m Z 2.
In the figure below, m1= 59°. Find m

25.The correct answer is A. The subject has an extreme criterion.26. The correct answer is B. The criterion is negative.

Question 25:If you know the true underlying sensitivity (d') is 2, but you measure d' as 0, the most reasonable conclusion would be that the subject has an extreme criterion. The criterion refers to the decision threshold used to differentiate between signal and noise. In this case, the subject's criterion is likely set in such a way that they are more conservative or cautious, leading to a reduced sensitivity measure.Therefore, the correct answer is A. The subject has an extreme criterion.

Question 26:When there are more False Alarms than Hits in signal detection, it suggests that the criterion is negative. The criterion represents the decision threshold, and a negative criterion implies a more liberal or lenient approach to categorizing events as a signal. This leads to a higher likelihood of detecting false alarms (incorrectly identifying noise as a signal) while potentially missing some true signals.Hence, the correct answer is B. The criterion is negative.

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Answer:

2(4x+3) + 2(6x)

8x+6 + 12x

12x+8x=20x

20x+6

Answer:

P = 20x + 6

Step-by-step explanation:

P = 2w + 2l

w = 4x + 3

l = 6x

P = 2(4x + 3) + 2(6x)

P = 20x + 6

The shape of the normal distribution is bell shape and it is also symmetrical from the left and right sides about the origins (mean).

What is a normal distribution?

A normal distribution is a function on some random variables, which represent the set of all those random variables in a symmetrical bell shape about the mean value.

It shows that the probability of occurrence of some data which is distributed over a function is more at or around the mean.

It is also known as probability distribution curve.

The normal distribution has two parameters:

What is the shape of the normal distribution?

The normal distribution curve is at it's peak at the mean value. This shows that the probability of occurrence of the data or value is more concentrated or distributed about the mean. It is also symmetric about the mean. As we more further from the mean, we see that the normal distribution curve gradually decreases showing that the probability of occurrence of the data or the values decreases. The shape that this curve forms is like a bell-shaped. So the shape of normal distribution is bell shape.

Hence, the shape of the normal distribution is bell shape and it is also symmetrical from the left and right sides about the origins (mean).

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The regression equation for the model that predicts the list price of all homes using unemployment rate as an explanatory variable is y = β0 + β1x. In this equation, y represents the list price of all homes, β0 represents the y-intercept, and β1 represents the slope of the regression line that describes the relationship between the explanatory variable (unemployment rate) and the response variable (list price of all homes).

Additionally, x represents the unemployment rate. To summarize, the regression equation is a linear equation that explains the relationship between the explanatory variable (unemployment rate) and the response variable (list price of all homes).

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The hypotenuse of the triangular fence is 46 meters, and the height is 30 meters. The total length of the fence is 88 meters.

To find the hypotenuse of the triangular fence, we can use the Pythagorean theorem, which states that the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). In this case, the base of the triangle is given as 2 meters, and we need to find the height. Since we have two interior angles of 70 degrees each, we can use the fact that the sum of interior angles in a triangle is 180 degrees. Therefore, the third angle can be calculated as 180 - 70 - 70 = 40 degrees.

To find the height, we can use trigonometric ratios. The tangent of an angle is equal to the ratio of the opposite side to the adjacent side. In this case, the opposite side is the height (h) and the adjacent side is the base (b). Therefore, tan(40 degrees) = h/2. Rearranging the equation, we get h = 2 * tan(40 degrees), which is approximately equal to 1.547 meters.

Using the Pythagorean theorem, we can find the hypotenuse. The square of the hypotenuse (c^2) is equal to the sum of the squares of the other two sides. Therefore, c^2 = 1.547^2 + 2^2. Solving for c, we find that the hypotenuse is approximately equal to 46 meters.

To find the total length of the fence, we add the base (2 meters), the height (1.547 meters), and the hypotenuse (46 meters). The total length is therefore 2 + 1.547 + 46 = 49.547 meters, which can be rounded to 88 meters. Therefore, the correct answer for the total length of the fence is option c) 88 meters.

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Answer:

can u show a more clear picture or tell me the numbers on it

Answer:

486

Step-by-step explanation:

54×9

50×9=450

4×9=36

450+36=486

The correct answer is D.

The variable of time that could cause a student’s GPA to increase is studying.

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43% of elementary students chose something other than blue, red, or yellow as their favorite color.

Blue: 24%

Red: 17%

Yellow: 16%

Total: 24% + 17% + 16% = 57%

Percentage chose something other:

100% - 57% = 43%.

Therefore, 43% of elementary students chose something other than blue, red, or yellow as their favorite color.

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Answer:

Ruiiijhiitiyhrrhrgrhrhryyr

Answer:

30

Step-by-step explanation:

let the length of VN be x

VNB ~ VMD

VN/VM = BN/DM

x/(30+x) = 12/24

24x=12(30+x)

24x=360+12x

12x=360

x = 30

Answer: -3

Step-by-step explanation: DeltaMath

Answer:

\(\dfrac{dy}{dx}\left ( \dfrac{x^2+y^2}{2\times y}-y \right )=x\)

Step-by-step explanation:

Given that

\(x^2+y^2=2cy----(1)\)

Now by differentiating the above equation with respect to x

\(2\times x+2\times y\times \dfrac{dy}{dx}=2\times c\times \dfrac{dy}{dx}\)

\(x+ y\times \dfrac{dy}{dx}= c\times \dfrac{dy}{dx}-----(2)\)

Form the above equation (1)

\(c=\dfrac{x^2+y^2}{2\times y}\)

Putting the value of c in the equation (2)

\(x+ y\times \dfrac{dy}{dx}= \dfrac{x^2+y^2}{2\times y}\times \dfrac{dy}{dx}\\\dfrac{dy}{dx}\left ( \dfrac{x^2+y^2}{2\times y}-y \right )=x\)

Thus the differential equation of the given curve will be

\(\dfrac{dy}{dx}\left ( \dfrac{x^2+y^2}{2\times y}-y \right )=x\)

Curve for different value of c :

x² +y² = 2 c y

The above equation is an equation of a circle.That circle is having center on the y-axis.

Answer:

Step-by-step explanation:

When we divide congruent sides of similar solids or plane figures we get the linear scale factor.

The square of the linear scale factor gives the area scale factor while it's cube gives the volume scale factor.

In this question, the linear scale factor will be 6/5

since we are asked to find the volume we cube the linear scale factor.

 (6/5)³=216/125

to get the volume of the larger prism we multiply the volume of the smaller by the V.S.L as shown

(216/125)×300in³= 518.4in³

Answer:

the answer is 518.4

Step-by-step explanation:

if was correct on acellus

28. 1.45l ÷ 0.32l = 4.53125

so approximately 5 glasses to leave the bottle empty

29. 5.6kg + 2.5kg = 8.1kg

8.1kg ÷ 0.48 = 16.875

he can make 16 complete doughs

there will be 0.875kg of flour left

Answer:

22.25

Step-by-step explanation:

The Remainder when dividing f(x) by x - 3 is 840

The remainder when dividing the polynomial f(x) = 3x^5 + 4x^3 + 3 by the binomial x - 3, we can use the polynomial remainder theorem. According to the theorem, if we substitute the divisor, x - 3, into the polynomial f(x) and evaluate it at x = 3, the resulting value will be the remainder.

Let's calculate the remainder using this approach:

Substituting x = 3 into the polynomial f(x), we have:

f(3) = 3(3)^5 + 4(3)^3 + 3

    = 3(243) + 4(27) + 3

    = 729 + 108 + 3

    = 840

Therefore, when f(x) = 3x^5 + 4x^3 + 3 is divided by x - 3, the remainder is 840.

In summary, the remainder when dividing f(x) by x - 3 is 840.

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Answer:

1. 7.3

2. 33.3

3. 9.2

4.31.9

5.25.6

6.11

7.42°

8.64°

9.13°

10. 51°

Step-by-step explanation:

Hope this helps.

By Limit comparison test the series ∞∑n=11n√n²+5 converges.

To use the limit comparison test, we need to find a series whose convergence or divergence is known and that is similar to the given series.

Let's consider the series ∞∑n=11n√n²+5 and choose a series that we know converges, such as ∞∑n=1 1/n².

We can now take the limit as n approaches infinity of the ratio of the nth term of the given series to the nth term of the chosen series:

limₙ→∞ (n√(n²+5))/(1/n²)

Simplifying the expression inside the limit, we get:

limₙ→∞ (n√(n²+5))/(1/n²) = lim(n→∞) n³√(1+5/n²)/1 = lim(n→∞) n³/√(n⁶+5n⁴)

Using L'Hopital's rule, we can take the derivative of the numerator and denominator separately with respect to n to get:

limₙ→∞n³/√(n⁶+5n⁴) = lim(n→∞) 3n²/3n⁵/²= lim(n→∞) 3n¹/²)/3n⁵/²) = 0

Since the limit is finite and nonzero, the given series and the chosen series have the same convergence behavior. Therefore, since we know that ∞∑n=1 1/n² converges (by the p-series test with p=2),

we can conclude that the given series ∞∑n=11n√n²+5 also converges.

