You want to find out how sleep deprivation affects motor performance. To study this, you have sleep-deprived subjects (such as parents of newborn babies or night-shift workers) record the number of minutes they sleep each night and take a series of motor performance assessments, with 1 minute being the smallest unit on the scale. Suppose the first subject sleeps 180 minutes. Determine the real limits of 180.

Answer:

A.

Step-by-step explanation:

It's the first one. The angles are supplementary not complementary.

Answer:

I would have to say A

Step-by-step explanation:

Answer:

A. The student scored better on the geography test.

Step-by-step explanation:

The z-score for a normal distribution, for any value X, is given by:

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

Where is μ the mean score, and σ is the standard deviation.

For the Geography test:

X = 74

μ = 80

σ = 5

[tex]z_g=\frac{74-80}{5}\\ z_g=-1.2[/tex]

For the Mathematics test:

X = 273

μ = 300

σ = 18

[tex]z_m=\frac{273-300}{18}\\ z_m=-1.5[/tex]

The z-score for the Geography test is higher than the score for the Mathematics test, which means that the student had a better relative score in the Geography test.

The answer is  A. The student scored better on the geography test.

Answer:

Options A, C and D are true.

- The average daily revenue for days when the Red Sox do not play away is $1,768.32.

- The average daily revenue for days when the Red Sox play away is $2,264.57.

- On average, the bar’s revenue is $496.25 higher on days when the Red Sox play away than on days when they do not.

Step-by-step explanation:

The complete Question is presented in the attached image to this solution.

Analyzing the options at a time

A) The average daily revenue for days when the Red Sox do not play away is $1,768.32.

This option is true as 1768.32 is the intercept which is the average daily revenue when the Red Sox=0, that is, 0=no, when red sox do not play away.

B) The average daily revenue for days when the Red Sox play away is $1,768.32.

This is false because when the Red Sox play away, the value is 1 and the average revenue = 1768.32 + 496.25 = $2,264.57

C) The average daily revenue for days when the Red Sox play away is $2,264.57.

This is true. I just gave the explanation under option B.

D) The average daily revenue for days when the Red Sox do not play away is $1,272.07.

This is false. The explanation is under option A.

E) On average, the bar’s revenue is $496.25 higher on days when the Red Sox play away than on days when they do not.

This is true. It is evident from the table that the 0 and 1 coefficient is 496.25. This expresses the difference in average daily revenue when the Red Sox games are played away and when they are not.

Hope this Helps!!!

Answer:

Step-by-step explanation:

The posssible factors are

x^2 + 4x - 32

(x+8)(x-4)

x^2+ 14x - 32

(x+16)(x-2)

(x+32)(x-1)

x^2+31x-32

Answer:

x=3y

Step-by-step explanation:

divide both sides by 20

20x = 60y

------   -------

20        20

x=3y

Answer:

x = 3y

Step-by-step explanation:

20x = 60y

Divide 20 into both sides.

20x/20 = 60y/20

1x = 6/2y

x = 3y

Answer:

B

Step-by-step explanation:

It can be figured out by using graph transformations.

When when subtracting directly next to x, it shifts the graph to the left while doing the opposite when adding. Since the graph is to the left, we know it has to be A or B since those are subtracting by 5

Outside of the absolute value, when subtracting, it makes the graph move down. That means we are looking for a -4 which is found in  B

Answer:

Step-by-step explanation:

(-2,2) (2,-4)

(-4-2)/(2+2)= -6/4= -3/2 is the slope of the graph

Answer:

16

Step-by-step explanation:

The sum of the 12 numbers is 12 * 24 = 288 and the sum of the 24 numbers is 24 * 12 = 288 so the sum of the 36 numbers is 288 + 288 = 576 which means the average is 576 / 36 = 16.

Answer:

4.11% probability that he has lung disease given that he does not smoke

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Does not smoke

Event B: Lung disease

Lung Disease/Nonsmoker 0.03

This means that [tex]P(A \cap B) = 0.03[/tex]

Lung Disease/Nonsmoker 0.03

No Lung Disease/Nonsmoker 0.7

This means that [tex]P(A) = 0.03 + 0.7 = 0.73[/tex]

What is the probability of the following event: He has lung disease given that he does not smoke?

