Answer:
Since it's a right angled triangle
15² = 13² + x²
x² = 15²-13²
x² = 56
x = √56
x= 2√14
Hope this helps.
find the answer of given photo
The skewness of the plot is positive skewness, and the equation of the regression line is y = -0.052x + 2.706
The mean, standard deviation, min, max, etc.To do this, we make use of the following data values
15, 16, 16, 17, 17, 17, 20, 22, 22, 30
The mean is calculated using:
Mean = Sum/Count
So, we have:
Mean = (15+ 16+ 16+ 17+ 17+ 17+ 20+ 22+ 22+30)/10
Evaluate
Mean = 19.2
Using a graphing calculator, we have:
Standard Deviation, σ = 4.30
The min and the max are:
Min = 15
Max = 30
See attachment for the histogram.
From the attached histogram, we can see that the skewness of the plot is positive skewness
The percentage area between min and max expenses.The min and the max values are the range of the normal plot.
So, the percentage area between these values is 100%
Inspect three samplesLet the three samples be
16, 17, and 30
The sample mean is:
Mean = Sum/Count
So, we have:
Mean = (16 + 17 + 30)/3
Evaluate
Mean = 21
The sample mean is different from the population mean
Since the means are not equal, then we fail to accept the Null hypothesis.
The correlation coefficientTo do this, we make use of a graphing calculator with the following calculation summary:
X Values
∑ = 120Mean = 20∑(X - Mx)2 = SSx = 154Y Values
∑ = 10Mean = 1.667∑(Y - My)2 = SSy = 3.333X and Y Combined
N = 6∑(X - Mx)(Y - My) = -8R Calculation
r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))
r = -8 / √((154)(3.333)) = -0.3531
The correlation coefficient -0.3531 means that there is a negative correlation between the data values
The equation of the Regression lineTo do this, we make use of a graphing calculator with the following calculation summary:
b = SP/SSX = -8/154 = -0.05195a = MY - bMX = 1.67 - (-0.05*20) = 2.70563So, we have:
y = -0.052x + 2.706
Hence, the equation of the regression line is y = -0.052x + 2.706
See attachment 2 for the scatter plot.
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Lesley will use more than 1/2 cup but less than 1 whole cup of flour for a recipe
Answer:
3/4
Step-by-step explanation:
3/4 is greater than 1/2 and still less than 1 whole.
Dr. Pagels is a mammalogist who studies meadow and common voles. He frequently traps the moles and has noticed what appears to be a preference for a peanut butter-oatmeal mixture by the meadow voles vs apple slices are usually used in traps, where the common voles seem to prefer the appe slices. So he conducted a study where he used a peanut butten oatmeal mixture in half the traps and the normal apple slices in his remaining traps to see if there was a food preference between the two different votes
Indicate which of the following is the null hypothesis, and which is the alternate hypothesis
a. There food preferences among vole species are independent of one another.
b. There is a relationship between voles and food preference.
c. To test for independence, we need to calculate the Chi-square statistic.
These are the data that Dr. Pagels collected
meadow voles common voles
apple slices 15 21
peanut butter-oatmeal 25 16
Answer:
The food preferences among vole species are independent of one another.
Step-by-step explanation:
The hypothesis can be defined as follows:
H₀: The food preferences among vole species are independent of one another.
Hₐ: There is a relationship between voles and food preference.
The data provided is:
meadow voles common voles
apple slices 15 21
peanut butter-oatmeal 25 16
A Chi-square test for the Goodness of fit will be used.
The expected values are computed using the formula:
\(E_{i}=\frac{\text{ith Row Total}\times \text{jth Column Total}}{N}\)
Consider the Excel sheet attached.
The Chi-square statistic value is 2.861.
Compute the degrees of freedom as follows:
df = (r - 1)(c - 1)
= (2 - 1)(2 - 1)
= 1
Compute the p-value as follows:
\(p-value=P(\chi^{2}_{(1)}>2.861)=\text{CHISQ.DIST.RT(2.861,1)}=0.091\)
The p-value = 0.091 > α = 0.05
The null hypothesis will not be rejected.
Thus, it can be concluded that the food preferences among vole species are independent of one another.
So, which one is the answer?
