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quester [9]
3 years ago
10

How do I do these please help

Mathematics
1 answer:
AfilCa [17]3 years ago
6 0
Your equation for number one is 600,788,188/760,507,625 = x/100
After cross multiplying you will get 760,507,625x = 60,078,818,800
Then you will divide by <span>760,507,625 to isolate the varible to get 78.99 = x.

Your equation in number two is 80/143 = x/100 because when you subtract 143  by 63 you get 80, the amount of males in the room. Then you cross multiply to get, 143x = 8000. Then you would divide both sides by 143 to isolate the varible to get 55%</span>
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The length of a table is 8 times longer then it’s width. If the perimeter is 72, how wide is the table?
Andrews [41]

Answer:

4 units wide

Step-by-step explanation:

Let the width of the table be 'w'

Given:

Perimeter of the table is, P=72

The perimeter of the rectangular table is given as the sum of all the sides of the rectangle. The sides include two lengths and two widths.

Length of the table is 8 times longer than its width. Therefore,

Length,L=8w

Now, perimeter is given as:

P=2L +2w\\P=2(8w)+2w\\P=16w+2w\\P=18w\\w=\frac{P}{18}

Now, plug in 72 for 'P' and solve for 'w'. This gives,

w=\frac{P}{18}\\\\w=\frac{72}{18}\\\\w=4

So, the table is 4 units wide.

6 0
3 years ago
PERÍMETRO: Encuentra las dimensiones de un rectángulo con perímetro igual a 563 pulgadas, si su largo es 6 pulgadas menos que 4
Orlov [11]

Answer: 4x - 6 = 563

Suma 6 a ambos lados para aislar la variante 4x.

4x - 6 = 563

+6. +6

4x = 569

Divide ambos lados por 4

4x/4 = 569/4

X = 142.5

Step-by-step explanation:

4 0
3 years ago
Write the equation of a line ( slope intercept form y = mx + b)
Sidana [21]

Answer:

y=1/4x-1

Step-by-step explanation:

i knew the general equation of the line and i knew the slope would be a fraction because the line is rlly flat

-1 would be the b and i plugged in simple fraction values for m

i checked in desmos and they look similar

hope this helps and is correct <3

3 0
3 years ago
According to ​Lambert's law​, the intensity of light from a single source on a flat surface at point P is given by Upper L equal
malfutka [58]

Answer:

(a) L = k*(1 - sin^{2}(\theta))        

(b) L reaches its maximum value when θ = 0 because cos²(0) = 1

Step-by-step explanation:

Lambert's Law is given by:

L = k*cos^{2}(\theta)   (1)

(a) We can rewrite the above equation in terms of sine function using the following trigonometric identity:

cos^{2}(\theta) + sin^{2}(\theta) = 1

cos^{2}(\theta) = 1 - sin^{2}(\theta)  (2)

By entering equation (2) into equation (1) we have the equation in terms of the sine function:

L = k*(1 - sin^{2}(\theta))        

(b) When θ = 0, we have:

L = k*cos^{2}(\theta) = k*cos^{2}(0) = k  

We know that cos(θ) is a trigonometric function, between 1 and -1 and reaches its maximun values at nπ, when n = 0,1,2,3...

Hence, L reaches its maximum value when θ = 0 because cos²(0) = 1.

I hope it helps you!

5 0
3 years ago
Read 2 more answers
g Annual starting salaries in a certain region of the U. S. for college graduates with an engineering major are normally distrib
algol13

Answer:

The probability that the sample mean would be at least $39000 is of 0.8665 = 86.65%.

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 \mu and standard deviation \sigma, the z-score 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 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 \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

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

Mean $39725 and standard deviation $7320.

This means that \mu = 39725, \sigma = 7320

Sample of 125

This means that n = 125, s = \frac{7320}{\sqrt{125}}

The probability that the sample mean would be at least $39000 is about?

This is 1 subtracted by the pvalue of Z when X = 39000. So

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

By the Central Limit Theorem

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

Z = \frac{39000 - 39725}{\frac{7320}{\sqrt{125}}}

Z = -1.11

Z = -1.11 has a pvalue of 0.1335

1 - 0.1335 = 0.8665

The probability that the sample mean would be at least $39000 is of 0.8665 = 86.65%.

4 0
2 years ago
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