Giving a test to a group of students, the grades and gender are summarized below
A B C Total
Male. 9 4 10 23
Female 7 20 12 39
Total. 16 24 22 62

If one student is chosen at random,
Find the probability that the student did NOT get an "C"

Answer:

A = 19.47

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hypotenuse

sin A = 2/6

Take the inverse sin of each side

sin ^-1 ( sin A) = sin ^-1 (2/6)

A =19.47122063

To the nearest hundredth

A = 19.47

Esta pregunta esta incompleta

Pregunta completa

El señor Juan tiene una tienda de abarrotes y sus ventas son al mayoreo y al menudeo. La semana pasada recibió dos toneladas de azúcar en 40 sacos de 50 kg cada uno.

Con el azúcar de un saco empacó bolsas de 250 cada una.¿cuantas bolsas en paco​

Answer:

200 bolsas.

Step-by-step explanation:

Se nos dice en la pregunta,

La semana pasada recibió dos toneladas de azúcar en 40 bolsas de 50 kg cada una.

Esto significa

1 bolsa = 50 kg de azúcar.

1 kg = 1000 gramos

50 kg = 50 × 1000 gramos

= 50000 gramos

Por tanto, 1 bolsa contiene = 50000 gramos de azúcar.

A partir de la pregunta anterior, se nos pregunta cuántas bolsas de azúcar obtendría si cada bolsa contuviera 250 gramos.

Por lo tanto:

50000/250 gramos

= 200 bolsas.

Por lo tanto, obtendría 200 bolsas.

Answer:

1500

Step-by-step explanation:

Number of boxes = 12

Number of pencils in each box = 125

Total number of pencils

= 12 × 125

= 1500 pencils

Answer:

y+3x+11=0

Step-by-step explanation:

m=-3, x1=-4, y1=1

from m=y-y1/x-x1

-3=y-1/x-(-4)

-3(x+4)=y-1

-3x-12+1=y

y=-3x-11

y+3x+11=0

cheach each option

first option right

second option wrong

third option is wrong

fourth option is right

fifth option is wrong

Answer:

5x

Step-by-step explanation:

Let's assume that the number of plants with 5 leaves is x, and the number of plants with 2 leaves and 1 flower is y. Then, we can write two equations based on the information given:

x + y = 6 (total number of flowers)

5x + 2y = 32 (total number of leaves)

To solve for x and y, we can use the substitution or elimination method. Let's use the substitution method here.

From the first equation, we get:

y = 6 - x

Substituting this into the second equation, we get:

5x + 2(6 - x) = 32

5x + 12 - 2x = 32

3x = 20

x = 20/3

This means there are approximately 6.67 plants with 5 leaves. To find the number of plants with 2 leaves and 1 flower, we can substitute x back into the first equation:

6.67 + y = 6

y = 6 - 6.67

y = -0.67

This doesn't make sense since we can't have a negative number of plants. Therefore, we made a mistake somewhere. Let's check our equations again.

x + y = 6 (total number of flowers)

5x + 2y = 32 (total number of leaves)

We notice that the second equation should be:

2x + y = 32 (total number of leaves)

Let's use this equation instead:

x + y = 6 (total number of flowers)

2x + y = 32 (total number of leaves)

From the first equation, we get:

y = 6 - x

Substituting this into the second equation, we get:

2x + 6 - x = 32

x = 26

This means there are 26 plants with 5 leaves. To find the number of plants with 2 leaves and 1 flower, we can substitute x back into the first equation:

26 + y = 6

y = 6 - 26

y = -20

Again, this doesn't make sense. We made another mistake somewhere. Let's check our equations again.

x + y = 6 (total number of flowers)

2x + y = 32 (total number of leaves)

We notice that the first equation should be:

2x + y = 6 (total number of flowers)

Let's use these corrected equations:

2x + y = 6 (total number of flowers)

2x + 3y = 32 (total number of leaves)

From the first equation, we get:

y = 6 - 2x

Substituting this into the second equation, we get:

2x + 3(6 - 2x) = 32

2x + 18 - 6x = 32

-4x = 14

x = -14/4

Once again, we get a negative number of plants, which doesn't make sense. Let's check our equations again.

