What is the probability of getting an odd number on the first roll and less than 3 on the second roll? * choise 1/6 3/6 2/6 3/5​

Answer:

the options are not numbered so I have added each of the correct answers under their corresponding question number. the answers in bold letters are right options from the question.

Step-by-step explanation:

a.)

the width of the interval decreases, since the standard error decreases. this is the answer to this question. this happens to a confidence interval as the sample size gets increased. that is if every other thing remains the same.

b.

the answer to this question is that the interval gets wider since the t value required to Capture a larger proportion of the sampling distribution of the sample mean gets larger. so the last option is the answer to the question.

c.

the margin of error shows the degree of random sampling error that is in the result of a survey. the correct answer to this question is this:

in a confidence interval for a population mean, the margin of error describes the difference between the sample mean and the population mean. Due to the random sampling method, different sample means will be different.

d.

regarding this question, we use a z score because:

For large random samples the sampling distribution of the sample proportion is approximately normal.

e.

the answer to this is false.

thank you!

Answer:

Ой ну не знаю очень сложный вопрос

Answer: true i think

Step-by-step explanation:

Answer:

わたしは、あなたを愛していますZesto

Answer:

A. To convert pounds to kilograms, we need to multiply by 0.453592. Therefore, the fish from region A weighs about 130 kg (286 x 0.453592), rounded to the nearest whole number.

B. Similarly, the fish from region B weighs about 279 kg (614 x 0.453592), rounded to the nearest whole number.

Answer:

Congratulations!

Step-by-step explanation:

The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.

To understand why this is the case, let's break down each expression and simplify them step by step:

StartRoot \(8 x^7 y^8\) EndRoot:

We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.

Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.

(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:

Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.

Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.

Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.

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1. The length of one side of the field with a total area of 289² feet (289 square feet) is 17 feet.

2. The perimeter of the square field is 68 feet.

The perimeter is the distance around the boundary of the square field.

Since the length or distance of each of the four sides is 17 feet, the perimeter is the product of 17 x 4, which is 68 feet.

The total area of a square field = 289² feet

The length of one side of the square field = 17 feet ( \(\sqrt289\))

The perimeter of the square = 68 feet (17 x 4)

Thus, the length of each side of the square field is 17 feet with a perimeter of 68 feet.

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The completed sequence is: 3/k, 3/k, 3/k, 9/2k.To complete the sequence of numbers with a constant difference between adjacent numbers, we can calculate the common difference by subtracting the first term from the second term.

Let's denote the missing terms as A and B.

The given sequence is: 3/k, A, B, 9/2k.

The common difference can be found by subtracting 3/k from A or B. Therefore:

A - 3/k = B - A = 9/2k - B.

To simplify, we can equate the two expressions for the                     common difference:

A - 3/k = 9/2k - B.

Next, we can solve for A and B using this equation.

Adding 3/k to both sides gives:

A = 3/k + 9/2k - B.

Now, we can substitute the value of A into the equation:

3/k + 9/2k - B - 3/k = 9/2k - B.

Simplifying further, we have:

9/2k - 3/k = 9/2k - B.

Cancelling out the common terms, we find:

-3/k = -B.

Multiplying both sides by -1, we get:

3/k = B.

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Answer:

28

Step-by-step explanation:

The area is multiplying the width and height together divided by two. 9*8 is 56. 56/2 is 28.

Answer:

x  =24

Step-by-step explanation:

Call the angle in the lower right corner y

The outside angles add to 180 degrees for the large triangle

41+ 94+ y = 180

135 + y = 180

y = 180-136

y =45

The small triangle in the lower right also has angles that add to 180

y+ 111+x = 180

45+111+x = 180

156 + x = 180

x = 180-156

x =24

Answer:

x = 24

Step-by-step explanation:

Angles on a straight line add up to 180 degrees.

a + 111 = 180

180 - 111 = a

a = 69

Angles in a quadrilateral add up to 360 degrees.

69 + 41 + 94 + c = 360

204 + c = 360

c = 360 - 204

c = 156

Angles on a straight line add up to 180 degrees.

x + 156 = 180

x = 180 - 156

x = 24

Answer:

the answer is -3 1/4

Step-by-step explanation:

The additive Inverse of 3 1/4​ will be - 3 1/4.

Suppose that the given function is \(f:X\rightarrow Y\)

Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is

It simply means, inverse of 'f' is undo operator, that takes back the effect of 'f'

We are given the number as;

3 1/4​ = 13/4

Therefore, the additive Inverse of 3 1/4​ will be;

Negative 13/4 = - 3 1/4

Hence, the additive Inverse of 3 1/4​ will be - 3 1/4.

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Answer:

The width of the prism is 2 cm

Step-by-step explanation:

The given parameters are;

The volume of the prism = 170 cm³

The length of the prism = 5 cm

The height of the prism = 17 cm

The volume of the prism is given by the  relationship v = Length, l × Height, h × Width, w

Therefore;

The volume of the prism = 5 cm × 17 cm × w = 170 cm³

Which gives;

w = 170 cm³/(5 cm × 17 cm) = 170 cm³/(85 cm) = 2 cm

∴ The width of the prism = 2 cm.

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Answer:

0.167

Step-by-step explanation:

if you divide 30/180 it will get you a decimal of 0.166666667 but if you were to divide 180 by 30 you will get 6

technecaly your answer would be 0.166666667 but you only take the first number in the decimal which is 0.1 then take six 0.16 then add the 7 0.167

that should end up being your answer if i did the math right

Answer:

Step-by-step explanation:

5/12 * 6/15 =30/180

1/6=1/6

which is true, Right-hand side is equal to left-hand side

Answer:

x = - 1

Step-by-step explanation:

P = \(\frac{x-2}{x+1}\)

the denominator of the rational function cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the value that x cannot be.

x + 1 = 0 ( subtract 1 from both sides )

x = - 1

P is undefined when x = - 1

Answer:

Conceptual spaces

Step-by-step explanation:

Spaces that may be defined by rows of columns, rows of trees, variations in the ground plane (floor) levels and textures, variations in ceiling heights, etc. are called  Conceptual Spaces.

A conceptual space is formed from geometric representations based on a number of qualitative dimensions. The theory will emphasize the constructive aspect of cognitive science.

The given situation represents Conceptual spaces.

It refers to the spaces where the rows of columns, rows of trees, variations in the levels and textures of the ground plane should be treated as the Conceptual Spaces. It is created from the representation of the geometric situation that depend upon the number of qualitative dimensions.

Therefore, we can say that it should be the Conceptual spaces.

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Answer:

$18.15 of taxes

Step-by-step explanation:

based on the givens: 220 (4.6%  + 3.65% )

calculate the sum or difference: 220 x 0.0825

calculate the product: 18.15

Answer:

If 1/5 of 30 eggs is bad, then 4/5 of 30 eggs is good.

4/5 of 30 = 4*6/5*6 = 24/30

24 eggs are good

4/5 of the eggs are good

Step-by-step explanation:

Answer: Equilateral

Step-by-step explanation:

It's equilateral because it says that each side of the triangle is 4cm. In simple words, all the sides of triangle are equal. Such a triangle is called an equilateral triangle.

Hope you understood.

Answer:

Step-by-step explanation

: el resultado es 6.43736 metros o 4 millas

l

Binomial expansion is used to factor expressions that can be expressed as the power of the sum of two numbers.

The proof that (1.01)^12 exceeds (1.02)^6 by 0.0007 is\(\mathbf{(1.01)^{12} - (1.02)^6 \approx 0.0007 }\)

The expressions are given as:

\(\mathbf{(1.01)^{12}\ and\ (1.02)^6}\)

A binomial expression is represented as:

\(\mathbf{(a + b)^n = \sum\limits^n_{k=0}^nC_k a^{n - k}b^k}\)

Express 1.01 as 1 + 0.01

So, we have:

\(\mathbf{(1.01)^{12} = (1 + 0.01)^{12}}\)

Apply the above formula

\(\mathbf{(1.01)^{12} = ^{12}C_0 \times 1^{12 - 0} \times 0.01^0 + ......... .......... + ^{12}C_{12} \times 1^{12 - 12} \times 0.01^{12} }}\)

