Please help me with this

Answer:

There is no significant evidence to support that waiting time is less than the mean reported.

Step-by-step explanation:

Given that :

Sample mean, x = 10.7

Standard deviation, s = 3.1

Sample, size , n = 19

H0: μ ≥ 11.5

H1: μ < 11.5

Using the t-test (sample size is small)

Test statistic :

(x - μ) / s/sqrt(n)

(10.7 - 11.5) / (3.1 / sqrt(19))

-0.8 / 0.7111887

= −1.124877

Tcritical = Tdf, 0.05

df = n - 1 ; T18,0.05/2 = - 2.101 (left tailed)

Decision region:

Reject H0 :

If Tstatistic < Tcritical

−1.124877 > - 2.101

Hence, We fail to reject H0

There is no significant evidence to support that waiting time is less than the mean reported.

the two planes will be at the same altitude of approximately 5675.48 feet after 49.45 seconds.

A plane is a flat two-dimensional surface that extends infinitely in all directions. In geometry, a plane is defined as a surface that is completely flat and has no thickness. It is often represented as a coordinate system with two perpendicular axes, usually labeled as the x-axis and y-axis.

Assuming that the two planes maintain their rates of ascent, we can use the following equations to determine when the planes will be at the same altitude:

altitude of plane A = 4000 + 33.5t

altitude of plane B = 3146 + 50.75t

where t represents time in seconds.

To find the time at which the two planes will be at the same altitude, we can set the two equations equal to each other and solve for t:

4000 + 33.5t = 3146 + 50.75tSubtracting 3146 from both sides, we get:

854 + 33.5t = 50.75t

Subtracting 33.5t from both sides, we get:

854 = 17.25t

Dividing both sides by 17.25, we get:

t = 49.45 seconds

Therefore, it will take approximately 49.45 seconds for the two planes to be at the same altitude. To find the altitude at which they will meet, we can substitute this value of t into either equation. Using the equation for plane A, we get:

altitude of plane A = 4000 + 33.5(49.45) = 5645.08 feet

Using the equation for plane B, we get:

altitude of plane B = 3146 + 50.75(49.45) = 5675.48 feet

To learn more about equation:

https://brainly.com/question/29657983

#SPJ1

Answer:

7 quarts = 28 cups 10 cups = 2.5 quarts

Answer:

28 cups

Step-by-step explanation:

The least amount of paint that is needed to paint the walls of a room with a rectangular prism shape is 1. 8 gallons.

There would be two walls with 10 x 16 dimensions so the area is :

= 2 x 10 x 16

= 320 square feet

Two walls with 20 x 10 dimensions :

= 2 x 20 x 10

= 400 square feet

The total area is :

= 400 + 320

= 720 square feet

One gallon of paint can cover 400 square feet so the number of gallons needed is:

= 720 / 400

= 1. 8 gallons

Find out more on gallons at https://brainly.com/question/13370984

#SPJ1

Full question is:

One gallon of paint covers 400 square feet. What is the least amount of paint needed to paint the walls of a room in the shape of a rectangular prism with a length of 20 feet, a width of 16 feet, and a height of 10 feet? Write your answer as a decimal.

Answer:

36

Step-by-step explanation:

The square number that is between 35 and 45 is 36

36 is the square number that is between 35 and 45, we can also call 36 a perfect square number.

A number is a perfect square when taken square root of it it is an integer.Every non perfect square when taken square root is irrational.

We know a number is a perfect square when we multiply same number with itself.

∴ (1×1) = 1 is a perfect square,similarly 4, 9, 16, 25, 36 and 49 is a pefect square number.

So, the square number that is between 35 and 45 is 36, which is (6×6) or

6².

learn more about squares here :

https://brainly.com/question/997406

#SPJ2

Answer:

9

Step-by-step explanation:

(a-b)^2=a^2-2ab+b^2

(15-12)^2=9

Answer: 96

Step-by-step explanation:

Plug in a and b. so, (15-4(3))2+2(15). so (15-12)2+30. (3)32. Answer is 96.

1. The type of function which is best represented by the data in the table is; Quadratic.

2. The statement which is true is; The second differences are constant.

3. The type of function which is best represented by the given table is; Linear equation.

It is evident from the task content that the functions which correctly represents each data table is required to be determined.

Since linear functions are functions in which case, the first differences are constant while quadratic functions are functions in which the second differences are constant.

