Donnell and Maria are both members of a populationand a simple random sample is being conducted. If the chance of Donnell being selected is 1/290 what is the chance of Maria being selected?


A. 1/29000
B. 1/290
C. 1/2900
D. 1/29

Answer:

p = 23

Step-by-step explanation:

using the rules of exponents

• \((a^m)^{n}\) = \(a^{mn}\)

• \(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)

then

\((x^3)^{5}\) (\(x^{8}\) )

= \(x^{3(5)}\) × \(x^{8}\)

= \(x^{15}\) × \(x^{8}\)

= \(x^{(15+8)}\)

= \(x^{23}\)

= \(x^{p}\) ← with p = 23

Step-by-step explanation:

speed=distance÷time

A.V.S=440÷11=40m/s

hope it helps.. Please mark brainliest.

Answer:

40 m/s

Step-by-step explanation:

Find:

We are asked to find the unit rate, How many meters per 1 second?

Know:

440 meters in 11 seconds

Solve:

440 meters in 11 seconds

  ? meters in 1 second

   440/11  = 40 meters per second

Answer:

The average speed of the person is 40 m/s

The value of the variables are as follows:

The value of the variables is given as follows:

sin 45° = 39/z

z = 39/sin 45°

sin 45° = 1/√2

z = 39 / 1/√2

z = 39√2

Let the height of the triangle be h;

cos 45 = h/39√2

cos 45 = 1/√2

h = 39√2 * 1/√2

h = 39

tan 60° = 39/y

tan 60° = √3

y = 39/√3

y = 13√3

sin 60° = 39/x

x = 39 / sin 60°

sin 60° = √3/2

x = 39 /√3/2

x = 26√3

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The second pair of points representing the solution set of the system of equations is (-6, 29).

To find the second pair of points representing the solution set of the system of equations, we need to substitute the x-coordinate of the second point into one of the equations and solve for y.

Given the system of equations:

y = x^2 - 2x - 19

y + 4x = 5

Substituting the x-coordinate of the second point (-6) into equation 2:

y + 4(-6) = 5

y - 24 = 5

y = 5 + 24

y = 29

Therefore, the second pair of points representing the solution set of the system of equations is (-6, 29).

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Question

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

y = x2 − 2x − 19

y + 4x = 5

The pair of points representing the solution set of this system of equations is (-6, 29) and

_________.

Answer:

2x - 3 = 11

x = -21

Step-by-step explanation:

Answer:

h(0) = -2

x = 3

Step-by-step explanation:

Line is intersecting x and y axes at points (1, 0) & (0, -2)

Slope of line (m) = (-2 - 0)/(0 - 1) = -2/(-1) = 2

y - intercept (b) = -2

Equation of line in slope-intercept form is given as:

y = mx + b

plugging the values of m and b in the above equation, we find:

y = 2x + (-2)

y = 2x - 2

Replacing y by h(x), we find:

h(x) = 2x - 2 (This is the required function)

Plug x = 0 in the function, this gives:

h(0) = 2(0) - 2

h(0) = 0 - 2

h(0) = -2

Plug h(x) = 4

4 = 2x - 2

4 + 2 = 2x

6 = 2x

x = 6/2

x = 3

Answer:

72.017

Step-by-step explanation:

Rounded to the nearest hundredths: 72.02

Answer:

72.017

Rounded: 72.02

Step-by-step explanation:

72.017

7 is greater than 5 so you would add one to the next number

72.02

since 2 is less than 5 it can't round any farther, unless you are rounding it until it's a whole number (which obviously as asked in the question you aren't) if you were to round it to a whole number then it would be just 72.

One of the most important things to remember is that 5 or greater you add one more but 4 or less you, well you don't add anything to the next number lol

The answer to your question is 72.02 since that is how far you are able to round without going past the hundredths place.

The line m is not parallel to line n. Hence, proved.

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

Given that, line m is not parallel to line n.

Prove that, ∠1 is not congruent to ∠5 by contradiction.

A by contradiction proof starts by assuming the negative of the to prove is true, then from there logically arriving at a contradiction.

So, assume ∠1 ≅ ∠5.

Those angles are corresponding angles (definition of corresponding angles when two lines are cut by a transversal)

Therefore, line m║n (when two lines are cut by a transversal such that corresponding angles are congruent, then those lines are parallel).

This contradicts the given information that line m is not parallel to line n, so the original assumption cannot be true.

Hence, it is proved.

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Answer:

for first one

total area =l×b+1/2×b×h=6×4+1/2×2×6=30cm²

Step-by-step explanation:

for second one

total area =l×b+1/2×b×h=7×5+1/2×7×2=35+7=42m²

Answer:

42

Step-by-step explanation:

BAC=90

BAD=48

DAC=BAC- BAD

=90-48

=42

Answer: 52.1

Step-by-step explanation:

\cos F = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{x}{57}

cosF=

hypotenuse

adjacent

​

=

57

x

​

\cos 24=\frac{x}{57}

cos24=

57

x

​

57\cos 24=x

57cos24=x

Cross multiply.

x=52.0721\approx \mathbf{52.1}\text{ feet}

x=52.0721≈52.1 feet

Answer:

multiply by 10 on both sides

that is to get rid of the denominator

Option A. The statement that can be said to be true for h is h(2) = 16

If we look at the domain and range, we can rule out some straight away.

For h - 3 = -1

this is outside of the range of the such that -1 ∉ 1 ≤ hx ≤ 25

When h is 13 = 18

This is also outside of the domain such that 13 ∉ -3 ≤ x ≤ 11

When h is 8 = 21

there is going to be a contradiction with what the question has stated earlier. This is because we are told that h(8) = 19

Therefore on h(2) = 16

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Answer:

it is 34 that's the answer.

Step-by-step explanation:

Answer:

120 feet squared.

Step-by-step explanation:

If this is incorrect I apologize but I believe this is the correct answer.

Answer:

b and c

Step-by-step explanation:

Answer:

39 is the answer for this

Answer:

210 feet

Step-by-step explanation:

2 inches=70

1 inch=35

(70+35)×2=210

9514 1404 393

Answer:

Step-by-step explanation:

The sum of torques about the pivot point is zero when the system is in equilibrium. That means the total of clockwise torques is equal to the total of counterclockwise torques. For this purpose, torque can be modeled by the product of mass and its distance from the pivot. The uniform beam can be modeled as a point mass at its center.

__

a) Let E represent the location of the center of mass of the beam. So, AE = 1.5 m. Then the distance from C to E is AC-AE = AC -1.5 and the CCW torque due to the beam's mass is (16 kg)(AC -1.5 m).

The distance from B to C is 3 m - AC, so the CW torque due to the particle at B is (7 kg)(3 -AC m)

These are equal, so we have ...

  16(AC -1.5) = 7(3 -AC)

  16AC -24 = 21 -7AC . . . . . eliminate parentheses

  23AC = 45 . . . . . . . . . . . add 7AC+24

  AC = 45/23 ≈ 1.957 . . divide by the coefficient of AC

  AC ≈ 2.0 meters . . . . rounded to 1 dp

__

b) The torques in this scenario are ...

  M(0.7) = 16(0.8) +7(2.3) . . . . . . AD = 0.7 m, DE = 0.8 m, DB = 2.3 m

  M = 28.9/0.7 ≈ 41.286 . . . . simplify, divide by the coefficient of M

  M = 41.3 kg . . . . rounded to 1 dp

_____

Additional comment

Torque is actually the product of force and distance from the pivot. Here, the forces are all downward, and due to the acceleration of gravity. The gravitational constant multiplies each mass, so there is no harm in dividing the equation by that constant, leaving the sum of products of mass and distance.

I think it's 3 1/6 kilograms

Step-by-step explanation:

3 5/6 + 1 4/5 since it increased

find the LCD (Least Common Denominator)

that would be 30

3 25/30 + 1 24/30

=4 49/30

= 5 19/30

Then we do subtraction since it lost some weight

5 19/30 - 2 7/15

find LCD again

5 19/30 - 2 14/30

=3 5/30

simplify

3 1/6 kilograms. That's what I think.

