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STatiana [176]
3 years ago
13

In making plastics a colourless gas is used and some will leak into the air. The manufacturer has given instructions to halt pro

duction if the mean (average ) amount of this gas in the area exceeds 3.0 parts per million (ppm). Every day the safety manager plans to select a large sample n=50 air specimens and to perform a one tailed test Ha µ > 3 at significance level α = 0.01. Determine the lower limit of the rejection region of this test. Give your answer to 2 decimal places.
Mathematics
1 answer:
olga_2 [115]3 years ago
6 0
I dont know :/ ............
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Evaluate the expression 29-3(9-4)
pav-90 [236]

Answer:

14

Step-by-step explanation:

PEMDAS - First Do Parentheses

29-3(5)

Then Do Multiplication

29-15

Then Finish with Subtraction

<u>14</u>

3 0
3 years ago
Read 2 more answers
I need help algebra ​
asambeis [7]

Answer:

A. the slope value is 1/4

B. 0

C. y = 1/4x

Step-by-step explanation:

A: the slope can be calculated with the formula

m =  \frac{rise}{run}  = \frac{y2 - y1}{x2 - x1}

m is the slope

(x1, y1) is your first coordinate point (any point will work)

(x2, y2) is your second coordinate point (any point will work)

Plug in your values, in this case I chose (0,0) and (4,1) as the two coordinates:

m =  \frac{y2 - y1}{x2 - x1}  =  \frac{1 - 0}{4 - 0}  =  \frac{1}{4}

B: the y-intercept is the y-coordinate of where the graph touches the y-axis and in this case the coordinate is (0,0) where the y coordinate is 0.

C:

the equation of the graph is y = mx + b.

m is the slope = 1/4

b is the y-intercept = 0

Therefore the equation is y = 1/4x

6 0
3 years ago
Consider the following region R and the vector field F. a. Compute the​ two-dimensional curl of the vector field. b. Evaluate bo
Shalnov [3]

Looks like we're given

\vec F(x,y)=\langle-x,-y\rangle

which in three dimensions could be expressed as

\vec F(x,y)=\langle-x,-y,0\rangle

and this has curl

\mathrm{curl}\vec F=\langle0_y-(-y)_z,-(0_x-(-x)_z),(-y)_x-(-x)_y\rangle=\langle0,0,0\rangle

which confirms the two-dimensional curl is 0.

It also looks like the region R is the disk x^2+y^2\le5. Green's theorem says the integral of \vec F along the boundary of R is equal to the integral of the two-dimensional curl of \vec F over the interior of R:

\displaystyle\int_{\partial R}\vec F\cdot\mathrm d\vec r=\iint_R\mathrm{curl}\vec F\,\mathrm dA

which we know to be 0, since the curl itself is 0. To verify this, we can parameterize the boundary of R by

\vec r(t)=\langle\sqrt5\cos t,\sqrt5\sin t\rangle\implies\vec r'(t)=\langle-\sqrt5\sin t,\sqrt5\cos t\rangle

\implies\mathrm d\vec r=\vec r'(t)\,\mathrm dt=\sqrt5\langle-\sin t,\cos t\rangle\,\mathrm dt

with 0\le t\le2\pi. Then

\displaystyle\int_{\partial R}\vec F\cdot\mathrm d\vec r=\int_0^{2\pi}\langle-\sqrt5\cos t,-\sqrt5\sin t\rangle\cdot\langle-\sqrt5\sin t,\sqrt5\cos t\rangle\,\mathrm dt

=\displaystyle5\int_0^{2\pi}(\sin t\cos t-\sin t\cos t)\,\mathrm dt=0

7 0
3 years ago
Number sense which subtraction  sentences show you how to find 15- 7
Mars2501 [29]
You can use addition to solve this problem. 7+_= 15
6 0
3 years ago
Find the modulus of |-10+24i|
gayaneshka [121]

Answer:

Your answer: 676

Step-by-step explanation:

| - 10 +24i|  =  \sqrt{ { (- 10})^{2}  +  24^{2}  }  =  \sqrt{100 + 576}  =  \sqrt{676}  = 26

8 0
3 years ago
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