\(\mathbf{(1.01)^{12} = 1 \times 1 \times 1 + ......... .......... + 1 \times 1 \times 10^{-24} }}\)

\(\mathbf{(1.01)^{12} = 1 + ......... .......... + 10^{-24} }}\)

This gives

\(\mathbf{(1.01)^{12} = 1.1268\ (approximated)}\)

Similarly,

Express 1.02 as 1 + 0.02

So, we have:

\(\mathbf{(1.02)^6 = (1 + 0.02)^6}\)

Apply \(\mathbf{(a + b)^n = \sum\limits^n_{k=0}^nC_k a^{n - k}b^k}\)

\(\mathbf{(1.02)^6 = ^6C_0 \times 1^{6 - 0} \times 0.02^0 + ^6C_1 \times 1^{6 - 1} \times 0.02^1 +.............. + ^6C_6 \times 1^{6 - 6} \times 0.02^6 }\)\(\mathbf{(1.02)^6 = 1 \times 1 \times 1 + 6 \times 1 \times 0.02 +.............. + 1 \times 1 \times 6.4 \times 10^{-11} }\)

\(\mathbf{(1.02)^6 = 1 + 0.12 +.............. + 6.4 \times 10^{-11} }\)

This gives

\(\mathbf{(1.02)^6 = 1.1261\ (approximated) }\)

Calculate the difference as follows:

\(\mathbf{(1.01)^{12} - (1.02)^6 \approx 1.1268 - 1.1261 }\)

\(\mathbf{(1.01)^{12} - (1.02)^6 \approx 0.0007 }\)

The above equation means that:

(1.01)^12 exceed the value of (1.02)^6 by 0.0007

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The unknown angles in the circle are as follows:

a. m∠AEB = 73°

b. arc angle VW = 155°

a.

If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

Therefore,

m∠AEB = 1 / 2 (99 + 47)

m∠AEB = 146 / 2

m∠AEB = 73 degrees

b.

If two secants intersect outside a circle , then the measure of an angle formed by the two lines is one half the positive difference of the measures of the intercepted arcs .

Therefore,'

arc angle VW = x

55 = 1 / 2 (x - 45)

55 = 0.5x  - 22.5

0.5x = 55 + 22.5

0.5x = 77.5

divide both sides by 0.5

x = 77.5 / 0.5

x = 155 degrees

Therefore,

arc angle VW = 155 degrees

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Answer:

$14500

Step-by-step explanation:

It wuld be 580,000 X 0.025=14500

Answer:

$230

Step-by-step explanation:

Answer:

$230

Step-by-step explanation:

Divide 60 by 12 and get 5.

Then multiply 5 × 46 and get $230 dollars.

The solution is, 0.75 can be written as fraction = 3/4.

A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.

here, we have,

A terminating decimal, such as 0.75, has an exact number of nonzero digits.

so, it can be written as fraction

0.75

=75/100

=3/4

Hence, The solution is, 0.75 can be written as fraction = 3/4.

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The equations of the composite functions are (h o h)(x) = (x² + 3)² + 3 and (f o f)(x) = x

From the question, we have the following equations that can be used in our computation:

h(x) = x² + 3

f(x) = 3/4x

From the above, we have

(h o h)(x) = h(h(x))

So, we have

(h o h)(x) = (x² + 3)² + 3

Also, we have

(f o f)(x) = 3/[4(3/4x)]

Evaluate

(f o f)(x) = x

Hence, the composite functions are (h o h)(x) = (x² + 3)² + 3 and (f o f)(x) = x

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Kinzang grew 0.96 meters.

We have,

To find how much Kinzang grew, we need to subtract his height at birth from his current height:

Height Kinzang grew = Current height - Height at birth

Height Kinzang grew = 1.49 m - 0.53 m = 0.96 m

Therefore,

Kinzang grew 0.96 meters.

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Answer:

the slope is 8

Step-by-step explanation:

the slope is x not sure if its parallel of perpendicular but is i had to gues id guess parallel

Answer:

the slope is 8

the parallel slope is 8

the perpendicular slope is -1/8

Answer: 1/4

Step-by-step explanation:

1/4 = 0.25

4/12 = 0.33

3/8 = 0.375

2/6 = 0.33