In a certain city, the population mean commute time to work was reported as 30 minutes. The director of human resources for a certain company in the city claimed the mean commute time for the
company's employees was greater than 30 minutes. The director surveyed 35 randomly selected employees and found that their mean commute time was 31.4 minutes. With all conditions for
inference met, a hypothesis test conducted at the significance level a = 0.05 resulted in a p-value of 0.381
Which of the following is an appropriate conclusion?

Answer:

Answer.The director does not have convincing statistical evidence to conclude that the population mean commute time is greater than 30 minutes.

Because the p value is very high and higher than level of significance ,so we fail to reject null hypothesis.

calculate the variance and standard deviation for the following samples set of data. 83.6,92.3,56.5,43.8,77.1,66.7. (Do not round intermediate calculation. Round your final answers and the nearest tenth.)​

The figure below consists of a square and a right triangle. Find the missing length x.

Which equation has no solution?

What is the distance, in units, between point A(5. - 8) and point B(-2, 4) on the coordinate plane?
PLSSS ANSWER ASAP

solve the following: 8x(x-5)-25=5x(x-6) ​

Find the factors of following:
(i) 8x^2yz
​

Human capital deepening refers to increases in a country’s population, including both births and immigration.
True

False

I need help pls answer

Copy machine makes 44 copies per minute. How long does it take to make 231 copies?

A home has a room with length 22 feet and width 25 ft.
Which dimensions could represent a scale model of the room?
O length = 6.5 in.; width = 7.5 in.
O length
= 11 in.; width = 12.5 in.
O length = 13 in.; width = 14 in.
O length = 17.6 in.; width = 19.5 in.

Which equation has no real solutions?

) ​​−2​x2=−168

) 4​x2+ 76 = 32

) 25​x2= 1

) 43 −​x2= 12

down the additive inverse of 4 by 7​

Which of the following is NOT a property of the sampling distribution of the​ variance? Choose the correct answer below. A. The expected value of the sample variance is equal to the population variance. B. The mean of the sample variances is the population variance. C. The sample variances target the value of the population variance. D. The distribution of sample variances tends to be a normal distribution.

Class A had 33 students and class B had 21 students. A number of students were moved from class A to class B so the classes now have the same number of students. Write the equation and solve for how many students were moved.​

What is circle definition

Does the table represent an exponential function? Explain why or why not.
(3,-10 ), (4,-7 ), (5,-4), (6,-1), (7,2),(8,5)

It cost Ms. Nelson $245 to buy 5 kids tickets to Disney. How much do the tickets cost per child?

How do you simplify 1 17/18

25 + 12x (24 + 3) - 15 21.3
​

You may not know this, but you are home to a colony of bacteria. You may also not know it, but the health and happiness of that colony of bacteria have a direct effect on your own health and happiness. In short, if we are what we eat, then we may need to make bacteria part of our balanced breakfast.

Microbes are single-celled organisms. They are literally everywhere. Microbes are in the air we breathe, on the surfaces of everything we touch, and inside our bodies. Microbes can be bacteria, fungi, protozoa, or viruses.

A few years ago, scientists began studying the microbial life of our stomachs. Called The American Gut project, this study aims to understand the life of the bacteria that live in our digestive system. According to an article in the New York Times by Michael Pollan, the goal is to gather information on the types and amounts of bacteria in the human gut. Scientists want to describe what a normal healthy microbe and human relationship should look like inside our digestive system. While the research is still in the very early stages, scientists have learned the following:

The strongest and healthiest microbe systems are those with a lot of variety.
The guts of Americans have much less variety than the guts of other populations.
Diets that include a lot of processed foods support less variation in bacteria.
Studying the makeup of our individual bacteria communities will help scientists get a better idea of which bacteria help human bodies. We used to think that bacteria in our bodies were invaders. This new research suggests that bacteria are part of the protective army that keeps us healthy. In fact, our bodies have a hard time recovering from medicines like antibiotics because they disrupt the balance of helpful bacteria. It seems clear from the early evidence that living with bacteria helps us resist invasion from things that make us sick.

Scientists have also learned that microbes might help our guts do things like process vitamins and important nutrients. Some microbes may help us deal with stress, or adapt to changes. Furthermore, there may come a time—in your lifetime—when illness is treated not with antibiotics, but with extra-special microbes that help us defend our bodies from illness.









Based on "A Brief Study of Guts," which best summarizes the goal of new research into bacteria and microbes?
A. To collect a wide variety of microbes in all mammals including humans
B. To find ways to increase our intake of helpful microbes
C. To find evidence to decrease the use of antibacterial soap
D. To understand how microbes populate the human body and what benefit they provide

Plsssss help will mark brainliest

Is this right? Answer quick please

A rectangular park is 56 mi wide and 157 mi long.



What is the area of the park as a mixed number simplest form?




​

What is the slope-intercept equation for the line below?
5
(4,3)
(0, 1)
5
O A. y=2x+1
B. y=-3x+1
O C. y=-2x+1
O D. y = 2x+1

What is 8/9ths of 4?

5X=(X+1)×4
send some help​

PLEASE HELP!
Which figure has the smaller volume, the cone with a diameter of 7 in. and a height of 5 in. or the sphere with a diameter
of 5 in.?
A. Sphere
B. Cone

3. Vivian has a balance of $1,075 in a savings account that pays 3.25% interest compounded annually. If Vivian makes no deposits or withdrawals, how much money will be in her saving account after 24 months?​

214 out of 450 students went to a concert, what percent did not go?

Consider each statement about finding the measurements of triangles. Choose True or False for each statement.

A. If you know the measures of the three angles of a triangle, you can find the lengths of the sides.
True or False
B. If you know the lengths of the three sides of a triangle, you can find the measures of the angles.
True or False
C. If you know the measures of the two sides of a triangle and the measure of an angle not included between the two sides, you can solve the triangle. True or False