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Sphinxa [80]
3 years ago
9

Use the information to answer questions 8 and 9.

Mathematics
1 answer:
inessss [21]3 years ago
8 0

Answer:

18

Step-by-step explanation:

the factors and prime factorization of 36 and 54. The biggest common factor number is the GCF number. So the greatest common factor 36 and 54 is 18.

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The total resistance in a circuit with two parallel resistors is 2 ohms and R1 is 6 ohms. Using the equation for R2, in terms of
ivanzaharov [21]
<h2>Answer:</h2>

R_2  is 3 ohms

<h2>Step-by-step explanation:</h2>

In a circuit containing two resistors R_1 and R_2 connected together in parallel, the total resistance R_T is given by;

\frac{1}{R_T} = \frac{1}{R_1}  + \frac{1}{R_2}              ---------(i)

<em>Make </em>R_2<em> subject of the formula;</em>

=> \frac{1}{R_2} = \frac{1}{R_T}  - \frac{1}{R_1}  

=> \frac{1}{R_2} = \frac{R_1 - R_T}{R_TR_1}

=>   {R_2} = \frac{R_TR_1}{R_1 - R_T}       ---------------(ii)

From the question,

R_1 = 6Ω

R_T = 2Ω

Substitute these values into equation (ii) as follows;

=> {R_2} = \frac{2*6}{6 - 2}

{R_2} = \frac{12}{4}

R_2 = 3Ω

Therefore, the value of R_2 = 3 ohms or R_2 = 3Ω

3 0
3 years ago
How much time will it take for the plane to land?
serious [3.7K]

Answer:

Again assuming we're cleared for immediate take off, it takes around 20 minutes to climb to cruise altitude, at an average ground speed of (say) 200 knots. This means we've covered about 70 miles, which the cruising aircraft would have covered in just over 10 minutes. So this final phase has cost us another 10 minutes

7 0
2 years ago
This past week the 8<br> hens laid a total of 48<br> eggs. How many eggs did<br> each hen lay?
cupoosta [38]

Answer:

6 eggs

Step-by-step explanation:

48 (total eggs) divided by 8 (total hens) = 6 eggs for each hen

8 0
2 years ago
Read 2 more answers
Find the measure of angle x in the figure below:
Sergeeva-Olga [200]

Answer:

30 degrees.

Step-by-step explanation:

We are going to use two theorems: Triangle Sum Theorem and Vertical Angles Theorem. Please let me know if you need me to define them.

Here is how I solved this problem:

75+75 = 150.

180-150 = 30(Triangle Sum theorem)

x = 30(Vertical Angles theorem.)

3 0
2 years ago
math problme After hearing of the national result that 44% of students engage in binge drinking (5 drinks at a sitting for men,
natali 33 [55]

Answer:

According to the result of the hypothesis test, there is no significant difference between the true population proportion of students who binge drink according to the results of the Professor's survey and the national standard of 0.44.

So, the Professor shouldn't be surprised by this result.

Step-by-step explanation:

- The known standard proportion of students for binge drinking is 44% = 0.44.

- In the Professor's random sample, 96 out of 244 students admitted to binge drinking in the past week.

- So, we need to check if the result of the random sample is in keeping with the known national standard.

For hypothesis testing, the first thing to define is the null and alternative hypothesis.

The null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test.

While, the alternative hypothesis usually confirms the the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test.

For this question, the null hypothesis is that there is no significant difference between the true population proportion of students who binge drink according to the results of the Professor's survey and the national standard of 0.44.

The alternative hypothesis will now be that there is significant difference between the true population proportion of students who binge drink according to the results of the Professor's survey and the national standard of 0.44.

Mathematically,

The null hypothesis is represented as

H₀: p = 0.44

The alternative hypothesis is given as

Hₐ: p ≠ 0.44

To do this test, we will use the t-distribution because no information on the population standard deviation is known

So, we compute the t-test statistic

t = (x - μ)/σₓ

x = sample proportion of the Professor's poll = (96/244) = 0.393

μ = p₀ = the national standard = 0.44

σₓ = standard error = √[p(1-p)/n]

where n = Sample size = 244

σₓ = √[0.393×0.607/244] = 0.0313

t = (0.393 - 0.44) ÷ 0.0313

t = -1.50

checking the tables for the p-value of this t-statistic

Degree of freedom = df = n - 1 = 244 - 1 = 243

Significance level = 0.05 (most tests are performed at 5% significance level)

The hypothesis test uses a two-tailed condition because we're testing in the two directions.

p-value (for t = -1.50, at 0.05 significance level, df = 243, with a two tailed condition) = 0.134913

The interpretation of p-values is that

When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.

So, for this question, significance level = 0.05

p-value = 0.134913

0.134913 > 0.05

Hence,

p-value > significance level

This means that we fail to reject the null hypothesis & say that there is not enough evidence to conclude that there is a significant difference between the true population proportion of students who binge drink according to the Professor's survey and the national standard.

That is, there is no significant difference between the true population proportion of students who binge drink according to the results of the Professor's survey and the national standard of 0.44.

Hope this Helps!!!

8 0
3 years ago
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