A football team is known to run 30% of its plays to the left and 70% to the right. A linebacker on an opposing team notices that, when plays go to the right, the right guard shifts his stance most of the time (80%) and that he uses a balanced stance the remainder of the time. When plays go to the left, the guard takes a balanced stance 90% of the time and the shift stance the remaining 10%. On a particular play, the linebacker notes that the guard takes a balanced stance. (a) What is the probability that the play will go to the left

Answers

Answer 1

Answer: 0.6585

Step-by-step explanation:

Given the following :

Proportion of play to the left = 30% = 0.3

Proportion of play to the right = 70% = 0.7

Play to the right:

Shift stance = 80% = 0.8

Balanced stance = (1 - 0.8) = 0.2

Play to the right with balanced stance = (0.2 × 0.7) = 0.14

Play to the right with shifted stance = (0.8 × 0.7) = 0.56

Play to the left:

Balanced stance = 90% = 0.9

Shifted stance = (1 - 0.9) = 0.1

Play to the left with balanced stance = (0.9 × 0.3) = 0.27

Play to the left with shifted stance = (0.9 × 0.3) = 0.03

Probability that play will go to the left if the linebacker takes a balanced stance :

Overall proportion of play with balanced stance :

Balanced with play to the right + balanced with play to the left = (0.14 + 0.27) = 0.41

Balanced play to the left = 0.27

= (balanced play to the left / total proportion of balanced stance)

= 0.27 / 0.41

= 0.6585365

= 0.6585


Related Questions

Guys please help me it’s geometry and I really don’t know how to do these

Answers

m is the midpoint of AB

A——4x-1———M——3x+3—-B

Find the values of

X=

AM=

MB=

AB=

Since this is like a line, we know it totals up to 180°.

A + (4x-1) + M + (3x+3) + B = 180

Simplify the two values with "x" in them

(7x+2) + A + M + B = 180

First, let's find x.

7x = 178-A-M-B

x = [tex]\frac{178-A-M-B}{7}[/tex]

Next, let's find AM.

A + M + B = 178-7x

A+M = 178-7x-B

[tex]A = (178-7x-B) - M \\ and \\M = (178-7x-B)-A[/tex]

multiply them together and get the answer then do the same for everything else.

sorry i cant help with everything.

Your credit card has a balance of $5400 and an annual interest rate of 17%. You decide to pay off the balance over two years. If there are no further purchases charged to the card, you must pay $266.94 each month, and you will pay a total interest of $1006.56. Assume you decide to pay off the balance over one year rather than two. How much more must you pay each month and how much less will you pay in total interest?

Answers

Answer:

5400/12= 450 paid

1006.56/2=503.28 interest

total is 5,903.28

total for paid 491.94 for months

Step-by-step explanation:


A train travels at 60 mi/hr for 2.5 hours. How far did it travel?

Answers

Answer:

150 mi

Step-by-step explanation:

60 mi × 2.5 hr = 150 mi

Answer:

150 miles

Step-by-step explanation:

60 mi/hr for 2.5 hours

60 x 2.5

The train traveled for 150 miles

PLESE HELP ill GIVE BRANILY

Solve for x. 3.5(7-x)+32=106-1.5(4x+18)

Answers

Answer:

X=9

Step-by-step explanation:

3.5(7−x)+32=106−1.5(4x+18)

Step 1: Simplify both sides of the equation.

3.5(7−x)+32=106−1.5(4x+18)

(3.5)(7)+(3.5)(−x)+32=106+(−1.5)(4x)+(−1.5)(18)(Distribute)

24.5+−3.5x+32=106+−6x+−27

(−3.5x)+(24.5+32)=(−6x)+(106+−27)(Combine Like Terms)

−3.5x+56.5=−6x+79

−3.5x+56.5=−6x+79

Step 2: Add 6x to both sides.

−3.5x+56.5+6x=−6x+79+6x

2.5x+56.5=79

Step 3: Subtract 56.5 from both sides.

2.5x+56.5−56.5=79−56.5

2.5x=22.5

Step 4: Divide both sides by 2.5.

