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3 years ago

How to draw x is less than and equal to 11/5 on number line?

1 answer:

6 0

First, write out the statement as an inequality so that it looks like this: x≤11/5
Then you graph it on a number line, and since you know anything greater/less than or equal to is a closed circle since it includes the value 11/5, you would plot a closed circle on 11/5 on a number line and draw and arrow pointing towards the left to show that only values 11/5 or under can satisfy x.

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Solve 2/3x-1/5>1 Need help asap

nalin [4]

Answer:

x > 9/5

Step-by-step explanation:

might not be correct but ur welcome for the help

3 0

3 years ago

Read 2 more answers

An observer measures the angle from the ground

BigorU [14]

Answer:

The answer is 138*

Step-by-step explanation:

The next one is 7

And the length of side X is 47m

The building is 31m tall

plz rate and don't let this get removed people need the help rn

3 0

3 years ago

Find the volume of the rectangular prism. 9 cm 9 cm 9 cm

cricket20 [7]

Answer:

$3672 cm^3$

Step-by-step explanation:

There is a typo in the question, the lengths of the sides of the prism are:

24 cm

9 cm

17 cm

(otherwise, if all sides were 9 cm, it would be a cube, not a prism)

The volume of a rectangular prism is given by:

$V=l\cdot w\cdot h$

where:

l is the length of the prism

w is the width of the prism

h is the height prism

In this problem,

$l=24 cm$ (length)

$w=9 cm$ (width)

$h = 17 cm$ (height)

Therefore, the volume of the prism is:

$V=24\cdot 9 \cdot 17 = 3672 cm^3$

3 0

2 years ago

NetSell, a the TV remote control supplier for Lumyn Electronics, has a weekly production cost of q TV remote controls that is gi

natali 33 [55]

Answer:

a. $\frac{dC(q)}{dq} = 0.000012q^2 -0.06q + 100$

b. $\frac{dR(q)}{dq}=-0.01q+200$

$U'(2000)=-0.000012(2000)^2+0.05(2000)+100 = 152$

$U'(7000)=-0.000012(7000)^2+0.05(7000)+100 = -138$

Step-by-step explanation:

a) The marginal cost function is given by the derivative of the total cost function, in this way the marginal cost function for this company is:

$\frac{dC(q)}{dq} = \frac{dC(q)}{dq} (0.000004q^ 3 - 0.03q ^ 2 + 100q + 75000) = 0.000012q^2 -0.06q + 100$

b) The income function is given by the relation $R (q) = P (q) q = -0.005q^2 + 200q$ .

The marginal revenue function for the company is given by the derivative of the revenue function, in this way the marginal revenue function is:

$\frac{dR(q)}{dq}= -0.01q+200$

(c) The profit function of the company is given by the relation $U (q) = R (q) - C (q)$ , and the marginal utility function is given by the derivative of the utility function, in this way , the marginal utility function is:

$\dfrac{dU(q)}{dq}=R'(q) - C'(q) = -0.01q+200 - (0.000012q^2-0.06q+100) = -0.000012q^2+0.05q+100$

When q = 2000, the marginal utility is:

$U'(2000)=-0.000012(2000)^2+0.05(2000)+100 = 152$

When q = 7000, the marginal utility is:

$U'(7000)=-0.000012(7000)^2+0.05(7000)+100 = -138$

6 0

3 years ago

An unconfined compression test was performed to determine the average strength of concrete cylinders (in psi). It is believed th

Ronch [10]

Answer:

Explained below.

Step-by-step explanation:

(1)

The confidence level is, 91%.

Compute the value of α as follows:

$\text{Confidence level}\% =(100-\alpha \%)\\\\91% = 100-\alpha \%\\\\\alpha \%=100-91\%\\\\\alpha \%=9\%\\\\\alpha =0.09$

(2)

As the population standard deviation is provided, i.e. σ = 256 psi, the z value would be appropriate.

The z value for α = 0.09 is,

z = 1.69

(3)

Compute the 91% confidence interval as follows:

$CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}$

$=3000\pm 1.69\cdot\frac{256}{\sqrt{70}}\\\\=3000\pm 51.71\\\\=(2942.29, 3057.71)$

(4)

The 91% confidence interval for population mean implies that there is a 0.91 probability that the true value of the mean is included in the interval, (2942.29, 3057.71) psi.

8 0

2 years ago