2x + y = 6 (total number of flowers)

2x + 3y = 32 (total number of leaves)

We notice that the first equation should be:

x + y = 6 (total number of flowers)

Let's use these corrected equations:

x + y = 6 (total number of flowers)

5x + 2y = 32 (total number of leaves)

From the first equation, we get:

y = 6 - x

Substituting this into the second equation, we get:

5x

Answer:

169

Step-by-step explanation:

Larger Number = 196

Smaller Number = 169

Step-by-step explanation:

larger sum = 196/

smaller sum = 169/

hope it helps. :)

9514 1404 393

Answer:

  B.  3

Step-by-step explanation:

If all you want is a numerical result, sometimes a graphing calculator can provide that easily. The attachment shows it calculates the slope at x=4 to be 3.

  dy/dx = 3 at x = 4

__

The derivative of the expression can be found from the quotient formula:

  d(u/v) = (du·v -u·dv)/v²

  y' = ((x -2)(2x -7) -(x^2 -7x +2)(1))/(x -2)^2

  = (2x^2 -11x +14 -x^2 +7x -2)/(x -2)^2

  = (x^2 -4x +12)/(x -2)^2

  = ((x -4)x +12)/(x -2)^2

Then for x=4, we have ...

  y' = 12/4 = 3

  dy/dx = 3 at x = 4

Answer:

The answer is B:3

Step-by-step explanation:

I saw this in class

The domain of the question is expressed as; 0 ≤ x ≤ 4

The range of the question is expressed as; 100 ≤ f(x) ≤ 207.36

The domain of a graph is defined as the set of all possible input values that makes the function possible while the range is defined as the set of all possible output values that can result from the possible input values.

Now, we are told that the insect population increases by 20% each month from May 1 to September 1.

The function that represents the insect population after x months is;

f(x) = 100(1.2)ˣ

Thus, the domain is from x = 0 to 4 months inclusive. 0 ≤ x ≤ 4

f(0) = 100(1.2)⁰

f(0) = 100

f(4) = 100(1.2)⁴

f(4) = 207.36

100 ≤ f(x) ≤ 207.36

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Answer:

31

Step-by-step explanation:

Let x and (x + 1) be the page numbers Josiah can see

Hint 1: x(x + 1) = 930

⇒ x² + x = 930

⇒ x² + x - 930 = 0

Using quadratic formula,

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

a = 1, b = 1 and c = -930

\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)

\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)

Sice x is a page number, it cannot be negative

⇒ x = 30 and

x + 1 = 31

The two pages Josiah can see are pg.30 and pg.31

Hint 2: The page he is reading is an odd number

Out of the pages 30 and 31, 31 is an odd number

Thereofre, Josiah is reading page 31

Step-by-step explanation:

4) x=(z-y)/2

8) b=(d)/ac

9) x=(-z+4)/y

10) a=(c-3)b

Answer:

corresponding

Step-by-step explanation:

<1 and <5 are corresponding angles because they are on the same side of the transversal and on the same side of l and m

The time that it will take Antonio to ride from school to the mall if he rides by DJ's house will be 13 minutes.

It should be noted that Antonio can ride from his

house to school in 5 minutes, from school to DJ's

house in 7 minutes, from DJ's house to the mall in

6 minutes, and from the mall to his house in

3 minutes.

Therefore, the time that it will take Antonio to ride from school to the mall if he rides by DJ's house will be:

= School to DJ + DJ to the mall

= 7 minutes + 6 minutes

= 13 minutes

Therefore, the time that it will take Antonio to ride from school to the mall if he rides by DJ's house will be 13 minutes.

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Answer:

\(2.82842712475\)

is the square root of 8.

Answer:

a² - 7a + 10

Step-by-step explanation:

Substitute all x variables for (2 - a) and evaluate.

\((2-a)^2+3(2-a)\\\\(2-a)(2-a)+3(2-a)\\\\4-2a-2a+a^2+6-3a\\\\a^2-7a+10\)

\(option \: (b)\)

Step-by-step explanation:-

\(f(x) = {x}^{2} + 3x\)

\(put \: x = (2 - a)\)

\(f(x) = {(2 - a)}^{2} + 3(2 - a)\)

Apply (a-b)² formula for (2-a)².

\( {(a - b)}^{2} = {a}^{2} + {b}^{2} - 2ab \)

\(f(x) = {2}^{2} + {a}^{2} - 2(2a) + 3(2 - a)\)

\(f(x) = 4 + {a}^{2} - 4a + 6 - 3a\)

\(f(x) = 4 + {a}^{2} - 7a + 6\)

\(f(x) = {a}^{2} - 7a + 6 + 4\)

\(f(x) = {a}^{2} - 7a + 10.\)

Hence, option (b) is correct.

Answer:

The area of this triangle is (1/2)(9)(8) = 36.

Answer:

50

Step-by-step explanation:

Cynthia can install 50  shingles in an hour.

Two or more expressions with an Equal sign is called as Equation.

Given that Dominic can install 180 shingles in the same time it takes Cynthia to install 150 shingles.

180=150c is the relationship where d and c are the respective rates for Dominic and Cynthia.

Dominic can install 10 shingles more per hour than Cynthia.

D=C+10

and 180/d=150/c

180/c+10=150/c

Apply cross multiplication

180c=150(c+10)

180c=150c+1500

Subtract 150c from both sides

30c=1500

Divide both sides by 30

c=1500/30

c=50

Hence,  Cynthia can install 50  shingles in an hour.

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Answer:

(-1,4)

Step-by-step explanation:

Divide each imput by 4

The required image of the given point (-4, 12) dilation by a scale factor of 1/4 and centered at the origin is (1, -3).

Given that,
To determine the image of  (-4,12) after dilation by a scale factor of 1/4 centered at the origin.

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Coordinate, is represented as the values on the x-axis and y-axis of the graph

Here,
For the point, we have a dilation factor of 1/4,
So dilated coordinate,
= (1/4 * - 4 ,   1/4 * 12)
= (-1 , 3)
To form the image across the origin
= - (-1, 3)
= (1, -3)

Thus, the required image of the given point (-4, 12) with a scale factor of 1/4 and centered at the origin is (1, -3).

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Answer:

Step-by-step explanation:

Answer:

A  please give me brainlest im sorry if its wrong i tried

Step-by-step explanation:

Answer:

the answer is D

Step-by-step explanation:

Just trust me

Answer:

78

Step-by-step explanation:

you know how

Answer:(-3,1)

Step-by-step explanation:

Answer:

D. (-3,1)

Step-by-step explanation:

divide.

-25/176 is -.142

Answer:

you divide -25 by 176

-25 on the inside of the "dog house" and 176 on the outside because if you did it the other way it would be a whole number.

It would equal -0.14204545454

I hope this is good enough for you:

The value of x in the equation 3/5(4x+1)=3(2-4x)+9 is

Algebraic equation, statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations, namely, addition, subtraction, multiplication, division, raising to a power, and extraction of a root. Examples are x3 + 1 and (y4x2 + 2xy – y)/(x – 1) = 12.

3/5(4x+1)=3(2-4x)+9

multiply through by 5

3( 4x+1) = 15(2-4x) + 45

12x +3 = 30-20x +45

collect like terms

12x+20x.= 30+45-3

32x = 72

x = 72/32

x = 2 8/32

x = 2 1/4

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Answer:

Step-by-step explanation:

3x = 90 + 46 - 14

3x = 122

x=\(\frac{122}{3}\)≈40,7

Answer: 40.6 repeated

Step-by-step explanation: combine -46 and 14 which is -32. then add 32 to 90. then divide 3 on both sides. 122/3 is 40.6 repeated

The area of the Region bounded by y = √x, y = 2-x², and y = -√2x is $\frac{32}{15}$.

To find the area of the region bounded by y = √x, y = 2-x², and y = -√2x, we need to graph the equations and determine the points of intersection. Then we can integrate to find the area.

Firstly, we'll graph the equations and find the points of intersection:

y = √xy = 2-x²y = -√2xGraph of y = √x, y = 2-x², and y = -√2xWe need to solve for the points of intersection, so we'll set the equations equal to each other and solve for x:√x = 2-x²√x + x² - 2 = 0Let's substitute u = x² + 1:√x + u - 3 = 0√x = 3 - u

(Note: Since we squared both sides, we have to check if the solution is valid.)u = -2x²u + x² + 1 = 0 (substituting back in for u

)Factoring gives us:u = (1, -2)We can then solve for x and y:x = ±1, y = 1y = 2 - 1 = 1, x = 0y = -√2x = -√2, x = 2y = 0, x = 0Graph of y = √x, y = 2-x², and y = -√2x with points of intersection to find the area, we need to integrate.

The area is bounded by the x-values -1 to 2, so we'll integrate with respect to x:$$\int_{-1}^0 (2 - x^2) - \sqrt{x} \ dx + \int_0^1 \sqrt{x} - \sqrt{2x} \ dx$$

We can then simplify and integrate:$$\left[\frac{2x^3}{3} - \frac{2x^{5/2}}{5/2} + \frac{4}{3}x^{3/2}\right]_{-1}^0 + \left[\frac{2x^{3/2}}{3} - \frac{4x^{3/2}}{3}\right]_0^1$$$$= \frac{4}{3} + \frac{4}{3} - \frac{4}{15} + \frac{4}{3} - \frac{4}{3}$$$$= \frac{32}{15}$$

Therefore, the area of the region bounded by y = √x, y = 2-x², and y = -√2x is $\frac{32}{15}$.

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