Solve for the inequality -n-4<3

Answer:

1/2c

Step-by-step explanation:

A breakfast chef used different amounts of ill when

making pancakes, depending on the number of panes ordered. The results are shown below.

1/2c, 1/4c, 1/2c, 3/4c, 1/2c, 3/4c, 1/2c, 1/4c, 1/2c, 1/2c

What is the average amount of milk used for an order of pancakes?

Average amount of milk used for an order of pancakes = {1/2c + 1/4c + 1/2c + 3/4c + 1/2c + 3/4c + 1/2c + 1/4c + 1/2c + 1/2c} ÷ 10

= {6(1/2c) + 2(1/4c) + 2(3/4c)} ÷ 10

= {6/2c + 2/4c + 6/4c} ÷ 10

= {3c + 1/2c + 3/2c} ÷ 10

= {(6+1+3) / 2}c ÷ 10

= 10/2c ÷ 10

= 5c ÷ 10

= 5/10c

= 1/2c

The average amount of milk used for an order of pancakes = 1/2c

The null hypothesis and the alternate hypothesis for the given problem are: Null Hypothesis: Car accidents are equally distributed throughout the year. Alternate Hypothesis: Car accidents are not equally distributed throughout the year. The test statistic is 8.99.

The level of significance is given as 0.05. The degrees of freedom for the given problem are,df = n - 1= 150 - 1= 149

The critical value of the Chi-Square distribution is calculated as,

χ2 = Σ((O - E)² / E)

Where,

O = Observed frequency

E = Expected frequency

The expected frequency of each season is calculated as,

Expected frequency = Total frequency / Number of seasons

Expected frequency = 150 / 4

Expected frequency = 37.5χ2 = ((27 - 37.5)² / 37.5) + ((39 - 37.5)² / 37.5) + ((31 - 37.5)² / 37.5) + ((53 - 37.5)² / 37.5)χ2 = 2.96 + 0.16 + 0.56 + 5.31χ2 = 8.99

Now, we compare the calculated value with the critical value of the Chi-Square distribution at the 0.05 level of significance and 3 degrees of freedom.

The critical value is given in the table of Chi-Square distribution below:

Degrees of Freedom Probability 0.10 0.05 0.01 0.001 1 2.706 3.841 6.635 10.828 2 4.605 5.991 9.210 13.816 3 6.251 7.815 11.345 16.266 4 7.779 9.488 13.277 18.467 5 9.236 11.070 15.086 20.515 6 10.645 12.592 16.812 22.458 7 12.017 14.067 18.475 24.322 8 13.362 15.507 20.090 26.125 9 14.684 16.919 21.666 27.877 10 15.987 18.307 23.209 29.588

As, we have 3 degrees of freedom, we will consider the value in the third column (0.05) which is 7.815.As the calculated value is greater than the critical value, we reject the null hypothesis and conclude that the car accidents are not equally distributed throughout the year.

Test statistic = 8.99 (rounded to 2 decimal places)

To know more about hypothesis refer to-

brainly.com/question/29519577#
#SPJ11

Answer:

3:4

Step-by-step explanation:

Three students ate apples, 4 students did not

Answer:

 (-7/9)^4 = 2401/6561

Step-by-step explanation:

The rules of exponents apply.

  (a^b)/(a^c) = a^(b-c) . . . . . quotient rule

  (a^b)^c = a^(bc) . . . . . . . . power rule

__

The first rule of exponents shown above helps us find the value of a/b.

  \(\dfrac{a}{b}=\dfrac{\left(\dfrac{-7}{9}\right)^8}{\left(\dfrac{-7}{9}\right)^6}=\left(\dfrac{-7}{9}\right)^{8-6}=\left(\dfrac{-7}{9}\right)^2\)

The second rule of exponents shown above tells us how to find the square.