[tex]P(B|A) = \frac{0.03}{0.73} = 0.0411[/tex]

4.11% probability that he has lung disease given that he does not smoke

Probabilities are used to determine the chances of an event.

The  probability that he has lung disease given that he does not smoke is 0.231

The required probability is calculated as:

[tex]\mathbf{P = \frac{P(Lung\ Disease\ and\ Non\ Smoker)}{P(Lung\ Disease)}}[/tex]

From the question, we have:

[tex]\mathbf{P(Lung\ Disease\ and\ Non\ Smoker) = 0.03}[/tex]

[tex]\mathbf{P(Lung\ Disease) = P(Has Lung Disease/smoker) + P(Lung Disease/Nonsmoker)}[/tex]

[tex]\mathbf{P(Lung\ Disease) = 0.1 + 0.03}[/tex]

[tex]\mathbf{P(Lung\ Disease) = 0.13}[/tex]

So, we have:

[tex]\mathbf{P = \frac{P(Lung\ Disease\ and\ Non\ Smoker)}{P(Lung\ Disease)}}[/tex]

[tex]\mathbf{P = \frac{0.03}{0.13}}[/tex]

[tex]\mathbf{P = 0.231}[/tex]

Hence, the  probability that he has lung disease given that he does not smoke is 0.231

Read more about probabilities at:

https://brainly.com/question/11234923

Answer:

124

Step-by-step explanation:

Following PEMDAS,

multiplication comes first, 52x2 equals 104

Then add 20 to 104

124

Answer:

124

Step-by-step explanation:

20+50x2

20+104

124

Answer:

(1+√481/2,0),(1−√481/2,0)

Step-by-step explanation:

You find this by substituting 0 for y and then solving.

Answer:

(1+√481/2,0),(1−√481/2,0)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Thirty-one million, six hundred and twenty-four

Four billion, six million, eighty-five thousand, and twelve

six million five hundred thousad

twenty-five million, four hundred and thirty thousand and seven hundred and fifty-six

Step-by-step explanation:

Answer: (5, 42)

Step-by-step explanation:

22 + 4x= 42

if we test the options we will see this is the only one that works

42 - 22 = 20

4x = 20

x= 5

which is equal to X the number of weeks they have gotten the allowance.

Answer:

      Lateral surface area is

≈

502.65cm²

      Base area is

=

πr^2

Answer:

[tex]\frac{1}{13}[/tex]

Step-by-step explanation:

The probability P(A) that an event A will occur is given by;

P(A) = [tex]\frac{number-of-possible-outcomes-of-event-A}{total-number-of-sample-space}[/tex]

From the question,

=>The event A is selecting a king the second time from a 52-card deck.

=> In the card deck, there are 4 king cards. After the first selection which was a king, the king was returned. This makes the number of king cards return back to 4. Therefore,

number-of-possible-outcomes-of-event-A = 4

=> Since there are 52 cards in total,

total-number-of-sample-space = 52

Substitute these values into equation above;

P(Selecting a king the second time) = [tex]\frac{4}{52}[/tex] = [tex]\frac{1}{13}[/tex]

Answer:

The Pythagorean Triplet that has 5 is 3-4-5

Step-by-step explanation:

We can prove this using Pythagorean Theorem: a² + b² = c²

3² + 4² = 5²

9 + 16 = 25

25 = 25

Answer:

Area: 7 units²

Perimeter: 14 units

Step-by-step explanation:

Area of each square:

1 unit × 1 unit = 1 unit²

There are 7 squares:

1 unit² × 7 (squares) = 7 units²

The area of the shape is 7 units².

The perimeter of the shape is the length of the outer sides.

1 + 1 + 1 + 1/2 + 1/2 + 1 + 1 + 1/2 + 1 + 1/2 + 1 + 1 + 1 + 1 + 1 + 1 =  14 units

Answer:

11n

Step-by-step explanation:

7n+4n   (factorize out n)

= n (7 + 4)

= n (11)

= 11n

Answer:

11n

Step-by-step explanation:

Combining like terms just means adding together the numbers with the same variable. 7n and 4n both have an n attached, so you would add like normal to get 7n + 4n = 11n.

