph
AC ≈ 11.2 mph (rounded to the nearest tenth)
Therefore, the velocity represented by vector AC of Michelle's canoe is approximately 11.2 miles per hour.
The correct answer is option C: 11.2 miles per hour.
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Find the area of the following rectangle. a = 12 ft b = 14 ft A = ft 2
Answer:
The area of the rectangle is 168 ft².
Step-by-step explanation:
Formula: A = lw
where l and w are the length and width of the rectangle respectively.
We're given with the length and the width as
a = 12 ft
b = 14 ft
Let's solve for the area using the formula above.
A = lw
A = 12ft(14ft)
A = 168 ft²
Plant cells and animal cells were observed under a microscope. The characteristics of two cells are listed below.
Cell X: Has chloroplast
Cell Y: Does not have a cell wall
Which statement about the two cells is correct?
Cell X has a cell membrane.
Cell X has a small vacuole.
Cell Y has a large vacuole.
Cell Y has chloroplast.
PLEASE HELP!!!
The correct statement about the two cells is:Cell Y has a large vacuole.
Cell X is described as having chloroplast, which is an organelle found in plant cells and is responsible for photosynthesis. This indicates that Cell X is a plant cell. Since the presence of chloroplast is mentioned specifically for Cell X and not for Cell Y, it implies that Cell Y is an animal cell, as animal cells do not contain chloroplasts.
Cell X having a cell membrane is not stated explicitly, and it is a characteristic shared by both plant and animal cells. Therefore, we cannot conclude whether Cell X has a cell membrane or not based on the given information.
The statement Cell X has a small vacuole is not mentioned in the provided characteristics, so we cannot determine the size of the vacuole in Cell X.
On the other hand, Cell Y not having a cell wall is mentioned, which is a characteristic specific to animal cells.Cell Y does not have a cell wall.
The correct statement based on the given information is that Cell Y has a large vacuole, while the other statements cannot be determined from the provided characteristics.
The correct statement about the two cells is: Cell Y has a large vacuole.
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An oven used 7.31 units of electricity over
4 hours.
What is the rate of electricity usage for this
oven in units per hour?
Give your answer to 1 d.p.
The rate of electricity usage for the oven is 1.8275 units per hour.
What is the rate of electricity usage for the oven?The electricity consumption represents the amount of electrical energy that has been consumed over a specific time in units of Wh (or kWh),
To get rate of electricity usage for the oven in units per hour, we will divide the total electricity used by the number of hours.
Data:
Electricity used: 7.31 units
Time: 4 hours
Rate of electricity usage = Electricity used / Time
Rate of electricity usage = 7.31 units / 4 hours
Rate of electricity usage = 1.8275 units per hour.
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100 Points! Geometry question. Photo attached. Find the area of the figure. Round to the nearest tenth if necessary. Please show as much work as possible. Thank you!
Answer:
626.71 cm^2
Step-by-step explanation:
Area of figure = area of half circle + Area of half circle + area of a rectangle
here, diameter=15 cm
radius = 15/2=7.5 cm
length=30cm
breadth=15cm
Now
Area of figure = 1/2*π*radius^2+ 1/2*π*radius^2+length*breadth
=1/2* 1/2*π*7.5^2+1/2* 1/2*π*7.5^2+30*15
=626.71 cm^2
Jckson plans to make an open box with the dimensions shown as a prop for the school play. the dimensions are 5 3.75 and 2.5
Based on the assumption mentioned above, the dimensions of the open box would be:
Length: 5 units
Width: 3.75 units
Height: 2.5 units.
To create an open box as a prop for the school play, Jackson will need three dimensions: length, width, and height. The given dimensions provided are 5, 3.75, and 2.5, but it is not specified which dimension corresponds to which measurement.
To determine which dimension represents which measurement (length, width, or height), we need additional information or clarification. Typically, the length refers to the longest side of the box, the width is the shorter side, and the height is the vertical dimension.
If we assume that 5 represents the length, 3.75 represents the width, and 2.5 represents the height, we can proceed with those dimensions. However, it's important to note that without confirmation or further context, this assumption may not be accurate.
Therefore, based on the assumption mentioned above, the dimensions of the open box would be:
Length: 5 units
Width: 3.75 units
Height: 2.5 units.
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Need this asap will give brainliest
Answer:
Angles 3 and 5 are consecutive interior angles.
y=-2x-1; y=-2x+6; is this parallel, perpendicular, or neither
Answer:
Step-by-step explanation:
first, to find if they are perpendicular, we would have to determine their slopes.
y=-2x-1, we know that the slope is -2 (due to y=mx+b, where m is the slope)
y=-2x+6, we also know that the slope is -2.
since the slope is equal, it would be parallel.
However, if the slopes were negative reciprocals, (e.g. 1/2 & -2) they would be perpendicular.
If the slopes were neither negative reciprocals or equal, it would be neither.
Find the x-intercept and the y-intercept of the line below. Click on "None" if applicable.
65
-3
2
8
4
K
The x- and y-intercepts of the graph are:
x-intercept: -7y-intercept: 14Finding the x- and y-intercepts of the graphFrom the question, we have the following parameters that can be used in our computation:
-4x + 2y = 28.
For the x-intercepts, we set y to 0
So, we have
-4x = 28
Evaluate
x = -7
For the y-intercepts, we set x to 0
So, we have
2y = 28
Evaluate
y = 14
Hence, the x- and y-intercepts of the graph are -7 and 14, respectively
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Question
Find the x-intercept and the y-intercept of the line below. Click on "None" if applicable.
-4x + 2y = 28.
Write the quadratic equation in standard form that corresponds to the graph shown below.
The quadratic equation in standard form that corresponds to the given graph is [tex]f(x) = (-4/9)(x + 2)^2 + 4[/tex]
To determine the quadratic equation in standard form that corresponds to the given graph, we need to identify the key features of the parabola. From the graph, we can see that the parabola opens upwards and intersects the y-axis at the point (0, c). We can also observe that the vertex of the parabola lies at the point (h, k).
The standard form of a quadratic equation is given as follows:
[tex]f(x) = a(x - h)^2 + k[/tex]
Where (h, k) represents the coordinates of the vertex, and 'a' is a constant that determines the shape and direction of the parabola.
Looking at the graph, we can determine the vertex by identifying the x-coordinate where the parabola reaches its highest or lowest point. Let's assume the vertex is located at the point (h, k).
From the graph, it appears that the vertex lies at (-2, 4). Therefore, we have h = -2 and k = 4.
Now we can rewrite the equation as:
[tex]f(x) = a(x + 2)^2 + 4[/tex]
Next, we need to determine the value of 'a'. To do this, we can use another point on the graph. Let's consider the point (1, 0).
Plugging in the coordinates (1, 0) into the equation, we get:
[tex]0 = a(1 + 2)^2 + 4[/tex]
0 = 9a + 4
9a = -4
a = -4/9
Now we have the value of 'a'. Substituting it back into the equation, we get:
[tex]f(x) = (-4/9)(x + 2)^2 + 4[/tex]
Thus, the quadratic equation in standard form that corresponds to the given graph is:
[tex]f(x) = (-4/9)(x + 2)^2 + 4[/tex]
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Help Quickly! A truck needs 7 gallons of fuel to travel 56 miles. Can the truck travel 48 miles with 6 gallons of fuel? Explain.
Giving brainliest
Yes, 7/56 and 6/48 are proportional because 7×48 = 56×6. Therefore, the correct answer is option B.
Given that, a truck needs 7 gallons of fuel to travel 56 miles.
The truck travel 48 miles with 6 gallons of fuel.
Here, the proportion is
7:56::6:48
We know that, the proportion is product of extremes = product of means
7×48 = 56×6
336 = 336
Therefore, the correct answer is option B.
