johanna prepares a mixture of salad mixed with mayonnaise carrots cucumber lettuce and cheese. what type of mixture divine salad is? why do you think so?​

Answer:

0.0001

Step-by-step explanation:

The computation of the probability of experiencing such a drop in water pressure is shown below:

Given that

mean = 519,645 gallons

Standard deviation = 71,564 gallons

Now the probability is

= 1 - p (x - mean ÷ standard deviation <  782,238 - 519,645 ÷ 71,564)

= 1 - p(z<3.67)

= 1 - 0.9999

= 0.0001

Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$. Therefore $x=y=12\sqrt{3}$, which is our answer

In a 30-60-90 triangle, the sides have the ratio of $1: \sqrt{3}: 2$. Let's apply this to solve for the variables in the given problem.

Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form. x=y=Let's first find the ratio of the sides in a 30-60-90 triangle.

Since the hypotenuse is always twice as long as the shorter leg, we can let $x$ be the shorter leg and $2x$ be the hypotenuse.

Thus, we have: Shorter leg: $x$Opposite the $60^{\circ}$ angle: $x\sqrt{3}$ Hypotenuse: $2x$

Now, let's apply this ratio to solve for the variables in the given problem. We know that $x = y$ since they are equal in the problem.

Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$

Therefore, $x=y=12\sqrt{3}$, which is our answer.

For more such questions on ratio of the sides

https://brainly.com/question/31529028

#SPJ8

Answer:

-5 * ln 0.5 or around 3.466

Step-by-step explanation:

first divide both sides by 2800 to get 0.5=\(e^{-0.2x}\). next put this in natural log: ln 0.5 = -0.2x divide both sides by -0.2 to get x = -5ln 0.5

Answer: The answer is -4. Hope this helps!

Using the normal distribution, it is found that the two readings that are cutoff values separating the rejected thermometers from the others are -1.96ºC and 1.96ºC.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation are given, respectively, by:

\(\mu = 0, \sigma = 1\).

The z-score that cuts off the bottom and top 2.5% of the distribution is \(z = \pm 1.96\), hence:

\(Z = \frac{X - \mu}{\sigma}\)

\(-1.96 = \frac{X - 0}{1}\)

X = -1.96

\(Z = \frac{X - \mu}{\sigma}\)

\(1.96 = \frac{X - 0}{1}\)

X = 1.96

The two readings that are cutoff values separating the rejected thermometers from the others are -1.96ºC and 1.96ºC.

More can be learned about the normal distribution at https://brainly.com/question/27879230

#SPJ1

Answer:

60

Step-by-step explanation:

m∠1=(55+65)/2=60

The measure of side length EF in the right triangle is 24.

The Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

It is expressed as;

c²  = a² + b²

From the diagram:

Hypotenuse DE = c = 26

Leg DF = a = 10

Leg EF = b = ?

Plug in the values and solve for b:

c²  = a² + b²

26²  = 10² + b²

676  = 100 + b²

b² = 676  - 100

b² = 576

b = +√576 ( we take the positive value since we are dealing with dimensions)

b = 24

Therefore, the length EF is 24.

Option C)24 is the correct answer.

Learn more about Pythagorean theorem here: brainly.com/question/343682

#SPJ1

Their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.

To determine the day of the week on which Kai and Finley's exam was scheduled, we need to consider the information provided about the trail being closed on Mondays, Wednesdays, and weekends.

If they had planned to hike to the log cabin for two days after the exams, and the trail is closed on weekends, it means they cannot start hiking on Saturday or Sunday.

Since they cannot start hiking on Saturday or Sunday, the two possible options for the exam day would be Monday or Wednesday, as they have not specified whether the hike starts immediately after the exams or the day after.

However, we can conclude that their exam was not scheduled on Monday, as the trail is closed on Mondays, and they had planned to hike immediately after the exams.

Therefore, their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.

Learn more about word problems at https://brainly.com/question/21405634

#SPJ1

Answer:

a

Step-by-step explanation:

Answer:

54 girls

Step-by-step explanation:

Answer: To calculate the average cost per widget, we need to consider both the fixed costs and the variable costs.

Fixed costs: $34,000

Variable costs per widget: $5.00

Total costs = Fixed costs + (Variable costs per widget × Number of widgets)

Total costs = $34,000 + ($5.00 × 7,000)

Total costs = $34,000 + $35,000

Total costs = $69,000

Average cost per widget = Total costs / Number of widgets

Average cost per widget = $69,000 / 7,000

Average cost per widget ≈ $9.86

Therefore, the average cost per widget of producing 7,000 Wild Widgets is approximately $9.86.

Step-by-step explanation: :)

Answer:

\(-6\leq x\leq 16\)

Step-by-step explanation:

So we have the inequality:

\(|x-5|\leq 11\)

Definition of Absolute Value:

\(x-5\leq 11\text{ or } x-5\geq -11\)

Note that the sign is flipped in the second case because we multiplied by a negative.

Add 5 to both sides to both equations:

\(x\leq 16\text{ or } x\geq -6\)

Merge:

\(-6\leq x\leq 16\)

And we're done!

The area of the triangle, when a = 2 and c = 3, is 1512 square centimeters.

We must apply the formula for the area of a triangle, which is provided by: to determine the triangle's area.

(1/2) * Base * Height = Area

We can enter the values of a = 2 and c = 3 into the formula given that the base length is 3ac2 and the height is 2 centimetres greater than the base length.

Base length =\(3ac^2 = 3 * 2 * (3^2) = 3 * 2 * 9 = 54\) centimeters

Height is calculated as Base Length + 2 (54 + 2 = 56 centimetres).

Using these values as a substitute in the formula, we obtain:

Area =\((1/2) * 54 * 56 = 1512\) square centimeters

centimetres square

It's crucial to understand that the calculation assumes the triangle is a right triangle with the specified base and height and that the given values of a and c are accurately used in the formula.

for more such questions on triangle

https://brainly.com/question/25215131

#SPJ8

It will take 3.5 hours for the two cars to be 280 miles apart.

To determine the time it takes for the two cars to be 280 miles apart, we can use the concept of relative velocity.

Since the cars are traveling in opposite directions, their velocities can be added together to find their relative velocity:

Relative velocity = Velocity of car traveling east + Velocity of car traveling west

Relative velocity = 60 mph + 20 mph

Relative velocity = 80 mph

The relative velocity of the cars is 80 mph, which means that they are moving away from each other at a combined speed of 80 mph.

To find the time it takes for them to be 280 miles apart, we can use the formula:

Time = Distance / Speed

Plugging in the values, we have:

Time = 280 miles / 80 mph

Time = 3.5 hours

Therefore, it will take 3.5 hours for the two cars to be 280 miles apart.

During this time, the car traveling east would have covered a distance of 60 mph × 3.5 hours = 210 miles, while the car traveling west would have covered a distance of 20 mph × 3.5 hours = 70 miles.

The sum of these distances is indeed 280 miles, confirming the result.

For more questions on relative velocity.

https://brainly.com/question/11418015

#SPJ8

To find the slope of the curve at t=3, we first need to find the values of x and y at t=3 using the given equations.

x = (3)^5 + 3 = 246

y + 3(3)^5 = 3

y = -1347

Next, we can differentiate both equations with respect to t to get the following:

dx/dt = 5t^4 + 1

dy/dt = -15t^4

At t=3, we get

dx/dt = 5(3)^4 + 1 = 454

dy/dt = -15(3)^4 = -1215

Therefore, the slope of the curve at t=3 is given by dy/dx = (dy/dt)/(dx/dt) = (-1215/454) ≈ -2.68. This means that the curve is decreasing (sloping downwards) at t=3.

To learn more about slope of the curve:

https://brainly.com/question/30466171

#SPJ4

The requried larger number x is 80 and the smaller number y is 27.

Let's use the given variables:

x be the larger number

y be the smaller number

According to question

The sum of two numbers is 107 is represented by x + y = 107

The difference between the two numbers is 53 is represented by x - y = 53.

Solving the system of equations:

(x + y) + (z - y) = 107 + 53

2x = 160

x = 80

Now, z = 80, substitute this value into one of the original equations to solve for y.

x + y = 107

80 + y = 107

y = 27

Therefore, the requried larger number x is 80 and the smaller number y is 27.

Learn more about the system of equations here:

https://brainly.com/question/24065247

#SPJ1

Answer:

Option B

Step-by-step explanation:

704 cubic centimeters

Answer:

  f(x) = (x +6)(x -5)  or  f(x) = x² +x -30

Step-by-step explanation:

You want a quadratic function whose zeros are -6 and +5.

If p is a zero of the polynomial f(x), then (x-p) is a factor. The two given zeros meant that the factors are ...

  f(x) = (x -(-6))·(x -5)

  f(x) = (x +6)(x -5) . . . . . . . . simplify a bit

This can be put in standard form by multiplying the factors:

  f(x) = x(x -5) +6(x -5) = x² -5x +6x -30

  f(x) = x² +x -30 . . . . . . . . simplified quadratic function

The quadratic function of the zeros is f(x) = \(x^2+x-30\).