Answer:

x=0

Step-by-step explanation:

Answer:

\(16203\) days

Step-by-step explanation:

There are 60 seconds per minute, so 3600 sec/hour, and 86400 seconds per day, so the answer is about \(16203\) days.

Answer:

Step-by-step explanation:

You take items out of a square root if you have a pair of numbers or if you know the square root.  

\(\sqrt{48b^{7} }\)=\(\sqrt{4*4*3*bbbbbbb}\)

So I know the \(\sqrt{4}\)=2 so i can take both out so outside the root will be 2*2 and inside the root will be 3

Now for the b's for every pair there are, you can take that out.  There are 3 pairs of b's so b³ is outside and one b is left inside.

Answer:

4b³\(\sqrt{3b}\)

Answer:

7606.62

Step-by-step explanation:

Start by finding how much you will have through the annuity. The question isn't that clear, so i will just assume it's an annuity due.

\(p(\frac{(1+i)^n-1}{i})*(1+i)\\i=.035/12= .0029166667\\n=10*12=120\\p=75 (given)\\75\frac{(1+.0029166667)^{120}-1}{.0029166667}*(1+.0029166667)= 10788.814149\\\)

Now just equate this to a time 0 payment at the same rate

\(10788.814149=(1+.0029166667)^{120}*x\\x= 7606.6228603=7606.62\)

As a quick note, if you were supposed to assume that your annuity was an annuity immediate the answer would be 7584.50.

Answer:

yessss my dear

I hope to help you

Answer: See attached.

Step-by-step explanation:

       We can look at the values given in the equation to graph it.

➜ The -3 shows the line will intercept the y-axis at -3.

➜ The equation has a slope of -4, so for everyone right we move four down.

The surface area of the triangular prism is 313.47 cm².

Given is a triangular prism, we need to find the surface area,

A triangular prism is a 3D shape with two identical faces in the shape of a triangle connected by three rectangular faces. The rectangular faces are referred to as the lateral faces, while the triangular faces are called bases. The bases are also called the top and the bottom (faces) of the prism.

Triangular Prism Meaning: A triangular prism is a 3D polyhedron with three rectangular faces and two triangular faces. The 2 triangular faces are congruent to each other, and the 3 lateral faces which are in the shape of rectangles are also congruent to each other. Thus, a triangular prism has 5 faces, 9 edges, and 6 vertices. Observe the following image of a triangular prism in which l represents the length of the prism, h represents the height of the base triangle, and b represents the bottom edge of the base triangle.

so, the surface area of a triangular prism =

perimeter × length + 2 × base area

So,

SA = (4.5+7.2+9) × 8.1 + 2 × 8.1 × 9

= 167.67 + 145.8

= 313.47

Hence the surface area of the triangular prism is 313.47 cm².

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The frame for the rectangular portrait will cost $180.00.

The rectangular portrait has a width of 1 yard and a height of 2 yards. To calculate the perimeter of the portrait, which represents the length of frame required, we can use the formula:

Perimeter = 2 * (Width + Height)

Substituting the values, we have:

Perimeter = 2 * (1 yard + 2 yards) = 2 * 3 yards = 6 yards

The cost of the frame is given as $30.00 per yard. To calculate the total cost of the frame, we multiply the length of the frame (in yards) by the cost per yard:

Frame Cost = Perimeter * Cost per yard = 6 yards * $30.00/yard = $180.00

Therefore, the frame for the rectangular portrait will cost $180.00.

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The Simplified expression 3 • (-8) + 5 - 4 ÷ 2 equals -21.

The expression 3 • (-8) + 5 - 4 ÷ 2 using the order of operations, we follow the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

First, we perform the multiplication operation:

3 • (-8) + 5 - 4 ÷ 2 = -24 + 5 - 4 ÷ 2

Next, we perform the division operation:

-24 + 5 - 4 ÷ 2 = -24 + 5 - 2

Now, we perform the addition operation:

-24 + 5 - 2 = -19 - 2

Finally, we perform the subtraction operation:

-19 - 2 = -21

Therefore, the simplified expression 3 • (-8) + 5 - 4 ÷ 2 equals -21.

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