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3 years ago

Put the following steps for analyzing mathematical models in the correct order, starting with the first step on the top.

Mathematics

1 answer:

morpeh [17]3 years ago

7 0

Answer: The correct order of the options is 4, 3, 2, 1 and 5.

Explanation:

The steps for analyzing mathematical models are,

To analyzing a mathematical model first we have to defined the problem and identify parameters.

The second step is, defined the data needed. it means determine that which type of data is required according to the problem and parameters and neglect the relevant data.

The third step is collect or gather needed data. To solve the defined problem we need the related data.

The fourth step is arrange or analyse the data according to the requirements.

THe fifth step is after analysing the data draw a reasonable conclusion.

Therefore, the correct order of the options is 4, 3, 2, 1 and 5.

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90% of runners who started a marathon completed it. Of those, 30% are men. If 270 men completed the marathon, then how many tota

il63 [147K]

Given- 90% of runner completed the marathon.

out of which 30% are man.

To proof - let the total number of runner be y.

the men completed the marathon be 30% of the 90%.

thus we have

30% of 90% of y = 270

$\frac{30}{100}$ × $\frac{90}{100}$ ×y = 270

now solving the above equation

we get

$\\y=\frac{270\times 100\times 100}{90\times 30}$

Thus solving the equation

y = 1000

Thus the total runners of men who completed marathon be 1000.

Hence proved

7 0

3 years ago

Approximately 13.2% of US drivers are younger than age 25, with 37.7% in the 25-44 age group, and 49.1% in the 45-and-over-categ

Elan Coil [88]

Answer:

could not be the same

Step-by-step explanation:

Given that approximately US drivers are agewise as follows:

<25 13.2

25-45 37.7%

>45 49.1%

Observations are made for a sample of 200 fatal accidents.

Let us create hypotheses as

$H_0: Proportions age wise are the same as for US drivers\\H_a: Proportions are different$

(Two tailed chi square test at 5% significance level)

Age <25 25-45 >45

Expected 13.2 37.7 49.1 100

Observed 42 80 78 200

Expected no 26.4 75.4 98.2 200

Chi square 9.218181818 0.280636605 4.155193483 13.65401191

df = 2

p value = 0.001084

Since p <0.05 we reject null hypothesis

At the 0.05 level, the age distribution of drivers involved in fatal accidents within the state could not be the same as the age distribution of all US drivers as there seems to be significant difference.

5 0

3 years ago

Please help will mark brainiest!!!!!!!!!

Lorico [155]

1. Rational. It is non-terminating but repeating.

2. Irrational. It is non-terminating, non-repeating

3. Irrational. π is irrational

4. Rational. √49 is 7

5. Irrational. 22 is not a square.

4 0

4 years ago

When it is operating properly, a chemical plant has a daily production rate that is normally distributed with a mean of 885 tons

-BARSIC- [3]

Answer:

The test statistic Z = 1.844 < 1.96 at 0.05 level of significance

Null hypothesis is accepted

Yes he is right

The manager claims that at least 95 % probability that the plant is operating properly

Step-by-step explanation:

Explanation:-

Given data Population mean

μ = 885 tons /day

Given random sample size

n = 60

mean of the sample

x⁻ = 875 tons/day

The standard deviation of the Population

σ = 42 tons/day

Null hypothesis:- H₀: The manager claims that at least 95 % probability that the plant is operating properly

Alternative Hypothesis :H₁: The manager do not claims that at least 95 % probability that the plant is operating properly

Level of significance = 0.05

The test statistic

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

$Z = \frac{875 -885}{\frac{42}{\sqrt{60} } }$

$Z = \frac{-10}{5.422} = -1.844$

|Z| = |-1.844| = 1.844

The tabulated value

$Z_{\frac{0.05}{2} } = Z_{0.025} = 1.96$

The calculated value Z = 1.844 < 1.96 at 0.05 level of significance

Null hypothesis is accepted

Conclusion:-

The manager claims that at least 95 % probability that the plant is operating properly

8 0

3 years ago

Find m∠ABC in the picture. (it's not solving for x.)

lys-0071 [83]

Answer:

The answer would be 6º

Step-by-step explanation:

first we know that a straight lin is always 180º

so since we know that the angle outside of the triangle is 110º we can do 180º -110º

then we get the measuerment for angle C :70º

since we dont know the measurements of the other angles but know that a full triangle is equal to 180º we make this equation

2+6x+12x+70=180

then we solve

72+18x=180

-72 -72

18x=108

/18 /18

x=6

then we plug in the x value to find the angle measurement

2+6(6)

2+36

38º

your answer is m<CAB is 38º

4 0

3 years ago