32% adults favor the use of unmanned drones by police agencies. Twelve u.s. adults are randomly selected. Find the probability that the number of u.s. adults who favor the use of unmanned drones by police agencies is (a) exactly three, (b) at least four, (c) less than eight

Answers

Answer 1

Answer:

C

Step-by-step explanation:

32% of 12 =

32/100 x 12

= 3.84

So, C would be the correct choice

I wasn't sure about my answer so used the Gauthmath App


Related Questions

Tìm x không âm biết √x =3

Answers

Answer:

x=9

Step-by-step explanation:

[tex]\sqrt{x}[/tex]=3

[tex]\sqrt{x}[/tex]^2=3^2

x=9

If the cost, C, for manufacturing x units of a certain product is given by c=x^2-5x+65, find the number of units manufactured at a cost of 13,865.

Answers

9514 1404 393

Answer:

  120

Step-by-step explanation:

I find it pretty easy to obtain the solution by graphing ...

  c(x) -13865 = 0

The positive value of x that makes this so is x = 120.

120 units will have a cost of 13,865 to manufacture.

__

If you like to solve this algebraically, you can probably do it most easily by completing the square.

  x^2 -5x = -65 +13865

  x^2 -5x +6.25 = 13806.25 . . . . . add the square of (-5/2)

  (x -2.5)² = 13806.25

  x -2.5 = √13806.25 = 117.5 . . . . only the positive square root is interesting

  x = 117.5 +2.5 = 120

On her summer abroad in France, Jane bought a pair of shoes for 54.82 euros. The store owner only had francs to give her as change. She gave him 55 euros. How much did he give her back in francs

Answers

Answer:

0.19

Step-by-step explanation:

Jane bought a shoe for 54.82 euros

She gave the store owner 55 euros

= 55-54.82

= 0.18 euros to franc

= 0.18× 1.08222

= 0.19 franc

find the value of X in each figure below​

Answers

Answer:

168).  C

169).  C

170).  C

Step-by-step explanation:

For the first angle, it is a right angle, so it measures 90 degrees.

x and 50 are complementary angles, meaning they add up to 90 degrees.

So, subtract 50 from 90 to get 40, which is equal to x.

45 and x are supplementary angles, meaning they add up to 180 degrees.

Subtract 45 from 180 to get 35 degrees, which is the measure of angle x.

All angles in a triangle add up to 180 degrees.

So, 70 + 56 = 126, 180 - 126 = 54.

Since the unknown angle is x - 5, 54 + 5 = 59, which the the measure of angle x - 5.

Consider the initial value problem
y' + 6y = {0 if 0 < or equal to t < or equal to 2
12 if 2 < or equal to t < or equal to 6
0 if 6 < or equal to t < or equal to infinity}
a. Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transform of y(t) by Y(s). Do not move any terms from one side of the equation to the other (until you get to part (b) below).
b. Solve your equation for Y(s).
c. Take the inverse Laplace transform of both sides of the previous equation to solve for y(t).

Answers

y' + 6y = f(t)

where

[tex]f(t)=\begin{cases}0&\text{if }0\le t\le2\\12&\text{if }2<t\le6\\0&\text{if }6<t<\infty\end{cases}[/tex]

You can write f(t) in terms of the unit step (i.e. Heaviside theta) function u(t), which is defined as

[tex]u(t)=\begin{cases}0&\text{if }t<0\\1&\text{if }t\ge0\end{cases}[/tex]

Then the DE is written as

y' + 6y = 12 u (t - 2) - 12 u (t - 6)

(a) Take the Laplace transform of both sides:

LT[y' + 6y] = LT[12 u (t - 2) - 12 u (t - 6)]

s Y - y (0) + 6Y = 12 (exp(-2s) - exp(-6s))/s

(b) Solve for Y :

(s + 6) Y = 12 (exp(-2s) - exp(-6s))/s + y (0)

Y = 12 (exp(-2s) - exp(-6s))/(s (s + 6)) + y (0)/(s + 6)

