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Serhud [2]
3 years ago
12

Three motorcyclists ride around a circular course starting at the same place and the same time. The first passes the starting po

int every 36 min, the second every 27 min, and the third every 24 min. After how many minutes will all three pass the starting point again at the same time? Explain your reasoning. (Simplify your answer.) minutes A. All three pass the starting point at the same time again after 36.27. 24 = minutes B. All three pass the starting point at the same time again after GCD(36,27,24)= minutes. C. All three pass the starting point at the same time again after LCM(36,27,24) = x​
Mathematics
1 answer:
Natali5045456 [20]3 years ago
5 0

Answer:

C I think

Step-by-step explanation:

Normally L.C.M is the method of finding it

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A marketing organization claims that more than 10% of its employees are paid minimum wage. If a hypothesis test is performed tha
Genrish500 [490]

Answer:

there is insufficient evidence to support the claim that more than 10% of the employees are paid minimum wage.

Step-by-step explanation:

Given that:

A marketing organization claims that more than 10% of its employees are paid minimum wage.

The null hypothesis is:

H_o : p = 10

The alternative hypothesis is:

H_1 : p > 10

If a hypothesis test is performed that fails to reject the null hypothesis, how would this decision be interpreted

i.e Decision Rule: fails to reject the null hypothesis

Then the interpretation of the decision is that, there is insufficient evidence to support the claim that more than 10% of the employees are paid minimum wage.

8 0
3 years ago
Please Help!!!<br> find 8 videos on polynomials and summarise each one in 2-3 sentences
Alex17521 [72]

Answer:

A polynomial is a sum of terms each consisting of a variable raised to a nonnegative integer power. The degree is the highest power of the variable that occurs in the polynomial. The leading term is the term containing the highest degree, and the leading coefficient is the coefficient of that term.

Step-by-step explanation:

hope this is what ur looking for :P

5 0
3 years ago
2.Yolanda is buying supplies for school. She buys n packages of pels at $1.40 per package and m pads of paper at $1.20 each. Wha
Lubov Fominskaja [6]

Answer: 1.4n represents the cost of n packages of pels.

1.20m represents cost of m pads.

Entire expression 1.4n + 1.20m represents total cost of n packages of pels and m pads.

Meaning of 1.4n  =  cost of n packages of pels.

Meaning of 1.20 m = represents cost of m pads.

where , 1.4 = Cost per package of pels

1.2 =Cost per pad of paper

Step-by-step explanation:

Given: Cost per package of pels = $1.40

Cost per pad of paper = $1.20

Number of packages of pels bought = n

Number of pads of paper bought = m

So, 1.4n represents the cost of n packages of pels.

1.20m represents cost of m pads.

Entire expression 1.4n + 1.20m represents total cost of n packages of pels and m pads.

Meaning of 1.4n  =  cost of n packages of pels.

Meaning of 1.20 m = represents cost of m pads.

where , 1.4 = Cost per package of pels

1.2 =Cost per pad of paper

7 0
3 years ago
Determine the length and conductivity of a wire with diameter 4.2 mm constructed from an alloy of resistivity 3.2 x 10^-8 ohms-m
xz_007 [3.2K]

Answer:

1) L = 3.465 × 10^2; 31250000 S/m

2) terminal pd = 11V

3) ₦2

Step-by-step explanation:

1)

diameter of wire (d) = 4.2mm = 4.2 × 10^-3m

resistivity 3.2 x 10^-8 ohms-meter

Resistance(R) = 0.8 ohms

Area of wire (A)= πd^2 / 4

A =[ ( 22/7) * (4.2×10^-3)^2] / 4

A = [22/7 * 17.64×10^-6] / 4

A = 13.86×10^-6m^2

Recall:

Resistivity = (R ×A) / Length

Length = (R × A) / resistivity

Length(L) = [(0.8)(13.86×10^-6)] / 3.2 x 10^-8

L = (11.088 × 10^-6) / 3.2 x 10^-8

L = 3.465 × 10^2

Conductivity = 1/resistivity

Conductivity = 1/3.2 x 10^-8

Conductivity = 31250000 S/m

2)

Series resistor = 1.5 and 4.0 ohms

e.m.f (E) = 12V, internal resistance 'r' = 0.5

Recall :

I = E / (R + r)

Where I = current

R = circuit resistance

R = Rs = 1.5 + 4.0 (series connection) = 5.5

Recall : I = V/R

Where V = voltage ( terminal pd)

Therefore,

V/R = E/(R+r)

V/5.5 = 12/(5.5 + 0.5)

V/5.5 = 12/6

V/5.5 = 2

V = 5.5 × 2

V = 11V

3) power = 100W, t =10 hours

Energy consumed = power × time

Energy consumed = 100W × 10 hrs = 1000Whr

Recall: 1 KW = 1000 W

Therefore, energy consumed = 1KW

Cost of energy per KW = ₦2

Therefore, cost of lightning the lamp = ₦2 × 1KW = $2

4 0
4 years ago
Students voted for a new class president and the results are shown in the table.
blsea [12.9K]

Answer:

113:348

Step-by-step explanation:

i got it wrong cause i only put 113 but it showed this is the answer

6 0
3 years ago
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