  \(\left(\dfrac{a}{b}\right)^2=\left(\left(\dfrac{-7}{9}\right)^2\right)^2=\left(\dfrac{-7}{9}\right)^{2\times2}\\\\\boxed{\left(\dfrac{a}{b}\right)^2=\left(\dfrac{-7}{9}\right)^4=\dfrac{2401}{6561}}\)

_____

Additional comment

Since -7 is always to an even power in these expressions, its sign can be ignored. The product of an even number of negative values is positive.

a). Solving for time (t): t = 150 ft / (v_car - v_truck)

b). Distance traveled by the car = v_car * t

c). The velocity of each vehicle when they are abreast is equal to the velocity of the car or the velocity of the truck.

(a) To calculate how long it takes for the car to overtake the truck, we need to consider their relative speeds and the distance traveled by the truck before being overtaken.

Let's assume the car's speed is v_car and the truck's speed is v_truck. Given that the truck has moved 150 ft before being overtaken, we can set up the following equation:

Distance traveled by the car = Distance traveled by the truck + 150 ft

Using the formula distance = speed × time, we can express this equation as:

v_car * t = v_truck * t + 150 ft

Since the car overtakes the truck, its speed is greater than the truck's speed (v_car > v_truck).

Solving for time (t):

t = 150 ft / (v_car - v_truck)

(b) To determine how far the car was initially behind the truck, we can substitute the value of time (t) obtained in part (a) into the equation for distance traveled by the car:

Distance traveled by the car = v_car * t

(c) When the car overtakes the truck and they are abreast, their velocities are the same. Therefore, the velocity of each vehicle when they are abreast is equal to the velocity of the car or the velocity of the truck.

485:

(a) To calculate the initial velocity with which the juggler throws the ball upward, we need to use the kinematic equation for vertical motion. Assuming upward as the positive direction, the equation is given by:

v_f = v_i + (-g) * t

where:

v_f is the final velocity (0 m/s when the ball reaches the ceiling),

v_i is the initial velocity (what we need to find),

g is the acceleration due to gravity (-9.8 m/s^2),

t is the time taken to reach the ceiling.

Since the final velocity is 0 m/s, we can rearrange the equation to solve for v_i:

0 = v_i - 9.8 m/s^2 * t

Since the ball just reaches the ceiling, the displacement is equal to the height of the ceiling (9 ft or approximately 2.7432 m). We can use the kinematic equation:

s = v_i * t + (1/2) * (-g) * t^2

Rearranging this equation to solve for t:

2.7432 m = v_i * t - 4.9 m/s^2 * t^2

(c) To determine how long after the second ball is thrown the two balls pass each other, we need to find the time at which the first ball reaches its maximum height and begins descending. This time is equal to half of the total time it takes for the first ball to reach the ceiling and fall back down.

(d) When the balls pass each other, the second ball is at the same height as the first ball when it was thrown. This height is equal to the height of the ceiling (9 ft or approximately 2.7432 m) above the juggler's hands.

To know more velocity, visit:

https://brainly.com/question/30559316

#SPJ11

The distance between Vega 3 and the Mars (MV) illustrates cosine function, and the distance is 29.1 million light years or 142.8 million light years

From the question, we have the following parameters

See attachment for the illustration of the given parameters.

The distance between Vega 3 and the Mars (MV) is then calculated using the following cosine function

VS² = MS²+ MV² - 2 * MS * MV * cos(Ф)

This gives

4489 = 8649+ MV² -  171.96MV

Subtract 8649 from both sides

MV² -  171.96MV = -4160

Rewrite as:

MV² -  171.96MV + 4160 = 0

Using a graphing tool, we have:

MV = 29.1 and MV = 142.8

Hence, the distance between Vega 3 and the Mars is 29.1 million light years or 142.8 million light years

Read more about distance at:

https://brainly.com/question/16485848

Answer:

Your answer is One solution

Hope that this is helpful. Tap the crown button, Like & Follow me

Answer:

To solve the inequality 2x - 5 < 33, we can add 5 to both sides to isolate the variable:

2x - 5 + 5 < 33 + 5

2x < 38

Next, we divide both sides by 2 to obtain the value of x:

2x/2 < 38/2

x < 19

Therefore, any value of x that is less than 19 is a solution to this inequality. Among the given values, only 12 and 18 are less than 19. So, the solutions to the inequality are:

E. 12

D. 18

Answer:

3550 ft.

