1. The radius equals
units
2. The diameter equals
units

Answer:

B. 5 and 1/4 percent

Step-by-step explanation:

Step one:

given

principal= $2460

time= 3 and 1/2 years= 3.5 years

SI= $452

Required

The rate

Step two:

we know that

SI= PRT/100

substituting our data we have

452= 2460*R*3.5/100

452=8610R/100

cross multiply

452*100= 8610R

divide both sides by 8610

45200/8610= R

R= 5.25%

R= 5 and 1/4 percent

Answer:

The answer is "[tex]8\pi[/tex]"

Step-by-step explanation:

[tex]\to r(v,u) =(4 \cos v, 4 \sin v,u) \\\\0\leq v \leq 2\pi, \ \ 4\leq u\leq 5\\\\\to r_v= (-4 \sin v, 4 \cos v, 0)\\\\\to r_u=(0,0,1)[/tex]

[tex]\to r_v\times r_u = \left|\begin{array}{ccc}\hat{i}&\hat{j}&\hat{k}\\-4 \sin v& 4 \cos v& 0\\0&0&1\end{array}\right| \\\\[/tex]

                [tex]= (4 \cos v, -4 \sin v, 0)[/tex]

[tex]|r_v \times r_u| = \sqrt{16 \cos^2 v +16 \sin^2 v}\\\\[/tex]

             [tex]= \sqrt{16( \cos^2 v + \sin^2 v)}\\\\= \sqrt{16(1)}\\\\= \sqrt{4^2}\\\\=4[/tex]

Calculating the surface area:

[tex]=\int^{2\pi}_{0} \int^{5}_{4} 4 \ du \ dv \\\\=\int^{2\pi}_{0} 4[4]^{5}_{4} \ dv \\\\=\int^{2\pi}_{0} 4[5-4] \ dv \\\\=\int^{2\pi}_{0} 4 \ dv \\\\=4 [v]^{2\pi}_{0}\\\\= 4 \times 2\pi\\\\= 8\pi[/tex]

This question is based on the parametrization. Therefore, 8[tex]\pi[/tex] is the surface area as a double integral by using parametrization.

Given:

The portion of the cylinder [tex]x^{2} +y^{2} = 16[/tex] between the planes z=4 and z=5.

Let u=z and v=θ and use cylindrical coordinates to parameterize the surface.

We need to express the area of the surface as a double integral.by using parametrization.

According to the question,

It is given that u=z and v=[tex]\theta[/tex],

Therefore, r(v,u) = (4 Cos v,4 Sin v, u)

Range of v : 0 [tex]\leq[/tex] v [tex]\leq[/tex] 2[tex]\pi[/tex]

Range of u : 4 [tex]\leq[/tex] u [tex]\leq[/tex] 5

[tex]\rightarrow r_v= (-4 \;sin\; v,4\;cos\; v,0)\\\rightarrow r_u=(0,0,1)[/tex]

[tex]\rightarrow r_u \times r_v =\begin{bmatrix} \hat{i}& \hat{j} & \hat{k}\\ -4\; sin\;v & 4\; cos\; v & 0 \\ 0 & 0 & 1\end{bmatrix}\\\\=(4 cos v,\;-4 sin v ,0)\\\\\left | r_v \times r_u \right | = \sqrt{16cos^{2}v+16sin^2v } \\\\= \sqrt{16(cos^{2}v+sin^2v) }\\\\=\sqrt{16}\\\\=4[/tex]

Now calculating the surface area,

[tex]=\int\limits^{2\pi}_0\int\limits^5_4 4 du\; dv\\\\=\int\limits^{2\pi}_0 4[u]^5_4 dv\\\\=\int\limits^{2\pi}_0 4[5-4] dv\\\\\\=\int\limits^{2\pi}_0 4dv\\\\\\=4[v]^{2\pi}_0 = 4(2\pi-0)= 8\pi[/tex]

Therefore, 8[tex]\pi[/tex] is the surface area as a double integral by using parametrization.

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The mean variable is 2 if  a random sample of 20 people is drawn from this population from which 10% of its inhabitants suffer from colour blindness.

In Spanish:-La variable media es 2 si se extrae una muestra aleatoria de 20 personas de esta población de la que el 10% de sus habitantes sufre daltonismo.

