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3 years ago

13

one leg of a right triangle is 1 foot longer than the other leg. the length of the hypotenuse is 5 feet. find the length of the

two legs.

1 answer:

pshichka [43]3 years ago

5 0

The length of the 2 legs will be 5

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At a local preschool, there is a ratio of 3 boys to every 4 girls. If there are 245 total preschoolers enrolled, then how many a

Reika [66]

Set up the equation by writing the number of students in the ratio as a fraction:

3/4= (245-x)/x Cross multiply:

3x= 4(245-x) Multiply on right:

3x= 980-4x Add 4x on both sides:

7x= 980 Divide both sides by 7:

x= 140 this is how many girls there are. And:

245-140= 105= boys

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3 years ago

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Evaluate |2 5/6 +y| for y= 7/4

bearhunter [10]

Answer:

Step-by-step explanation:

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3 years ago

Please help me with the question please ASAP

erica [24]

Answer:

The ratio of perimeter of ABCD to perimeter of WXYZ = $\frac{2}{3}$

Step-by-step explanation:

First, we have to determine the multiplicative factor of the dimensions for both figures.

Considering sides AB and WX,

multiplicative factor = $\frac{12}{8}$

= 1.5

So that:

XY = 6 x 1.5 = 9

YZ = 7 x 1.5 = 10.5

ZW = 7 x 1.5 = 10.5

Perimeter of ABCD = 6 + 7 + 7 + 8

= 28

Perimeter of WXYZ = 9 + 10.5 + 10.5 + 12

= 42

The ratio of the perimeters of the two quadrilaterals can be determined as;

ratio = $\frac{perimeter of ABCD}{Perirmeter of WXYZ}$

= $\frac{28}{42}$

= $\frac{2}{3}$

The ratio of the perimeter of ABCD to perimeter of WXYZ is $\frac{2}{3}$ .

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3 years ago

The following probability distributions of job satisfaction scores for a sample of information systems (IS) senior executives an

Mashcka [7]

Answer:

Step-by-step explanation:

To calculate ;

1) the expected value of the job satisfaction score for senior executives ;

expected value = Summation (Px)

= 1 x 0.05 + 2 x 0.09 + 3 x 0.03 + 4 x 0.42 + 5 x 0.41

= 4.05

2) the expected value of the job satisfaction score for middle managers;

= 1 x 0.04 + 2 x 0.10 + 3 x 0.12 + 4 x 0.46 + 5 x 0.28

= 3.84

c) the variance of job satisfaction scores for executives and middle managers (to 2 decimals).

Executives ; Variance = Summation(PX^2 - Summation(PX)^2

i) For Executive Managers = 1 x 0.05 + 2^2 x 0.09 + 3^2 x 0.03 + 4^2 x 0.42 + 5^2 x 0.41 - 4.05^2 = 1.246 = 1.25

ii) for middle managers ; 1 x 0.04 + 2^2 x 0.10 + 3^2 x 0.12 + 4^2 x 0.46 + 5^2 x 0.28 - 3.84^2 = 1.134 = 1.13

d) the standard deviation of job satisfaction scores for both probability distributions (to 2 decimals). Executives, Middle managers;

For Executives = square root [ 1 x 0.05 + 2^2 x 0.09 + 3^2 x 0.03 + 4^2 x 0.42 + 5^2 x 0.41 - 4.05^2] = 1.12

For Middle Managers ; Square root [1 x 0.04 + 2^2 x 0.10 + 3^2 x 0.12 + 4^2 x 0.46 + 5^2 x 0.28 - 3.84^2 ] = 1.06

e) from the values gotten for the variance of both executive and middle managers, the variance of the former is more than that of the latter as such higher satisfaction with the executive managers.

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3 years ago

Please help me out with this quiz! Alegbra One

Taya2010 [7]

Answer:

1B

2A

3C

4C

5C

6A

7A

8D

9B

10C

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3 years ago