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Answer:

a) The null hypothesis is [tex]H_0: p \leq \frac{2}{3}[/tex] and the alternate hypothesis is [tex]H_1: p > \frac{2}{3}[/tex].

b) The sample proportion is 0.6710.

Step-by-step explanation:

Question a:

An airline promotion to business travelers is based on the assumption that no more than two-thirds of business travelers use a laptop computer on overnight business trips.

At the null hypothesis, we test if the proportion is two-thirds or less, that is:

[tex]H_0: p \leq \frac{2}{3}[/tex]

At the alternate hypothesis, we test if the proportion is of more than two-thirds, that is:

[tex]H_1: p > \frac{2}{3}[/tex]

b. What is the sample proportion from an American Express-sponsored survey that found 359 of 535 business travelers use a laptop computer on overnight business trips (to 4 decimals)?

359 out of 535 is 359/535 = 0.6710.

The sample proportion is 0.6710.

Answer:

no equation is equal to 2 all are greater than 2

Step-by-step explanation:

if x is from B to D then it's 12-2= 10

x= 10

Answer:

The volume of this rectangular prism is 72 cubic units. We multiply 6*4*3 to get 72.

Answer: 88

Step-by-step explanation:

got it right 2022 edge

Answer:

-1247400

Step-by-step explanation:

See the Image below:) I believe this is what you are looking for.

Answer:

geometry?

Step-by-step explanation:

SHEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEESH

Answer:

I tried but it said 4 0 4 e r r o r i d k why

Step-by-step explanation:

Answer:

1/4 in 36 hours

1/8 in 72 hours

To determine the fraction of the original drug dose remaining after a certain time, we can use the concept of half-life. The half-life is the time it takes for half of the drug to decay or be eliminated from the bloodstream.

Given that the half-life of the drug is 18 hours, we can calculate the fraction of the original drug dose remaining after a certain number of hours.

After 18 hours (one half-life), half of the drug remains, which is equal to 1/2 or 0.5 of the original dose.

To find the fraction remaining after 36 hours (two half-lives), we can halve the remaining amount from the previous step:

(1/2) * (1/2) = 1/4 or 0.25

Therefore, after 36 hours, 1/4 or 0.25 of the original drug dose remains.

To find the fraction remaining after 72 hours (four half-lives), we can continue halving the remaining amount:

(1/2) * (1/2) * (1/2) * (1/2) = 1/16 or 0.0625

Therefore, after 72 hours, 1/16 or 0.0625 of the original drug dose remains.

In summary:

After 36 hours, 1/4 or 0.25 of the original drug dose remains.

After 72 hours, 1/16 or 0.0625 of the original drug dose remains.

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9514 1404 393

Answer:

  the correct choice is marked

Step-by-step explanation:

The line has a rise of 2 for a run of 1, so a slope of 2. The line crosses the y-axis at y=-2, so the y-intercept is -2. The slope-intercept equation for the line is ...

  y = mx + b . . . . . . for slope m and y-intercept b

  y = 2x -2

Answer:

the answer is c y=2x-2

Step-by-step explanation:

:)

Answer:

you can't do that because they are different variables, so there are no like terms

Step-by-step explanation:

there is no answer for this equation

Answer:

Step-by-step explanation:

12n+36m+60=0

12n+36m=-69

12(n+3m)=-69

n+3m=-69/12

Answer:

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

ax²+bx+c

Simplify each term.

3x²+2−x³+5x³−2x²−1

Simplify by adding terms.

4x³+x²+1

Step-by-step explanation:

Answer:

95.44% of the grasshoppers weigh between 86 grams and 94 grams.

Step-by-step explanation:

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.

Mean of 90 grams and a standard deviation of 2 grams.

This means that [tex]\mu = 90, \sigma = 2[/tex]

What percentage of the grasshoppers weigh between 86 grams and 94 grams?

The proportion is the p-value of Z when X = 94 subtracted by the p-value of Z when X = 86. So

X = 94

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

[tex]Z = \frac{94 - 90}{2}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a p-value of 0.9772.

X = 86

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

[tex]Z = \frac{86 - 90}{2}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a p-value of 0.0228.

0.9772 - 0.0228 = 0.9544

0.9544*100% = 95.44%

95.44% of the grasshoppers weigh between 86 grams and 94 grams.

Answer:

3888

Step-by-step explanation:

Answer:

25% of 972= 243

243+972=1215 students

Answer:

A.

