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4 years ago

What is the width rounded to the nearest whole number? (width = 13.62 ft)

Mathematics

1 answer:

Zanzabum4 years ago

6 0

Answer:

Step-by-step explanation:

Our goal is to round it so we only have an integer part using the following rules:

If the first digit in the fractional part of 13.62 is less than 5 then we simply remove the fractional part to get the answer.

If the first digit in the fractional part of 13.62 is 5 or above, then we add 1 to the integer part and remove the fractional part to get the answer.

The first digit in the fractional part is 6 and 6 is 5 or above. Therefore, we add 1 to the integer part and remove the fractional part to get 13.62 rounded to the nearest whole number as:

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Need help asap solve for x!

ra1l [238]

please use my image as a reference (figure not drawn to scale).

AB is a straight line and the angle of a straight line = 180°

so that means $5x + (6+x) = 180$ , solve for $x$ :

$5x+(6+x)=180\\5x+6+x=180\\$ combine like-terms

$5x+x=180-6\\6x=174\\x=\frac{174}{6}$

$x=29$ °

if you want to make sure of the answer, plug in $x$ in the equation:

$5x+(6+x)=180\\5(29)+(6+29)=180\\145+35=180\\180=180$

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3 years ago

1O POINTS PLS ANSWER ASAP THANKS

ankoles [38]

Answer:

Step-by-step explanation:

The angle measuring 152 is split up, per se, into 2 angles. One of them is a 90 degree angle, as demonstrated by the little square that is above the 152. That 90 degree angle is on a straight line with the 28 degree angle and the angle measured as x. A straight line has a measure of 180. Therefore, 180 - 28 - 90 = x, so x = 62

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3 years ago

A manufacturing company produces steel housings for electrical equipment. The main component part of the housing is a steel trou

Mrrafil [7]

Answer:

Check the explanation

Step-by-step explanation:

(a)

H0: Population mean = 8.46

H1: Population mean is not equal to 8.46

The test statistic (t) is given by the following expression -

${t=\frac{\overline{x}-\mu_0}{s/\sqrt{n}}}$

We have calculated the sample mean (8.421) and sample standard deviation (0.0461). Therefore, the test statistic (t) will be -

t = (8.421 - 8.46)/(0.0461/sqrt(49)) = -5.92

The left-sided critical value from t-distribution (two-tailed) is -2.01. Thus the test statistic falls in the rejection region and we reject the null hypothesis at 95% confidence level and conclude that the population mean is different from 8.46 inches.

(b)

There are the following four assumptions for a single sample t-test.

The observations are in ratio scale.

The observations have been taken in such a manner that every single observation is independent and uncorrelated from the others.

There should not be any significant outliers in the sample observations.

The sample data should be approximately normal.

(c)

The first assumption is true as the data is in inches. The second assumption cannot be tested now. It will depend upon the situation and study design which we assume as correct in this case. The third assumption is checked by plotting a box plot and finding the outliers. The final assumption can be checked using the Anderson-Darling normality test.

Kindly check the graphical table in the attached images below.

(d)

The data is normal (the p-value of Anderson-Darling test in > 0.05). However, two points in the Box plot are outliers though not grossly different from the entire sample data set. So, we conclude that the assumptions are valid in this case for conducting the t-test.