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3 years ago

Will someone help with this ! I was allowed a retry for it and I don’t know how to do it

Mathematics

1 answer:

pashok25 [27]3 years ago

6 0

Answer:

$\frac{dN}{dt}=k(725-N)\\separating the variables and integrating\\\int \frac{dN}{725-N}=\int kdt+c\\-log (725-N)=kt+c\\log (725-N)=-kt-c\\(725-N)=e^{-kt-c} =e^{-kt} *e^{-c} =Ce^{-kt} \\when t=0,N=400\\725-400=Ce^{0} =C\\C=325\\when t=3,N=650\\725-650=325e^{-3k} \\\frac{75}{325}=(e^{-k})^3\\\\e^{-k} =(\frac{3}{13}) ^{\frac{1}{3} } \\when t=5\\725-N=325(\frac{3}{13}) ^{\frac{5}{3} } =325*\frac{3}{13}*(\frac{3}{13} )^{\frac{2}{3}}\\N=725-75*(\frac{3}{13} )^{\frac{2}{3} }=725-28=697$

Step-by-step explanation:

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A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 450 gram setting. It

Arturiano [62]

Answer:

Test statistic = -2.25

P-value = 0.0199

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 450 gram

Sample mean, $\bar{x}$ = 441 grams

Sample size, n = 16

Alpha, α = 0.05

Sample variance = 256

$\sigma^2 = 256\\\sigma = \sqrt{256} = 16$

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 450\text{ grams}\\H_A: \mu < 450\text{ grams}$

We use one-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{441 - 450}{\frac{16}{\sqrt{16}} } = -2.25$

Now,

Degree of freedom =

$=n-1 = 16-1=15$

We can calculate the p-value from the table as:

P-value = 0.0199

Conclusion:

Since the p-value is smaller than the significance level we fail to accept the null hypothesis and reject it.

Thus, there is enough evidence to support the claim that the machine is under filling the bags .

5 0

3 years ago

Describe the graph of the quadratic from the original y = x^2 .

Citrus2011 [14]

Answer:

a. Narrower

b. Shifts left

c. Opens up

d. Shifts up

Step-by-step explanation:

The original quadratic equation is y = x²

The given quadratic equation is y = 5·(x + 4)² + 7

The given quadratic equation is of the form, f(x) = a·(x - h)² + k

a. A quadratic equation is narrower than the standard form when the coefficient is larger than the coefficient in the original equation

The quadratic coefficient is 5 > 1 in the original, therefore, the quadratic equation is <em>narrower</em>

b. Given that the given quadratic equation has positive 'a', and 'b', and h = -4, therefore, the axis of symmetry <em>shifts left</em>

c. The quadratic coefficient is positive, (a = 5), therefore, the quadratic equation <em>opens down</em>

d. The value of 'k' gives the vertical shift, therefore, the given quadratic equation with k = 7, <em>shifts up.</em>

4 0

2 years ago

Find the area (in square inches) of the parallelogram.

WARRIOR [948]

<h2>864 inches²</h2>

Step-by-step explanation:

2 ft = 24 inch

3 ft = 36 inch

<h3>area of parellogram = base × height</h3><h3> = 24 × 36</h3><h3> = 864 inches²</h3>

<h2>MARK ME AS BRAINLIST</h2><h3>PLZ FOLLOW ME</h3>

8 0

3 years ago

A $52 video game is advertised for 20% off.If sales tax is 6% how much will the video game cost

Usimov [2.4K]

Answer:

S44.10

Step-by-step explanation:

20% of 52 is 41.6

6% of 41.6 is 2.49600 US$ which rounds to 2.50

2.50+41.6=44.1

$44.10

7 0

3 years ago

2 (×+1)=3×-1 how to solve for x?

hram777 [196]

Hi. 2 (×+1)=3×-1 ; 2x+2= 3x-1 ;
2x-3x= -1-2 ; -x = -3 ; x=3. Hope this helps.

4 0

3 years ago