Marianne had 128 brood cows. She lost 2 cows and calves during calving and 3 calves were born dead. She had 4 cows that did not calve.a. What percent of the cows was lost? Express your answer to the nearest tenth of a percent.b. How many calves does she have?c. What percent of the cows have a calf at their side? Express your answer to the nearest tenth of a percent.

Probability of choosing a math book is 3/5

Probability of choosing an English book is 2/5

Probability of choosing either a math or an English book is 1.

To find the probabilities, we need to determine the total number of possible outcomes and the number of favorable outcomes for each scenario.

Probability of choosing a math book:

Out of the total collection of 6 math books and 4 English books, the number of math books is 6. The total number of books in the collection is 10. Therefore, the probability of choosing a math book is given by:

Probability of choosing a math book = Number of math books / Total number of books

= 6 / 10

= 3/5

Probability of choosing an English book:

Out of the total collection of 6 math books and 4 English books, the number of English books is 4. The total number of books in the collection is still 10. Therefore, the probability of choosing an English book is given by:

Probability of choosing an English book = Number of English books / Total number of books

= 4 / 10

= 2/5

Probability of choosing either a math or an English book:

To find this probability, we add the probabilities of choosing a math book and choosing an English book since these two events are mutually exclusive (a book cannot be both a math book and an English book). Therefore:

Probability of choosing either a math or an English book = Probability of choosing a math book + Probability of choosing an English book

= 3/5 + 2/5

= 5/5

= 1

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Answer:

V = 192π cm³ ≈ 603 cm³

Step-by-step explanation:

V = πR²h

V = π(8/2)²(12)

V = 192π cm³ ≈ 603 cm³

J = 3   Hooray, but why?

Answer:

Step-by-step explanation:

Radius r = 4 cm

Height h = 12 cm

Volume = πr²h = 192π cm³ ≈ 576 cm³

The correct value of Jessica's new net salary will be $225.

To calculate Jessica's new net salary after a 5% raise, we need to first determine Sarah's gross salary. We know that Sarah's net salary is $212.50, and 15% of her gross salary is withheld each week.

Let's denote Sarah's gross salary as "G." We can set up the following equation:

G - 15% of G = $212.50

Simplifying the equation, we have:

G - 0.15G = $212.50

0.85G = $212.50

G = $212.50 / 0.85

G ≈ $250

Sarah's gross salary is approximately $250.

Now, to find Jessica's new net salary after a 5% raise, we can calculate 5% of Sarah's gross salary and subtract the withheld amount:

Jessica's net salary = Sarah's gross salary + 5% of Sarah's gross salary - 15% of Sarah's gross salary

Jessica's net salary = $250 + 0.05 * $250 - 0.15 * $250

Jessica's net salary = $250 + $12.50 - $37.50

Jessica's net salary = $225

Therefore, Jessica's new net salary will be $225.

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The GCD of 5! and 7! is 2^3 * 3^1 * 5^1 = 120.

the greatest common divisor of 5! and 7! is 120.

To find the greatest common divisor (GCD) of 5! and 7!, we need to factorize both numbers and identify the common factors.

First, let's calculate the values of 5! and 7!:

5! = 5 * 4 * 3 * 2 * 1 = 120

7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 = 5,040

Now, let's factorize both numbers:

Factorizing 120:

120 = 2^3 * 3 * 5

Factorizing 5,040:

5,040 = 2^4 * 3^2 * 5 * 7

To find the GCD, we need to consider the common factors raised to the lowest power. In this case, the common factors are 2, 3, and 5. The lowest power for 2 is 3 (from 120), the lowest power for 3 is 1 (from 120), and the lowest power for 5 is 1 (from both numbers).

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The length of the diagonal AG = 7.56 cm.

A cuboid is a three-dimensional shape that is bounded by six rectangular faces. It is also known as a rectangular prism. A cuboid has six faces, twelve edges, and eight vertices.  

To find the Length of the side AG, find the length of AC by using the Pythagorean formula. Now using the trigonometric ratios formulas find the length of AG.

Here we have a cuboid

Where

AD = 23 cm

DC = 18 cm

∠GAC = 75°  

From the right angle triangle, ADC

=> AC² = AD² + DC²    [ Using the Pythagorean formula ]

=> AC² = (23)² + (18)²

=> AC² = 529 + 324

=> AC = √853 = 29.20    

From the right angle triangle, AGC

=> Cos B = AC/AG

=> Cos 75° = 29.20/AG

=> AG = Cos 75° (29.20)

=> AG = (0.26)(29.20)

=> AG = 7.56

Therefore

The length of the diagonal AG = 7.56 cm.

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Answer: See step by step

Step-by-step explanation: Angle 2 and 3 are vertical angles since they both share a vertex and has cross intersecting lines. Angle  6 and 7 are supplementary angles because they forma linear pair.

Answer:

I have multiple answers for this.

Verticle Angles: 2 &4, 3&1, 6&8, 7&5

Supplementary Angles: 2&1, 2&3, 3&4, 1&4, 6&7, 7&8, 6&5, 5&8

Step-by-step explanation:

Verticle angles are aross from one another, not next to each other, while the Supplementary angles ARE next to each other and not across from one another. I hope this helps you :)

Answer: p= -3

p=-5/2=-2.500

Step-by-step explanation:

plss be brianleist

Answer:

\(\sf A) \ (-4, \ 0) \ and \ \ [\dfrac{5}{2} , \ 0]\)

Explanation:

Given function: f(x) = -2x² - 3x + 20

To find the x-intercepts of a function, f(x) = 0

=================

-2x² - 3x + 20 = f(x)

-2x² - 3x + 20 = 0

-2x² - 8x + 5x + 20 = 0

-2x(x + 4) + 5(x + 4) = 0

(-2x + 5) (x + 4) = 0

-2x + 5 = 0, x + 4 = 0

-2x = -5, x = -4

x = -5/-2,x = -4

x = 5/2, x= -4

Coordinates: (-4, 0), (5/2, 0)

Answer:

a)9. b) 12

Step-by-step explanation:

a) | -6 -3 | .

-6-3 = -9

|-9| =9

b) | 0 - 12 |.

0-12=-12

|-12|=12

The length of the two segments, written as radicals, are:

AB = √117

PQ = √244

Remember that for a segment whose endpoints are (x₁, y₁) and (x₂, y₂), the length of the segment is:

L = √( (x₂ - x₁)² + (y₂ - y₁)²)

First, for the segment AB the endpoints are:

A = (-4,  -4)

B = (2, 5)

Then the length is:

L =  √( (-4 - 2)² + (-4 - 5)²)

L = √117

For the segment PQ the endpoints are:

P = (-6, 8)

Q = (6, -2)

The length is:

L =  √( (-6 - 6)² + (8 + 2)²)

L = √244

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The original price of the play station is $620.

Given that, the cost of the play station=$558 and discount=10%.

We need to find the original price of the play station.

The definition of discount is reduced prices or something being sold at a price lower than that item is normally sold for.

Let the original price be x.

Now, x-10% of x=558

⇒x-0.1x=558

⇒0.9x=558

⇒x=$620

Therefore, the original price of the play station is $620.

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By applying the rule of sin, it can be concluded that the length of the sides of the triangle is 15.48 cm, 39.68 cm, and 44.84 cm.

Triangle is a 2D shape that is bounded by three sides and has three vertices. The perimeter of a triangle is the sum of the lengths of the three sides of the triangle.

Perimeter = a + b + c, where a, b, and c are the sides of the triangle

One of the most important properties of a triangle is that the sum of the angles in a triangle equals 180°.

The rule of sin describes the ratio of the angles corresponding to the side lengths of the sine function.

a / sin A = b / sin B = c / sin C, where A, B, and C are the angles of the triangle

If the ratio of the angles is 1 : 3 : 5 and let x be the smallest angle, then we can put this information into the following equation:

Total angle = A + B + C

           180° = x + 3x + 5x

           180° = 9x

                x = 20°

Then we can calculate the other angles:

A = 20°

B = 3x = 3 * 20° = 60°

C = 5x = 5 * 20° = 100°

Now we put the value of A, B, and C into the rule of sin equation:

  a / sin A = b / sin B

a / sin 20° = b / sin 60°

   a / 0.34 = b / 0.87

              a = 0.34 * b / 0.87

              a = 0.39b

    c / sin C = b / sin B

c / sin 100° = b / sin 60°

    c / 0.98 = b / 0.87

               c = 0.98 * b / 0.87

               c = 1.13b

Then we go back to the perimeter formula:

perimeter = a + b + c

          100 = 0.39b + b + 1.13b

          100 = 2.52b

              b = 39.68 cm

Then we can calculate the length of the other sides, a and c:

a = 0.39b

  = 0.39 * 39.68

  = 15.48 cm

c = 1.13b

  = 1.13 * 39.68

  = 44.84 cm

Thus, the length of the sides of the triangle is 15.48 cm, 39.68 cm, and 44.84 cm.

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Answer:

A

Step-by-step explanation:

please say thank you and rate 5 stars and verify

Answer:

B. cos(ln(2x))/x

Step-by-step explanation:

We know that the inverse of sin is cosine. Note, arcsin means the same thing as inverse sin:

              Because sin (a) = sin (b) --> a = arcsin (b)

              Subsitute y = x

Answer:7  jogadore participaram do jogo

Answer:

The value of x is 19.

Step-by-step explanation:

Given:

m∠1 = (4x + 9)°

m∠2 = (x - 14)°

Since m∠1 and m∠2 are complementary angles, we have:

m∠1 + m∠2 = 90°

Substituting the given expressions for m∠1 and m∠2:

(4x + 9)° + (x - 14)° = 90°

Combining like terms:

4x + 9 + x - 14 = 90

Combining the x terms and the constant terms:

5x - 5 = 90

Adding 5 to both sides:

5x = 90 + 5

Simplifying:

5x = 95

Dividing both sides by 5:

x = 95 / 5

Simplifying further:

x = 19

Answer:

The correct answer is D

Step-by-step explanation:

In a function, none of the x values in the set can be repeating. D is the only option that meets this requirement.

the answer is 393

trust me

Answer:

The answer is correct: radians -1.7pi is -306 °

Answer:

\(\boxed {\boxed {\sf ( - \frac{9}{2}, -1) \ or \ (-4.5, -1) }}\)

Step-by-step explanation:

We are asked to find the midpoint of a line segment. When you find the midpoint, you essentially find the average of the x-coordinates and the y-coordinates. The midpoint formula is:

\((\frac {x_2+x_1)}{2}, \frac{y_2+y_1}{2})\)

In this formula, (x₁, y₁) and (x₂, y₂) are the endpoints of the line segment. we are given the endpoints R (-6, 1) and S (-3, -3). If we match the value and the corresponding variable we see that:

Substitute the values into the formula.

\(( \frac{-3 + -6}{2} , \frac{ 1+ -3}{2} )\)

Solve the numerators.

\((\frac {-9}{2}, \frac {-2}{2})\)

Divide.

\(( - \frac {9}{2}, -1})\)

The fraction can also be written as a decimal.

\((-4.5 , -1)\)

The midpoint of the line segment RS is (-9/2, -1) or (-4.5, -1).

Answer:

A, B, E, F

Step-by-step explanation:

24>12, 24>15, 24>13, 24>18, 24<42, 24<41

Answer:

Area = 80 yd²

Step-by-step explanation:

=> First make a common base:

Common base = (Base 1 + Base 2) / 2

Common base = (14 + 18) / 2

Common base = 32 / 2

Common base = 16

=> Now multiply the common base by the height to find the area:

Area of the figure = Common Base * Height of the figure

A = 16 * 5

A = 80

Hope this helps!

Answer:

\(y=6(x-8)-2\qquad\text{point-slope form}\)

\(y=6x-50\qquad\text{slope-intercept form}\)

Step-by-step explanation:

The equation of a line can be written in several forms. Two of the most-used forms are the point-slope and the slope-intercept forms.

The point-slope form requires to have one point (xo, yo) through which the line passes and the slope m. The equation expressed in this form is:

\(y=m(x-xo)+yo\)

The slope-intercept form requires to have the slope m and the y-intercept b, or the y-coordinate of the point where the line crosses the y-axis. The equation is:

\(y=mx+b\)

The line considered in the question has a slope m=6 and passes through the point (8,-2). These data is enough to find the point-slope form of the line:

\(\boxed{y=6(x-8)-2\qquad\text{point-slope form}}\)

To find the slope-intercept form, we operate the above equation:

\(y=6x-48-2\)

\(\boxed{y=6x-50\qquad\text{slope-intercept form}}\)

Answer:

39.17% probability that a woman in her 60s who has a positive test actually has breast cancer

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

\(P(B|A) = \frac{P(B)*P(A|B)}{P(A)}\)

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Positive test.

Event B: Having breast cancer.

3.65% of women in their 60s get breast cancer

This means that \(P(B) = 0.0365\)

A mammogram can typically identify correctly 85% of cancer cases

This means that \(P(A|B) = 0.85\)

Probability of a positive test.

85% of 3.65% and 100-95 = 5% of 100-3.65 = 96.35%. So

\(P(A) = 0.85*0.0365 + 0.05*0.9635 = 0.0792\)

What is the probability that a woman in her 60s who has a positive test actually has breast cancer?

\(P(B|A) = \frac{0.0365*0.85}{0.0792} = 0.3917\)

39.17% probability that a woman in her 60s who has a positive test actually has breast cancer

Answer:

speed I'm pretty sure sorry if its wrong

Answer:

Force

Step-by-step explanation:

Newton's second law of motion is F = ma, or force is equal to mass times acceleration.

The given diagram implies that the triangle $ABC$ is an isosceles triangle with angles of $24^\circ$. This can be verified by computing the length of the hypotenuse and using the Pythagorean Theorem.

Equation is a mathematical expression that consists of variables, symbols, and numbers, and shows the relationship between different quantities. An equation can involve one or more unknowns, and can be represented as an equality or as an inequality. Solving an equation requires understanding the relationship between the different elements in the equation, and manipulating the equation to isolate the unknowns. Common types of equations include linear equations, quadratic equations, and polynomial equations.

From this diagram, we can conclude that $\angle ABC$ is an isosceles triangle. This is because the angles opposite equal sides of a triangle must be equal. Since $\angle BAC=24^\circ$, $\angle ABC$ must be $24^\circ$. Furthermore, the sides $AB$ and $AC$ are equal, so $ABC$ is an isosceles triangle.

This conclusion can be verified by using the Pythagorean Theorem. If $AB=AC$, then it follows that $BC = \sqrt{AB^2 + AC^2} = \sqrt{2AB^2}$. Since $AB=3$, it follows that $BC=\sqrt{2*3^2}=6$. Therefore, the triangle $ABC$ is a right triangle with legs of length 3 and hypotenuse of length 6. Since $\angle BAC = 24^\circ$, it follows that $\angle ABC = 24^\circ$, verifying that the triangle is isosceles.

In conclusion, the given diagram implies that the triangle $ABC$ is an isosceles triangle with angles of $24^\circ$. This can be verified by computing the length of the hypotenuse and using the Pythagorean Theorem.

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Answer:

78

Step-by-step explanation:

Answer:

\(f(x)=-log_{3}(-x)\)

Step-by-step explanation:

Based on the points given on the graph, I would say this is a Log function, reflected across both x- and y-axes.

And given the point (-3, -1), it must be \(-log_{3}(-x)\)

Answer:

z > -4/5

Step-by-step explanation:

-9 - (2z - 7) > -2z - 6 - 5z

Get rid of the parenthesis

-9 - 2z + 7 > -2z - 6 - 5z

Combine like terms:

       -2 - 2z > -7z - 6

       +2       >       +2

Add 2 to both sides.

 -2z > -7z - 4

 +7z > +7z

Add 7 to both sides.

5z > -4

Divide both sides by 5 to get z.

z > -4/5

---------------------------------

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Answer:

A

Step-by-step explanation:

Since cosine is positive and sine is negative that puts θ in Quad IV.

From right triangles we know:

Cos θ = adjacent/hypotenuse = 5/13

sin θ = opposite/hypotenuse = ?/13

To find the opposite side across from θ use the pythagorean theorem.

5² + y² = 13²

25 + y² = 169

y² = 144

y = 12

we are given  that sin is < 0 so sinθ = -12/13

Answer:

A

Step-by-step explanation:

\(\cos(\theta)=\dfrac{\textsf{adjacent side}}{\textsf{hypotenuse}}=\dfrac{5}{13}\)

\(\textsf{As }\cos(\theta) > 0 \textsf{ the angle is in quadrant I or IV}\)

Using Pythagoras' Theorem a² + b² = c² to find the side opposite the angle:

⇒ 5² + b² = 13²

⇒ b² = 144

⇒ b = 12

⇒ opposite side = 12

\(\implies \sin(\theta)=\dfrac{\textsf{opposite side}}{\textsf{hypotenuse}}=\dfrac{12}{13}\)

\(\textsf{As }\sin(\theta) < 0 \textsf{ then }\sin(\theta)=-\dfrac{12}{13} \textsf{ and the angle is in either quadrant III or quadrant IV}\)

Therefore, the common quadrant is quadrant IV and

\(\sin(\theta)=-\dfrac{12}{13}\)