Answer:

9.2

Step-by-step explanation:

The given triangle is a right angled triangle. To solve for any of the side length of such triangle, apply the trigonometry ratio formula which can easily be remembered as SOHCAHTOA.

SOH is Sin θ = opposite/hypothenuse,

CAH is Cos θ = Adjacent/hypotenuse

TOA is Tan θ = Opposite/adjacent

Thus, in the right triangle given, we have:

θ = 38°

Opposite side to the given angle = x

Hypotenuse = 15

We're going to use, sin θ = opposite/hypotenuse

Sin(38) = x/15

Multiply both sides by 15 to solve for x

15*sin(38) = x

15*0.616 = x

9.24 = x

x ≈ 9.2 (to nearest tenth)

Answer:

[tex]\large \boxed{\sf \ \ 7 \ \ }[/tex]

Step-by-step explanation:

Hello, please consider the following.

Knowing that f={(−5,0),(2,2),(−2,3)} and  g={(2,5),(−5,3)} ,

(f+g)(2)=f(2)+g(2)=2+5=7

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

Product A is the cheapest unit price.

Step-by-step explanation:

Since we have given that

Weight of a Product A = 8 oz

Cost at which it is sold = $1.36

Cost per unit for Product A will be

1.38/8= $0.17

Weight of a Product B = 16 oz

Cost at which it is sold = $3.20

Cost per unit for Product B will be

So, we can see that the unit price of "Product A" is lower than the unit price of product B .

Hence, Product A has the cheapest unit price.

Answer:

1 3 4 5

Step-by-step explanation:

The rotation does not change the angle measure, the side lengths and the shape of the shape that is being rotated.

An angle measure the size, the shape, and the position of center of rotation do not change after rotation.

If one thing is rotated then it will not change the angle measures, the side lengths and shape of the body. The rotation does not change the center of object.

Learn more about angles at https://brainly.com/question/25716982

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Answer:

the probability that the number of heads is between 40 and 60 is 0.9535

the probability that the number of heads is between 50 and 55 is 0.3557

Step-by-step explanation:

From the given information:

A fair coin is tossed 100 times.

Let consider n to be the number of time the coin is tossed, So n = 100 times

In a fair toss of a coin; the probability of getting a head P(Head) = 1/2 = 0.5

If we assume X to be the random variable which follows a binomial distribution of n and p; therefore , the mean and the standard deviation can be  calculated as follows:

Mean μ = n × p

Mean μ = 100 × 1/2

Mean μ = 100 × 0.5

Mean μ =  50

Standard deviation σ =  [tex]\sqrt{n \times p \times (1-p)}[/tex]

Standard deviation σ =  [tex]\sqrt{100 \times 0.5 \times (1-0.5)}[/tex]

Standard deviation σ = [tex]\sqrt{50 \times (0.5)}[/tex]

Standard deviation σ = [tex]\sqrt{25}[/tex]

Standard deviation σ = 5

Now, we've made it easier now to estimate  the probability that the number of heads is between 40 and 60 and the probability that the number is between 50 and 55.

To start with the probability that the number of heads is between 40 and 60 ; we have:

P(40 < X < 60) = P(X < 60)- P(X < 40)

Applying  the central limit theorem , for X is 40 which lies around 39.5 and 40.5  and X is 60 which is around 59.5 and 60.5 but the inequality signifies less than sign ;

Then

P(40 < X < 60) = P(X < 59.5) - P(X < 39.5)

[tex]P(40 < X < 60) = P( \dfrac{X - \mu}{\sigma}< \dfrac{59.5 - 50 }{5}) - P( \dfrac{X - \mu}{\sigma}< \dfrac{39.5 - 50 }{5})[/tex]

[tex]P(40 < X < 60) = P( Z < \dfrac{9.5 }{5}) - P( Z< \dfrac{-10.5 }{5})[/tex]

[tex]P(40 < X < 60) = P( Z <1.9}) - P( Z< -2.1)[/tex]

[tex]P(40 < X < 60) =0.9713 -0.0178[/tex]

[tex]P(40 < X < 60) =0.9535[/tex]

Therefore; the probability that the number of heads is between 40 and 60 is 0.9535

To estimate the probability that the number is between 50 and 55.

P(50 < X < 55) = P(X < 55)- P(X < 50)

Applying  the central limit theorem , for X is 50 which lies around 49.5 and 50.5  and X is 55 which is around 54.5 and 55.5 but the inequality signifies less than sign ;

Then

P(50 < X < 55) = P(X < 54.5) - P(X < 49.5)

[tex]P(50 < X < 55) = P( \dfrac{X - \mu}{\sigma}< \dfrac{54.5 - 50 }{5}) - P( \dfrac{X - \mu}{\sigma}< \dfrac{49.5 - 50 }{5})[/tex]

[tex]P(50 < X < 55) = P( Z < \dfrac{4.5 }{5}) - P( Z< \dfrac{-0.5 }{5})[/tex]

[tex]P(50 < X < 55) = P( Z <0.9}) - P( Z< -0.1)[/tex]

[tex]P(50 < X < 55) =0.8159 -0.4602[/tex]

[tex]P(50 < X < 55) =0.3557[/tex]

Therefore; the probability that the number of heads is between 50 and 55 is 0.3557

see if other people has already answered this question

Answer:

-1

1

1/2(1±i√3)

Step-by-step explanation:

1. x+1=0 ⇒ x= -1

2. x-1= 0 ⇒ x= 1

3. x^2-x+1=0

Answer:

Step-by-step explanation:

(4+1)/(8-2)= 5/6

y + 1 = 5/6(x - 2)

y + 1 = 5/6x - 5/3

y + 3/3 = 5/6x - 5/3

y = 5/6x - 8/3

6(y = 5/6x - 8/3)

6y = 5x - 16

-5x + 6y = -16

Answer:

y=-5/2x+12

Step-by-step explanation:

We know that the slope is -5/2 and the line passes through (8,-8). We can use the slope in the equation y=-5/2x+b and the given point to find for b. Plug in (8,-8) as x and y values to get -8=-5/2(8)+b. Multiply to get -8=-20+b, then add 20 to both sides to get 12=b. You can then use b to complete your equation, y=-5/2x+12.

Answer:

x = 465 km

y = 735 km

Step-by-step explanation:

Step 1: Write out equations

x + y = 1200

y = x + 270

Step 2: Find x using substitution

x + (x + 270) = 1200

2x + 270 = 1200

2x = 930

x = 465

Step 3: Plug in x to find y

y = 465 + 270

y = 735

Answer:

They traveled 780

Step-by-step explanation:

Got it right on the test

Answer:

Always the numerator for the statistic needs to be higher than the denominator. And replacing we got:

[tex]F=\frac{s^2_2}{s^2_1}=\frac{38}{32}=1.19[/tex]

And the best option would be:

d. 1.19.

Step-by-step explanation:

Data given and notation  

[tex]n_1 = 24 [/tex] represent the sampe size 1

[tex]n_2 =16[/tex] represent the sample size 2

[tex]s^2_1 = 32[/tex] represent the sample variance for 1

[tex]s^2_2 = 38[/tex] represent the sample variance for 2

The statistic for this case is given by:

[tex]F=\frac{s^2_1}{s^2_2}[/tex]

Hypothesis to verify

We want to test if the true deviations are equal, so the system of hypothesis are:

H0: [tex] \sigma^2_1 = \sigma^2_2[/tex]

H1: [tex] \sigma^2_1 \neq \sigma^2_2[/tex]

Always the numerator for the statistic needs to be higher than the denominator. And replacing we got:

[tex]F=\frac{s^2_2}{s^2_1}=\frac{38}{32}=1.19[/tex]

And the best option would be:

d. 1.19.

Answer:

-18 < -x-4 < -8

Step-by-step explanation:

We start with the initial range as:

4 < x < 14

we multiplicate the inequation by -1, as:

-4 > -x > -14

if we multiply by a negative number, we need to change the symbols < to >.

Then, we sum the number -4, as:

-4-4> -x-4 > -14-4

-8 > -x-4 > -18

Finally, the range for -x-4 is:

-18 < -x-4 < -8