Select the proper reason if this
statement is provided as a fact at the
beginning of a proof.

Answer:

6s-62+5t

Step-by-step explanation:

6s-42-20+5t=6s-62+5t

Answer:

$39,000

Step-by-step explanation:

This is the best answer because you recieve the most money. 2630*12 is 31560 dollars, and 665*52= $34580.

Step-by-step explanation:

(x - 3)2 = 5

2x - 6 = 5

2x = 5 +6

2x = 11

x = 11/2

x = 5.5

Answer: so what was the answer

Step-by-step explanation:

Answer:

Length =  502 ft

Width = 212 ft

Step-by-step explanation:

Recall the formula for the perimeter of a rectangle of length "L" and width "W":

Perimeter = 2 L + 2 W = 1428  ft

Now, since the length is 78 ft more than twice the width, then we can write this in mathematical form as:

L = 2 W +78

so, 2 W = L -7 8

and now replace "2 W" with it equivalent  "L - 78"  in the first perimeter equation and solve for "L":

2 L + L - 78 = 1428

3 L = 1428 + 78

3 L = 1506

L = 1506/3

L = 502 ft

Then the width W can be obtained via:

2 W = L - 78

2 w = 502 -78

2 W = 424

w = 212 ft

Answer:

a. Apparent correlations between two or more variables can stimulate investigation and present possible solutions to be explored.

Step-by-step explanation:

Correlation is a scenario, where an action X causes another action Y to occur, but one of the actions does not really need to affect the other's occurrence. Correlation occurs because of the tendency of people to seek the relationship between events. The fact that two events are happening at the same time does not necessarily imply a cause and effect relationship, although there might be a possibility of such.

Correlation is used in scientific studies to draw the relationship between two events, but it does not stop at that. Through investigation has to be made to confirm that there is indeed a correlation.

Answer:

Null and alternative hypothesis:

[tex]H_0: \mu=0.05\\\\H_a:\mu< 0.05[/tex]

The alternative hypothesis is the one that needs evidence to be supported, while the null hypothesis is the one that can be nullified (reject).

Only if there is enough evidence that thickness is less than 0.05 the null hypothesis will be rejected and the alternative hypothesis claim supported.

A Type I error happens when a true null hypothesis is rejected. In this case we will be purchase a order that is not fulfilling the thickness required.

A Type II error happens when a false null hypothesis is failed to be rejected. In this case, the order has a thickness significantly smaller than 0.05, but the sample gives no enough evidence and the order will not be purchased.

Step-by-step explanation:

A hypothesis test to see conclusive evidence that the true standard deviation of sheath thickness is less than 0.05 mm will have the following hypothesis:

[tex]H_0: \mu=0.05\\\\H_a:\mu< 0.05[/tex]

The alternative hypothesis Ha will state that the true mean is significantly smaller than 0.05, while the null hypothesis H0 will state the opposite: that the true mean is not significantly smaller than 0.05.

The alternative hypothesis is the one that needs evidence to be supported, while the null hypothesis is the one that can be nullified (reject).

Only if there is enough evidence that thickness is less than 0.05 the null hypothesis will be rejected and the alternative hypothesis claim supported.

Let's raise i to various powers starting with 0,1,2,3...

i^0 = 1

i^1 = i

i^2 = ( sqrt(-1) )^2 = -1

i^3 = i^2*i = -1*i = -i

i^4 = (i^2)^2 = (-1)^2 = 1

i^5 = i^4*i = 1*i = i

i^6 = i^5*i = i*i = i^2 = -1

We see that the pattern repeats itself after 4 iterations. The four items to memorize are

i^0 = 1

i^1 = i

i^2 = -1

i^3 = -i

It bounces back and forth between 1 and i, alternating in sign as well. This could be one way to memorize the pattern.

To figure out something like i^25, we simply divide the exponent 25 over 4 to get the remainder. In this case, the remainder of 25/4 is 1 since 24/4 = 6, and 25 is one higher than 24.

This means i^25 = i^1 = i

Likewise,

i^5689 = i^1 = i

because 5689/4 = 1422 remainder 1. The quotient doesn't play a role at all so you can ignore it entirely

Answer:

The sequence converges. The limit DNE.

Step-by-step explanation:

Find the limit of n as n tends to infinity (in other words, positive infinity) in {Ln(n)/ Ln(3n)}

Positive infinity values for n start from 1,2,3,4,5,6,7,8,9,10,11,12,13,14,...,infinity

So I solved for values of n, up to n=20. All values are rounded up to 3 decimal places; for better accuracy.

