7/5 mile / 2/3 hour worked out please

Mathematics

2 answers:

DiKsa [7]3 years ago

8 0

Answer:

21/10 = 2.1 mile/hour

Step-by-step explanation:

(a/b) ÷ (c/d) = (a*d) ÷ (b*c)

then:

(7/5) ÷ (2/3) = (7*3) ÷ (5*2) = 21/10 mile/hour

Elenna [48]3 years ago

3 0

Steps to solve:

7/5 ÷ 2/3

~Dot

7/5 * 2/3

~Flip

7/5 * 3/2

~Multiply

21/10

Best of Luck!

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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

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

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

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

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