2.5x

2.5

=

22.5

2.5

x=9

Answer:

i think it maybe be x  = 9, i'm not sure though

15 ÷ 13965 long division​

Answers

Answer:

0.001

Step-by-step explanation:

We have the equation:

15 ÷ 13965 = 0.001

Calculated to 3 decimal places.

Now see the attachment,

An object is moving at a speed of 7 feet per minute. Express this speed in meters per second.

Answers

Answer:

2.1 mpm

Explanation:

1ft = 0.3048 m

[tex]0.3048*7=2.1336[/tex]

The given speed in meters per second is 0.00356 m/sec.

Given that, an object is moving at a speed of 7 feet per minute.

We need to express this speed in meters per second.

How to convert feet per minute to meters per second?

Feet per minutes. In SI units [tex]5.08 \times 10^{-3}[/tex] meters per second.

Meters per second is the base unit for measuring velocity or speed in the International System of Units (SI). Speed is a measure of distance travelled over time, velocity is speed in a given direction. 1 meter travelled over a period of 1 second = 1 m/s.

For an approximate result, divide the speed value by 1969.

Now, 7/1969=0.003555

≈0.00356

Therefore, the given speed in meters per second is 0.00356 m/sec.

To learn more about the speed visit:

https://brainly.com/question/7359669.

#SPJ2

A frog in a well is 23 feet below the ground level. It jumps 16 feet and eats a fly (gross!).
How far was the fly from the ground level. Approximately.​

Answers

Greetings! Hope this helps!

Answer

7 feet

Explanation

23-16=7

Have a good day!

_______________

A brainliest would help tons! :D

The function c(x)=6+8x gives the cost in dollars to rent one bicycle for x hours. What is the meaning of c^-1(10) in this situation?

A. The cost of renting bicycles for 10 hrs

B. The cost of renting 10 bicycles

C. The number of hours you can rent a bicycle for $10

D. The number of bicycles you can rent for $10

Answers

Answer:F

Step-by-step explanation:

This table shows the five most common elements in the earth's crust along with the
percent of the crust that each element composes. About what percent more is
oxygen than silicon?

Answers

Answer:

18.88 more percent

Step-by-step explanation:

46.60-27.72 =18.88 meaning, it has 18.88 more percent than silicon

Answer:

Step-by-step explanation:

18.88 more percent

what is the answer to 2(x - 5) = 10

Answers

Answer:

0 must be correct answer

answer - x must equal 10
explanation- 10-5=5 and 5 x 2 = 10

Instead of numbers satisfies Binfords law if the probability of a number starting with digit d is p(d)=log (d+1)-log(d) The probability of a particular digit is more than 8% the graph represents the situation which values are included in the solution set

Answers

Answer:

B and E

Step-by-step explanation:

i took the test

A questionnaire was sent to 34,000 randomly chosen individuals living in USA asking about their current and past smoking habits. For those who answered the questionnaire, they are tracked in the next 10 year for the death rate. Their data was pulled from the health record database so that if they died, the death is recorded with the diagnosis of the cause of the death. The death rates due to heart disease among the smokers and nonsmokers are then compared to see if smoking causes heart disease. What is the targeted population

Answers

Answer:

The targeted population is USA residents who died of heart disease.

Step-by-step explanation:

According to this case, "the death rates due to heart disease among the smokers and nonsmokers are compared to see if smoking causes heart disease."  This implies that the study targets those USA residents who died of heart disease to find out if the cause of death can be traced to heart disease caused by smoking or not.  The main concentration for the study defines the targeted population.  It is this group of residents who died of heart disease that is the population of interest.  This means that the targeted population is a certain group of the population that share similar characteristics, especially death resulting from heart disease caused by smoking.

alyssa reads 7 1/2 pages of her book in 9 minutes ? what is her adverge reading rate in pages per minutes

Answers

Answer:

15/18 pages per minute

Step-by-step explanation:

[tex]7 \frac{1}{2} = \frac{7 \times 2 + 1}{2} = \frac{14 + 1}{2} = \frac{15}{2} \\ \\ average \: reading \: rate \\ = \frac{ \frac{15}{2} }{9} \\ \\ = \frac{15}{2 \times 9} \\ \\ = \frac{15}{18} \: pages \: per \: minute[/tex]

NEED HELP ASAP WILL MARK BRANLIEST!!!!!!