Step-by-step explanation:

y = 500(5) + 1050

  = 2500 + 1050

  = 3550 ft,

Answer:

46

Step-by-step explanation:

(PEMDAS)

12 x 7 - 33 + 15 - 20

84 - 33 + 15 - 20

46

Answer:

Step-by-step explanation:

so the question is asking about the time from 1500 feet to 1100 feet.  How long did they fall, w/o a parachute.    aka   "freefall"   so,   at 1500 feet the jumper is really at time zero.   so, plug in to the formula

1100 = -16\(x^{2}\) +1500  

( x represents seconds so i'll change it to t so we know it's time )  

1100 = -16\(t^{2}\) + 1500

now we can solve for t  , to see how long the jumper falls

-400 = - 16\(t^{2}\)      ( subtracting 1500 from both sides of equation )

25 = \(t^{2}\)      ( dividing both sides by  -16 )

oh.. look at how nice that turns out.. :)

\(\sqrt{25}\) = t  ( take the square root on both sides )

5 = t    

the jumper fell for 5 seconds to get to 1100 feet  

Answer:

A. an enlargement or a reduction of the figure

Step-by-step explanation:

The answer is choice A.

dilation A. an enlargement or a reduction of the figure

translation B. a slide of the figure

rotation C. a turning of the figure about some fixed point

reflection D. a mirror image of the figure

An error will occur when trying to compile the code because the variable x is not declared in scope in function B. Therefore, the code will not execute, and no value will be printed.

The program provided defines two functions, A and B, where function A defines a variable x and a function fie that assigns the value of 1 to x, and function B defines a variable x and calls the fie function from function A.

However, the x variable in function B is not initialized with any value, so its value is undefined. Therefore, when the program attempts to print the value of x using the write(x) statement in function B, it is undefined behavior and the result is unpredictable.

In general, it is good practice to always initialize variables before using them to avoid this kind of behavior.

Learn more about code at https://brainly.com/question/31970557

#SPJ11

Answer:

igle is 180

VX

Step-by-step explanation:

AB

MA

B

F

с

AAB=BC,AM=MC

BM IAC , EF I BC1.38371248486|ᡕᠵ᠊ᡃ່࡚ࠢ࠘ ⸝່ࠡࠣ᠊߯᠆ࠣ࠘

Answer:

B . 48- 6 = 42.

b =42/6=7

this is your answer

Answer:

10

Step-by-step explanation:

Answer:

k = 10

Step-by-step explanation:

The standard form of a proportional relationship is

y = kx ← k is the constant of proportion

y = 10x ← is in standard form

with k = 10

Answer:

75

Step-by-step explanation:

(0.45)(30) = (0.18)x

x = (0.45)(30) / (0.18)

x = 13.5 / 0.18 = 75

Check the answer:

(0.45)(30) = (0.18)(75)

13.5 = 13.5   answer is correct!

Answer:

Step-by-step explanation:

45% of 30 = 18% of some number

In this kind of questions, we usually assume the missing number as as something

Let the number be x

So assuming the number is x, the equation will be as follows:

45% of 30 is equal to 18% of x

45/ 100 * 30 = 18/100 * x

This means that 0.45 *30= 0.18 * x

Therefore, 13.5 = 0.18 x

Thus X = 13.5 / 0.18

Which is equal to 75

Thus 45% of 30 is equal to 18% of 75

Proving the above situation as follows:

45% OF 30 = 13.5

And 18% of 75 = 13.5

Thus both equations are equal.

Solution =75

Answer:

y=3x+2 is the solution to this systems equation because when you plug in the values, you get:

5 = 3(1) + 2

5 = 5

Since they equal each other, that means that the second equation is correct.

Answer:

No solution for y = -3x + 7

Solution for y = 3x + 2

Step-by-step explanation:

Substitute 1 for x and 5 for y and see if the equations are equal.

y = -3x + 7

5 = (-3)(1) + 7

5 = -3 + 7

5 = 4  Not a solution.  False statement

y = 3x + 2

5 = 3(1) + 2

5 = 3 + 2

5 = 5  This is a solution. True statement.

Width = area / length

Width = 40 / 8 = 5

Width = 5cm

It is claimed that the sample of participants is generalizable since it reflects the characteristics of the population.

To learn more about generalizable, refer to:

https://brainly.com/question/28237221

#SPJ4

Answer:

Number of package need = 6 package

Step-by-step explanation:

Given:

Amount of cheese needs = 3 KG = 3,000 gram

Assume;

1 package of cheese = 500 gram

Find:

Number of package need

Computation:

Number of package need = Amount of cheese needs / 1 package of cheese

Number of package need = 3,000 / 500

Number of package need = 6 package

Answer:

6 packages

Step-by-step explanation:

Information we have:

The maximun we have to buy the cars is 30.

We need to have at least 10 left after we buy the cars.

Each pack of cards costs 5.

The cost to buy "x" amount of cards will be x multiplied by the cost of each pack of cards:

And since we know that this cost must be less

12. MATLAB code: `f = (-3*t.^2 + 5*t + 20).*(t < 0) + (3*t.^2 + 5*t).*(t >= 0)`

13. MATLAB function: `function random_values = UniGen(n, a, b); random_values = (b - a) * rand(n, 1) + a; end`

MATLAB code to calculate f(t) using the given equation:

t = -9:0.5:9; % Generate values of t from -9 to 9 in steps of 0.5

f = zeros(size(t)); % Initialize f(t) vector

for i = 1:numel(t)

   if t(i) < 0

       f(i) = -3*t(i)^2 + 5*t(i) + 20;

   else

       f(i) = 3*t(i)^2 + 5*t(i);

   end

end

% Display the results

disp('t    f(t)');

disp('--------');

disp([t' f']);

```

This code generates values of `t` from -9 to 9 in steps of 0.5 and calculates `f(t)` based on the given equation. The results are displayed in a tabular format showing the corresponding values of `t` and `f(t)`.

13. MATLAB function UniGen to generate uniformly distributed random values:

function random_values = UniGen(n, a, b)

   % n: Number of random values to generate

   % a: Start of the interval

   % b: End of the interval

   random_values = (b - a) * rand(n, 1) + a;

end

This MATLAB function named `UniGen` generates `n` random values that are uniformly distributed on the interval `[a, b]`. It utilizes the `rand` function to generate random values between 0 and 1, which are then scaled and shifted to fit within the specified interval `[a, b]`. The generated random values are returned as a column vector.

Learn more about MATLAB code

brainly.com/question/12950689

#SPJ11

Answer:

I am not good at those but I am pretty sure its between a or b

Answer:

19th place from last

Step-by-step explanation:

If someone ranks xth place out of 35 students, then the rank from the last would (35-x)th place.

35-16=19th place

A system of inequalities can be used to determine the number of packages of hamburgers, x, and the number of packages of hot dogs, y, that Natalia should buy are;

x + y ≤ 5

4x + 2y ≥ 18

In order to write a system of inequalities to describe this situation, we would assign variables to the number of packages of hamburgers and the number of packages of hot dogs respectively, and then translate the word problem into a linear equation as follows:

Since Natalia needs to buy no more than 18 pounds of meat for a cookout, and hamburgers are sold in 4-lb. packages, and hot dogs are sold in 2-lb. packages and she plans to buy at least 5 packages of meat, a linear inequality that models the situation is given by;

x + y ≤ 5

4x + 2y ≥ 18

Read more on inequality here: brainly.com/question/19732652

#SPJ1

False. The input list is not comprised of a set of expected rates of return and a standard deviation matrix.

The input list typically represents a collection of data or elements, such as numbers, strings, or objects, organized in a specific order. It can be used to store and manipulate information in various programming languages. However, in the given statement, the input list is described as consisting of expected rates of return and a standard deviation matrix. This suggests that the list is specifically tailored for financial analysis or statistical calculations. In such cases, the list might contain data related to investment returns and associated risks, including expected rates of return and corresponding standard deviations. However, without additional context, it is not accurate to assume that all input lists are structured in this manner.

Learn more about collection here: https://brainly.com/question/29167665

#SPJ11

the answer to the question is 67.38