Find the critical value (t-value) that form the boundaries of the critical region for a two-tailed test with a = 0.05 for a sample size of n1 =11 & n2 =8

The value of angle TUS based on the information given about the circle will be 49°.

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

Equivalently, a circle is the curve traced out by a point that moves in a plane so that its distance from a given point is constant.

The radius is the line segment extending from the center of a circle or sphere to the circumference or bounding surface.

Here, the value of TUS will be:

= 1/2 × TRS

= 1/2 × 98°

= 49°

In conclusion, the correct option is 49°.

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Complete question:

Circle R has a radius of 6 inches. Points S, T, and U lie on circle R, clockwise in alphabetical order. If m∠TRS = 98°, what is m∠TUS?

The amount that the insurance company will pay is $1800.

It should be noted that the insurance company will pay John for the expenses of his injuries and repair of the car.

For the injury, he will get:

= $500 + ($1400 - $100)

= $500 + $2300

= $1800

Therefore, the amount is $1800.

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Using the normal distribution, there is a 0.0781 = 7.81% probability that a randomly selected cyclist will take between 2.35 and 2.45 hours to complete the race.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 2.5, \sigma = 0.5[/tex].

The probability that a randomly selected cyclist will take between 2.35 and 2.45 hours is the p-value of Z when X = 2.45 subtracted by the p-value of Z when X = 2.35, hence:

X = 2.45:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{2.45 - 2.5}{0.5}[/tex]

Z = -0.1

Z = -0.1 has a p-value of 0.4602.

X = 2.35:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{2.35 - 2.5}{0.5}[/tex]

Z = -0.3

Z = -0.3 has a p-value of 0.3821.

0.4602 - 0.3821 = 0.0781.

0.0781 = 7.81% probability that a randomly selected cyclist will take between 2.35 and 2.45 hours to complete the race.

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Based on the change in the company stock over the three weeks, the total increase in those three weeks is 1.38%.

assuming the stock has a value of $1, the value in the third week would be:
= 1 x (1 + 5/8%) x (1 + 1/2%) x (1 + 1/4%)

= $1.013809453125

the total increase is:
= (1.013809453125 - 1) / 1

= 1.38%

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Answer:

From least to most likely:

Event 4, Event 2, Event 3, Event 1

Step-by-step explanation:

Event 1 has a 100% chance because there are only red and orange marbles in the bag.

In event 2, there are 4 orange marbles in the bag, giving us a (4/20) chance. This is 20%

In event 3, there are 2 orange marbles of 8 total, giving us an (2/8) chance. This is 25%

Lastly, there are no purple marbles in either bag, giving us a 0% chance of this occurring.

Answer:

u = -225

Step-by-step explanation:

36 - u = 261

-u = 261 - 36

-u = 225

u = -225

Answer: [tex]\frac{3}{c^2}[/tex]

Step-by-step explanation:

This uses the exponent rule [tex]a^{-b}=\frac{1}{a^b}[/tex].

Answer:

Step-by-step explanation:

Given

Leg =  10

Leg = 6

hypotenuse = ?

equation

c^2 = a^2 + b^2

a = 10

b = 6

Solution

c^2 = 10^2 + 6^2                  Expand

c^2 = 100 + 36                     Combine

c^2 = 136                              Take the square root of both sides

√c^2 = √136

c = 11.66

answer

hypotenuse = 11.66

Using the normal distribution, it is found that 0.4068 of crocodiles live between 17.5 and 20.5 years.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation are given as follows:

[tex]\mu = 18, \sigma = 2.6[/tex]

The proportion of crocodiles live between 17.5 and 20.5 years is the p-value of Z when X = 20.5 subtracted by the p-value of Z when X = 17.5, hence:

X = 20.5:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{20.5 - 18}{2.6}[/tex]

Z = 0.96

Z = 0.96 has a p-value of 0.8315.

X = 17.5:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{17.5 - 18}{2.6}[/tex]

Z = -0.19

Z = -0.19 has a p-value of 0.4247.

0.8315 - 0.4247 = 0.4068

0.4068 of crocodiles live between 17.5 and 20.5 years.

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30 Jagged rocks are the same 3 shiny rocks using the exchange rates provided(i.e. option D)

What is an exchange rate?

Exchange rate means the rate at which one item exchanges hands with another, for instance, in this case, 6 jagged rocks are equivalent to 2 smooth pebbles.

6 jagged rocks=2 smooth pebbles

divide both sides by 2

6/2 jagged rocks=2/2 smooth pebbles

3 jagged rocks=1 smooth pebble

We can rewrite as below:

1 jagged rock=1/3 smooth pebble

30jagged rocks=1/3*30 smooth pebbles

30 jagged rocks=10 smooth pebbles

Now we need to convert 10 smooth pebbles to shiny rock equivalence

3 smooth pebbles=1 shiny rock

1 smooth pebble=1/3 shiny rock

10 smooth pebbles=1/3*10 shiny rocks

10 smooth pebbles=3 shiny rocks( even though it is 3.33, but the final answer should be rounded to a whole number)

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Answer:

240 pages

Step-by-step explanation:

Let x = the TOTAL number of pages in the book. So we'll add up all her reading for the week and it should equal x, the total number of pages.

see image.

The total cost needed to tile the training room with an area of 100 m² is R110.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let assume that the area of the trainig room is 100 m² and one box can complete 50 m², hence:

number of box needed = 100 m² / 50 m² = 2

Total  cost = R55 per box * 2 box = R110

The total cost needed to tile the training room with an area of 100 m² is R110.

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Answer:

2x-3/7x

Step-by-step explanation:

Using the normal distribution, the probabilities are given as follows:

a) 0.6826 = 68.26%.

b) 0.9759 = 97.59%.

c) 0.0004 = 0.04%.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Item a:

The probability is the p-value of Z = 1(0.8413) subtracted by the p-value of Z = -1(0.1587), hence:

0.8413 - 0.1587 = 0.6826

Item b:

The probability is the p-value of Z = 2(0.9772) subtracted by the p-value of Z = -3(0.0013), hence:

0.9772 - 0.0013 = 0.9759.

Item c:

This probability is P(|Z| > 3.5), which is 2 multiplied by the p-value of Z = -3.5, which is of 0.0002.

Hence:

2 x 0.0002 = 0.0004 = 0.04%.

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Using a proportional relationship, it is found that Carlos earns an allowance of $7.5 for each chore that he completes.

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

In this problem, the constant is:

k = 75/10 = 97.5/13 = 112.5/15 = 7.5.

Hence Carlos earns an allowance of $7.5 for each chore that he completes.

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Using the normal distribution, it is found that the cut-off time which 75.8% of the college students exceed when trying to find a parking spot in the library parking lot is of 3.7 minutes.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation are given as follows:

[tex]\mu = 4.5, \sigma = 1[/tex]

The cut-off time is the 100 - 75.8 = 24.2th percentile, which is X when Z = -0.7, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.7 = \frac{X - 4.5}{1}[/tex]

X - 4.5 = -0.7

X = 3.7.

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Answer:

26 - R = C

3 cars

Step-by-step explanation:

26-R = C

26-23 = 3

Answer:

The intersection of L and J or simply (L ∩ J)= ∅

or { }

Step-by-step explanation:

Hello!

The intersection operation is denoted by the symbol ∩. The set A ∩ B—read “A intersection B” or “the intersection of A and B”—is defined as the set composed of all elements that belong to both A and B.

Thus, at this situation there is no similar terms between the to set elements of L and J.

The equation of the line of best fit using the slope-intercept formula y=mx+b is y = x - 5

A line is the shortest distance between two points. The equation in point-slope form is expressed as:

y =. mx + b

m is the slope

b is the y intercept

Using the coordinate points (25, 20) and (60, 55)

Slope = 55-20/60-25
Slope = 35/35
Slope = 1

For the intercept

20 = 1(25) + b

b = 20 - 25

b = -5

Substitute

y = x + (-5)

y = x - 5

Hence the equation of the line of best fit using the slope-intercept formula y=mx+b is y = x - 5

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Answer:

Discount: $30 off

New Sale Price: $270

Step-by-step explanation:

$300*10% =

30

$300-30=

$270

or

$300*.1=

30

$300-30=

$270

Answer:

C

Step-by-step explanation:

Equation 1:

[tex]1+\frac{\cos^{2} \theta}{\cot^{2} \theta(1-\sin^{2} \theta)}\\ \\ 1+\frac{\sin^{2} \theta}{\cos^{2} \theta} \\ \\ 1+\tan^{2} \theta \\ \\ \sec^{2} \theta[/tex]

Equation 2:

[tex]15\cos \theta \left(\frac{1}{\cos \theta}-\frac{\cot \theta}{\csc \theta} \right) \\ \\ 15\cos \theta \left(\frac{1}{\cos \theta}-\frac{\cos \theta / \sin \theta}{1/\sin \theta} \right) \\ \\ 15\cos \theta \left(\frac{1}{\cos \theta}-\cos \theta \right) \\ \\ 15\cos \theta \left(\frac{1-\cos^{2} \theta}{\cos \theta} \right) \\ \\ 15(1-\cos^{2} \theta) \\ \\ 15\sin^{2} \theta[/tex]

The number of ways when the choice is not relevant is 1716

The number of letters are:

Letter, n = 13

The letter to choose are:

r = 6

Relevant choice

When the choice is relevant, we have:

[tex]Ways = ^nP_r[/tex]

This gives

[tex]Ways = ^{13}P_6[/tex]

Evaluate

Ways = 241235520

Hence, the number of ways when the choice is relevant is 1235520

Not relevant choice

When the choice is not relevant, we have:

[tex]Ways = ^nC_r[/tex]

This gives

[tex]Ways = ^{13}C_6[/tex]

Evaluate

Ways = 1716

Hence, the number of ways when the choice is not relevant is 1716

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Answer:

a) ∠VUW

b) VY

c) XYV

d) 180°

e) 65°

Step-by-step explanation:

A central angle is an angle that creates an arc in a circle, while also having its vertex as the center of the circle.

Here the center is U. So, the vertex of the angle must include U.

This means that there are multiple answers to part a.

The answers can be:

∠VUW

∠WUX

∠XUV

A minor arc is any arc that doesn't exceed 180°.

The possible answers for part b, using this definition are:

WV

VY

XY

The answer you inputted here is incorrect.

The order of the letters matter.

A tip for you to never mess these up is to trace the letters you've chosen with your finger and see if that image you make with your finger matches up with the shape you wanted to make.

An arc that makes a semicircle is an arc that connects the endpoints of the diameter. The diameter in this case is VX.

This means that your answer must start with V and end with X, or the other way around. (Meaning you could start with x and end with v, but always make sure you keep the endpoints of the diameter as the endpoints of the arc.)

The possible answers for this part are either:

VYX or VWX

This arc intercepts the diameter, which is a straight line and a central angle.

The angle of a diameter is 180°.

The arc of an intercepted central angle has the same measure of the central angle itself.

So, the measure of VWX is 180°.

If an arc intercepts a central angle, then the arc has the same measure as the central angle.

This rule works the other way around, too.

So, the central angle has the same measure as the minor arc that it intercepts.

Measure of arc VUW is 65°, so m∠VUW is also 65°.

Answer:

The answer to your question is p = 10.50b

Step-by-step explanation:

Since you want to find p, you're looking for an equation that has

p = <something>

The last selection has this form

p = 10.50b

I hope this helps and have a good day!

The answers to the questions are:

a. p = { t, v, c, q}

b. {2, 6} ⊂  {2,6,8,12}

c. {0, 3} ⊄ {3,2,4,6}

To represent sets we use

p = { }

Hence

a. p = { t, v, c, q}

b. If 2 and 6 is a proper subset of  [ 2,6,8,12},

This can be represented as

{2, 6} ⊂  {2,6,8,12}

c. the set consisting of the elements 0 and 3 is not a subset of {3,2,4,6} is written as

{0, 3} ⊄ {3,2,4,6}

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Answer:

a = 43 degrees

b = 137 degrees

Step-by-step explanation:

according to the alternate interior angle theorem, angle a equals angle theta, so angle a = 43 degrees

angle b is the supplement of angle a, so angle b = 180-angle a, or 137

Answer:

The graph with a downward trend is the negative correlation

Step-by-step explanation:

Answer:

The Downward Slope or 'C' is the answer.

Step-by-step explanation:

Negative Slopes go down

Positive Slopes go up

Random Slopes are random

Scattered Slopes are scattered but together

Answer:

x=1

Step-by-step explanation:

[tex] \sqrt{( - 3 - x) ^{2} + {( - 2 - 3)}^{2} } = \\ \sqrt{ {(4 - x)}^{2} + {(5 - 3)}^{2} } \\ \\ 9 + 6x + {x}^{2} + 25 = \\ 16 - 8x + {x}^{2} + 4 = = = > \\ 34 + 6x = 20 - 8x = > \\ 14 = 14x = = = > x = 1[/tex]

Done

The value of x that makes up the coordinate of B is -1

To find the value of x, we need to determine the coordinates of point B.

Since A to (B) = B to (C), the distance from point A to point B is equal to the distance from point B to point C. The distance between two points in a coordinate plane can be calculated using the distance formula:

Distance = √((x₂ - x₁)² + (y₂ - y₁)²)

Let's calculate the distances:

Distance A to (B):

x₁ = -3 (x-coordinate of point A)

y₁ = -2 (y-coordinate of point A)

x₂ = x (x-coordinate of point B)

y₂ = 3 (y-coordinate of point B)

Distance A to (B) = √((x - (-3))² + (3 - (-2))²)

Distance A to (B) =√((x + 3)² + 5²)

Distance A to (B) = √(x² + 6x + 9 + 25)

Distance A to (B) = √(x² + 6x + 34)

Distance B to (C):

x₁ = x (x-coordinate of point B)

y₁ = 3 (y-coordinate of point B)

x₂ = 4 (x-coordinate of point C)

y₂ = 5 (y-coordinate of point C)

Distance B to (C) = √((4 - x)² + (5 - 3)²)

Distance B to (C) = √((4 - x)² + 2²)

Distance B to (C) = √((4 - x)² + 4)

Distance B to (C) = √(x² - 8x + 20)

Since A to (B) = B to (C):

√(x² + 6x + 34) = √(x² - 8x + 20)

Now, we can square both sides to get rid of the square root:

x² + 6x + 34 = x² - 8x + 20

Next, move all the x terms to one side of the equation:

x² - x² + 6x + 8x = 20 - 34

Combine like terms:

14x = -14

Finally, solve for x:

x = -14 / 14

x = -1

So the value of x is -1. Point B is located at (-1, 3).

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