five different names were put into a hat. A name is chosen 111 times and the name Karen is chosen 29 times. What is the experimental probability of the name Karen being​ chosen? What is the theoretical probability of the name being​ chosen? Use pencil and paper. Explain how each probability would change if the number of names in the hat were different.

Answer:

[tex]t_{0.35,14}= 0.3933306[/tex]

Step-by-step explanation:

From the question we are told that:

Degree of freedom [tex]df=14[/tex]

Significance Level [tex]\alpha=0.35[/tex]

Generally the expression for critical value t is mathematically given by

  [tex]t_{\alpha,df}[/tex]

  [tex]t_{0.35,14}[/tex]

Therefore From Students T Value Table

 [tex]t_{0.35,14}= 0.3933306[/tex]

 [tex]T-Value (right-tailed): 0.3933306[/tex]

Answer:

D. ASA

Step-by-step explanation:

In the figures given,

<A and <B in ∆ABC are congruent to corresponding angles <X and <Y in ∆XYZ in ∆XYZ.

Also, an included side AB in ∆ABC is congruent to a corresponding included side XY in ∆XYZ.

According to the ASA triangular theorem, two ∆s are congruent to each other when they have two corresponding angles in each of the triangles that are congruent to each other and an included side that is also congruent to each other.

Therefore, ∆ABC is congruent to ∆XYZ based on the ASA theorem.

Answer:

Function 1: exponential

Function 2: exponential

Function 3: quadratic

Step-by-step explanation:

I used a graphing calculator.

Hope this helps:)

Answer:

17.1≤x≤23.1

Step-by-step explanation:

The formula for calculating the confidence interval is expressed as;

CI = x ± z*s/√n

x is the mean yield = 20.1

z is the 80% z-score = 1.282

s is the standard deviation = 7.66

n is the sample size =  11

Substitute

CI = 20.1 ± 1.282*7.66/√11

CI = 20.1 ± 1.282*7.66/3.3166

CI = 20.1 ± 1.282*2.3095

CI =  20.1 ±2.9609

CI = (20.1-2.9609, 20.1+2.9609)

CI = (17.139, 23.0609)

hence the required confidence interval to 1dp is 17.1≤x≤23.1

Answer:

Test statistic = - 0.851063

- 2.520463

Step-by-step explanation:

H0 : μ ≥ 15

H1 : μ < 15

Sample mean, xbar = 14.5

Sample standard deviation, s = 4.7

Sample size = 64

Teat statistic :

(xbar - μ) ÷ (s/√(n))

(14.5 - 15) ÷ (4.7/√(64))

= - 0.851063

The critical value at α = 0.05

Using the T - distribution :

Degree of freedom, df = 64 - 1 = 63

Tcritical(0.05, 63) = 1.6694

Test statistic - critical value

-0.851063 - 1.6694

= - 2.520463

Answer:

x - y = 3(x + 2)

Step-by-step explanation:

The difference of x and y is the same as 3 times the sum of x and 2

x - y = 3(x + 2)

x - y = 3x + 6

Answer:

spoke out of term and with no true option.

Answer:

x=50

Step-by-step explanation:

It is a line so it should be 180 degrease. You already have two of the angles and to find the third (x) you just need to subtract them from 180. 180-105=75, and 75-25 is 50, so x is 50.

Answer: x=50 degree

Step-by-step explanation: angle in a straight line is equal to 180 degrees.

Given;

25 degrees &

105 degrees.

180– (105+25)

180– 130

= 50degrees

Answer:

no

Step-by-step explanation:

6x² + 4x - 10 in factored form is:

2(3x+5)(x-1)

Answer:

Assuming that you actually mean that if [tex](x+2)[/tex] is a factor of [tex]x^{3}+6x^{2}+3x-10[/tex], the answer is yes.

Step-by-step explanation:

We need to do long division of the polynomial to figure out if this is true. I would show it here, but it is extremely difficult to do so. (Maybe someone could help me.) When I factor it, it does not leave a remainder, so this is true.

[tex]x^{3}+6x^{2}+3x-10= (x+2)(x^2+4x-5)[/tex]

Another way one could figure this out is by graphing the equation [tex]x^{3}+6x^{2}+3x-10[/tex] on your graphing calculator or on just a graphing website, lake Desmos. The screenshot below shows the graph.

The polynomial will have a factor of [tex](x-c)[/tex] if the point [tex](0,c)[/tex] exists on the graph. The graph has the following three zeroes.

[tex](0,-2)[/tex], [tex](0, -5)[/tex], and [tex](0,1)[/tex]

As such, it has the three factors [tex](x-(-2))[/tex], [tex](x-(-5))[/tex], and [tex](x-1)[/tex].

Since [tex](x-(-2)=(x+2)[/tex], it is a factor of the polynomial.

Answer: Annual Fee

Step-by-step explanation:

The options include:

a. Late Payment Fee

b. Balance Transfer Fee

c. Cash Advance Fee

d. Annual Fee

The reason for the fee of $69.45 charged will be due to the late payment fee which is as a result of failing to make a payment by a due date.

Other reasons for the fee include the balance transfer fee which is the charged by the lender in order to transfer an existing debt that's incurred by another lender. The cash advance fee is also another reason for the charges.

Therefore, the correct answer to the question is annual fee.

9514 1404 393

Answer:

Step-by-step explanation:

A couple of different references are used when talking about angles in the x-y coordinate plane. Conventionally, angles are measured CCW from the +x axis of the plane. This is the reference usually used in physics problems involving acceleration, velocity, and displacement.

If the angles refer to bearings on a map, the usual mapping is north = +y, east = +x, and angles are measured CW from north. This is the reference usually used in (flat earth) navigation problems involving airspeed and ground speed.

We cannot tell the intended meaning of "direction angle" here, hence there are two answers. Take your choice.

__

If the angle is measured counterclockwise from the +x direction, the (x, y) coordinates of the vector (137; 235°) are ...

  (x, y) = 137(cos(235°), sin(235°))

  (x, y) = (-78.58, -112.22)

The y-component is -112.22 miles per hour.

__

If the "direction angle" is a bearing measured clockwise from the +y direction, then the x- and y-coordinates are swapped from those listed above.

  (x, y) = (-112.22, -78.58)

The y-component is -78.58 miles per hour.

_____

Additional comment

We say this is "flat earth" navigation because any serious navigation calculation must take into account the Earth's curvature. A path that follows a great circle will not have a constant compass bearing except along the equator or a longitude line.

Answer:

gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg

Step-by-step explanation:

The equivalent value of the function is f ( a ) = ( 1/6 ) , when a > 3

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = 1 / ( x + 2 )

Now , the value of x > 3

So , the value of f ( x ) = f ( a )

And , when x > 3

f ( 4 ) = 1 / ( 4 + 2 )

f ( 4 ) = 1 / 6

Hence , the function is f ( 4 ) = 1 / 6

To learn more about function rule click :

https://brainly.com/question/3760195

#SPJ1

Answer:

4. x = 6

5. x = 31

6. x = 34

Step-by-step explanation:

4. vertical angles

- 36/6 = 6

5. supplementary angles

180 - 56 = 124

124/4 = 31

6. complementary angle

90 - 22 = 68

68/2 = 34

Answer:

4. x = 6°

5. x = 31°

6. x = 34°

Step-by-step explanation:

4. Vertical Angles theorem states that the two opposite angles formed by 2 intersecting lines are congruent.

6x = 36°

x = 36 / 6

x = 6°

5.

180° - 56° = 4x

124° = 4x

x = 31°

6.

90° - 22° = 2x

68° = 2x

x = 34°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

I will have to work 11 hours to take my parents to a $ 120 cost dinner, and I will have $ 1 left in return.

If I wanted to tip 15%, I would have to work 13 hours and have $ 5 left over.

In turn, to determine the money generated from an indeterminate number of hours worked, the applicable formula would be 11X = Y, where Y is the money generated and X is the number of hours worked.

Step-by-step explanation:

Since I have just gotten my first job, and I have decided I want to take my parents out for dinner to celebrate and I have anticipated it will cost approximately $ 120 for the three of us to go out for dinner, and at my job, I make an hourly wage of $ 11, to determine how many hours would I need to work to pay for the dinner, and what if I wanted to add a 15% tip, and determine if my strategy could also allow me to find out how much money and or made for any number of hours, the following calculations must be performed:

120/11 = X

10.9 = X

11 x 11 = 121

Therefore, I will have to work 11 hours to take my parents to a $ 120 cost dinner, and I will have $ 1 left in return.

(120 x 1.15) / 11 = X

138/11 = X

12.54 = X

11 x 13 = 143

Therefore, if I wanted to tip 15%, I would have to work 13 hours and have $ 5 left over.

In turn, to determine the money generated from an indeterminate number of hours worked, the applicable formula would be 11X = Y, where Y is the money generated and X is the number of hours worked.

Answer:

[tex]x = 8.64^o[/tex]

Step-by-step explanation:

Given

The attached rectangle

Required

Find x

To do this, we make use of:

[tex]11x - 5 = 90[/tex] ---- angle at diagonal

Collect like terms

[tex]11x = 5 + 90[/tex]

[tex]11x = 95[/tex]

Solve for x

[tex]x = \frac{95}{11}[/tex]

[tex]x = 8.64^o[/tex] --- approximated

Answer:

B. 8cm*12cm

Step-by-step explanation:

Area is the product of the two sides:

6*16 = 96

8*12 = 96

10*10 = 100

Perimeter is the sum of all four sides:

6+16+6+16 = 44

8+12+8+12 = 40

The answer is B. 8cm*12cm

Answer:

0.30 you divided the total by the number of units which is 4

Answer:

£ 0.3

Step-by-step explanation:

Given that , a pack of 4 chocolates costs £1.20. We need to find cost of one chocolate .

=> 4 chocolates costs £1.20 .

=> 1 chocolate will cost £1.20/4 = £ 0.3

Answer:

The null hypothesis is [tex]H_0: \mu = 6658[/tex]

Tha alternate hypothesis is [tex]H_a: \mu > 6658[/tex]

The decision rule is that if [tex]t < 1.976[/tex], the null hypothesis is not rejected, that is, there is no evidence to conclude that these households paid more interest than the survey result, and that if [tex]t > 1.976[/tex], the null hypothesis is reject and there is evidence to conclude that these households paid more interest than the survey result.

The test statistic is [tex]t = 1.94[/tex]

As the test statistic of [tex]t = 1.94[/tex] is higher than the critical value of t, it is reasonable to conclude that these households paid more interest than the survey result

Step-by-step explanation:

A recent survey by nerdwallet indicated Americans paid a mean of $6,658 interest on credit card debt in 2017. Test if it is reasonable to conclude that these households paid more interest than the survey result.

At the null hypothesis, we test if they paid the same, that is:

[tex]H_0: \mu = 6658[/tex]

At the alternate hypothesis, we test if they paid more, that is:

[tex]H_a: \mu > 6658[/tex]

Test statistic:

The test statistic is:

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

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

State the decision rule for 0.05 significance level.

Right-tailed test(test if the mean is higher than the value) with 12 - 1 = 11 degrees of freedom, has a critical value of t = 1.976.

So

The decision rule is that if [tex]t < 1.976[/tex], the null hypothesis is not rejected, that is, there is no reasonable evidence to conclude that these households paid more interest than the survey result, and that if [tex]t > 1.976[/tex], the null hypothesis is reject and there is reasonable evidence to conclude that these households paid more interest than the survey result.

6658 is tested at the null hypothesis:

This means that [tex]\mu = 6658[/tex]

Sample mean and standard deviation:

With the given data-set:

Mean of [tex]X = 7163.6[/tex]

Standard deviation of [tex]s = 902.25[/tex]

Sample of 12:

This means that [tex]n = 12[/tex]

Compute the value of the test statistic.

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

[tex]t = \frac{7163.6 - 6658}{\frac{902.25}{\sqrt{12}}}[/tex]

[tex]t = 1.94[/tex]

As the test statistic of [tex]t = 1.94[/tex] is higher than the critical value of t, it is reasonable to conclude that these households paid more interest than the survey result

Answer:

the answer is Hence, a leap year has 52 Sundays

Step-by-step explanation:

I hope this helps

Answer:

u² + 2u + 1

Step-by-step explanation:

In the question it's asking to find the the number in the blank to make the expression a perfect square.

Let the number in the blank be 'x'.

To guess 'x' , use the algebraic identity :- [tex](a + b)^2 = a^2 + (2 \times a \times b) + b^2[/tex]

While matching the expression with identity , the expression will look like this :- u² + 2ux + x²

In the expression given in the question , it's "2u" but after matching the expression with identity , it is found to be "2ux".

⇒ x = 1 (∵ If x will be 1 , then 2ux = 2×u×1 = 2u)

⇒ x² = 1

∴ The number in the blank is 1.

I think you forgot to attach the picture w/ the question . .

Answer:

Volume of a cylinder.

Step-by-step explanation:

The given equation is :

[tex]V=\pi r^2 h[/tex]

Where

r is the radius

h is the height

This equation is used to find the volume of a cylinder.

For example, a cylinder having radius of 7 units and height of 10 units, its volume will be :

[tex]V=\dfrac{22}{7}\times 7^2\times 10\\\\V=1540\ \text{unit}^2[/tex]

So, the given equation is used to find the volume of a cylinder.

Answer:

[tex]\angle 2 = 48[/tex]

Step-by-step explanation:

Given

[tex]\angle 1 = 48[/tex]

Required

Find [tex]\angle 2[/tex]

[tex]\angle 1[/tex] and [tex]\angle 2[/tex] are vertically opposite angles.

So:

[tex]\angle 2 = \angle 1[/tex]

Substitute [tex]\angle 1 = 48[/tex]

[tex]\angle 2 = 48[/tex]

9514 1404 393

Answer:

  (x, y) = (61/23, 36/23)

Step-by-step explanation:

We assume you intend the equations to be ...

Then in general form, they are ...

  5x -4y -7 = 0

  2x +3y -10 = 0

The solution using the "cross multiplication method" is ...

  1/(15 +8) = x/(40+21) = y/(-14 +50)

  (x, y) = (61/23, 36/23)

_____

Comment on "cross multiplication method"

When the coefficients from the general form equations are written as a 2×4 array with the first and last columns the same ...

  [tex]\left\{\begin{array}{cccc}5&-4&-7&5\\2&3&-10&2\end{array}\right\}[/tex]

the solution is 1/d1 = x/d2 = y/d3, where d1, d2, d3 are the determinants of successive pairs of columns.

Answer:

x > 2

Step-by-step explanation:

x + 1 > 3

Subtract 1 from both sides

x + 1 - 1 > 3 - 1

x > 2

Answer:

Minor Sector

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Answer:

it's not

Step-by-step explanation: