guys help me I really need your help​

Answer:

a) The sample mean is of 49 and the sample standard deviation is of 11.7.

b) The range of the true mean at 90% confidence level is of 9.62 hours.

c) The prediction interval, at a 90% confidence level, of it's failure time is between 39.38 hours and 58.62 hours.

Step-by-step explanation:

Question a:

Sample mean:

[tex]\overline{x} = \frac{34+40+46+49+61+64}{6} = 49[/tex]

Sample standard deviation:

[tex]s = sqrt{\frac{(34-49)^2+(40-49)^2+(46-49)^2+(49-49)^2+(61-49)^2+(64-49)^2}{5}} = 11.7[/tex]

The sample mean is of 49 and the sample standard deviation is of 11.7.

b)Determine the range of the true mean at 90% confidence level.

We have to find the margin of error of the confidence interval. Since we have the standard deviation for the sample, the t-distribution is used.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 6 - 1 = 5

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 5 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 2.0.150

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}}[/tex]

In which s is the standard deviation of the sample and n is the size of the sample. So

[tex]M = 2.0150\frac{11.7}{\sqrt{6}} = 9.62[/tex]

The range of the true mean at 90% confidence level is of 9.62 hours.

(c)If a seventh sample is tested, what is the prediction interval (90% confidence level) of its failure time.

This is the confidence interval, so:

The lower end of the interval is the sample mean subtracted by M. So it is 49 - 9.62 = 39.38 hours.

The upper end of the interval is the sample mean added to M. So it is 49 + 9.62 = 58.62 hours.

The prediction interval, at a 90% confidence level, of it's failure time is between 39.38 hours and 58.62 hours.

A fraction calcium pantothenate contains 0.5 gram of a tablet 5 tablets to make up 2.3 grams.

To calculate the amount of calcium pantothenate contained in a given number of tablets, use the given information that one tablet contains 0.5 grams.

Amount in n 2 1/4 tablets:

To calculate the amount of calcium pantothenate in n 2 1/4 tablets, we need to calculate the total amount for each part (whole tablets and the fraction of a tablet) and then sum them up.

Amount in n whole tablets: n tablets × 0.5 grams/tablet

Amount in 1/4 tablet: (1/4)× 0.5 grams

So, the total amount in n 2 1/4 tablets would be:

Total amount = n ×0.5 + (1/4) ×0.5 grams

Tablets needed to make up 2.3 grams:

To calculate the number of tablets needed to make up 2.3 grams of calcium pantothenate, set up a proportion using the given tablet amount (0.5 grams/tablet).

Let x be the number of tablets needed.

0.5 grams/tablet = 2.3 grams / x tablets

Cross-multiply:

0.5 × x = 2.3

x = 2.3 / 0.5

x = 4.6

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Answer:

Avery can hold 6 cups

Step-by-step explanation:

so you have a 6 litre of hot chocolate and for every cup you remove 1 litre of hot chocolate wich makes you get 6 cups of hot chocolate

Answer:

Other leg: 25 cm

Hypotenuse: 25√2 cm

Step-by-step explanation:

Hi there!

We are given a 45°-45°-90° triangle, and one leg (a side that makes up the right triangle) measures 25 cm

We want to find the length of the other sides

First, let's find the length of the other leg

A 45°-45°90° triangle is actually an isosceles triangle, and if it was to be drawn, the base angles are 45 and 45 degrees

That means the legs of the right triangle are actually the legs in the isosceles triangle as well

So the other leg is also 25 cm

Now, let's find the length of the hypotenuse, which is the side OPPOSITE from the 90° angle

You can solve for the other side using Pythagorean Theorem if you wish, however, there is a shortcut to finding the hypotenuse

In a 45°-45°-90° triangle, if the length of the legs are a, then the hypotenuse is a√2 cm

So that means the length of the hypotenuse in this case is 25√2 cm

Hope this helps!

Answer:

1780 ft

Step-by-step explanation:

We need to find the perimeter of the rectangle, given by

P= 2(l+w)  where l is the length and w is the width

The units need to be the same

Change 230 yds to ft

230 yd * 3 ft/ y = 690 ft

P = 2(690+200)

P = 2(890)

P =1780

Answer:

a pair of trousers cost = x = 195 $

one shirt costs = x - 50 = 145 $

Step-by-step explanation:

= 3x- 150

2 trousers and 3 shirts cost = 825

=> 2x + 3x - 150 = 825

=> 5x = 975

x = 195

a pair of trousers cost = x = 195 $

a pair of trousers cost = x = 195 $ one shirt costs = x - 50 = 145 $

Hello!

[tex] \bf \sqrt{12} + \sqrt{10} - \sqrt{2} = [/tex]

[tex] \bf \sqrt{ {2}^{2} \times 3} + \sqrt{10} - \sqrt{2} = [/tex]

[tex] \bf \sqrt{ {2}^{2} } \sqrt{ 3} + \sqrt{10} - \sqrt{2} = [/tex]

[tex] \bf \boxed{ 2 \sqrt{3} + \sqrt{10} - \sqrt{2}} [/tex]

Answer: (c) An irrational number

Good luck! :)

Answer:

The coefficient of the squared term is 1/25.

Step-by-step explanation:

We are given that the vertex of a parabola is at (2, -4). We also know that y = -3 when x = -3.

And we want to determine the coefficient of the squared term of the equation.

Since we are given the vertex, we can use the vertex form of the quadratic:

[tex]\displaystyle y = a(x-h)^2+k[/tex]

Where (h, k) is the vertex and a is the leading coefficient. The leading coefficient is also the coefficient of the squared term, so we simply need to find the value of a.

Since the vertex is at (2, -4), h = 2 and k = -4. Substitute:

[tex]\displaystyle y = a(x-2)^2-4[/tex]

y = -3 when x = -3. Solve for a:

[tex]\displaystyle (-3) = a((-3)-2)^2-4[/tex]

Simplify:

[tex]\displaystyle 1 = a(-5)^2\Rightarrow a = \frac{1}{25}[/tex]

Therefore, our function in vertex form is:

[tex]\displaystyle f(x) = \frac{1}{25}\left(x-2)^2-4[/tex]

Hence, the coefficient of the squared term is 1/25.

Answer:

-5

Step-by-step explanation:

from a p e x

List of possible integral roots = 1, -1, 2, -2, 3, -3, 6, -6

List of corresponding remainders = 0, -16, -4, 0, 0, 96, 600, 1764

Check out the table below for a more organized way to represent the answer. The x values are the possible roots while the P(x) values are the corresponding remainders.

====================================================

Explanation:

We'll use the rational root theorem. This says that the factors of the last term divide over the factors of the first coefficient to get the list of all possible rational roots.

We'll be dividing factors of 6 over factors of 1. We'll do the plus and minus version of each. Since we're dividing over +1 or -1, this means that we're basically just looking at the plus minus of the factors of 6.

Those factors are: 1, -1, 2, -2, 3, -3, 6, -6

This is the list of possible integral roots.

Basically we list 1,2,3,6 with the negative versions of each value thrown in as well.

---------------------------------

From there, you plug each value into the P(x) function

If we plugged in x = 1, then,

P(x) = x^4 - 3x^3 - 3x^2 + 11x - 6

P(1) = (1)^4 - 3(1)^3 - 3(1)^2 + 11(1) - 6

P(1) = 1 - 3 - 3 + 11 - 6

P(1) = 0

This shows that x = 1 is a root, since we get a remainder 0. Do the same for the other possible rational roots listed above. You should find (through trial and error) that x = -2 and x = 3 are the other two roots.

The equation of the graph is : x = -2

A graph is a pictorial representation of the locus of a certain point.