Percentage of blind people or p = 10% or 0.10                       (English)

porcentaje de personas ciegas o p = 10% o 0.10                   (Spanish)

No. of random samples of people taken or n = 20                         (English)

No. de muestras aleatorias de personas tomadas o n = 20          (Spanish)

Now, Mean is given by n(p). so,                                       (English)

Mean = n(p)          

         = 20(0.10)

         = 2Ahora, la media viene dada por n(p). asi que,                 (Spanish)

la media = n(p)

              = 20(0.10)

             = 2

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Full and translated question

Suppose it is known that in a certain population 10% of its inhabitants suffer from colour blindness. If a random sample of 20 people is drawn from this population. the mean of the variable isa. 0.475b. 0.5c. 0.25d. 2

Answer:

A variable is a quantity that may change within the context of a mathematical problem or experiment.

Answer:

2x^2 - 6x

Step-by-step explanation:

2x(x-3)

= 2x^2 - 6x

Answer:

it is an integer.

Step-by-step explanation:

Answer:

Interger because it's a whole number and whole numbers are intergers.  Hope this helps pls give brainliest

Step-by-step explanation:

Answer:

[tex]1\ pound = \$ \frac{2}{3}[/tex]

6 pounds of kiwis cost $4

Step-by-step explanation:

Given

[tex]x = pound\ of\ kiwis[/tex]

[tex]y = price\ in\ dollars[/tex]

[tex](x,y) = (3,2)[/tex]

Solving (a): Price of 1 pound kiwi

The given parameters can be translated to be:

3 pounds costs $2

i.e.

[tex]3\ pounds = \$2[/tex]

To get the cost of 1 pound, we divide both sides by 3

[tex]\frac{3\ pounds}{3} = \frac{\$2}{3}[/tex]

[tex]1\ pound = \frac{\$2}{3}[/tex]

[tex]1\ pound = \$ \frac{2}{3}[/tex]

Solving (b): What does (6,4) represent

This can be rewritten as:

[tex](x,y) = (6,4)[/tex]

Recall that the representation is:

[tex]x = pound\ of\ kiwis[/tex]

[tex]y = price\ in\ dollars[/tex]

By comparison:

[tex]x = 6\\ y = 4\\[/tex]

So, the above can be translated to mean.

6 pounds of kiwis cost $4

Answer:

6 pounds of kiwis cost $4

Step-by-step explanation:

The best first step in solving m–2(m–4)≤3m for m will be A. Distribute -2 through the parentheses.

It should be noted that an inequality simply means a relation between the expressions that are unequal.

It should be noted that the best first step in solving m–2(m–4)≤3m for m will be to distribute -2 through the parentheses.

This is important in order to have variables of m and then solve accordingly.

In conclusion, the best option is A.

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Answer:

[tex]Cupcakes = 7[/tex]

Step-by-step explanation:

Given

[tex]Total\ Sprinkles = 134[/tex]

[tex]Sprinkle\ per\ cupcake = 18[/tex]

Required

Determine the number of cupcakes

To do this, we simply divide the total cups of sprinkle by the sprinkles per cupcake

[tex]Cupcakes = \frac{Total\ Sprinkles}{Sprinkle\ Per\ Cupcake}[/tex]

This gives:

[tex]Cupcakes = \frac{134}{18}[/tex]

[tex]Cupcakes = 7.44[/tex]

[tex]Cupcakes = 7[/tex] approximated

Hence, 7 cupcakes are needed

Answer:

Step-by-step explanation:

so the equation will be: y = 5 + 3.50x. y is the total cost, and x is the number of hours. To solve for 6 hours, just plug 6 into the equation so: y = 5 + 3.50(6) = 26. So the answer is: it costs $26.00 to rent a drill for 6 hours.

the answer its 120 hope helps you

Answer:

12

Half of 24 is 12

I hope this helps C:

Answer:

23.5

Step-by-step explanation:

i hope this is helpful :)

probability of a randomly selected bag weighing between 15.6 ounces and 16.4 ounces is 0.68269.

probability of a randomly selected bag weighing between 15.2 ounces and 16.8 ounces is 0.9545.

probability of a randomly selected bag weighing less than 14.8 ounces is 0.0013499.

The relationship between a value and a set of values' mean is described by the statistical measurement known as the Z-score. Standard deviations from the mean serve as a unit of measurement for the Z-score. A Z-score of zero means the data point's score is the same as the mean score.

