URGENT PLEASE HELP simplify (3^8 / 3^5)^3

Using the t-distribution, it is found that:

a)

The null hypothesis is: [tex]H_0: \mu \geq 60[/tex]

The alternative hypothesis is: [tex]H_1: \mu < 60[/tex]

b) t = -1.47

c) 0.0878.

d) Do not reject the null hypothesis.

e) Not enough evidence to conclude that the average maximum amount of time people can hold their breath is less than 60 seconds.

Item a:

At the null hypothesis, it is tested if the mean is not less than 60 seconds, that is:

[tex]H_0: \mu \geq 60[/tex]

At the alternative hypothesis, it is tested if the mean is less than 60 seconds, that is:

[tex]H_1: \mu < 60[/tex]

Item b:

We can find the standard deviation for the sample, hence, the t-distribution is used to solve this question.

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

With the help of a calculator to find the sample mean and the standard deviation, the values of the parameters are:

[tex]\overline{x} = 55.8, \mu = 60, s = 9.04, n = 10[/tex]

Hence, the value of the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{55.8 - 60}{\frac{9.04}{\sqrt{10}}}[/tex]

[tex]t = -1.47[/tex]

Item c:

The p-value is found using a left-tailed test, as we are testing if the mean is less than a value, with 10 - 1 = 9 df and t = -1.47.

Item d:

The p-value is of 0.0878 > 0.05, hence, we do not reject the null hypothesis.

Item e:

Since the null hypothesis is not rejected, there is not enough evidence to conclude that the average maximum amount of time people can hold their breath is less than 60 seconds.

A similar problem is given at brainly.com/question/24826023

Answer:

16/100 = 4/25

Step-by-step explanation:

4/10 * 4/10 = 16/100

The answer is C, 4 to the 21st over 5 to the 6th power.

Answer:

24

Step-by-step explanation:

13,14,18,21,22,26,32,39,39,42

middle is 22 and 26

therefore you add and divide by 2

then you'll get 24

Answer:

d. √25 is a rational number

Answer:

rise over run

Step-by-step explanation:

you look at the distance between the 2 points by looking at how many points its goes up or down, and you look at how points it goes from the left to the right or vice versa. but if you don't have a graph to look at, you will want to use the slope formula. look up the slope formula and plug it in.

Answer:

Step-by-step explanation:

From the point one on the graph, you go up (rise) making loops each time you go up (shown in red) then, once you've reached the same hight of point two, you go over (run), making loops once again (shown in blue). Then, you take the rise and put it over the run, so in the image attached it would be 4/3.

Answer:

128

Step-by-step explanation:

Answer:

3.0

4.5

6.0

7.5

Step-by-step explanation:

it rains at the rate of 1.5cm per hour

In two hours, the amount will be; 1.5 × 2

= 3cm

in the three hours, the amount will be 1.5×3

=4.5cm

in four hours, the amount will be; 1.5×4

=6cm

in five hours, the amount will be; 1.5×5

=7.5cm

Answer:

b

Step-by-step explanation:

one trip = 2724 miles

one round trip = 2 trips = 2724 * 2 = 5448 miles

We want to see how many round trips go into the miles needed for a free flight. We want to see how many times 5448 goes into 25000. To do this, we can use division.

25000/5448 ≈ 4.6

If we only have 4 round trips, it will not be enough for 4.6, so we will not be able to obtain a free flight. If we have 5, we will be able to, as 5 > 4.6

Answer:

y=48

Step-by-step explanation:

180-135=55-7=y=48

Answer:

78300 rounded to the nearest hundred is 78300.00 it would basically be the sam thing as 78300

Step-by-step explanation:

Hope this helps :)

Step-by-step explanation:

False, the moon weight is 1/6 of Earth weight. Let y our Earth weight, and let x be our moon weight. We can write this as y=6x.

Answer:

B : x € (-∞, 1)

Step-by-step explanation:

we have 4x +9 -2 +3x < 14

7x +7 < 14

7(x+1) < 14

x + 1 < 2

x < 1

=> x € (-∞, 1)

Answer:

14r

Step-by-step explanation:

since there are 14 members and each sold r tickets r x 14 which is 14r

Answer:

[tex]\sqrt{\frac{5}{2} }[/tex]

Step-by-step explanation:

We know that this is a 45-45 triangle. Where there are two angles that are 45 degrees and the other angle is a right angle (90 degrees).

The sides are a, b (which equals a) and, c (which equals a*square root of 2).

In this triangle we are given c, and tasked at finding a. Since c= [tex]a*\sqrt{2}[/tex], then we know that, [tex]\sqrt{5}= a*\sqrt{2}[/tex].  Divide the equation by square root of 2 to find a. Which equals [tex]\sqrt{\frac{5}{2} }[/tex]

Answer:

45°, 63°, 72°

Step-by-step explanation:

The sum of ratio units is 5+7+8=20, so each stands for 180°/20 = 9° of angle. Multiplying the ratio values by 9° gives the angle values:

  45° : 63° : 72°

Answer:

ok ok ok ok ok

Step-by-step explanation:

Answer:

ok?

Step-by-step explanation:

The Lateral Surface Area of the cylindrical oil storage tank is [tex]2486.9\text{ sq.ft}[/tex]

The Total Surface Area of the cylindrical oil storage tank is [tex]5526.4\text{ sq.ft}[/tex]

If the height and base radius of the cylindrical oil storage tank are represented by [tex]h[/tex] and [tex]r[/tex] respectively, then

The Lateral Surface Area, also known as the Curved Surface Area, of the cylindrical oil storage tank has the formula

[tex]L=2\pi rh[/tex]

The Total Surface Area of the cylindrical oil storage tank has the formula

[tex]T=2\pi rh+2\pi r^2\\T=2\pi r(h+r)[/tex]

The values for the height and base radius are [tex]18ft[/tex] and [tex]22ft[/tex] respectively.

Calculate the Lateral Surface Area

[tex]L=2\pi rh\\=2\times 3.14\times 22\times 18\\\approx 2486.9\text{ sq.ft}[/tex]

Calculate the Total Surface Area

[tex]T=2\pi r(h+r)\\=2\times 3.14\times22(18+22)\\=5526.4\text{ sq.ft}[/tex]

Learn more about the surface area of cylinders here https://brainly.com/question/1037971

The cost function is an illustration of a linear function

The equation of the cost function is C(x) = 35 + 0.5x

The given parameters are:

[tex]Rentals = 35[/tex] -- the cost of renting a cooler

[tex]Rate = 0.5[/tex] --- the rate per bottle

Assume the number of bottles in a cooler is x.

The cost function for the bottles in a cooler would be:

[tex]C(x) = Rentals + Rate \times x[/tex]

So, we have:

[tex]C(x) = 35 + 0.5\times x[/tex]

Evaluate the products

[tex]C(x) = 35 + 0.5x[/tex]

Hence, the equation is [tex]C(x) = 35 + 0.5x[/tex]

Read more about linear functions at:

https://brainly.com/question/15602982

[tex]\huge \bf༆ Answer ༄[/tex]

Let's solve ~

Answer:

Step-by-step explanation:

seven options 1, 2, 3, 4, 5, 6, 7

three successes for it being even. 2, 4, 6

odds are 3:7 of against randomly drawing an odd numbered ball.

Answer:

1.

[tex] \frac{n^{2} - 1 }{2} [/tex]

2.

[tex] \sqrt{29} [/tex]

Step-by-step explanation:

Area of triangle=1/2×b×h

=

[tex] \frac{1}{2} \times (n - 1)(n + 1)[/tex]

[tex] \frac{( {n}^{2} + n - n - 1) }{2 } [/tex]

[tex] \frac{ {n}^{2} - 1 }{2} [/tex]

2. Area of triangle=14

[tex] \frac{ {n}^{2} - 1 }{2} = 14[/tex]

[tex] {n}^{2} - 1 = 28[/tex]

[tex] {n}^{2} = 29[/tex]

[tex]n = \sqrt{29} [/tex]

please rate well and mark BRAINLIEST.

thanks

Answer:

112cm^3

Step-by-step explanation:

Formula for volume of a cone is:

[tex] \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]

r = radius and h = height

To find the radius you divide the diameter by 2:

12.9 ÷ 2 = 6.45

Now substitute values into the formula:

[tex] \frac{1}{3} \times \pi \times {6.45}^{2} \times 16.6[/tex]

Which equals 112cm^3

31

If you had 60 t-shirts and wore 4 and had 25 you do 25+4=29 then you do 60-29 that =31 so you will have sold 31 t-shirts

Answer:

  Rs 8500

Step-by-step explanation:

For a cost price of c, the marked price is ...

  marked = c +25%·c = 1.25c

After the 15% discount, the sale price will be ...

  s = marked -15%·marked = 0.85·marked = (0.85)(1.25c) = 1.0625c

The profit will be the difference between the sale price s and the cost c:

  p = s -c

  500 = (1.0625c) -c = 0.0625c

Then the cost is ...

  500/0.0625 = c = 8000

and the sale price is ...

  s = c +p = 8000 +500 = 8500 . . . rupees

The selling price will be Rs 8500.

Answer:

$85.50

Step-by-step explanation:

57 x 1.5 = 85.5

Answer:

84% decrease

Step-by-step explanation:

100 - 80 = 20%

80% = 4/5

300 * 4/5 = 240

100 - 40 = 60%

60% = 3/5

240 * 3/5 = 48

48/300 = 4/25 = 16%

100 - 16 = 84%