Answer:
The length of ribbon is \(\sqrt{32}\).
Step-by-step explanation:
Length of the side of square = 4 inches
let the length of the diagonal is x.
By use of Pythagorean theorem
\(x^2 = 4^2 + 4^2 \\\\x =\sqrt {16 + 16}=\sqrt{32}\)
Find the median of the following frequency distribution
Answer:
3
Step-by-step explanation:
First right out all the data in numerical order from left to right.
2, 2, 2, 3, 4, 5, 7
The median is the middle number in the set. If there is an even amount of data points, find the average of the two middle numbers. If there is an odd number of data points, like in this data set, just take the middle number as you median.
There are 7 data points in this set so the fourth number in the set written in numerical order would be your median.
When writing this set out in numerical order, repeated numbers must be repeated, we find that the fourth, or middle, number is 3. Therefore, 3 is the median of this data set.
Please help me with my home work I will give brainliest
Find -f(x) for f(x) = 2x - 5
Answer:
-f(x) = -2x + 5
Step-by-step explanation:
This question asks us to find the negative form of the function f(x) = 2x - 5
Since we multiply the entire function by a negative, it looks like this:
-f(x) = -(2x - 5)
We then distribute the negative:
-f(x) = -2x + 5
Malik's arts and crafts shop have a bolt of crimson velvet 32 meters long. A customer came in during the morning and bought 120 centimeters of the velvet. Another customer bought an additional 14 meters during the afternoon. How much crimson velvet does Malik's shop have left? Write the answer in centimeters.
WILL GIVE U BRAINLIEST ... how many solutions does this parabola have ??????
Answer:
No solutions
Step-by-step explanation:
This parabola does not touch the x-axis, therefore, there are no solutions.
Stone runs 1 mile five times a week. How many miles does 4 he run each week? Write the equation you would use to solve. Then, fill in the grid with your answer. Tip: Fill in your answer as a fraction greater than 1.
The number of miles in 4 weeks is 20 mules
How to determine the number of milesFrom the question, we have the following parameters that can be used in our computation:
Stone runs 1 mile five times a week
This means that the rate is
Rate = 1 mile * 5 per week
So, we have
Rate = 5 miles per week
For 4 weeks, we have
Distance = 5 * 4
Evaluate
Distance = 20 miles
Hence, the distance is 20 miles
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if a researcher wants to be able to generalize about a population using data pulled from a sample, it is best to use
In order to generalize about a population using data from a sample, researchers should employ appropriate sampling techniques to ensure representative and unbiased results.
By using random sampling methods and ensuring an adequate sample size, researchers can increase the likelihood of accurate population generalization.
When researchers want to make inferences about a population based on data collected from a sample, it is crucial to use proper sampling techniques. Random sampling is widely considered the best approach to achieve representativeness. By randomly selecting individuals from the population, researchers can minimize bias and increase the likelihood of obtaining a sample that accurately reflects the population's characteristics.
Additionally, the sample size plays a crucial role in generalization. A larger sample size generally provides more reliable estimates of population parameters. With a larger sample, there is a higher chance of capturing the diversity and variability present in the population, reducing the margin of error in the generalizations made.
Furthermore, researchers should consider the sampling frame—the list or source from which the sample is drawn. The sampling frame should be comprehensive and include all members of the population of interest. If the sampling frame is incomplete or biased, it can lead to inaccurate generalizations.
In summary, to generalize about a population using data from a sample, researchers should employ random sampling techniques, ensure an adequate sample size, and use a comprehensive and unbiased sampling frame. These practices increase the likelihood of obtaining representative and reliable results, enabling accurate generalizations about the larger population.
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where are the vertical changes, Horizontal change, and slope
Answer:
l don't understand your question.......sorry
Ay 31 YO METAL TOP School Factcoobrom sovin 9.6.PS-18 Question Help The circumference of the hub cap of a tire is 73.66 centimeters. Find the area of this hub cap. Use 3.14 for at. Use pencil and paper. If the circumference of the hub cap were smaller, explain how this would change the area of the hub cap. The area of this hub cap is about square centimeters. (Round the final answer to the nearest whole number as needed. Round all intermediate values to the nearest thousandth as needed.) Enter your answer in the answer box and then click Check Answer. All parts showing Clear All Check Answer Back Neats
Answer:
432 square centimeters
Step-by-step explanation:
Given :
The circumference of a hub cap is = 73.66 cm
The circumference of a circle is given as = 2πr, where r is the radius of the circular hubcap.
So , 2πr = 73.66
⇒ \($r=\frac{73.66}{2 \times \pi}$\)
⇒ \($r=\frac{73.66}{2 \times 3.14}$\) (Using, π = 3.14)
⇒ r = 11.73 cm
Therefore the area of the hub cap is given by A = \($\pi r^2$\)
A = \($3.14 \times 11.73 \times 11.73$\)
= 432 \($cm^2$\)
If the circumference of the hubcap were smaller, the area of the hubcap would be smaller too, since the circumference of the hubcap is proportional to the radius which is proportional to the area too.
if you are examining a triangle with given measurements for one leg and the hypotnuse,how will you determine the measure of the unknown leg?
We will apply the Pythagoras theorem to find the measure of the unknown leg in a triangle when one leg and the hypotenuse are provided dimensions.
What is the definition of a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometric function.
According to Pythagoras, the sum of the squares of two sides equals the square of the longest side.
\(\rm h^2 = p^2+ b^2\)
Where,
h is the hypotenuse
p is the perpendicular
b is the base
If any of the two is given the third side will be obtained using the Pythagoras theorem.
In a triangle with given measurements for one leg and the hypotenuse, we will determine the measure of the unknown leg by the Pythagoras theorem.
Hence we willl apply the pythogorous theorem for finding the unknown side.
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Alexandra takes out a loan of $2000 to pay for an emergency vet bill . She will repay the loan over 6 months at 8.12% p.a interest compounded fortnightly. Calculate:
a)Alexandra's fortnightly repayments
b)The outstanding balance on the loan after 6 fortnights
If you could add the steps that would be great!
a) Alexandra's fortnightly repayments would be approximately $345.85.
b) The outstanding balance on the loan after 6 fortnights would be approximately $1,726.17.
To calculate Alexandra's fortnightly repayments and the outstanding balance on the loan after 6 fortnights, we need to use the formula for calculating the repayment amount and the formula for the outstanding balance.
a) Fortnightly Repayments:
First, we need to calculate the interest rate per fortnight. The annual interest rate is 8.12%, so the fortnightly interest rate would be (8.12% / 26) = 0.3123%.
The formula to calculate the repayment amount on a loan is:
Repayment Amount = \(P \times (r \times (1 + r)^n) / ((1 + r)^n - 1)\)
Where:
P = Principal amount of the loan ($2000)
r = Interest rate per fortnight (0.3123%)
n = Number of fortnights (6)
Plugging in the values:
Repayment Amount = \(2000 \times (0.003123 \times (1 + 0.003123)^6) / ((1 + 0.003123)^6 - 1)\)
Repayment Amount ≈ $345.85
b) Outstanding Balance after 6 Fortnights:
The formula to calculate the outstanding balance on a loan is:
Outstanding Balance = \(P \times ((1 + r)^n) - (A \times (((1 + r)^n) - 1) / r))\)
Where:
P = Principal amount of the loan ($2000)
r = Interest rate per fortnight (0.3123%)
n = Number of fortnights (6)
A = Repayment amount ($345.85)
Plugging in the values:
Outstanding Balance = \(2000 \times ((1 + 0.003123)^6) - (345.85 \times (((1 + 0.003123)^6) - 1) / 0.003123)\)
Outstanding Balance ≈ $1,726.17
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Look at the photo and you can see it
Answer:
huh wym?
you will see it?
Step-by-step explanation:
PLEASE HELP ASAP!!!!
The shape below is a cuboid.
Find the length of AG to 2 d.p.
The length of AG is approximately 34.47 mm to 2 decimal places.
what is length ?
In mathematics, length is a measure of distance along a straight line or curve. It is a fundamental concept in geometry and is defined as the distance between two points in space.
what is decimal places ?
In mathematics, decimal places refer to the number of digits that appear after the decimal point in a number expressed in decimal form.
In the given question,
To find the length of AG, we can use trigonometry and the given angles. Let's label some points on the diagram:
Let O be the center of square aehd, and let M be the midpoint of AD.
We can see that triangle AOG is a right triangle, since AO and OG are perpendicular (because square aehd is perpendicular to square bfgc). Therefore, we can use trigonometry to find the length of AG.
First, let's find the length of OM. Since M is the midpoint of AD, we know that OM = AD/2 = 21 mm.
Next, let's find the length of AM. We can use trigonometry and the given angles:
tan(27) = AM/AG => AM = AG * tan(27)
tan(36) = AM/OM => AM = OM * tan(36)
Therefore, we can combine these two equations to find AG:
AG * tan(27) = OM * tan(36)
AG = OM * tan(36) / tan(27)
AG = 21 * tan(36) / tan(27)
AG ≈ 34.47 mm (rounded to 2 decimal places)
Therefore, the length of AG is approximately 34.47 mm to 2 decimal places.
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Can someone please explain. like what are those letters under the numbers, is that what they equal? I'm just starting this today please help.
Answer: R-squared (R2) is a statistical measure that represents the proportion of the variance for a dependent variable that's explained by an independent variable or variables in a regression model. ... So, if the R2 of a model is 0.50, then approximately half of the observed variation can be explained by the model's inputs.
Answer:
Those are called subscripts, the little numbers on the bottom right.
Find the base of a triangle if the height is 15m and the area is 30m^2. Please and thank you so much!
Answer:
The answer is 4m. I used my graphing calculator and this is how I got it step by step. Look at the pic.
Step-by-step explanation:
How can I find the slope of a functional relationship?
Step-by-step explanation:
y2-y1/x2-x1
is how you can find the slope
determine the critical value for a left-tailed test of a population standard deviation for a sample of size n
The critical value for a left-tailed test of a population standard deviation for a sample of size n=15 is 6.571, 23.685. Therefore, the correct answer is option B.
Critical value is an essential cut-off value that defines the region where the test statistic is unlikely to lie.
Given,
Sample size = n = 15
Level of significance = α=0.05
Here we use Chi-square test. Because the sample size is given for population standard deviation,
For the chi-square test the degrees of freedom = n-1= 15-1=14
The critical values are (6.571, 23.685)...... From the chi-square critical table.
Therefore, the correct answer is option B.
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"Your question is incomplete, probably the complete question/missing part is:"
Determine the critical value for a left-tailed test of a population standard deviation for a sample of size n=15 at the α=0.05 level of significance. Round to three decimal places.
a) 5.629, 26.119
b) 6.571, 23.685
c) 7.261, 24.996
d) 6.262, 27.488
2. Given that 5-6 ÷ 5p = 125º, find the value of 1/2p
Answer: -50
Step-by-step explanation:
5 - 6 / 5p = 125 degrees
1/2p = ?
First, subtract 5 from both sides, that way, the 5 on the left side will cancel out.
-6/5p = 125-5 degrees
-6/5p = 120 degrees
now, multiply 5p on both sides.
-6 = 120 * 5p degrees
-6 = 600p degrees
divide 600 on both sides
-6/600 = p degrees
-0.01 = p degrees
p = -0.01
1/2p = 1 / -0.02 = -50
Hope I helped!
Calculate the derivative of h(x) = √√e²x + e²
To calculate the derivative of the function h(x) = √(√(e^(2x) + e^2)), we can apply the chain rule and the power rule of differentiation. Let's break down the process step by step.
First, we can rewrite the function h(x) as h(x) = (e^(2x) + e^2)^(1/4)^(1/2). Now, applying the chain rule, we differentiate the outer function with respect to the inner function, and then multiply it by the derivative of the inner function. The derivative of the inner function, e^(2x) + e^2, with respect to x is 2e^(2x).
Putting it all together, the derivative of h(x) is:
h'(x) = (1/2) * (e^(2x) + e^2)^(-3/4) * 2e^(2x)
= e^(2x) * (e^(2x) + e^2)^(-3/4).
Thus, the derivative of h(x) is e^(2x) times the quantity (e^(2x) + e^2)^(-3/4).
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Thınking about testing the significance of the coefficient of determination, we set up the hypothesis test
as either one-tail test or two-tail test depending on our interest
always as a two-tail test
as an upper-tail test if the coefficient of determination is positive, and as a lower-tail test if the coefficient of determination is negative
always as an upper-tail test
We can use either one tailed or two tailed as our interest.
The coefficient of determination (R-squared) measures the proportion of the variance in the dependent variable that can be explained by the independent variables in a regression model. It ranges from 0 to 1, where 0 indicates no relationship and 1 indicates a perfect fit.
When conducting a hypothesis test for the significance of the coefficient of determination, you typically assess whether R-squared is significantly different from zero. This is done using a one-tailed test, as the alternative hypothesis is usually stated as either "R-squared is greater than zero" or "R-squared is less than zero."
Thınking about testing the significance of the coefficient of determination, we set up the hypothesis test. This is data from the given question
We can use either one tailed test or two tailed test depending on our interest. We can use anything one tailed test or two tailed test
The coefficient of determination is cannot be negative so we no need to test using the low tailed , so we no need to test the coefficient of determination it should be less than 0 , so we are using one tailed test or two tailed test
Therefore, We can use either one tailed or two tailed as our interest.
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Easy points, please solve
Answer: 50
Step-by-step explanation:
since these are opposite angles, we know they're the same size
2x-10=x+40
x=50
Hannah borrows $999 from her parents to buy a phone. She will repay $225 to start, and then another $43 per week.
A. Write an equation that can be used to determine w, the number of weeks it will take for Hannah to repay the entire amount.
B. What number of weeks will it take Hannah to repay the entire amount?
A. The equation that can be used to determine the number of weeks is $999=225+42w
B. The number of weeks it will take Hannah to repay is 18weeks
What is linear equation?An equation is a mathematical statement, which has an equal sign (=) between the algebraic expression. Linear equations are the equations of degree 1. It is the equation for the straight line. The solutions of linear equations will generate values, which when substituted for the unknown values, make the equation true. In the case of one variable, there is only one solution. For example, the equation x + 3 = 0 has only one solution as x = -2.
the total amount of money Hannah repaid is $225+$43×w, where w is the number of weeks to repay $43.
therefore $999= $225+$43w
$43w=$ (999+225)
$43w= $1224
divide both side by $43
w= $1224/$43
w= 18 weeks
therefore it will take Hannah 18weeks to repay the money.
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Find values of p for which the integral
∫10xpln(x)dx
converges and calculate the value of the integral for these values of p.
The integral ∫10x^p * ln(x) dx converges for all values of p except p = -1.
To determine the values of p for which the integral ∫10x^p * ln(x) dx converges, we need to consider the convergence of the integrand for different values of p. The integral will converge if the integrand is well-behaved and does not exhibit any divergence.
Let's analyze the integrand in two separate cases:
Case 1: p ≠ -1
When p ≠ -1, the integrand is well-defined for all x > 0. We can proceed with evaluating the integral.
∫10x^p * ln(x) dx = [x^(p+1) * ln(x)] / (p+1) + C
To calculate the value of the integral for a specific value of p, we can substitute the limits of integration into the antiderivative expression and evaluate the resulting expression.
Case 2: p = -1
When p = -1, the integrand becomes 10x^(-1) * ln(x), which poses a potential issue at x = 0. To determine if the integral converges for this case, we need to examine the behavior of the integrand near x = 0.
As x approaches 0, the expression ln(x) approaches negative infinity, which would cause the integrand to diverge. Therefore, for p = -1, the integral does not converge.
In summary, the integral ∫10x^p * ln(x) dx converges for all values of p except p = -1.
Please note that when evaluating the definite integral for specific limits of integration, you should substitute the limits into the antiderivative expression and then calculate the difference of the resulting expressions evaluated at the upper and lower limits.
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to properly measure the volume of water in a calibrated glass device, such as a graduated cylinder, one should________
The lowest point should be used for measurement. To acquire a correct reading, students must read the meniscus at eye level. In order to read the meniscus at eye level, students need first set the graduated cylinder on the table and then stoop.
A measuring cylinder, often referred to as a graded cylinder, a cylinder measuring cylinder, or a mixing cylinder, is a piece of lab apparatus used to gauge the quantity of fluids, chemicals, or solutions used during a typical lab session. Compared to common laboratory flasks and beakers, graduated cylinders offer higher precision and accuracy. The graduated cylinder is a scientific tool that employs the metric system rather than the American standard system, so measurements are made in millilitres rather than ounces. The volume of an object or quantity of liquid is measured using a graduated cylinder, a common piece of laboratory glassware. It is a glass cylinder with side markings resembling those on a measuring cup, as its name suggests.
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Graph the equation 4x+9-3/5=10xy^3-49. Then solve for the square root of x
Answer: 4x+9-3/5=10xy^3-49
Step-by-step explanation: x+9-3/5-(10*x*y^3-49)=0
STEP
1
:
Equation at the end of step 1
3
((4x + 9) - —) - ((2•5xy3) - 49) = 0
5
STEP
2
:
3
Simplify —
5
Equation at the end of step
2
:
3
((4x + 9) - —) - (10xy3 - 49) = 0
5
STEP
3
:
Rewriting the whole as an Equivalent Fraction
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 5 as the denominator :
4x + 9 (4x + 9) • 5
4x + 9 = —————— = ————————————
1 5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(4x+9) • 5 - (3) 20x + 42
———————————————— = ————————
5 5
THIS IS TIMED!
A rectangle has vertices at (Negative1, 6), (Negative1, Negative2), (3, 6), and (3, Negative 2). Sara says the area of the rectangle is 16 square units and her work is shown below.
Steps
Sara’s Work
Step 1
Base: StartAbsoluteValue negative 1 EndAbsoluteValue + StartAbsoluteValue 3 EndAbsoluteValue = 4
Step 2
Height: StartAbsoluteValue 6 EndAbsoluteValue + StartAbsoluteValue negative 2 EndAbsoluteValue = 4
Step 3
Area: 4 times 4 = 16 square units
Where, if at all, did Sara first make a mistake in finding the area of the rectangle?
Step 1
Step 2
Step 3
no mistake
Answer:
Step 2
Step-by-step explanation:
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/\ Explantion hope it help...
Mikea, an intern with the Parks and Recreation Department, is developing a proposal for the new trapezoidal Springdale Park. The figure below shows her scale drawing of the proposed park with 3 side lengths and the radius of the merry-go-round given in inches. In Mikea's scale drawing, 1 inch represents 1.5 feet.
1. The area of the scale drawing of the park is 146,880 square inches (Option J).
2. The perimeter of the park is 126 feet (Option D).
3. The length of the south side of the park is 40% of the length of the north side (Option F).
1. To find the area of the scale drawing of the park, we need to calculate the area of the trapezium. The formula for the area of a trapezium is (base1 + base2) * height / 2.
Using the scale, the lengths of the bases (parallel sides) in feet would be:
Base1 = 28 inches * 1.5 feet/inch = 42 feet
Base2 = 40 inches * 1.5 feet/inch = 60 feet
Plugging in the values into the formula, we have:
Area = (42 + 60) * 16 / 2 = 1020 square feet
Since the answer options are in square inches, we need to convert the area back to square inches:
Area = 1020 square feet * 144 square inches/square foot = 146880 square inches
Therefore, the area of the scale drawing of the park is 146880 square inches.
2. The perimeter of the park can be calculated by summing up the lengths of all sides.
The lengths of the sides in feet would be:
Side1 = 28 inches * 1.5 feet/inch = 42 feet
Side2 = 40 inches * 1.5 feet/inch = 60 feet
Side3 = 16 inches * 1.5 feet/inch = 24 feet
Adding up all sides, we have:
Perimeter = Side1 + Side2 + Side3 = 42 feet + 60 feet + 24 feet = 126 feet
Therefore, the perimeter of the park is 126 feet.
3. To find the percentage length of the south side compared to the north side, we can calculate:
Percentage = (South Side Length / North Side Length) * 100
Using the scale, the length of the south side in feet would be:
South Side Length = 16 inches * 1.5 feet/inch = 24 feet
The length of the north side is already given as 40 inches * 1.5 feet/inch = 60 feet.
Plugging in the values, we have:
Percentage = (24 feet / 60 feet) * 100 = 40%
Therefore, the length of the south side of the park is 40% of the length of the north side.
Complete Question:
Mikea, an intern with the Parks and Recreation Department, is developing a proposal for the new trapezoidal Springdale Park. The figure below shows her scale drawing of the proposed park with 3 side lengths and the radius of the merry-go-round given in inches. In Mikea's scale drawing, 1 inch represents 1.5 feet.
1. What is the area, in square inches, of the scale drawing of the park? 448 544 H. 640 672 K. 1.088
2. Mikea's proposal includes installing a fence on the perimeter of the park. What is the perimeter, in feet, of the park? A. 84 B. 88 C. 104 D. 126 E 156
3. The length of the south side of the park is what percent of the length of the north side? F. 112% G. 1245 H. 142 J. 1754 K. 250%
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a soft drink machine outputs a mean of 2727 ounces per cup. the machine's output is normally distributed with a standard deviation of 33 ounces. what is the probability of filling a cup between 2121 and 3030 ounces? round your answer to four decimal places.
The probability of the soft drink machine filling a cup between 2121 and 3030 ounces with a normal distribution of the mean of 2727 ounces and a standard deviation of 33 ounces is 0.
It is given that the soft drink machine's output is normally distributed.
We know that for any normal distribution with X~(μ,σ)
f(z)= 1/σ√2π . e^(-(x - μ)²/2σ²),for all z ∈ R.
where μ = The mean of the distribution
σ = the standard deviation of the distribution
Here
μ = 2727
σ = 33
We need to find
P(2121< x < 3030)
We know that the relation between a normal distribution and its Z-score is
P(a < X < b) = Φ((b- μ)/ σ) - Φ(a - μ/ σ)
here a = 2121 and b = 3030
Therefore we get
P(2121< x < 3030) = Φ((3030- 2727)/ 33) - Φ(2121 - 2727/ 33)
= Φ((303)/ 33) - Φ(-606/ 33)
= Φ((303)/ 33) - Φ(-606/ 33)
= Φ((9.181818) - Φ(-18.363636)
From the Z score table, we know that the p-value will be
0 - 0
= 0
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please tell me the answer to this
Answer:
Wow you got s lot of questions wrong
Step-by-step explanation:
What happens if the residual is negative?
When the residual is negative it represents the predicted value is very much high.
A residual represents the measure of how well a line fits for the given individual data points which were plotted on the graph. Residual plot is representation on the graph which shows the residuals on the vertical axis also independent variable on the horizontal axis of the graph.If the residual value is positive it represents the predicted value is very low on the regression line.If the residual value is negative it represents the predicted value is very high on the regression line.Therefore, the negative residual value on the regression line represents the predicted value is very much high.
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