What is quadratic function?

A polynomial function that has one or more variables and a variable having a maximum exponent of two is said to be quadratic. A polynomial of degree 2 is referred to as such because the greatest degree term in a quadratic function is of second degree. There must be at least one second-degree term in a quadratic function. It is a mathematical function.

Here the zeros of the function is -6 and 5.

We know that if zeros of the function is a then the factor is (x-a).

Then,

=> f(x) = (x-(-6))(x-5)

=> f(x) = (x+6)(x-5)

=> f(x) = \(x^2+6x-5x-30\)

=> f(x) = \(x^2+x-30\)

Hence the quadradic function is f(x) = \(x^2+x-30\).

To learn more about quadradic function refer the below link

https://brainly.com/question/1214333

#SPJ1

Answer:

16

Step-by-step explanation:

47% is 0.47

34 x 0.47 = 15.98

So a trick question, its either 15 students or 16 students.... I would say 16 students, although the percentage would be 47.05%

16 students either have glasses or contacts.

Answer:

5 x 5 x 5 x 5 x 5

Step-by-step explanation:

The stars in order from the closest one to the farthest one are:

0.883, 0.886, 0.89, 1.25

so, the answer is A.

What is a sequence?

A sequence is an enumerated collection of objects in which repetitions are allowed. Like a set, it contains members (also called elements, or terms).

To put the given distances in order from the closest one to the farthest one, we need to arrange them in ascending order.

That means we need to start with the smallest value and move toward the largest value.

Looking at the given distances, we see that the smallest value is 0.883, followed by 0.886, then 0.89, and finally 1.25, which is the largest value.

Putting the given distances in ascending order, we get:

0.883, 0.886, 0.89, 1.25

Therefore, the stars in order from the closest one to the farthest one are:

0.883, 0.886, 0.89, 1.25

so, the answer is A.

To know more about sequence visit:

brainly.com/question/12246947

#SPJ1

Answer:

1. KLP + PLM = 180 degrees (straight line)

2. 3x + angle PLM = 180 degrees

3. angle PLM = 180 - 3x

4. PMN = P + PLM (Exterior angle)

5. 2x + 72 = x + 180 - 3x

6. x = 27

Step-by-step explanation:

1. Notice that angle KLP + angle PLM is a straight line, so KLP + PLM = 180 degrees (straight line)

2. angle KLP = 3x, so

3x + angle PLM = 180 degrees

3. angle PLM = 180 - 3x

4. PMN = P + PLM (Exterior angle)

5. 2x + 72 = x + 180 - 3x

6. 5 gives 4x = 108, so x = 27

Answer:

1. KLP + PLM = 180 degrees (straight line)

2. 3x + angle PLM = 180 degrees

3. angle PLM = 180 - 3x

4. PMN = P + PLM (Exterior angle)

5. 2x + 72 = x + 180 - 3x

6. x = 27

Step-by-step explanation:

ngl i didnt really get this i i kinda have a some what idea on what this is

The exterior angles of the triangle added to their corresponding interior angles equal 180 degrees by virtue of the sum of angles on a straight line.

As such the interior angles are

1. 180 - (x+ 3)

2. 180 - (2x+ 1)

3. 180 - (3x - 4)

Given that the sum of angles in a triangle is 180 degrees

180 - (x+ 3) +  180 - (2x+ 1) + 180 - (3x - 4) = 180

540 - 6x = 180

6x = 540 - 180

6x = 360

x = 60

The exterior angles are

x + 3 = 60 + 3 = 63

2x + 1 = 2(60) + 1 = 121

and

3x - 4 = 3(60) - 4 = 180  - 4 = 176

Answer: A quadratic function is a polynomial function of form f(x) = ax^2 + bx + c where a,b, and c are constants, and a is not equal to zero.

The given functions are:

8 - 5x = 4(3x - 1)

(4a + 2)(2a - 1) + 1 = 0

2y + 2(3y - 5) = 0

2b(b - 7) + b = 0

The quadratic function(s) among them are:

2. (4a + 2)(2a - 1) + 1 = 0

2b(b - 7) + b = 0

The first one 8 - 5x = 4(3x - 1) is linear and not a quadratic function, and the third one 2y + 2(3y - 5) = 0 is also linear, not a quadratic function.

Note that to identify a quadratic function, we can look for the pattern of x^2 or y^2 in the equation.