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pls help me solve this asap
Answer:
150
Step-by-step explanation:
the formula for this is 2a squared + 4 a h
when we plug everything in we end up getting 2*3 squared + 4*3*11
and when solved it gets toy 150
Erica is 33 years old. She has $580 in a checking account, $3400 in a savings
account, $22,000 in a retirement account, and owns a car worth $7700. What
is the total value of her liquid assets?
A. $3400
B. $3980
C. $33,680
D. $29,700
The total value of her liquid assets would be = $3,980. That is option B.
What is a liquid asset?An asset is said to be a liquid asset because it can easily be converted into cash in a short period of time.
Examples of liquid assets include the following:
Cash in checking accountCash in savings accountTherefore, the total value of liquid assets = $580+$3400 = $3980
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100 Points! Geometry question. Find each measure. Photo attached. Please show as much work as possible. Thank you!
Answer:
a. 73°
b. 98°
Step-by-step explanation:
In quadrilateral EFGH
∡E+∡G=180° sum of opposite angle of quadrilateral inside the circle is 180°
substituting value
11x+8+8x+1=180°
19x+9=180°
19x=180=9
19x=171
x=171/19
x=9°
similarly,
∡H+∡F=180° sum of opposite angle of quadrilateral inside the circle is 180°
substituting value
6y-4+5y-3=180°
11y-7=180°
11y=180°+7
11y=187°
y=187/11
y=17°
Now
a. m∡G=8x+1=8*9+1=73°
b. m∡H=6y-4=6*17-4=98°
Given that tanx = 10 and sinx is negative, determine sin(2x), cos(2x), and tan(2x)
Sin(2x) = 20 x cos²(x), cos(2x) = -99 x cos²(x), and tan(2x) = -20/99.
How did we get the value?To find the values of sin(2x), cos(2x), and tan(2x) using the given information, use trigonometric identities to express them in terms of tan(x) and sin(x).
Given that tan(x) = 10 and sin(x) is negative. Since tan(x) = sin(x)/cos(x), find cos(x) using the given information.
Let's solve for cos(x) first:
tan(x) = sin(x)/cos(x)
10 = sin(x)/cos(x)
Now, let's find sin(x) using the given information that sin(x) is negative:
Since tan(x) = sin(x)/cos(x) and tan(x) = 10, substitute 10 for sin(x)/cos(x):
10 = sin(x)/cos(x)
Multiplying both sides by cos(x):
10 x cos(x) = sin(x)
Now, sin(x) = 10 x cos(x).
Since sin(x) is negative, conclude that cos(x) must be positive.
Now, let's use the double-angle identities to find sin(2x), cos(2x), and tan(2x):
sin(2x) = 2 x sin(x) x cos(x)
cos(2x) = cos²(x) - sin²(x)
tan(2x) = sin(2x) / cos(2x)
Substituting sin(x) = 10 x cos(x) into the above formulas, express sin(2x), cos(2x), and tan(2x) in terms of cos(x):
sin(2x) = 2 x (10 x cos(x)) x cos(x) = 20 x cos²(x)
cos(2x) = cos²(x) - (10 x cos(x))² = cos²(x) - 100 x cos²(x) = -99 x cos²(x)
tan(2x) = sin(2x) / cos(2x) = (20 x cos²(x)) / (-99 x cos²(x)) = -20/99
Therefore, sin(2x) = 20 x cos²(x), cos(2x) = -99 x cos²(x), and tan(2x) = -20/99.
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of x. i) Let f: R-R be defined by f(x) = mx + c, x = R. If f(0) = 5 and f(1) = 6, find the values. of m and c. Also, find the function f(x).
The values of m and c are m = 1 and c = 5.
The function f(x) is given by: f(x) = x + 5
How to solve the functionTo find the values of m and c in the function f(x) = mx + c, we can use the given information that f(0) = 5 and f(1) = 6.
Let's substitute x = 0 into the function:
f(0) = m(0) + c = 0 + c = c
We know that f(0) = 5, so c = 5.
Now let's substitute x = 1 into the function:
f(1) = m(1) + c = m + c = m + 5 = 6
Subtracting 5 from both sides, we have:
m + 5 - 5 = 6 - 5
m = 1
Therefore, the values of m and c are m = 1 and c = 5.
The function f(x) is given by:
f(x) = mx + c
f(x) = 1x + 5
f(x) = x + 5
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50 Points! Multiple choice geometry question. Photo attached. Thank you!
Answer: A = 83.75
Step-by-step explanation:
A=a+b
2h=12.5+21
2·5=83.75
b. Does there appear to be any relationship between these two variables?
a. colder average low-temperature seems to lead to higher amounts of snowfall
b. there is no relationship
c. colder average low-temperature seems to lead to lower amounts of snowfall
c. Based on the scatter diagram, comment on any data points that seem to be unusual.
an average snowfall of nearly 100 inches.
a. no city has
b. only one city has
c. two cities have
d. three cities have
e. four cities have
f. more than four cities have
1. There is no relationship
2. Two cities have an average snowfall of nearly 100 inches.
What is the scatter plot?
A scatter plot, also known as a scatter diagram or scatter graph, displays the relationship between two variables. It is particularly beneficial for identifying any patterns or trends in the data and showing how one variable might be related to another.
In a scatter plot, each data point is represented on the graph by a dot or marker. The horizontal axis (x-axis) is frequently used to represent the independent variable or predictor, while the vertical axis (y-axis) is frequently used to represent the dependent variable or reaction. Each dot's locations on the graph correspond to the values of the two variables for that particular data point.
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A stainless steel patio heater is a square pyramid. the length of one of the base is 23.8. The slant height of the pyramid is 89.3 in. What is the height of the pyramid?
To find the height of the square pyramid, we can use the Pythagorean theorem. The slant height of the pyramid (s) is the hypotenuse of a right triangle formed by the height (h), half the length of the base (b/2), and the slant height.
Using the Pythagorean theorem:
s^2 = (b/2)^2 + h^2
We are given that the length of one of the base sides (b) is 23.8 and the slant height (s) is 89.3.
Plugging in the values:
89.3^2 = (23.8/2)^2 + h^2
Simplifying:
h^2 = 89.3^2 - (23.8/2)^2
h^2 = 7950.49 - 141.64
h^2 = 7808.85
Taking the square root of both sides:
h = √7808.85
h ≈ 88.37
Therefore, the height of the square pyramid is approximately 88.37 inches.[tex]\huge{\mathcal{\colorbox{black}{\textcolor{lime}{\textsf{I hope this helps !}}}}}[/tex]
♥️ [tex]\large{\textcolor{red}{\underline{\texttt{SUMIT ROY (:}}}}[/tex]
If s(x) = 2x² and f(x) = 3x, which value is equivalent to (s-f)(-7)?
O-439
O-141
O 153
O 443
The value of expression (s - f) (- 7) would be,
⇒ (s - f) (- 7) = 119
We have to given that,
Functions are defined as,
⇒ s (x) = 2x²
⇒ f (x) = 3x
Now, We can find the value of (s - f) (- 7) is,
⇒ (s - f) (- 7)
⇒ s (- 7) - f (- 7)
⇒ 2 (- 7)² - (3 × - 7)
⇒ 2×49 + 21
⇒ 98 + 21
⇒ 119
Therefore, The value of expression (s - f) (- 7) would be,
⇒ (s - f) (- 7) = 119
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Question #3
Determine if the following scenario is best described as an observational study, survey, or experiment.
A researcher wants to determine the effects of eating a vegan diet on overall health. The researcher finds 200 individuals, where
of them have eaten vegan for the past five years and the other 100 have not eaten vegan for the past five years. The participants
each given a health assessment and the data is analyzed in order to draw conclusions about how eating vegan can affect one's
overall health.
Experimental Study
Observational study
Saved Survey
The type of sytudy that we have here is the observational study.
What is the observational study?
In an observational study, the researcher observes and analyzes data from individuals without actively intervening or manipulating any variables.
In this case, the researcher is observing and comparing the health outcomes of two groups of individuals: those who have eaten a vegan diet for the past five years and those who have not.
The participants are not randomly assigned to the groups, and the researcher does not actively control or manipulate the diet of the individuals.
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find the perimeter of a rectangle where the width is 2x^2 + 5x-4 and the length is 3x+2
Answer:
The perimeter of the rectangle is P = 4x^2 + 16x - 4.
Step-by-step explanation:
1. L = 3x + 2, W = 2x^2 + 5x - 4
2. P = 2(L + W)
3. P = 2((3x + 2) + (2x^2 + 5x - 4))
4. P = 2(2x^2 + 8x - 2)
5. P = 4x^2 + 16x - 4
4 - 32 x (-0.25)-12/ 1/3
Answer:
8x is your answer.
Step-by-step explanation:
The photo shows how it's solved.
helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer: $1.50 for every 1 pound
Step-by-step explanation:
If 2 pounds equal to $3.00 divide $3.00 by 2 and you end up with $1.50, you can also keep adding $1.50 to get the other prices.
The Burj Khalifa, located in Dubai in the United Arab Emirates, is the tallest building in the world as of 2022. Andre visited Dubai over winter break. He stood 1000 meters away from the building, looked up at a 39.62 degree angle using a laser rangefinder and spotted the top of the building.
Andre
If every floor is 5.079 meters tall, how many floors are there in the Buri Khalifa?
The Burj Khalifa, located in Dubai in the United Arab Emirates, is the tallest building in the world as of 2022, there are approximately 148 floors in the Burj Khalifa.
We can make use of the data given to determine the Burj Khalifa's floor count.
Andre is known to have stood 1,000 metres away from the structure and turned his head to look up at a 39.62 degree angle.
Let's write "h" for the Burj Khalifa's height and "d" for Andre's distance from the building's base.
tan(39.62°) = h / d
h = d * tan(39.62°)
h = 1000 * tan(39.62°) ≈ 753.7 meters
So, as per this, Number of floors = h / floor height
Number of floors = 753.7 meters / 5.079 meters
Number of floors ≈ 148.4 floors or 148 floors.
Thus, 148 floors are there in Burj Khalifa.
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Pls help me with this asap
Container #1 is the only one large enough to hold the contents of a one liter bottle of soft drink.
Container #1: The volume formula for a cylinder is V = πr²h, where r is the radius and h is the height.
Radius (r) = 8 cm / 2 = 4 cm
Height (h) = 19 cm
So, V1 = π(4 cm)²(19 cm)
≈ 3032.07 cm³
Container #2:
Radius (r) = 5 cm
Height (h) = 12 cm
Using the formula:
V2 = π(5 cm)²(12 cm)
≈ 942.48 cm³
Container #3:
Diameter (d) = 12 cm
Radius (r) = 12 cm / 2 = 6 cm
Height (h) = 10 cm
V3 = π(6 cm)²(10 cm)
≈ 1130.97 cm³
Now, Comparing the volumes:
V1 ≈ 3032 cm³
V2 ≈ 942 cm³
V3 ≈ 1131 cm³
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Solve for x. Round your answers to two decimal places.
2x2 + 7x = 3
Answer:
[tex]x\approx0.39,-3.89[/tex]
Step-by-step explanation:
[tex]\displaystyle 2x^2+7x=3\\2x^2+7x-3=0\\\\x=\frac{-7\pm\sqrt{7^2-4(2)(-3)}}{2(2)}\\\\x=\frac{-7\pm\sqrt{49+24}}{4}\\\\x=\frac{-7\pm\sqrt{73}}{4}\\\\x\approx0.39,-3.89[/tex]
a shade of paint purple berry can be made by mixing red and blue paint in the ratio 5:2. Emma has 30 litres of red paint and 10 litres of blue paint.work out the maximum volume of purple berry that can be made
Answer:The max volume of Purple berry paint is 85
Step-by-step explanation:
Purple = Red + Blue
P = 5 : 2
Simplify 5 : 2 which is 2.5 : 1
P = 30L : 10L
P = (30 x 2.5 ) + (10 x 1)
P = 75 + 10
P = 85 L
A number cube is rolled 500 times. Here are the results: Outcome Rolled 1 2 3 4 5 6 Calculate the following probabilities to the nearest thousandth. The theoretical probability of rolling a 5 or 6 The experimental probability of rolling a 5 or 6 [Choose ] Number of Rolls 81 95 79 89 80 76 [Choose]
Answer:
The theoretical probability of rolling a 5 or 6 can be calculated by finding the sum of the probabilities of rolling a 5 and rolling a 6. Since the number cube has 6 equally likely outcomes, the probability of rolling a 5 or 6 is:
Theoretical probability = (probability of rolling a 5) + (probability of rolling a 6)
= 1/6 + 1/6
= 2/6
= 1/3
The experimental probability of rolling a 5 or 6 can be calculated by dividing the number of times a 5 or 6 was rolled by the total number of rolls. From the given data, the number of rolls for each outcome is:
Outcome | Number of Rolls
1 | 81
2 | 95
3 | 79
4 | 89
5 | 80
6 | 76
Experimental probability = (number of times a 5 or 6 was rolled) / (total number of rolls)
= (number of times a 5 was rolled + number of times a 6 was rolled) / 500
= (80 + 76) / 500
= 156 / 500
= 0.312
Therefore, the theoretical probability of rolling a 5 or 6 is 1/3, and the experimental probability is approximately 0.312.
Step-by-step explanation:
100 Points! Geometry question. Photo attached. Use the Pythagorean Theorem to find x. Please show as much work as possible. Thank you!
The value of x is approximately 34.02.
Given that in a rectangle with length 31 and width is 14 and the diagonal length is x.
To find the value of x using the Pythagorean Theorem, we can consider the rectangle as a right triangle, where the length and width of the rectangle form the two sides of the triangle, and the diagonal length (x) is the hypotenuse.
According to the Pythagorean Theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Applying the given data gives,
[tex]x^2 = length^2 + width^2[/tex]
Substituting the given values into the equation:
diagonal length [tex]x^2 = 31^2 + 14^2[/tex]
diagonal length [tex]x^2[/tex] = 961 + 196
diagonal length [tex]x^2[/tex] = 1157
To find x, we take the square root of both sides:
diagonal length x = [tex]\sqrt{1157}[/tex]
diagonal length x = 34.02
Therefore, the value of x is approximately 34.02.
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I NEED HELP WITH MATH STATISTICS
The limits for the 95% confidence interval are given as follows:
Lower limit: 0.65.Upper limit: 0.77.What is a confidence interval of proportions?A confidence interval of proportions has the bounds given by the rule presented as follows:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which the variables used to calculated these bounds are listed as follows:
[tex]\pi[/tex] is the sample proportion, which is also the estimate of the parameter.z is the critical value.n is the sample size.The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
The parameters for this problem are given as follows:
[tex]n = 225, \pi = \frac{159}{225} = 0.7067[/tex]
Then the lower bound of the interval is given as follows:
[tex]0.7067 - 1.96\sqrt{\frac{0.7067(0.2933)}{225}} = 0.65[/tex]
The upper bound of the interval is given as follows:
[tex]0.7067 + 1.96\sqrt{\frac{0.7067(0.2933)}{225}} = 0,77[/tex]
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