a closed circular water tank in a subdivision is made up of concreate aluminum. its outer diameter is 8.4 m and its height is 12 m. if it is to be painted on the exterior, then how much total surface area is to be painted?

Answer:

1400

Step-by-step explanation:

Answer:

Hi! The answer to your question is Lillian's paper flew \(\frac{1}{4}\) feet further than Issac's

Step-by-step explanation:

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Answer:

3/12 or 1/4 foot.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

If a research institute poll asked respondents if they felt vulnerable to identity theft:

a) Population proportion p

Using this formula to find the  population proportion p.

p = (x/n)

Let plug in the formula

p = 584/1024

p= 0.57

b) Margin of error

Value of z-score for a confidence level of 95%= 1.96

Using this formula to margin of error

MOE =( z alpha x √(p) (1-p) / n )

Let plug in the formula

MOE =( 1.96 x √(.57)(1-.57) / 1024)

MOE =( 1.96 x √(.57)(.43) / 1024)

MOE =( 1.96 x √0.000239

MOE =( 1.96 x 0.015459)

MOE = 0.030

c) Confidence interval

Confidence interval =0.57 ± 0.030

Confidence interval = (0.57 -0.030) , (0.57 +0.030)

Confidence interval = 0.54; 0.6

Confidence interval = 0.54 <p< 0.6

d) The  statement that correctly interprets the confidence interval is:

a) One has 95% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.

Therefore the Population proportion p is 0.57, MOE is 0.030 and CI is  0.54; 0.6.

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The complete question is:
Use the sample data and confidence level given below to complete parts​ (a) through​ (d). A research institute poll asked respondents if they felt vulnerable to identity theft. In the​ poll, n=1024 and x=584 who said "yes"  Use a 95% confidence level.

a) Find the best point estimate of the population proportion p.

b) Identify the value of the margin of error E.

c) Construct the confidence interval.

d) Write a statement that correctly interprets the confidence interval. Choose the correct answer bellow

a) One has 95% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.

b) 95% of sample proportions will fall between the lower bound and the upper bound.

c) there is a 95% chance that the true value of the population proportion will fall between the lower bound and the upper bound.

d) One has 95% confidence that the sample proportion is equal to the population proportion

The system of equations represented by the graph is:

y = x - 6

y + x = -2

And the solution is (2, -4), then the correct option is the first one.

On the graph, we can see a system of linear equations, we can see a line with a positive slope and a line with a negative slope.

The line with a positive slope intercepts the y-axis at y = -6, then that line is:

y = a*x - 6

with a > 0.

The other line passes through the y-axis at y = -2, then the linear equation is:

y = b*x - 2

Where b < 0.

Also, remember that the solution for the system of equations is the point where the two lines intersect, so we can see that the solution is at (2, -4)

The only option that meets all the criteria is the first option:

y = x - 6

x + y = -2

And the solution is (2, -4)

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The true statement is B.

The function will have at least one zero on the interval -5 < x < 4

Here we have a polynomial function g(x), and we know that it passes through two known points (-5, 6) and (4, -3).

Remember that a relation is only a function if each point on its domain is mapped into a single point in the range.

Also, this is a polynomial function, so it is continuous, then there are no jumps.

So, at some point in that interval x ∈ (-5, 4), we must have a zero for our function, where a zero is a value of x such that:

g(x)=  0

Then the correct statement is B, g(x) has at least one zero i the given interval.

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Answer:

Lauren would've drove/traveled 870 miles.

Step-by-step explanation:

First, you'd have to find the initial amount of miles she drove before she reached 232 miles.

The equation would be 232/4. That will equal 58 miles.

Then you'd multiply 58*15 and you'd get 870 miles.

I hope I've helped!

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies a=\sqrt{c^2 - o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{18}\\ a=\stackrel{adjacent}{x}\\ o=\stackrel{opposite}{12} \end{cases} \\\\\\ x=\sqrt{ 18^2 - 12^2}\implies x=\sqrt{ 324 - 144 } \implies x=\sqrt{ 180 }\implies x\approx 13.4\)

The missing side of a right-angled triangle, assuming it to be the hypotenuse with other sides as 12 and 18, can be calculated using the Pythagorean theorem. The square root of the sum of 12^2 and 18^2 gives the length of the hypotenuse, which is approximately 21.6 when rounded to the nearest tenth.

