Determine the number of acute, obtuse, and right angles in the shape above. cute angles.​

Answer:

26

Step-by-step explanation:

65÷5, 3×2.

13x2+26

Answer:

1/4, or 4 times smaller

Step-by-step explanation:

Since the surface area of a cube is just the combination of the area of all of the square sides, and the formula for those is s^2, if the side length was decreased by 1/2 then the surface area would decrease by (1/2)^2=1/4. Hope this helps!

The area of triangle ABC is the amount of space on the triangle

The area of the triangle is 54.84 square units

Start by drawing the triangle (see attachment)

Next, calculate the measure of angle B using the following tangent ratio

\(\tan(B/2) = \frac 34\)

This gives

\(\tan(B/2) = 0.75\)

Take the arc tan of both sides

\(B/2 = 36.87\)

Multiply by 2

\(B = 73.74\)

Next, calculate the length of side AD using the following equation

\(AD = \tan(B) * BD\)

This gives

\(AD = \tan(73.74) * 4\)

\(AD =13.71\)

The area of the triangle is then calculated as:

\(Area = AD * BD\)

This gives

\(Area = 13.71 * 4\)

\(Area = 54.84\)

Hence, the area of the triangle is 54.84 square units

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Answer:

It was 50%

Step-by-step explanation:

Answer:

x = 63

Step-by-step explanation:

2x - 6 = 120

2x = 126

x = 63

Answer:

x=63

Step-by-step explanation:

You put 2x-6=120. So 120+6 is 126. You then divide 126 by to and get 63.

The answer of this question can be given by using congruence
Answer is 20°

What is an example of congruence?

Congruent relates to anything that is "exactly equal" in terms of size and shape. The shapes hold true regardless of how we rotate, flip, or turn them. Draw two circles with the same radius, for instance, cut them out, and stack them on top of one another.

Given That:

∡DBC = 20°

DC = AD

DB is common on both triangle

As we have hypotenuse common in both triangle and 1 side equal then we can sa it is a congruent triangle by RHS

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When x = 3, ŷ equals 4,609. Therefore, the correct answer is (c) 4,609.

The question asks for the value of ŷ when x = 3, given the least squares regression equation. To find ŷ, we simply substitute x = 3 into the equation:

ŷ = 1,204 + 1,135(3)
ŷ = 1,204 + 3,405
ŷ = 4,609

Therefore, the answer is (c) 4,609.

OR

To find the value of ŷ given the least squares regression equation ŷ = 1,204 + 1,135x and x = 3, follow these steps:

1. Plug in the value of x into the equation: ŷ = 1,204 + 1,135(3)
2. Multiply the numbers: ŷ = 1,204 + 3,405
3. Add the numbers: ŷ = 4,609

So when x = 3, ŷ equals 4,609. Therefore, the correct answer is (c) 4,609.

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In goverment  , a geographic information system (gis) is used to make the best use of personnel and equipment while dealing with a tight budget and maintaining crime statistics.

A good example of geographic segmentation is a clothing retailer that offers different products based on the weather and season in which their online customers live. Customers in New York need very different clothing during the winter months than customers in Los Angeles.

Geographic Sentence Example.Geographic isolation somewhat encourages state-owned industry I've been Living in the same geographical area all her life, she is exposed to only a small part of the biosphere. They laid a solid foundation with the publication of Charles Tissot's Geographical Comparisons (1884).

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Answer:

Step-by-step explanation:

The word "sine" (Latin "sinus") comes from a Latin mistranslation by Robert of Chester of the Arabic jiba, which is a transliteration of the Sanskrit word for half the chord, jya-ardha.

Answer:

\(x = 10 \: and \: y \: = 70.\)

Step-by-step explanation:

\(if \: from \: the \: sine - cosine \: rule : \\ \sin( \beta ) = \cos(90 - \beta ) \\ \cos( \beta ) = \sin(90 - \beta ) \\ then \: if : \\ sin(x+20)°=cos(y−10)° \\ let \: x + y = 80 \\ if \: x = 10. \\ y = 70. \\ \)

The decibel level of a conversation with intensity 10^-5 watts per square inch is 70 watts per square inch

In this question, we have been given the decibel level, D, of a sound with intensity I, as measured in watts per square inch, is given by

D = 10•log (I/10^-12).

We need to find the decibel level of a conversation with intensity 10^-5 watts per square inch.

For I =  10^-5 the value of D would be,

D = 10 * log (I/10^-12)

D = 10 * log(10^-5 / 10^-12)

D = 10 * log(10^-5 * 10^12)

D = 10 * log(10^(-5+12))

D = 10 * log(10^7)

D = 10 * 7(log 10)

D = 10 * 7 * 1

D = 70 watts per square inch

Therefore, the decibel level of a conversation with intensity 10^-5 watts per square inch is 70 watts per square inch

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Based on the given scatter plot, Spot's weight at age 50 is 36 pounds. So ,

option d is the right choice.

To find Spot's weight at the age of 50, we need to determine the corresponding weight value on the scatter plot. Let's analyze the given data:

Weight (in pounds): 50 45 40 35 30 25 20 15 10 5

Spot's Weight: 0 40 42 44 46 X

From the given data, we can see that as the weight decreases, the Spot's Weight increases. We can infer that as the age increases, Spot's weight decreases.

To find Spot's weight at age 50, we can observe that the weight decreases by 5 for each subsequent age. Therefore, we can assume that Spot's weight decreases by 5 for each increase in age.

Starting from the weight of 50, we can subtract 5 for each subsequent age to  find Spot's weight at age 50:

50 - 5 = 45

45 - 5 = 4

40 - 5 = 35

35 - 5 = 30

30 - 5 = 25

25 - 5 = 20

20 - 5 = 15

15 - 5 = 10

10 - 5 = 5

Now, let's match the values with the given Spot's Weight data:

Weight (in pounds): 50 45 40 35 30 25 20 15 10 5

Spot's Weight: 0 40 42 44 46 X

From the matching, we can see that Spot's weight at age 50 is 46.

Therefore, the correct answer is d. 36

The right option is d. 36

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His/her lowered score was most likely due to statistical regression.

The missing options in the question are:

A. compensation rivalry  B. Demoralization C.  Differential selection

D.  Testing E.  Statistical regression

From the question, we have:

A change (whether higher or lower) in the score is caused by statistical regression.

This is so because several variables could attribute to the change in the score.

The relationship between these variables is referred to as statistical regression

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The answer for the first question is A

The answer the second question is D

Step-by-step explanation:

so, let's look at the options.

A. (x+3)/x = 3

that hurts already by just looking at it.

but let's check anyway :

x + 3 = 3x

3 = 2x

and that is only true for one value of x (3/2), but not in general.

so, this is wrong.

B. (x²+5)/5 = x² + 1

x² + 5 = 5x² + 5

x² = 5x²

that is only true for one value of x (0), but not in general.

so, this is wrong.

C. (2x+7)/(2x+9) = 7/9

9(2x+7) = 7(2x+9)

18x + 63 = 14x + 63

4x = 0

that is only true for one value of x (0), but not in general.

so, this is wrong.

D. (-5x - 10)/(x+2) = -5

-5x - 10 = -5(x + 2) = -5x - 10

now this is true in all cases, so this is correct.

make simple :

(a² - 4a + 4) / (a² - 4)

with a little bit of experience you see right away that

a² - 4a + 4 = (a - 2)²

as we know from the generic squaring

(a - b)² = a² - 2ab + b² : a perfect fit.

and

(a² - 4) = (a + 2)(a - 2)

as we know from the generic factor multiplying

(a+b)(a-b) = a² + ab - ab - b² = a² - b² : a perfect fit.

so, the given expression is actually

(a - 2)² / ((a - 2)(a + 2)) = ((a-2)(a-2)) / ((a-2)(a+2))

and so, after eliminating one (a-2) term in the numerator and in the denominator the following remains :

(a - 2) / (a + 2)

and that is answer A

Answer:

1/2 (1 and a half)

Step-by-step explanation:

We get this because 2/3  are half of a whole. If we take half of 2/3 and multiply it by 2 we get a whole number. In this case it is 1.

Answer:

hi

Step-by-step explanation:

hop it help

Answer:

-8/15

Step-by-step explanation:

Reduce by 3

Answer:

8 (or 8.4)

Step-by-step explanation:

First, the problem states the words: Distinct and positive.

That means that the smallest number we can use is 0.

We can make 10 blanks for 10 numbers for us to fill in.

_ _ _ _ _ _ _ _ _ _

Since 10 is an even number, and the median is not one single number, it will be the middle of the two numbers.

In this case, our two numbers are the 5th and 6th blank.

Any two numbers can be used, as long as they are the same actual value from 10.

Let us first put in the numbers we can, which are the numbers before the two middle blanks.

0,1,2,3, _ _ _ _ _ _

To find the median between two numbers, we can do:

(a+b) divided by 2 = median

We can use the smallest following number, 4. Then the 6th number will have to be 16 for 10 to be in the middle.

Also try the largest possible number for the 5th blank, 9. Then the 6th number will be 11.

4+16 and 9+11 both equal 20, and 20 divided by 2 is 10. So both of these work.

Now let's place the other numbers in for these two equations.

0,1,2,3,4,16,17,18,19,20

0,1,2,3,9,11,12,13,14,15

If we add the numbers of each together, we get:

0,1,2,3,4,16,17,18,19,20=100

0,1,2,3,9,11,12,13,14,15= 80

If we now divide each sum by 10 (to find the average) we get:

10

8

Since both of these were the most we could go, one with the 5th number as small as possible and one with the 5th number as large as possible.

Since the smaller answer we got was 8, the answer must be 8.

(I believe 0 is a positive integer because it doesn't carry a negative sign. If 0 is not a positive integer, the answer is 8.4. Use the same process

Answer:

the line plot in the bottom right corner

Step-by-step explanation:

Answer:

D is the correct graph.

Step-by-step explanation:

First you put the entries in ascending order, because that's how the line plot needs to be ordered.

1/4, 3/8, 1/2, 3/4, 7/8, 1, 1 1/4

So right there, you can rule out A.

You can rule out C because 1/4 does not occur 5 times in the data set.

B is incorrect because 3/8 isn't on the line plot at all.

Please let me know if you have questions.

(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 vectors u, v, and w are linearly independent if and only if k ≠ -8.

To understand why, let's consider the determinant of the matrix formed by these vectors:

| -4   -3    -4   |

| -3   -3    -11+k |

| 5    -11+k  7    |

If the determinant is nonzero, then the vectors are linearly independent. Simplifying the determinant, we get:

(-4)[(-3)(7) - (-11+k)(-11+k)] - (-3)[(-3)(7) - 5(-11+k)] + (-4)[(-3)(-11+k) - 5(-3)]

= (-4)(21 - (121 - 22k + k^2)) - (-3)(21 + 55 - 55k + 5k) + (-4)(33 - 15k)

= -4k^2 + 80k - 484

To find the values of k for which the determinant is nonzero, we set it equal to zero and solve the quadratic equation:

-4k^2 + 80k - 484 = 0

Simplifying further, we get:

k^2 - 20k + 121 = 0

Factoring this equation, we have:

(k - 11)^2 = 0

Therefore, k = 11 is the only value for which the determinant becomes zero, indicating linear dependence. For any other value of k, the determinant is nonzero, meaning the vectors u, v, and w are linearly independent. Hence, k ≠ 11.

In conclusion, the vectors u, v, and w are linearly independent if and only if k ≠ 11.

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1.4 I think I hope im right sorry If my not

To know the minimum rotation we have to do to map the figure onto itself, we just divide 360° by the total number of sides

So, every rotation that can be divide by 40 would be the answer, let's divide

1/7 of the animals in the zoo are male monkeys.

To find the fraction of animals in the zoo that are male monkeys, we have to calculate the product of the fractions representing the proportion of monkeys and the proportion of male monkeys among them.

Given that 1/5 of the animals in the zoo are monkeys, we will then represent this as:

= 1/5

= 5/25.

And 5/7 of the monkeys are male which is written as 5/7.

To get fraction of male monkeys, we will multiply these two fractions:

= (5/25) * (5/7)

= 25/175

= 1/7.

Full question:

1/5 of the animals in the zoo are monkeys 5/7 of the monkeys are male. What fraction of the animals in the zoo are male monkeys?

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Answer:

18 bags of skittles

Step-by-step explanation:

19-7.25-0.5x=2.75

=> -0.5x=-9

=> x=18

The standard deviation of the sample mean decreases as the sample size increases. This is because the larger the sample size, the more accurately it reflects the population mean.