When n is 1, the function is equal to 0.000

When n is 2, the function is = 0.387

When n is 3, the function = 0.500

When n is 4, the function = 0.558

When n is 5, the function = 0.594

When n is 6, the function = 0.619

When n is 7, the function = 0.639

When n is 8, the function = 0.654

When n is 9, the function = 0.667

When n is 10, the function = 0.677

When n is 11, the function = 0.686

When n is 12, the function = 0.693

When n is 13, the function = 0.700

When n is 14, the function = 0.706

When n is 15, the function = 0.711

When n is 16, the function = 0.716

When n is 17, the function = 0.721

When n is 18, the function = 0.725

When n is 19, the function = 0.728

When n is 20, the function = 0.732

We say there is a convergence because the space between the values of n gets smaller and smaller as n tends to infinity and there is no definite limit. Limit DNE.

Answer:

4320 minutes

Step-by-step explanation:

Recall,

1 day --->  24 hours

but each hour has 60 minutes, hence 1 day can also be expressed:

1 day -----> 24 x 60 = 1440 minutes

3 days -----> 1440 min/day  x 3 days = 4320 minutes

Answer: 4,320 minutes

Step-by-step explanation: 1 day = 1440 days. 1440 * 3 = 4,320 minutes

Answer:

Step-by-step explanation:

The point slope form of a straight line is expressed as

y - y1 = m(x - x1)

Where

m represents slope of the line

y1 represents the initial value of y

x1 represents the initial value of x

If two lines are parallel, it means that they have the same slope. From the equation of the given line, slope = 1/2

Therefore,

m = 1/2

x1 = - 3

y1 = - 2

Substituting into the point slope equation, it becomes

y - - 2 = 1/2(x - - 3)

y + 2 = 1/2(x + 3)

The equation is

y + 2 = 1/2(x + 3)

Answer: The point slope form of a straight line is expressed as y - y1 = m(x - x1)Wherem represents slope of the liney1 represents the initial value of yx1 represents the initial value of xIf two lines are parallel, it means that they have the same slope. From the equation of the given line, slope = 1/2Therefore,m = 1/2x1 = - 3y1 = - 2Substituting into the point slope equation, it becomesy - - 2 = 1/2(x - - 3)y + 2 = 1/2(x + 3)The equation is y + 2 = 1/2(x + 3)

Step-by-step explanation:

Answer:

60% probability that the commuting time will be less than 70 minutes

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

[tex]P(X < x) = \frac{x - a}{b-a}[/tex]

Suppose that the actual commuting time is uniformly distributed between 64 and 74 minutes.

This means that [tex]a = 64, b = 74[/tex]

What is the probability that the commuting time will be less than 70 minutes

[tex]P(X < 70) = \frac{70 - 64}{74 - 64} = 0.6[/tex]

60% probability that the commuting time will be less than 70 minutes

Answer:

Yes, it contradict this prior belief as there is enough evidence to support the claim that the true average escape time is significantly higher than 6 minutes.

Test statistic t=2.238>tc=1.708.

The null hypothesis is rejected.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the true average escape time is significantly higher than 6 minutes (360 seconds).

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=360\\\\H_a:\mu> 360[/tex]

The significance level is 0.05.

The sample has a size n=26.

The sample mean is M=370.69.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=24.36.

The estimated standard error of the mean is computed using the formula:

[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{24.36}{\sqrt{26}}=4.777[/tex]

Then, we can calculate the t-statistic as:

[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{370.69-360}{4.777}=\dfrac{10.69}{4.777}=2.238[/tex]

The degrees of freedom for this sample size are:

[tex]df=n-1=26-1=25[/tex]

The critical value for a  right-tailed test with a significance level of 0.05 and 25 degrees of freedom is tc=1.708. If the test statistic is bigger than 1.708, it falls in the rejection region and the null hypothesis is rejected.

As the test statistic t=2.238 is bigger than the critical value t=1.708, the effect is significant.  The null hypothesis is rejected.

There is enough evidence to support the claim that the true average escape time is significantly higher than 6 minutes (360 seconds).

Answer:

See Explanation below

Step-by-step explanation:

This question has missing details because the number of video games is not stated;

However, you'll arrive at your answer if you follow the steps I'll highlight;

The question requests for the number of arrangement; That means we're dealing with permutation

Let's assume the number of video games is n;

To arrange n games, we make use of the following permutation formula;

[tex]^nP_n = \frac{n!}{(n-n)!}[/tex]

Simplify the denominator

[tex]^nP_n = \frac{n!}{0!}[/tex]

0! = 1; So, we have

[tex]^nP_n = \frac{n!}{1}[/tex]

[tex]^nP_n = n![/tex]

Now, let's assume there are 3 video games;

This means that n = 3

[tex]^3P_3 = 3![/tex]

[tex]^3P_3 = 3 * 2 * 1[/tex]

[tex]^3P_3 = 6\ ways[/tex]

So, whatever the number of video games is; all you have to do is; substitute this value for n;

Answer:

Step-by-step explanation:

A) u = 4      v = 4/(sqrt)3

B) b = 5      c = 10

C) b = 2(sqrt)2     a = 4

D) m and n are both 7(sqrt)2/2

The missing side lengths for the three triangles are 10√3, 12, and 8. The first triangle is a 30-60-90 triangle, the second triangle is a 45-45-90 triangle, and the third triangle is a right triangle. The missing side lengths were found using the properties of special triangles and the Pythagorean Theorem.

Here are the missing side lengths for the following triangles:

Triangle 1:

The missing side length is 15.

The triangle is a 30-60-90 triangle, so the ratio of the side lengths is 1:√3:2. The hypotenuse of the triangle is 20, so the shorter leg is 10 and the longer leg is 10√3. The missing side length is the longer leg, so it is 10√3.

Triangle 2:

The missing side length is 12.

The triangle is a 45-45-90 triangle, so the ratio of the side lengths is 1:1:√2. The hypotenuse of the triangle is 12√2, so each of the legs is 12. The missing side length is one of the legs, so it is 12.

Triangle 3:

The missing side length is 8.

We can use the Pythagorean Theorem to find the missing side length. The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, the hypotenuse is 10 and one of the other sides is 6. Let x be the missing side length.

[tex]10^{2}[/tex] = [tex]6^{2}[/tex] + [tex]x^{2}[/tex]

100 = 36 +[tex]x^{2}[/tex]

[tex]x^{2}[/tex] = 64

x = 8

Therefore, the missing side length is 8.

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उपरोक्त लिंक पर क्लिक करें, निम्नलिखित प्रश्न का उत्तर दें, फिर, मैं आपके प्रश्न का उत्तर दूंगा। (यदि आप मदद की जरूरत है, यह टिप्पणी करने के लिए उत्तर दें।)

uparokt link par klik karen, nimnalikhit prashn ka uttar den, phir, main aapake prashn ka uttar doonga. (yadi aap madad kee jaroorat hai, yah tippanee karane ke lie uttar den.)

Answer:

the probability that a random sample of 17 persons will exceed the weight limit of 3,417 pounds is 0.0166

Step-by-step explanation:

The summary of the given statistical data set are:

Sample Mean = 186

Standard deviation = 29

Maximum capacity 3,417 pounds or 17 persons.

sample size = 17

population mean =3417

The objective is to determine the probability  that a random sample of 17 persons will exceed the weight limit of 3,417 pounds

In order to do that;

Let assume X to be the random variable that follows the normal distribution;

where;

Mean [tex]\mu[/tex] = 186 × 17 = 3162

Standard deviation = [tex]29* \sqrt{17}[/tex]

Standard deviation = 119.57

[tex]P(X>3417) = P(\dfrac{X - \mu}{\sigma}>\dfrac{X - \mu}{\sigma})[/tex]

[tex]P(X>3417) = P(\dfrac{3417 - \mu}{\sigma}>\dfrac{3417 - 3162}{119.57})[/tex]

[tex]P(X>3417) = P(Z>\dfrac{255}{119.57})[/tex]

[tex]P(X>3417) = P(Z>2.133)[/tex]

[tex]P(X>3417) =1- 0.9834[/tex]

[tex]P(X>3417) =0.0166[/tex]

Therefore; the probability that a random sample of 17 persons will exceed the weight limit of 3,417 pounds is 0.0166

Answer:

[tex]\mathrm{Image \: below.}[/tex]

Explanation:

Ruby talks about a 3D shape, so sphere.

Shriya talks about the points that are equal in distance from the opposite points, the diameter, she is right.

Abhishek's definition is not shown completely in the photo, so by process of elimination, he is incorrect.

Answer:

  50.18°

Step-by-step explanation:

  ∠BAD = ∠BAC +∠CAD

  102° = (8x+17)° +(9x+11)° . . . . . substitute given values

  102 = 17x +28 . . . . . . . . . . simplify, divide by degrees

  x = (102 -28)/17 = 74/17 . . . . . solve for x

Then the angle of interest is ...

  ∠CAD = (9x +11)° = (9(74/17) +11)° = 50 3/17°

  ∠CAD ≈ 50.18°

Area of one side of a U.S. dime is approximately 254  square millimeters.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Given that  U.S. dime has a diameter of about 18 millimeters.

We need to find the area of one side of a dime to the nearest square millimeter.

Diameter=18 millimeters

Diameter is two times of radius

D=2R

18=2R

Divide both sides by 2

Radius is 9 millimeters.

Area of dime=πr²

=3.14×(9)²

=3.14×81

=254 square millimeters.

Hence, area of one side of a U.S. dime is approximately 254  square millimeters.

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Answer:

A, C, E, and F.

Step-by-step explanation:

To find the y-intercept, simply plug in 0 for x since y-intercepts are (0,y):

[tex]f(0)=\frac{(0-3)(0+4)(0-1)}{(0+2)(0-12)} =\frac{(-3)(4)(-1)}{(2)(-12)} =\frac{12}{2(-12)}=-1/2[/tex]

[tex](0,-1/2)[/tex]

To find the x-intercepts, plug in 0 for y since x-intercepts have the format (x,0):

[tex]0=\frac{(x-3)(x+4)(x-1)}{(x+2)(x-12)}[/tex]

[tex]0=(x-3)(x+4)(x-1)[/tex]

[tex]x=3, -4, 1[/tex]

[tex](-4,0), (1,0), (3,0)[/tex]

The correct choices are:

A, C, E, and F.

Answer:

21

Step-by-step explanation:

9 plus 10= 21

The ratio shows how many times one value is contained in another value.

The ratio of stamps from Malaysia, Thailand, and New Zealand is

15M : 10T : 12N

The fraction of stamps from Malaysia is 15/37.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

The ratio of the number of stamps from Malaysia to the number of stamps from Thailand is 3:2.

This can be written as,

Number of stamps from Malaysia = 3M

Number of stamps from Thailand = 2T

Multiply both by 5.

Number of stamps from Malaysia = 15M ____(1)

Number of stamps from Thailand = 10T _____(2)

The ratio of the number of stamps from New Zealand to the number of stamps from Thailand is 6:5.

Number of stamps from New Zealand = 6N

Number of stamps from Thailand = 5T

Multiply both by 2.

Number of stamps from New Zealand = 12N _____(3)

Number of stamps from Thailand = 10T _____(4)

From (1), (2), (3), (4) we get,

15M : 10T : 12N

The fraction of stamps from Malaysia.

= 15/37

Thus,

The fraction of stamps from Malaysia is 15/37.

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Answer:

y= 3x+2

Step-by-step explanation:

i think im sorry if its wrong

Answer:

Angle P is congruent to itself due to the reflexive property.

Explanation:

Angle P must be congruent to angle S through corresponding angle theory.

Otherwise, it wouldn't prove ΔPQR is similar to ΔSTR.

Answer:

Angle P is congruent to itself due to the reflexive property.

Step-by-step explanation:

Answer:

7/8 chance

Step-by-step explanation:

There are 7 numbers that are either even or greater than 2: 2, 3, 4, 5, 6, 7, and 8. There is a 7/8 chance choosing either of those.

Answer:

7/8

Step-by-step explanation:

there are 6 numbers that are greater than 2: 3,4,5,6,7,8

there are 4 even numbers: 2,4,6,8

Answer:

a) Test statistic

    Z = 1.265 < 1.96 at 0.05 level of significance

The battery life is not exceeds 40 hours

b)

p- value = 0.8962

Step-by-step explanation:

Step(i):-

Given sample size 'n' =10

Mean of the sample x⁻ = 40.5 hours

Mean of  of the Population μ = 40 hours

Standard deviation of the Population = 1.25 hours

Step(ii):-

Null Hypothesis:H₀: μ = 40 hours

Alternative Hypothesis :H₁ : μ < 40 hours

step(ii):-

Test statistic

               [tex]Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]

              [tex]Z = \frac{40.5 -40}{\frac{1.25}{\sqrt{10} } }[/tex]

             Z = 1.265

Level of significance = 0.05

Z₀.₀₅ = 1.96

Z = 1.265 < 1.96 at 0.05 level of significance

The battery life is not exceeds 40 hours

Step(iii):-

P - value        

P( Z < 1.265) = 0.5 + A( 1.265)

                     = 0.5 + 0.3962  

                    = 0.8962

P( Z < 1.265) = 0.8962

i ) p- value = 0.8962 > 0.05

Accept H₀

There is no significant

The battery life is not exceeds 40 hours

Answer:

1. Test statistic t=1.581.

2. The null hypothesis H0 failed to be rejected.

There is not enough evidence to support the claim that the mean number of calls per salesperson per week is significantly more than 41.

NOTE: if the null hypothesis is µ = 40, there is enough evidence to support the claim that the mean number of calls per salesperson per week is significantly more than 40 (test statistic t=3.161).

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the mean number of calls per salesperson per week is significantly more than 41.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=41\\\\H_a:\mu> 41[/tex]

The significance level is 0.025.

The sample has a size n=38.

The sample mean is M=42.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=3.9.

The estimated standard error of the mean is computed using the formula:

[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{3.9}{\sqrt{38}}=0.633[/tex]

Then, we can calculate the t-statistic as:

[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{42-41}{0.633}=\dfrac{1}{0.633}=1.581[/tex]

The degrees of freedom for this sample size are:

[tex]df=n-1=38-1=37[/tex]

This test is a right-tailed test, with 37 degrees of freedom and t=1.581, so the P-value for this test is calculated as (using a t-table):

[tex]\text{P-value}=P(t>1.581)=0.061[/tex]

As the P-value (0.061) is bigger than the significance level (0.025), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the mean number of calls per salesperson per week is significantly more than 41.

For µ = 40:

This is a hypothesis test for the population mean.

The claim is that the mean number of calls per salesperson per week is significantly more than 40.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=40\\\\H_a:\mu> 40[/tex]

The significance level is 0.025.

The sample has a size n=38.

The sample mean is M=42.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=3.9.

The estimated standard error of the mean is computed using the formula:

[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{3.9}{\sqrt{38}}=0.633[/tex]

Then, we can calculate the t-statistic as:

[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{42-40}{0.633}=\dfrac{2}{0.633}=3.161[/tex]

The degrees of freedom for this sample size are:

[tex]df=n-1=38-1=37[/tex]

This test is a right-tailed test, with 37 degrees of freedom and t=3.161, so the P-value for this test is calculated as (using a t-table):

[tex]\text{P-value}=P(t>3.161)=0.002[/tex]

As the P-value (0.002) is smaller than the significance level (0.025), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the mean number of calls per salesperson per week is significantly more than 40.  

Answer:

[tex] cos A = \frac{5}{13} [/tex]

Step-by-step explanation:

The given triangle, ∆ABC is a right triangle.

To find cos A, we'd need to apply the trigonometric ratio formula, which is cos A = adjacent length/hypotenuse length

From the ∆ given,

AC = adjacent = 15,

BC = opposite = 36

We are not given the hypotenuse length AB.

==>Find the hypotenuse length AB, using the Pythagorean theorem formula:

c² = a² + b²

AB² = 15² + 36² = 225 + 1296 = 1521

AB = √1521

AB = 39

==>Find cos A:

cos A = adjacent/hypotenuse

[tex] cos A = \frac{adjacent}{hypotenuse} [/tex]

Adjacent = AC = 15

Hypotenuse = AB = 39

[tex] cos A = \frac{15}{39} [/tex]

[tex] cos A = \frac{5}{13} [/tex]

Answer:

50%

Step-by-step explanation:

The numbers that are not odd are 2, 4, and 6 on a dice.

3 numbers out of 6.

3/6 = 1/2 = 0.5

P(not odd)= 50%

Answer:

The second term is 3

Step-by-step explanation:

C(n)=-6(-1/3) n-1

The first term of the sequence

C(1) = -6(-1/3)1-1

C(1) = (2)-1

C(1) = 1

C(n)=-6(-1/3) n-1

The second term of the sequence

C(2) = -6(-1/3)2-1

C(2) = -6(-2/3)-1

C(2) = 4-1

C(2) = 3

Answer:

2

Step-by-step explanation:

C(2)= -6(-1/3)^2-1

=2

Answer:

ln e = 1

ln e 2x = 2x

ln 1 = 0

Step-by-step explanation:

ln e

ln(2.718282) = 1

In e 2x

ln(2.718282)(2)x = 2x

ln 1 = 0