Read each question carefully. Choose the answer that best completes the sentence.
Debt is usually expected in any of the following cases EXCEPT
O A. purchase of house
OB. credit card purchases
OC. purchase of car
O D. educational loans
nswered

The probability of drawing a green marble for Carter increased from 0.357 to 0.385 after Ginny drew her two red marbles.

The probability of drawing a green marble for Carter did change after Ginny drew her two red marbles. This is because the total number of marbles left in the bag has decreased, which affects the probability of drawing a green marble.

Before Ginny drew her marbles, the probability of drawing a green marble for Carter was

P(Carter draws green) = 10/(18+10)

= 10/28

Divide the numbers

= 0.357

After Ginny drew her two red marbles, there are now 16 red marbles and 10 green marbles left in the bag. So the probability of drawing a green marble for Carter on his turn is

P(Carter draws green) = 10/(16+10) = 10/26 = 0.385

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The value of side a and b for the given triangle is 46.68 units and 17.92 units.

A triangle's angles and side lengths are related by the law of sines, a trigonometric identity. It asserts that the ratio of the sine of one angle to the length of the side opposite that angle is constant for all three angles for any triangle with sides a, b, and c and opposing angles a, b, and c:

If a/sin(A) = b/sin(B) = c/sin(C), then

As long as at least one angle and its matching side length are known, this can be used to solve for unknown angles or side lengths in a triangle.

For the given triangle we have:

cos B = a / c

Thus, substituting the values we have:

cos 21 = a / 50

a = 46.68 units.

Now, sin B = b/50

Sin 21 = b / 50

b = 17.92 units.

Hence, the value of side a and b for the given triangles is 46.68 units and 17.92 units.

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The complete question is:

Answer:

y = 4x

Step-by-step explanation:

To find the constant of proportionality, we need to calculate the ratio of y to x for any two corresponding values in the table.

Let's choose the first set of values: x = 6, y = 24.

y/x = 24/6 = 4

So the constant of proportionality is 4.

We can check this for the other sets of values as well:

- for x = 8, y = 32: y/x = 32/8 = 4

- for x = 10, y = 40: y/x = 40/10 = 4

- for x = 12, y = 48: y/x = 48/12 = 4

In each case, the ratio of y to x is equal to 4, so the constant of proportionality is indeed 4. Therefore, the relationship between x and y is:

y = 4x

Answer:10 40

Step-by-step explanation:

By z-test the test static is 1.25.

What is z-test?

It is a statistical test to determine whether two population means are different at the time when the variances are known and the sample size is large. Also it is a hypothesis test in which the z-statistic maintains a normal distribution.

A random sample of 100 people was taken. Eighty-five of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 80%.

So from the given information we have,

sample size (n)= 100

sample proportion ( p₁) = 0.85 [ 85 of the people in the sample favored  candidate A]

So, the null hypothesis ,

H₀ : p = 0.80

The alternative hypothesis ,

Hₐ : p > 0.80

Now the test static can be determined by the formula of z-test

[tex]z= \frac{p_{1} - p }{\sqrt{\frac{p(1-p)}{n} } }[/tex]

[tex]z= \frac{0.85 - 0.80 }{\sqrt{\frac{0.80(1-0.80)}{100} } }[/tex]

[tex]z= \frac{0.05}{\sqrt{\frac{0.16}{100} } }[/tex]

z = (0.05× 10)/0.4

z= 1.25

Hence , by z-test the test static is 1.25.

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Answer:

H = 45 ½ ÷ 6 ½

Step-by-step explanation:

The formula  for the area of the base of the box is L * W.

The formula for the volume of the box is L * W * H

Therefore dividing 45 ½ (volume of box) by 6 ½ (area of base) will give you the height of the box

The volume of solid B is about 7π cubic meters, which is approximately 21.99 cubic meters when rounded to the nearest thousandth.

The volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height. Since solids A and B are similar, they have the same shape, but different sizes.

Let V₁ be the volume of solid A, and V₂ be the volume of solid B. The scale factor k from solid A to solid B is 1/4, which means that the dimensions of solid B are 1/4 of the dimensions of solid A.

We can find the radius and height of solid B by multiplying the radius and height of solid A by 1/4. Therefore, we have:

V₂ = π(r/4)²(h/4) = (π/16)rh²

We are given that V₁ = 112π cubic meters, so we can solve for rh²:

112π = πr²h

rh² = 112

Substituting into the formula for V₂, we get:

V₂ = (π/16)rh² = (π/16)(112) = 7π

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The binary representation of the number 77 ten is 1001101 two . This can be found by repeatedly dividing 77 by 2 and writing down the remainders in reverse order.

Binary representation is a system of representing numbers using only two digits, usually 0 and 1. It is used extensively in digital electronics and computer programming.

The remainder is the amount left over after dividing one number by another. It represents the part of the dividend that could not be evenly divided by the divisor.

According to the given information:

To convert the number 77 ten to base two, we need to find the binary representation of this number.

One way to do this is to repeatedly divide the number by 2 and keep track of the remainders. We continue dividing until the quotient is 0. Then, we read the remainders in reverse order to get the binary representation.

Here's how the calculation works:

Reading the remainders in reverse order gives us 1001101, which is the binary representation of 77 ten. Therefore, 77 ten = 1001101 two .

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Step-by-step explanation:

I don't know if so what we do this question but I kind of wish I can be with triangle don't ever stop and never ever disturb you

Therefore , the solution of the given problem of equation comes out to be the value of an is 12 when b is 147. Therefore, 12 is the right response.

In intricate algorithms, variable words are typically employed to demonstrate consistency between two opposing arguments. Equations are academic phrases that are used to demonstrate the equality of different academic figures. Consider the specifics of the above x + 7 suggestions. improving in this case provides b + 7 while constructing y + 7 before integrating.

Here,

The following values can be used to put up a proportion if the relationship between variables a and b is proportional:

=>  a / b = 4 / 49

The value of a when b is 147 can therefore be calculated using this ratio:

=>  a / 147 = 4 / 49

By cross-multiplying, we can isolate a:

=>  a = (4 / 49) * 147

Now that we know the value of a, we can:

=> a = 12

Therefore, the value of an is 12 when b is 147. Therefore, 12 is the right response.

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The population size of the fish species after 5 years is approximately 99.

The population size of the fish species after t years is given by the exponential function P(t)=510(0.72)^t. To find the population size, we simply need to substitute the given value of t in the equation.

For example, if we want to find the population size after 5 years, we substitute t=5 in the equation:

P(5) = 510(0.72)^5

P(5) = 510*0.1934917632

P(5) = 98.680799232

P(5) ≈ 99.

Therefore, the population size of the fish species after 5 years is approximately 99.

We can determine whether the population is growing or decaying by examining the value of the base of the exponential function, which is 0.72 in this case. Since the base is less than 1, we know that the exponential function represents exponential decay. This means that the population of the fish species in the lake is decreasing over time, and the rate of decrease is determined by the value of the base. In this case, the population is decreasing by a factor of 0.72 each year.

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Answer:

1/200×60/360=1/6÷200

a) Function f(x) = 2^x is an exponential growth function because a = 2 is greater than 0 and b = 2 is greater than 1. The graph of the function starts at (0,1) and increases rapidly as x increases.

b) Function f(x) = (1/2)^x is an exponential decay function because a = 1/2 is greater than 0 and b = 1/2 is between 0 and 1. The graph of the function starts at (0,1) and decreases rapidly as x increases.

Key features of both graphs:

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The approximate volume of the cooking pot will be;  2009.6 cubic inches.

Since volume of the cylinder is the product of the height, pie, and square of the radius.

The volume of the cylinder = [tex]\pi r^{2} h[/tex]

We know that the volume of the cylinder is  [tex]\pi r^{2} h[/tex]

Here we are given that Trevor is making soup in a cylindrical cooking pot that has a diameter of 10 inches and a height of 8 inches.

h=10 in, and r= 8 in, so

[tex]\begin{gathered} V=(3.14)(10 in)(8 in)^2 \\ V= 2009.6 in^3 \end{gathered}[/tex]

Then, the pot can hold 2009.6 cubic inches

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We can construct a shape of area 4 square meters using the four shapes square, rectangle, triangle and parallelogram.

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape.

The area of a plane figure is the area that its perimeter encloses. The amount of units in a figure determines its area. Area is measured in square units like cm² and m². Area of a shape is a two dimensional quantity.

Area of a square =  side² (a²)

Area of a triangle = 1/2 × base length × height (1/2×b×h)

Area of a rectangle = length × breadth ( l×b )

Area of a parallelogram = base length × height ( b×h)

Consider the square of side 1 m

Area = 1 × 1 = 1 m²

Now consider the triangle of base length , b = 1/2 m and height, h = 2 m

∴ Area = 1/2×1/2×2 = 1/2 m²

Once more , area of the parallelogram of side 1 m and height 2 m is given by

Area = 1×2= 2 m²

For the rectangle of length 1/2 m and breadth 1 m

Area = l × b = 1/2 × 1 = 1/2 m²

∴ Total area = 1 + 1/2 + 2 + 1/2 = 4 square meter.

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The length and width of the square picture frame are both approximately 7.08 inches. The dimensions of the picture that would fit inside the frame are approximately 6.5 inches.

In a square, the diagonal is a line segment that connects opposite corners of the square. Since a square has four congruent sides, we can use the Pythagorean theorem to find the length of the diagonal "d" in terms of the length "s" of the sides. The formula used is given by

=> d² = s² + s²

Here we have

The diagonal of the frame is 10 inches

Let's assume that the length and width of the square picture frame are both "x" inches.

Then, using the Pythagorean theorem, we can express the length of the diagonal (d) of the square picture frame in terms of "x":

=> d² = x² + x²  

Simplifying this equation, we get:

=> d² = 2x²

We know that the length of the diagonal is 10 inches, so we can write:

=> 100 = 2x²

Solving for "x", we get:

=> x² = 50

=> x = 5√2

=> x = 7.071 inches

Therefore,

The length and width of the square picture frame are both approximately 7.08 inches.

To find the dimensions of the picture that would fit inside the frame, we can simply subtract a margin of, say, 0.5 inches from each dimension to allow for the picture to fit comfortably within the frame.

So, the dimensions of the picture that would fit inside the frame are approximately 6.5 inches by 6.5 inches.

Therefore,

The length and width of the square picture frame are both approximately 7.08 inches. The dimensions of the picture that would fit inside the frame are approximately 6.5 inches.

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Answer: x = 2 and x = -2.

Step-by-step explanation:

The solutions to the equation 9x^2 = 36 can be found by first dividing both sides by 9, giving x^2 = 4. Then, taking the square root of both sides gives x = ±2. Therefore, the solutions are x = 2 and x = -2.

Answer:

Step-by-step explanation:

9x^2 = 36 | :9

x^2 = 4

x=+-2

since the formula for the area of a circle squares the radius, the area of the larger circle is always 4 or 22 multiple the tiny square

The line(s) or plane(s) that contain point N and appear to fit the description are as follows;

Line perpendicular to QR is NR.

Line parallel to QR is PN.

Line(s) skew to JN.

Plane parallel to plane LMQ is JNP.

All the pairs of angles have been identified below.

The values of x and y are shown below.

In this exercise, all of the various pairs of angles should be identified as follows;

Consecutive interior = ∠3 and ∠5.

Consecutive interior = ∠4 and ∠6.

Alternate interior = ∠3 and ∠6.

Alternate interior = ∠4 and ∠5.

Alternate exterior = ∠1 and ∠8.

Alternate exterior = ∠2 and ∠7.

Corresponding = ∠1 and ∠5.

Corresponding = ∠2 and ∠6.

Corresponding = ∠3 and ∠7.

Corresponding = ∠4 and ∠8.

Next, we would determine the values of x and y as follows;

x + 35 = 180 (sum of angles on a line)

x = 180 - 35

x = 145°

y = 35 (corresponding angles theorem).

y + 48 = 180

y = 180 - 48

y = 132°

5x - 17 = 48 (vertical angles theorem).

5x = 65

x = 13°.

2x + 58 = 180 (sum of angles on a line)

2x = 238

x = 119°.

2y = 58 (corresponding angles theorem).

y = 29°.

5y - 21 = (180 - 116)

5y = 21 + 64

y = 85/5

y = 17

6x + 32 = 116

6x = 116 - 32

x = 84/6

x = 14

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The unit price for a piece of cheese is $0.11 per pound.

To find the unit price, we need to divide the total cost by the total weight. In this case, we have 1.24 pounds of cheese that costs $11.25.

So, we can set up a proportion

1.24 pounds / $11.25 = x pounds / $1

To solve for x, we can cross-multiply

1.24 pounds * $1 = $11.25 * x pounds

1.24 = $11.25 * x

x = 1.24 / $11.25

x = 0.11

So, the unit price is $0.11 per pound.

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Answer:

Step-by-step explanation:

You want the measures of x and ∠ECB in rectangle ABCD with center point E and AE=3x+6, BD=5x+19, ∠EBA=25°.

The diagonals of a rectangle are congruent and cross at their midponts. This means the triangles they form are all isosceles.

