A rectangular prism measures 8 inches in width, 12 inches in length, and 4 inches in height. What is the surface area of the prism? Enter your answer in the box.

Answer:

0.0062 = 0.62% probability that the sample mean is less than $650.

Step-by-step explanation:

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

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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 p-value, 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 normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of $675 and a standard deviation of $80.

This means that [tex]\mu = 675, \sigma = 80[/tex]

A random sample of 64 families in this city paying for childcare is selected.

This means that [tex]n = 64, s = \frac{80}{\sqrt{64}} = 10[/tex]

Find the probability that the sample mean is less than $650.

This is the pvalue of Z when X = 650.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{650 - 675}{10}[/tex]

[tex]Z = -2.5[/tex]

[tex]Z = -2.5[/tex] has a pvalue of 0.0062

0.0062 = 0.62% probability that the sample mean is less than $650.

The probability that the sample mean is less than $650 is 0.62%.

The z score is given by:

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } \\\\where\ x=raw\ score,\sigma=standard\ deviation,\mu=mean,n=sample\ size\\\\\\Given \ \mu=675,\sigma=80,n=84, hence:\\\\For\ x<650:\\\\z=\frac{650-675}{80/\sqrt{64} } =-2.5[/tex]

From the normal distribution table:

P(x < 650) = P(z < -2.5) = 0.0062 = 0.62%

The probability that the sample mean is less than $650 is 0.62%.

Find out more at: https://brainly.com/question/15016913

Answer:

Step-by-step explanation: Let me help

Answer:

i go k 12 i im taking the test rn

Step-by-step explanation:

5.5   6.0    6.5  7.0

                           3

                  7

         6  

5

Answer:

4(1+n)

Step-by-step explanation:

4+4n

4+4n

Factor the polynomial 4+4n by it's GCF: 4

4\left(1+n\right)

4(1+n)

Answer:

1:02

Step-by-step explanation:

There are 30 minutes in a half-hour, so add this to the time he left:

12:32 + 30 mins

= 1:02

He will need to be back at 1:02

Answer: 904.32  cubic units.

Step-by-step explanation:

The formula for a sphere's volume is V = [tex]V = \frac{4}{3}\pi r^{3} \\[/tex]

Substitute pi for 3.14 and radius for 6. 6^3 = 216

[tex]\\V = \frac{4}{3}\ (3.14)( 216) \\\\[/tex]

Multiply them together, the answer is 904.32  cubic units.

Answer:

$14,000

Step-by-step explanation:

Answer:

It's answer is rhombus .

The quadrilateral having 4 congruent sides is rhombus.

Hope it will help :)❤

Well, the answer would bee 1/10 for a simple reason: the 3 in 7.315 is in the tenth's spot while the 3 in 893.5 is in the ones. a one spot different that can be proven with logic.

Answer:

96

Step-by-step explanation:

Step-by-step explanation:

Answer:

Answer

Find out f(f(x)) .

To prove

As given in the question

f(x) = x² + 1

Now

f(f(x)) = f (x² + 1)

Now find out the value of f (x² + 1).

f(f(x)) = f (x² + 1)

        = (x² + 1)² + 1

Using formula

(a + b)² = a² + b² + 2ab

Apply in the above function

f(f(x)) = (x² + 1)² + 1

f(f(x)) = [tex]x^{4}[/tex] + 1 + [tex]2x^{2}[/tex] + 1

Simplify

f(f(x)) = [tex]x^{4}[/tex] +  [tex]2x^{2}[/tex] + 2

Thus the value of  f(f(x)) is: f(f(x)) = [tex]x^{4}[/tex] +  [tex]2x^{2}[/tex] + 2

Step-by-step explanation:

LMS: Learning management systems

Answer: LMS

Step-by-step explanation:

Last Monthly Sign-in

Answer:

173.2

Step-by-step explanation:

area of equilateral triangle = √3 / 4 l^2

so area =173.2

Answer:

hope it will help u.

Answer:

linear

Step-by-step explanation:

Answer:

Step-by-step explanation:

If a quadrilateral is a parallelogram, then its opposite sides are congruent. If a quadrilateral is a parallelogram, then its opposite angles are congruent. If a quadrilateral is a parallelogram, then its diagonals bisect each other.

Answer:

la solucion es 288

Step-by-step explanation:

porque 12 pisos •12 habitaciones es 144 habitaciones y multiplicar 144 con 2 personas tenemos 288.

espero que esto ayude!!

Answer:

akuy3uwujwu

Step-by-step explanation:

uwoedihwo

Answer:

Safety stock inventory, sometimes called buffer stock, is the level of extra stock that is maintained to mitigate risk of run-out for raw materials or finished goods due to uncertainties in supply or demand.

HOPE IT HELPS...

HAVE A GREAT DAY : P

Answer:

x = 25

Step-by-step explanation:

By tangent of properties, we can get that triangle DBA is congruent to triangle DCA,

Thus, we come to the conclusion that 2x + 3 = 53

x = 25

Answer:

i cant see the direction sorry :(

Step-by-step explanation:

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Answer: 11.52

Explanation:

1.28 x 9 = 11.52

I hope this helped!

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- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

Step-by-step explanation:

Answer:

25x-21 would be my best guess!

Answer:

B. {(x, y): y = x²}

Step-by-step explanation:

A function is a graph where every input (x-value) has one and only one output (y-value). In other words if the value for x=2, there will only be one corresponding point for y. For the function in B, that y-value would be 4. Both A and D, solve for y, means taking the square root which leaves a +/- x-value. C is absolute value of y, which means the positive and negative values for y would have the same point. Only choice B has x-values corresponding to a singular y-value. If you can remember what these graphs look like you can test if they are functions based on the vertical line test.

Which figure where is the figure

Answer:

84

Step-by-step explanation:

45 + 39 = 84