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Svetach [21]
2 years ago
9

a wagon is pulled at speed of 40.0 m/s by a horse exerting 1800 newton horizonal force what is the power of horse

Mathematics
1 answer:
Sonbull [250]2 years ago
3 0

Answer:

The power of horse is:  P = 72000 W

Step-by-step explanation:

Given

  • F = 1800 N
  • v = 40.0 m/s

To determine

P = ?

Using the formula

\:\:\:P=\overrightarrow{F\cdot }\overrightarrow{v}

The  ⋅  in the formula represents a scalar product, defined by:

\overrightarrow{v\cdot }\overrightarrow{w}=|v||w|cos\:\theta

The angle Ф is zero because F and v are are parallel.

Thus the cosine is 1.

Therefore,

P = (1800) (40.0)

P = 72000 W

Hence, the power of horse is:  P = 72000 W

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A wedding website states that the average cost of a wedding is $25,809. One concerned bride hopes that the average is less than
lapo4ka [179]

Answer:

1)

Null hypothesis            H₀ : μ = 25,809

Alternative hypothesis H₁ : μ < 25,809

2) Test Statistic = -1.44

3) Conclusion:

The result is significant, there is sufficient evidence to support the bride’s hope at the 0.10 level of significance.

Step-by-step explanation:

Given the data in the question;

Sample mean x" = 24,638

sample size n = 46

standard deviation σ = 5531

level of significance ∝ = 0.10

NULL and ALTERNATIVE HYPOTHESIS

Null hypothesis            H₀ : μ = 25,809

Alternative hypothesis H₁ : μ < 25,809

TEST STATISTICS

Z = (x"-μ) / σ√n

we substitute

Z = (24,638 - 25,809) / (5531/√46)

Z = -1171 / 815.5

Z = -1.44

Test Statistic = -1.44

Now, from normal z-table;

P-value = P( Z < -1.44 ) = 0.0749

P-value = 0.0749

Since P-value ( 0.0749 ) is less than level of significance ( 0.10 ), we reject H₀.

Conclusion:

The result is significant, there is sufficient evidence to support the bride’s hope at the 0.10 level of significance.

6 0
3 years ago
What would be the answer for 75 X 152
Alekssandra [29.7K]

Answer:

75 x 152 = 11,400.

Step-by-step explanation:

75 times 152 equals 11,400. You can find this by using a calculator, or you can multiply it out by hand. There's lots of videos on how to multiply things by hand, if you wanted to learn how. Hope this helps! :)

5 0
3 years ago
Read 2 more answers
What are the first two steps of drawing a triangle that has all side lengths equal to 12 centimeters?
ArbitrLikvidat [17]

Answer:

12

60

Step-by-step explanation:

7 0
2 years ago
Complete the table and find the balance A if $5000 is invested an an annual rate of 6% for 15 years and compounded n times a yea
Olenka [21]

Answer:

1: 11982.79

2: 12136.31

4: 12216.09

12: 12270.46

365: 12297.10

Step-by-step explanation:

The compound interest formula is A=P*(1+r/n)^nt

P=principal amount

r=rate

n=number of compounds per period

t=number of periods

In this situation, the principal amount is 5,000=P. The rate is 6%, so r=0.06. n is equal to the top number in the table. And this is 15 years, so t=15.

For 1, it would be A=5,000*(1+.06/1)^1*15, or A=5,000(1.06^15), or 11982.79.

For 2, it would be 5,000*(1+.06/2)^2*15, or 5,000*(1.03^30), or 12136.31.

And so forth. Good luck

5 0
3 years ago
ON A BUS ROUTE, THREE NEW PEOPLE GET ON THE BUS AT EACH STOP AFTER THE FIRST ONE. AT THE FIRST STOP SEVEN PEOPLE GET ON THE BUS.
Mumz [18]
7,3...

since we don't know how many stops after there are we will assume it just continues on and put three dots. (...)

Please rate and thank if I helped and tag me if you need help again!

7 0
3 years ago
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