A graph can be drawn by picking some fixed points from the locus of the point.

Here, the straight line passes through the points are : (-2,1); (-2,2); (-2,-5);(-2,-5).

Hence, the straight line is to be parallel to the x-axis and the equation of the graph is x= -2.

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Answer:

The probability that he also attended the breakfast forum is is 0.5714 = 57.14%.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

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

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Attended the dinner speech.

Event B: Attended the breakfast forum.

70% attended the dinner speech

This means that [tex]P(A) = 0.7[/tex]

40% attended both events.

This means that [tex]P(A \cap B) = 0.4[/tex]

The probability that he also attended the breakfast forum is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.4}{0.7} = 0.5714[/tex]

The probability that he also attended the breakfast forum is is 0.5714 = 57.14%.

Answer:

A= 2  B= 6

Step-by-step explanation:

Answer:

I think it is Obtuse.

Step-by-step explanation:

120 Degrees - Obtuse

Answer:

gkg8fyaueajrkvxogogzoggkdggkdyyskyyeykektkykyksskysysskkyky

Answer:

The absolute maximum is about -5.84 at x = -2.

And the absolute minimum is about -11.28 at x = -π/6.

Step-by-step explanation:

We want to find the absolute maximum and minimum values of the function:

[tex]\displaystyle f(x) = 5x-10\cos x\text{ for } -2\leq x\leq 0[/tex]

First, we should evaluate the endpoints of the interval:

[tex]\displaystyle f(-2) = 5(-2) - 10\cos (-2) \approx -5.8385[/tex]

And:

[tex]f(0) = 5(0) -10\cos (0) = -10[/tex]

Recall that extrema of a function occurs at its critical points. The critical points of a function are whenever its derivative is zero or undefined.

So, find the derivative of the function:

[tex]\displaystyle f'(x) = \frac{d}{dx}\left[ 5x - 10\cos x\right][/tex]

Differentiate:

[tex]\displaystyle f'(x) = 5 + 10\sin x[/tex]

Set the function equal to zero:

[tex]\displaystyle 0 = 5+10\sin x[/tex]

And solve for x:

[tex]\displaystyle \sin x = -\frac{1}{2}[/tex]

Using the unit circle, our solutions are:

[tex]\displaystyle x = \frac{7\pi}{6} + 2n\pi\text{ or } \frac{11\pi}{6} + 2n\pi \text{ where } n\in \mathbb{Z}[/tex]

There is only one solution in the interval [-2, 0]:

[tex]\displaystyle x = \frac{11\pi}{6} - 2\pi = -\frac{\pi}{6}\approx -0.5236[/tex]

Thus, we only have one critical point on the interval.

Substituting this back into the function yields:

[tex]\displaystyle\begin{aligned} f\left(-\frac{\pi}{6}\right) &= 5\left(-\frac{\pi}{6}\right) - 10\cos \left(-\frac{\pi}{6}\right) \\ \\ &=-\frac{5\pi}{6} - 5\sqrt{3}\\ \\ &\approx -11.2782 \end{aligned}[/tex]

In conclusion, the absolute maximum value of f on the interval [-2, 0] is about -5.8385 at x = -2 and the absolute minimum value of f is about -11.2782 at x = -π/6.

We can see this from the graph below as well.

9514 1404 393

Answer:

  21

Step-by-step explanation:

The number who bought expensive tickets is 3/5 of the number who bought cheap tickets.

  (3/5)(35) = 21

21 people bought the more expensive ticket.

