"

Suppose X is normally distributed with a mean of u = 11.5 and a standard deviation of o = 2. Find the probability of X > 15.14. Show your work.
"

Answer: (1,2)

Step-by-step explanation:

1)

x+y=3

y=-x+3

x | 0 | 3 |

y | 3 | 0 |

2)

3x+y=5

y=-3x+5

x | 0 | 2 |

y | 5 | -1 |

Answer:

27

Step-by-step explanation:

Answer:

ST=27   (Hope this helps)

Step-by-step explanation:

         RS+ST=100

           2x+7+x-6=100

             3x+1=100

               3x=99

                 x=33

         ST=33-6

           ST=27

Answer:

A. 0, 2/3

Step-by-step explanation:

The X axis will be 0 and the y axis will be less than 0 so the only answer that fits this description is C

The amount of money from his salary Andre spent on food will be £840.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

In November, Andre received a monthly salary of £2500. Of this, he spent 40% on his rent and £300 on leisure. Then the remaining amount is calculated as,

Remaining amount = £2,500 - 0.40 x £2,500 - £300

Remaining amount = £1,200

Let 'x' be the amount spent on household bills and 'y' be the amount spent on food. Then the equation is given as,

x + y = £1,200           ...1

x / y = 3 / 7               ...2

From equations 1 and 2, then we have

(3/7)y + y = £1,200

(10/7)y = £1,200

y = £840

The amount of money from his salary Andre spent on food will be £840.

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Answer:

\(\frac{5\pi }{3} = 0.5\)

Step-by-step explanation:

5π/3 radians = 5π/3 × (180°/π) = 300°

⇒ cos 5π/3 = cos 5π/3 = cos(300°) = 1/2 or 0.5

Answer:

10 yrs

Step-by-step explanation:

10 years is correct answer.

The distance covered by him in one hour is 4 miles.

What is distance and time?

Distance of a point from a line is the length of the shortest line segment from the point to the line. This will also be perpendicular to the line.

Time can be defined as an ongoing and continuous sequence of events that occur in succession, from past through the present, and to the future.

Given

a person walked 2/5 miles in each 1/10 hour

that is miles = 2/5 = 0.4 miles.

Now time is given as 1/10 hours,

one hour contains 60 minutes.

0.4 = 1/10(60)

0.4 miles = 6 minutes.

1 hour = 0.4 (60)/6

1 hour =  4 miles.

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Answer:

corresponding

Step-by-step explanation:

corresponding angles are equal

Answer:60m^2

Step-by-step explanation:you have to find the height of the triangle first which is easy bc it’s been split in half so the are now two right triangles. use the pythagorean theorem to determine the height, the height is 12, the formula for the area of a triangle is 1/2bxa and half of the base is already given to you, 5 so 5 x 12 equals 60

Answer:1.c 2.b 3.a

Step-by-step explanation:

Answer:

24.5 gallons of milk

Step-by-step explanation:

To calculate the total amount of milk needed daily, we need to find the total amount of milk consumed by all the students and convert it into gallons.

For grades 1 through 3, the total amount of milk consumed daily at lunch is:

12 fl. oz. x 212 students = 2,544 fl. oz.

For breakfast:

6 fl. oz. x 48 students = 288 fl. oz.

For kindergarten snack time:

8 fl. oz. x 38 students = 304 fl. oz.

Adding up all these amounts gives us the total amount of milk consumed daily:

2,544 fl. oz. + 288 fl. oz. + 304 fl. oz. = 3,136 fl. oz.

To convert this to gallons, we need to divide by 128 (the number of fluid ounces in a gallon):

3,136 fl. oz. ÷ 128 = 24.5 gallons (rounded to the nearest tenth)

Therefore, Chef needs approximately 24.5 gallons of milk daily to serve all the students.

Answer:actually i think what i wrote is wrong i confused it with something else, sorry

Answer:

give me the answer for this question

Answer:

(9a - 9) - (-9a + 2)

= 9a - 9 + 9a - 2

= 18a - 11

The area of ΔAFD is 42 squared unit.

The area of a triangle is the amount of space that the triangle would occupy on a 2 dimensional plane.

