Pls help quick it’s important!!

sin x° = 24 : 27

sin x° = 0.89

x° = 62.7

The Speed of the train in Miles per hour will be 105 miles per hour.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

A train travels at a constant speed during a portion of its cross-country route the table shows the distance the train traveled over different intervals of time at this speed.

The slope represents the speed of the train. Then we have

m = (157.5 - 131.25) / (1.50 - 1.25)

m = 26.25 / 0.25

m = 105 miles per hour

The Speed of the train in Miles per hour will be 105 miles per hour.

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We have a linear model, that relates temperature with altitude.

The first senctence gives us a clue about tha rate of change (the slope) of temperature in function of the altitude.

We can write the slope, in °F/1000 ft, as:

The temperature on the ground, where h=0, is 56.9 °F, so we can write the equation of the line as:

When the altitude is 8,000 ft, h=8 and T is:

The temperature at 8,000 ft will be 47.3 °F.

The caramel topping demand curve will not change:

The cost of caramel topping is falling; there will be an increase in demand for caramel topping:

Butterscotch topping costs more money;

There will be less demand for caramel topping:

Ice cream now costs more money.

The quantity of caramel topping demanded would increase if the price of the topping dropped. Consequently, the demand curve for caramel topping would go lower.

Ice cream and caramel toppings are complementary products.

Products that are consumed together are said to be complementary.

The amount of ice cream demanded would drop if the price went up. There would be a drop in the number of caramel toppings needed as a result of the fall in demand.

a decline in the popularity of caramel toppings. With less demand, the demand curve for caramel toppings would move inward.

Butterscotch and caramel ice cream toppings serve as stand-ins.

Products that can be used in place of one another are known as substitute goods.

The quantity demanded for butterscotch topping would decline if the price of butterscotch topping rose, making it more expensive overall. Customers might switch to caramel topping. As a result, demand for caramel topping would rise and the demand curve would move outward.

Demand curve: what is it?

The demand curve is a graphical representation of how the cost of an item or service relates to how much is demanded over a given period of time.

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The probability of a student taking a math class or a physics class is \(0.85\) when the probability of a student taking a math class is \(0.70\), the probability of taking a physics class is \(0.30\), and the probability of taking a math class and a physics class is \(0.15\)

How can we find the probability of taking math class or a physics class ?

Given in the question probability of the student taking class

\(p(M)=0.70\\p(P)=0.30\\p( M and P)=0.15\)

So we use the probability union intersection formula

\(p(M or P)=p(M)+p(P)-p(M and P)\)

Substitute the values

\(p(M or P)=0.7+0.3-0.15\\=0.85\)

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Let's call x to an unknown even integer. The next (consecutive) even integer will be x + 2. For instance, if x = 6, then the next even integer will be 6 + 2 = 8.

In consequence, the sum of two consecutive even integers is:

x + (x + 2)

The total arc length of the curve on 0 ≤ t ≤ 1 is given by the integral ∫[0 to 1] √[9t⁴/4 + 25] dt.

To find the equation of the tangent line to the curve at t = 1, we need to compute the derivatives dx/dt and dy/dt. Taking the derivatives of the given parameterization, we have dx/dt = 3t^(1/2) and dy/dt = 5. Evaluating these derivatives at t = 1, we find dx/dt = 3 and dy/dt = 5.

The slope of the tangent line at t = 1 is given by the ratio dy/dt over dx/dt, which is 5/3. Using the point-slope form of a line, where the slope is m and a point (x₁, y₁) is known, we can write the equation of the tangent line as y - y₁ = m(x - x₁). Plugging in the values y₁ = 5(1) = 5 and m = 5/3, we obtain the equation of the tangent line as y - 5 = (5/3)(x - 1), which can be simplified to 3y - 15 = 5x - 5.

To compute the total arc length of the curve for 0 ≤ t ≤ 1, we use the formula for arc length: L = ∫(a to b) √(dx/dt)² + (dy/dt)² dt. Plugging in the derivatives dx/dt = 3t^(1/2) and dy/dt = 5, we have L = ∫(0 to 1) √(9t)² + 5² dt. Simplifying the integrand, we get L = ∫(0 to 1) √(81t² + 25) dt.

To evaluate this integral, we need to find the antiderivative of √(81t² + 25). This can be done by using appropriate substitution techniques or integration methods. Once the antiderivative is found, we can evaluate it from 0 to 1 to obtain the total arc length of the curve.

Note: Without further information about the specific form of the antiderivative or additional integration techniques, it is not possible to provide a numerical value for the total arc length. The exact computation of the integral depends on the specific form of the function inside the square root.

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Answer: 2x

Step-by-step explanation: The answer is 2x, because on the LHS, 9x - 7x = 2x, so the LHS is 2x + 5, if we make the RHS 2x - 7, the equation will become 2x + 5 = 2x - 7, this makes the equation unsolvable

Answer:

y-2/3x-4

the answer is (0,3)

3x+4y-12

the answer is (0,3)

Given:

Val is going to plant y vegetable seeds in one garden and 4y +9 vegetable seeds in another.

So, the total seeds =

To transform the regression equation, you would divide both sides of the equation by the square root of Var(ut), which is σ√(zt). This transformation helps in obtaining the transformed regression coefficients and standard errors that account for the heteroscedasticity in the error term.

When the variance of the error term (ut) is related to a known variable (zt), it implies the presence of heteroscedasticity in the regression model. Heteroscedasticity means that the variability of the error term is not constant across different levels of the independent variables.

To address this issue, we can transform the regression equation by dividing both sides by the square root of the variance of the error term, which is σ√(zt). This transformation is known as the weighted least squares (WLS) estimation.

By dividing both sides of the equation, we can obtain the transformed regression equation with the error term divided by its standard deviation. This transformation accounts for the heteroscedasticity by giving different weights to the observations based on the variability of the error term. It allows for a more appropriate estimation of the regression coefficients and standard errors, as it gives more weight to observations with smaller error variances and less weight to observations with larger error variances.

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Answer:

0.77

Step-by-step explanation:

According to the Question,

Let, We have 10000 patients & If the incidence rate is 10 out of 100, then 1000 people will have the disease.

        So, Out of the 9000 people who don't have the disease, 3%

       that is, 270 People, will get a false positive.

Thus, the probability that a person is chosen at random will both test positive and actually have the disease is \(\frac{950}{950+270}\) .

Answer: all numbers 9 and up.

Answer:

9

Step-by-step explanation:

because the paragraph is telling you 9 of the 18 customers want mustard on their hot dog so the paragraph is telling you de answer

Answer:

57

Step-by-step explanation:

First, write the experimental probability as a fraction in simplest form.

P(mustard)

=

mustard

total

=

mustard

mustard+other

=

30

30+10

=

30

40

=

3

4

The experimental probability is

3

4

.

We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.

3

4

=

n

76

3

4

(476)

=

n

76

(476) Multiply both sides by (476)

376

= 4n Simplify

228

= 4n Simplify

57

= n Divide both sides by 4

You would expect 57 of the next 76 customers to want mustard.

Answ bfyuuhgfer:

Step-by-step explanation:

Answer:

12 video games

Step-by-step explanation:

\(6.8 {v}^{2} = 979.20\)

\( {v}^{2} = 144\)

\(v = 12\)

Answer: 12:15 pm

Step-by-step explanation:

They had a balloon fight for 1 hour

They played in the hose for 30 minutes

The water fight ended at 1:45 pm minus 1 hour 30 minutes if play = 12:15 pm start time

Answer:

x = 2

Step-by-step explanation:

Answer: (2,5)

Step-by-step explanation: set the numbers equal to each other x+3=5, x=2, so (x,y) = (2,5)

Answer:

2.5

Step-by-step explanation:

Answer:

2 1/2

Step-by-step explanation:

5/8 ÷ 1/4

Copy dot flip

5/8 * 4/1

Rewriting

5/1 * 4/8

5/1 * 1/2

5/2

Writing as a mixed number

2 1/2

Answer:

The vertex is option C: (-6, -2)

Step-by-step explanation:

The equation for a parabola is y = a(x – h)² + k where h and k are the y and x coordinates of the vertex, respectively. Thus, the vertex is (-6,2)

Pls mark brainliest.

The rate of change of the angle of elevation is -2π/3 radians/second.

We can use the tangent ratio to solve this problem. Since the rope is attached to the boat, we can draw a right triangle with the rope as the hypotenuse. The angle of elevation is the angle formed by the rope and the horizon.

The pulley is 5 feet above the water level, so the length of the opposite side (the side adjacent to the angle) is 5 feet. The length of the hypotenuse is 12 feet, since the boat is 12 feet from the dock.

Using the tangent ratio, we can calculate the angle of elevation:

tan(θ) = opp/hyp = 5/12

θ = arctan(5/12) = 0.927 rad

Now, since the rope is being pulled in at 3 ft/sec, the length of the hypotenuse is decreasing at a rate of 3 ft/sec. Therefore, the rate of change of the angle of elevation is:

rate of change of θ = -(3 ft/sec) / (12 ft) = -2π/3 radians/second

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Two expressions that are equivalent to 7(t + 5) are: 7t + 35 and 7t + (5 * 7)

what is algebra?

Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas.

When we have an expression of the form a(b + c), we can simplify it using the distributive property of multiplication over addition. This property allows us to distribute the multiplication of a across the terms of the sum (b + c), and then add the resulting products.

In the case of 7(t + 5), we can use the distributive property to distribute the multiplication of 7 across t and 5, resulting in the expression 7t + 7(5). We can then simplify 7(5) to 35, giving us the equivalent expression 7t + 35.

Alternatively, we can simplify 7(t + 5) by first multiplying 7 and 5 to get 35, and then adding it to 7t, resulting in the expression 7t + 35.

Therefore, two expressions that are equivalent to 7(t + 5) are:

7t + 35

7t + (5 * 7)

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Answer:

31x + 21

Step-by-step explanation:

7x + 3(8x+7)

use distributive property: 7x + 3(8x)+(3)(7)

7x + 24x +21

gather like terms:

31x + 21

:) hope this helped!

Answer:

31x + 21

Step-by-step explanation:

7x + 3(8x +7)= 7x+24x+21=31x+21

Answer:

48%

Step-by-step explanation:

there are 250 cars in total 50+70 is 120 (the red  or blue cars)

so there are 120 "yes" out of 250 total of 120 divided by 250 equal 0.48 or 48%

The equation for the least-squares regression line for the given data and the average chance of admission for a student who scores a 305 on the GRE are options b) 51% (or 0.51).

To find the equation for the least-squares regression line, we need to first calculate the slope and y-intercept. Let x be the predictor variable (GRE score) and y be the response variable (admission chance). Then, we have:

n = 10 (number of data points)

Σx = 3100

Σy = 52.1

Σxy = 161750

Σx^2 = 96100

Σy^2 = 24.71

The slope, b, can be calculated as:

b = (nΣxy - ΣxΣy) / (nΣx^2 - Σx^2)

= (10(161750) - (3100)(52.1)) / (10(96100) - 3100^2)

= 0.0644

The y-intercept, a, can be calculated as:

a = (Σy - bΣx) / n

= (52.1 - (0.0644)(3100)) / 10

= 0.336

Therefore, the equation for the least-squares regression line is:

y = 0.0644x + 0.336

To find the average chance of admission for a student who scores a 305 on the GRE, we simply substitute x = 305 into the equation and solve for y:

y = 0.0644(305) + 0.336

= 0.5136

So the average chance of admission for a student who scores a 305 on the GRE is b) 51% (or 0.51).

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Answer:

Here is the missing part.

Cups and liters:-1 litre = 2.1 cups

Cups and pints:- 1 pint = 2 cups

Pints and liters:-1 litre = 2.1 pints

Step-by-step explanation:

Step 1:

7 cups + 3 liters = 9.8 pints

\(7c+3l=9.8p\)

5 liters - 9 cups = 6 pints

\(5l+9c=6p\)

Cups and Liters

\(7c+3l=9.8p\)

\(p= 7c+3l/9.8\) (put in equation 2)

\(5l-9c= 7c+3l/9.8\\49l-88.2c=7c+3l\\49l-3l=7c-88.2c\\46l=45.2c\)

1 Liter = 2.1 Cups.

Step 2:

Cups and Pints

\(7c+3l=9.8p\\3l=9.8p-7c\)

\(l=9.8p-7c/3\)(put in equation 2)

\(5(9.8p-7c/3)-9c=6p\\(49p-35c/3)-9c=6p\\49/3p-35/3c-9c=6p\\49/3p-6p=35/3c+9c\\31/3p=62/3c\)

1 Pint = 2 Cups.

Step 3:

Pints and Liters

\(7c=9.8p-3l\)

\(c=9.8p-3l/7\)(put in equation 2)

\(5l-9(9.8p-3l/7)=6p\\5l-63/5p+27/7l=6p\\5l+27/7l=6p+63/5p\\62/7l=93/5p\)

​1 Liter = 2.1 Pints.

The area of the pieces of the larger Pie in comparison to those of the smaller by will be 16 times bigger.

Among the two pies let us say that the diameter of the smaller Pie is d and the diameter of the bigger Pie is D.

It is given to us that 4d = D.

As we know that the Pie are assumed to be circular in shape. Hence,

The area of the smaller Pie can be given by,

A' =π(d/2)²

The area of the bigger Pie can be given by,

A = π(D/2)²

Solving further,

A = πD²/4

Putting D = 4d,

A = π(4d)²/4

A = π16d²/4

Putting πd²/4 = A',

We get,

A = 16A'

So, here we can control that the area of the larger Pie is 16 times of the area of the smaller Pie.

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Answer:

3

Step-by-step explanation:

Not sure, but let's take 32 to be the answer

4(5+x)=32

4×5= 20

4×x= 4x

20-4x=32

4x=32-20

4x=12

12÷4

x=3

Answer:

4n - 5

Step-by-step explanation:

let the number be n then the product of 4 and this number is 4n

Subtract 5 from 4n gives

4n - 5

Answer:

it's rational

Step-by-step explanation: