What is the ratio of the leg opposite the angle to the leg adjacent to the
angle.

Step-by-step explanation:

Answer:

sorry I don't know this average because it's confusing

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%.

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Answer:

D

Step-by-step explanation:

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!!

LMS: Learning management systems

Answer: LMS

Step-by-step explanation:

Last Monthly Sign-in

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:

hope it will help u.

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: 163

Step-by-step explanation:

Answer:

The number of students that are left handed

Step-by-step explanation:

Answer:

it represent 3 students

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:

96

Step-by-step explanation:

Answer:

Step-by-step explanation:

speed = 240 miles/(6 hours) = 40 miles/hour

360 miles × 1 hour/(40 miles) = 9 hours

20*15=300

It's "too short", but there's not much else to say here.

Answer:

Ryan will earn $300 if he mows 15 lawns.

Step-by-step explanation:

$20 × 15 = $300

Answer:D is correct

Step-by-step explanation:

y=1/2x+1

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:

Answer:

We have to find the 90% confidence interval for the mean

                 Given sample size  

                        Sample mean  

Population standard deviation  

Here the confidence level is 90% then  

                                                  And  

The 90% confidence interval is  

Here  is the critical value at 0.05

From the tables  

Now the 90% confidence interval is =

                                                                                     =

                                                                                     =(3840.44, 4133.56)

Hence the 90% confidence interval for the mean is (3840.44, 4133.56)

Answer:

131.0 N

Step-by-step explanation:

Let the 90 N force is acting a horizontal force on the object

Horizontal force = 90 + 58sin33

Vertical force = 58cos33

∴The resultant force = √(90 + 58sin33)² + (58cos33)²

= 131.0 N

Answer: X= 5

Step-by-step explanation:

I think that's the answer your looking for??

Answer:

Since it does not plug in to the second linear equation, the ordered pair is not a solution of the linear system.

Step-by-step explanation:

(-1,3); y = -7x -4 y = 8x + 5 3 =7 - 4  3 =/ - 8 + 5

For a system of equations to have no real solution, the lines of the equations must be parallel to each other. The ordered pair (-1,3) is not the solution of the given system of equations.

For a system of equations to have no real solution, the lines of the equations must be parallel to each other.

Consistent System

1. Dependent Consistent System

For a system of the equation to be a Dependent Consistent System, the system must have multiple solutions for which the lines of the equation must be coinciding.

2. Independent Consistent System

For a system of the equation to be an Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.

The solution of the equation can be found by plotting the equation on the graph. Therefore, the point at which the equation will intersect will the solution of the system of equation.

Since the solution of the system of equation is (-0.6, 0.2), there exists only one single solution for the system of equation. therefore, the (-1,3) is not the solution of the system of equation.

Hence, the ordered pair (-1,3) is not the solution of the given system of equations.

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#SPJ2

Answer:

173.2

Step-by-step explanation:

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

so area =173.2

Answer:

128 - 32pi

OR

27.469

Step-by-step explanation:

The area of the rectange is 8 x 16 = 128

The area of the semicircle is pi * 8^2 divided by 2

(pi * 8^2)/2

(pi * 64)/2

pi * 32

So the area of the rectangle outside the semicircle is: 128 - 32pi

In approximate form it is: 27.469

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:

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)