A worldwide organization of academics claims that the mean IQ score of its members is 118, with a standard deviation of 17. A randomly selected group of 35 members of this organization is tested, and the results reveal that the mean IQ score in this sample is 116.8. If the organization's claim is correct, what is the probability of having a sample mean of 116.8 or less for a random sample of this size

Answers

Answer 1

Answer:

0.3372 = 33.72% probability of having a sample mean of 116.8 or less for a random sample of this size

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The mean IQ score of its members is 118, with a standard deviation of 17.

This means that [tex]\mu = 118, \sigma = 17[/tex]

Sample of 35:

This means that [tex]n = 35, s = \frac{17}{\sqrt{35}}[/tex]

What is the probability of having a sample mean of 116.8 or less for a random sample of this size?

This is the pvalue of Z when X = 116.8. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{116.8 - 118}{\frac{17}{\sqrt{35}}}[/tex]

[tex]Z = -0.42[/tex]

[tex]Z = -0.42[/tex] has a pvalue of 0.3372

0.3372 = 33.72% probability of having a sample mean of 116.8 or less for a random sample of this size


Related Questions

point a and point b are placed on a number line point a is located at -20 and point b is 5 less then point a Wich statement about point b is true​

Answers

Answer:

Step-by-step explanation:

D beause less then 5 that means it gose down the grid

Pls help me pls it’s

Answers

Q) What percentage of sudents who passed the test completed the review sheet

A)

19/27*100

=70.37%

Nearest 10th of a percent

=70%

write the first five terms of the sequence an=3n^2

Answers

Answer:

2,1,0 is the sequence of its terms

Select the best answer for the question.
7. There are 250 mL of D5W infusing at 33 gtt/
min on IV tubing calibrated at 10 gtt/mL. What is the
infusion time?
O A. 1 hour and 16 minutes
OB. 1.5 hours
O C. 1 hour
O D. 2 hours
Mark for review (Will be highlighted on the review page)
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FULL
non

Answers

Answer:

A. 1 hour and 16 minutes

Step-by-step explanation:

There are 250 mL of D5W infusing at 33 gtt/min on IV tubing calibrated at 10 gtt/mL.  Calculate the infusion time.

select "No IV pump"

volume = 250 mL

rate = 33 gtt/min

calibration = 10 gtt/mL

Actual formula:

250 /( 33 gtt/min

10x  60)= 1.26 Hours

0.26 x 60 = 16 minutes

So 1.26 Hours = 1 Hour & 16 minutes

hope this will help you


An inequality is two expressions that are
NOT equal, unlike an equation.
True
False

Answers

False have a good day

Select the correct answer

Answers

Answer:

number 3

Step-by-step explanation:

thats my calcue

Hmmmn well to be honest I don’t know

A bag contains 56 marbles: 7 red, 8 green, 11 yellow, 17 brown, and 13 blue.
If a marble is chosen at random, what is the probability that the marble is green?

A.1/5
B.1/6
C.1/7
D.1/8

Answers

Answer: D 1/8

Step-by-step explanation: hope this help

Answer:

1/5

Step-by-step explanation:

You count how many colors there are and make how many color as your denominator [5 colors(Red, Green, Blue, Yellow, and Brown)] and find out what color was picked as your numerator [Green(1 color)].

In a display at a museum, two planets have volumes of 8 cubic inches and 27 cubic
inches. What is the ratio of their diameters?
2:3
413.5
2:9
4:13.5

Answers

Answer:

2:3

Step-by-step explanation:

V = 4/3*pi*r^3

Diameter = 2r

The ratio of diameters of the two planets has volumes of 8 cubic inches and 27 cubic will be 2/3.

What is Ratio?

A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other such that they should not be divisible.

The upper number is called as the numerator and the lower is called the denominator.

For example, 3/4 where 3 will be numerator and 4 will be denominator.

Given that the In a display at a museum, two planets have volumes of 8 cubic inches and 27 cubic.

Now volume of planets(sphere) = πD³/6 where D is diameter of sphere

So volume of first planet / volume of second planet ∝ (dia or first)³/(dia of second)³

⇒ V₁/V₂  ∝ (D₁/D₂)³

Given that V₁/V₂ = 8/27

So 8/27 =  (D₁/D₂)³

D₁/D₂ = 2/3

Hence, the ratio of diameters of two planets will be 2/3.

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help! geometry

find the arc length of the shaded sector

arc length = blank cm

Answers

Answer:

Step-by-step explanation:

we need the arc length formula . it's Arc length = 2πr (θ/360)

Arc length = 2π5 (144/360)

Arc length = 12.56637 cm  

Plsssss help me with this angle circle problem what is x

Answers

Answer:

x = 3

Step-by-step explanation:

Once again we want to use the relationship stated earlier

Where A * B = C * D

Once again imagine that the segments in the given problem have letters

A = x

B = 12

C = x + 1

D = 9

Now we create an equation using the relationship

12 * x = 9(x+1)

now we solve using basic algebra

step 1 distribute the 9 to the x and the 1

9 * x = 9x

9 * 1 = 9

now we have 12x = 9x + 9

step 2 subtract 9x from each side

12x - 9x = 3x

9x - 9x cancels out

now we have 3x = 9

step 3 divide each side by 3

3x/3=x

9/3=3

we're left with x = 3

Answer:

x = 3 / C. 3

Step-by-step explanation:

Hope this helps

A rectangular swimming pool is 15 meters long, 11- meters wide, and 4-meters deep. What is its 2 2. volume? The volume is cubic meters.​

Answers

Answer:

the volume of the rectangular swimming pool is 660 meters cubic

Step-by-step explanation:

you multiply 15x11x4

What is the total area, in square centimeters, of the shaded sections of the trapezoid
below?
4.2 cm
7.2 cm
6.1 cm
8 cm
2
cm
Answer: A=

Answers

uhh file explication

Answer:

A=34.77 cm^2

Step-by-step explanation:


a. Find three rational numbers between 1/4 and 0.25 repeating
b. Find three rational numbers between 1/3 and 0.34 repeating

Answers

a. 0.250006, 0.250007, 0.250008
b. 0.3330001, 0.3330002, 0.3330003

By using the definition of rational numbers, we can get:

a)  0.2501,  0.2502,  0.2503b) 0.334, 0.335, 0.336

How to find rational numbers?

Remember that a rational number is a number of the form:

N = a/b

Where a and b are integer numbers. Also, any number with a finite number of digits (or infinite repeating) after the decimal point is a rational point.

a) First, we want to find 3 rational numbers between 1/4 and 0.252525...

We can rewrite:

1/4 = 0.25

Then we want to find 3 rationals between 0.25 and 0.2525...

For example, 0.2501 meets this requirement, is larger than 0.25 and smaller than 0.2525...

Another two examples will be 0.2502 and 0.2503

b) Now we have 1/3 = 0.333... and 0.3434...

3 rational numbers between these two are:

0.333... < 0.334 < 0.3434...

0.333... < 0.335 < 0.3434...

0.333... < 0.336 < 0.3434...

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help I'll give brainliest!!!
LMNP is rotated 180° clockwise around the origin. M 3, 4) N54) 2 RE PX90) What are the coordinates of L'? A. L'(1,0) B. L'(-1,0) c. l'(0,1) D. L'(0, -1) ​

Answers

Answer:

It’s (-3, -4)

Step-by-step

I did this program too.

13.) In 1990, a radio costs $25. Now,
the radio costs $5. What is the
percent of change?

Answers

Answer:

Step-by-step explanation:

             80% of 25 = 5

because 10% of 25 = 2.5

and then       10 x 8 = 80

so                2.5 x 8 = 20

                  25 - 20 = 5

therefore, the percentage change is 80%

GIVE BRAINLIEST

hope this helped,

-cheesetoasty

It has been reported that 8.7% of U.S. households do not own a vehicle, with 33.1% owning 1 vehicle, 38.1% owning 2 vehicles, and 20.1% owning 3 or more vehicles. The data for a random sample of 100 households in a resort community are summarized in the frequency distribution below. At the 0.05 level of significance, can we reject the possibility that the vehicle-ownership distribution in this community differs from that of the nation as a whole?
Number of Vehicles Owned Number of Households 0 20 1 35 2 23 3 or more 22 =100

Answers

Answer:

Here, the test statistics ( 20.951 ) is greater than the critical value ( 7.815 )

Therefore, we reject H₀ at 0.05 level of significance.

Hence, there is significant evidence to support the claim that In this community, vehicle ownership distribution is NOT like that of all U.S household

Step-by-step explanation:

Given the data in the question;

Number of vehicle owned                 Number of households

0                                                             20

1                                                              35

2                                                             23

3 or more                                               22

Total ( n )                                               100

so

Null hypothesis           H₀ : In this community, vehicle ownership distribution is like that of all U.S household

Alternative hypothesis Hₐ : In this community, vehicle ownership distribution is NOT like that of all U.S household

Also given that, ∝ = 0.05

Now, we compute the test statistics;

x² = ∑[ ( O[tex]_i[/tex] - E[tex]_i[/tex] ) / E[tex]_i[/tex] ]

where E[tex]_i[/tex] is expected frequency and O[tex]_i[/tex] is observed frequency.

so we make our table for chi square test statistics

No. of                 O[tex]_i[/tex]            P                E[tex]_i[/tex]            (O[tex]_i[/tex] - E[tex]_i[/tex])²             (O[tex]_i[/tex] - E[tex]_i[/tex])²/E[tex]_i[/tex]

Vehicle                                              (n×P)

owned

0                        20         0.087          8.7            127.69                 14.677

1                         35         0.331           33.1            3.61                     0.109

2                        23         0.381           38.1           228.01                 5.985

3 or more          22         0.201          20.1           3.61                      0.180

Total                  100                           100                                        20.951

hence, x² = 20.951

Now, degree of freedom df = k - 1 = 4 - 1 = 3

From Chi-Square critical value table; ( right tailed test ) for ∝ = 0.05

[tex]x_{0.05, 3[/tex] = 7.815

Decision Rule

Reject H₀ if x² is greater than xₐ².

Here, the test statistics ( 20.951 ) is greater than the critical value ( 7.815 )

Therefore, we reject H₀ at 0.05 level of significance.

Hence, there is significant evidence to support the claim that In this community, vehicle ownership distribution is NOT like that of all U.S household

Suppose y varies directly with x. Write an equation relating x and y.
y = -22.5 when x = 15
a.
b.
y = -0.75x
2
y=-3
c. y=-1.5x
d. y = 1.5x

Answers

It’s 10 by 2 but the integers should be 12 and the ans should be 11.

PLEASE HELP
What is the slope of the line shown below? (Enter your answer as a decimal if
necessary.)
(1, 2)
(-1, -4)

Answers

Answer:

-4-2/-1-1=-6/-2= 3

So the answer is 3


PLEASE HELP PLEASE

A girls' choir is choosing a uniform for their concert. They can pick red, green or
purple sweaters, and they can pick tan, white or black skirts. The shoes they need
come in gold and black. Assuming all combinations are acceptable, how many
different combinations can the choir pick?

Answers

Answer:

18

Step-by-step explanation:

Answer:   18 different outfit combinations

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

Explanation:

There are 3 colors to pick for the sweaters (red, green, purple).There are 3 colors for the skirts (tan, white, black)There are 2 colors for the shoes (gold, black)

Multiply out those values mentioned to get the final answer: 3*3*2 = 9*2 = 18.

There are 18 different outfit combos.

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

Further explanation (optional section):

Let's say we only worried about the sweaters and shoes, and for now there's only one color for the skirt. We have 3 colors for the sweaters and 2 for the shoes. Imagine a table with 3 rows and 2 columns. Each row is a different color for the sweater and each column is a different color for the shoe. There are 3*2 = 6 cells inside the table. Each cell is a different outfit.

For instance, we could have R = red sweater and G = gold shoe. Then that means RG = red sweater + gold shoe outfit. So we'd have RG as one of the cells of this 6 cell table.

Now imagine that we laid out a table that is 6 by 3. The 6 is from the 6 outfits calculated earlier, and the 3 is now accounting for the colors of the skirts. We'd then have 6*3 = 18 combos total. Again, each cell inside the table represents a different outfit combo.

Plz help me well mark brainliest if you are correct!!

Answers

Answer:

3

Step-by-step explanation:

1 hour = 60 minutes.

1/4 of an hour = 60 minutes / 4 = 15 minutes.

15 minutes / 5 minutes segments = 3

There are 3 five-minute segments in 1/4 of an hour

Answer:

C.

Step-by-step explanation:

Answer is C. because there are a total of 60 minutes in 1 hour. We know that there is 30 minutes in half a hour. Half of 30 minutes is 15 minutes and it takes 3 five minute segments to get 15 minutes.

You can do it like this 60 * 1/4 = 60/4

60/4 = 15/1

15 = 5 * 3

Help me with my homework, please

Answers

Answer:

150°

Step-by-step explanation:

We know each angle in a equilateral triangle is 60° and that of a rectangle is 90° . So ,

[tex]\implies \angle ABC = \angle DBC + \angle ABD \\\\\implies \angle ABC = 90^o + 60^o \\\\\implies \boxed{\boxed{ \angle ABC = 150^o }}[/tex]

IF YOU GIVE RIGHT ANSWER=BRAINLIEST GUYS PLZZZ HELP!!! LINKS WILL BE REPORTED!!!

Answers

Answer:

5 cm

Step-by-step explanation:

Volume of a cylinder = π*radius^2*height

675π = π * radius^2 * 27

radius^2 = 25

radius = 5 cm

Answer:

Step-by-step explanation:

V=pi x r^2 x h

r^2 = 675pi / (pi x 27) = 25

r = 5

What linear expression would you add to -4y+2 to have a sum of y

Answers

Answer:

4

Step-by-step explanation:

HELPPPPP WILLLLL AMRK BRAINLIESTTTTTT

Answers

I think it’s c but I’m sorry if it wrong

Find the measure of 43.
43
75
43 = [?]

Answers

Answer:

<3=105°

Step-by-step explanation:

The angle directly to the right of the 75° angle is 105°, as the angles along a straight line add to 180.

<3=105° because they are corresponding angles

Answer:

Solution given:

<3+75=180[co- interior angle]

<3=180°-75°=105°

<3=105°

When electricity (the flow of electrons) is passed through a solution, it causes an oxidation-reduction (redox) reaction to occur. If the solution contains a metal cation such as Ag+, the flow of electrons will reduce the silver ion, causing solid silver to plate onto the electrode. The amount of metal plated depends on the number of electrons passed. The total charge of a mole of electrons is 96, 485 coulombs (C) and 1 ampere = 1 coulomb/second (C/s).
What mass of Cu(s) is electroplated by running 28.5 A of current through a Cu2+ (aq) solution for 4.00 h? Express your answer to three significant figures and include the appropriate units.
How many minutes will it take to electroplate 37.1 g of gold by running 5.00 A of current through a solution of Au+(aq)? Express your answer to three significant figures and include the appropriate units.

Answers

Answer:

a. 135 g

b. 60.6 min

Step-by-step explanation:

a. What mass of Cu(s) is electroplated by running 28.5 A of current through a Cu2+ (aq) solution for 4.00 h? Express your answer to three significant figures and include the appropriate units.

The chemical equation for the reaction is given below

Cu²⁺(aq) + 2e⁻ → Cu(s)

We find the number of moles of Cu that are deposited from

nF = It where n = number of moles of electrons, F = Faraday's constant = 96485 C/mol, I = current = 28.5 A and t = time = 4.00 h = 4.00 × 60 min/h × 60 s/min = ‭14,400‬ s

So, n = It/F = 28.5 A × ‭14,400‬ s/96485 C/mol = ‭410,400‬ C/96485 C/mol = 4.254 mol

Since 2 moles of electrons deposits 1 mol of Cu, then 4.254 mol of electrons deposits 4.254 mol × 1 mol of Cu/2 mol = 2.127 mol of Cu

Now, number of moles of Cu = n' = m/M where m = mass of copper and M = molar mass of Cu = 63.546 g/mol

So, m = n'M

= 2.127 mol × 63.546 g/mol

= 135.15 g

≅ 135 g to 3 significant figures

b. How many minutes will it take to electroplate 37.1 g of gold by running 5.00 A of current through a solution of Au+(aq)?

The chemical equation for the reaction is given below

Au⁺(aq) + e⁻ → Au(s)

We need to find the number of moles of Au in 37.1 g

So, number of moles of Au = n = m/M where m = mass of gold = 37.1 g and M = molar mass of Au = 196.97 g/mol

So, n = m/M = 37.1 g/196.97 g/mol = 0.188 mol

Since 1 mol of Au is deposited  by 1 moles of electrons, then 0.188 mol of Au deposits 0.188 mol of Au × 1 mol of electrons/1 mol of Au = 0.188 mol of electrons

We find the time it takes to deposit 0.188 mol of electrons that are deposited from

nF = It where n = number of moles of electrons, F = Faraday's constant = 96485 C/mol, I = current = 5.00 A and t = time

So, t = nF/It

= 0.188 mol × 96485 C/mol ÷ 5.00 A

= ‭18173.30‬ C/5.00 A

= 3634.66 s

= 3634.66 s × 1min/60 s

= 60.58 min

≅ 60.6 min to 3 significant figures

What is the probability of choosing a 6 of clubs that's also a red card from a deck of cards? Type your answer as a fraction.

Answers

Answer: [tex]\dfrac{1}{52}[/tex]

Step-by-step explanation:

Given

We need to choose 6 of clubs that's also a red

A deck contains 13 cards of clubs, and 6 of clubs is the only red card i.e. favorable outcome is 1 out of 52 cards

Probability is the ratio of favorable to the total outcomes

[tex]\Rightarrow P=\dfrac{1}{52}[/tex]

a machine shop has a fixed cost of $2000 to produce new bolts. The cost of materials and labor to produce each individual bolt is $8.50. Which of the following functions models the average cost per bolt for the company to produce x bolts, where
x>1?

Answers

Answer:

(8.50x + 2000)/x and x>1

Step-by-step explanation:

Well, this may not be the exact answer, as it seems you have the choices unlisted--if they even exist at all. But, I'll make do with what I've provided, so

In the question, it says the collective cost for each individual bolt is $8.50, and that we can use the variable x to represent the number of bolts the company wishes to produce. So, this can be shown using 8.50x.

The fixed cost is set in stone, so no alterations need to be applied, and only cause the total to amount to a greater number. So, we end up with (8.50x + 2000)/x and x>1 is the rule for the values of x. Essentially, all that means is that the company will always produce more than one bolt.

If you are trying to build credit by using a credit card, each time you make a purchase with the credit card, deduct that amount from your checking account. That way, when your credit card bill is due, you will have enough to pay the credit card off in full. Kathy Lehner is going to start doing this. She plans on paying her credit card bill in full this month. How much does she owe with a 6% APR and the following transactions? (Round your answer to the nearest cent.)

31-day billing cycle
10/1 Previous balance $ 1,164
10/3 Credit $ 79 cr.
10/12 Charge: King Soopers $ 148
10/15 Payment $ 310 cr.
10/25 Charge: Delta $ 321
10/30 Charge: Holiday Fun $ 61

What would be the amount owed?

Answers

Answer:

12593

Step-by-step explanation:

tell me if this hepls

Ur should be noted that Kathy Lehner owes approximately $1,311.97.

How to calculate the amount

Previous balance (10/1): $1,164

Credit (10/3): $79 credit. This reduces the balance, so the new balance is $1,164 - $79 = $1,085.

Charge: King Soopers (10/12): $148 charge. This increases the balance, so the new balance is $1,085 + $148 = $1,233.

Payment (10/15): $310 credit. This reduces the balance, so the new balance is $1,233 - $310 = $923.

Charge: Delta (10/25): $321 charge. This increases the balance, so the new balance is $923 + $321 = $1,244.

Charge: Holiday Fun (10/30): $61 charge. This increases the balance, so the new balance is $1,244 + $61 = $1,305.

Interest calculation: $1,305 * (6% * (31/365)) = $6.9698 (rounded to the nearest cent, which is $6.97).

Finally, to determine the total amount owed, we add the balance and the interest:

Total amount owed: $1,305 + $6.97 = $1,311.97

Therefore, Kathy Lehner owes approximately $1,311.97.

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The posted speed limit is 45 miles per hour.
Choose all the metric measures that are faster than 45 miles
per hour.

A. 45 km per hour

B. 64.1 km per hour

C. 86.4 km per hour

D. 91 km per hour

E. 112.3 km per hour

Answers

A 45 km & B 64.1 km is the answer
Other Questions
Can someone help me with this one. Thank you. What is the value of y in the solution to the system of equations?3x + 4y = 303x + 5y = 33 The Sumerians, Babylonians, and Phoenicians trades goods as far as Africa, Asia , and Europe, and their main exports were Read the statement below and then select true or false. Chinese workers first began to arrive in the United States in large numbers in the mid-1800s. They worked in mines and on railroads in the West. The rectangle ABCD is reflected across the y-axis. What are thecoordinates of the vertex A'? Select the correct answer.What does a touch ring allow an artist to do on a digital tablet?O A draw shapes using it like a penOB. right-click and double-click like a mouseO c. draw and modify strokesOD. select an activity from the menu list Write the equation of the circle graphed below List at least 5 items that must be included in a fitness journal. Ms. Roberts studied her students' geography test scores and sleeping habits. She found that students who slept less tended to earnlower scores on the test. What conclusion should she make? In order for the data in the table to represent a linear function with a rate of change of +5, what must be the value of a?a = 3a = 8a = 18a = 33 Plz help me well mark brainliest if you are correct!! What is it called when an individual changes their behavior to match the group's, butmaintains some cognitive dissonance because they do not change their attiudes or beliefs?Normative social conformityPersuasionInformative social conformityObedience Please Help me for real not joking.It 100% my grade One way to measure ionization energies is ultraviolet photoelectron spectroscopy (UPS, or just PES), a technique based on the photoelectric effect. In PES, monochromatic light is directed onto a sample, causing electrons to be emitted. The kinetic energy of the emitted electrons is measured. The difference between the energy of the photons and the kinetic energy of the electrons corresponds to the energy needed to remove the electrons (that is, the ionization energy). Suppose that a PES experiment is performed in which mercury vapor is irradiated with ultraviolet light of wavelength 58.4 nm.(a) What is the energy of a photon of this light in eV?(b) Write an equation that shows the process corresponding to the first ionization energy of Hg.(c) The kinetic energy of the emitted electrons is measured to be 10.75 eV. What is the first ionization energy of Hg in kJ/mol? which statement is not part of cell theory ? Select the correct answer 7. Complte la phrase avec le pronom relatif adquat : Cest un travail ____ je veux! *5 pointsquiquedontquel8. Complte la phrase avec le pronom relatif adquat : Cest un film____ est trs romantique! *5 pointsquiquedontquelle9. Parmi les verbes suivants, lequel nest PAS au subjonctif? *5 pointsTu soisNous parlonsVous mangiezIls puissent10. Quelle est la bonne forme du subjonctif de venir ? *5 pointsJe vienneJe venaisJe viendraisJe vins help I'll give brainliest!!!LMNP is rotated 180 clockwise around the origin. M 3, 4) N54) 2 RE PX90) What are the coordinates of L'? A. L'(1,0) B. L'(-1,0) c. l'(0,1) D. L'(0, -1) In a cookie jar containing 66 chocolatechip cookies, 88 wafer cookies and 1010double chocolate cookies, what is theprobability that a person who isn't lookingwhen they get a cookie will get a chocolatechip cookie? If you are trying to build credit by using a credit card, each time you make a purchase with the credit card, deduct that amount from your checking account. That way, when your credit card bill is due, you will have enough to pay the credit card off in full. Kathy Lehner is going to start doing this. She plans on paying her credit card bill in full this month. How much does she owe with a 6% APR and the following transactions? (Round your answer to the nearest cent.)31-day billing cycle10/1 Previous balance $ 1,16410/3 Credit $ 79 cr. 10/12 Charge: King Soopers $ 148 10/15 Payment $ 310 cr. 10/25 Charge: Delta $ 321 10/30 Charge: Holiday Fun $ 61 What would be the amount owed?