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1 year ago

A plane which passes through three edges of a cube produces a triangular cross section as shown.

Mathematics

1 answer:

77julia77 [94]1 year ago

7 0

Answer:

The plane should pass through the central axis, along the vertical diagonals of the cube, in order to produce a cross section that is a regular hexagon.

Step-by-step explanation:

The plane should pass through the central axis, along the vertical diagonals of the cube, in order to produce a cross section that is a regular hexagon.

Please see the image attached for better visualization.

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A product is composed of four parts. In order for the product to function properly in a given situation, each of the parts must

svet-max [94.6K]

Answer:

P(working product) = .99*.99*.96*.96 = .0.903

Step-by-step explanation:

For the product to work, all four probabilities must come to pass, so that

P(Part-1)*P(Part-2)*P(Part-3)*P(Part-4)

where

P(Part-1) = 0.96

P(Part-2) = 0.96

P(Part-3) = 0.99

P(Part-4) = 0.99

As all parts are independent, so the formula is P(A∩B) = P(A)*P(B)

P (Working Product) = P(Part-1)*P(Part-2)*P(Part-3)*P(Part-4)

P (Working Product) = 0.96*0.96*0.96*0.99*0.99

P(Working Product) = 0.903

3 0

1 year ago

A fitted multiple regression equation is Y = 28 + 5X1 - 4X2 + 7X3 + 2X4. When X1 increases 2 units and X2 increases 2 units as w

ad-work [718]

Answer:

A. Increase by 2

Step-by-step explanation:

Given that a fitted multiple regression equation is

$Y = 28 + 5X_1 -4X_2 + 7X_3 + 2X_4$

This is a multiple regression line with dependent variable y and independent variables x1, x2, x3 and x4

The coefficients of independent variables represent the slope.

In other words the coefficients represent the rate of change of y when xi is changed by 1 unit.

Given that x3 and x4 remain unchanged and x1 increases by 2 and x2 by 2 units

Since slope of x1 is 5, we find for one unit change in x1 we can have 5 units change in y

i.e. for 2 units change in x1, we expect 10 units change in Y

Similarly for 2 units change in x2, we expect -2(4) units change in Y

Put together we have

$10-8 =2$ change in y

Since positive 2, there is an increase by 2

A. Increase by 2

5 0

2 years ago

Last year your professor wanted to study the pattern in class grades. The following table contains a sample of grades collected

Maslowich

Answer:

mean = 78.4

median = 77.5

mode = 75

This is Right - skewed (positive skewness) distribution

Step-by-step explanation:

Mean:-

The mean (average) is found by adding all of the numbers together and dividing by the number of items and it is denoted by x⁻

mean = $\frac{64+80+75+98+75}{5}$

mean (x⁻ ) = 78.4

The mean of the given data = 78.4

Median:

The median is found by ordering the set from lowest to highest and finding the exact middle.

64 ,75, 80, 98

The middle term of the given data set = $\frac{75+80}{2} =77.5$

Mode :

The mode is the most common repeated number in a data set.

64 ,75, 75, 80, 98

in data the most common number = 75

Conclusion:-

mean = 78.4

median = 77.5

mode = 75

This is Right - skewed (positive skewness) distribution

8 0

1 year ago

Maria started her business with $50 in her bank account. At the end of the month, she had +$60 in her account in addition to the

Sladkaya [172]

In the original statement, it says 'in addition to the initial $50' meaning that you're adding $50+$60. The correct answer would be: She gained $60.

5 0

1 year ago

14 T 1,000 lb. + 2 T 1,000

Olegator [25]

The answer will be 17 tons.

Step-by-step explanation:

Since we have given that

14 T 1,000 lb. + 2 T 1,000 lb.

As we know that

$1\ ton=2000\ lbs\\\\14\ tons=2000\times 14\ lbs\\\\14\ tons=28000\ lbs$

So, 14 T 1,000 lb. is given by

$28000\ lbs+1000\ lbs\\\\=29000\ lbs$

Similarly,

$1\ ton=2000\ lbs\\\\2\Tons=2\times 2000\ lbs\\\\2\ tons=4000\ lbs$

so,

2T 1,000 lb. is given by

$4000+1000\\\\=5000\ lbs$

So, 14 T 1,000 lb. + 2 T 1,000 lbs is given by

$29000+5000\\\\=34000\ lbs\\\\=\frac{34000}{2000}\\\\=17\ tons$

Hence, the answer will be 17 tons.

6 0

2 years ago