Area of a triangle = 1/2 x base x height

To solve the given problem, let the height be resented by x and the base be represented by y. So that applying the trigonometric function to determine the values, we have;

i. Sin θ = opposite/ hypotenuse

Sin 30 = x/ 14

x = 14 x Sin 30

     = 7

The height is 7 units.

ii. Cos θ = adjacent/ hypotenuse

   Cos 30 = y/ 14

  y = 14 x Cos 30

       = 12

The base is 12 units.

Therefore, the area of triangle AFD can be determined by;

Area of ΔAFD = 1/2 x 12 x 7

                       = 42

The area of ΔAFD is 42 squared unit.

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Explanation:

Refer to the diagram below. The angle theta is the angle of elevation formed between the horizontal line and the diagonal force being applied (the pulling force). Let x be the horizontal component pulling force, which is the horizontal portion of the right triangle. We know the hypotenuse of this triangle is 55 pounds as it is the force applied.

Use the cosine ratio to help solve for x. Make sure your calculator is in degree mode.

cos(angle) = adjacent/hypotenuse

cos(19) = x/55

x/55 = cos(19)

x = 55*cos(19)

x = 52.0035216579624 which is approximate

Roughly 52.0035216579624 pounds of force is being applied in a pure horizontal direction. The cart moves 30 feet, so,

work = (force)*(displacement)

work = (52.0035216579624)*(30)

work = 1560.10564973888

work = 1560.1 foot-pounds

A foot-pound is a unit of work, similar to how a joule is as well (though a joule measures in kilograms and meters)

Answer:

Step-by-step explanation:

Converting 0.632 to a fraction, Step-by-Step

Step 1:

The first step to converting 0.632 to a fraction is to re-write 0.632 in the form p/q where p and q are both positive integers. To start with, 0.632 can be written as simply 0.632/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 0.632, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 0.632/1 each by 10 to the power of that many digits. For instance, for 0.45, there are 2 fractional digits so we would multiply by 100; or for 0.324, since there are 3 fractional digits, we would multiply by 1000. So, in this case, we will multiply the numerator and denominator of 0.632/1 each by 1000:

\frac{0.632 × 1000}{1 × 1000} = \frac{632}{1000}

1×1000

0.632×1000

​

=

1000

632

​

Step 3:

Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out, which leads to the following answer:

\frac{632}{1000} = \frac{79}{125}

1000

632

​

=

125

79

​

The final answers are (0, 0, 0), 4x²y³ - 9y²z² + 2y⁵, and 6x²y - 6xyz - 2xz² + 4x²z + 2yz² - 2z³ respectively.

a) curl [grad (f²)]
First, calculate grad (f²).

grad (f²) = (2xy-2yz, 2xy-2xz, 2yz-2xz)

Now, calculate the curl of grad (f²).

curl of grad (f²) = (0, 0, 0)

The final answer is (0, 0, 0).

b) [(curl v) x w].w
First, calculate curl v.

curl v = (0, -4x-2y, -2z)

Now,

calculate [(curl v) x w].[(curl v) x w] = (2y(2z) - (4x+2y)(y²), -(4x+2y)(3z² - y²) - 2z(2y), (4x+2y)(y²) - 3z²(2y))

= (-4xy² + 2yz² + 4x²y - 2y³, -12x²z - 6yz² - 4xy² - 2z³ + 2y³, 8x²y - 6yz² - 6y²z)

cw = (3z²y², -2x²y² + y⁴, y⁴)

Then, calculate [(curl v) x w].w.[(curl v) x w].w

= (-12x²z - 6yz² - 4xy² - 2z³ + 2y³)(3z²y²) + (8x²y - 6yz² - 6y²z)(y⁴) + (-4xy² + 2yz² + 4x²y - 2y³)(y⁴)

The final answer is 4x²y³ - 9y²z² + 2y⁵.

c) [(grad f) x v].v
First, calculate grad f.

grad f = (y, x-z, -y)

Now, calculate

[(grad f) x v].[(grad f) x v] = (2z²y - 4y²x - 2yz², 4x³ - 8x²z - 2z³ + 2xy², 4xy² - 8xyz + 2xz² + 4y²z)

= (-2z(2xy-yz), 2x(2x²-2xz+z²-2y²), 2y(2x²-2yz+y²))

= (-2z(xy-yz), 2x(x²-xz+z²-y²), 2y(x²-yz+y²))

= (2yz-zxy, xz-x²+xy²-y², -xy+y²-yz)cv

= (3z², 2x²-y², y²)

Then, calculate

[(grad f) x v].v.[(grad f) x v].v = (2yz-zxy)(2y) + (xz-x²+xy²-y²)(2z) + (-xy+y²-yz)(4x+z)

The final answer is 6x²y - 6xyz - 2xz² + 4x²z + 2yz² - 2z³.

After performing the required calculations, we get the final answers as (0, 0, 0), 4x²y³ - 9y²z² + 2y⁵, and 6x²y - 6xyz - 2xz² + 4x²z + 2yz² - 2z³ respectively.

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$2.00 US Dollars is the answer

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

Explanation:

Water leaks out at a rate of 3 gallons for every 2 days. The unit rate is 3/2 = 1.5 gallons per day that's leaked out.

Let x be the number of days. After x days, the container leaks a total of 1.5x gallons of water. Set this equal to 75 and solve for x. We'll divide both sides by 1.5

1.5x = 75

x = 75/(1.5)

x = 50

It takes 50 days for the container to empty.

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

Here's another way to solve:

(3 gallons leaked)/(2 days) = (75 gallons leaked)/(x days)

3/2 = 75/x

3x = 2*75 .... cross multiply

3x = 150

x = 150/3

x = 50 days

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

Yet another way to solve:

3 gallons : 2 days

25*(3 gallons) : 25*(2 days) ..... multiply both parts by 25

75 gallons : 50 days

We multiplied by 25 to get that "3 gallons" to "75 gallons". You can use trial and error, or note that 75/3 = 25.

The inverse of a function may or may not be a function

The function g(x) is given as:

\(g(x) = 2(x - 1)^2 - 3\)

(a) Inverse function g^-1(x)

We have:

\(g(x) = 2(x - 1)^2 - 3\)

Replace g(x) with y

\(y = 2(x - 1)^2 - 3\)

Swap the positions of x and y

\(x = 2(y - 1)^2 - 3\)

Add 3 to both sides

\(x + 3 = 2(y - 1)^2\)

Divide both sides by 2

\(\frac{x + 3}2 = (y - 1)^2\)

Take square roots of both sides

\(\sqrt{\frac{x + 3}2} = y - 1\)

Add 1 to both sides

\(1 + \sqrt{\frac{x + 3}2} = y\)

Rewrite as:

\(y = 1 + \sqrt{\frac{x + 3}2}\)

Express as inverse function of g

\(g^{-1}(x) = 1 + \sqrt{\frac{x + 3}2}\)

Hence, the inverse function of g is \(g^{-1}(x) = 1 + \sqrt{\frac{x + 3}2}\)

(b) The domain, and the range of g(x) and g^-1(x)

Function g(x)

The function g(x) is a quadratic function.

So, the domain is:

The range is:

Function g^-1(x)

The function g^-1(x) is a square root function.

So, the domain is:

The range is:

The domain of g(x) is the range of g^-1(x), while the range of g(x) is the domain of g^-1(x).

(c) The graph

See attachment for the graph

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The equation Y=-2x is a linear equation, which can be plotted on a graph as a straight line.

The equation can be written in slope-intercept form as y=mx+b, where m is the slope and b is the y-intercept. In this case, the slope is m=-2 and the y-intercept is b=0. Therefore, the equation can be written as y=-2x+0.

The slope of the line is negative, meaning that as x increases, y decreases. The y-intercept is zero, which means that the line passes through the origin (0,0).

For example, if x = 2, then y = -2(2) + 0 = -4. Therefore, the point (2, -4) is on the line. Similarly, if x = 4, then y = -2(4) + 0 = -8, so the point (4, -8) is also on the line.

The graph of the equation y=-2x would thus be a line starting at the origin (0,0) with a negative slope. As x increases, y decreases, and the line never crosses the y-axis.

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As a rough estimate, 100g of sugar is equivalent to 0.5 cups of granulated sugar.

Conversion is the process of changing units of measurement from one system to another.

In this case, we need to convert 100g of sugar into cups. However, the conversion factor for sugar varies depending on factors such as the type of sugar and how densely it is packed. For instance, powdered sugar is denser than granulated sugar, and so the conversion factor will differ.

