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3 years ago

On a test with 30 questions, Bill answered 80% correctly. How many answers did he get wrong?

Mathematics

1 answer:

AveGali [126]3 years ago

5 0

Answer:

30 X .8=24 30-24=6 bill got 6 questions wrong

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An excursion group of four is to be drawn from among 5 boys and 6 girls.

tresset_1 [31]

Answer:

Because you are recounting people several times. Say for example, let us number those people

{1,2,3,4} for the four girls and {1,2…7} for the boys.

One possible combination by your way is to fix one boy and girl each, say

{1,1} and then choose the remaining people. Let this combination be, for the sake of the example, {1,1,2,2,3}. This is a valid combination.

Now, when you fix another combination of a boy and a girl, say {1,2}, you could get the same combination as before because one the combinations while choosing the three remaining people would be {1,2,3}.

A correct way would be to choose girls and then choose 5− boys for 1≤≤4

So we get ∑4=1(4)(75−)=441

5 0

3 years ago

Read 2 more answers

Given: F(x) = 2x + 3, find F(X+h)-f(x) and simplify.<br> 01<br> 02<br> (2h+6)/h

antiseptic1488 [7]

F(x+h) = 2(x+h) +3= 2x + 2h +3
f(x) = 2x + 5

f(x+h) - f(x) = 2x + 2h + 3- 2x - 3= 2h

[f(x+h) - f(x)]/h = 2h/h = 2

6 0

3 years ago

Determine which of the lines are parallel and which of the lines are perpendicular. Select all of the statements that are true.

grandymaker [24]

Answer:

Lines a and b are parallel

Lines a and c are perpendicular

Lines d and c are perpendicular

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

Part 1) Find the slope of Line a

we have the points

(-3,4) and (3,6)

substitute in the formula

$m=\frac{6-4}{3+3}$

$m=\frac{2}{6}$

simplify

$m_a=\frac{1}{3}$

Part 2) Find the slope of Line b

we have the points

(-10,-3) and (-8,3)

substitute in the formula

$m=\frac{3+3}{-8+10}$

$m=\frac{6}{2}$

$m_b=3$

Part 3) Find the slope of Line c

we have the points

(0,5) and (3,-4)

substitute in the formula

$m=\frac{-4-5}{3-0}$

$m=\frac{-9}{3}$

$m_c=-3$

Part 4) Find the slope of Line d

we have the points

(4,-7) and (13,-4)

substitute in the formula

$m=\frac{-4+7}{13-4}$

$m=\frac{3}{9}$

simplify

$m_d=\frac{1}{3}$

Part 5) Compare the slopes

Remember that

If two lines are parallel then their slopes are the same

If two lines are perpendicular then their slopes are opposite reciprocal

we have

$m_a=\frac{1}{3}$

$m_b=3$

$m_c=-3$

$m_d=\frac{1}{3}$

therefore

Lines a and b are parallel (slopes are equal)

Lines a and c are perpendicular (slopes are opposite reciprocal)

Lines d and c are perpendicular (slopes are opposite reciprocal)

6 0

3 years ago

The wholesale price for a desk is $147 . A certain furniture store marks up the wholesale price by $30 . Find the price of the d

oee [108]

Answer:

$191.10

Step-by-step explanation:

N/A

8 0

3 years ago

A square has vertices at a (2,3), b (3,-1), c (-1,-2) and d (-2,2) 1. draw the square 2. the diagonals are AC and BD. show that

Darya [45]

Since it is a square, the diagonals are exactly the same = same midpoint. hope this helps

6 0

2 years ago