Use the coordinate plane to help you identify the length of each leg then use the Pythagorean Theorem to find the length of CD​

Answer:

sei Nao????????????????????????????????????????

Step-by-step explanation:

what should be the result ?

all I can see are very simple expressions, but with no way to e.g. solve them to a single number or do something else specifically.

so, all I can do is resolve brackets and such.

6. -(x+4) = -x - 4

8. 7a(3b - 2c + 4) = 21ab - 14ac + 28a

10. 2/3 (1/4 x - 6) = 2/12 x - 6×2/3 = 1/6 x - 2×2 = 1/6 x - 4

Answer:

C. 8 units.

Step-by-step explanation:

The maximum value of the cosine ( cos) function is 1

So, for y = 3cos(2x - 8) + 5

Maximum value  is 3 *1 + 5 = 8.

y = -3cos(2x - 8) + 5 is the above graph reflected in the y axis so the maximum value is also 8.

Answer:

a)1:4 b)3:1

Step-by-step explanation:

a) 14:56

divide each side by 14 which gives you

1:4  

b) you do 240-180 to see how many were sold in a high street shop which 240-180=60

the ration becomes

180:60

divide each side be 60

this gives you

3:1

a) Altitude of triangle ABC

b) Angle bisector of angle H

c) Median of triangle JKL

Answer:

n(a or b) = n(a) + n(b) - n(a and b)

= 44 + 21 - 4 = 61

To solve the expression -25 x (84/21) + (-3) x (-6), follow these steps:

Step 1: Perform the division inside the parentheses.
(84/21) = 4

Step 2: Replace the terms and rewrite the expression.
-25 x (4) + (-3) x (-6)

Step 3: Perform the multiplications.
-25 x 4 = -100
-3 x -6 = 18

Step 4: Rewrite the expression and perform the addition.
-100 + 18

Step 5: Calculate the final result.
-100 + 18 = -82

Your answer is -82.

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Answer:

-2

Step-by-step explanation:

Answer:

B) -2

Step-by-step explanation:

Just took the test and got it correct

Answer:

11 cm, 19 cm, 27 cm

Step-by-step explanation:

Triangles have 3 sides and perimeter is the sum of all side lengths. So the equation is x + (2x-3) + (2x+5) = 57.

x + (2x-3) + (2x+5) = 57

x + 2x - 3 + 2x + 5 = 57

x + 2x + 2x - 3 + 5 = 57

5x + 2 = 57

5x = 57 -2

5x = 55

x = 11

Now that we know the value of x, we can figure out the side lengths. The first side (x) is 11 cm long, the second side (2x - 3) is 19 cm, and the third side (2x + 5) is 27 cm long.

Answer with step by step explanation

The perimeter of a triangle is the sum of the sides.

There fore,

Now, let us solve the above equation and find the value of x.

Let us solve.

x + 2x - 3 + 2x + 5 = 57

Combine like terms.

5x -3 + 5 = 57

5x + 2 = 57

5x = 57 - 2

5x = 55

Divide both sides by 5.

x = 11

And now they've asked us to write the lengths of three sides.

Let us write now.

Let me know if you have any other questions. :)

Using a system of equations, it is found that there are 147 dimes and 52 quarters in the machine.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

There are 199 coins, hence:

x + y = 199 -> y = 199 - x.

The value of dimes(each is worth $0.1) is $1.7 more than the sum of the quarters(each is worth $0.25), hence:

0.1x - 0.25y = 1.7.

Since y = 199 - x:

0.1x - 0.25(199 - x) = 1.7.

0.35x = 51.45

x = 51.45/0.35

x = 147

y = 199 - 147 = 52

There are 147 dimes and 52 quarters in the machine.

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A graphical plot with sales on the Y axis and time on the X axis is a:

a. Scatter diagram.

Using a single variable on each axis, the scatter diagram plots pairings of numerical data in an effort to identify any relationships between them. A line or curve will be formed by the points if the variables are correlated. The points will hug the line closer the more highly correlated the data is. You may also visualise the strength of any relationship. If the researcher believes there may be a correlation, a line of greatest fit can also be drawn on the graph.

Data points are shown on a horizontal and vertical axis using scatter plots in an effort to demonstrate the degree to which one variable is influenced by another.