In general, one cup of granulated sugar weighs around 200g, which means that 100g of sugar is equivalent to 0.5 cups. However, it is essential to note that this conversion factor is approximate and can vary depending on the quality and type of sugar used.

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Complete Question:

how many cup sugar in 100g?

The simplest form of the given expression is 5x^3-5x^2.

We have given that

\(2x^3 - x^2 + 3 (x^3 - 4x^2)\)

We have to determine the simplest form of the given expression.

The distributive property of binary operations generalizes the distributive law, which asserts that equality is always true in algebra. elementary.

Use the distributive property we get,

\(2x^3 - x^2 + 3 (x^3 - 4x^2)\\=2x^3 - x^2 +3x^3-12x^2\\\)

Add like terms we get,

Therefore we get,

\(=5x^3-5x^2\)

Therefore the simplest form of the given expression is 5x^3-5x^2.

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Answer:

  ∠6, ∠10

Step-by-step explanation:

Apparently, we are to assume that the avenues are parallel.

The angles that form a linear pair with ∠8 will be supplementary: ∠6 and ∠7. The angles that correspond to those will also be supplementary to angle 8: ∠10 and ∠11.

Among the answer choices ∠3, ∠4, ∠6, ∠10, only ∠6 and ∠10 are equal to 180° -x.

_____

Additional comment

It appears we are to assume that 1st Ave is parallel to 2nd Ave. If that is the case, then we might also assume that D Street is perpendicular to those avenues. In that case, all of angles 5, 6, 7, 9, 10, 11, 12 are equal to 180° -x, because x and all of those are all 90°.

Here, we are required to determine the length of a line segment joining the two points.

The first point is plotted on the point, 2 2/5.

i.e on point 12/5.

The second point is at -4 3/4.

i.e on point (-19/4).

The length of a line segment joining these points is given by;

12/5 - (-19/4) which yields;

(48+95)/20 = 143/20

Ultimately, the length of the line segment is;

143/20

To express the answer as a simplified modes number is; 7 3/4.

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Answer:

w=4

Step-by-step explanation:

9w+4=2w+32

-2w     -2w

7w+4=32

     -4   -4

7w=28

w=4

Answer:

w = 4

Step-by-step explanation:

How to solve...

You have your equation 9w + 4 = 2w + 32, now you take 4 and subtract on both sides, so you will subtract it to 4 and 32. You get 28 as your answer. Now leave that alone, next you will take 2w and subtract it on both sides, when you subtract 2w to 9w you will get 7w. Now just do 28 divided by 7, which is 4. So w = 4. Hope this helps!

9w + 4 = 2w + 32

       - 4 =        -   4

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

     9w = 2w + 28

    -2w = -2w + 28

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

     7w = 28

     7w = 7w

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

       w = 4

The null hypothesis is H: p = 0.25 and the alternative hypothesis is H: p > 0.25.

Any variation between the selected attributes that you observe in a collection of data is thought to be the result of chance, according to the null hypothesis.

According to the facts provided, the allegation is that the card was recognized much more frequently than randomness would predict.

The proportion of card selected will be:

= 1/4

= 0.25

Therefore, the null hypothesis is H: p = 0.25 and the alternative hypothesis is H : p > 0.25.

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 300 people subscribe to the Sunday edition only.

Out of the 3000 subscribers surveyed, 2700 people subscribe to the daily morning edition. Among these 2700, 1500 people also subscribe to both the daily and Sunday editions. To determine the number of people who subscribe to the Sunday edition, we need to subtract the number of people who subscribe to both editions from the total number of daily subscribers.

Number of people who subscribe to the Sunday edition = Total number of daily subscribers - Number of people who subscribe to both editions

= 2700 - 1500

= 1200 people

Therefore, 1200 people subscribe to the Sunday edition.

To find the number of people who subscribe to the Sunday edition only, we subtract the number of people who subscribe to both editions from the total number of Sunday subscribers.

Number of people who subscribe to the Sunday edition only = Total number of Sunday subscribers - Number of people who subscribe to both editions

= 1500 - 1200

= 300 people

Therefore, 300 people subscribe to the Sunday edition only.

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