Answer:
0
Step-by-step explanation:
Given two trig ratios find the third!
Answer:
Step-by-step explanation:
A trig identity is tan(x) = sin(x)/cos(x) so
tan(A) = (4/7)/(3/7) = 4/3
HELP HELP HELP!!! NUMBER 3 PLEASE!!!
Answer:
see the attachment, answers there
Brittany asked her classmates: How much time, in minutes, do you spend reading each day? Here are the results: 10, 20, 20, 20, 30, 30, 30, 30, 30, 40, 40, 40, 60, 60, 60 Display the data in a line plot, a histogram, and a box plot. Next to each graph, write down something you notice about the data. Upload your completed plots here.
The line plot, histogram, and box plot provide different visual representations of the reading time data. By analyzing these plots, we can observe the distribution and characteristics of the data, such as central tendency, spread, and outliers.
Line Plot:
A line plot displays data points on a number line, representing the frequency or count of each value.
In this case, the line plot will show the minutes spent reading on the x-axis and the count of students on the y-axis.
For the given data, the line plot will show 10, 20, 30, 40, and 60 on the x-axis, with the corresponding counts displayed above each value.
Histogram:
A histogram displays data distribution by dividing the range of values into intervals or bins and representing the frequency of values falling into each bin.
The histogram will have the minutes spent reading on the x-axis and the count or frequency of students on the y-axis.
The intervals will be 10-19, 20-29, 30-39, 40-49, and 50-59, with the last interval being 60+.
The height of each bar in the histogram will represent the number of students falling into each interval.
Box Plot:
A box plot (also known as a box-and-whisker plot) provides a visual representation of the distribution of data, including measures of central tendency and variability.
The box plot will show a horizontal line inside a box, with whiskers extending from the box, and possibly individual data points beyond the whiskers.
The box will represent the interquartile range (IQR), showing the middle 50% of the data.
The line within the box will represent the median value.
The whiskers will indicate the minimum and maximum values, excluding outliers.
By analyzing these plots, you can observe the central tendency, spread, and distribution of the reading time data. For example, you can identify any outliers, notice the most common reading durations, and observe any patterns or trends within the dataset.
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A square pyramid has a height of 25 feet and each side of the base has a length of 15 ft.
If a model of the square pyramid is scaled down by a factor of 15, what is the surface area of the model?
A)40.32 ft.2
B)161.28 ft.2
C)256.20 ft.2
D)64.05 ft.2
Answer:
Step-by-step explanation:
answer is A)40.32
What is the circumference of a circle with a radius of 14 feet use 22/7 for pi
2,464?” Feet
616 feet
88 feet
44 feet
The circumference of a circle with a radius of 14 feet is 88 feet.
What precisely is a circle?Every point in the surface of a circle, which is a circular, two-dimensional object, is evenly separated from the centre. All lines that cross the circle join together to produce the line of reflected symmetry. Each angle has axis of symmetry around the centre, in addition. Monitoring a linear interpolation in a surface while keeping a fixed distance from some other point will result in the closed shape of a circle. The English term circle derives from the Greek word curriculum provides students, which also means hoop or ring.
When we find the circumference, we obtain:
The circumference( C) of a circle is 2πr.
C=2πr
⇒C=2×\(\frac{22}{7}\)×14=88 feet.
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Write the equation of the line for a line that passes through (4, 4) and (1, -2).
\((\stackrel{x_1}{4}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{4}}}\implies \cfrac{-6}{-3}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{2}(x-\stackrel{x_1}{4}) \\\\\\ y-4=2x-8\implies y=2x-4\)
Step-by-step explanation:
(4, 4) and (1, -2).
(x1,y1) and (x2,y2)
slope=(y2-y1/x2-x1)
m= -2-4/1-4
m=2
slopeintercept form
y=2x-4
point slope form
y-4=2(x-4)
(9.6 × 109) – (8.9 × 109) = Question 3 options: A) 1.85 × 108 B) 7.0 × 108 C) 0.7 × 108 D) 18.5 × 1018
Answer:
Neither
Step-by-step explanation:
I did all of the steps and the closest answer was C) the actual answer is 76.3, but C was the closest it was 75.6
Simplify the polynomial ab−a^2−2ab+a^2−4 and find its value if a=1/3 and b=2.
Ali, Basti and Cian stand at three points A, B and C respectively. Suppose that the measure of angle ABC is 50 degrees , the measure of angle BAC is 60 degrees and Ali is exactly 150 ft away from Basti. Find the distance between Basti and Cian.
To find the distance between Basti and Cian, we can use the law of sines in triangle ABC. The law of sines states that the ratio of the length of a side to the sine of the opposite angle is constant for all sides and their corresponding angles in a triangle.
Let's label the distance between Basti and Cian as "x". We know that the measure of angle ABC is 50 degrees and the measure of angle BAC is 60 degrees. We also know that Ali is exactly 150 ft away from Basti.
Using the law of sines, we can set up the following equation:
sin(50°) / 150 = sin(60°) / x
To solve for "x", we can rearrange the equation:
x = (150 * sin(60°)) / sin(50°)
Using a calculator, we can evaluate the expression:
x ≈ (150 * 0.866) / 0.766
x ≈ 168.4 ft
Therefore, the distance between Basti and Cian is approximately 168.4 ft.
8 divided by 1 4/5 in either fraction form or just number
Answer:
4.44444444444 or 40/9
Step-by-step explanation:
i searched it up
8 divided by 1 4/5 in fraction form will be 40 / 9. Then the faction number 40 / 9 in the decimal form will be 4.4444.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.
The mixed fraction number is converted into a faction number.
⇒ 1 4/5
⇒ 1 + 4/5
⇒ (5 + 4) / 5
⇒ 9/5
Then the quotient of the numbers 8 and 9/5 will be given as,
⇒ 8 / (9/5)
⇒ 8 x 5 / 9
⇒ 40 / 9
The faction number 40 / 9 in the decimal form will be 4.4444.
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find the value of x A. 100B. 110C. 80D. 40
Answer
Option B is correct.
x = 110°
Explanation
The key to solving this is shown in this image attached below
From the image, we can apply this to the question and see that
½ (210° - x) = 50°
Multiply both sides by 2
210° - x = 100°
x = 210° - 100°
x = 110°
Hope this Helps!!!
find the perimeter of OQR
The perimeter of the triangle OQR is 68 cm
How to determine the perimeter of the triangle OQRFrom the question, we have the following parameters that can be used in our computation:
Circles with the centers O, Q and R
When these centers are connected, the connection forms a triangle
The triangle OQR
Also from the question, we have the following values of radii
Radii = 8 cm, 11 cm and 15 cm
The perimeter of the triangle OQR is calculated as
Perimeter = Twice the sum of the radii
Substitute the known values in the above equation, so, we have the following representation
Perimeter = 2 *(8 + 11 + 15)
Evaluate the sum
Perimeter = 2 * 34
Evaluate the products
Perimeter = 68
Hence, the perimeter is 68 cm
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Identify the angles that are coterminal with 135 degrees choose all that apply
Answer:ok
Step-by-step explanation:
In a survey of 2266 adults, 736 say they believe in UFOs. Construct a 90% confidence interval for the population proportion of adults who believe in UFOs. A 90% confidence interval for the population proportion is ( ?, ?).
(Round to three decimal places as needed.)
Part 2
Interpret your results. Choose the correct answer below.
A.
With 90% probability, the population proportion of adults who do not believe in UFOs is between the endpoints of the given confidence interval.
B.
The endpoints of the given confidence interval shows that 90% of adults believe in UFOs.
C.
With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.
D.
With 90% confidence, it can be said that the sample proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.
The 90% confidence interval for the population proportion of adults who believe in UFOs is (0.309, 0.339).
C. With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.
To construct a 90% confidence interval for the population proportion of adults who believe in UFOs, we can use the formula:
Confidence Interval = Sample Proportion ± Margin of Error
First, we calculate the sample proportion:
Sample Proportion \(\hat{p}\) = Number of adults who believe in UFOs / Total number of adults surveyed = 736 / 2266 ≈ 0.324
Next, we need to calculate the margin of error.
Since we are dealing with a large sample size, we can use the formula for a 90% confidence interval:
Margin of Error\(= Z \times \sqrt{(\hat{p} \times (1 - \hat{p}) / n)}\)
Here, Z represents the z-value for a 90% confidence level, which corresponds to a z-value of 1.645. n represents the sample size.
Margin of Error\(= 1.645 \times \sqrt{(0.324 \times (1 - 0.324) / 2266)}\) ≈ 0.015
Finally, we can construct the confidence interval:
Confidence Interval = 0.324 ± 0.015 = (0.309, 0.339)
Therefore, the 90% confidence interval for the population proportion of adults who believe in UFOs is (0.309, 0.339).
Now, let's interpret the results.
The correct answer is:
C. With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.
This means that we are 90% confident that the true proportion of adults who believe in UFOs falls within the range of 0.309 to 0.339.
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Quadrilateral MNPQ is rotated at 90 degrees counterclockwise about the origin and then rotated 270 degrees counterclockwise about the origin
After the double rotation, the vertices of the quadrilateral MNPQ are transformed to M'', N'', P'', and Q''. The shape of the quadrilateral may have changed, but the order of the vertices remains the same.
When a quadrilateral MNPQ is rotated counterclockwise at 90 degrees about the origin, each vertex undergoes a transformation.
The new positions of the vertices after this rotation can be denoted as M', N', P', and Q'. The order of the vertices remains the same.
Next, when the rotated quadrilateral M'N'P'Q' is further rotated counterclockwise at 270 degrees about the origin, each vertex undergoes another transformation.
The new positions of the vertices after this rotation can be denoted as M'', N'', P'', and Q''. Again, the order of the vertices remains the same.
It's important to note that a 270-degree counterclockwise rotation is equivalent to a 90-degree clockwise rotation.
The result of the double rotation is equivalent to a single clockwise rotation of 90 degrees.
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Vanessa can paint a room in 6 hours. Heather can paint the same in 10 hours. How long does it take for both Vanessa and heather to paint the room if they are working together?
Answer:
around 4 maybe?
Step-by-step explanation:
simplify 13¹/3+2¹/3-10/2
The simplified form of 13¹/3 + 2¹/3 - 10/2 is a fraction 64/6 that can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2 the final answer is 32/3.
Given
13¹/3+2¹/3-10/2
Required simplified it =?
First, we have simplified both constants separately
13¹/3 = (3 * 13 + 1) / 3 = 40/3
2¹/3 = (3 * 2 + 1) / 3 = 7/3
now the expression become = 40/3 + 7/3 - 10/2
now taking LCM of 3 and 2 which is 6.
= 80/6 + 14/6 - 30/6
now we have to simplify this fraction by dividing by 2 = 64/6
Therefore, the simplified form of 13¹/3 + 2¹/3 - 10/2 is 32/3.
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what is the median of numbers 20,35,28,15,22,36,26
The median of the given data set is 26.
What is the median?In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.
Given the data set, we need to find the median.
So, let's arrange the numbers from smallest to largest in order to find the median.
\(\sf 15,20,22,26,28,35,36.\)
\(\text{Median}=\sf 26\)
Therefore, the median of the data set is 26.
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Scores on a common final exam are normally distributed with mean 71 and standard deviation 9. Department policy is that the top 10% of students receive an A. The minimum exam score to be awarded an A is about:
Answer:
The minimum exam score to be awarded an A is about 8.52.
Step-by-step explanation:
Let X represent the scores on a common final exam.
It is provided that X follows a normal distribution with mean, μ = 71 and standard deviation, σ = 9.
It is provided that according to the department policy is that the top 10% of students receive an A.
That is, P (X > x) = 0.10.
⇒ P (X < x) = 0.90
⇒ P (Z < z) = 0.90
The corresponding z-score is:
z = 1.28
Compute the value of x as follows:
\(z=\frac{x-\mu}{\sigma}\\\\1.28=\frac{x-71}{9}\\\\x=71+(1.28\times 9)\\\\x=82.52\)
Thus, the minimum exam score to be awarded an A is about 8.52.
If the car had not crashed into the fence, it would have skidded approximately another _____ before it came to a complete stop. (2 points)
The car would have skidded a further 625 metres of distance before coming to a complete halt if it hadn't slammed into the fence.
What is distance?How far apart objects or points are from one another is expressed numerically as distance. It is a scalar value that counts the distance travelled by an object between two places. There are numerous ways to measure distance, including in metres, kilometres, feet, miles, etc. For calculating other numbers, like speed or velocity, in physics, distance and time are frequently combined.
For instance, dividing the distance an object has gone by the amount of time it took to cover that distance can be used to determine its speed. The spatial relationships between objects or points are described using distance in many different disciplines, such as geography, navigation, and astronomy.
given:
We must know the car's initial speed as well as its deceleration in order to respond to this question (rate of slowing down).
With that knowledge in hand, we can apply the method below to determine how far the car would have skidded before coming to a complete stop:
distance = (v²) / (2a)
When the car's initial speed (v) and deceleration (a) are both given.
For instance, we could figure out how far the car skidded if its initial speed was 50 km/h and the deceleration was 5 m/s².
distance is equal to (50 km/h) / (2 * 5 m/s)
around 625 metres.
The car would have skidded a further 625 metres before coming to a complete halt if it hadn't slammed into the fence.
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12. Shanti's sister Uri is Shanti's age plus 3 years. Uri is 7 years old. Write an
equation to find Shanti's age.
The equation to find Shanti's age is y = x - 3 where y is Shanti's age.
Given,
Shanti's sister Uri is Shanti's age plus 3 years.
Uri is 7 years old.
We need to write an equation to find Shanti's age.
We have,
Uri age = Shanti age + 3______(1)
Uri = 7 years old
Putting in (1)
We get,
Uri age = Shanti age + 3
7 = Shanti age + 3
Subtracting 3 on both sides.
7 - 3 = Shanti age + 3 - 3
4 = Shanti age
We see that Shanti's age is 4 years old.
If we have to write an equation then,
Consider Uri's age to be x and Shanti's age to be y.
Now,
Uri age = Shanti age + 3
x = y + 3
Subtracting 3 on both sides
x -3 = y
y = x - 3 is our equation.
Thus the equation to find Shanti's age is y = x - 3.
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Use the function g(x)=11 to find the following values g(-3), g(5), g(a), g(a+h)
The evaluated function values are g(-3) = 11, g(5) = 11, g(a) = 11 and g(a+h) = 11
Evaluating the function valuesA composite function is a function that results from combining two or more functions. It is created by using the output of one function as the input of another function.
The function g(x) is defined as g(x) = 11, which means that the output of the function is always 11, no matter what value of x is inputted.
i.e. the function g(x) = 11 always returns the value 11, regardless of the input.
Therefore, we have:
g(-3) = 11
g(5) = 11
g(a) = 11
g(a+h) = 11
So, regardless of the value of a or h, the function g(x) will always return 11.
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pick correct graph from multiple choice options. A. B. C. D.
Answer:
your answer is ...
Step-by-step explanation:
Question 2.2 write down the general formula for the nth term of sequence. Mystic Rose
Answer:
The nth term of an arithmetic sequence is given by. an = a + (n – 1)
Answer:
The nth term of an arithmetic sequence is given by an = a + (n – 1)d. So, to find the nth term, substitute the given values a = 2 and d = 3 into the formula.
Step-by-step explanation:
Answer the question based on the data in the two-way table.
Grades
Gender
Below Above
Average Average
Boy 14 23
Total
37
Girl
16
22
38
Total
30
45
75
Which statement is true?
O A. Aboy above average grades) = P(boy)
B.
Pabove average grades boy) = Pabove average grades)
Ос.
Pboy above average grades) # Pabove average grades)
OD. Pabove average grades| boy) = P(boy)
Answer:
d
Step-by-step explanation:
P(boy above average grades) P(above average grades) is the right answer. The correct option is C.
What is conditional probability?The likelihood that event A will occur provided that event B has already happened is known as conditional probability. It is written as "the probability of A given B" and is indicated by the symbol P(A|B).
We must employ conditional probability in order to respond to this inquiry. We are aware that there are 75 pupils in the class overall, with 37 boys and 38 girls. We also know that 22 girls and 23 boys both have GPAs above the national average.
A. Boy with above-average grades equals a boy.
This claim is untrue. The likelihood of picking a guy at random from the class is 37/75, or P(boy). The likelihood of picking a kid from the class who has above-average grades at random is 23/75, or P(boy with average grades). The odds of these two events are not equal.
B. Boy with above-average grades equals P with above-average grades
This claim is untrue. The chance of picking a student with above-average grades at random from the class is P(above average grades), which is (23+22)/75 = 45/75. The likelihood of picking a kid from the class who has above-average grades at random is 23/75, or P(above-average grades boy). The odds of these two events are not equal.
P (boy with above-average grades) C (boy with above-average grades)
This assertion is accurate. P(boy over average grades) = 23/75 and P(above average grades) = 45/75, respectively, are already known values. The odds of these two events are not equal.
D. P(boy | grades over average) = P(boy)
This claim is untrue. The conditional probability that a student will have above average grades given that they are a boy is P(above average grades | boy), which is 23/37. The likelihood of picking a guy at random from the class is 37/75, or P(boy). The odds of these two events are not equal.
Therefore, the correct statement is C. P(boy above average grades) ≠ P(above average grades).
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x^2+4/2 when x =-2 giving brainliest
Answer:
When x = -2 in (x² + 4)/2, 4 is the result.
Step-by-step explanation:
(x² + 4)/2
Substitute value into varaible.
((-2)² + 4)/2
Square -2. Remeber that (-x)² = x²
(4 + 4)/2
Add 4 and 4.
8/2
Divide 8 by 2.
4
Simplify to create an equivalent expression. 7n-(4n-3) a=3n+3 b=3n−3 c=11n+3 d=11n−3 I will rate you brainliest. :)
Answer:
3n +3
Step-by-step explanation:
7n-(4n-3)
Distribute the minus sign
7n -4n +3
3n +3
Find the volume of the pyramid above
Find the surface are of the pyramid above pls help
The volume of the pyramid is 18069333.33 cubic units
The area of the surface is 313280 square units
How to find the volume of the pyramidThe volume of the pyramid is solved using the formula
= 1/2 * base area * height
Where
base area = 440 * 440 = 193600
height = 280
volume of the pyramid = 1/3 * 193600 * 280
volume of the pyramid = 18069333.33 cubic units
The surface area
The surface area is calculated using the formula
= 4 * area of the triangles
= 4 * 1/2 * 440 * 356
= 313280 square units
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does -(-(-e) = -e?
qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq
Answer:
wth is this
show the pic of the question
Duane begins paying a $5,000
student loan with an annual interest rate of 6.5%
compounded monthly. He schedules monthly payments of $118.57
for 4
years.
The following table shows the first payment in the amortization schedule.
Payment
Number Loan
Amount Payment Interest Principal Remaining
Balance
1
$5,000.00
$118.57
?
What amount of Duane's first payment goes to interest?
Responses
The amount of Duane's first payment that goes to interest is approximately $26.47.
To determine the amount of Duane's first payment that goes to interest, we need to use the amortization formula for a loan.
The formula to calculate the interest portion of a loan payment is:
Interest = Remaining Balance * Monthly Interest Rate.
Let's calculate the interest for the first payment using the given information:
Loan Amount = $5,000.00
Monthly Payment = $118.57
First, we need to calculate the monthly interest rate:
Monthly Interest Rate = Annual Interest Rate / 12
= 6.5% / 12
= 0.00542
Next, we need to calculate the remaining balance after the first payment:
Remaining Balance = Loan Amount - Principal Paid
= $5,000.00 - $118.57
= $4,881.43
Finally, we can calculate the interest portion of the first payment:
Interest = Remaining Balance * Monthly Interest Rate
= $4,881.43 * 0.00542
= $26.47
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