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
rusak2 [61]
3 years ago
14

lX – 12.2l= 0.3 gives the minimum and maximum acceptable lengths of the wires in centimeters. What is the minimum acceptable len

gth of a wire?​
Mathematics
1 answer:
Marianna [84]3 years ago
4 0
<h3>Answer:  11.9 cm</h3>

Work Shown:

|x-12.2| = 0.3

x-12.2 = -0.3 or x-12.2 = 0.3

x = -0.3+12.2 or x = 0.3+12.2

x = 11.9 or x = 12.5

The min length is 11.9 cm and the max length is 12.5 cm

Subtracting 12.2 from either x value leads to a positive difference of 0.3 which is the margin of error.

You might be interested in
Solution for 8.5+4(1-2.5k)= -25.5
Nonamiya [84]
The solution is k=19/5
4 0
3 years ago
Please help me with this​
Vladimir [108]
I also suggest using an app called photomath. It takes you through the steps of solving the equations and gives you the answer as well.

8 0
3 years ago
Read 2 more answers
OLLEGE
Sophie [7]

<u>Part 1</u>

<u />(f\circ g)(x)=f(\sqrt{x})=4\sqrt{x}+1

We need to make sure the radical is defined, meaning the radicand has to be non-negative. Thus, the domain is \boxed{[0, \infty)}

<u>Part 2</u>

<u />(g \circ f)(x)=g(4x+1)=\sqrt{4x+1}

We need to make sure the radical is defined, meaning the radicand has to be non-negative. Thus,

4x+1 \geq 0\\\\4x \geq -1\\\\x \geq -\frac{1}{4}

Thus, the domain in interval notation is \boxed{\left[-\frac{1}{4}, \infty)}

8 0
2 years ago
A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and tes
hammer [34]

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
Suppose that y varies directly with x<br> and y = 10 when x = 20. What is y<br> when x = 15?
tresset_1 [31]

Answer: y = 7.5

Step-by-step explanation:

Suppose that y varies directly with x

That is, y∝x

Convert y∝x to a full equation by introducing a constant k to the right hand side.

Therefore, y = kx

Given that y = 10 and x = 20

Substitute y and x in the equation above. We have;

10 = k(20)

10 = 20k

20k = 10

k = 10/20

k = 0.5

Since k = 0.5, the equation y = kx becomes y = 0.5x

Now, to find y if x = 15, substitute x in equation y = 0.5x

Therefore, y = 0.5(15)

y = 7.5

5 0
3 years ago
Other questions:
  • F(n) =7n -11 <br> f(1)<br> f(2)
    9·1 answer
  • A cicular pool with a radius of 12 meter if filled with water to a depth of 3 meters. what is the weight of water in the swimmin
    9·1 answer
  • Ralph Chase plans to sell a piece of property for ​$160,000. He wants the money to be paid off in two ways monica ​short-term no
    6·1 answer
  • 24 × 10 × 90 = 90 × 2,400
    12·1 answer
  • An outdoor and camping store pays a wholesale price of $24.50 for a fishing rod and sells it for $31.85. What is the percent mar
    7·1 answer
  • 29. The table shows the average annual salary in dollars based on the minimum level of education required for two occupations. B
    5·1 answer
  • PLS HELP ME pls???!! I’m
    12·1 answer
  • What is the vertex form of: y = 3x^2 - 12x + 5
    8·2 answers
  • Factor the expression using GFC.<br><br>1. 12(y-8)​ give explanation pls
    14·1 answer
  • Match each number with its estimated power of 10
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!