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3 years ago

A runner was timed at 4 miles per hour. how many feet per minute did they run?

Mathematics

2 answers:

kherson [118]3 years ago

8 0

Answer:

352

Step-by-step explanation:

because miles are 5,280 steps so 5,280 multiplied by 4 as in miles is 21,120 so that divided by 60 as in a minute it will be 352

morpeh [17]3 years ago

3 0

The runner ran 352 feet per minute

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Two complex numbers are given byz1= 3 +j4 andz2= 2 +j3. Determine in both polar andCartesian forms

Marat540 [252]

Answer:

Cartesian

z₁= 3 +4*j

z₂= 2 +3*j

Polar

z₁=5 * e^ (0.927*j)

z₁=√13 * e^ (0.982*j)

Step-by-step explanation:

for the complex numbers z the cartesian form of is

z= x + y*j

then

1) z₁= 3 +4*j (cartesian form)

2) z₂= 2 +3*j (cartesian form)

the polar form is

z= r* e^jθ

where

r= √(x²+y²) → r₁ = √(3²+4²) = 5 , r₂ = √(2²+3²) = √13

and

θ = tan⁻¹ (y/x) → θ₁ = tan⁻¹ (4/3)= 0.927 rad , θ₂ = tan⁻¹ (3/2)= 0.982 rad

then

z₁=5 * e^ (0.927*j)

z₁=√13 * e^ (0.982*j)

3 0

4 years ago

Question 6 (1.25 points)

Lisa [10]

Answer:

Test statistic Z= 1.713

The calculated Z- value = 1.7130 < 2.576 at 0.01 level of significance

Null hypothesis is accepted

There is no difference between the mean annual salary of all lawyers in a city is different from $110,000

Step-by-step explanation:

Step(i):-

A researcher wants to test if the mean annual salary of all lawyers in a city is

different from $110,000

Mean of the Population μ = $110,000

Sample size 'n' = 53

Mean of the sample x⁻ = $114,000.

standard deviation of the Population = $17,000,

Level of significance = 0.01

Null hypothesis :

There is no difference between the mean annual salary of all lawyers in a city is different from $110,000

H₀: x⁻ = μ

Alternative Hypothesis : x⁻ ≠ μ

Step(ii):-

Test statistic

$Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{114000-110000}{\frac{17000}{\sqrt{53} } }$

Z = 1.7130

Tabulated value Z = 2.576 at 0.01 level of significance

The calculated Z- value = 1.7130 < 2.576 at 0.01 level of significance

Null hypothesis is accepted

There is no difference between the mean annual salary of all lawyers in a city is different from $110,000

4 0

3 years ago

2. On the snow day, 8 kids from the neighbor-

andre [41]

Answer: 30 buttons

Step-by-step explanation:

If there were 8 kids, and 7 more joined, then there were 15 kids making snowmen (8+7 = 15). Each child used 2 buttons for the eyes, so 30 buttons were used (15 x2 = 30). This is assuming no other buttons were used on the snowmen for anything else

5 0

2 years ago

Pyramid A is a right square pyramid with a height of 100 m and a square base with a perimeter of 356 m. Pyramid B has a square b

Tomtit [17]

Answer:

The volume of pyramid B is 3.5 times greater than the volume of pyramid A

Step-by-step explanation:

The area of squared based a pyramid is given by:

$Area = \frac{1}{3}*s*s*h$

Where 's' the length of the side of the base and 'h' is the height.

For pyramid A:

h= 100 m

s= 356/4 = 89 m

$Area_A = \frac{1}{3}*89*89*100\\Area_A=264,033.33\ m^3$

For pyramid B:

h= 215 m

s= 456/4 = 114 m

$Area_B = \frac{1}{3}*114*114*215\\Area_B=931,380\ m^3$

Pyramid B has a greater volume and the ratio between volumes is:

$\frac{Area_B}{Area_A} =\frac{931,380}{264,033.33}\\\frac{Area_B}{Area_A} =3.5$

3 0

3 years ago

Chris saved x dollars and spent half of his savings buying video games. After earning an additional $15 cutting grass, he had $5

olga55 [171]

Chris started with $70 in the savings account

What is the equation representing the scenario?

The equation representing the scenario painted in the question is: one half times x plus 15 equals 50

1/2*X+15=50

X/2+15=50

X/2=50-15

X/2=35

X=35*2

X=70

In short the amount Chris started with in the savings account is $70

Find out more about savings plan equation on:brainly.com/question/23630456

#SPJ1

4 0

1 year ago

A runner was timed at 4 miles per hour. how many feet per minute did they run?​

A runner was timed at 4 miles per hour. how many feet per minute did they run?