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mr_godi [17]
3 years ago
8

A map uses a scale of 0.5 cm = 75 km 50 km=__cm 280 km =__cm 142.5 km=__cm

Mathematics
1 answer:
SpyIntel [72]3 years ago
5 0

Answer:

50km = 0.33cm

280km = 1.87cm

142.5km = 0.95cm

Step-by-step explanation:

Ratio is 0.5/75 = 1/150 cm per km

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Suppose that each child born is equally likely to be a boy or a girl. Consider a family with exactly three children. Let BBG ind
Gemiola [76]

Answer:

(a)

S = \{GGG, GGB, GBG, GBB, BBG, BGB, BGG, BBB\}

(b)

i.

1\ girl = \{GBB, BBG, BGB\}

P(1\ girl) = 0.375

ii.

Atleast\ 2 \ girls = \{GGG, GGB, GBG, BGG\}

P(Atleast\ 2 \ girls) = 0.5

iii.

No\ girl = \{BBB\}

P(No\ girl) = 0.125

Step-by-step explanation:

Given

Children = 3

B = Boys

G = Girls

Solving (a): List all possible elements using set-roster notation.

The possible elements are:

S = \{GGG, GGB, GBG, GBB, BBG, BGB, BGG, BBB\}

And the number of elements are:

n(S) = 8

Solving (bi) Exactly 1 girl

From the list of possible elements, we have:

1\ girl = \{GBB, BBG, BGB\}

And the number of the list is;

n(1\ girl) = 3

The probability is calculated as;

P(1\ girl) = \frac{n(1\ girl)}{n(S)}

P(1\ girl) = \frac{3}{8}

P(1\ girl) = 0.375

Solving (bi) At least 2 are girls

From the list of possible elements, we have:

Atleast\ 2 \ girls = \{GGG, GGB, GBG, BGG\}

And the number of the list is;

n(Atleast\ 2 \ girls) = 4

The probability is calculated as;

P(Atleast\ 2 \ girls) = \frac{n(Atleast\ 2 \ girls)}{n(S)}

P(Atleast\ 2 \ girls) = \frac{4}{8}

P(Atleast\ 2 \ girls) = 0.5

Solving (biii) No girl

From the list of possible elements, we have:

No\ girl = \{BBB\}

And the number of the list is;

n(No\ girl) = 1

The probability is calculated as;

P(No\ girl) = \frac{n(No\ girl)}{n(S)}

P(No\ girl) = \frac{1}{8}

P(No\ girl) = 0.125

7 0
3 years ago
A<br> (Triangle)ABC is isosceles.<br> AB= 88 and CB = 12x + 4.<br> B<br> x= [?]
CaHeK987 [17]

Answer:

X=7 because 88=12x+4. Simple math gives you x=7

5 0
2 years ago
What is the value of the numerical expression 5/8 - 5/12 (3 -1/4) + 2/3 ?
nasty-shy [4]
\dfrac{5}{8} -  \dfrac{5}{12} ( 3 -  \dfrac{1}{4} )+  \dfrac{2}{3}

= \dfrac{5}{8} -  \dfrac{5}{12} (2\dfrac{3}{4} )+  \dfrac{2}{3}

= \dfrac{5}{8} -  \dfrac{5}{12} (\dfrac{11}{4} )+  \dfrac{2}{3}

= \dfrac{5}{8} -  \dfrac{55}{48}+  \dfrac{2}{3}

= \dfrac{30}{48} -  \dfrac{55}{48}+  \dfrac{32}{48}

= \dfrac{7}{48}

6 0
3 years ago
ᗯᕼᗩT TᗯO ᗪEᑕIᗰᗩᒪ TᕼᗩT Iᔕ EᑫᑌIᐯᗩᒪEᑎT ᖇI 5.300
kow [346]
5.3 or 5.30 it doesn't matter how many 0's you add
5 0
3 years ago
Read 2 more answers
Answer and solution in 2xy-5yz-4x+10z
xxTIMURxx [149]

Answer:

2xy+10z-5yz-4x

Step-by-step explanation:

Just put the positives and negatives together. You can't add or subtract any of them because they aren't like terms.

5 0
3 years ago
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