This question relates to the Pythagorean theorem which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be written as: a² + b² = c².

Assuming that the missing side in your question (x) is the hypotenuse and the other two sides are 12 and 18, you can calculate it using the aforementioned theorem. Therefore, you find x by calculating the square root of (12² + 18²), or √(144 + 324) which equals to √468. This value, rounded to the nearest tenth, is 21.6.

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Answer:

a= 2 and b= 8

Step-by-step explanation:

a=5/9×18=10

b=4/9×18=8, then a-b=10-8=2

b=4/9×18=8

Answer:A.The triangles are similar but not congruent

Step-by-step explanation:

In a congruent traingle:

the both triangles are same in shape and size

There are five theorems to see if the triangles are congruent

and neither particularly applies here

sss: the sides are not equal

as none of the sides are equal, then despite the angles, congruence is not possible

However it is evident that one of the triangles is proportionally bigger than the other but similar. Hence A is correct.

Step-by-step explanation:

La edad actual de José es de 30 años.

Para resolver este problema, primero debemos establecer ecuaciones basadas en la información proporcionada. Llamemos "x" a la edad actual de José y "y" a la edad actual de Ana. Según la primera condición, la edad de Ana es la mitad de la edad de José, por lo que podemos escribir la ecuación: y = (1/2)x.

La segunda condición nos dice que dentro de 10 años, sus edades serán dos tercios de sus edades actuales. Esto se puede expresar como: (x + 10) * (2/3) = y + 10.

Reemplazando el valor de y en la segunda ecuación con la primera ecuación, obtenemos: (x + 10) * (2/3) = (1/2)x + 10.

Resolviendo esta ecuación, podemos simplificarla y llegar a: 2(x + 10) = 3[(1/2)x + 10].

Al resolver la ecuación resultante, encontramos que x = 30.

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Answer:

a

\(0.0028  < p_1 - p_2  < 0.0288\)

b

The  interval means that there is 90% confidence that the true difference between the proportion of Vioxx users who suffered from heart attack  and the non-Vioxx users (the placebo group  ) who suffered from heart attack  lie within the interval

The  use of Vioxx drug should be stopped

Step-by-step explanation:

From the question we are told that

   The sample size for Vioxx users is  \(n_1 = 3025\)

   The second sample size for placebo is  \(n_2 =  2875\)

   The number of Vioxx users that suffered heart attack is  \(k  = 334\)

     The number of non-Vioxx users that suffered heart attack is  \(g  = 272\)

    Generally the  sample proportion for Vioxx users is mathematically represented as

      \(\r p_1 =  \frac{k}{n_1}\)

=>   \(\r p_1 =  \frac{334}{3025}\)

=>   \(\r p_1 =  0.11041 \)

    Generally the  sample proportion for placebo users is mathematically represented as

       \(\r p_2 =  \frac{g}{n_2}\)

=>   \(\r p_2 =  \frac{272}{2875}\)

=>   \(\r p_2 =  0.09461 \)  

Generally the confidence level is 90% , then the level of significance is  \(\alpha =  (100-90)\%\)

=>   \(\alpha =  0.10\)

Generally the critical value of  \(\frac{\alpha }{2}\) from the normal distribution table  is  

     \(Z_{\frac{\alpha }{2} } =  1.645\)

Generally the standard error is mathematically represented as

      \(SE =  \sqrt{\frac{\r p_1 (1- \r p_1)}{n_1} + \frac{\r p_2 (1- \r p_2)}{n_2} }\)

=>  \(SE =  \sqrt{\frac{0.11041 (1- 0.11041)}{3025} + \frac{0.09461 (1-0.09461)}{2875} }\)

=>  \(SE = 0.0079\)

Generally the margin of error is mathematically represented as

    \( E=  Z_{\frac{\alpha }{2} } *  SE\)

=>  \( E=  1.645  *  0.0079\)  

=>  \( E=  0.013\)  

Generally the 90%  confidence interval is mathematically represented as

     \(0.11041 - 0.09461- 0.013 < p_1 - p_2  < 0.11041 - 0.09461+ 0.013 \)

=>       \(0.0028  < p_1 - p_2  < 0.0288\)

The  interval means that there is 90% confidence that the true difference between the proportion of Vioxx users who suffered from heart attack  and the non-Vioxx users (the placebo group  )  lie within the interval

Looking at the interval we see that proportion of Vioxx users who suffered is  more compared to  non-Vioxx users (the placebo group  )[i.e the both limit of the interval is  positive ] hence the  use of Vioxx drug should be stopped

Answer:

If the selling price of the fine grain, Italian leather purse is $577, Randy would receive 60% of the sale and Wilt would receive 40%.

Randy's share = 60% of $577 = 0.60 x $577 = $346.20

Wilt's share = 40% of $577 = 0.40 x $577 = $230.80

Therefore, Randy would receive $346.20 and Wilt would receive $230.80 from the sale of the $577 purse.

Answer:

It's a parallelogram because it has two parallel sides "a,b"+"d,c" or "a,d"+"b,c". It is connected by "a,d".

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

54/3= 18

54-18=36

36/6= 6

36-6=30

For X ≤ 15, n = 20, π = .70 ; compound event probability is approximately 0.0008 .

For X > 8, n = 11, π = .65 ; compound event probability is  approximately 0.9198.

For X ≤ 1, n = 13, π = .40 ; compound event probability is  approximately 0.6646 .

a. To calculate the probability of the event X ≤ 15, n = 20, π = .70, we will use the binomial distribution formula:

P(X ≤ 15)

=  ∑_(k=0)¹⁵〖(20Ck)(0.70)^k (0.30)^(20-k) 〗

Using a binomial distribution calculator, we can find this probability to be approximately 0.0008 (rounded to 4 decimal places).

b. To calculate the probability of the event X > 8, n = 11, π = .65, we will first find the probability of X ≤ 8, and then subtract this value from 1 to find the complement probability:

P(X > 8) = 1 - P(X ≤ 8)

= 1 - ∑_(k=0)⁸〖(11Ck)(0.65)^k (0.35)^(11-k)〗

Using a binomial distribution calculator, we can find the probability of X ≤ 8 to be approximately 0.0802.

Therefore, the probability of X > 8 is approximately 0.9198 (rounded to 4 decimal places).

c. To calculate the probability of the event X ≤ 1, n = 13, π = .40, we will use the binomial distribution formula:

P(X ≤ 1)

= ∑_(k=0)¹〖(13Ck)(0.40)^k (0.60)^(13-k)〗

Using a binomial distribution calculator, we can find this probability to be approximately 0.6646 (rounded to 4 decimal places).

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The average income per household that is causing an increase in both the number of cars owned and the average number of citizens with health insurance.

The correlation of variables is the statistical relationship between two variables.

A correlation is positive if both variables move in the same direction and negative if the variables move in different directions - as one variable increases, the other decreases.

Correlation does not imply causation: This means that one can not legitimately associate a cause-and-effect relationship between the two variables.

In this example, it cannot be legitimately shown that increasing the number of cars per household would cause members of the community members to purchase health insurance, but when we bring in the lurking variable.

which is the increase in average income per household, we can see that this possibility might cause more people to buy more health insurance even after they have purchased cars, because they have more money to spend.

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(a) The maximum combination of X and Y is (10, 15).

(b). The new maximum combination of X and Y is (12, 18).

(c). The new maximum combination of X and Y is (20, 15).

To draw the budget line, we need to determine the different combinations of goods X and Y that can be bought within the given budget.

The budget line represents all the possible combinations of X and Y that can be purchased with G¢60.

Let's assume the quantity of good X is represented on the x-axis and the quantity of good Y is represented on the y-axis.

The combinations, we can start with the maximum quantity of each good that can be purchased with the given budget.

Given that the price of X is GH¢6 and the price of Y is GH¢4, we can calculate:

Maximum quantity of X = G¢60 / GH¢6 = 10

Maximum quantity of Y = G¢60 / GH¢4 = 15

Now, we can plot the budget line connecting this point with the origin (0, 0).

The budget line represents all the combinations of X and Y that can be purchased with G¢60.

    |

 15 +---------------------

    |

    |

    |

 10 +          /

    |         /

    |        /

    |       /

  Y |      /

    |     /

  5 +    /

    |   /

    |  /

    | /

  0 +-----------------------

    0    5     10     15    X

(b) If the budget is increased by 20%, the new budget will be 120% of the original budget.

New budget = 120% of G¢60 = 1.2 × G¢60

= G¢72

To draw the new budget line, we repeat the steps from part (a) using the new budget of G¢72.

Maximum quantity of X = G¢72 / GH¢6 = 12

Maximum quantity of Y = G¢72 / GH¢4 = 18

Plotting the new budget line:

    |

 18 +---------------------

    |

    |

    |

 12 +          /

    |         /

    |        /

    |       /

  Y |      /

    |     /

  6 +    /

    |   /

    |  /

    | /

  0 +-----------------------

    0    6     12     18    X

(c) If the price of X is halved, the new price of X will be GH¢6 / 2 = GH¢3.

To draw the new budget line, we keep the budget and the price of Y the same as in the original scenario.

Only the price of X changes.

Maximum quantity of X = G¢60 / GH¢3 = 20

Maximum quantity of Y = G¢60 / GH¢4 = 15

Plotting the new budget line:

    |

 15 +---------------------

    |

    |

    |

 20 +          /

    |         /

    |        /

    |       /

  Y |      /

    |     /

  5 +    /

    |   /

    |  /

    | /

  0 +-----------------------

    0    5     10     15    X

Note that the slope of the budget line changes in both cases, reflecting the changes in the budget and the price of X.

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To Prove :

a×(b+c) = a×b + a×c

Solution :

Solving L.H.S. we get :

\(a(b+c ) = \dfrac{1}{3}( \dfrac{1}{5}-\dfrac{2}{3})\\\\= -\dfrac{7}{45}\)

Solving R.H.S. we get :

\(a\times b + a\times c = \dfrac{1}{3}\times \dfrac{1}{5} + \dfrac{1}{3}\times (-\dfrac{2}{3})\\\\= -\dfrac{7}{45}\)

Since, L.H.S = R.H.S

Therefore, the given equation is correct.

The surface area of the sphere is 1810 cm²

A sphere is a three-dimensional object that is round in shape. Examples of object with spherical shape is a ball, an egg e.t.c.

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface area of sphere is expressed as;

A = 4πr². where r is the radius.

A = 4 × 3.14 × 12²

A = 1809.7 cm²

approximately to the nearest whole number

A = 1810 cm²

Therefore the surface area of the sphere to the nearest whole number is 1810 cm².

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Answer:

2x + 3y = 6

Step-by-step explanation:

Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=\(\frac{550}{c}\)

csin8°=550

c=550/sin8°

c= 3,952

Answer:

7.8%

Step-by-step explanation:

Answer:

The percentage of increase is 37%

Step-by-step explanation:

The way to find the percentage of increase is to divide The difference between the two numbers by the number before the increase

7.8 - 5.7 = 2.1

The difference between 7.8 and 5.7 is 2.1

So now we divided 2.1 by the number before the increase, in this case, 5.7

2.1 ÷ 5.7 = 0.3684

0.3684 rounded to the nearest hundredth is 0.37

Thus the percentage of increase is 37%

Answer:

the value of x is : 40°

Step-by-step explanation:

We have 60° = ABC

So 180 - ( 80 + 60 ) = 180 - 140 = 40°

Answer: 7.9

Step-by-step explanation:

\(P=2000, r=0.09, n=2\\\\4000=2000\left(1+\frac{0.09}{2} \right)^{2t}\\\\4000=2000(1.045)^{2t}\\\\2=1.045^{2t}\\\\\log_{1.045} 2=2t\\\\t=\frac{\log_{1.045} 2}{2}\\\\t \approx 7.9\)

Answer:

See below

Step-by-step explanation:

For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.

Answer:

sin( 3pi/4 ) = -√2/2

So, B.

By solving a linear equation for the concentration we will see that the guy needs to use 18 ounces.

We know that the guy used 10 ounces of 6% solution with x ounces of a 12% solution to make a 8% solution, then we can write the concentration equation:

0.06*12 + 0.12*x = (12 + x)*0.08

So we just need to solve a linear equation for x.

0.06*12 + 0.12*x = (12 + x)*0.08

0.06*12 + 0.12*x = 12*0.08 + x*0.08

0.12*x - 0.08*x = 12*0.08 - 0.06*12

0.04*x = 0.06*12

x = 0.06*12/0.04 = 18

Which means that the guy needs to use 18 ounces of the 12% substance.

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The graph of the function y = 1/3x - 2 is added as an attachment

From the question, we have the following parameters that can be used in our computation:

So, the equation is

y = 1/3x - 2

The above function is a linear function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking note of the above transformations rules

The graph of the function is added as an attachment

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