The area of the poster is 459 cm².
What is Area?
The area of a two-dimensional shape is the total region that is bounded by the object's shape.
The poster consists of a rectangle and a triangle.
We have to find the area of both and then add it.
Area of a triangle = \(\frac{1}{2}\) × base × height
Here b is the base and a is the height.
Area of triangle = \(\frac{1}{2}\) × 25 × 11 = 137.5 cm²
Area of the rectangle = Length × Width
Here d is the length and c is the width
Area of rectangle= length * width = 19 * 16 = 304cm²
Total area of the poster = 137.5 cm² + 304 cm² = 441.5 cm²
Hence the area of the poster is 441.5 cm².
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Which of the following would produce a narrow interval than 90% confidence interval computed above?
(a) Measure the heights of a random sample of 50 6-year old girls.
(b) Measure the heights of a random sample of 10 6-year old girls.
(c) Computed 95% confidence interval rather than a 90% confidence interval
(d) Computed 99% confidence interval rather than a 90% confidence interval
(e) None of the above
Option (b) Measure the heights of a random sample of 10 6-year-old girls would produce a narrower interval than the 90% confidence interval computed above. Options (a), (c), and (d) would not produce narrower intervals, and the correct answer is (e) None of the above.
To understand which option would produce a narrower interval than the 90% confidence interval computed above, we need to consider the factors that affect the width of the confidence interval. These factors include the sample size and the chosen confidence level. (a) Option (a) suggests measuring the heights of a random sample of 50 6-year-old girls. A larger sample size tends to produce narrower confidence intervals, so this option would likely result in a wider interval than the one computed with a sample size of 18.
(b) Option (b) suggests measuring the heights of a random sample of 10 6-year-old girls. A smaller sample size results in wider confidence intervals due to increased uncertainty, so this option would likely produce a narrower interval compared to the original 90% confidence interval. (c) Option (c) suggests computing a 95% confidence interval rather than a 90% confidence interval. Increasing the confidence level leads to wider intervals to accommodate the increased level of certainty, so this option would result in a wider interval.
(d) Option (d) suggests computing a 99% confidence interval rather than a 90% confidence interval. Similarly, increasing the confidence level to 99% increases the level of certainty and widens the interval. Based on the explanations above, option (b) Measure the heights of a random sample of 10 6-year-old girls is the correct choice as it would produce a narrower interval compared to the 90% confidence interval computed above. Therefore, the answer is (e) None of the above.
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pls I need help really quickly sooo if you see this , help, "Ashley has a right triangular garden in her backyard. The longest side of the garden measures 17 yards. One of the sides is 10 yards long. Find the length of the other side of the garden. (round to the nearest hundredths)"
Answer:
\(\boxed {\tt 13.75 \ yards}\)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean Theorem.
\(a^2+b^2=c^2\)
where \(a\) and \(b\) are the legs and \(c\) is the hypotenuse.
One of the legs is 10 yards, and the other is unknown. The hypotenuse is 17 yards, because it is the longest side.
\(a= 10 \ yd\\b=b\\c= 17 \ yd\)
Substitute the values into the formula.
\((10 \ yd)^2+b^2=(17 \ yd)^2\)
Evaluate the exponents.
(10 yd)²= 10 yd * 10 yd = 100 yd²\(100 \ yd^2+b^2= (17 \ yd)^2\)
(17 yd)²= 17 yd * 17 yd=289 yd²\(100 \ yd^2+b^2= 289 \ yd^2\)
Now, solve for b. First, subtract 100 yards squared from both sides of the equation.
\(100 \ yd^2-100 \ yd^2+b^2= 289 \ yd^2- 100 \ yd^2\)
\(b^2=289\ yd^2-100 \ yd^2\)
\(b^2=189 \ yd^2\)
Finally, take the square root of each side of the equation.
\(\sqrt{b^2} =\sqrt{189\ yd^2}\)
\(b=\sqrt{189 \ yd^2}\)
\(b=13.7477271 \ yd\)
Round to the nearest hundredth. The 7 in the thousandth place tells us to round the 4 to a 5.
\(b \approx 13.75 \ yd\)
The other side of the garden is about 13.75 yards long.
Solve for y in the two equations below using substitution.
3x - 9y = 9
-2x - 2y = 8
Answer:
C
Step-by-step explanation:
3x - 9y = 9 → (1)
- 2x +2y = 8 ( subtract 2y from both sides )
- 2x = - 2y + 8 ( divide through by - 2 )
x = y - 4
substitute x = y - 4 into (1)
3(y - 4) - 9y = 9
3y - 12 - 9y = 9
- 6y - 12 = 9 ( add 12 to both sides )
- 6y = 21 ( divide both sides by - 6 )
y = \(\frac{21}{-6}\) = - \(\frac{7}{2}\)
x^2+25+10 using box method
Answer:
is there a picture of some sort that describes which type of box method to use?
Step-by-step explanation:
If EFGH is a parallelogram, what is the value of X?F(4x - 2)34°GH
Answer:
A. 37
Explanation:
The angles F and G
A hospital can increase the dollar amount budgeted for nurses' overtime wages during the
next year by only 3%. The nurses union has just won a 5% hourly rate increase for the next
year. By what percentage must the hospital cut the number of overtime hours in order to
stay within budget?
The hospital must cut the number of overtime hours by approximately 2.91% in order to stay within budget.
To determine the required percentage reduction in overtime hours, we need to consider the impact of the nurses' hourly rate increase and the limited budget increase for overtime wages.
Let's assume the current budget for nurses' overtime wages is denoted by B, and the total number of overtime hours worked is denoted by H. The current overtime rate per hour is R.
With the 5% hourly rate increase, the new overtime rate per hour becomes 1.05R. Considering the limited budget increase of 3%, the new budget for overtime wages is 1.03B.
To calculate the required percentage reduction in overtime hours, we can set up the following equation:
(1.05R) * (1 - x) * H = 1.03B
where x represents the required percentage reduction in overtime hours.
Simplifying the equation, we have:
(1 - x) * H = (1.03B) / (1.05R)
Now, let's solve for x:
1 - x = (1.03B) / (1.05R * H)
x = 1 - [(1.03B) / (1.05R * H)]
Here, we can see that the required percentage reduction in overtime hours, represented by x, depends on the values of B, R, and H.
It's important to note that without knowing the specific values of B, R, and H, we cannot calculate the exact percentage reduction. However, based on the provided information, we can determine the maximum percentage reduction that the hospital must make to stay within budget.
By assuming that B, R, and H are constant, we can use the given constraints to calculate an approximate percentage reduction. Based on the constraints of a 3% budget increase and a 5% hourly rate increase, the hospital would need to reduce the number of overtime hours by approximately 2.91% to maintain a balanced budget.
Please keep in mind that this approximation may vary depending on the specific values of B, R, and H.
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Translate the point (2, -2) down 2 units and right 4 units
What is 9/10 written as a percent? Responses
Answer:
90% is the answer
Step-by-step explanation:
hope this helps.
evaluate the piecewise function at the given values of the independent variable.g(x) = x+5 if x >= -5-(x+5) if x < -5a) g(0)b) g(-7)c) g(2)
The solution of the piecewise function at the given values of the independent variable g(0) is 5, g(-7) is 12 and g(2) is 7.
This is an example of a piecewise function, which is a function composed of two or more parts, each part being defined by a separate equation.
In this function, the first part is defined as g(x) = x+5 if x >= -5, and the second part is defined as g(x) = -(x+5) if x < -5.
To evaluate the function at the given values of the independent variable, we can simply substitute the values into the appropriate equation.
At x = 0,
=> g(0) = 0+5 = 5.
At x = -7,
=> g(-7) = -(-7+5) = 12.
And at x = 2,
=> g(2) = 2+5 = 7.
