Write two equivalent ratios for 4:7

Mathematics

2 answers:

Verdich [7]3 years ago

5 0

the answers for the number 4 are

8,12

and the answers for 7 are

14,21

saul85 [17]3 years ago

5 0

8:14 and 12:21 because you just have to multiply each number in the ratio by the same number and if your not sure you have the right answers then just divide both numbers

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A particular chemistry book costs $6 less than a particular physics book, while two such chemistry books and three such physics

sladkih [1.3K]

Answer:

Step-by-step explanation:

Let's say the Physics book costs $x

The Chemistry book will cost $x - $6

Two such Chemistry books will cost;

2($x - $6) = $(2x - 12)

Three such Physics books cost $3x

$(2x - 12) + $3x = $123

$5x - $12 = $123

$5x = $111

x = $22 $\frac{1}{5}$

So the Physics book costs; $22 $\frac{1}{5}$

and the Chemistry book costs $22 $\frac{1}{5}$ - 6 = $16 $\frac{1}{5}$

3 0

3 years ago

The probability of drawing a heart from a standard deck of cards is 0.25. You record the car do you draw and return the car befo

Licemer1 [7]

Answer: C) 0.112

Step-by-step explanation:

In binomial distribution with parameters n (Total trails) and p (probability of getting success sin each trial) , the probability of getting success in x trials is given by :-

$P(X=x)=^nC_xp^x(1-p)^{n-x}$

Given : The probability of drawing a heart from a standard deck of cards is 0.25

Here , getting heart is the success.

Then p= 0.25

For n= 20

The probability that you will draw a heart seven times i.e. x= 7:

$P(X=7)=^{20}C_7(0.25)^7(1-0.25)^{20-7}$

$P(X=7)=\dfrac{20!}{7!(20-7)!}(0.25)^7(1-0.25)^{20-7}\ \ [\because\ ^nC_r=\dfrac{n!}{r!(n-r)!}]$

$=\dfrac{20\times19\times18\times17\times16\times15\times14\times13!}{7!13!}(0.25)^7(0.75)^{13}\\\\=77520(0.00006103515625)(0.0237572640181)\\\\=0.112406195476\approx0.112$