Also, we could expand the second degree polynomials in the form (ax^2+bx+c) and check if there are x^2 or y^2 term on both sides of the equation.

Step-by-step explanation:

l am not sure but I think it's Y

A system of equations to model this scenario is given as follows -

x + y = 320

7x + 10y = 2900

        {m} - slope                 {c} - intercept along the y - axis.

Given is that on one day at a local minigolf course, there were 320 customers who paid a total of $2,900. The cost for a child is $7 per game and the cost for an adult is $10 per game.

Let {x} represents the number of children and {y} represents the number of adults who played that day. We can write the given system of equations as -

x + y = 320

7x + 10y = 2900

Therefore, a system of equations to model this scenario is

x + y = 320

7x + 10y = 2900

To solve more questions on expressing evaluation, visit the link below -

brainly.com/question/1041084

#SPJ1

The volume of the solid of revolution is \(\frac{16\pi}{3}\) cubic units.

First, we determine the limits between the two curves. (\(f(x) = 4\cdot x -2\), \(g(x) = x^{2}+1\))

\(f(x) = g(x)\) (1)

\(4\cdot x - 2 = x^{2}+1\)

\(x^{2}-4\cdot x +3 = 0\)

\((x-1)\cdot (x-3) = 0\)

The lower and upper bounds are 1 and 3, respectively. It is to notice that \(f(x) > g(x)\) for \(x \in (1, 3)\). Thus, we determine the volume of the solid of revolution by shell method, that is to say:

\(V = 2\pi \int\limits^a_b {x\cdot |f(x) - g(x) |} \, dx\) (2)

If we know that \(a = 3\), \(b = 1\), \(f(x) = 4\cdot x - 2\) and \(g(x) = x^{2}+1\), then the volume of the solid of revolution is:

\(V = 2\pi \int\limits^3_1 {|4\cdot x^{2}-2\cdot x -x^{3}-x|} \, dx\)

\(V = 2\pi\int\limits^3_1 {(4\cdot x^{2}-x^{3}-3\cdot x)} \, dx\)

\(V = 8\pi \int\limits^3_1 {x^{2}} \, dx - 2\pi \int\limits^3_1 {x^{3}} \, dx -6\pi \int\limits^3_1 {x} \, dx\)

\(V = 8\pi\cdot \left(\frac{3^{3}}{3}-\frac{1^{3}}{3} \right)-2\pi \cdot \left(\frac{3^{4}}{4}-\frac{1^{4}}{4} \right) - 6\pi\cdot \left(\frac{3^{2}}{2}-\frac{1^{2}}{2} \right)\)

\(V = \frac{208\pi}{3} - 40\pi -24\pi\)

\(V = \frac{16\pi}{3}\)

The volume of the solid of revolution is \(\frac{16\pi}{3}\) cubic units.

To learn more on solids of revolution, we kindly invite to check this verified question: https://brainly.com/question/338504

Answer:

f(6) = 51

Step-by-step explanation:

f(x)= x² + 3x - x/2

In order to find f(6) ,we need to substitute

x by 6 in the expression of f :

f(6) = (6)² + 3(6) - (6)/2

    = 36 + 18 - 3

    = 54 - 3

    = 51

Then

f(6) = 51

Answer:

f(6) = 51

Step-by-step explanation:

Simplify:

  Substitute the value of x

\(\sf f(x) =x^2 + 3x -\dfrac{x}{2}\\\\f(6)=6^2 + 3*6 -\dfrac{6}{2}\\\\\)

        = 36 + 18 - 3

        =  51

Answer:

There are 91 dimes in the jar.

Step-by-step explanation:

5n+10d= 1455

n+d = 200

n=200-d

5(200-d) + 10d=1455

1000-5d+10d=1455

1000+5d=1455

5d=455

d=91

91 dimes

The weight of the plane when there is 66 gallons of fuel in it is 2,529 lb.

A linear function is a function that when drawn on a coordinate plane, it is a straight line. A linear function is made up of a single variable that is raised to the power of one.

If the weight of the plane is a linear function, it means that the weight of the plane increases at a constant rate.

The first step is to determine the rate of increase in the weight of the plane: (2451 - 2230) / (54 - 20) = 6.5 lb

The second step is to determine the weight of the plane when there is no fuel in it:

2451 - (6.5 x 54) = 2100 lb

Weight of the plane when there is 66 gallons of fuel in it : 2100 + (6.5 x 66) = 2,529 lb

To learn more about linear functions, please check: https://brainly.com/question/26434260

#SPJ1