Therefore, the values of the function are 5, 12, and 7 respectively
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Kiley spent $45 on food and rides at a carnival. Write an equation for the relationship between the amount she spent on snacks and y, the amount she spent on rides.
total spent is = 45$
let money spent on snack is x
let money spent on rides is y
so the equation of the expenses is ,
x + y = 45
thus, the answer is
x + y = 45
Solve for length of segment c.
3 cm
12 cm
18 cm
C = [?] cm
If two segments intersect inside
or outside a circle: ab = cd
The value of c for the intersecting secants is derived to be equal to 2 cm
What is the intersecting secant theoremThe intersecting secant theorem, also known as the secant-secant theorem, states that when two secant lines intersect outside a circle, the product of the length of one secant segment and its external segment is equal to the product of the length of the other secant segment and its external segment.
c × 18 cm = 3 cm × 12 cm
c18 cm = 36 cm²
c = 36 cm²/18 cm
c = 2 cm
Therefore, the value of c for the intersecting secants is derived to be equal to 2 cm.
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Answer:
c=2cm
Step-by-step explanation:
ab=cd
3•12=18•c
36=18(c)
36/18=2
18(c)=c
c=2
what is 2x+2y=-16 in slope intercept form
Answer:
y=-x-8
Step-by-step explanation:
Hope this helps!
Answer:
y = -x - 8
Step-by-step explanation:
2x + 2y = -16 is in standard form, but we want it in slope-intercept form, which looks like y = mx + b, with m being the slope and b being the y-intercept.
So, first, we'll try to isolate our y on one side. I'll do this by subtracting 2x from both sides.
2x + 2y = -16
2y = -2x - 16
Then, I'll divide everything by 2 to take away the 2 before the y.
y = -x - 8
Does that look like slope-intercept form (y = mx + b)? Yes! So we can say that this is the answer to the question.
If you need clarification on anything, let me know.
superior segway tours gives sightseeing tours around chicago, illinois. it charges a one-time fee of $60, plus $28 per hour. what is the slope of this situation?
So the slope of the scenario is $28 per hour, which indicates that the expense of the tour increases by $28 for every extra hour spent on it.
What is slope?The slope of a line indicates its steepness. Slope is computed mathematically as "rise over run" (change in y divided by change in x). The slope-intercept form of an equation occurs when the equation of a line is stated in the form y = mx + b. The slope of the line is given by m. And b is the value of b in the y-intercept point (0, b). For example, the slope of the equation y = 3x - 7 is 3, while the y-intercept is (0, 7).
Here,
In this situation, the slope represents the rate of change in the cost of the tour with respect to the time spent on the tour. The slope of the situation can be calculated as the change in cost divided by the change in time.
Since the one-time fee is a fixed cost, it does not change with respect to the time spent on the tour. Therefore, the slope can be calculated as the rate of change in the cost due to the hourly fee of $28.
The slope can be represented as:
slope = Δcost/Δtime = $28/hour
So, the slope of the situation is $28 per hour, which means that for every additional hour spent on the tour, the cost of the tour increases by $28.
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The diameter of a circle is 8 cm. Find its circumference in terms of \piπ.
Here is your answer ^^
----------------------------------
C≈25.13cm
Explanation:
C=2πr
d=2r
Solving for C:
C=πd=π·8≈25.13274cm
-------------------------------------
Anyways bye! <3
Kofi wants to find the most-liked snacks to put in the vending machine at his office so the most people will buy from it.
Which of the following strategies would help Kofi ensure a random sample?
A.
He could make an alphabetical list of employees in his office and survey every third employee.
B.
He could survey the first ten people who use the vending machine on a Monday morning.
C.
He could make an alphabetical list of employees in his office and survey the first ten employees.
D.
He could survey the employees who do not buy snacks from the vending machine.
Option (B), he could survey the first ten people who use the vending machine on a Monday morning is the correct answer.
What is random sampling?"Random sampling is a part of the sampling technique in which each sample has an equal probability of being chosen. A sample chosen randomly is meant to be an unbiased representation of the total population".
For the given situation,
Kofi wants to find the most-liked snacks to put in the vending machine at his office so the most people will buy from it.
Random sampling can be done on the basis of surveying the employees who are using vending machines.
Hence we can conclude that option (B), he could survey the first ten people who use the vending machine on a Monday morning is the correct answer.
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Line l passes through the points (-8, 8) and (-4, 0). Write the equation of the image of
after a dilation with a scale factor of 1, centered at the origin.
Write your answer in slope-intercept form.
y =
Please help with geometry question
Answer:
<U=70
Step-by-step explanation:
Straight line=180 degrees
180-120
=60
So, we have 2 angles.
60 and 50
180=60+50+x
180=110+x
70=x
So, U=70
Hope this helps! :)
Which of the following is equal to g(x)
Answer:
the answer is B thats wat equals to g(x)
Answer:
2x or h(x)
Step-by-step explanation:
What's the temperature? The temperature in a certain location was recorded each day for two months. The mean temperature was 76.4 ∘
F with a standard deviation 7.3 ∘
F. What can you determine about these data by using Chebyshev's Inequality with K=3 ? At least % of the days had temperatures between "F and
By using Chebyshev's Inequality with K=3, we can determine that at least 88.89% of the days had temperatures between "F and "F, where "F represents the mean temperature of 76.4°F.
Chebyshev's Inequality provides a lower bound on the proportion of data that falls within a certain number of standard deviations from the mean. In this case, K=3 means that we are considering a range of three standard deviations from the mean.
The inequality states that for any dataset, the proportion of data falling within K standard deviations of the mean is at least 1 - (1/K^2). So, for K=3, we have 1 - (1/3^2) = 1 - (1/9) = 8/9 ≈ 0.8889. Therefore, at least 88.89% of the data falls within three standard deviations of the mean.
In the context of the temperature data, we can conclude that at least 88.89% of the days had temperatures between the mean temperature of 76.4°F minus three standard deviations (76.4 - 3 * 7.3) and the mean temperature plus three standard deviations (76.4 + 3 * 7.3). This range represents a relatively high proportion of the dataset, indicating that the temperature observations are fairly concentrated around the mean with limited extreme values.
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Find y as a function of t if 5y^n+30y=0,
y(0) = 7 y’(0) = 5
y(t) =
The differential equation is \(5y^n+30y=0\). The initial conditions are y(0) = 7 and y’(0) = 5.
The differential equation is:\(5y^n+30y=0\). First, we solve for n which is the exponent of y.
We get:n = -1When n = -1, the differential equation becomes:5(1/y)+30y=0
Rearranging terms, we get:5(1/y) = -30y
Dividing both sides by 5y, we have:-1/y² = -6
This yields: y(t) = \(\sqrt{6}\)/t The initial conditions are:y(0) = 7 and y’(0) = 5
We can now apply the first initial condition to find the value of C_1.C_1 = 7/ \(\sqrt{6}\)
When we apply the second initial condition to solve for C_2, we get: C_2 = 5 \(\sqrt{6}\)
Now, we can write the final answer: y(t) = 7cos(t \(\sqrt{6}\)) + 5 \sqrt{6}sin(t \(\sqrt{6}\))
Thus, the function of y as a function of t is y(t) = 7cos(t \(\sqrt{6}\)) + 5 \sqrt{6}sin(t \(\sqrt{6}\)) which is generated by the differential equation \(5y^n+30y=0\) and initial conditions y(0) = 7 and y’(0) = 5.
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2020-2021 T-Math-Gr7Reg-T1 and T2-CBT: Section 1 - Students may NOT use a calculator.
