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IrinaK [193]
3 years ago
5

Beatrix ate 21 raisins. This represents 30% of the box of raisins. How many raisins were originally in the box?

Mathematics
1 answer:
leonid [27]3 years ago
8 0
21/0.3= 70
there were 70 raisins in the box
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Fwam surveyed 540 of the students in his school about their favorite color. students could choose between red and blue. 55% said
Digiron [165]

Answer:

243 students' favorite color is red

Step-by-step explanation:

if 55% of the students said their favorite color was blue, then 45% chose that red was their favorite color

we can get 45% of 540 using a cross-multiplication equation

45% is 45/100

45/100 is to ?/540

the (?) represents the value of students who chose red as their favorite color (we do not know this but we can figure it out using cross-multiplication)

45 times 540 is 24300

24300/100 = 243.

Give brainliest, please!

hope this helps :)

4 0
2 years ago
PLEASE HELP! The table shows the number of championships won by the baseball and softball leagues of three youth baseball divisi
Irina18 [472]

Answer:

Question 1: P ( B | Y ) = \frac{ P ( B and Y)}{ P (Y)} = \frac{ \frac{2}{16}}{ \frac{4}{16}} = \frac{1}{2}

Question 2:

A. P ( Y | B ) = \frac{ P(Y and B) }{ P(B) } = \frac{ \frac{2}{16} }{ \frac{6}{16} } = \frac{1}{3}

B. P( Z | B ) = \frac{ P ( Z and B)}{ P (B)}= \frac{ \frac{1}{16} }{ \frac{6}{16} } = \frac{1}{6}

C. P((Y or Z)|B) = \frac{ P ((Y or Z) and B)}{P(B)}= \frac{ \frac{3}{16}}{ \frac{6}{16}}= \frac{1}{2}

Step-by-step explanation:

Conditional probability is defined by

P(A|B)= \frac{P(A and B)}{P(B)}

with P(A and B) beeing the probability of both events occurring simultaneously.

Question 1:

B: Baseball League Championships won, beeing

P ( B ) = \frac{ 6 }{16}

Y: Championships won by the 10 - 12 years old, beeing

P ( Y)= \frac{ 4 }{ 16 }

then

P( B and Y)= \frac{ 2 }{ 16 }[/tex]

By definition,

P ( B | Y ) = \frac{ P ( B and Y)}{ P (Y)} = \frac{ \frac{2}{16} }{ \frac{4}{16} }  = \frac{1}{2}

Question 2.A:

Y: Championships won by the 10 - 12 years old, beeing

P ( Y)= \frac{ 4 }{ 16 }

B: Baseball League Championships won, beeing

P ( B ) = \frac{ 6 }{16}

then

P( B and Y)= \frac{ 2 }{ 16 }[/tex]

By definition,

P ( Y | B ) = \frac{ P(Y and B) }{ P(B) } = \frac{ \frac{2}{16} }{ \frac{6}{16} } = \frac{1}{3}

Question 2.B:

Z: Championships won by the 13 - 15 years old, beeing

P ( Z)= \frac{ 1 }{ 16 }

B: Baseball League Championships won, beeing

P ( B ) = \frac{ 6 }{16}

then

P( Z and B)= \frac{ 1 }{ 16 }[/tex]

By definition,

P( Z | B ) = \frac{ P ( Z and B)}{ P (B)}= \frac{ \frac{1}{16} }{ \frac{6}{16} } = \frac{1}{6}

Question 3.B

Y: Championships won by the 10 - 12 years old, beeing

P ( Y)= \frac{ 4 }{ 16 }

Z: Championships won by the 13 - 15 years old, beeing

P ( Z)= \frac{ 1 }{ 16 }

then

P (Y or Z) = P(Y) + P(Z) = \frac{6}{16}

B: Baseball League Championships won, beeing

P ( B ) = \frac{ 6 }{16}

so

P((YorZ) and B)= \frac{3}{16}

By definition,

P((Y or Z)|B) = \frac{ P ((Y or Z) and B)}{P(B)}= \frac{ \frac{3}{16}}{ \frac{6}{16}}= \frac{1}{2}

3 0
3 years ago
What is 1/8 of 3? When i look it up it says to many different answers.
SSSSS [86.1K]

Answer:

3÷8=0.375

Step-by-step explanation:

1/8 of a number can be found by dividing the number by 8.

4 0
2 years ago
Read 2 more answers
candy bars are sold at a local store for 60 cents each. The factory has $1000 in fixed costs plus 10 cents of additional expense
Westkost [7]

Answer:

2000 bars, or $1200

Explanation:

Let x represent the number of candy bars that are sold.  Since they are sold for $0.60 each, this gives us the expression

0.60x

to represent the profit.

The factor has $0.10 per candy bar additional expense; this gives us the expression

0.10x.

However the factory also has $1000 fixed costs; this gives us

0.10x + 1000

to represent the costs.

The break-even point is the point where these two expressions are equal; this gives us the equation

0.60x = 0.10x + 1000

Subtract 0.10x from each side:

0.60x - 0.10x = 0.10x + 1000 - 0.10x

0.50x = 1000

Divide both sides by 0.50:

0.50x/0.50 = 1000/0.50

x = 2000

The break-even point is 2000 candy bars, which would sell for

0.60(2000) = $1200

3 0
3 years ago
Read 2 more answers
How many times larger is 8 x 106 than 2 x 103?<br> Х
Shkiper50 [21]

Answer: ~4.12 times larger

Step-by-step explanation:

1. find the values for both equation, (8*106=848) and (2*103=206).

2. divide the larger number by the smaller one. 848/206

which gives us 4.11650485, or <u>4.12</u> rounded.

hope this helped! ♡

6 0
2 years ago
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