(c) Take the inverse transform:

LT⁻¹ [Y] = LT⁻¹[12 (exp(-2s) - exp(-6s))/(s (s + 6)) + y (0)/(s + 6)]

y = 12 LT⁻¹ [(exp(-2s) - exp(-6s))/(s (s + 6))] + y (0) LT⁻¹ [1/(s + 6)]

y = 12 u (t - 2) LT⁻¹ [1/(s (s + 6))] - 12 u (t - 6) LT⁻¹ [1/(s (s + 6))] + y (0) exp(-6t )

For the remaining inverse transform, break up into partial fractions:

1/(s (s + 6)) = a/s + b/(s + 6)

1 = a (s + 6) + bs

1 = (a + b) s + 6a

==>   6a = 1, a + b = 0   ==>   a = 1/6, b = -1/6

y = 2 u (t - 2) LT⁻¹ [1/s - 1/(s + 6)] - 2 u (t - 6) LT⁻¹ [1/s - 1/(s + 6)] + y (0) exp(-6t )

y = 2 u (t - 2) (1 - exp(-6t )) - 2 u (t - 6) (1 - exp(-6t )) + y (0) exp(-6t )

PLEASE HELP WILL MARK BRAINLIEST! Also please explain the answer

Answers

Answer:

Each triangle is a right triangle.

Step-by-step explanation:

You can see each one has one 90 degree corner.

Answer:

13. True

14. True

15. False

Step-by-step explanation:

By using the Pythagorean Theorem a^2+b^2=c^2, you can evaluate whether or not the triangles are right triangles.

13. 8^2+15^2=17^2   ->  64+225=289  -> TRUE

14. 50^2+120^2=130^2  -> 2500+14400=16900  -> TRUE

15. 12^2+35^2=36^2  -> 144+1225 =/=1296 -> FALSE

A line with a slope of 4 passes through the point (2, 3) . What is its equation in slope -intercept form?

Answers

y = 4x - 5, the y intercept is -5

Answer:

y=4x-5

Step-by-step explanation:

Slope-intercept form is y=mx+b where m is the slope and b is the y intercept.

Plug in what you know to solve for b.

3 = 4(2) + b

3 = 8 + b

3-8 = b

b = -5

now put b and m back into the slope- int form.

y = 4x-5

Which answer explains the correct way to move the decimal to find the quotient of 14.6 ÷ 10,000?

three places to the right.
three places to the left.
four places to the left.
four places to the right

Answers

Answer:

Four places to the left.

Step-by-step explanation:

14.6/10000

=> 1.46/1000 [Shifted 1 decimal place after dividing by 10]

=> 0.146/100 [Shifted 1 decimal place after dividing by 10]

=> 0.0146/10 [Shifted 1 decimal place after dividing by 10]

=> 0.00146   [Shifted 1 decimal place after dividing by 10]

Number of decimal places = 1+1+1+1=4

Four places to the left.

Compute how many 7-digit numbers can be made from the digits 1, 2, 3, 4, 5, 6, 7 if there is no repetition and the odd digits must appear in an unbroken sequence. (Examples: 3571264 or 2413576 or 2467531, etc., but not 7234615.)

Answers

Answer:

Number of 7-digit numbers that can be made from the digit is 576

Step-by-step explanation:

Given the data in the question;

digits ⇒ 1, 2, 3, 4, 5, 6, 7

Number of odd numbers in the given digits = 4

Number of even numbers in the given digits = 3

now, we take the odd digits as a single unit.

so, number of ways the odd digits can be arranged with the unit will be 4!.

Now, lets consider the unit of 4 odd digits with 3 even digits.

there are 4 units.

so the number of possible arrangements of these 4 units = 4!

hence, Number of 7-digit numbers that can be made from the digits will be;

⇒ Number of possible arrangements of 4 units × Number of ways in which the odd digits can be arranged within the unit.

⇒ 4! × 4!