Answers

The heck, what math are you in?
what is that what lol

find the value of X.

Answers

2+3x=62

3x=60

x=20

Hope this helps! Brainliest? :D

Jack bought 5.94 pounds of beef for dinner. What is the first step in rounding this number to the nearest​ tenth? What is the next​ step? What is 5.94 rounded to the nearest​ tenth?
The first step in rounding to the nearest tenth is to look at the digit to the

right
left
of the tenths place

Answers

Answer:

Left

Step-by-step explanation:

A personnel manager has found that historically the scores on aptitude test given to applicants for entry-level positions follow a normal distribution with a standard deviation of 32.4 points. A random sample of nine test scores from the current group of applicants had a mean score of 187.9 points.a) Find an 80% confidence interval for the population mean score of the current group of applicants.b) Based on these sample results, a statistician found for the population mean a confidence interval extending from 165.8 to 210.0 points. Find the confidence level of this interval.

Answers

Answer:

A) An 80% confidence interval for the population mean score of the current group of applicants is (172.8124,202.9876)

B)The confidence level of this interval is 96%

Step-by-step explanation:

Mean =[tex]\mu = 187.9[/tex]

Standard deviation = s= 32.4

n = 9

A) Find an 80% confidence interval for the population mean score of the current group of applicants.

Degree of freedom = n-1=9-1=8

Significance level = [tex]\alpha = 0.2[/tex]

So, [tex]t_(\frac{\alpha}{2},df)=t_(\frac{0.2}{2},8)=t_(0.1,8)=1.397[/tex]

Formula of confidence interval :

CI : [tex]\bar{x}-Z_{(\frac{\alpha}{2})} \times \frac{s}{\sqrt{n}} , \bar{x}+Z_{(\frac{\alpha}{2})}\times \frac{s}{\sqrt{n}}[/tex]

So, CI:  [tex]187.9-1.397 \times \frac{32.4}{\sqrt{9}} , 187.9+1.397 \times \frac{32.4}{\sqrt{9}}[/tex]

CI:(172.8124,202.9876)

So, an 80% confidence interval for the population mean score of the current group of applicants is (172.8124,202.9876)

B)Based on these sample results, a statistician found for the population mean a confidence interval extending from 165.8 to 210.0 points. Find the confidence level of this interval.

Standard error of sample mean = se =[tex]\frac{s}{\sqrt{n}}= \frac{32.4}{\sqrt{9}} = 10.8[/tex]

Margin of error = 210 - 165.8 = 44.2

Critical test statistic =[tex]\frac{\text{margin of error}}{2 \times \text{standard error}} = \frac{44.2}{2 \times 10.8} = 2.0463[/tex]

Using excel

Confidence interval = [tex]2 \times [1 - NORMSDIST(2.0463)] = 2 \times (1 - 0.98) = 2 \times 0.02 = 0.04[/tex]

Confidence level= 1 - 0.04 = 0.96

Confidence interval is 96%.

Hence  the confidence level of this interval is 96%

Using the z-distribution, it is found that

a) The 80% confidence interval for the population mean score of the current group of applicants is (174.1, 201.7).

b) The confidence level is of approximately 96%.

Item a:

We are given the standard deviation for the population, which is why the z-distribution is used to solve this question.

The information given is:

Sample mean of [tex]\overline{x} = 187.9[/tex].Population standard deviation of [tex]\sigma = 32.4[/tex].Sample size of [tex]n = 9[/tex].

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

The critical value, using a z-distribution calculator, for a two-tailed 80% confidence interval is z = 1.28.

[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 187.9 - 1.28\frac{32.4}{\sqrt{9}} = 174.1[/tex]

[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 187.9 + 1.28\frac{32.4}{\sqrt{9}} = 201.7[/tex]

The 80% confidence interval for the population mean score of the current group of applicants is (174.1, 201.7).

Item b:

The margin of error is given by:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

Hence:

[tex]\frac{210 - 165.8}{2} = z\frac{32.4}{\sqrt{9}}[/tex]

[tex]10.8z = 22.1[/tex]

[tex]z = \frac{22.1}{10.8}[/tex]

[tex]z = 2.05[/tex]

Using a calculator, it is found that the confidence level is of approximately 96%.

A similar problem is given at https://brainly.com/question/25649070

Please help ASAP (28 points)

Answers

Answer:

5) x = 8

6) z = 49°

Step-by-step explanation:

Hi there !

5)

we have opposite angles =>

5x = 2x + 24

5x - 2x = 24

3x = 24

x = 24 : 3

x = 8

6)

The sum of the three interior angles in a triangle is always 180° !

x = 180° - (28° + 39°)

= 180° - 67°

= 113°

x ; y = supplementary angles =>

x + y = 180° =>

y = 180° - x

= 180° - 113°

= 67°

z = 180° - (64° + 67°)

= 180° - 131°

= 49°

Good luck !

Help!! 50 Points!!!


Remember how to calculate currency conversions:
To determine the currency conversion, multiply the amount of U.S. dollars by the currency exchange rate. For example, since the currency exchange rate for U.S. dollars to Nearlandian dollars is 1 USD = 5 NRD, then 20 U.S. dollars is equivalent to 100 Nearlandian dollars, because 20 x 5 = 100. If you have 50 Nearlandian dollars to convert back to U.S. dollars, you would divide by the exchange rate. Thus, 50 Nearlandian dollars is equivalent to 10 U.S. dollars, because 50 / 5 = 10.
1. In at least two complete sentences, explain why a traveler will need to visit a currency exchange. Include how exchange rates are determined.

2. You have $100 in the United States. Imagine you are visiting Crosswater to check out new products. How much would your $100 be in Crosswatering dollars? (Be sure to show your work.)

3. You read about a new invention in Techtopia. You consider traveling there instead. How much would your $100 be in Techtopian dollars? (Be sure to show your work.)

4. A computer part costs 200 TPA in Techtopia, and the same part costs 1,000 CSW in Crosswater. Figure out how much USD you need to buy the part from each country:
100 TPA = ______ USD 1,000 CSW = ______ USD
Now answer the question: Should you travel to Techtopia or to Crosswater to buy the part? Explain your answer and show your work.

5. You buy certain supplies in Nearland. Last year, the currency exchange rate was 1 USD = 3 NRD. Are these supplies more or less expensive to buy now than last year? Explain your answer in complete sentences



Country and Currency Name Today’s Currency Exchange Rate

Techtopia
(Techtopian dollar, or TPA) 1 USD = 1 TPA

Crosswater
(Crosswatering dollar, or CSW) 1 USD = 20 CSW

Nearland
(Nearlandian dollar, or NRD) 1 USD = 5 NRD

Answers

Answer:

1. Say, for example, the traveler is from the U.S, he will need money to survive in Crosswater and he needs 50 CSW dollars. He will trade in $3 U.S dollars for $50 CSW dollars.

2. $100 U.S * $20 CSW = $2000 CSW

3. $100 U.S * $1 = $100 TPA

4. 100 TPA = $100 USD  1,000 CSW = $50 USD

5. It would be cheaper to buy from CSW. While TPA is more expensive in USD with $100, CSW is only $50 USD.

Step-by-step explanation:

Hey, make sure you pharaphrase this before you turn it in, these were my answers word for word...

To solve the problem we will convert currencies and then solve the Problems.

Given to us      

TPA, 1 USD = 1 TPACSW, 1 USD = 20 CSWNRD, 1 USD = 5 NRD

Why use currency exchange?

1.)   A traveler needs to visit a currency exchange to exchange his currency to the local currency of the country in which he is staying.

2.)  We know that 1 USD = 20 CSW,

therefore, 100 USD =  20 x 100 = 2000 CSW.

Thus,  your $100 will be equal to 2000 CSW dollars.

3.)   We know that 1 TPA =  1 USD,

therefore, 100 USD = 100 x 1 = 100 TPA

Thus,  your $100 will be equal to 100 TPA.

What is the cost of the computer part?

4.) We know that 1 USD = 1 TPA, while 1 USD = 20 CSW,

Given the cost of the computer part,

it will be 200 TPA = 200 USD,

it will be 1000 CSW = 50 USD,

Thus, the computer part will be cheaper, by 150 USD.

5.)  As it is given that 1 USD = 3 NRD,

while now that 1 USD cost 5 NRD, therefore, now the same product will be cheaper.

For, example a product costing 300 NRD would be 100 USD last year but would cost only 60 USD now.

Learn more about Currency Exchange:

https://brainly.com/question/13684639

Question 1 of 10
Solve the equation -5 = y for x.

Answers

Answer: B
3•5=15
Since were finding x it’s going to be
x=3y-15
It’s subtraction because obviously if you see in the problem there’s subtraction

In the diagram, Ray K QJKM is a straight angle. Which statements about the diagram are true? Check all that apply. Angle is an angle bisector. AngleLKQ is bisected. mAngleJKL = 45° mAngleMKQ + mAnglePKQ = mAnglePKM Line segment P K is an angle bisector. AngleJKL Is-congruent-to AngleQKM

Answers

Answer:3,4,5 are the right anwsers

Step-by-step explanation:

i just did it

Answer:

there right^

Step-by-step explanation:

Solve for x
4(3x – 5) - 2x = -30

Answers

Answer:

your answer is -1

Step-by-step explanation:

D = distributive property

S = switch

C = combine

I = inverse operations

F = finalize

[tex]4(3x - 5) -2x = -30\\12x -20 -2x = -30\\12x -2x = -30 + 20\\10x = -10\\x = \frac{-10}{10}\\ x = -1[/tex]

Hdhdydshwshshhdhdhde

Econo motel charges $260 for 4 nights. At that rate, how much would 7 nights cost

Answers

Divide the cost for 4 nights by 4 to get cost per night.

260/4 = 65 per night.

Multiply cost per night by 7:

65 x 7 = 455

It would cost $455 for 7 nights.

Solve for X!?
PLEASE HELP MEE!!!!!!!

Answers

Answer:

x=15

Step-by-step explanation:

4x = 2x + 30
6x = 30
x = 5

find the inequality represented by the graph ​

Answers

Answer:

y > 1/3x - 3

Step-by-step explanation:

Finding the line using the points:

(0, -3) and (3, -2)

The equation:

y = mx + b

The slope is:

m = (-2 + 3)/(3-0) = 1/3y- intercept is -3

So the line is:

y = 1/3x - 3

As per the graph the line is dotted and the shaded area is above the line,. so the inequality is:

y > 1/3x - 3

Hope this help!!!

Have a nice day!!!

HELP PLEASE HELP Please

Answers

The answer is b, 5x^2 + 24x + 1

Is the number 90,040 divisible by 8?

Answers

Answer:

yes it is

Step-by-step explanation:

90,040/8 is 11222

What is the quotient ?
-4/5 divided by 2
1) -1 3/5
2) -2/5
3) 1/2
4) 1 3/5

Answers

Answer: -2/5

Step-by-step explanation: It's -4/5 multiplied by 1/2 because you you have to find the reciprocal, so you flip 2, so it would become 1/2, then you multiply -4/5 and 1/2, which would get you -4/10, which can be reduced to -2/5. Hope this helps!

Answer: B

Step-by-step explanation:

carlton thinks that converting metric units is as easy as moving the ________​

Answers

Answer:

Carlton thinks that converting metric units is as easy as moving the decimal point

Step-by-step explanation:

When you convert the unit, you move decimal point  on your answer from the left to the right or from the right to the left the number of places as per relevant prefix.

Example:

1 meter = 1000 millimeters (1.0 m = 1000.0 mm) 1 milligram = 0.001 grams ( 1.0 mg = 0.001 g)

see attached for prefixes

Answer:

decimal point

Step-by-step explanation:

To convert a metric unit, you are going to either multiply or divide.

Some examples include:

km/1000 = mm/100 = cmcm/10 = mmmm*10 = cmcm*100 = mm*1000 = km

Best of Luck!

Four less than a number is greater than–28.

Answers

Answer:

x - 4 > 28

Step-by-step explanation:

x - 4 > 28

a number minus 4 is greater than 28

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