The value of x can be found by relating the length of a half-diagonal to the length of the whole diagonal.

  2·AE = BD

  2(3x +6) = 5x +19 . . . . . . . substitute given lengths

  6x +12 = 5x +19 . . . . . eliminate parentheses

  x = 7 . . . . . . . . . . . subtract 5x+12

The value of x is 7.

Angle EBC is the complement of angle EBA, so its measure is ...

  ∠EBC = 90° -∠EBA

  ∠EBC = 90° -25° = 65°

Angle ECB is the other base angle of isosceles triangle BCE, so has the same measure as ∠EBC.

  ∠ECB = 65°

__

Additional comment

You know the corner angles of a rectangle are 90°, which is what makes angles EBA and EBC complementary.

With x = 7, AE = 27 and BD = 54. The full diagonal is double the length of the half-diagonal, as you expect.

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The value of the expression is 17/8.

Given is an expression, 7/8 - (-2+3/4) = ( ____+____) + 7/8, we need to solve it,

7/8-(-2+3/4)

= 7/8-(-8+3)/4

= 7/8 + 5/4

= 7+10 /8

= 17/8

Hence, the value of the expression is 17/8.

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Answer:

2(5)(5) + 4(5)(10) = 50 + 200 =

250 square centimeters

The solution of Circle and angle problem is the area of the Pac-Man, to the nearest tenth mm" is 131.8 mm²

A circle is a geometric shape that is defined as the set of all points in a plane that are equidistant from a fixed point called the center.

An angle is a measure of the amount of turn between two lines that share a common endpoint, called the vertex of the angle.

To find the area of the Pac-Man, we need to find the area of the sector that represents its mouth and subtract the area of the triangle formed by the two radii and the chord of the sector.

First, we need to find the length of the arc that represents the mouth of Pac-Man. The formula for the length of an arc is:

L = (θ/360) x 2πr

Where L is the length of the arc, θ is the central angle in degrees, r is the radius of the circle, and π is approximately 3.14.

Plugging in the values we have:

L = (60/360) x 2π(13)

L = 4.29 mm

Next, we can find the area of the sector that represents the mouth of Pac-Man. The formula for the area of a sector is:

A = (θ/360) x πr²

Where A is the area of the sector, θ is the central angle in degrees, and r is the radius of the circle.

Plugging in the values we have:

A = (60/360) x π(13)²

A = 141.37 mm^2

Finally, we need to find the area of the triangle formed by the two radii and the chord of the sector. We can use the formula for the area of a triangle:

A = (1/2) x base x height

The base of the triangle is the chord of the sector, which is equal to twice the radius multiplied by sin(θ/2):

base = 2r x sin(θ/2)

base = 2(13) x sin(30)

base = 13 mm

The height of the triangle is equal to half the length of the chord times cos(θ/2):

height = (1/2) x (L/2) x cos(θ/2)

height = (1/2) x (4.29/2) x cos(30)

height = 1.47 mm

Plugging in the values we have:

A = (1/2) x 13 x 1.47

A = 9.53 mm²

Therefore, the area of the Pac-Man (sector minus triangle) is approximately:

A = 141.37 - 9.53

A = 131.84 mm²

Rounded to the nearest tenth, the area of the Pac-Man is 131.8 mm²

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Answer:

3×4-8=b

Step-by-step explanation:

The total number of batteries fatima has is :

3×4= 12

She has 12 batteries but she gave her brother 8

12-8=4

And batteries represent b

So the equation is

3×4-8=b

Answer:

(x-3)^2+(y-2)^2=16

Step-by-step explanation:

The equation of a circle in standard form is (x-h)^2+(y-k)^2=r^2

So, the center is (3,2), so you have to input the opposite value.

(x-3)^2+(y-2)^2=4^2

simplify:
(x-3)^2+(y-2)^2=16

The retailer would pay $1,339.20 for 30 dozen work gloves.

One dozen is equal to 12, so 30 dozen would be equal to 360 gloves.

The wholesaler's list price for one dozen gloves is $62.

The discount given by the wholesaler is 28%

The retailer pays 100% - 28% = 72% of the list price.

The price the retailer pays for one dozen gloves is:

$62 x 0.72 = $44.64

Therefore, the price the retailer pays for 30 dozen gloves is:

$44.64 x 30 = $1,339.20

So the retailer would pay $1,339.20 for 30 dozen work gloves.

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Answer:

C.0.75

Step-by-step explanation:

the number of occurrence is 15 and the number of simulations is 20 so

P= 15/20

.75