Thus, correct option: a

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Answer:

ed

Step-by-step explanation:

Answer:

y ≥ 2x + 4

hope this may help!

a)     |\

       |  \

  Y  |    \

      |      \

     |         \

     | ____ \

         X

b) A = 1/102

c) Marginal PDF fx(x) = (1/102) * x

Marginal PDF fy(y) = (51/102)

No, X and Y are not independent since their marginal PDFs fx(x) and fy(y) are not separable (i.e., they cannot be expressed as the product of individual PDFs)

d) P(0 < X < 2, 1) = 1.

a) To sketch the sample space, we need to consider the ranges of X and Y as defined in the problem statement: 0 < x < 1 and 0 < y < 2x. This means that X ranges from 0 to 1 and Y ranges from 0 to 2X. The sample space can be represented by a triangular region bounded by the lines Y = 0, X = 1, and Y = 2X.

       |\

       |  \

  Y  |    \

      |      \

     |         \

     | ____ \

         X

b) To find the value of A so that fx,y(x, y) is a valid joint PDF, we need to ensure that the joint PDF integrates to 1 over the entire sample space.

The joint PDF is given by fx,y(x, y) = A(48 + 3), where 0 < x < 1 and 0 < y < 2x.

To find A, we integrate the joint PDF over the sample space:

∫∫fx,y(x, y) dy dx = 1

∫∫A(48 + 3) dy dx = 1

A∫∫(48 + 3) dy dx = 1

A(48y + 3y)∣∣∣0∣∣2xdx = 1

A(96x + 6x)∣∣∣0∣∣1 = 1

A(96 + 6) = 1

102A = 1

A = 1/102

Therefore, A = 1/102.

c) To find the marginal PDFs fx(x) and fy(y), we integrate the joint PDF over the respective variables.

Marginal PDF fx(x):

fx(x) = ∫fy(x, y) dy

Since 0 < y < 2x, the integral limits for y are 0 to 2x.

fx(x) = ∫A(48 + 3) dy from 0 to 2x

fx(x) = A(48y + 3y)∣∣∣0∣∣2x

fx(x) = A(96x + 6x)

fx(x) = 102A * x

fx(x) = (1/102) * x

Marginal PDF fy(y):

fy(y) = ∫fx(x, y) dx

Since 0 < x < 1, the integral limits for x are 0 to 1.

fy(y) = ∫A(48 + 3) dx from 0 to 1

fy(y) = A(48x + 3x)∣∣∣0∣∣1

fy(y) = A(48 + 3)

fy(y) = A(51)

fy(y) = (51/102)

No, X and Y are not independent since their marginal PDFs fx(x) and fy(y) are not separable (i.e., they cannot be expressed as the product of individual PDFs).

d) To find P(0 < X < 2, 1), we need to integrate the joint PDF over the given range.

P(0 < X < 2, 1) = ∫∫fx,y(x, y) dy dx over the region 0 < x < 2 and 0 < y < 1

P(0 < X < 2, 1) = ∫∫A(48 + 3) dy dx over the region 0 < x < 2 and 0 < y < 1

P(0 < X < 2, 1) = A(48y + 3y)∣∣∣0∣∣1 dx over the region 0 < x < 2

P(0 < X < 2, 1) = A(48 + 3) dx over the region 0 < x < 2

P(0 < X < 2, 1) = A(51x)∣∣∣0∣∣2

P(0 < X < 2, 1) = A(102)

P(0 < X < 2, 1) = (1/102)(102)

P(0 < X < 2, 1) = 1

Therefore, P(0 < X < 2, 1) = 1.

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Answer:

15 inches

Step-by-step explanation:

multiply one side length by four to get the perimeter of a square.

3 3/4 x 4 = 15

The correct statement is c. The Adjusted R-squared is a measure used in multiple regression analysis that is between 0 and 1. It is different from the R-squared value in simple linear regression.

The Adjusted R-squared can decrease if the addition of another X regressor does not sufficiently lower the sum of squared residuals (SSR) relative to the impact of increasing the number of predictors (k). It measures the proportion of the variance explained by the predictors, adjusted for the number of predictors and the sample size, rather than the ratio of the sum of squared residuals to the total sum of squares. It provides a measure of how well the regression model fits the data, and it ranges between 0 and 1. A value closer to 1 indicates that a higher proportion of the variance in the dependent variable is explained by the predictors.

Adding another X regressor to the multiple regression model can impact the Adjusted R-squared. If the additional regressor does not significantly contribute to reducing the sum of squared residuals (SSR) relative to the increase in the number of predictors (k), the Adjusted R-squared can decrease. This means that the added regressor does not improve the model's ability to explain the variance in the dependent variable adequately.

However, the Adjusted R-squared does not directly measure the ratio of the sum of squared residuals to the total sum of squares. Instead, it represents the proportion of the variance explained by the predictors, adjusted for the number of predictors and the sample size. It penalizes models with a large number of predictors that may overfit the data, thereby providing a more reliable measure of the model's goodness of fit.

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The probability that a set of all bulbs work is 0.88.

The total probability rule (also known as the Law of Total Probability) divides probability calculations into discrete steps.

Now, as per the question;

The total number of bulbs be 120 and each bulb is working as independent event.

The reliability of each bulb is 99.9% = 0.999

Let 'p' the probability the bulb will work.

The probability that all will work = p¹²⁰

The probability that all will work = (0.999)¹²⁰ = 0.886

Thus, the probability that all bulb will work is 88.6%.

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There are 165 different committees possible where no member has any specific responsibilities

To solve this problem the formula and the combination procedure we must use is:

C(n/r) = n! / [(n-r)! *r!]

Where:

Information about the problem:

Applying the combination formula we have:

C(n/r) = n! / [(n-r)! *r!]

C(11/3) = 11! / [(11-3)! *3!]

C(11/3) = 11! / [(8)! *3!]

C(11/3) = 11*10*9*8! / [(8)! *3!]

C(11/3) = 11*10*9/3!

C(11/3) = 990/6

C(11/3) = 165

In mathematics, a combination or combinations are all the possible groupings that can be made of a given number of elements, without repeating them and regardless of the order in which they are found.

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Negative 7 = -7

Positive 2 = +2

\( - 7 - ( + 2) \\ \\ = - 7 - 2 \\ \\ = - 9\)

Answer:

b

Step-by-step explanation:

because it equals -3

Answer:

Step-by-step explanation:

\(\sf 15+\left(-18\right)\)

\(\sf Rule: a+\left(-b\right)=a-b\)

\(\sf 15-18\)

Subtract numbers:

