1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jarptica [38.1K]
4 years ago
15

John takes one step every second, and each step is 33 inches long. How many miles per hour is John walking, given that 5280 feet

= 1 mile? Express your answer as a decimal to the nearest thousandths
Mathematics
1 answer:
Minchanka [31]4 years ago
8 0

Answer:

1.875 mi/h

Step-by-step explanation:

We first convert 5280 feet to inches which is 63360 inches. Next, we divide 63360 inches by 33 inches which is 1920. To find this in minutes, we do 1920/60 which equals 32 minutes. Last, we divide 60 by 32 and get 1.875. Therefore, John walks 1.875 miles per hour.

You might be interested in
"A supplier of digital memory cards claims that no more than 1% of the cards are defective. In a random sample of 600 memory car
Nady [450]

Answer:

Both the values fall in the critical region so we reject H0: p ≤ 0.01  and conclude that the results are significantly different from chance identification and it is not a sample fluctuation.

Step-by-step explanation:

1) Formulate the hypothesis

H0: p ≤ 0.01 against  the claim Ha: p > 0.01

2) Choose the significance level ∝= 0.01

3) The test statistics under H0 is

z= x -np /√npq  ( without continuity correction)

z= x ± 1/2 -np /√npq  ( with continuity correction)

4) the critical region is z> ±2.33 because the alternate hypothesis is stated on greater than basis.

5)Computations:

Z=  x -np /√npq  ( without continuity correction)

Z= 6- 600( 0.03)/√ 600( 0.03)(0.97)

z= - 2.82  ( without continuity correction)

z= x ± 1/2 -np /√npq  ( with continuity correction)

Z= (6-0.5)- 600( 0.03)/√ 600( 0.03)(0.97)

z= -12.5/4.1785

z= -0.29915  ( with continuity correction)

6) Both the values fall in the critical region so we reject H0: p ≤ 0.01  and conclude that the results are significantly different from chance identification and it is not a sample fluctuation.

8 0
3 years ago
Im trying to do IXL and I dont understand the way my teacher teaches (ironic right?)
Hoochie [10]

Answer:

r = - 2

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to \frac{1}{7}

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 9, - 3) and (x₂, y₂ ) = (- 2, r)

m = \frac{r+3}{-2+9} , that is

\frac{r+3}{7} = \frac{1}{7} ( cross- multiply )

7(r + 3) = 7 ( divide both sides by 7 )

r + 3 = 1 ( subtract 3 from both sides )

r = - 2

8 0
3 years ago
Abc daycare wants to build a fence to enclose a rectangular playground. the area of the playground is 930 square feet. the fence
Dahasolnce [82]
Xy = 940 

<span>and </span>

<span>Cost = 5(2x) + 5y + 10y (I chose y to be the side with brick). The cost equation simplifies to: </span>

<span>C = 10x + 15y </span>

<span>Replace y in the cost equation with 940/x: </span>

<span>C = 10x + 15(940/x) </span>

<span>C = 10x + 14100/x <---this is the equation you need to minimize. </span>

<span>C' = 10 - 14100/x^2 </span>

<span>10 - 14100/x^2 = 0 </span>

<span>14100/x^2 = 10 </span>

<span>x^2 = 14100/10 = 1410 </span>

<span>x = sqrt(1410) = 37.55 </span>

<span>y = 25.03 <---this is the length of the brick fence.</span>
4 0
4 years ago
You are staffing a new department, and you have applications on your desk. You will hire 2 of the 5 software engineers who have
Makovka662 [10]

Answer:

The total number of possible complete staffs you could hire is 350.

Step-by-step explanation:

The order that the software engineers are is not important. For example, hiring John and Laura as the software engineers is the same as hiring Laura and John. The same applies for the computer engineers. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

What is the total number of possible complete staffs you could hire?

2 software engineers from a set of 5

3 computer engineers from a set of 7

So

T = C_{5,2}*C_{7,3} = \frac{5!}{2!3!}*\frac{7!}{3!4!} = 10*35 = 350

The total number of possible complete staffs you could hire is 350.

8 0
3 years ago
What is the greatest common factor of 10 and 3? i dont get this i have a math touter that wont really help and i still dont unde
Alexxandr [17]

Answer:

1

Step-by-step explanation:

listing the factors of both numbers

factors of 10 are 1, 2, ,5, 10

factors of 3 are 1, 3

the only common factor to both is 1

the greatest common factor is 1

6 0
2 years ago
Other questions:
  • Subtract 1/6a+3 from 1/3a−5 .
    9·1 answer
  • On a coordinate plane, polygon GHIJ translates 8 units to the left to form polygon G 'H 'I 'J '. Which of the following equation
    14·2 answers
  • Evaluate f(9) given f(x)=-x+7
    11·1 answer
  • The histogram shows the ages of people in a community chorus.
    12·1 answer
  • Timothy has a fenced-in garden in the shape of a rhombus. The length of the longer diagonal is 24 feet, and the length of the sh
    14·1 answer
  • Simplify and rationalize the expression.
    12·1 answer
  • Pete has a 15-foot ladder. The safety instructions recommend he should have the base of the ladder 6 feet from the base of the w
    13·2 answers
  • A letter is chosen from the word shown.
    8·1 answer
  • Show Work! There are 380 students, teachers, and chaperones going on school buses for a field trip. Each school bus can hold 68
    10·1 answer
  • Solve completely (all missing sides and all missing angles) using trig ratios or laws. Round to the nearest tenth.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!