1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Natali [406]
3 years ago
7

Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation. If y

varies inversely as the square of x, and y=1/8 when x=1 find y when x=5
Mathematics
1 answer:
dsp733 years ago
5 0
Y=k/x²; substitute x=1 and y=1/8: 1/8=k. So y=1/(8x²)
When x=5, y=1/(8×25)=1/200.
You might be interested in
Select all ratios equivalent to 5:2<br><br> A) 25:10<br> B) 10:4<br> C) 4:1
Scrat [10]

Answer:

A and B

Step-by-step explanation

6 0
3 years ago
Read 2 more answers
The concentration of particles in a suspension is 50 per mL. A 5 mL volume of the suspension is withdrawn. a. What is the probab
kolezko [41]

Answer:

(a) 0.6579

(b) 0.2961

(c) 0.3108

(d) 240

Step-by-step explanation:

The random variable <em>X</em> can be defined as the number of particles in a suspension.

The concentration of particles in a suspension is 50 per ml.

Then in 5 mL volume of the suspension the number of particles will be,

5 × 50 = 250.

The random variable <em>X</em> thus follows a Poisson distribution with parameter, <em>λ</em> = 250.

The Poisson distribution with parameter λ, can be approximated by the Normal distribution, when λ is large say λ > 10.  

The mean of the approximated distribution of X is:

μ = λ  = 250

The standard deviation of the approximated distribution of X is:

σ = √λ  = √250 = 15.8114

Thus, X\sim N(250, 250)

(a)

Compute the probability that the number of particles withdrawn will be between 235 and 265 as follows:

P(235

                             =P(-0.95

Thus, the value of P (235 < <em>X</em> < 265) = 0.6579.

(b)

Compute the probability that the average number of particles per mL in the withdrawn sample is between 48 and 52 as follows:

P(48

                             =P(-0.28

Thus, the value of P(48.

(c)

A 10 mL sample is withdrawn.

Compute the probability that the average number of particles per mL in the withdrawn sample is between 48 and 52 as follows:

P(48

                             =P(-0.40

Thus, the value of P(48.

(d)

Let the sample size be <em>n</em>.

P(48

                             0.95=P(-z

The value of <em>z</em> for this probability is,

<em>z</em> = 1.96

Compute the value of <em>n</em> as follows:

z=\frac{\bar X-\mu}{\sigma/\sqrt{n}}\\\\1.96=\frac{48-50}{15.8114/\sqrt{n}}\\\\n=[\frac{1.96\times 15.8114}{48-50}]^{2}\\\\n=240.1004\\\\n\approx 241

Thus, the sample selected must be of size 240.

5 0
3 years ago
Solve the following inequality for x.
Alexus [3.1K]

Answer:

X < -1

Step-by-step explanation:

4x - 5 + X < -10

5x < -5

× < -1

8 0
3 years ago
Read 2 more answers
The graph of y = |x − 3| + 2 is reflected across the y-axis. What is an equation of the reflected graph?
pychu [463]

Answer: A. y = |−x + 3| − 2

Step-by-step explanation:

8 0
3 years ago
DIRECT VARIATION
aivan3 [116]
Y\alphax
y=kx
36=6k
k=6
42=6x
x=\frac{42}{6}
x=7
8 0
3 years ago
Other questions:
  • A bowling alley charges 2.00 per game and will rent a pair of shoes for 1.00 for any number of games. The bowling alley has an e
    13·1 answer
  • Juanita is making necklaces to give as presents. She plans to put 15 beads on each necklace. Beadsare sold in packages of 20. Wh
    14·2 answers
  • negative binomial rv is the number of failures that occur before the rth success in a sequence of independent and identical succ
    7·1 answer
  • 245% as a fraction in simplest form
    14·2 answers
  • If the vertices of an ellipse are at (1, 5) and (1, -5) and (3, 0) is a point on the ellipse, what is the ellipse equation?
    15·2 answers
  • PLEASE HELP ME!
    11·2 answers
  • A lacrosse league has 20 teams in it's first year. The number of teams in the league increases by 20.% in it's 2nd year. In the
    8·1 answer
  • Help! Brainliest Given &lt;3
    15·1 answer
  • 5 law of sines question with the answers .<br><br> 5 law of cosines question with the answer .
    14·1 answer
  • Which parent function is represented by the table?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!