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
Lana71 [14]
3 years ago
10

A company did a quality check on all the packs of trail mixes it manufactured. Each pack of trail mixes is targeted to weigh 9.2

5 oz. A pack must weigh within 0.23 oz of the target weight to be accepted. What is the range of rejected masses, x, for the manufactured trail mixes?
Mathematics
2 answers:
saw5 [17]3 years ago
4 0
If each pack of trail mixes is targeted to weigh 9.25 oz and must be within 0.23 oz of the target in order to be accepted, then rejected masses x, are those which weighs less than 9.02 oz or greater than 9.48 oz. 
Juli2301 [7.4K]3 years ago
3 0

Answer: The range of the rejected masses is,

|x-9.25| > 0.23

Step-by-step explanation:

Since, the weight of the pack = 9.25 oz

Also, the maximum changes in the weight = 0.23 oz

Thus, The maximum weight of the pack = 9.25 + 0.23

And, the minimum weight of the pack = 9.25 - 0.23

Thus, the if the weight is more than 9.25 + 0.23 or less than 9.25 - 0.23, then it will be rejected.

If x represents the rejected mass,

Then, 9.25 - 0.23 > x or  9.25 + 0.23 < x

⇒ -0.23 > x - 9.25  or 0.23 < x - 9.25

⇒ 0.23 < -(x-9.25) or 0.23 < x-9.25   ( Since, a > b ⇒ -a < - b )

⇒ 0.23 < | x - 9.25 |

Which is the required range of the rejected mass.

You might be interested in
X is a normally Distributed random variable with a standard deviation of 4.00. Find the mean of X when 64.8% of the area lies to
Cerrena [4.2K]

Answer:

7

Step-by-step explanation:

σ = 4 ; μ =?

8.52 to the left of X

.

P(X < 8.52) = 64.8%

P(X < 8.52) = 0.648

Using the Z relation :

(x - μ) / σ

P(Z < (8.52 - μ) / 4)) = 0.648

The Z value of 0.648 of the lower tail is equal to 0.38 (Z probability calculator)

Z = 8.52 - μ / 4

0.38 = 8.52 - μ / 4

0.38 * 4 = 8.52 - μ

1.52 = 8.52 - μ

μ = 8.52 - 1.52

μ = 7

5 0
3 years ago
I hate people who answer questions like this:
fiasKO [112]

Answer:

Oh wow

Step-by-step explanation:

Nice opinion xD

6 0
3 years ago
Abdul rolls a fair six-sided die and a fair four-sided die simultaneously. The sample space of all possible
gregori [183]

Answer: 7/24

Step-by-step explanation:

Probability is the branch of mathematics that is concerned with the numerical descriptions of how likely an event will occur or how likely a proposition is true

The probability that the six-sided die is three or Abdul rolls doubles is 7/24. The calculation is attached.

4 0
3 years ago
My living room is 6m (to the nearest m) by 5m (to the nearest m). What is the maximum and minimum area of my living room? Write
Archy [21]

Answer:

24.75m ≤ 30m < 35.75m

Step-by-step explanation:

Minimum area:

5.5 (lower bound of 6m) * 4.5 (lower bound of 5m) = 24.75m

Maximum area:

6.5 (upper bound of 6m) * 5.5 (upper bound of 5m) = 35.75m

Normal area:

6*5=30m

I hope that makes some sense or helps a little!

3 0
3 years ago
Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints of each subinterval as your
Veronika [31]

The expression of integral as a limit of Riemann sums of given integral \int\limits^5_b {1} \, x/(2+x^{3}) dxis 4 \lim_{n \to \infty}∑n(n+4i)/2n^{3}+(n+4i)^{3} from i=1 to i=n.

Given an integral \int\limits^5_b {1} \, x/(2+x^{3}) dx.

We are required to express the integral as a limit of Riemann sums.

An integral basically assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining infinite data.

A Riemann sum is basically a certain kind of approximation of an integral by a finite sum.

Using Riemann sums, we have :

\int\limits^b_a {f(x)} \, dx=\lim_{n \to \infty}∑f(a+iΔx)Δx ,here Δx=(b-a)/n

\int\limits^5_1 {x/(2+x^{3}) } \, dx=f(x)=x/2+x^{3}

⇒Δx=(5-1)/n=4/n

f(a+iΔx)=f(1+4i/n)

f(1+4i/n)=[n^{2}(n+4i)]/2n^{3}+(n+4i)^{3}

\lim_{n \to \infty}∑f(a+iΔx)Δx=

\lim_{n \to \infty}∑n^{2}(n+4i)/2n^{3}+(n+4i)^{3}4/n

=4\lim_{n \to \infty}∑n(n+4i)/2n^{3}+(n+4i)^{3}

Hence the expression of integral as a limit of Riemann sums of given integral \int\limits^5_b {1} \, x/(2+x^{3}) dxis 4 \lim_{n \to \infty}∑n(n+4i)/2n^{3}+(n+4i)^{3} from i=1 to i=n.

Learn more about integral at brainly.com/question/27419605

#SPJ4

5 0
2 years ago
Other questions:
  • Bill spent 2/3 of an hour swimming and 5/6 of an hour jogging. How much longer did he jog than swim
    7·2 answers
  • The sum if five times a number and 24 is seventy-nine
    10·1 answer
  • A short quiz has two true-false questions and one multiple-choice question with four possible answers. A student guesses at each
    6·1 answer
  • Find the slope of the line that passes through M(-6, 2) and N(-4, -2)
    14·1 answer
  • What is the square root of 16
    12·2 answers
  • If you have a cube with a side length of ¼, how many cubes can fit into your rectangular prism? Explain.
    5·1 answer
  • ????????????????????????????
    10·1 answer
  • Equal to, greater than, or less than?
    8·2 answers
  • Which equation has no real solutions?
    12·1 answer
  • Use Product sue<br>solve<br>to<br>5x sino<br>23<br>tana​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!