The number √6 is rational.
O True
O False

Based on the sample data, we cannot say with 95% confidence that the manufacturer's claim of 41.5 mpg rating for their van is incorrect.

To determine if there is sufficient evidence to reject the manufacturer's claim that the van has a 41.5 mpg rating, we can conduct a hypothesis test.

The null hypothesis (H0) is that the true mean mpg of the van is 41.5, while the alternative hypothesis (Ha) is that the true mean mpg is not equal to 41.5.

We can use a t-test since the sample size is relatively small (n=13) and the population variance is unknown. The test statistic is calculated as following :equation

t = (x‌ - μ) / (s / √n)

Where x‌ is the sample mean (41.4), μ is the hypothesized population mean (41.5), s is the sample standard deviation (√2.25 = 1.5), and n is the sample size (13).

Plugging in the values, we get:

t = (41.4 - 41.5) / (1.5 / √13) = -0.316

Using a t-distribution table with 12 degrees of freedom (n-1), we find that the critical value for a two-tailed test at α=0.05 is ±2.179.

Since our calculated t-value (-0.316) falls within the range of -2.179 to +2.179, we fail to reject the null hypothesis. This means that we do not have sufficient evidence to conclude that the manufacturer's mpg rating is incorrect at the 0.05 level.

In conclusion, based on the sample data, we cannot say with 95% confidence that the manufacturer's claim of 41.5 mpg rating for their van is incorrect. However, it's worth noting that the sample mean is slightly lower than the claimed value, which could indicate a potential issue with the manufacturer's rating or some other factors affecting the fuel efficiency of the vans.

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Answer:

34.10

Step-by-step explanation:

Note:

16% = .16

Important:

What was the old price of the shoes

Solution:

40.60 x .16 = 6.946 [Round:6.50]

40.60-6.50= 34.10

Hence, the old price of the shoes is $34.10

\(a = 640s\)

\(a = 640(7.5)\)

\(a = 4800 \: \)

She owns 4800 acres.

Answer:

4,800 acres

Step-by-step explanation:

X = 3. 5y is an equation that shows the number of teaspoons of sugar, y, needed to make x tarts where a recipe 3.5 teaspoons of sugar are added to make a tart.

An equation is a mathematical sentence where we equalize two expressions using an equal sign. An expression refers to a phrase with two or more variables or numbers with any mathematical operation.

The situation given is a recipe 3.5 teaspoons of sugar is required to make a tart. Thus to calculate the number of teaspoons of sugar needed to make tarts, we have to multiply 3.5 by the number of teaspoons of sugar to make tarts

Thus if x is the number of tarts

y is the number of teaspoons of sugar

The equation is given by x = 3.5y

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Answer:

Step-by-step explanation:

Only true if they are on a straight line and they are the only angles on that line.

Therefore, the function g(x) is g(x) = 5x^3 + 5.

To find the function g such that f∘g = ln(5x^3 + 5), we need to determine the composition of f and g.

Given that f(x) = ln(x), we can substitute g(x) into the function f:

f(g(x)) = ln(g(x))

Now, we equate this composition to ln(5x^3 + 5):

ln(g(x)) = ln(5x^3 + 5)

To remove the natural logarithm, we exponentiate both sides:

g(x) = 5x^3 + 5

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Step-by-step explanation:

Given that,

The area of the square base, A = 36 cm²

Slant height, s = 12 cm

We need to find the lateral area of the regular pyramid. The formula is :

\(S=A+\dfrac{1}{2}p\times s\)

Where

A is the area of base

p is perimeter of base

s is slant height

Area of square, A = side²

So,

\(side=6\ cm\)

Put values in the above formula.

\(S=36+\dfrac{1}{2}\times 4\times 6\times 12\\\\=36+144\\\\=180\)

So, the lateral area of the regular pyramid is equal to 180 cm².

The value of f from the given expression is 3

Given the expression below

cos(22f-1) = sin(7f+4),

This can also be expressed

cos(22f-1) = cos(90-7f-4)

cos(22f-1) = cos(86-7f)

22f - 1 = 86 - 7f

Collect the like terms

22f+7f = 86 + 1

29f = 87

f = 3

Hence the value of f from the given expression is 3

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Answer:

3x is a single term

Step-by-step explanation:

The "3" is a coefficient. The "x" is the variable. is also a single term.

hope this helps

Answer:

7.12

Step-by-step explanation:

1.21×2=2.42

(1.21+1.21=2.42)

0.94×5=4.7

(0.94+0.94+0.94+0.94+0.94=4.7)

4.7+2.42=7.12

Answer:

13.5=x

Step-by-step explanation:

-3+6=2x-24

3=2x-24

+24   +24

___________

27=2x

÷2   ÷2

___________-

13.5 = x

Hope this helps :D

Answer:

Step-by-step explanation:

48÷192=0.25×100=25%

CME 303 is a course offered at Stanford University that focuses on modeling, simulation, and optimization of complex systems.

It is an introduction to the fundamentals of mathematical optimization, which deals with the problem of finding the best solution to a given problem. The course covers basic optimization theory and algorithms, including linear programming, integer programming, nonlinear programming, dynamic programming, and stochastic programming. Furthermore, it introduces optimization software packages, such as MATLAB, GAMS, and CPLEX, and how to use them for solving real-world optimization problems. It also covers the application of optimization techniques to areas such as finance, engineering, economics, and computer science.CME 303 is a course offered at Stanford University that focuses on modeling, simulation, and optimization of complex systems.  The course is taught using lectures, tutorials, and computer lab assignments. In the final project, students apply the techniques learned in the course to solve a real-world problem.

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Answer:

True

Step-by-step explanation:

Good luck! Take care

Answer:

I'm pretty sure it is true

Step-by-step explanation:

Answer:

1. 6/25

Step-by-step explanation:

30/125 wanted Steelers which simplifies to 6/25

Answer:

D.) 6/25

Step-by-step explanation:

125 students were surveyed

30 voted steelers

30/125 = 0.24

24%

or

6/25

Answer:

18

Step-by-step explanation:

60% of 30 is 18

Answer:

1 Kobocoin = 2.344999 Nigerian Naira (NGN)

Step-by-step explanation:

The possible lengths x for the side of square A. The possible lengths x for the side of the square is the interval [-7,7].

Since the area of a square is given by the formula A = x^2, where x is the length of the side, we can solve for x to find the possible lengths of a square with area 49 square feet or less.

A ≤ 49

x^2 ≤ 49

|x| ≤ 7

So the possible lengths for the side of the square are any values of x between -7 and 7, inclusive.

Therefore, the answer is: A. The possible lengths x for the side of the square is the interval [-7,7].

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Items: 1 Pen: 1.50

     3 DVDS: ???

Total : 22.50

It is A, 1.5+3d=22.5.

Hope this helps!!!

It is not B because you are not multiplying the number and cost of 3 DVDS by the cost of one pen.

It is not C because you are not subtracting to find the total cost. You are adding.

It is not D because 3d is part of the total cost so that option just doesn't make sense.

Step-by-step explanation:

1 month has 30 days

so 100 ÷ 30

so ans is 33.3 rupees for one day

MARK AS BRAINLIST IF IT IS USEFUL

After answering the provided question, we can conclude that The y-intercept in the context of the data represents the predicted test score for a student who did not study at all for the test.

"Scatter plots are graphs that show the relationship between two variables in a data set. Data points are represented by a two-dimensional plane or a Cartesian system. The independent variable or characteristic is represented by the X-axis, while the dependent variable is represented by the Y-axis. These plots are also known as scatter graphs or scatter diagrams."

The y-intercept of the line of fit is approximately 80 based on the scatter plot and line of fit.

The y-intercept in the context of the data represents the predicted test score for a student who did not study at all for the test.

It should be noted that this prediction is based on the linear relationship observed in the sample data and may not be applicable to the entire population. This prediction also assumes that all other factors influencing test performance (such as natural ability, prior knowledge, and test-taking skills) are constant, which may not be the case in real-world situations.

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Answer:

60; a student who studies for 0 hours is predicted to earn 60% on the test

Step-by-step explanation:

The measure of angle BAC is of 14.48º, considering the relations in a right triangle.

There are three relations in a right triangle, presented as follows:

Using a ruler, it is found that the length of the opposite side to angle BAC, of CB, is of 1.5 cm, hence the following relation is established, considering the hypotenuse of 6 cm.

sin(x) = 1.5/6

In which x is the measure of angle BAC.

x can be isolated applying the arc sine function, which is the inverse of the sine, hence:

x = arcsin(1.5/6)

x = 14.48º.

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Coordinates of point B are (5x₂+6x₁)/11 and (5y₂+6y₁)/11

What is the section formula in coordinate geometry?

When the line segment is divided internally in the ratio m:n, we use this formula.  That is when point C lies somewhere between points A and B. p= (mx₂+nx₁)/(m+n) & q= (my₂+ny₁)/(m+n)

Given here,  point B on AC such that the ratio of AB to AC is 5:6

Let the point B(p,q) internally divide the line joining points A(x₁, y₁) and C(x₂, y₂) in the ratio m : n , then,

p= (mx₂+nx₁)/(m+n)

q= (my₂+ny₁)/(m+n)

Here. m=5 and n=6

p=(5x₂+6x₁)/11 , q=(5y₂+6y₁)/11

Hence, the Coordinates of point B are (5x₂+6x₁)/11 and (5y₂+6y₁)/11

I hope this helps <3

Answer:

1) Min: (1, 8); Max: none

2) Min: none; Max: (2, 5)

Step-by-step explanation:

When you graph question 1 the relative lowest point is (1, 8), but there is no maximum as the graph seems to go infinitely up.

When you graph question 2 the relative highest point is (2, 5), but there is no minimum as the graph seems to infinitely go down.

I hope this helps :)

sorry ur on your own

Answer:

it is a becouase if you estimate (–25.31) to -25 and 9.61 to 10 / 25x10 would be 250 since -25.31 was negative it would be option A or -250

Step-by-step explanation:

Answer:

The cosine function to model the height of a water particle above and below the mean water line is h = 2·cos((π/30)·t)

Step-by-step explanation:

The cosine function equation is given as follows h = d + a·cos(b(x - c))

Where:

\(\left | a \right |\) = Amplitude

2·π/b = The period

c = The phase shift

d = The vertical shift

h = Height of the function

x = The time duration of motion of the wave, t

The given data are;

The amplitude \(\left | a \right |\) = 2 feet

Time for the wave to pass the dock

The number of times the wave passes a point in each cycle = 2 times

Therefore;

The time for each complete cycle = 2 × 30 seconds  = 60 seconds

The time for each complete cycle = Period = 2·π/b = 60

b = π/30 =

Taking the phase shift as zero, (moving wave) and the vertical shift as zero (movement about the mean water line), we have

h = 0 + 2·cos(π/30(t - 0)) = 2·cos((π/30)·t)

The cosine function is h = 2·cos((π/30)·t).