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3 years ago

Y is inversely proportional to x. Given that y = 12 and x = 6. Find the value of y when x = 8.

Mathematics

2 answers:

vazorg [7]3 years ago

8 0

Answer:

Step-by-step explanation:

formula for inverse proportion is y = $\frac{k}{x}$

k is the constant of probability

to find k,

y is 12, x is 6

12 = $\frac{k}{6}$

so x = 12 × 6

∴ k is 72

so y = $\frac{72}{8}$

∴ y is 9

KIM [24]3 years ago

7 0

Y = 16____________gg

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goblinko [34]

Answer:

15.75+2+4+5= 26.75 units squared

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3 years ago

250$ is invested at a bank that pays7% interest.Calculate the amount of money in the account after 1 year, 3 years, 7 years, 20

Vesna [10]

One year = $267.50

Three Years = $302.50

Seven Years = $372.50

Twenty Years = $600.00

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3 years ago

PLEASE HELP 35 POINTS Find the value of x in the triangle shown below.

BartSMP [9]

Answer:

B sqrt(17)

Step-by-step explanation:

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7 0

3 years ago

A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 50% of this population prefers t

Thepotemich [5.8K]

Answer:

The probability that exactly 12 buyers would prefer green

=0.00555

Step-by-step explanation:

We are given that

p=50%=50/100=0.50

n=14

We have to find the probability that exactly 12 buyers would prefer green.

q=1-p

q=1-0.50=0.50

Using binomial distribution formula

$P(X=x)=nC_r p^r q^{n-r}$

$P(x=12)=14C_{12}(0.50)^{12}(0.50)^{14-12}$

$P(x=12)=14C_{12}(0.50)^{12}(0.50)^2$

$P(x=12)=14C_{12}(0.50)^{14}$

$P(x=12)=\frac{14!}{12!2!}(0.50)^{14}$

$P(x=12)=\frac{14\times 13\times 12!}{12!2\times 1}(0.50)^{14}$

$P(x=12)=91\cdot (0.50)^{14}$

$P(x=12)=0.00555$

Hence, the probability that exactly 12 buyers would prefer green

=0.00555

3 0

3 years ago

Flaming BBQ Restaurant makes a dipping sauce with 9\text{ mL}9 mL9, space, m, L of hot sauce for every 666 ounces of barbecue sa

ahrayia [7]

Answer:

3 mL of hot sauce mixed with 2 ounces of barbecue sauce

45 mL of hot sauce mixed with 30 ounces of barbecue sauce

12 mL of hot sauce mixed with 8 ounces of barbecue sauce

Step-by-step explanation:

we know that

A restaurant makes a dipping sauce with

$\frac{9}{6}\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}$

Simplify

$1.5\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}$

Verify each case

case A) we have

6 mL of hot sauce mixed with 10 ounces of barbecue sauce

$\frac{6}{10}\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}$

simplify

$0.6\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}$

Compare

$0.6 \neq 1.5$

therefore

This mixture is not the same that as Flaming BBQ's dipping sauce

case B) we have

3 mL of hot sauce mixed with 2 ounces of barbecue sauce

$\frac{3}{2}\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}$

simplify

$1.5\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}$

Compare

$1.5 =1.5$

therefore

This mixture is the same that as Flaming BBQ's dipping sauce

case C) we have

45 mL of hot sauce mixed with 30 ounces of barbecue sauce

$\frac{45}{30}\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}$

simplify

$1.5\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}$

Compare

$1.5=1.5$

therefore

This mixture is the same that as Flaming BBQ's dipping sauce

case D) we have

24 mL of hot sauce mixed with 18 ounces of barbecue sauce

$\frac{24}{18}\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}$

simplify

$1.33\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}$

Compare

$1.33 \neq 1.5$

therefore

This mixture is not the same that as Flaming BBQ's dipping sauce

case E) we have

12 mL of hot sauce mixed with 8 ounces of barbecue sauce

$\frac{12}{8}\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}$

simplify

$1.5\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}$

Compare

$1.5=1.5$

therefore

This mixture is the same that as Flaming BBQ's dipping sauce

6 0

3 years ago