Maria has two routes, E and W, she can take when commuting to work. Both routes go through a railroad crossing, and sometimes she needs to stop at the crossing to allow trains to pass. She claims that the proportion of times she needs to stop when taking route E is different from the proportion of times she needs to stop when taking route W. She conducted the following hypothesis test at the significance level of α=0.10.

H0: pE=pW
Ha: pE≠pW
In the hypotheses, pE represents the proportion of times she needs to stop at the crossing when using route E, and pW represents the proportion of times she needs to stop at the crossing when using route W.

All conditions for inference were met, and the resulting p-value was 0.37. Which of the following is the correct decision for the test?


The p -value is less than alpha , and the null hypothesis is rejected. There is convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is different for the different routes.

The p -value is greater than alpha , and the null hypothesis is not rejected. There is convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is the same for the different routes.

The p -value is greater than alpha , and the null hypothesis is rejected. There is not convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is different for the different routes.

The p -value is greater than alpha , and the null hypothesis is not rejected. There is not convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is different for the different routes.

The p-value is greater than α, and the null hypothesis is rejected. There is convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is different for the different routes.

Answer: right answer is 23

Step-by-step explanation:

Answer:

x=3+√2 or x=3−√2

Step-by-step explanation:

For this equation: a=1, b=-6, c=7

1x2+−6x+7=0

Step 1: Use quadratic formula with a=1, b=-6, c=7.

x=

−b±√b2−4ac

2a

x=

−(−6)±√(−6)2−4(1)(7)

2(1)

x=

6±√8

2

x=3+√2 or x=3−√2

Answer:

It is not possible to draw a triangle with given measurements of 3.5, 3.5, and 9.

Step-by-step explanation:

Scalene Triangle - All 3 sides have different lengths.

Isosceles Triangle - 2 sides have equal lengths.

Equilateral Triangle - All 3 sides have equal lengths.

You must be thinking that it would be Isosceles triangle, but it is not. The measurements you gave is 3.5, 3.5, and 9. Grab a piece of paper, ruler, and a pencil. First draw the length of 9 cm with your pencil and ruler (let us pretend that the measurements are in cm). Then draw 3.5 cm by placing your ruler on the end/start of your 9cm line that you drew before. Then, once again draw a 3.5 cm on the other end of the 9cm line. You will see something like the picture above. You can see that the two sides of the triangle are not intersecting on the top. This means that the triangle formation cannot be made by the given measurements of 3.5, 3.5, and 9.

I hope you understand my answer and this is an easy way to find if, from the given measurements, a triangle is able to be drawn. Thank you !!

The given side lengths, 3.5 3.5, and 9, cannot form a triangle.

Given the side lengths, 3.5 3.5, and 9:

3.5 + 3.5 (7) is not greater than 9

Thus, we can conclude that the given side lengths, 3.5 3.5, and 9, cannot form a triangle.

Learn more about triangle inequality theorem on:

https://brainly.com/question/2403556

Answer:

1,330.5 cm³

Step-by-step explanation:

Volume of cylinder = πr²h

Where,

r = ½ of 11 = 5.5

h = 14 cm

Plug in the values

Volume = π × 5.5² × 14

Volume = π × 423.5

Volume = 1,330.5 cm³ (1 d.p)

Answer:

3x+11y+5

false

true

false

true

true

false

Answer:

2y and 9y are like terms

3x is a term

5 is a constant

Step-by-step explanation:

To answer this question, you need to know the definitions of terms, like terms, factors and coefficient.  

q= 6

r= 7

work--

Multiply 1st column by -2:

-30q+8r=-124

5q+8r=86

Subtract 2nd column from the first column:

-35q= -210

Solve for q:

q=6

Subtract q=6 by any of the two equations, so:

-30q+8r=-124

-30*6+8r=-124

Solve for r:

r=7

Answer:

The function that could be the function described is;

[tex]f(x) = -10 \cdot cos \left (\dfrac{2 \cdot \pi }{3} \cdot x \right ) + 10[/tex]

Step-by-step explanation:

The given parameters of the cosine function are;

The period of the cosine function = 3

The maximum value of the cosine function = 20

The minimum value of the cosine function = 0

The general form of the cosine function is presented as follows;

y = A·cos(ω·x - ∅) + k

Where;

[tex]\left | A \right |[/tex] = The amplitude = Constant

The period, T = 2·π/ω

The phase shift, = ∅/ω

k = The vertical translation = Constant

Therefore, by comparison, we have;

T = 3 = 2·π/ω

∴ ω = 2·π/3

The range of value of the cosine of an angle are;

-1 ≤ cos(θ) ≤ 1

Therefore, when A = 10, cos(ω·x - ∅) = 1 (maximum value of cos(θ)) and k = 10, we have;

y = A × cos(ω·x - ∅) + k

y = 10 × 1 + 10 = 20 = The maximum value of the function

Similarly, when A = 10, cos(ω·x - ∅) = -1 (minimum value of cos(θ)) and k = 10, we get;

y = 10 × -1 + 10 = 0 = The minimum value of the function

Given that the function is a reflection of the parent function, we can have;

A = -10, cos(ω·x - ∅) = -1 (minimum value of cos(θ)) and k = 10, to get;

y = -10 × -1 + 10 = 20 = The maximum value of the function

Similarly, for cos(ω·x - ∅) = 1 we get;

y = -10 × 1 + 10 = 0 = The minimum value of the function

Therefore, the likely values of the function are therefore;

A = -10, k = 10

The function is therefore presented as follows;

y = -10 × cos(2·π/3·x) + 10

Answer:

10

Step-by-step explanation:

Answer:

10, -10, [tex]\sqrt{100} =10[/tex]

Step-by-step explanation:

id k if you are asking for the absolute value, but I hope this helps.

Answer:

i would not rlly know what my growth factor is actually

Step-by-step explanation:

Finding the rate of the weight gain, we divide the total weight gained with the total number of months that took to gain that weight.

Total time (months) = 0.5 + 2 + 3.5 = 6 months

Total weight (kg) = 80.6 + 88.4 + 96.2 = 265.2 kilograms

Rate = Kg ÷ Months

Rate = 265.2 ÷ 6 = 44.2

44.2 kilograms per month​

Cheers!

Answer:

78 kilograms

Step-by-step explanation:

khan told me

Answer:

1,182

Step-by-step explanation:

Answer:

1182

Step-by-step explanation:

Answer: 50km/hour

Step-by-step explanation:

Answer:

50 km an hour

Step-by-step explanation:

if the person is traveling 100 km an hour, we can divide the distance by the time, to find out how fast they were traveling

100 divided by 2 = 50

the person was traveling 50 km an hour

Answer:Ok 19$ fortnite card. Who wants it!, and yes I am giving it away, and remember, share, share, share, and trolls, don't get blocked!

Step-by-step explanation:

Answer:

13.5

Step-by-step explanation:

Answer:

B. 10

Step-by-step explanation:

Addition. use you finger and try to count like that. :)

9514 1404 393

Answer:

  $112

Step-by-step explanation:

The amount of interest is given by the formula ...

  I = Prt

where P is the principal earning interest at annual rate r for t years.

  I = $400 · 0.08 · 3.5

  I = $112

The amount would earn $112 in interest by the end of 3 1/2 years.

Answer:

same

Step-by-step explanation:

Answer:

The answer is 9.2

Step-by-step explanation:

Answer:

Y=-1

Step-by-step explanation:

The slope of line is zero

Answer:

Please check the explanation.

Step-by-step explanation:

Given the English statement

''The sum of two and number is less than five''.

Let us breakdown the statement.

We know that the less than symbol is denoted by '<' which is used for comparison.

Thus, the statement 'The sum of two and a number is less than five' is algebraically represented as:

Let us solve the algebraic expression.

[tex]2+n<5[/tex]

Subtract 2 from both sides

[tex]2+n-2<5-2[/tex]

Simplify

[tex]n<3[/tex]

Thus, the solution is:

[tex]2+n<5\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:n<3\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:3\right)\end{bmatrix}[/tex]

Please also check the attached solution line graph.

Answer:

x ≈ ±2.1407

Step-by-step explanation:

0.5(x⁴ - 9) + 15 = 0

Distribute the 0.5 across the parentheses.

0.5x⁴ - 4.5 + 15 = 0

Combine the constants.

0.5x⁴ + 10.5 = 0

Subtract 10.5 from both sides.

0.5x⁴ = -10.5

Divide both sides by 0.5.

x⁴ = 21

Take the fourth root of 21.

⁴√21 ≈ ±2.1407

x ≈ ±2.1407

Answer:

Right

Step-by-step explanation:

There is a side that is 90 degress

Answer:

54

Step-by-step explanation:

Answer:

13.6 gallons

Step-by-step explanation:

Miles Driven = Gallons Burnt * Miles Per Gallon

So if yo drive 20.88 miles on one gallon how many gallons does it take to drive 284 miles.  This is 284/20.88 = 13.6 gallons

Whilst the numerical answer is correct the previous answer, it does not maintain the validity of the units - in which things are measured.  You will see this is very important in science

What can we learn from this.  As an intermediate step we have learnt that the car does 20.88 mpg, lets call it 21.  So a car that has a sticker at the show room with an MPG of more than 21 will consume less gas and one that has a smaller mpg will consume more.

Answer:

times 2

Step-by-step explanation:

2×2=4

-7×2=-14

which is why the scale factor is times 2

Answer:

d. 24

Step-by-step explanation:

a

Step-by-step explanation:

multiple

6times 3--16

The short answer is that algebra doesn't work that way. You wouldn't divide *everything* by 2, but every term that contains a factor of 2.

In the expression

2 (6x - 1) + 2 (2x + 5)

both terms have a factor of 2 (the 2 out in front of them). They're the ones that get canceled when dividing by 2:

(2 (6x - 1) + 2 (2x + 5)) / 2 = 2/2 (6x - 1) + 2/2 (2x - 5)

… = 1 (6x - 1) + 1 (2x - 5)

… = (6x - 1) + (2x - 5)

and so on.

Looking ahead, it turns out that the equation is solved by x = 7. This makes 6x - 1 = 41 and 2x + 5 = 19. So the equation is saying that, if you make these replacements,

2×41 + 2×19 = 120

If you divide *everything* on the left by 2, you end up with fractions:

(2/2)×(41/2) + (2/2)×(19/2) = 41/2 + 19/2

but 41 + 19 = 60, so the end result would be 30, but that's not the same as 120/2 = 60.