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saveliy_v [14]
3 years ago
6

Lorinda has 101010 books on her bookshelf. \blue{\text{$6$}}6start color #6495ed, start text, 6, end text, end color #6495ed of

these books have \blue{\text{blue covers}}blue coversstart color #6495ed, start text, b, l, u, e, space, c, o, v, e, r, s, end text, end color #6495ed, and \red{\text{$4$}}4start color #df0030, start text, 4, end text, end color #df0030 have \red{\text{red covers}}red coversstart color #df0030, start text, r, e, d, space, c, o, v, e, r, s, end text, end color #df0030.
\blue{\text{$3$}}3start color #6495ed, start text, 3, end text, end color #6495ed of the blue books are \blue{\text{mystery novels}}mystery novelsstart color #6495ed, start text, m, y, s, t, e, r, y, space, n, o, v, e, l, s, end text, end color #6495ed, and \blue{\text{$3$}}3start color #6495ed, start text, 3, end text, end color #6495ed are \blue{\text{fantasy novels}}fantasy novelsstart color #6495ed, start text, f, a, n, t, a, s, y, space, n, o, v, e, l, s, end text, end color #6495ed.
\red{\text{$2$}}2start color #df0030, start text, 2, end text, end color #df0030 of the red books are \red{\text{mystery novels}}mystery novelsstart color #df0030, start text, m, y, s, t, e, r, y, space, n, o, v, e, l, s, end text, end color #df0030, and \red{\text{$2$}}2start color #df0030, start text, 2, end text, end color #df0030 are \red{\text{fantasy novels}}fantasy novelsstart color #df0030, start text, f, a, n, t, a, s, y, space, n, o, v, e, l, s, end text, end color #df0030.
Lorinda closes her eyes and randomly selects a book from her bookshelf. Let AAA be the event that she selects a blue book and BBB be the event that the book is a fantasy novel.
Which of the following statements are true?
Mathematics
1 answer:
Ket [755]3 years ago
3 0
Wow I don’t understand
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The scores on a tester normally distributed with a mean of 70 and a standard deviation of 14 what is the score of that is two st
anzhelika [568]

Step-by-step explanation:

70 + 2(14) = 98

8 0
4 years ago
A cyclist estimates that he will bike 80 miles this week. He actually bikes 75.5 miles. What is the percent error of the cyclist
vazorg [7]

Answer:

6%

Step-by-step explanation:

Estimated distance = 80 miles

Actual distance covered = 75.5 miles

We need to find the percent error of the cyclist's estimate. Its formula is given by :

\%=\dfrac{|\text{actual value-estimated value}|}{\text{actual value}}\times 100

Put all the values,

\%=\dfrac{80-75.5}{75.5}\times 100\\\\=5.96\%

or

= 6%

So, the percentage error is 6%.

4 0
3 years ago
Read 2 more answers
A factory is to be built on a lot measuring 210 ft by 280 ft. A local building code specifies that a lawn of uniform width and e
Tresset [83]

Answer:

Width of lawn = 35 ft

Dimensions of factory = length: 210 ft, width: 140 ft

Step-by-step explanation:

The total area of the lot can be calculated as:

A_{lot} = 210 * 280\\A_{lot} = 58800 ft^{2}

Since, the area of factory should be equal to area of lawn:

A_{lot} = A_{factory} + A_{lawn}\\58800 = 2 A_{factory or lawn}\\\\A_{factory or lawn} = \frac{58800}{2}\\A_{factory or lawn} = 29400 ft^{2}

Now, let 'x' be the width of lawn, the dimensions of factory can be written as:

(210-2x)\\(280-2x)\\

Since, area is equal to length x width:

(210-2x)*(280-2x) = 29400\\Simplifying:\\210*280 - 210*2x - 2x*280 + 4x^{2} = 29400\\58800 - 420x - 560x +4x^{2} = 29400\\4x^{2}  - 980x +58800 = 29400\\4x^{2} - 980x + 29400 = 0\\

Divide whole equation by 4,

x^{2} - 245 + 7350 = 0\\

Solving above quadratic equation, we get,

x = 210\\x = 35\\

x = 35 seems realistic width of the lawn.

Now, finding the dimension of factory:

(210-2x) = 210 - 2(35) = 140 ft\\(280-2x) = 280 - 2(35) = 210ft

We can also reconfirm the area of factory by multiplying the above two lengths:

140 * 210 = 29400 ft

8 0
3 years ago
a)out of 300 students In a class 60% of the students took physics and 35 students took chemistry and 20% of the students did not
Kipish [7]

Answer:

25 students take both subjects.

Step-by-step explanation:

Solve for 60% of 300 students:

60/100 = x/300

Cross multiply:

60 × 300 = 100 × x

18000 = 100x

Divide both sides by 100:

180 = x

Solve for 20% of 300 students:

20/100 = x/300

20 × 300 = 100 × x

6000 = 100x

60 = x

Solve for the percentage of students in chemistry:

x/100 = 35/300

x × 300 = 100 × 35

300x = 3500

x = 11.66666...7

x = about 11.7%

Find the difference in percentages:

100 - 60 - 20 - 11.7

8.3

8.3% take both subjects

Solve for 8.3% of students:

8.3/100 = x/300

8.3 × 300 = 100 × x

2490 = 100x

24.9

About 25 students

Check your work by adding all the students together (to get to 300):

25 + 60 + 180 + 35

300 students total

This is correct!

7 0
3 years ago
Define polynomial with some examples.
Veseljchak [2.6K]

Answer:

A Polynomial can be expressed in terms that only have positive integer exponents and the operations of addition, subtraction, and multiplication. In other words, it must be possible to write the expression without division.

Step-by-step explanation:

<em>EXAMPLES :</em>

  • <em> x2 + 2x +5 Since all of the variables have integer exponents that are positive this is a polynomial.</em>
  • <em>5x +1 Since all of the variables have integer exponents that are positive this is a polynomial.</em>
  • <em>(x7 + 2x4 - 5) * 3x Since all of the variables have integer exponents that are positive this is a polynomial.</em>
  • <em>5x-2 +1 Not a polynomial because a term has a negative exponent</em>
  • <em>3x½ +2 Not a polynomial because a term has a fraction exponent</em>
  • <em>(5x +1) ÷ (3x) Not a polynomial because of the division</em>
  • <em>(6x2 +3x) ÷ (3x) Is actually a polynomial because it's possible to simplify this to 3x + 1 --which of course satisfies the requirements of a polynomial. (Remember the definition states that the expression 'can' be expressed using addition,subtraction, multiplication. So, if it's possible to simplify an expression into a form that uses only those operations and whose exponents are all positive integers...then you do indeed have a polynomial equation) </em>
<h3><em>[Polynomial Equation- is simply a polynomial that has been set equal to]</em></h3>
6 0
3 years ago
Read 2 more answers
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