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Assoli18 [71]
2 years ago
15

1. A researcher is interested in studying whether or not listening to music while jogging makes people run faster. He thinks tha

t listening to music will make people run faster. Luckily, he knows that, for the population he interested in (runners in Washington, DC), the mean running speed (μ) is 6mph, and the standard error is 2mph. He collects data from a sample of runners that only listen to music, and finds they have a mean running speed (M) of 9mph. No Sample Size givenA. State the hypothesisH0:H1:B. The researcher would like to conduct a One-Sample Z-test. Please calculate the Z-statistic (Z-obtained):
Mathematics
1 answer:
castortr0y [4]2 years ago
4 0

Step-by-step explanation:

1.Assuming the same sample size and considering the same value for the errors ( not taking into consideration the type of music, the volume of the sound and cow familiar the runner is with that type of stimuli, age group, time of the day/ number of days, running conditions like wether and equipment, distance) one can state:

A. Music has no influence over the running speed ( when jogging) in Washington DC

B.When listening to music, people ( in Washington DC) run faster while jogging

The mean running speed is a simple, ponderate or other type of mean ( that takes into consideration the variations of speed at the beginning and by the end of the race?

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In the xy plane, a quadrilateral has vertices at (-1, 4), (7,4), (7,5), and (-1. 5). What is the perimeter of the quadrilateral?
iris [78.8K]

Answer:

(B) 18.

Step-by-step explanation:

We are asked to find the perimeter of a quadrilateral with vertices at (-1, 4), (7,4), (7,5), and (-1. 5).

First of all, we will draw vertices of quadrilateral on coordinate plane and connect the vertices as shown in the attached photo.

We can see that our quadrilateral is a parallelogram, whose parallel sides are equal.

\text{Perimeter of quadrilateral}=8+1+8+1

\text{Perimeter of quadrilateral}=16+2

\text{Perimeter of quadrilateral}=18

Therefore, the perimeter of the given quadrilateral is 18 units.

8 0
2 years ago
It costs $3 to bowl a game and $2 for shoe rental. a. Write an expression for the total cost (in dollars) of $g$ games. Expressi
Semmy [17]

Answer: a. Total cost = 3g+2

b. The total cost of 8 games is $26.

Step-by-step explanation:

Given: Cost to bowl a game = $3

Shoe rental charge = $2  (One -time charge)

Total cost = (Cost to bowl a game) x (Number of games)+ (Shoe rental charge )

Let g= number of games, then the expression to find the total cost will be :

Total cost = 3g+2

To find the total cost of 8 games, put g=8, we get

Total cost = 3(8)+2

= 24+2 = $26

Therefore , the total cost of 8 games is $26.

7 0
1 year ago
The histogram shows the number of cell phone calls received by Medera, a middle school student, one Saturday from 10 a.m. to 10
Anni [7]

Answer:

The hours when zero calls were received were most possibly when Madera turned the phone off while playing in a soccer game.

Step-by-step explanation:

According to the question,

Madera, a middle school student, received some phone calls on one Saturday from 10 a.m. to 10 p.m.

The hours when zero calls were received were most possibly when Madera turned the phone off while playing in a soccer game.

4 0
2 years ago
Read 2 more answers
Annual income of A is 10% more than of B whereas income of B is 20% more than that of C. If monthly income of C is $ 2000 then w
Vanyuwa [196]

Answer:

7040

Step-by-step explanation:

C= 2000

B = 20/100 x 2000 = 400 + 2000 = 2400

A= 10/100 x 2400 = 240+2400= 2640

2000 + 2400 + 2640 = 7040

3 0
1 year ago
What is the length of line segment EF if DE is 6ft and DF is 11ft and angle FDE is 40 degrees​
Anna [14]

Answer:

The length of EF = 7.48 feet

Step-by-step explanation:

* Lets consider these tree segment formed triangle DEF

- We have the length of two sides and the measure of the

  including angle between these two sides

* So we can use the cos Rule to find the length of the third side

- The cos rule ⇒ a² = b² + c² - 2bc cosA

# a is the side opposite to angle A

# b is the side opposite to angle B

# c is the side opposite to angle C

# Angle A is the including angle between b and c

* In the problem

∵ DE = 6 feet

∵ DF = 11 feet

∵ m∠FDE = 40° ⇒ including angle between DE and DF

  and opposite to EF

- By using cos Rule

∴ (EF)² = (DE)² + (DF)² - 2(DE)(DF) cos∠FDE

∴ (EF)² = (6)² + (11)² - 2(6)(11) cos(40)

∴ (EF)² = 55.882133 ⇒ take square root for both sides

∴ EF = 7.47543 ≅ 7.48 feet

* The length of EF = 7.48 feet

6 0
2 years ago
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