What is the estimate of 204878

Three times the sum of a number and 21 is at most -26

Anna007 [38]

It would be: 3(x + 21) ≤ -26
3x + 21 ≤ -26
3x ≤ -47
x < -47/3

In short, Your Answer would be -47/3 or 15.67

Hope this helps!

8 0

3 years ago

what is an equation for the line that passes through (-1,-4) and (1,4)? Write the equation in slope-intercept form.

hichkok12 [17]

To find the slope use the formula Y2-Y1 --------- X2-X1 (-1,-4) (1,4) 4- -4 = 8 ------------- 1- -1 = 2 8/2=4 This will be your slope Y=4x Now we must figure out the y-intercept using the formula Y-y1=slope(x-x1) Y- -4= 4(x- -1) Y+4= 4x + 4 The 4 distributes to the x and -1 Y=4x +4 -4 Y= 4x This is your answer in slope intercept form. P.S if you have a number minus a negative number it makes it a positive number

7 0

4 years ago

A professor pays 25 cents for each blackboard error made in lecture to the student who pointsout the error. In a career ofnyears

marta [7]

Answer:

(a) The probability that Y₂₀ exceeds 1000 is 3.91 × 10⁻⁶.

(b) n = 28.09

Step-by-step explanation:

The random variable Yₙ is defined as the total numbers of dollars paid in n years.

It is provided that Yₙ can be approximated by a Gaussian distribution, also known as Normal distribution.

The mean and standard deviation of Yₙ are:

$\mu_{Y_{n}}=40n\\\sigma_{Y_{n}}=\sqrt{100n}$

(a)

For n = 20 the mean and standard deviation of Y₂₀ are:

$\mu_{Y_{n}}=40n=40\times20=800\\\sigma_{Y_{n}}=\sqrt{100n}=\sqrt{100\times20}=44.72\\$

Compute the probability that Y₂₀ exceeds 1000 as follows:

$P(Y_{n}>1000)=P(\frac{Y_{n}-\mu_{Y_{n}}}{\sigma_{Y_{n}}}>\frac{1000-800}{44.72})\\=P(Z> 4.47)\\=1-P(Z$

**Use a z table for probability.

Thus, the probability that Y₂₀ exceeds 1000 is 3.91 × 10⁻⁶.

(b)

It is provided that P (Yₙ > 1000) > 0.99.

$P(Y_{n}>1000)=0.99\\1-P(Y_{n}$

The value of z for which P (Z < z) = 0.01 is 2.33.

Compute the value of n as follows:

$z=\frac{Y_{n}-\mu_{Y_{n}}}{\sigma_{Y_{n}}}\\2.33=\frac{1000-40n}{\sqrt{100n}}\\2.33=\frac{100}{\sqrt{n}}-4\sqrt{n} \\2.33=\frac{100-4n}{\sqrt{n}} \\5.4289=\frac{(100-4n)^{2}}{n}\\5.4289=\frac{10000+16n^{2}-800n}{n}\\5.4289n=10000+16n^{2}-800n\\16n^{2}-805.4289n+10000=0$

The last equation is a quadratic equation.

The roots of a quadratic equation are:

$n=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}$

a = 16

b = -805.4289

c = 10000

On solving the last equation the value of n = 28.09.

8 0

3 years ago

Mrs.Solar modelded Contractor 1's fee formula with the equation y = 50x 200.

KonstantinChe [14]

I WOULD DO THE EASIEST, A.

6 0

4 years ago

Give two reasons why an IT manager would consider using cloud software.

ludmilkaskok [199]

1. Cloud offers better insight.In a world awash in structured and, increasingly, unstructured data, 54% of leading organizations are using analytics to derive insights from big data, which helps them target customers and product opportunities more effectively.

2. Cloud helps collaboration. Cloud allows work to be accessed from multiple devices and from anywhere, which in turns makes it much easier for teams to collaborate on shared data.

5 0

3 years ago