The standard deviation of the sample mean is a measure of how close the sample mean is to the population mean. The sample mean is an estimate of the population mean, and the standard deviation of the sample mean is a measure of how accurate that estimate is. When the sample size is increased, the sample mean becomes a more accurate estimate of the population mean, thus the standard deviation of the sample mean decreases. This is because the larger the sample size, the more accurately it reflects the population mean, and the closer the sample mean is to the population mean, the lower the standard deviation of the sample mean. The decrease in the standard deviation of the sample mean as the sample size increases is called the law of large numbers.

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Answer:

n+1=4(n-8)

n+1=4xn/4 x-8

n+1=4n-32

1+32=4n-n

33=3n

33/3=3n/3

11=n

Step-by-step explanation:

Answer:

The last 3

Step-by-step explanation:

The probability to seven decimal places that a restaurant that buys 15 of this company's TV sets will have at least one with a defective power switch using,

a) the hypergeometric distribution is 0.0969319.

b) the binomial distribution is 0.0969399.

(a) Using the hypergeometric distribution:

The probability of getting at least one defective TV set in a sample of 15 TV sets can be calculated as follows

P(X ≥ 1) = 1 - P(X = 0)

where X is a random variable that represents the number of defective TV sets in the sample.

The hypergeometric probability mass function is given by:

P(X = x) = (\({}^{M}C_x\)) × (N - \({}^{M}C_n\) - x) / (\({}^{N}C_n\))

where M is the population's number of malfunctioning televisions (7200) N is the population's total number of TVs (1 million) The sample size is n, and the number of defective TVs in the sample is (15x).

Plugging in the values:

P(X = 0) = (\({}^{7000}C_0\)) × (1 million - \({}^{7000}C_{15}\) - 0) / (\({}^{1m}C_{15}\)) = 0.9030681

Therefore,

P(X ≥ 1) = 1 - P(X = 0) = 1 - 0.9030681 = 0.0969319 (to seven decimal places)

(b) Using the binomial distribution, it is also possible to determine the likelihood that a sample of 15 TV sets would contain at least one damaged TV:

P(X ≥ 1) = 1 - P(X = 0)

where X is a binomial irregular variable with boundaries n = 15 and p = M/N.

At the point when N is the complete number of Televisions in the populace and M is the number of broken Televisions in the populace, the likelihood of getting a deficient Television in one preliminary is given by the recipe p = M/N.

Inserting the values:

p = 7200/1 million = 0.0072

P(X = 0) = (\({}^{15}C_0\)) × \(0.0072^0\) × \((1 - 0.0072)^{15}\) = 0.9030600

Therefore,

P(X ≥ 1) = 1 - P(X = 0) = 1 - 0.9030600 = 0.0969399 (to seven decimal places)

As a result, there is very little separation between the probability derived using the hypergeometric and binomial distributions, which is just approximately 0.000008.

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(a) The basic variables in the given tableau are Z, X₁, and a₂.
(b) The ratio calculations for each row show that X₂ will enter the basis next, based on the row with the smallest positive ratio.

The given Simplex tableau represents a linear programming problem. Let's analyze the tableau and answer the questions in parts (a) and (b).

(a) Based on the given tableau, the basic variables are Z, X₁, and a₂.

- The basic variable Z represents the objective function value, which is currently 1.
- The basic variable X₁ represents the first decision variable, which is currently 3.
- The basic variable a₂ represents the second decision variable, which is currently 2.

(b) The ratio is used in the simplex method to determine which variable will enter the basis next. To calculate the ratio, divide the right-hand side (rhs) value of each row by the value of the column corresponding to the variable entering the basis. The variable with the smallest positive ratio will enter the basis next.

In this case, the entering variable is X₂, so we need to calculate the ratio for each row:

- For row 1, the ratio is (6-2M) / ((M-9)/2) = (12-4M) / (M-9).
- For row 2, the ratio is 3 / (-1/2) = -6.
- For row 3, the ratio is 2 / 0 = undefined (since the denominator is 0).

Based on the calculated ratios, the row with the smallest positive ratio is row 1. Therefore, X₂ will enter the basis next.

Therefore,
(a) The basic variables in the given tableau are Z, X₁, and a₂.
(b) The ratio calculations for each row show that X₂ will enter the basis next, based on the row with the smallest positive ratio.

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