Question: 1-5
Marissa found
that apply.
shirt that had a 20% markdown on it. If the price of the shirt is represented by x, how much does the shirt cost (excluding tax)? Select all
x(1.00 -0.20)
X-0.80x
X-0.20
ОООООО
0.80x
x(0.20 + 1.00)
0.20x
©
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Complete Question
Marissa found a shirt that had a 20% markdown on it if the price of the shirt is represented by x how much does the shirt cost excluding tax select all that apply
select all that apply
A. 0.20x
B.0.80x
C.x-0.20
D.x-0.80x
E.x(0.2+1.00)
F. x(1.00-0.20)
Answer:
B. 0.80x
F. x(1.00-0.20)
Step-by-step explanation:
The Formula for Selling Price when you have percent markdown is;
Selling price = (1 - percentage mark down)× Original price
From the question:
Selling price= Cost of the shirt(excluding tax)
Original price = x
Percentage markdown = 20%
= 0.20
Hence,
Cost of the shirt(excluding tax)
= (1 - 20%)x
= (1 - 0.20)x
= 0.80x
Option B and F is the correct option
I need help with this question
Answer: b=7
Step-by-step explanation:
6b+7+7b-8=90
6b+7b+7-8=90
13b-1=90
13b=91
b=7
For an experiment, students built mousetrap catapults to launch eraser caps. A cap is launched from a mousetrap on the floor. Its height is modeled by this equation, where x is time in seconds and f(x) is height in feet.
f(x)=−12(x−0.5)2+3
Which graph represents this situation?
Answer:
The one that reaches 3 on y and stays on 0 and 1 for x
Step-by-step explanation:
The top one on the second slide of graphs.
The correct graph is C which represents the given function f(x) = -12(x-0.5)²+3.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
The equation f(x) = -12(x-0.5)²+3 represents the height of an eraser cap launched from a mousetrap catapult on the floor over time in seconds (x).
The graph of this equation will be a downward-facing parabola, with the vertex at (0.5, 3) and an axis of symmetry at x = 0.5.
The maximum height reached by the eraser cap is 3 feet, which occurs at x = 0.5.
As time increases beyond 0.5 seconds, the height of the eraser cap decreases due to the negative coefficient of the squared term.
Therefore, the correct graph is C which represents the given function.
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3) Sally is twice as old as Jane. The sum of their ages is 54. Find their ages.
Answer:i think its 56 for sally
Step-by-step explanation:
Answer: 108 or 162
Step-by-step explanation:
200 chapattis is 50cm high how high will 10 chapattis be?
Answer:
5
Step-by-step explanation:
im not sure
Simplify the following by rationalizing the denominator. need rightnow pahelp.
Answer:
Step-by-step explanation:
Multiply the numerator and denominator by the conjugate.
Exact Form:
3√2+2
7
Decimal Form:
0.89180581
…
most mis's use sophisticated mathematical models or statistical techniques. group of answer choices true false
The statement "Most MIS's use sophisticated mathematical models or statistical techniques" is generally true.
Management Information Systems (MIS) play a crucial role in modern organizations by providing valuable insights into various aspects of the business.
These systems gather data from different sources and transform it into meaningful information for decision-making purposes.
To make sense of the collected data, MIS rely on sophisticated mathematical models and statistical techniques.
Mathematical models are used to represent real-world situations and relationships mathematically.
These models can range from simple equations to complex algorithms that simulate and predict business processes.
By using mathematical models, MIS can analyze data, identify patterns, and make predictions or projections.
Statistical techniques, on the other hand, provide methods for summarizing and analyzing data to extract meaningful information.
MIS employ statistical techniques such as regression analysis, hypothesis testing, data visualization, and forecasting to uncover insights and support decision-making.
By leveraging these sophisticated mathematical models and statistical techniques, MIS can handle large volumes of data, identify trends and patterns, perform predictive analysis, and provide valuable insights for effective decision-making in areas such as resource allocation, strategic planning, inventory management, and customer behavior analysis.
Therefore, it is safe to say that most MIS's utilize sophisticated mathematical models and statistical techniques to process and analyze data, enabling organizations to make informed decisions based on accurate and meaningful information.
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Solve the equation for all values of x in simplest form:
(x - 1)2 = 15
Answer: The answer is x = 6.5 or 15/2.
6x+2y=0 3x+y=24 using elimination
Arrange the values in ascending order
Answer:
17 22 34 39 42 45 47 47 48 54
Step-by-step explanation:
simple order of numbers :)