Step-by-step explanation:

2/hour

2×4 hours =8 dollars ;

Then 3x(because we dk the time taken, so replaced by x and then times 3)

Equation =8+3x

Answer:

y = 2x - 7

Step-by-step explanation:

Look at the image: This is how I solved the problem

Answer:

mean : add all of them and divide by how much they are

mode: is what repeats it self like 15 is the most repeated.

Answer: D y>2x-1

y<1/3x+1

Step-by-step explanation: I took the test and got it right

The points (0, 0) and (6/5, 7/5) are solutions to the system of inequalities D y>2x-1 and y<1/3x+1 which is correct options (D).

Inequality is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is not equal.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Given the system of inequalities as

y>2x-1 and y<1/3x+1.

To determine the solutions, you first have to graph both of the lines in the problem.

y = 2x-1 and y = 1/3x+1. Then, to shift them to inequality, you have to shade the half-plane that they represent.

The solution is the space that they have in common. In this case, it will be on the right side of the graph.

The points (0, 0) and (6/5, 7/5) are included in the shaded region they have in common.

Hence, the points (0, 0) and (6/5, 7/5) are solutions to the system of inequalities y>2x-1 and y<1/3x+1.

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Answer: understand what

Step-by-step explanation:

Answer:

where qurstion

Step-by-step explanation:

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ATQ,

= [tex] \dfrac{ - 13}{25} + \dfrac{21}{5} + \frac{ - 21}{18} + x = 5[/tex]

= [tex] \dfrac{ 377}{150} + x = 5[/tex]

= [tex] x = 5 - \dfrac{ 377}{150}[/tex]

= [tex] x = \dfrac{ 373}{150}[/tex]

Answer

=727/150

Step-by-step explanation:

-13/25 + 21/18 + 21/18

= -13 + 105/25 + 21/18

= 92/25 + 21/18

= 1656 + 525/450

= 2181/450   =   727/150

Have nice day

Answer:

C. All the information you need is contained in the problem.

310 people of 1000 people smoke.

Step-by-step explanation:

[tex]\frac{y}{1000}: \frac{31}{100}[/tex]

y · 100 = 31 · 1000

100y = 31000

100y ÷ 100 = 31000 ÷ 100

y = 310

Answer:

.

Step-by-step explanation:

Answer:

8.25

[tex]8\frac{1}{4}[/tex]

Step-by-step explanation:

n + r + a

6 + 0.25 + 2

8 + 0.25

8.25

Answer:

183

Step-by-step explanation:

The perimeter of the rectangle measured in centimeters is 26 cm.

Perimeter of a straight sided figures or objects is the total length of it's boundary.

Given a rectangle in the figure.

The length of the rectangle = 7 cm

Width of the rectangle = 6 cm

We have to find the perimeter of the rectangle.

Perimeter of the rectangle = 2(l + w), where l is the length and w is the width.

Perimeter = 2(7 + 6)

                = 2 × 13

                = 26 cm

Hence the perimeter is 26 cm.

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Answer:

The 95% confidence interval for the mass of a microchip produced at this factory is between 1971.608 milligrams and 1972.392 milligrams.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

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

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{2}{\sqrt{100}} = 0.392[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 1972 - 0.392 = 1971.608 milligrams

The upper end of the interval is the sample mean added to M. So it is 1972 + 0.392 = 1972.392 milligrams

The 95% confidence interval for the mass of a microchip produced at this factory is between 1971.608 milligrams and 1972.392 milligrams.

Answer:

Hello! answer: 10

Step-by-step explanation:

x = 10 because...

10 × 3 = 30 30 + 5 = 35 35 + 55 + 90 = 180 therefore x = 10 hope that helps!

Answer:

si se tirs undado you need to

Answer:

Step-by-step explanation:

Answer:

a) 12/24 * 11/24*10/24

b) 1 - 12/24 * 11/24*10/24

c) 12/24 * 11/24 *12/24

Step-by-step explanation:

Total number of bottles = 12 + 5+7 = 24

a. The probability that all (exactly three) bottles are strawberry flavored is: 212

12/24 * 11/24*10/24

b. The probability that at least one of the three bottles are strawberry flavored is:  

1 - P (no strawberry bottle)

1 -  (12/24*11/24*10/24)

c. The probability that exactly 2

12/24 * 11/24 *12/24

Answer:

40%

Step-by-step explanation: