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MAVERICK [17]
4 years ago
13

If sec(x)=25/24, find cotangent (x)

Mathematics
1 answer:
nadezda [96]4 years ago
8 0
The answer is 1.042 because you have to divide 25 by 24
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Since an instant replay system for tennis was introduced a a major tournament, men challenged 1390 referee calls, with the resul
alexandr402 [8]

Answer:

H0: μm − μw = 0

against the claim

Ha: μm − μw ≠ 0

Since the calculated value of z= 0.6177 does not lie in the critical region the null hypothesis is accepted that men and women have equal success in challenging calls.

Step-by-step explanation:

1) Let the null and alternate hypothesis be

H0: μm − μw = 0

against the claim

Ha: μm − μw ≠ 0

2) The significance level is set at 0.05

3) The critical region is z > + 1.96 and z< -1.96

4) The test statistic

Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]

Here p1= 411/ 1390= 0.2956     and    p2= 213/753=0.2829

pc = 411+ 213/1390+753

pc=624/2143

pc= 0.2912

qc= 1-pc= 1-0.2912=0.7088

5) Calculations

Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]

z= 0.2956-0.2829/√ 0.2912*0.7088( 1/1390+ 1/753)

z= 0.0127/ √0.2064 (0.00204)

z= 0.0127/0.02056

z= 0.6177

6) Conclusion

Since the calculated value of z= 0.6177 does not lie in the critical region the null hypothesis is accepted that men and women have equal success in challenging calls.

3 0
3 years ago
If the diameter of the Ferris wheel is 70 feet across, find the total distance traveled in one revolution.
kirill [66]

Answer: Assuming pi is rounded off to 3.14, it is 219.8 feet; if not it is 70π feet

Circumference=one revoloution

Circumference=Diameter times pi

C=Dπ

C=3.14*70

=219.8

219.8 feet

3 0
3 years ago
The ratio of the weight of an object on planet earth to the weight of the same object on planet B is 100 to 3 if an elephant wei
Gennadij [26K]

Answer:

144 pounds

Step-by-step explanation:

Weight of object Earth: Weight of Object Planet B

100:3 = 4800:b

100/3=4800/b

100b=14400

b=144

Therefore, 144 pounds

3 0
3 years ago
Select all of the numbers that are correctly written in scientific notation. 10.8\times10^{-3}10.8×10 −3 0.54\times10^60.54×10 6
Varvara68 [4.7K]

Answer:

<h2><em>1×10⁻⁴ and 9.8×10⁵</em></h2>

Step-by-step explanation:

The standard form of writing a scientific notation is expressed as a.b*10^n where a, b and n are integers. Note that a, b and n cannot be a fraction. When writing in scientific notation, the value of 'a' must not be equal to zero and it must not be a 'two digits values' but just 'a digit value'.

<em>Based on the above conclusion, the following numbers are correctly written in scientific notation.</em>

<em>1×10⁻⁴ and 9.8×10⁵</em>

- The expression 10.8×10 −3 is not correctly written because the value of a on comparison is a two digits number i.e 10.

- Also, 0.54×10^6 is not correctly written because a is zero on comparison

- 7.6×10 2.5 is not correctly written because the power is a decimal number i.e 2.5. We must only have an integer as the degree.

7 0
3 years ago
Making assumptions should ______ the problem not answer the problem as this is solved in the mathematical model
Tamiku [17]

Answer:

Making assumptions should simplify the problem

Step-by-step explanation:

Making assumptions about a problem can help simplify the problem for a suitable solution, it can also help to gather facts based on previous experience about the problem at hand.

3 0
3 years ago
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