FInd the measure of the arc using the picture provided , please and thanks
The measure of arc angle QTP is 204 degrees.
How to find arc angle?When a tangent and a secant intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.
Therefore, let's find the measure of arc angle QTP as follows:
90 = 0.5(x - 68)
90 = 0.5x - 34
0.5x = 124
x = 124 / 0.5
x = 248 degrees
Where
x = arc angle TSQ
Therefore,
arc QP = 44 degrees
Therefore,
arc QTP = 248 - 44
arc QTP = 204 degrees
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make x the subject
m= n+x/p
m = n+ x/p
m (*p) = n (*p) + x/p (*p)
mp = np + x
x= mp - np
x= p ( m - n)
A drum of water is 3/4 full. When 9 litres are drawn from it, it is half full. How much water does the drum hold what is the capacity of the drum
Answer:
OK, Here is your answer
Step-by-step explanation:
Let's assume the capacity of the drum be C litres.Since the drum is initially 3/4 full, the amount of water in it is 3/4 × C = (3/4)C liters.When 9 liters of water are drawn from the drum, the remaining amount of water is (3/4)C - 9 liters.Since the drum is now half full, the amount of water remaining in it is (1/2)C liters.Therefore, we can write the equation: (3/4)C - 9 = (1/2)CTo solve for C, let's first get rid of the fractions by multiplying both sides by 4.(3/4)C - 9 = (1/2)C → 3C - 36 = 2C → C = 36Therefore, the capacity of the drum is 36 liters.Hence, the drum holds 3/4 × 36 = 27 liters of water initially and after 9 liters of water are drawn, the remaining amount of water in it is 27 - 9 = 18 liters.
Answer:
18 Lieters.
Step-by-step explanation:
found the answer in his answer. ↑↑↑↑
A closed rectangular tank has a length of 8.5 feet, a width of 3.2 feet, and a height of 4.8 feet. Find the surface area of the tank.
Answer: 166.72 \(ft^{2}\)
Step-by-step explanation: math
Step-by-step explanation:
All you have to do here is use the surface area, or SA, equation.
Sa=2lw+2lh+2hw
sa=2(8.5)(3.2)+2(8.5)(4.8)+2(4.8)(3.2)
Sa=54.4+81.6+30.72
Sa=166.72
Hope this helped!
simplify each algrebraic expression. drag tiles to correct boxes to complete the pairs.
-5x-2 5x+2 5x-2 -5x+2
(a) The algebraic expression, -5x - 2 + 5x + 2 is simplified as 0.
(b) The algebraic expression, 5x -2 - (5x + 2) is simplified as -4.
What is the simplification of the algebraic expression?The given algebraic expression is simplified by adding similar terms together, as it will make the expression to be in simplest form.
The given algebraic expressions are;
-5x - 2 + 5x + 2
5x -2 - (5x + 2)
The first algebraic expression is simplified as follows;
-5x - 2 + 5x + 2
collect similar terms;
(-5x + 5x) + (-2 + 2)
= 0 + 0
= 0
The second algebraic expression is simplified as follows;
5x - 2 - (5x + 2)
= 5x - 2 - 5x - 2
collect similar terms;
= (5x - 5x) + (-2 - 2)
= 0 - 4
= - 4
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I need help with this
Answdf-ipuofnvpaosnpvpsivdi
the asnwer is b
Step-by-step explanation:
wef iweufhnwefhewihwnfvbrgfnhpfbovnv urfghv nvmv
Which statement, if true, would help prove that quadrilateral
FGHJ is inscribed in Circle O and why?
Answer:
i believe its a
Step-by-step explanation:
.........
431.67 In a different number, the 4 represents a value which is one-tenth of the value of the 4 in the number above. What value is represented by the 4 in the other number?
So the different number has a 4 with a value of 40.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
To solve this problem, we need to first identify the place value of the digit 4 in the given number.
The digit 4 is in the hundreds place in the number 431.67, so its value is 4 x 100 = 400.
According to the problem statement, the 4 in the different number represents a value which is one-tenth of the value of the 4 in 431.67. Therefore, the value of the 4 in the different number is:
400/10 = 40
To determine the value of the different number, we need to look at the other digits in the number. Since we don't have any information about the other digits, we cannot determine the value of the different number. The answer is that the value of the different number cannot be determined with the information given.
