A random sample of n = 45 observations from a quantitative population produced a mean x = 2.5 and a standard deviation s = 0.26. Your research objective is to show that the population mean μ exceeds 2.4. Calculate the p-value for the test statistic z = 2.58. (Round your answer to four decimal places.)

Answer:

  2

Step-by-step explanation:

For a quadratic function the average rate of change on an interval is the rate of change at the midpoint of the interval. The rate of change of a function is given by its derivative.

The derivative of f(x) = x^2 is f'(x) = 2x. The midpoint of the interval is (4+(-2))/2 = 1. Then the average rate of change is ...

  f'(1) = 2(1) = 2

The average rate of change of f(x) on [-2, 4] is 2.

__

Alternate solution

The average rate of change is the slope of the line between the end points of the interval:

  m = (y2 -y1)/(x2 -x1)

  m = (f(4) -f(-2))/(4 -(-2)) = (20 -8)/(6) = 2

The average rate of change on [-2, 4] is 2.

_____

The attached graph shows the points on the curve and a line with slope 2 between them. It also shows the various slope calculations.

Answer:

The Pythagorean Theorem is a helpful tool that best explains whether a triangle with side lengths 2 inches, 5 inches, and 4 inches is an acute triangle or an obtuse type of triangle. Under the Pythagorean Theorem, a certain triangle is an acute triangle if a^2 + b^2 is greater than c^2.

Step-by-step explanation:

im not sure if this helps but....

Triangle with side 2 in , 4 in and 5 in is an Obtuse angled triangle; it is not an Acute angles triangle.

If all of three angles of a triangle are < 90° then triangle is acute.

If one of the angle is of 90°  then the triangle is right angled triangle.

If one of the angle is  > 90°  then triangle is called obtuse triangle.

How to identify if a triangle is acute, right angled or obtuse?

Let we have:

H = biggest side of the triangle

And let we get  A and B as rest of the two sides.

Then we get:

If A^2+B^2 > H^2  , then triangle is obtuse

Given:

Length of the sides of the triangle; 2 , 5 and 4inches

If a , b and c is sides of the triangle such that c is the longest side then;

1). if c² > a² + b² implies that triangle is Acute angled.

2). if c² = a² + b²  implies that triangle is Right angled.

3). if c² < a² + b²  implies that triangle is Obtuse angled.

We have, a = 2 in , b = 4 in  and c = 5 in

So, c² = 5² = 25

a² + b² = 2² + 4² = 4 + 16 = 20

therefore; c² > a² + b²

Therefore, Triangle with side 2 in , 4 in and 5 in is an Obtuse angled triangle. It is not an Acute angles triangle.

Learn more about the triangles;

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Answer:4

Step-by-step explanation:

Answer:

:P

Step-by-step explanation:

Answer:

See the attached chart! This was mostly produced by trial and error!

Answer:

hey your answer is that

16, 24, 48, 32 and eigth go in factors 96 this is because 96 is divisible by 8

the factors of 36 an 9 and 18 this is because 36 is divisible by 9

Step-by-step explanation:

hope this helps

Answer: Si ellas son complementarias

Step-by-step explanation: Sorry not so good at spanish

Hoped this helped!!!!!

23x^6=()+(3x^6)=

We move all terms to the left:

23x^6-(()+(3x^6))=0

The value of the unknown in the algebraic equation is 120.

Algebra is the branch of mathematics, that deals with the representation of numbers and values with alphabets and symbols.

An algebraic equation is an equation containing an algebraic term in it.

From the given question,

Let the blank  be represented by x,

23 * 6 = x + (3 *6)

Multiply the numbers on the left side of the equation.

138 = x + (3 *6)

Multiply the expression inside bracket.

138 = x + 18

Solve the equation for x.

x = 138 - 18

x = 120

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Answer:

The answer for standard deviation would be:

4.382

Answer:

Quadrilaterals or Quadrilateral

Step-by-step explanation:

Quadrilateral = rectangle, parallelogram, square, and rhombus​!

Answer:

Step-by-step explanation:

To determine the PMF of the points that the team receive, we must determine the probabilities of winning each of the games.

Consider the firt game. We know that the probability of not losing is 0.4. Since the team can either lose the game or not, we have that the probability of losing it is 0.6. We are told that given that the team does not lose, the probability of winning or having a tie is the same. Recall that, given events A, B, the conditional probability P(A|B) (which means probability of A given B) is given as

[tex]P(A|B) = \frac{P(A\cap B)}{P(B)}[/tex]

in our case, we have that B:= not losing the game. Consider A:= To win the game, C:= To tie the game. We know that P(A|B)=P(C|B). When the team doesn't lose, then the team either ties or wins, this means that

[tex]P(A|B)+P(C|B) = 1[/tex]

So we get that P(A|B) = P(C|B) = 1/2. Let us find P(A)

[tex]P(A|B) = \frac{P(A\cap B)}{P(B)} = \frac{P(A)}{P(B)}=\frac{1}{2}[/tex]

Then [tex]P(A) = \frac{P(B)}{2} = 0.2[/tex]. By an analogous calculation we have that P(A) = P(C) = 0.2.

We will define the following events: [tex]W_i[/tex] is the event that the team wins the game i, [tex]T_i[/tex] is the event that the team ties the game i and [tex]L_i[/tex] is the event that the team loses the game i. In this notation, we have that

[tex]P(W_1) = P(T_1) = 0.2, P(L_1) = 0.6[/tex]

By reasoning the same way for the second game, we can calculate that

[tex]P(W_2)=P(T_2)=0.35, P(L_2) = 0.3[/tex]

To calculate the PMF we must check all the possible outcomes of the results of both games. Since we can either win (W), tie(T) or lose(L) a game, we will express the outcome as follows TW(3) means that the team ties  the first game and wins the second one, for a total of points. In this way, the possible outcomes are

WW(4), WT(3), WL(2), TW(3), TT(2), TL(1), LW(2), LT(1), LL(0)

We see that the number of possible points are 0,1,2,3,4. Let X be the number of points, to get the pmf of X is to give the probability P(X=k) for k=0,1,2,3,4 explicitly. Note that since each game is independent of each other, to get the probability of one of the outcomes it suffices to multiply the probability of each event. For example we have that [tex]P(WW) = P(W_1)\cdotP(W_2) = 0.07[/tex]

Then, the pmf is given by

[tex]P(X=0) = P(LL) = 0.18[/tex]

[tex]P(X=1)=P(LT)+P(TL) = 0.27[/tex]

[tex]P(X=2)=P(LW)+P(TT)+P(WL) = 0.34[/tex]

[tex]P(X=3)=P(WT)+P(TW) = 0.14[/tex]

[tex]P(X=4)=P(WW)= 0.07[/tex]

Answer:

cos L = 55/73

Step-by-step explanation:

The triangle KLM is a right angle triangle. The ∠M = 90°. The side KM = 48, LK = 73, and ML = 55. The ratio that represents the cosine of ∠L can be solved below.

The right angle triangle formed has an hypotenuse , opposite and an adjacent side. Using the SOHCAHTOA principle one can find the ratio that represent the cosine of ∠L.

opposite side = 48

adjacent = 55

hypotenuse = 73

cos L = adjacent/hypotenuse

cos L = 55/73

Answer:

is there a picture?

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

i got it right ...

trust me or don’t :)

Answer:

2x3 - x2 - 50x + 25

Step-by-step explanation:

So the first thing you would do is multiply (x - 5)(x + 5)

x2 + 5x - 5x - 25

then you would simplify

x2 - 25

then you would multiply it by 2x - 1

(x2 - 25)(2x - 1)

2x3 - x2 - 50x + 25

so your answer is  

2x3 - x2 - 50x + 25

Answer:

17 i would say it is D

18 i belive it is B

19 it is c

20 A

Answer:

y=24x+50

24= per month

x= months attended

50=member fee

c

All the information you need is in the quadratic trinomial ... Read from right to left:

Find factors of 49 which ADD (+) to give 14.

These will be  7 and 7  because: 7 × 7 = 49 and 7 + 7 = 14

The + sign shows that the signs in the brackets will be the SAME, the minus (-) shows that they will be negative:

( x − 7 ) ( x − 7 ) = ( x − 7 ) 2

Answer:

2 divided

Step-by-step explanation:

Answer: 0.2119

Step-by-step explanation:

Find the z-score.

(x - μ)/σ

The equation would be:

(137-133)/5 = 0.8

p-value = 0.7881

Subtract that from 1.

1 - 0.7881 = 0.2119

Answer:

69

Step-by-step explanation:

Answer:

x > 25

Step-by-step explanation:

x+25> 50

Subtract 25 from each side

x+25-25 >50-25

x > 25

Answer:

x>25

Step-by-step explanation:

x+25>50

1. Subtract 25 from both sides of the equation

x+25>50

  -25  -25

x>25

Answer:1.197654 10 12

Step-by-step explanation:

Answer:

:1.197654 10 12

Step-by-step explanation:

Answer:

Time taken is 0.897 sec and distance traveled is 56.36 mm

Step-by-step explanation:

It is given radius of the coin r = 10 mm

Angle measure [tex]\theta =360^{\circ}[/tex]

In radian it will be equal to

[tex]\theta =360^{\circ}\times \frac{\pi }{180}[/tex]

[tex]=2\pi =6.28radian[/tex]

Angular velocity = 78 rev/sec

It is known that [tex]\theta =\alpha t[/tex]

Therefore [tex]6.28=7\times t[/tex]

t = 0.897 sec

Now distance traveled will be equal to

[tex]d=2\pi r\times t[/tex]

[tex]=20\times 3.14\times 0.897[/tex]

[tex]=56.36mm[/tex]

Therefore time taken is 0.897 sec and distance traveled is 56.36 mm

Answer:

60

Step-by-step explanation:

Answer:

30 > x

Step-by-step explanation:

-13 > x-43

Add 43 to each side

-13+43 > x-43+43

30 > x

A prime number is a special number because it means that it only has one factor pair and that factor pair is always 1 and the number itself.

In other words, prime numbers are the numbers

divisible by 1 and the number itself.

For example, let us take 2.

2 has only two factors and those are 1 and 2 so it's prime.

Similarly, 7 is also a prime number because it has only two factors

and these are 1 and the number itself which is 7.

Answer:

A number that is only divisible by itself and 1

Step-by-step explanation:

Answer:

(8, 6)

Step-by-step explanation:

First, we find the distance between the two points.

Both have the same x-coordinate, 8, so the distance is simply the difference in y.

|11 - 1| = 10

The distance between the points is 10.

Since the radius of the circle is 5, the greatest distance between two points on the circle is 10, and the two points must be the endpoints of a diameter.

The midpoint of a diameter is the center of the circle.

(1 + 11)/2 = 12/2 = 6

The center o the circle is (8, 6).

Answer:

Option B

Step-by-step explanation:

Although the difference is quite small (72 seconds—or just over a minute), the effect was statistically significant (P-value < 0.0001).

Since the P-value was less than 0.0001, the null hypothesis in this case can be rejected (H₀: ∪=12.3), concluding that the startup company has moderate/enough evidence that their AAA batteries last longer, on average.

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 12.3

For the alternative hypothesis,

µ > 12.3

This is a right tailed test.

The decision rule is to accept the null hypothesis if the significance level is lesser than the p value and reject the null hypothesis if the significance level is greater than the p value.

Let us assume a significance level of 0.05.

Since alpha, 0.05 > than the p 0.0001, then we would reject the null hypothesis.

The correct option would be

A) The startup company has strong evidence that their AAA batteries last longer, on average.

Answer:

No

Step-by-step explanation:

In order to construct a triangle sum of the lengths of any two sides must always be greater than the third side.

Here,

[tex]6 + 6 = 12 \ngtr \: 15 \\ [/tex]

Hence, it is not possible to form a triangle with side lengths of 15,6, and 6.