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3 years ago

C=r(5-d)/y We need to solve for d.

Mathematics

2 answers:

GrogVix [38]3 years ago

5 0

Answer:

5-Cy/r = d

Step-by-step explanation:

C=r(5-d)/y

Multiply each side by y

Cy=r(5-d)/y *y

Cy=r(5-d)

Divide each side by r

Cy/r=r(5-d)/r

Cy/r=(5-d)

Subtract 5 from each side

Cy/r - 5 = 5-d-5

Cy/r - 5 = -d

Multiply by -1

-Cy/r + 5 = d

5-Cy/r = d

Veronika [31]3 years ago

4 0

$\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}$

$C=\dfrac{r(5-d)}{y}\\\\cy=r(5-d)\\\\5-d=\dfrac{cy}{r}\\\\-d=\dfrac{cy}{r-5}\\\\d=-\dfrac{cy}{r}+5\\\\d=5-\dfrac{cy}{r}$

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A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and tes

DerKrebs [107]

Answer:

a) The probability that this whole shipment will be accepted is 30%.

b) Many of the shipments with this rate of defective aspirin tablets will be rejected.

Step-by-step explanation:

We have a shipment of 3000 aspirin tablets, with a 5% rate of defects.

We select a sample of size 48 and test for defectives.

If more than one aspirin is defective, the batch is rejected.

The amount of defective aspirin tablets X can be modeled as a binomial distribution random variable, with p=0.55 and n=48

We have to calculate the probabilities that X is equal or less than 1: P(X≤1).

$P(X\leq1)=P(X=0)+P(X=1)\\\\\\P(0)=\binom{48}{0}(0.05)^0(0.95)^{48}=1*1*0.0853=0.0853\\\\\\P(1)=\binom{48}{1}(0.05)^1(0.95)^{47}=48*0.05*0.0897=0.2154\\\\\\P(X\eq1)=0.0853+0.2154=0.3007$

8 0

3 years ago

The scale on a map is 1 cm : 6 km. If two cities are 13 cm apart on the map, what is the actual distance between the cities?

AnnZ [28]

Answer:

78 km!

Step-by-step explanation:

13 cm * 6 km per cm = 78 km in actual distance

4 0

2 years ago

PLEASE HELP ME<br> Use the function below to find f(2).<br><br> f(x) = 1/3 x 4^x

Anna71 [15]

f(2) This means that x is 2, so you plug in 2 for x in the equation

$f(x)=\frac{1}{3} (4^x)$

$f(2)=\frac{1}{3}(4^2)$

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Your answer is D

4 0

4 years ago

Read 2 more answers

A basketball player stands near the middle of the court and throws the ball toward the basket.

kompoz [17]

Answer:

A function to represent the height of the ball in terms of its distance from the player's hands is $y=\frac{-1}{54}(x-18)^2+12$

Step-by-step explanation:

General equation of parabola in vertex form $y= a(x-h)^2+k$

y represents the height

x represents horizontal distance

(h,k) is the coordinates of vertex of parabola

We are given that The ball travels to a maximum height of 12 feet when it is a horizontal distance of 18 feet from the player's hands.

So,(h,k)=(18,12)

Substitute the value in equation

$y=a(x-18)^2+12$ ---1

The ball leaves the player's hands at a height of 6 feet above the ground and the distance at this time is 0

So, y = 6

So, $6=a(0-18)^2+12$

6=324a+12

-6=324a

$\frac{-6}{324}=a$

$\frac{-1}{54}=a$

Substitute the value in 1

So, $y=\frac{-1}{54}(x-18)^2+12$

Hence a function to represent the height of the ball in terms of its distance from the player's hands is $y=\frac{-1}{54}(x-18)^2+12$

8 0

4 years ago

Help please. I need this answer and you don’t have to explain it

wariber [46]

Answer:

y=-5x+22

Step-by-step explanation:

4 0

3 years ago