Therefore, So the different number has a 4 with a value of 40.
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Mabel spends 4 hours to edit a 3 minute long video. She edits at a constant rate. How long does Mabel spend to edit a 15 minute long video
The number of hours spent by Mabel to edit the 15 minute long video according to the task content is; 20 hours.
What is the time taken by Mabel to edit the hour?According to the task content, it can be inferred that for a 3 minute video, Mabel spends 4 hours.
On this note, it follows from proportion that the time taken by Mabel to edit the 15 minute video would be; 4hours × 5 = 20 hours.
Hence, the time taken to edit the 15minute long video is; 20 hours.
hi
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What is the value of x?
Enter your answer in the box
LM=2 MO=1 LN=x+1 NP=x find x
Answer:
Step-by-step explanation:
The equation you provided is LM = 2, MO = 1, LN = x+1, NP = x.
The equation states that LM (the measure of angle LM) is equal to 2, MO (the measure of angle MO) is equal to 1, LN (the measure of angle LN) is equal to x+1, and NP (the measure of angle NP) is equal to x.
To find the value of x, you can use the equation LN = x+1 and NP = x,
x+1 = x
So x=1.
Therefore, the measure of angle LN is x+1 = 1+1 = 2, and the measure of angle NP is x = 1.
Find the missing angles.
with solution
Hello!
y = 88° (opposite are equal)
z = 180° - 128° = 52° (straight angle = 180°)
x = 180° - 140° = 40° (straight angle = 180°)
Answer:
x=40°
y=88°
z=52°
Step-by-step explanation:
Solution Given:
x+140°=180°
Since the sum of the angle of a linear pair or straight line is 180°.
solving for x.
x=180°-140°
x=40°
\(\hrulefill\)
y°=88°
Since the vertically opposite angle is equal.
therefore, y=88°
\(\hrulefill\)
z+128°=180°
Since the sum of the angle of a linear pair or straight line is 180°.
solving for z.
z=180°-128°
z=52°
The boxplot shown below results from the heights (cm) of males listed in a data set. What do the numbers in that
K boxplot tell us?
156
168.1
173.7
The minimum height is
third quartile Q3 is
(Type integers or decimals. Do not round.)
181.4
cm, the first quartile Q, is
cm, and the maximum height is
192
cm, the second quartile Q₂ (or the median) is
cm.
cm, the
From the given box plot, it is found that:
The minimum height is of 156 cm, the first quartile Q1 is 168.1 cm, the second quartile Q2(or the median) is of 173.7 cm, the third quartile Q3 is of 181.4 cm, and the maximum height is of 192 cm.
What does a box-and-whisker plot shows?A box and whisker plot shows five things:
The minimum value.The 25th percentile, which is the median of the bottom 50%.The median, which splits the entire data-set into two halfs, the bottom 50% and the upper 50%.The 75th percentile, which is the median of the upper 50%.The maximum value.The measures are shown in order, from left to right, hence:
The minimum height is of 156 cm, the first quartile Q1 is 168.1 cm, the second quartile Q2(or the median) is of 173.7 cm, the third quartile Q3 is of 181.4 cm, and the maximum height is of 192 cm.
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Describe the transformation of the parent function. f(x) = x^2. Then graph the transformed function 16. f(x) = (x - 1)^2 + 3 17. y = (x + 1)^2 - 3 18. g(x) = 2x^2 19. f(x) = -(x - 1)^2 + 7
Answer: 16) Shifted LEFT 1 unit and DOWN 3 units
17) Shifted LEFT 1 unit and DOWN 3 units
18) Vertical stretch by a factor of 2
19) Reflected over x-axis, shifted RIGHT 1 unit and UP 7 units
Step-by-step explanation:
The vertex form of a quadratic equation is: y = a(x - h)² + k where
"a" is the vertical stretch-a is a reflection over the x-axish is the horizontal shift (positive = right, negative = left)k is the vertical shift (positive = up, negative = down)f(x) = x²
16) f(x) = (x - 1)² + 3
↓ ↓
h= 1 k= 3
Shifted RIGHT 1 unit and UP 3 units
17) f(x) = (x + 1)² - 3
↓ ↓
h= -1 k= -3
Shifted LEFT 1 unit and DOWN 3 units
18) f(x) = 2(x)²
↓
a= 2
Vertical stretch by a factor of 2
19) f(x) = -(x - 1)² + 7
↓ ↓ ↓
a= -1 h= 1 k= 7
Reflected over x-axis, shifted RIGHT 1 unit and UP 7 units
Rules for the transformations of a parent function are given as,
If the parent function f(x) = x² is transformed as,
Shifted 1 unit left, the image function will be,g(x) = (x + 1)²
Shifted 1 unit right, the image function will be,g(x) = (x - 1)²
Shifted 1 units upwards, image function will be,g(x) = x² + 1
Shifted 1 units downwards, image function will be,g(x) = x² - 1
Vertically stretched by a factor k,g(x) = kx²
Inverted about the x-axis,g(x) = -x²
With the help of these transformations, following transformed functions will be defined as,
16). f(x) = (x - 1)² + 3
Parent function is shifted 1 unit right and 3 units upwards.
17). y = (x + 1)² - 3
Parent function is shifted 1 unit left and 3 units left.
18). g(x) = 2x²
Parent function is vertically stretched by a factor of 2.
19). f(x) = - (x - 1)² + 7
Parent function is inverted about the x-axis, followed by 1 unit shift on the right and 7 units upwards.
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Put the following equation in slope-intercept form: y−5=7/4(x-1)
Answer:
y=7/4x+2
Step-by-step explanation:
The linear equation in the slope-intercept form will be y = (7/4)x + 13/4.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The linear equation is given below.
y − 5 = 7/4(x − 1)
Convert the equation into a slope-intercept form. Then we have
y − 5 = 7/4(x − 1)
y − 5 = (7/4)x − (7/4)
y = (7/4)x − (7/4) + 5
y = (7/4)x + 13/4
The linear equation in the slope-intercept form will be y = (7/4)x + 13/4.
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write a context story for the equation 32 divided by 5
Select the correct answer. A linear function on a coordinate plane passes through (minus 3, 3), (0, 2), and (3, 1) In the function above, the slope will be multiplied by -9, and the y-value of the y-intercept will be increased by 2 units. Which of the following graphs best represents the new function? A linear function on a coordinate plane passes through (minus 1, 3), (0, 0), and (1, minus 3) W. The graph shows a linear function passes through (0, 4), (1.2, 0), and (3, minus 5) X. The graph shows a linear function passes through (0, 4), (minus 1.2, 0), and (minus 3, minus 5) Y. A linear function on a coordinate plane passes through (1, 3), (0, 0), and (minus 1, minus 3) Z. A. W B. X C. Z D. Y
The graph which best represents the new function is: Y. a linear function on a coordinate plane that passes through (1, 3), (0, 0), and (-1, -3).
How to determine the graph of the new function?First of all, we would determine the slope of the linear function as follows:
\(Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\\\\Slope, m = \frac{2\;-\;3}{0\;-\;(-3)}\)
Slope, m = -⅓.
Multiplying by -9, the new slope is:
Slope = -⅓ × -9
Slope = 3.
For the equation of this line, we have:
y - y₁ = m(x - x₁)
y - 3 = -⅓(x - (-3))
y - 3 = -⅓x - 1
y = -⅓x - 1 + 3
y = -⅓x + 2
Increasing the y-value by 2, we have:
y + 2= -⅓x + 2
y = -⅓x + 2 - 2
y = -⅓x.
Therefore, we would have a linear function on a coordinate plane that passes through (1, 3), (0, 0), and (-1, -3).
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1 is subtracted from 8 times a certain number.the result is 15.find the number
Answer:
number is 2
Step-by-step explanation:
let the number be n then 8 times the number is 8n, subtract 1 from this and
8n - 1 = 15 ( add 1 to both sides )
8n = 16 ( divide both sides by 8 )
n = 2
that is the number is 2
The cost of one t-shirt is 128. How much will be the cost of 20
The cost of 20 T-Shirt will be 2560 when cost of one t-shirt is 128.
When a selling price and profit are provided, cost price equals selling price plus profit. When the selling price and loss are disclosed, cost price equals selling price plus loss.
Profit is calculated as S.P. - C.P. If the selling price is less than the cost price, the difference between the two is the loss incurred. Loss is also equal to C.P. - S.P.
We must divide the gross profit by the entire revenue for the year, multiply by 100, and then find the gross profit margin. We must divide net income (or net profit) by the entire annual revenue before multiplying the result by 100 to get the net profit margin.
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The graph off (in blue) is translated a whole number of units horizontally and vertically to obtain the graph of h (in red). The functionfis defined by f(r) =/. Write down the expression for h().
Answer: the slope would be 7
Step-by-step explanation:
Which graph represents all of the solutions of
Step-by-step explanation:
Solve the inequality for b
-15b <= 45 divide both sides by -15, since you're dividing by a negative number switch the direction of the sign.
b >= -3
So, your number line is all values of b greater than or equal to -3. Since it is including -3, the circle will be filled and increase to the positive.
how do you find the equivalent fraction of 1/2 and 1/3=
Step-by-step explanation:
1/2=The fractions which are equivalent to 1/2 are 2/4, 3/6, 4/8, 6/12 etc. Equivalent fractions have same value in reduced form. Explanation: Equivalent fractions can be written by multiplying or dividing both the numerator and the denominator by the same number.
Step-by-step explanation:
1/2 + 1/3 = 0.83333333333
or 5/6
How many roots do the functions have in common f(x)=x^2+x-6
To find the common roots between two functions, we need to find the roots (or solutions) of each function individually and then identify the shared solutions.
For the function f(x) = x^2 + x - 6, we can find the roots by setting the function equal to zero and solving for x:
x^2 + x - 6 = 0
To factorize this quadratic equation, we need to find two numbers that multiply to -6 and add up to 1 (the coefficient of x). The numbers that satisfy these conditions are 3 and -2:
(x + 3)(x - 2) = 0
Setting each factor equal to zero:
x + 3 = 0 or x - 2 = 0
Solving for x in each equation:
x = -3 or x = 2
Therefore, the function f(x) = x^2 + x - 6 has two roots: x = -3 and x = 2.
To find the common roots between this function and another function, we would need to know the second function. If you provide the second function, I can help determine if there are any shared roots.
Un coche tarda 12 minutos en dar la vuelta a un circuito si va a una velocidad de 80 km/h. Cuánto tiempo tardara en recorrer el mismo circuito si va a una velocidad de 100 km/h?
A sample of matter experiences a decrease in average kinetic energy as it continues to cool. One would anticipate that the particles will eventually come to a complete stop. The temperature at which particles should theoretically stop moving is absolute zero. Thus, option B is correct.
What theory directly contradicts concept of absolute zero?
All molecules are predicted to have zero kinetic energy and, as a result, no molecular motion at absolute zero (273.15°C). Zero is a hypothetical value (it has never been reached).
Absolute zero signifies that there is no kinetic energy involved in random motion. A substance's atoms don't move relative to one another.
Therefore, Kinetic energy because it can create heat which goes against the absolute zero. A gas molecule's kinetic energy tends to zero when the temperature reaches absolute zero.
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Casey is using a recipe that requires 2/3 Cups of flour for every 2 cups of milk. If Casey uses 5 cups of milk how many cups of flour are needed
Answer:
15 cups of flour
Step-by-step explanation:
Can some one solve these three questions
(I WILL MARK BRAINLIEST)
The value of x and y is x ≈ 7.87 and y ≈ 25.38, the correct option is B.
We are given that;
Hypotenuse is 27 base is y and height is x the angle between base and hypotenuse is 17 degree
Now,
The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.
|AC|^2 = |AB|^2 + |BC|^2
To find x and y, we can use the Pythagorean theorem and the trigonometric ratios for a right triangle. The Pythagorean theorem states that the square of the hypotenuse is equal to the sum of the squares of the other two sides. The trigonometric ratios relate the angles and sides of a right triangle.
Using the Pythagorean theorem, we can write:
y^2 + x^2 = 27^2
y^2 + x^2 = 729
Using the trigonometric ratios, we can write:
sin(17°) = x/27
cos(17°) = y/27
Solving for x and y, we get:
x = 27 sin(17°) ≈ 7.87
y = 27 cos(17°) ≈ 25.38
Therefore, by pythagoras theorem answer will be x ≈ 7.87 and y ≈ 25.38.
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