Give the null and alternative hypotheses in symbolic form that would be used in a hypothesis test of the following claim:
The mean time between "clicks" of the second hand on a particular clock is not 1 second.
a. H0: = 1 vs. H1: 1
b. H0: p = 1 vs. H1: p 1
c. H0: = 1 vs. H1:
d. none of these

Answer:

y=-192

Step-by-step explanation:

Answer:

9.40%

Step-by-step explanation:

Given:

Annual coupon rate = 11%

Time left to maturity = 11 years

Par value of bond = 1000

Present value of bond = 1153.60

Required: Find Yeild to Maturity (YTM)

To find the yield to maturity, use the formula below:

YTM = [Annual coupon+(Face value-Present value)/time to maturity]/(Face value+Present value)/2

where annual coupon = 1000 * 11% = 110

Thus,

[tex]YTM = \frac{\frac{110+(1000-1139.59}{9}}{\frac{(1000+1139.59)}{2}}[/tex]

YTM = 9.40%

Therefore the approximate YTM is 9.40%

Answer:

Hey there!

Circumference of a circle=0.5[tex]\pi[/tex]r

3.14=0.5[tex]\pi[/tex]r

1=0.5r

r=2

Hope this helps :)

Answer:

1/2 meter

Step-by-step explanation:

The circumference of a circle can be found using the following formula:

c= pi* 2r

We know that the circumference of the circle is 3.14 meters. Therefore, we can substitute 3.14 in for c.

3.14= pi* 2r

We want to find out what r, or the radius is. To do this, we must get r by itself.

First, divide both sides of the equation by pi, or 3.14. We divide because 2r is being multiplied by pi, and division is the inverse of multiplication.

3.14= pi* 2r

3.14/3.14=3.14* 2r/3.14

3.14/3.14=2r

1=2r

Next, divide both sides by 2. We divide because 2 and r are being multiplied, and the inverse of division is multiplication.

1/2=2r/2

1/2=r

0.5=r

The radius of the circle is 1/2 or 0.5 meters.

Answer:

301.44

Step-by-step explanation:

V=π r² h

V=π (4)² (12)

V= 603.19

divide by 2 to find half full: ≈ 301

301.44

Answer:

x < 4 or x = ( -∞, 4)

Step-by-step explanation:

or

[tex]\text{Solve the inequality for x:}\\\\6x-5<2x+11\\\\\text{Subtract 2x from both sides}\\\\4x-5<11\\\\\text{Add 5 to both sides}\\\\4x<16\\\\\text{Divide both sides by 4}\\\\\boxed{x<4}[/tex]

Answer:

I think it is

Step-by-step explanation:

Answer:

5n√2m^ - 3mn

Step-by-step explanation:

Answer:

The 95% confidence interval for the mean score, , of all students taking the test is

        [tex]28.37< L\ 30.63[/tex]

Step-by-step explanation:

From the question we are told that

    The sample size is [tex]n = 59[/tex]

    The mean score is  [tex]\= x = 29.5[/tex]

     The standard deviation [tex]\sigma = 5.2[/tex]

Generally the standard deviation of mean is mathematically represented as

                [tex]\sigma _{\= x} = \frac{\sigma }{\sqrt{n} }[/tex]

substituting values

               [tex]\sigma _{\= x} = \frac{5.2 }{\sqrt{59} }[/tex]

             [tex]\sigma _{\= x} = 0.677[/tex]

The degree of freedom is mathematically represented as

          [tex]df = n - 1[/tex]

substituting values

        [tex]df = 59 -1[/tex]

        [tex]df = 58[/tex]

Given that the confidence interval is 95%  then the level of significance is mathematically represented as

         [tex]\alpha = 100 -95[/tex]

        [tex]\alpha =[/tex]5%

        [tex]\alpha = 0.05[/tex]

Now the critical value at  this significance level and degree of freedom is

       [tex]t_{df , \alpha } = t_{58, 0.05 } = 1.672[/tex]

Obtained from the critical value table  

    So the the 95% confidence interval for the mean score, , of all students taking the test is mathematically represented as

      [tex]\= x - t*(\sigma_{\= x}) < L\ \= x + t*(\sigma_{\= x})[/tex]

substituting value

      [tex](29.5 - 1.672* 0.677) < L\ (29.5 + 1.672* 0.677)[/tex]

       [tex]28.37< L\ 30.63[/tex]

Answer:

C. acute angle

Step-by-step explanation:

As you know ,right angle is equal to 90 degrees so half of 90 degrees is 45 degree which is an acute angle (acute angles are the angles which are less than 90 degrees)

Hope this helps and pls mark as brainliest :)

Answer: acute

Step-by-step explanation:

An angle that is less than 90 degrees

Answer:

Step-by-step explanation:

To identify the null hypothesis, the null hypothesis is the default statement while the alternative hypothesis is the opposite of the null and always tested against the null hypothesis.

The alternative hypothesis depending on the case study can give rise to a one-tailed or a two-tailed test. The one tailed test includes either less than or greater than option and not both while the two tailed test involves both.

In this case study,

the null hypothesis is u1 (representing the city in particular) = u2 (representing other cities)

The alternative hypothesis is u1 (representing the city in particular) =/ u2 (representing other cities).

This, this test due to its not equal to sign is a two tailed test, the two results might differ maybe with one higher than the other, or lower than the other.

Answer:

  0.12 g/cm³

Step-by-step explanation:

Density is the ratio of mass to volume. The volume of the brownie is the cube of its side dimension:

  V = s³ = (5 cm)³ = 125 cm³

Then the density is ...

  ρ = M/V = (15 g)/(125 cm³) = 0.12 g/cm³

The density of the brownie is 0.12 g/cm³.

Answer:

see graph

Step-by-step explanation:

A reflection across the y-axis means the point is equal but opposite distance from the y-axis. This has no change on the y-value of the point, because no matter the y-value, the point will still be the same distance from the y-axis. Long story short, if you're reflecting across the y-axis, change the sign of the x-coordinate. If you're reflecting across the x- axis, change the sign of the y-coordinate.

Answer:

Step-by-step explanation:

Margin of error is expressed as M.E = [tex]z * \sqrt{\frac{\sigma}{n} }[/tex] where;

z is the z score at 95% confidence

[tex]\sigma[/tex] is the standard deviation

n is the sample size

Given n = 349, [tex]\sigma = 42[/tex] and z score at 95% confidence = 1.645

Substituting this values into the formula above we will have;

M.E = [tex]1.645*\sqrt{\frac{42}{349} }[/tex]

[tex]M.E = 1.645*\sqrt{0.1203} \\\\M.E = 1.645*0.3468\\\\M.E = 0.5705 (to\ four\ dp)[/tex]

Answer:

C(5, 4)

Step-by-step explanation:

The rule for a reflection over the y -axis is (x,y)→(−x,y) .

Answer:

(5, 4)

Step-by-step explanation:

when you reflect off the y-axis, you switch (x,y) to (-x,y)

So

(-5, 4) --> (5, 4)

Hope this helps,

Feel free to ask more questions if I need to explain more.

Answer:

[tex](B) \dfrac12H (B+D)[/tex]

Step-by-step explanation:

[tex]\text{Area of a trapezoid }= \dfrac12 ($Sum of the parallel sides) \times $Height\\Parallel Sides = B and D\\Height =H\\Therefore:\\\text{Area of the trapezoid }= \dfrac12 (B+D) H[/tex]

The correct option is B.

Answer:

x = 1

Step-by-step explanation:

Set up the rational expression with the same denominator over the entire equation.

Since the expression on each side of the equation has the same denominator, the numerators must be equal

5x =4x+1

Move all terms containing x to the left side of the equation.

Hope this can help you

Answer:

you would change it 4 times a year

Step-by-step explanation:

if there is 12 months in a year and 3 mounths equal 6000 then divide 12/3=4

The correct answer is B. 40,320

Explanation:

In mathematics, a permutation refers to all the possible ways of arranging objects or elements in a set, while still considering an order. For example, you can calculate all the possible ways 5 athletes can end in a race as one athlete cannot have both the first and third place. The expression [tex]{8}[/tex][tex]P_{7}[/tex] shows a permutation because the P indicates the expression refers to a permutation. Additionally, this can be solved by using the formula [tex]{n}[/tex][tex]P_{r}[/tex]  =[tex]\frac{n!}{(n-r)!}[/tex]. This means, in the expression presented n = 8 while r = 7. Also, the symbol (!) indicates the number should be multiplied using all whole numbers minor to the given number until you get to 1, which is known as factorial functions. The process is shown below:

[tex]{8}[/tex][tex]P_{7}[/tex] = [tex]\frac{8 x 7 x 6 x 5 x 4 x 3 x 2 x 1}{1}[/tex]   or  8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 / 1

[tex]{8}[/tex][tex]P_{7}[/tex] = 40320

Answer:

A =625 ft^2

Step-by-step explanation:

The perimeter of a square is

P = 4s where s is the side length

100 =4s

Divide each side by 4

100/4 = 4s/4

25 = s

A = s^2 for a square

A = 25^2

A =625

Answer:

25%

Step-by-step explanation:

First you have the fraction of 3/12 and need to turn it into a decimal. So to do that you divide 3 by 12 = 0.25. So your percent is 25%

Answer:

Step-by-step explanation:

4 = y - 4

Group the constants at the left side of the equation

That's

4 + 4 = y

Add the constants

Hope this helps you

Answer:

y=8

Step-by-step explanation:

To solve this equation, we need to find out what y is.

4= y-4

Therefore, we must get y by itself on one side of the equation.

4 is being subtracted from y. The inverse of subtraction is addition. Add 4 to both sides of the equation.

4+4=y-4+4

4+4=y

8=y

y=8

Let's check our solution. Plug 8 back in for y.

4= y-4

4= 8-4

4=4

The equation above is true, so we know our answer is correct.

Answer:

[tex]P ( t ) = \frac{9100.024}{1 + 55.875e^-^1^.^1^3^5^0^6^*^t}[/tex]

Step-by-step explanation:

Solution:-

- We are given a logistic growth model of the fish population cultured. The logistic growth of fish population is modeled by the following equation:

                         [tex]P ( t ) = \frac{c}{1 + 55.875e^-^ 1^.^1^3^5^0^6^t}[/tex]

Where,        c: the constant to be evaluated.

- We are given the initial conditions for the model where at t = 0. The initial population was given to be:

t = 0 ,              Po = 160

                       N ( carrying capacity ) = 9100

- After a year, t = 1. The population was tripled from the initial value. That is P ( 1 ) = Po*3 = 160*3 = 480.

- We will use the given logistic model and set P ( 1 ) = 480 and determine the constant ( c ) as follows:

                           [tex]P ( 1 ) = \frac{c}{1 + 55.875e^-^ 1^.^1^3^5^0^6^*^1} = 480\\\\c = 480* [ 1 + 55.875e^-^ 1^.^1^3^5^0^6]\\\\c = 9100.024[/tex]

- The complete model can be written as:

                            [tex]P ( t ) = \frac{9100.024}{1 + 55.875e^-^1^.^1^3^5^0^6^*^t}[/tex]

Answer:

[tex] y'' =12x^2 -72=0[/tex]

And solving we got:

[tex] x=\pm \sqrt{\frac{72}{12}} =\pm \sqrt{6}[/tex]

We can find the sings of the second derivate on the following intervals:

[tex] (-\infty<x< -\sqrt{6}) , y'' = +[/tex] Concave up

[tex]x=-\sqrt{6}, y =-180[/tex] inflection point

[tex] (-\sqrt{6} <x< \sqrt{6}), y'' =-[/tex] Concave down

[tex]x=\sqrt{6}, y=-180[/tex] inflection point

[tex] (\sqrt{6}<x< \infty) , y'' = +[/tex] Concave up

Step-by-step explanation:

For this case we have the following function:

[tex] y= x^4 -36x^2[/tex]

We can find the first derivate and we got:

[tex] y' = 4x^3 -72x[/tex]

In order to find the concavity we can find the second derivate and we got:

[tex] y'' = 12x^2 -72[/tex]

We can set up this derivate equal to 0 and we got:

[tex] y'' =12x^2 -72=0[/tex]

And solving we got:

[tex] x=\pm \sqrt{\frac{72}{12}} =\pm \sqrt{6}[/tex]

We can find the sings of the second derivate on the following intervals:

[tex] (-\infty<x< -\sqrt{6}) , y'' = +[/tex] Concave up

[tex]x=-\sqrt{6}, y =-180[/tex] inflection point

[tex] (-\sqrt{6} <x< \sqrt{6}), y'' =-[/tex] Concave down

[tex]x=\sqrt{6}, y=-180[/tex] inflection point

[tex] (\sqrt{6}<x< \infty) , y'' = +[/tex] Concave up

Answer:

work shown and pictured

Answer:

x= -1  y = 1

Step-by-step explanation:

Answer:

96 square units

Step-by-step explanation:

The surface area of the prism can be calculated using its net.

The net consists of 3 rectangles and 2 triangles.

The surface area = area of the 3 rectangles + area of the 2 triangles

Area of 3 rectangles:

Area of 2 rectangles having the same dimension = 2(L*B) = 2(7*3) = 2(21) = 42 squared units

Area of the middle triangle = L*B = 7*6 = 42 square units.

Area of the 3 triangles = 42 + 42 = 84 square units.

Area of the 2 triangles:

Area = 2(½*b*h) = 2(½*6*2) = 6*2

Area of the 2 triangles = 12 square units

Surface area of the triangular prism = 84 + 12 = 96 square units.

Answer:

It's 96 unit2

Step-by-step explanation:

I just do it in khan and it's correct

I believe the value is negative 4. If not, well, try any negative below that, such as -5,6,7,8, etc.

Answer:

y is less than -3

Step-by-step explanation:

To do this you would just subtract 9 from both sides so you get -y is greater than 3. Since you cannot have y as a negative number you will divide -1 from both sides but when you do that you will have to flip the sign so you get y is less than -3.

Answer:

Step-by-step explanation:

Choice d. is correct

Answer:

D

Step-by-step explanation:

Answer:

the probability that the sample mean will be larger than 1224 is  0.0082

Step-by-step explanation:

Given that:

The SAT scores have an average of 1200

with a  standard deviation of 60

also; a sample of 36 scores is selected

The objective is to determine  the probability that the sample mean will be larger than 1224

Assuming X to be the random variable that represents the SAT score of each student.

This implies that  ;

[tex]S \sim N ( 1200,60)[/tex]

the probability that the sample mean will be larger than 1224 will now be:

[tex]P(\overline X > 1224) = P(\dfrac{\overline X - \mu }{\dfrac{\sigma}{\sqrt{n}} }> \dfrac{}{}\dfrac{1224- \mu }{\dfrac{\sigma}{\sqrt{n}} })[/tex]

[tex]P(\overline X > 1224) = P(Z > \dfrac{1224- 1200 }{\dfrac{60}{\sqrt{36}} })[/tex]

[tex]P(\overline X > 1224) = P(Z > \dfrac{24 }{\dfrac{60}{6} })[/tex]

[tex]P(\overline X > 1224) = P(Z > \dfrac{24 }{10} })[/tex]

[tex]P(\overline X > 1224) = P(Z > 2.4 })[/tex]

[tex]P(\overline X > 1224) =1 - P(Z \leq 2.4 })[/tex]

From Excel Table ; Using the formula (=NORMDIST(2.4))

P(\overline X > 1224) = 1 -  0.9918

P(\overline X > 1224) = 0.0082

Hence;  the probability that the sample mean will be larger than 1224 is  0.0082

Answer:

sorry i am not able to understood

Step-by-step explanation:

Answer:

a)13 b)no because at 18th term its -345