Calcule o va,lor: a)3-² b)3-³ c)3-⁴

Hi, can you please help me answer this direct proportion question?

Oksanka [162]

Answer:

X = 100

Step-by-step explanation:

In proportion questions, they want you to multiply one of the sides by a variable, (i usually represent it with K) and then change the proportion sign to an equal.
This is because proportional means they have a ratio between them, with one side increasing by "k" for each increase in the other side.

Multiply the left by k, so $y = \frac{k}{\sqrt{x} }$
we know that y= 5, for x = 36, so sub this in the equation
$5 = \frac{k}{\sqrt{36} }$
simplify $5 = \frac{k}{6 }$
re-arrange for k, k = 5*6 = 30
now we know k, we can create the real equation, $y = \frac{30}{\sqrt{x} }$
sub in 3 as y
$3 = \frac{30}{\sqrt{x} }$
x = 100

4 0

2 years ago

A coffee shop serves three times as many cups of regular coffee as decaffeinated coffee. If the shop serves d cups of decaffeina

galben [10]

Answer:

Number of cups of regular coffee the shop sells = 3d

Step-by-step explanation:

Let

d = cups of decaffeinated coffee

Three times as many cups of regular coffee as decaffeinated coffee.

Number of cups of regular coffee the shop sells = 3d

8 0

2 years ago

I don't understand this

Taya2010 [7]

The answer to the problem is B.

7 0

3 years ago

Read 2 more answers

In AMNO, the measure of Z0=90°, the measure of ZM=13°, and OM = 9.6 feet. Find

algol [13]

Answer:

Hypotenuse MN = 10.54 ft (Approx.)

Step-by-step explanation:

Given:

Base OM = 9.6 ft

Angle θ = 13'

Find:

Hypotenuse MN

Computation:

Using trigonometry function

Cos θ = Base / Hypotenuse

Cos 13 = 9.6 / Hypotenuse

0.97 = 9.6 / Hypotenuse

Hypotenuse MN = 10.54 ft (Approx.)

3 0

3 years ago

Find the probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any one

ziro4ka [17]

The probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any one trial is 9% will be 0.000343311 %

<h3>What is the probability?</h3>

Probability is synonymous with possibility. It is concerned with the occurrence of a random event.

Probability can only have a value between 0 and 1. Its simple notion is that something is very likely to occur. It is the proportion of favorable events to the total number of events.

No of failure,n = 7

No of trials,x≥6

A binomial probability is represented as;

$\rm P(x) = nC_x p^z(1-p)^{n-r}$

Substitute the given data;

$P(x \geq 6) = 7C_6 \times 9^6 \times 91-9)^{7-6} +7C_7 (9)^7+(1-9)^{(7-7)}$

$\rm P(x \geq 6) = 0.000000343311 \\\\ P(x \geq6)=0.000343311 \%$

Hence,the probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any one trial is 9% will be 0.000343311 %

To learn more about probability, refer to the link: brainly.com/question/795909.

#SPJ1

4 0

2 years ago

Calcule o va,lor:a)3-²b)3-³c)3-⁴​​​​

Calcule o va,lor:a)3-²b)3-³c)3-⁴