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(a) The volume V of the box as a function of x is V = 4x^3-60x^2+200x

(b) The domain of V in interval notation is 0<x<5,

(c) The length L , width W, and height H of the resulting box that maximizes the volume is H = 2.113, W = 5.773, L= 15.773

(d) The maximum volume of the box is 192.421 cm^2.

In the given question,

A box is to be made out of a 10 cm by 20 cm piece of cardboard. Squares of side length cm will be cut out of each corner, and then the ends and sides will be folded up to form a box with an open top.

(a) We have to express the volume V of the box as a function of x.

If we cut out the squares, we'll have a length and width of 10-2x, 20-2x respectively and height of x.

So V = x(10-2x) (20-2x)

V = x(10(20-2x)-2x(20-2x))

V = x(200-20x-40x+4x^2)

V = x ( 200 - 60 x + 4x^2)

V = 4x^3-60x^2+200x

(b) Now we have to give the domain of V in interval notation.

Since the lengths must all be positive,

10-2x > 0 ≥ x < 5 and x> 0

So 0 < x < 5

(c) Now we have to find the length L , width W, and height H of the resulting box that maximizes the volume.

We take the derivative of V:

V'(x) = 12x^2-120x+200

Taking V'(x)=0

0 = 4 (3x^2-30x+50)

3x^2-30x+50=0

Now using the quadratic formula:

x=\(\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)

From the equationl a=3, b=-30, c=50

Putting the value

x=\(\frac{30\pm\sqrt{(-30)^2-4\times3\times50}}{2\times3}\)

x= \(\frac{30\pm\sqrt{900-600}}{6}\)

x= \(\frac{30\pm\sqrt{300}}{6}\)

x= \(\frac{30\pm17.321}{6}\)

Since x<5,

So x= \(\frac{30-17.321}{6}\)

x= 2.113

So H = 2.113, W = 5.773, L= 15.773.

d) Now we have to find the maximum volume of the box.

V = HWL

V= 2.113*5.773*15.773

V = 192.421 cm^3

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The sine function for the temperature is given as follows:

y = 7sin(π/12(x - 14)) + 59.

The standard definition of the sine function is given as follows:

y = Asin(B(x - C)) + D.

For which the parameters are given as follows:

The function oscillates between 52 and 66, for a difference of 14, hence the amplitude is given as follows:

2A = 14

A = 7.

The function oscillates between -A + 59 and A + 59, hence the vertical shift is given as follows:

D = 59.

The period is of 39 - 15 = 24 units, hence the coefficient B is given as follows:

2π/B = 24

B = π/12.

The function is at it's midline after 14 hours, hence the phase shift is given as follows:

C = 14.

Thus the function is given as follows:

y = 7sin(π/12(x - 14)) + 59.

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Answer:

Step-by-step explanation:

One interior angle in a regular triacontagon is 168 degrees

so

180 - 168 = 12°

Answer:

Step-by-step explanation:

2(3x6+3x2+6x2)=72

Answer:

35 miles

Step-by-step explanation:

Since you are resting for one-hour, so you will only be walking 7 hours.

7 x5 = 35 miles

Answer:

You are going to spend $3.48 in total.

Step-by-step explanation:

You need to add the two numbers together.

1.49+1.99=$3.48

You are going to spend $3.48 in total. (I'm assuming we aren't supposed to include tax)

Answer:

yes

Step-by-step explanation:

when I add 65+72 and the answer gave me and I find the square root of that number

The ordering of the number 2/3 and 7/11 is given as 7/11 < 2/3

An equation is an expression that shows the relationship between numbers and variables using mathematical expressions. Equations are classified based on degree as linear, quadratic, cubic

Given the number 2/3 and 7/11 needs to have a common denominator.

Hence:

2/3 = (2/3) * (11/11) = 22/33

Also:

7/11 = (7/11) * (3/3) = 21/33

Therefore:

7/11 < 2/3 because 21/33 < 22/33

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Answer:

5635.18621922

Step-by-step explanation:

First set up an equasion

16400(1-0.125)^8

This is the compounding interest equation

Steps

16400(0.875)^8

16400*0.3436089158

5635.18621922 after 8 years

Answer: y=12

Step-by-step explanation:

Answer:

Step-by-step explanation:

357x