\(\sf -3\)

~~~~~~~~~~~~~~~~~~~~~~~~

Hope it helps!

Have a good day!

The length of the third side of the triangle which is the hypotenuse is 17 with other sides being 8 and 12.

This is referred to as a three-sided polygon that consists of three edges and three vertices and the longest side is referred to as the hypotenuse.

In other to get the length of the sides of a triangle, we have to apply pythagoras theorem which is seen below:

a² + b² = c²

To get the hypotenuse , we can use c=√a²+b²

c = √8² + 12²

c = √64 + 144

c = √289 = 17.

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Answer:

J

Step-by-step explanation:

First you convert every number into a decimal to make it easier. 4.25 and -6.5 are already decimals, so don't worry about those. 1/2 is equal to .5, and -4/5 is equal to -.8 . The correct order for greatest to least would be J- 4.25, .5, -.8, -6.5

The division represented by the model is:

B:1/6÷2

First, we can see a square that is divided into 6 strips, and one of these strips (actually half of it) is shaded, so we can start by writing:

1/6

Now, notice that only half of the strip is shaded, so we need to divide again by 2, then we will get the division:

(1/6)/2

That is the division represented by the model. So the correct option is B

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The solution to the given differential equation is: x⁷ cos y = y + C

where C is the constant of integration

To solve the given differential equation:

\(\[7x^6\cos y dx - dy = 0\]\)

We can separate the variables and integrate both sides.

Separating variables, we can write the equation as:

\(\[7x^6\cos y dx = dy\]\)

Now, we can integrate both sides with respect to their respective variables:

\(\[\int 7x^6\cos y dx = \int dy\]\)

Integrating the left side:

\(\[\int 7x^6\cos y dx = 7 \int x^6 \cos y dx\]\)

To integrate \(\(x^6 \cos y\)\)with respect to x, we can use integration by parts.

Let's take u = x⁶ and \(\(dv = \cos y dx\)\).

Differentiating u with respect to \(\(x\) gives \(du = 6x^5 dx\).\)

Integrating dv with respect to x gives \(\(v = \int \cos y dx = \cos y \cdot x\).\)

Applying the integration by parts formula:

\(\[\int x^6 \cos y dx = u \cdot v - \int v \cdot du\]\)

Substituting the values:

\(\[\int x^6 \cos y dx = x^6 \cdot \cos y \cdot x - \int (\cos y \cdot x) \cdot (6x^5 dx)\]\)

Simplifying:

\(\[\int x^6 \cos y dx = x^7 \cos y - 6 \int x^6 \cos y dx\]\)

Moving the integral term to the left side:

\(\[7 \int x^6 \cos y dx = x^7 \cos y\]\)

Dividing both sides by 7:

\(\[\int x^6 \cos y dx = \frac{x^7 \cos y}{7}\]\)

Now, substituting this result back into our original equation:

\(\[7 \int x^6 \cos y dx = dy\]\)

\(\[\frac{7x^7 \cos y}{7} = dy\)

Simplifying:

x⁷ cos y = dy

Finally, the solution to the given differential equation is:

x⁷ cos y = y + C

where C is the constant of integration.

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There are 37 ways in which the seats on the carousel can be randomly filled by 9 people, considering both scenarios of people sitting on the bench seat or not.

To determine the number of ways the seats on the carousel can be randomly filled by 9 people, we need to consider the different combinations of people sitting on the horses and the bench seat.

There are two scenarios to consider:

Scenario 1: Two people sitting on the bench seat:

In this case, we need to select 2 people out of the 9 to occupy the bench seat, which can be done in C(9, 2) = 36 ways. The remaining 7 people will occupy the horse seats.

Scenario 2: No one sitting on the bench seat:

Here, all 9 people will occupy the horse seats, and the bench seat remains empty.

To get the total number of ways, we sum up the possibilities from both scenarios:

Total number of ways = Number of ways in Scenario 1 + Number of ways in Scenario 2

                   = 36 + 1

                   = 37

Therefore, there are 37 ways in which the seats on the carousel can be randomly filled by 9 people.

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The equation of the hyperbola for the cross section of the cooling tower is x²/8100 - y²/9506.25 = 1.

We must take into account its characteristics in order to formulate the hyperbola's equation for the cooling tower's cross section.

Since the origin serves as the hyperbola's centre, its coordinates are (0, 0).

The left/right opening of the hyperbola indicates that the primary axis is horizontal.

The cooling tower's smallest diameter is 180 metres, which is the same length as the minor axis.

The primary axis' 195 m length and the diameter at its highest point are matched.

The hyperbola's highest point is 80 metres above the centre.

These characteristics allow us to write the hyperbola's equation in standard form:

(x - h)²/a² - (y - k)²/b² = 1

Where (h, k) represents the center of the hyperbola.

Substituting the given values:

Center: (h, k) = (0, 0)

Minor axis: 2a = 180 m, so a = 90 m

Major axis: 2b = 195 m, so b = 97.5 m

Vertical shift: c = 80 m

Now we can write the equation of the hyperbola:

x²/90² - y²/97.5² = 1

Simplifying, we have:

x²/8100 - y²/9506.25 = 1

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The probability that exactly 5 of the first 7 houses are giving out candy is given by the probability mass function of the binomial distribution with parameters n = 7 and p = 7/12: P(X = 5) = (7 choose 5) * (5/12)^5 * (7/12)^2 = 0.1464, correct to four decimal places.

Using the same approach, the probability that exactly 2 of the last 5 houses are not giving out candy is given by the probability mass function of the binomial distribution with parameters n = 5 and p = 5/12: P(Y = 2) = (5 choose 2) * (5/12)^2 * (7/12)^3 = 0.2818, correct to four decimal places.

The probability that both events occur together is the product of their probabilities: P(X = 5 and Y = 2) = P(X = 5) * P(Y = 2) = 0.1464 * 0.2818 = 0.0413, correct to four decimal places.

Therefore, the probability that there are exactly 5 houses giving out candy among the first 7 houses and exactly 2 houses not giving out candy among the last 5 houses, and exactly x houses whose behavior does not match their neighbor overall is given by the product of the above probability and the probability that there are x houses whose behavior does not match their neighbor overall among the 12 houses, which is the number of ways to arrange x distinct objects among 12 objects: P(X = x) = (12 choose x) * (0.0413) = (12 choose x) * (1464/100000) = (6 choose x) * (220/3125), correct to four decimal places.

Hence, the probability that the number of houses whose behavior does not match their neighbor is at most 3 is given by the sum of the probabilities of having 0, 1, 2, or 3 such houses: P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = (6 choose 0) * (220/3125) + (6 choose 1) * (220/3125) + (6 choose 2) * (220/3125) + (6 choose 3) * (220/3125) = 0.7444, correct to four decimal places.

Therefore, the probability that the number of houses whose behavior does not match their neighbor is more than 3 is given by the complement of the above probability:\(P(X > 3) = 1 - P(X ≤ 3) = 0.2556\\\), correct to four decimal places

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Answer:25.7

Step-by-step explanation:

(36.39- 2.99)/20

Total- chips, so total amount for juice.

Then, divide by 20 because she bought 20 bottles

Answer:

1.67

Step-by-step explanation:

36.39 - 2.99 = 33.4 33.4 ÷ 20 = 1.67

Answer:

About 13 students

Step-by-step explanation:

30*45%=13.5

13.5<14