On this note, the first table correctly represents a quadratic function while the second represents a linear function.

Read more on first and secod difference concept;

https://brainly.com/question/27950190

#SPJ1

Answer:

the range is 70, you subtract the highest number from the lowest so 180 - 110 which equals 70

Hope this helps

Answer:

The quotient of m and n is negative, since the only way the product of two integers can be negative is if one of the integers is negative. Meaning, m or n is negative. That's the same for division. The only way a quotient could be negative is if the dividend or divisor is negative.

The only way a product of two integers can be negative is if one of those integers is negative itself.

And that's the same for division. A negative divided by a positive? Negative. Positive divided by a negative? Negative. They have different signs. So the quotient of m and n would be negative since either n or m is negative.

Step-by-step explanation:

Answer:

d 88

Step-by-step explanation:

Answer:D

Step-by-step explanation:

88

triangles ABC and AMN are similar by the Side-Angle-Side (SAS) similarity theorem.

How to prove similarity?

To show that triangles ABC and AMN are similar, we need to show that their corresponding angles are equal and their corresponding sides are in proportion.

We can start by looking at the angles.

Angle MNA is opposite to side BC, so it is equal to angle BAC in triangle ABC.

Angle MAN is opposite to side BC in triangle AMN, so it is equal to angle ACB in triangle ABC.

Therefore, we have two pairs of corresponding angles that are equal:

angle BAC in triangle ABC and angle MNA in triangle AMN

angle ACB in triangle ABC and angle MAN in triangle AMN

Now let's look at the sides.

We can use the ratios of the corresponding sides to see if they are in proportion.

In triangle ABC, we have:

AB/BC = 21/15 (since AB = AM + MB = 21 + 9 = 30, and BC = BN + NC = 9 + 6 = 15)

In triangle AMN, we have:

AM/MN = 21/x (where x is the length of side MN)

AN/NM = 14/x (since AN + NM = AM = 21)

We can use the fact that MN = BC to substitute for x:

AM/MN = 21/15

AN/NM = 14/15

Therefore, the corresponding sides are in proportion, and we have:

AB/BC = AM/MN = 21/15

AC/BC = AN/NM = 14/15

This shows that triangles ABC and AMN are similar by the Side-Angle-Side (SAS) similarity theorem.

To know more about Triangles visit :-

https://brainly.com/question/17335144

#SPJ1

Answer:

35 degrees celsius

The value of x in the triangles are 9.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

The triangles are congruent.

That means, their corresponding angles are also congruent.

In ΔJKL,

the sum of all the angles of the triangle is 180°.

So,

x²-2x + x + 29 + 3x + 52 = 180

x² + 2x - 99 = 0

Solving the quadratic equation,

x² +11x - 9x - 99 = 0.

x (x + 11) -9 (x + 11) = 0

x = 9 and x = -11

Here, we take x = 9.

Therefore, the value of x is 9.

To learn more about the quadratic equation;

https://brainly.com/question/17177510

#SPJ1

Answer:

5 cups

Step-by-step explanation:

HOPE THIS HELPS!!

Step-by-step explanation:

please mark me as brainlest

Answer:

p+t i dont know the question dose not make sence

Step-by-step explanation:

Answer: Curved surface!

Step-by-step explanation:

Answer:

curved surface:) good luck in school guys!

Step-by-step explanation:

Answer:

Decimal

Step-by-step explanation:

its a Decimal because 0.5 is an fact a decimal and its is equal to half and you can put 2 and 2 together and say it is a decimal just by how it looks

:) i hope you get the question righttt trust me its right i got it right on flocabulary.

The missing word into place is Decimal. Hence option 3 is true.

Used the concept of decimal number that states,

In Algebra, decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point.

Given that the number is,

0.5

Now the number is written as,

0.5

5/10

1/2

And, the number 0.5 is in the form of a Decimal.

Hence, The missing word place is Decimal.

Therefore, option 3 is true.

To learn more about decimal numbers:

brainly.com/question/1285738

#SPJ6

20 mph

Here you go!

Answered!

Answer:

V = V = 175 pi units^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

V =pi ( 5)^2 ( 7)

V = 175 pi units^3

Answer:

Step-by-step explanation:

The slope is given to you by the line y = 1/4 x

The slope is just read as the number in front of x providing that the coefficient of y is 1. If that is not so, then you must divide by the coefficient in front of y. So far what you have is y = 1/4 x + b.

The second part of the question is to use the given point to find b.

x = 4

y = -1

b = ?                       substitute x and y to find b

y = 1/4 * 4 + b

- 1 = 1/4 * 4 + b

-1 = 1 + b

-2 = b

The equation of the line is y = 1/4 x - 2 Just to confirm this, I'm going to include the graph with the point 4,-1 on it.

Answer:

If A > B (A is greater than B), A will be on the right side of B, and B will be on the left side of A on a number line.

Step-by-step explanation:

This is because as you keep on going right on a number line, the numbers keep getting greater. Same idea vise versa (left side gets lesser). Therefore, if A is greater than B, it will be to the right of B on a number line. Look below for an example:

Answer:

divide the speed value by 3600

according to the most used browser by the name of g

Step-by-step explanation:

The difference in the given functions is 2x^3 + 6x^2 -8x + 1

Given the following function a shown

f(x)= 2x^3 + 6x^2 -5x - 3

g(x)= 3x-4

Take the difference

(f-g)(x) = f(x) - g(x)

Substitute

(f-g)(x)  = 2x^3 + 6x^2 -5x - 3 - (3x - 4)

Expand

(f-g)(x)  = 2x^3 + 6x^2 -5x - 3 - 3x + 4

(f-g)(x) = 2x^3 + 6x^2 -8x + 1

Hence the difference in the given functions is 2x^3 + 6x^2 -8x + 1

Learn more on polynomials here: https://brainly.com/question/2833285

#SPJ1

Answer:

21.8 - 0.1 = 21.7

21.7 is 0.1 less than 21.8

Answer:

The answer is 21.7

Step explanation

21.8 - 0.1 = 21.7

I hope it helped you.

Please Mark me brainliest

The required, general solution for x that satisfies the equation cos(x + 30) = -1 is x = (2n + 1)π - 30.

To find the general solution for the equation cos(x + 30) = -1, we can start by considering the general form of the cosine function. The cosine function has a period of 2π, meaning it repeats every 2π radians.

In this equation, we have cos(x + 30) = -1. Since the cosine function has a maximum value of 1 and a minimum value of -1, the only way for cos(x + 30) to equal -1 is if x + 30 is an odd multiple of π. We can write this as:

x + 30 = (2n + 1)π

Here, n is an integer representing the number of periods of the cosine function. To find the general solution, we can solve for x by subtracting 30 from both sides:

x = (2n + 1)π - 30

This equation gives us the general solution for x that satisfies the equation cos(x + 30) = -1. We can see that for each integer value of n, we have a different solution.

Learn more about trigonometric functions here:

https://brainly.com/question/25618616

#SPJ1

Answer:

The height of the spanning tree is one by the breadth-first search at the central vertex of Wn.

Step-by-step explanation:

The graph is connected and has a spanning tree where the tree can build using a depth-first search of the graph. Start with chosen vertex, the graph as the root, and root add vertices and edges such as each new edge is incident with vertex and vertices are not in path. If all vertices are included, it will do otherwise, move back to the next level vertex and start passing. It is for depth-first search. For breadth-first search, start with chosen vertex add all edges incident to a vertex. The new vertex is added and becomes the vertices at level 1 in the spanning tree, and each vertex at level 1 adds each edge incident to vertex and other vertex connected to the edge of the tree as long as it does not produce.

According to the statement, the Ship must move at an average pace of 150 meters per hour.

The variable under examination is lessened when the gradient is "downhill" (negative). When used as a gauge of how well things are doing, "downhill" denotes a downward trend. Yet, if this indicates trouble or some other unpleasant quality, the situation is improving.

The chess player Carissa walks very, very slowly. She actually moves at speeds of 100 meters per hr upward, 150 meters per hr on flat terrain, and 200 meters every hour on downhill terrain.

Here,

Carissa traverses Boston on foot from a coffeehouse to a boba store before returning over the same path.

Total distance walked = 2 [200 + 100 + 150] = 900 meter

Total time = 2 [1 + 1 + 1] = 6 hour

Average speed is calculated as distance divided by time (900 / 6 = 150 m/s),

As a result, the needed Carissa average speed is 150 meters per hr.

To know more about Downhill visit:

https://brainly.com/question/28440436

#SPJ1