Answer:

21 people

Step-by-step explanation:

       $9.75      $14.50

  5 people to 3 people

 35 people to ? people

consider the proportions: 5/3 = 35/?

we need the equivalent fraction of 5/3 that has 35 on the denominator

so 5/3 = (5/3)(7/7)  because 7/7 =1, and 5*3 =35

5/3 = 5*7/3*7 = 35/21

Answer:

8√113 / 113

Step-by-step explanation:

Representing the information on a triangle :

From trigonometry :

Cos θ = Adjacent / hypotenus = AC / AB

AB = hypotenus :

Using Pythagoras :

AB² = AC² + BC²

AB² = 8² + (-7)²

AB² = 64 + 49

AB = √113

Cos θ = AC / AB = 8 / √113

RATIONALIZE :

8/√113 * √113/√113 = 8√113 / 113

Answer:

Step-by-step explana:

-115/5= 23

-23x7=16 1

-161-15=146

Answer:

146 pounds.

Step-by-step explanation:

7 : 5 = 12

? : 115 = ?

115 / 5 = 23

23 x 7 = 161

161  - 15 = 146

The answer is 146.

Answer:

9 multiples

Step-by-step explanation:

16,24,32,40,48,56,64,72,80

9

Answer: 8

Hope this help :)

Answer:

this is the answer

681,474

Answer:

25

Step-by-step explanation:

5:20  

We want to get the second number to 100

100/20 = 5

Multiply each term by 5

5*5 : 20*5

25 : 100

x is 25

Given that,

→ 5 : 20 :: x : 100

Then we have to,

find the second number to 100.

→ 100/20

→ 5

Now multiply each term by 5 in 5:20,

→ 5 × 5 : 20 × 5

→ 25 : 100

→ x = 25

Now these ratio will be,

→ 5 : 20 :: 25 : 100

Hence, the value of x is 25.

Answer:

try to calculate

here some examples

Step-by-step explanation:

Decimal Degrees to Degrees, Minutes, Seconds Calculator

Enter decimal degrees to convert to minutes and seconds. See the formulas below to see how it’s done.

Angle:

Decimal:

47.31

°

degrees, minutes, seconds to decimal

Degrees, Minutes, & Seconds:

47° 18′ 36″

I hope it helps

Answer:

Step-by-step explanation:

Given,

Radius = 30 in

So,

Circumference

[tex] = 2\pi r[/tex]

[tex] = 2 \times \pi \times 30in.[/tex]

[tex] = 60\pi \: in.(ans)[/tex]

[tex] \sf \: r \: = 30 \: in. \\ \sf \: C \: = 2\pi r \\ \\ \sf \: C \: = 2\pi(30) \\ \sf \: C = 2 \times 30\pi \\ \sf \: C = \boxed{\underline{ \bf c. \: 60\pi \: in.}}[/tex]

Answer:

Step-by-step explanation:

the answer is 2250 percent is = 22.5

Answer:

18% discount

Step-by-step explanation:

Percent discount is found by the following formula:

[tex]\frac{original-discount}{original}[/tex]

In this scenario, the original is 12500 and the discount, or special is 10250.

We can plug this into the formula to get

[tex]\frac{12500-10250}{12500}[/tex]

We can simplify the numerator by subtracting, and we get that answer as 2250.

We get the remainder of the answer as 2250 divided by 12500. We divide that, and get the answer as 0.18, which can be rewritten as 18%.

Answer:

The degree of vertex is the total number of vertices adjacent to the vertex .

The total number of vertices adjacent to the vertex is called degree of the vertex.

" Vertex is defined as when two adjacent side meet at one point."

According to the question,

The degree of a vertex is always as the total number of adjacent side to the vertex.

If adjacent sides far away from each other degree is more.

If adjacent sides near to each other degree is less.  

Hence, the total number of vertices adjacent to the vertex is called degree of the vertex.

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Answer:

0.2 = 20% probability that Ali will win the game.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Total outcomes:

The 10 sides that the dice can land, which means that [tex]T = 10[/tex]

Desired outcomes:

Sides that are multiple of 4, that is, side 4 and side 8, so [tex]D = 2[/tex]

Work out the probability that Ali will win the game.

[tex]p = \frac{D}{T} = \frac{2}{10} = 0.2[/tex]

0.2 = 20% probability that Ali will win the game.