576

Therefore, Number of 7-digit numbers that can be made from the digit is 576

Simplify and express the following as a rational number
[tex]( \frac { - 4 } { 3 } ) ^ { 8 } \div ( \frac { - 4 } { 3 } ) ^ { 12 }[/tex]

Answers

Answer:

81/256

Step-by-step explanation:

(-4/3)^8 divide (-4/3)^12

= (-4/3)^8-12

= (-4/3)^-4

= (3/-4)^4

=81/256

Answer:

The answer is 81/256

Step-by-step explanation:

If my saving x$ grows 10% every year how much will I have in:
1 year
2 year
5 year

Answers

Answer:

[tex]1.1x, 1.21x, 1.61051x[/tex]

Step-by-step explanation:

If you saving grows [tex]10 \%[/tex] every year, then your saving is [tex]1.1\\[/tex] times your saving from last year. Therefore, after one year, you will have [tex]1.1x\\[/tex], then after [tex]2[/tex] years, you will have [tex](1.1)^2 \cdot x=1.21x[/tex], then after [tex]5[/tex] years, you will have [tex](1.1)^5 \cdot x = 1.61051x[/tex].

Answer:

$1.1x, $1.21x, $1.61x

Step-by-step explanation:

If IC Rs 100 is equal to Rs 160 NC, convert IC Rs 150 into NC rupees.​

Answers

Answer:

240 NC rupees.

The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing (in mm3/s) when the diameter is 40 mm

Answers

9514 1404 393

Answer:

  8000π mm^3/s ≈ 25,133 mm^3/s

Step-by-step explanation:

The rate of change of volume is found by differentiating the volume formula with respect to time.

  V = 4/3πr^3

  V' = 4πr^2·r'

For the given numbers, this is ...

  V' = 4π(20 mm)^2·(5 mm/s) = 8000π mm^3/s ≈ 25,133 mm^3/s

_____

Additional comment

By comparing the derivative to the area formula for a sphere, you see that the rate of change of volume is the product of the area and the rate of change of radius. This sort of relationship will be seen for a number of different shapes.

What is 5% of 483759????

Answers

Step-by-step explanation:

5% of 483759 is 24187.95

Answer: The answer is 24,187.95

Step-by-step explanation:

483759 Multiplied by 0.05 = 24,187.95

classmate Date 8) Solve the word problems a) If 576 balls are arranged in equal number of rows and columns, find the numbers of rows.​

Answers

Answer:

24

Step-by-step explanation:

The number of rows (x) should b equal to the number of columns (x).

x²=576

x=√576 taking the square root of the product

x=24

what is 2 1/2 divided by 1/3 {pls hurry the teacher is not letting us use brainly}

Answers

Answer:

7 1/2

Step-by-step explanation:

2 1/2 ÷ 1/3

Change to an improper fraction

(2*1+2)/2 ÷ 1/3

5/2 ÷1/3

Copy dot flip

5/2 * 3/1

15/2

Change to a mixed number

7 1/2

50 POINTS PLEASE HELP ME

Answers

Hello!

f(g(x)) = 4 - 2 × (3x²) <=>

<=> f(g(x)) = 4 - 6x²

Answer: B. f(g(x)) = 4 - 6x²

Good luck! :)

Let we find the composition,

→ f(g(x)) = 4 (-2 × 3x²)

→ f(g(x)) = 4 -6x²

Hence, option (B) is the answer.

IBM issued 30-year bonds with an annual simple interest rate of 6.22%. Find the semiannual interest payment on a$5,000 bond.

Answers

9514 1404 393

Answer:

  $155.50

Step-by-step explanation:

The interest is given by the formula ...

  I = Prt

where P is the principal earning interest at annual rate r for t years. The interest period here is 1/2 year.

  I = $5000×0.0622×1/2 = $155.50

The semiannual interest payment is $155.50 on this bond.

Polynomial: 3x^4 + 5x - 4; Divisor: x - 1​

Answers

Answer:

3x³+3x²+3x+8+[tex]\frac{4}{x-1}[/tex]

Step-by-step explanation:

You can use synthetic division for this problem since the divisor is in (x-a) form. The fraction is the remainder over the divisor.

It costs $7.45 for 2.5 pounds of round steak. What is the unit rate?

A.$9.95 per pound
B.$18.63 per pound
C.$2.50 per pound
D.$2.98 per pound

Answers

Answer:

D.

Step-by-step explanation:

Since the unit rate is in dollars per pound, we divide the cost (in dollars) by the weight (in pounds.)

($7.45)/(2.5 lb) = $2.98 per pound

Answer: D.

Answer is D
I’m 100% sure it is

four consecutive numbers have a sum of –30. What number is x?

Answers

Answer:

- 9

Step-by-step explanation:

Let the four consecutive numbers be x, x + 1,

x + 2 and x + 3.

x + x + 1 + x + 2 + x + 3 = - 30

x + x + x + x + 1 + 2 + 3 = - 30

4x + 6 = - 30

4x = - 30 - 6

4x = - 36

x = - 36 / 4

x = - 9

Since lim n→ infinity (.............) = ...........

Answers

Notice that

[tex]\dfrac{4n+1}{8n+2}=\dfrac{4n+1}{2(4n+1)}=\dfrac12[/tex]

So by the root test,

[tex]\displaystyle\lim_{n\to\infty}\sqrt[n]{\left|\left(\frac12\right)^{2n}\right|} = \frac14 < 1[/tex]

and so the series converges (absolutely).

The Science Club arranged a trip to Smithsonian. Only 2/3 of the members were able to attend, which left one seat empty on the 25-passenger bus. How many members does the Science Club have?

Answers

Answer:

36 members

Step-by-step explanation:

Let x = the number of science club members

There are 24 people on the bus (1 seat empty on the 25 seat bus)

2/3 of the club attended and that equals 24 people on the bus

2/3x = 24

Multiply each side by 3/2

3/2 * 2/3x = 24 * 3/2

x = 36

The product of two numbers is 60 and thei r sum is it, find the Numbers​

Answers

2*30
Im not sure but i tried it

Marilyn is retiring and wants to set up a 25-year annuity with 140 000 of her savings . The annuity earns 7.7 compounded monthly How much will Marilyn receive every month ?

Answers

Answer:

marilyn isrestiring and wants to set up a 25-year annuity earns 7.

In the picture below, which lines are lines of symmetry for the figure?
A. 1 and 3
B. only 3
C. 2
D. 1, 2, and 3

Answers

A line of symmetry would separate a shape to make multiple shapes that are exactly the same.

The answer is C.2

what fraction of 3 weeks is 18 days?

Answers

Answer:

18/21

Step-by-step explanation:

1 week is 7 days

3 weeks is 21 days

so the answer is 18/21

1/2 sin x sin (2x) + Cos 3 x

Answers

Answer:

1.047734151

Step-by-step explanation:

Type into calculator

1/2sin(2x)+cos(3x)

The diameter of a sphere is 4 centimeters. Which represents the volume of the sphere?

A) 32/3π cm^3

B) 8π cm^3

C) 64/3π cm^3

D) 16π cm^3

Answers

Answer:

32[tex]\pi[/tex]/3 cm³

Step-by-step explanation:

If the diameter is 4 cm, then the radius is 2 cm.

Use the sphere volume formula:

V = 4/3[tex]\pi[/tex]r³

Plug in the radius and solve:

V = 4/3[tex]\pi[/tex](2)³

V = 4/3[tex]\pi[/tex](8)

V = 32[tex]\pi[/tex]/3

So, the volume of the sphere is 32[tex]\pi[/tex]/3 cm³

I need two examples of rounding to the thousandths place. SHOW ALL WORK!

Answers

Answer:

3.418

Step-by-step explanation:

3.4175

3.4178

u round if the number behind it is higher than 5

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