What does this mean?

Answer:

a) [tex]a(t)=7e^{\frac{-t}{325} }[/tex]

b) it is noticeable

Step-by-step explanation:

a) Let a(t) be the amount of die at time t. a is in kg and t is in minutes. Therefore:

[tex]\frac{da}{dt} =\frac{-a(t)}{65000}*\frac{200gal}{1 min}=\frac{-a}{325}\\\frac{da}{a} =\frac{-1}{325} dt\\\int\limits{\frac{1}{a} } \, da =\int\limits{\frac{-1}{325} } \, dt\\ln(a)=\frac{-1}{325} t+c\\a=ce^{\frac{-t}{325} }\\at\ t=0, a=7\\ 7=ce^0\\c=7\\a(t)=7e^{\frac{-t}{325} }[/tex]

b) 4 hrs = (4 * 60) min = 240 min

[tex]a(t)=7e^{\frac{-t}{325} }\\a(240)=7e^\frac{-240}{325} = 3.345kg[/tex]

3.345 kg = (3.345 * 1000 / 60000) g/gal = 0.0557 g/gal

0.0557 g/gal > 0.03 g/gal, therefore it is noticeable

Answer:

1,969.55 is the answer

Answer: f(x)=44

Step-by-step explanation:

Since x is given, we can directly plug it into our function.

[tex]f(8)=6(8)-4[/tex]

[tex]f(8)=48-4[/tex]

[tex]f(8)=44[/tex]

Answer:

According to the proble, the total number of goals are 1+11+15+23 = 50: 1 by the goalkeeper, 11 by defense, 15 by midfielders and 23 by strikers.

So, each probability can be found by using standard probabilities

[tex]P=\frac{events}{total outcomes}[/tex]

[tex]P=\frac{11}{50} \approx 0.22[/tex]

Therefore, the defense has a probability of 22% of score that goal.

[tex]P=\frac{15}{50} \approx 0.30[/tex]

Therefore, midfielders have a probability of 30% of scoring that goal.

[tex]P=\frac{23}{50} \approx 0.46[/tex]

Therefore, strikers have a probability of 46% of scoring that goal.

Para resolver correctamente el ejercicio debemos tener en cuenta el numero de casos favorables sobre el numero total de casos posibles; el numero de casos favorables corresponde a la proporción de goles por cada linea,lo que quiere decir que son el numero de goles por cada linea según los datos que da el ejercicio.

El numero total de casos posibles corresponde al valor total de los goles por todo el equipo  (1+11+15+23=50)

Ahora para calcular las probabilidades debemos hacer lo siguiente:

                P=[tex]\frac{11}{50}[/tex] =0.22 ×100=22%; ( la probabilidad de que anoten un gol las defensas es del 22%.

                     P=[tex]\frac{15}{50}[/tex]=0.3 ×100=30% (La probabilidad de que anoten un gol los medios es del 30%

                              P=[tex]\frac{23}{50}[/tex]=0.46×100=46%; (La probabilidad de que anoten un gol los delanteros es del 46%)

Como conclusión podemos decir que hay una mayor probabilidad de que los delanteros puedan anotar ese único gol que les permita ganar el partido pues el numero de casos posibles es mayor comparado con las otras lineas del equipo.

Si deseas mas información sobre el tema de las probabilidades puedes dirigirte a este enlace;

https://brainly.com/question/18455475

Answer:

Step-by-step explanation:

(a) The figure shows the diameter of the pipe is 4 ft, so its radius is 2 ft. The equation for the volume of a cylinder is ...

  V = πr^2·h

Filling in r=2 and h=18, we have ...

  V = π(2 ft)^2(18 ft) = 72π ft^3

The exact volume is 72π ft³.

__

(b) Using a sufficiently accurate value of pi, the numerical value of the volume is ...

  72π ft^3 ≈ 226.19 ft^3

The approximate volume is 226.19 ft³.

Answer:

16 meters

Step-by-step explanation:

when the ball is thrown, the initial time is 0 seconds.  Therefore, x =0.  

h(0) = 2(0)^2 +4(0) + 16

h(0) = 16

the height of the ball at the time it is thrown is 16 meters.

Answer:

16 meters

Step-by-step explanation:

Got it right on khan

Answer:

true

Step-by-step explanation:

Slope is the change in y over the change in x:

Slope = (8 - (-1) ) / ( 1 - (-8))

Slope = 9/ 9

Slope = 1

Answer:

30 and 36

Step-by-step explanation:

six times two equals 12

6 * 3 = 18

and six times four equals 24.

to get the next two multiples, You need to multiply 6 by 5, and then 6

6 * 5 = 30 and 6 * 6 = 36

Answer: I am pretty confident that the answer to your question is kf(x).

Step-by-step explanation: SO in the graph of f(x) = x^2, one of the coordinates is (1,1). And in the graph of kf(x), it changes to (1,3).

Answer: true

Step-by-step explanation:

Question:

Suppose IQ scores were obtained for 20 randomly selected sets of couples. The 20 pairs of measurements yield x' =97.47, y' =97.35, r=0.892, P=0.000, and y^=-9.15+1.09x, where x represents the IQ score of the wife. Find the best predicted value of y given that the wife has an IQ of 104? Use a significance level of 0.05.

Answer:

y^ = 104.21

Step-by-step explanation:

Given:

n = 20

x' = 97.47

y' = 97.35

r = 0.892

P-value = 0.000

y^ = -9.15 + 1.09x

Here, the wife has an IQ of 104.

The regression equation here is given as:

y^ = -9.15 + 1.09x

Let x represent the IQ of the wife.

x = 104

Hence, the best predicted value of y^ will be:

Let's substitute 104 for x in tge regression equation.

y^ = -9.15 + 1.09(104)

y^ = - 9.15 + 113.36

y^ = 104.21

Therefore, the best predicted value of y^ = 104.21

Answer: Jordan is sad about how the story ends

Step-by-step explanation:

The story is sad

Jordans POV

Answer:

Therefore, a sample that is required to estimate the mean usage of water must be at least 249.

Step-by-step explanation:

We are given that they would like the estimate to have a maximum error of 0.13 gallons.

A previous study found that for an average family the variance is 2.56 gallons and the mean is 16.3 gallons per day.  

As we know that; Margin of error formula is given by;

   Margin of error  =  [tex]Z_(_\frac{\alpha}{2}_) \times \text{Standard of error}[/tex]

where, [tex]\alpha[/tex] = level of significance = 1 - 0.80 = 20% and  [tex](\frac{\alpha}{2} )[/tex] = 10%

Standard of error =  [tex]\frac{\sigma}{\sqrt{n} }[/tex]

where, [tex]\sigma[/tex] = standard deviation = [tex]\sqrt{2.56}[/tex] = 1.6

            n = sample size

Also, the critical value of z at 10% significance level is given in the z table as 1.282.

SO,  Margin of error  =  [tex]Z_(_\frac{\alpha}{2}_) \times \frac{\sigma}{\sqrt{n} }[/tex]

                 0.13           =  [tex]1.282 \times \frac{1.6}{\sqrt{n} }[/tex]

                  [tex]\sqrt{n}[/tex]  =  [tex]\frac{1.282 \times 1.6}{0.13}[/tex]

                    n  =  [tex]15.8^{2}[/tex]

                    n  =  248.95  ≈ 249.

Therefore, a sample that is required to estimate the mean usage of water must be at least 249.

Answer:

Step-by-step explanation:

2 and 6

Answer:

2 and 6

Step-by-step explanation:

mode is the most frequent number and 2 and 6 are both shown the most and that is 4 times for both its a tie so it would be both of them

Answer:

x=-6

Step-by-step explanation:

substitute f(x)=0

0=1/3x+2

solve for x

x=-6

Answer:

x >= -6

Step-by-step explanation:

edg 2020

Answer:

35 divided by 15 multiplied by 4=9

Step-by-step explanation:

Hope this helps

Answer:

The answer to this is both (3,0) and (0,-3). C and B

Step-by-step explanation:

This is because the points in which these two graphs meet is the solution of equations.

Please mark me Brainliest!

Answer: 91

Step-by-step explanation: I assume you had a typo and mean what did Ana need on the 5th quiz since you only listed 4 quiz scores.

(74 + 92 + 83 + 100 + x)/5 = 88

(349 + x)/5 = 88

((349 +x)/5) x 5 = 88 x 5

349 + x = 440

x = 440-349

x  = 91

Answer:

he will pay

Step-by-step explanation:

2962.25 is the total weight of the bricks

Answer:

You can make 27 meatballs.

Step-by-step explanation:

if you add keep subtracting 8.1 by 0.3, then you subtract 27 times to get 0, so you can make 27 meatballs.

Answer:

A square

Step-by-step explanation:

A square meets the requirements of a parallelogram.

Answer: the answer to this is A

Answer:A

Step-by-step explanation:

Simple. You'll find the function itself as proportional, and not exponential.

Answer:

   $633.00

Step-by-step explanation:

Decreasing the price 25% makes the new price be 75% of the original:

  $474.75 = 0.75×(original price)

  original price = $474.75/0.75

  original price = $633.00

Answer:

A=2πrh+2πr2

Step-by-step explanation:

Answer:

the surface area of cylinder is T.S.A=

2πrh+2πr2

HOPE IT HELPS YOU

Answer:

[tex]C \approx 91.732^{\circ}[/tex]

Step-by-step explanation:

(This exercise is presented in Spanish and for that reason explanation will be held in such language)

El lado restante se determina por la Ley del Coseno:

[tex]a = \sqrt{b^{2}+c^{2}-2\cdot b\cdot c \cdot \cos A}[/tex]

[tex]a = \sqrt{5.79^{2}+10.4^{2}-2\cdot (5.79)\cdot (10.4)\cdot \cos 54.46^{\circ}}[/tex]

[tex]a \approx 8.466[/tex]

Finalmente, el angulo C se halla por medio de la misma ley:

[tex]\cos C = - \frac{c^{2}-a^{2}-b^{2}}{2\cdot a \cdot b}[/tex]

[tex]\cos C = -\frac{10.4^{2}-8.466^{2}-5.79^{2}}{2\cdot (8.466)\cdot (5.79)}[/tex]

[tex]\cos C = -0.030[/tex]

[tex]C \approx 91.732^{\circ}[/tex]

Answer:

a) x is the cost of an apple and y is the cost of a banana.

b)

[tex]4x + 3y = 2.59[/tex]

[tex]6x + 5y = 4.11[/tex]

c) An apple costs $0.31 and a banana costs $0.45.

Step-by-step explanation:

We have to find the cost, in dollars, of an apple and of a banana.

We do this solving a system of equations.

a) Decide on pronumeral names for the unknown quantities.

I am going to say that:

x is the cost of an apple.

y is the cost of a banana.

b).write equations involving these pronunerals.work in terms of dollars.

4 apples and 3 bananas for $2.59

This means that [tex]4x + 3y = 2.59[/tex]

6 apples and 5 bananas for $4.11

This means that [tex]6x + 5y = 4.11[/tex]

c). Solve for the unknowns.

I am going to use the addition method, multiplying the first equation by 5 and the second by -3, and then adding them. So

20x + 15y = 12.95

-18x - 15y = -12.33

20x - 18x + 15y - 15y = 12.95 - 12.33

2x = 0.62

x = 0.62/2

x = 0.31

And

4x + 3y = 2.59

3y = 2.59 - 4x

3y = 2.59 - 4*0.31

3y = 1.35

y = 1.35/3

y = 0.45

An apple costs $0.31 and a banana costs $0.45.

Answer:

The sample size required is 2188.

Step-by-step explanation:

The (1 - α)% confidence interval for the population proportion is:

[tex]CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

The margin of error for this interval is:

[tex]MOE= z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

The information provided is:

X = 162

n = 462

MOE = 0.02

Assume the confidence level as 95%.

Compute the sample proportion as follows:

[tex]\hat p=\frac{X}{n}=\frac{162}{462}=0.351[/tex]

The z-critical value for 95% confidence interval is:

[tex]z_{0.025}=1.96[/tex]

Compute the sample size required as follows:

[tex]MOE= z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

      [tex]n=[\frac{z_{\alpha/2}\times \sqrt{\hat p(1-\hat p)}}{MOE}]^{2}[/tex]

         [tex]=[\frac{1.96\times\sqrt{0.351(1-0.351)}}{0.02}]^{2}\\\\=2187.781596\\\\\approx 2188[/tex]

Thus, the sample size required is 2188.

Answer:

1/12

Step-by-step explanation: