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Greeley [361]
2 years ago
7

there are 250 people in a museum. 2/5 of the 250 people are girls. 3/10 of the 250 people are boys. the rest of the 250 people a

re adults. work out the number of adults in the museum
Mathematics
2 answers:
Akimi4 [234]2 years ago
7 0
His is:-

250 - 2/5 *250 - 3/10 * 250

= 250 - 100 - 75

= 250 - 175

= 75 answer
MA_775_DIABLO [31]2 years ago
3 0
He is 75, simple math shows...
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Problem 5 (4+4+4=12) We roll two fair 6-sided dice. Each one of the 36 possible outcomes is assumed to be equally likely. 1) Fin
tekilochka [14]

Answer:

1

p(b) =  \frac{1}{6}

2

p(k) =  \frac{1}{3}

3

P(a) =  \frac{1}{3}

Step-by-step explanation:

Generally when two fair 6-sided dice is rolled the doubles are

(1 1) , ( 2 2) , (3 3) , (4 4) , ( 5 5 ), (6 6)

The total outcome of doubles is N = 6

The total outcome of the rolling the two fair 6-sided dice is

n = 36

Generally the probability that doubles (i.e., having an equal number on the two dice) were rolled is mathematically evaluated as

p(b) =  \frac{N}{n}

p(b) =  \frac{6}{36}

p(b) =  \frac{1}{6}

Generally when two fair 6-sided dice is rolled the outcome whose sum is 4 or less is

(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (3, 1)

Looking at this outcome we see that there are two doubles present

So

The conditional probability that doubles were rolled is mathematically represented as

p(k) =  \frac{2}{6}

p(k) =  \frac{1}{3}

Generally when two fair 6-sided dice is rolled the number of outcomes that would land on different numbers is L = 30

And the number of outcomes that at least one die is a 1 is W = 10

So

The conditional probability that at least one die is a 1 is mathematically represented as

P(a) =  \frac{W}{L}

=> P(a) =  \frac{10}{30}

=> P(a) =  \frac{1}{3}

3 0
2 years ago
Consider the diagram and proof below.
QveST [7]
<span>Given the following statements and Reasons

1. WXYZ is a ▱; ZX ≅ WY 1. given
2. ZY ≅ WX 2. opp. sides of ▱ are ≅
3. YX ≅ YX 3. reflexive
4. △ZYX ≅ △WXY 4. SSS ≅ thm.
5. ∠ZYX ≅ ∠WXY 5. CPCTC
6. m∠ZYX ≅ m∠WXY 6. def. of ≅
7. m∠ZYX + m∠WXY = 180° 7. ?
8. m∠ZYX + m∠ZYX = 180° 8. substitution
9. 2(m∠ZYX) = 180° 9. simplification
10. m∠ZYX = 90° 10. div. prop. of equality
11. WXYZ is a rectangle 11. rectangle ∠ thm.

The missing reason in step 7 is "</span><span>consecutive ∠s in a ▱ are supplementary"</span>
8 0
2 years ago
Read 2 more answers
What is the MAD of the data set? <br><br> {13, 6, 3, 7, 11}<br><br> Enter your answer in the box.
frosja888 [35]
13 + 6 + 3 + 7 + 11 = 40
;
40 ÷ 5 = 8
;
13 - 8 = 5
6 - 8 = |-2| = 2
3 - 8 = |-5| = 5
7 - 8 = |-1| = 1
11 - 8 = 3
;
5, 2, 5, 1, 3
5 + 2 + 5 + 1 + 3 = 16
16 ÷ 5 = 3.2 
;
Mean Absolute Deviation is 3.2.

Hope this helped☺☺
3 0
2 years ago
A rectangle has an area of 256 cm 2 . it has a width that is 48 cm shorter than 4 times its length. what is the rectangle's leng
AveGali [126]
Let
x--------> <span>the rectangle's length
y-------> </span><span>the rectangle's width

we now that
Area of rectangle=x*y
Area=256 cm</span>²
<span>256=x*y-------> equation 1

y=4x-48------> y=4x-48------> equation 2

substitute equation 2 in equation 1

256=x*[4x-48]-----> 256=4x</span>²-48x
4x²-48x-256=0
<span>
using  a graph tool----> to resolve the second order equation
see the attached figure
the solution is
x=16 cm
y=4x-48----> y=4*16-48-----> y=16 cm

is a square

the answer is
</span>the rectangle's length is 16 cm

8 0
2 years ago
What is the slope-intercept equation for the line below? (0,1) (4,3)
const2013 [10]

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept → (0, b)

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (4, 3) and (0, 1) → b = 1.

Calculate the slope:

m=\dfrac{1-3}{0-4}=\dfrac{-2}{-4}=\dfrac{1}{2}

Answer: \boxed{D.\ y=\dfrac{1}{2}x+1}

3 0
2 years ago
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