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4 years ago

Sorgan Hemdon

Mathematics

1 answer:

goldenfox [79]4 years ago

3 0

Answer:

so a perpendicular line's slope will be the opposite reciprocal

in 4r-10y=40 the slope of this line is 4/10(-a/b). So the slope of the perpendicular line would be -10/4 (-5/2) hope this helps!

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The mean of the commute time to work for a resident of a certain city is 27.3 minutes. Assume that the standard deviation of the

posledela

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Mean commute time (m) = 27.3 minutes

Standard deviation (sd) = 7.1 minutes

a) What minimum percentage of commuters in the city has a commute time within 2 standard deviations of the mean?

Using chebyshev's theorem ;

No more than 1/k² values of a distribution can be

k standard deviations from the mean.

Here k = 2

Hence,

1/k² = 1/2² = 1/4 = 0.25

Hence, minimum percentage of commmuters within 2 standard deviations of the mean :

1 - 0.25 = 0.75 m

B.) What minimum percentage of commuters in the city has a commute time within 1.5 standard deviations of the mean?

Here, k = 1.5

1/k² = 1/1.5² = 1/2.25 = 0.444

Hence, minimum commute time within 2 standard deviations of the mean :

1 - 0.444 = 0.56 = 56%

Commute time within 1.5 standard deviation

[27.3 - (1.5 × 7.1), 27.3 + (1.5 * 7.1)

[16.65, 37.95]

C.) What is the minimum percentage of commuters who have commute times between 6minutes and 48.6 minutes?

X - m /sd

X = 6

= (6 - 27.3) / 7.1 = - 3

X = 48.6

= (48.6 - 27.3) / 7. 1 = 3

Hence,

1/k² = 1 / 3² = 1/9

1 - 1/9 = 8/9

= 0.888 = 0.89 = 89%

3 0

4 years ago

A study is performed in a large southern town to determine whether the average weekly grocery bill per four-person family in the

OLga [1]

Answer:

The average weekly grocery bill per four-person family in the town is significantly different from the national average.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $100

Sample mean, $\bar{x}$ = $103.23

Sample size, n = 25

Alpha, α = 0.05

Sample standard deviation, s = $8.82

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 100\text{ dollars}\\H_A: \mu \neq 100\text{ dollars}$

We use Two-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{103.23- 100}{\frac{8.82}{\sqrt{25}} } = 1.831$

Now,

$t_{critical} \text{ at 0.05 level of significance, 24 degree of freedom } = \pm 2.063$

Since,

$t_{stat} < t_{critical}$

We accept the null hypothesis.

We accept the null hypothesis and determine that the average weekly grocery bill per four-person family in the town is significantly same to the national average.

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sp2606 [1]

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Scrat [10]

Answer:

but it is in simplest form¿ can u explain more

Step-by-step explanation:

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The absolute value of a number is always positive.<br><br><br> Truth or false

Dovator [93]

Answer:

True

Step-by-step explanation:

Absolute value is always positive Because it's the distance of a number is from 0, it would always be positive.

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