Given, Given that the weights of bags of potato chips are normally distributed with an average weight of 16 ounces and a standard deviation of 0.4 ounces. thus,

μ = 16

σ = 0.4

for randomly selected bags weighing between 15.6 ounces and 16.4 ounces

x₁ = 15.6

x₂ = 16.4

Z score = ( x - μ)/σ

z₁ = (15.6 - 16) / 0.4

z₁ = -1

z₂ = (16.4 - 16)/ 0.4

z₂ = 1

From the table of normal distribution (z²)

the probability of getting the value between -1 to 1 is = 0.68269

for randomly selected bags weighing between 15.2 ounces and 16.8 ounces

x₁ = 15.2

x₂ = 16.8

Z score = ( x - μ)/σ

z₁ = (15.2 - 16) / 0.4

z₁ = -2

z₂ = (16.8 - 16)/ 0.4

z₂ = 2

From the table of normal distribution (z²)

the probability of getting the value between -2 to 2 is = 0.9545

for randomly selected bags weighing less than 14.8 ounces.

x = 14.8

Z score = ( x - μ)/σ

z = (14.8 - 16) / 0.4

z = -3

From the table of normal distribution (z²)

the probability of getting a value less than 14.8 = 0.0013499

Therefore, The probability that a randomly chosen bag will weigh between 15.6 and 16.4 ounces is 0.68269. The probability that a randomly chosen bag will weigh between 15.2 and 16.8 ounces is 0.9545. The probability that a randomly chosen bag will weigh less than 14.8 ounces is 0.0013499.

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Answer: 7 8 9 7 6 12 2 0

Step-by-step explanation:

Answer:

1) -8m +4+p

2) 10-3t

3)im not sure for the rest

Step-by-step explanation:

[tex]v=\pi r^2h[/tex]

[tex]\\3800ft^3=\pi r^2*(2.8miles), 1mile=5280ft[/tex]

[tex]3800ft^3=\pi r^214784ft\\r^2=3800ft^3/3.14*14784ft\\r^2=3800ft^3/46421.76ft\\r=\sqrt{3800/46421.76} ft\\r=0.286108656ft[/tex]

Answer:

See below

Step-by-step explanation:

Refer to the attachment.

Given:

(A ∧∼B) ∨ (A ∧ ∼C)

Solving steps:

≡A∧(∼B∨∼C). . . . . Distributive Law

≡A∧∼(B∧C). . . . . . De Morgan's Law

≡∼(∼A)∧∼(B∧C). . . . . . Double Negation Law

Hence,

(A ∧∼B) ∨ (A ∧ ∼C)≡∼(∼A)∧∼(B∧C) [Proven]

A (i think)

Step-by-step explanation:

Answer:

I believe the answer is a imaginary number... I only know the fist one I'm sorry..

Step-by-step explanation:

I think this because a rational number is a number that is real. A Whole number is one without decimals. A natural number is something that is also real. I really hope this is helpful.

Answer:

4b

Step-by-step explanation:

log(5) = b actually means that

[tex]10^b = 5[/tex]

The power of 10 is b.

So log(5⁴) means that

[tex](10^b)^4 = 5^4[/tex]

so the power of 10 is 4b.

Answer:

They are now dead

Step-by-step explanation:

Jake Paul

It should be noted that rounding off 0.586 to the nearest hundredth will be 0.59.

It should be noted that rounding to the nearest hundredth simply means the rounding of any decimal number to its nearest hundredth value.

Fyr example, it should be noted that in the decimal, hundredth means 1/100 or 0.01. For example, the rounding of 3.267 to its nearest hundredth is 3.23.

It should be noted that in this case, it should be noted that rounding off 0.586 to the nearest hundredth will be 0.59.

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Answer:

2/3+1/5=10/15+3/15=13/15

Step-by-step explanation:

Hope this helps!

Answer:

Slope: 2

y intercept: 6

Equation: y = 2x+6

The statement 'The ratio 4/7 : 8/21 has a unit rate of 3/2.' is True.

In this question, we have been given a statement 'The ratio 4/7 : 8/21 has a unit rate of 3/2.'

We need to check whether the statement is True or False.

We have been given the ratio of two fractions.

4/7 : 8/21

We know that for any non zero real numbers a, b, c, d,

a/b : c/d = a/b × d/c

So, we can write given ratio as,

4/7 : 8/21

= 4/7 × 21/8

= 3/2

In the given statement, it is mentioned that, the ratio 4/7 : 8/21 has a unit rate of 3/2.

This means, the given statement is correct.

Therefore, the statement 'The ratio 4/7 : 8/21 has a unit rate of 3/2.' is True.

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Answer:

o dont know

Step-by-step explanation: