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
Paul [167]
3 years ago
10

L = 8, w = 4, h = 2 Find the diagonal (d) of the base

Mathematics
1 answer:
In-s [12.5K]3 years ago
6 0
You must multiply each number for example 8*4*2= 64 so the after math is 64 after all the work the answer is ^4.
You might be interested in
The mean weight of an adult is 69 kilograms with a variance of 121. If 31 adults are randomly selected, what is the probability
amid [387]

Answer:

0.2236 = 22.36% probability that the sample mean would be greater than 70.5 kilograms.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Also, important to remember that the standard deviation is the square root of the variance.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 69, \sigma = \sqrt{121} = 11, n = 31, s = \frac{11}{\sqrt{31}} = 1.97565

What is the probability that the sample mean would be greater than 70.5 kilograms?

This is 1 subtracted by the pvalue of Z when X = 70.5. So

Z = \frac{X - \mu}{\sigma}

By the Central limit theorem

Z = \frac{X - \mu}{s}

Z = \frac{70.5 - 69}{1.97565}

Z = 0.76

Z = 0.76 has a pvalue of 0.7764

1 - 0.7764 = 0.2236

0.2236 = 22.36% probability that the sample mean would be greater than 70.5 kilograms.

8 0
3 years ago
What is the solution set of the equation?<br> <img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D%20-18%2B9x%3Dx" id="TexFormula1"
bagirrra123 [75]

9514 1404 393

Answer:

  x ∈ {2.07014981016}

Step-by-step explanation:

The equation can be rewritten as ...

  √x = 18-8x

  x = 324 -288x +64x²

  64x² -289x +324 = 0

  x = (289 ±√577)/128 ≈ {2.07015, 2.44548}

Since √x must be positive, we know that ...

  18 -8x ≥ 0

  x ≤ 18/8 = 2.25

The larger of the above solutions is extraneous, so the solution set is ...

  x ∈ {(289 -√577)/128} ≈ {2.07015}

8 0
2 years ago
Cindy types 180 words in 2 minutes
Mamont248 [21]
She types in 450 words in 5 minutes
180/2=90
90*5=450
8 0
3 years ago
The astronomical unit (AU) is the mean distance from the sun to the earth.
Mrac [35]
By definition, we have to
 1 AU = 1.5 * 10 ^ 8Km
 a comet is 2.3 AU from the earth, which means that we must transform this unit to kilometers.
 2.3 AU = (2.3) * (1.5 * 10 ^ 8) = 3.45 * 10 ^ 8km
 answer
<span> 3.45 × 10,superscript,8,baseline, km
</span>
7 0
3 years ago
Read 2 more answers
Whats 27h divided by 3h in standard form
stira [4]

27h / 3h  =  (9 x3h) / (1x3h)  =<em>  9 </em><span>  </span>
5 0
3 years ago
Read 2 more answers
Other questions:
  • Point A is located at (0, -2) and is rotated 180°. What are the coordinates of point A'?
    8·2 answers
  • Use the functions f(x) = 4x − 5 and g(x) = 3x + 9 to complete the function operations listed below. Part A: Find (f + g)(x). Sho
    8·1 answer
  • You can walk 1  1/2 miles in 1/2 hour. What is your average speed?
    14·1 answer
  • How to define distance along a line
    14·2 answers
  • To celebrate ratios, Mrs. Johnson’s class will make pizzas. Julio is in charge of bringing in the sauce. There are 30 students i
    12·2 answers
  • What is the answer when you simplify?.​
    14·2 answers
  • Which of the following is the point and slope of the equation y - 9 = 3/2(x - 1)?
    9·2 answers
  • Which number is irrational?<br> -4<br> 2/9<br> 8.26<br> 11
    11·1 answer
  • a paperboy delivers papers he delivers 189 papers in 3 hours what is the unit rate of his delivery per hour.
    9·1 answer
  • Apply Euclid algorithm to find HCF of number 4052 and 420​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!