Alison has been hired to sell two different homes on the same street that two houses apart. She predicts that Home A has a 75% chance in selling on the first week of being listed, whereas Home B is in lesser condition and has a 30% probability. There is also a 20% chance both homes will not sell on the first week of it being listed. What is the probability that house A does not sell given that house B does not sell due to it's poor condition

The measure of Angle C is approximately 26°.

A, B, C are vertices of a triangle, where AB = 8 cm, BC = 6 cm. To determine the measure of angle C, we need to use the cosine rule.

The cosine rule states that the square of one side of a triangle is equal to the sum of the squares of the other two sides minus twice the product of the other two sides and the cosine of the angle between them.

Mathematically, we can represent it as follows:a² = b² + c² - 2bc cos(A)where a is the side opposite to angle A, b is the side opposite to angle B, c is the side opposite to angle C.

In this case, we have AB = c = 8 cm, BC = a = 6 cm, and AC = b. We need to find the measure of angle C, which is represented as cos(C).

Using the cosine rule, we can write the equation as follows:$$\begin{aligned} b^2 &= c^2 + a^2 - 2ca\cos(C) \\ \Right arrow b^2 &= 8^2 + 6^2 - 2 \times 8 \times 6 \cos(C) \\ \Right arrow b^2 &= 64 + 36 - 96 \cos(C) \\ \Right arrow b^2 &= 100 - 96 \cos(C) \end{aligned}$$We know that b is a positive length. Hence, b² > 0 or 100 - 96 cos(C) > 0. Solving for cos(C),  

we get: cos(C) < 100/96cos(C) < 1.0417Using a calculator, we can determine the inverse cosine of 1.0417 as:cos⁻¹(1.0417) = 0.4569 radians = 26.201° (rounded to the nearest degree)

Therefore, the measure of angle C is approximately 26°.

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Answer:

An acute angle

Step-by-step explanation:

An acute angle is smaller than an obtuse ad right angle.

hope this helps and hope it was right 'cause I really don't know what you meant. :)

Answer:

The company charged $500 for its services,and Mia gives the movers a 16% tip. Now, we can add the tip amount to the cost of the service to find the total amount Mia paid: Total amount = Cost of service + Tip amount = $500 + $80 = $580

Step-by-step explanation:

Answer:

The two triangles are related by Angle-Angle-Side (AAS), so the triangles are congruent.

Answer:

8 significant figures should be provided.

Step-by-step explanation:

I believe I am correct, but check your answer anyways.

a)The value of  ∠b=64°.

b)The values of angles q, r, s, t are ∠q= 65°, ∠r=65°, ∠s=50°, ∠t=65°.

c)The value of  ∠B=72 degrees.

The same-side interior angles are additional if a transversal connects two parallel lines. Alternate interior angles are equivalent if a transversal connects two parallel lines. Corresponding angles are equal.

a) Given line PQ is parallel to ST.

   One of the theorems of parallel lines is, Corresponding angles are equal.

Here the corresponding angles are ∠a, ∠b.

so, ∠a=∠b

∴∠b=64°

b) It is given that lines B and C are parallel, according to one of the theorems of parallel lines, vertically opposite angles are equal. So, the angle opposite to 65° is also equal to 65°. Sum of the angles suspended by a line on another line is 180°. Therefore the other angle in the triangle is 180°-130°=50°.

Since the sum of interior angles in a triangle is 180°, the angle q will be:

   ∠q= 180°-(65°+50°)

    ∠q= 65°.

Vertically opposite angles are equal, therefore ∠q=∠r=65°.

∠s=180°-(65°+65°)

∠s=50°.

Corresponding angles are equal, therefore

130°=65°+∠t

∠t=65°.

c) Given lines A, and B are parallel. We know that the Corresponding angles are equal, therefore

3m=4m-24

⇒m=24

Therefore ∠B=4(24)-24

∠B=72 degrees.

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The value of p when q is 2 is 1

Inverse variation is the relationships between variables that are represented in the form of y = k/x, where x and y are two variables and k is the constant value.

This means that has x increases y will decrease and vice versa.

If p is inversely proportional to q , then p = kq

when p = 2, q = 4

2 = k4

k = 2/4

k = 1/2

When q = 2

p = 1/2 × 2

p = 1

Therefore the value of p is 1

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Answer:

20) 8 years

21) Tori could paint the room alone for 3 hours, Sydney could paint the room alone for 5 hours.

Step-by-step explanation:

A = P ( 1 + r/n ) ^ nt.

8000 = 5000 ( 1 + 6%/4) ^ 4t

8000 = 5000 ( 1 + 0.06/4) ^4t

8000 = 5000 ( 1 + 0.015 ) ^ 4t

8000 = 5000 ( 1.015 ) ^ 4t

8000 / 5000 = ( 4.06 / 4 ) ^ 4t

8/5 = ( 203/200 ) ^ 4t

b = aᶜ ⇔ logₐb = c

Answer:

See below

Step-by-step explanation:

√120 is irrational since it cannot be written as a fraction

√36 is rational because it can be written as 6 or -6 which are both rational

7 is rational because it can be written as a fraction (ex. 7/1, 14/2, 21/3, etc.)

10 is rational because it can be written as a fraction (ex. 10/1, 20/2, 30/3, etc.)

148 is rational because it can be written as a fraction (ex. 148/1, 296/2, 444/3, etc.)

781 is rational because it can be written as a fraction (ex. 781/1, 1562/2, 2343/3, etc.)

Answer:

( − ∞ , ∞ )

Step-by-step explanation:

Any value of  x  makes the equation true.

Answer:

it is C

Step-by-step explanation:

Answer:

$0.17 per cup

Step-by-step explanation:

Set up a proportion

$34 / 200 cups = $x / 1 cup

It is 1 cup because it asks how much each cup costs, each = 1.
Cross multiply

34 = 200x

Divide both sides by 200

x = 0.17

I hope this helped and please mark me as brainliest!

Answer:

the answer is -3.168

Step-by-step explanation:

just do it on a caculator and you get it.

Answer: x=3\(\sqrt{2\). y=3\(\sqrt{2\)

Step-by-step explanation: This is a 45-45-90 triangle. Both of the legs, x and y, are congruent. To find the length of the legs, divide 6, the hypotenuse, by \(\sqrt{2\). 6/\(\sqrt{2\)=3\(\sqrt{2\).

The height of the cylinder with radius of 7 yards and given volume of 2,923.34 cubic yards is calculated as; h = 19 yards

A cylinder is defined as a 3D solid shape that consists of two identical and parallel bases linked by a curved surface.

Now, the formula to find the volume of a cylinder is;

V = πr²h

where;

r is radius

h is height

V is volume

The parameters are;

Radius; r = 7 yards

Volume; V = 2923.34 cubic yards

Thus;

2923.34 = π * 7² * h

h = 2923.34/(49π)

h = 19 yards

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Next 3 terms of GP are 486 , 162 , 54 .

What is a Geometric Sequence?

It is a sequence in which each term is found by multiplying the preceding term by a constant value 'r' called the common ratio.

\(a_{n}\) = \(a_{1}\) \(r^{n-1}\) , where \(a_{n}\) is the nth term , \(a_{1}\) is the first term r is the common ratio and n is the no . of terms in a GP .

In given question ,

Common Ratio ie. r = 4374 / 13122 = 1458 / 4374 = 1 / 3 .

Next 3 terms will be :

486 , 162 , 54 .

Hence , next 3 terms of GP are 486 , 162 , 54 .

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The blanks that are missing in the sequence are -3 and 11

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

The blanks in the sequence

When listed out, we have

_, _, 25, 39

Assuming that the sequence, is an arithmetic sequence, then we have

Common difference = 39 - 25

Common difference = 14

This means that

Previous term = 25 - 14 = 11

Firs term = 11 - 14 = -3

So, the missing terms are -3 and 11

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Answer:

C : VALID

Step-by-step explanation:

Answer:

A and D

Step-by-step explanation:

Given that the area of a square = 400 units² = s²

Where s is one side length of the square.

It means that the side length (s) = √400 = 20

If the length of each side length increase by 1 units, new side length = 21 units

Area of new square = 21² = 441

The following statements would be true if the side length was increased by 1 units:

A. "The area of the square would be a rational number"

441 is a rational number, because a rational number is a quotient of two integers.

441 and 1 are two integers. Their quotient = 441. I.e. 441 ÷ 1 = 441

D. "The area of the square would be a perfect square".

A number is considered a perfect square if it can be expressed as a product of two equal integers.

441 can be expressed as 21*21

Answ

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

my answer is 23.49

Step-by-step explanation:

you will use sin rule

you can also find the angle for Z because angles in a triangle add up to 180

then use sin rule

25/sin 70=x/sin 62

then substitute for x

Answer:

The value is  \(P(X > 3.30) = 0.12405\)

Step-by-step explanation:

From the question we are told that

   The mean GPA is  \(\mu = 3.25\)

   The standard deviation is \(\sigma = 0.75\)

    The sample size is  n  =  300

Generally the standard error of mean is mathematically represented as

     \(\sigma_{\= x} = \frac{\sigma }{\sqrt{n} }\)

=>   \(\sigma_{\= x} = \frac{0.75}{\sqrt{300} }\)

=>   \(\sigma_{\= x} = 0.0433\)

Generally the  probability that a random sample of 300 students will have a mean GPA greater than 3.30 is mathematically represented as

     \(P(X > 3.30) = P(\frac{X - \mu}{\sigma_{\= x}} > \frac{3.30 -3.25}{ 0.0433} )\)

\(\frac{\= X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ \= X )\)

    \(P(X > 3.30) = P(Z> 1.155 )\)

From the z table the probability of  (Z >  1.155 ) is

     \(P(Z> 1.155 ) = 0.12405\)

   \(P(X > 3.30) = 0.12405\)

The probability that more than 240 flights in a random sample of 400 commercial airline flights will arrive on time is approximately 1 or 100%.

To solve this problem using a normal approximation, we need to calculate the mean (μ) and standard deviation (σ) of the binomial distribution and then use the normal distribution to approximate the probability.

Given:

Probability of an airline flight arriving on time (success): p = 0.84

Number of trials (flights): n = 400

Number of flights arriving on time (successes): x > 240

First, we calculate the mean and standard deviation of the binomial distribution using the following formulas:

Mean (μ) = n * p

Standard Deviation (σ) = √(n * p * (1 - p))

μ = 400 * 0.84 = 336

σ = √(400 * 0.84 * 0.16) = √(53.76) ≈ 7.33

Now, we can use the normal distribution to find the probability that more than 240 flights will arrive on time. Since we're interested in the probability of x > 240, we will calculate the probability of x ≥ 241 and then subtract it from 1.

To use the normal distribution, we need to standardize the value of 240:

z = (x - μ) / σ

z = (240 - 336) / 7.33

z ≈ -13.13

Now, we can find the probability using the standard normal distribution table or a calculator. Since the value of z is extremely low, we can approximate it as:

P(x > 240) ≈ P(z > -13.13)

From the standard normal distribution table or calculator, we find that P(z > -13.13) is essentially 1 (close to 100%).

Therefore, the probability that more than 240 flights in a random sample of 400 commercial airline flights will arrive on time is approximately 1 or 100%.

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Answer: y=3

Step-by-step explanation:

the initial statement is

y

∝

1

x

to convert to an equation multiply by k the constant

of variation

⇒

y

=

k

×

1

x

=

k

x

to find k use the given condition

y

=

15

when

x

=

5

y=kx⇒k=y x=15×5=75

equation is

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

∣

∣

∣22y=75x22∣∣

when x=25 then

y=75 25=3

Step-by-step explanation:

I hope understand this

Answer:

I believe C is the closest equation to the graph

Step-by-step explanation:

The speed of the plane is equal to 120 mph.

In Mathematics and Geometry, speed is the distance covered by a physical object per unit of time. This ultimately implies that, speed can be measured by using miles per hour (mph).

Mathematically, the speed of any a physical object can be calculated by using this formula;

Speed = distance/time

Time = distance/speed

Let the variable s represent the speed of the plane in miles per hour. Therefore, an equation that models the situation can be written as follows;

240/s = 80/s - 80

80s = 240s - 19200

19200 = 160s

s = 19200/160

s = 120 mph.

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Answer:

3/12 or simplified is 1/4

Step-by-step explanation:

I think its right! sorry if im wrong

Answer: 3/12

Step-by-step explanation:

Answer:

There you are, hope this helps.

The required graph of the equation has been shown,

To draw the graph of the given equaiton,
1. y = 2x - 3     2. y = -2x + 3        3. y = 2x + 3          4. y = -2x - 3

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Here,
1. y = 2x - 3

The slope is m = 2 and has a negative y-intercept of -3

2. y = -2x + 3
The slope is m = -2 and has a y-intercept of 3

3. y = 2x + 3
The slope is m = 2 and has a y-intercept of 3        

4. y = -2x - 3

The slope is m = -2 and has a y-intercept of -3  

Thus, the required graph of the equation has been shown,

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A=6 × + 10=88555%__/455