in the loans data set in chapter 2, the homeownership variable described whether the borrower rents, has a mortgage, or owns her property. of the 10,000 borrowers, 3858 rented, 4789 had a mortgage, and 1353 owned their home.3 (a) are the outcomes rent, mortgage, and own disjoint? (b) determine the proportion of loans with value mortgage and own separately. (c) use the addition rule for disjoint outcomes to compute the probability a randomly selected loan from the data set is for someone who has a mortgage or owns her home.

5 cups=1 quart and 1 cup

1 quart=1 quart

take the cup from the top and add the 3 cups of crushed ice so that 4 cups

4 cups=1 quart

thats 3 quarts

3 quarts has 12 cups

12 cups divided by 6 is 2

each cup has 2 cups of smoothie

Division is one of the four fundamental arithmetic operations. The number of cups in each glass will be 2 cups per glass.

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that Kyle uses 5 cups of mangoes, 1 quart of yogurt, and 3 cups of crushed ice.

Now, since the yogurt quantity is given in quarts, therefore, the yogurt quantity in terms of cups is needed to be calculated.

Since 1 quart is equal to 4 cups, therefore, yogurt used by Kyle will be either 1 quart or 4 cups.

Further, the total amount of smoothies will be,

Total smoothie

= 5 cups of mangoes + 4cups of yogurt + 3 cups of crushed ice

= 12 cups

Furthermore, there are 6 large glasses, therefore, the number of cups in each glass will be,

Number of cups in each glass = Total smoothie / Number of glasses

                                                  = 12cups / 6 glass

                                                  = 2 cups per glass

Hence, the number of cups in each glass will be 2 cups per glass.

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Answer: L=46in

Step-by-step explanation:

Using the formulaP=2(l+w)Solving forll=P2﹣w=1362﹣22=46in

Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book

Answer: £16

Step-by-step explanation:

To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.

75% of x = £12

To solve for x, we can set up the equation:

0.75x = £12

To isolate x, we divide both sides of the equation by 0.75:

x = £12 / 0.75

x = £16

Therefore, the original price of the book was £16.

9514 1404 393

Answer:

  y = 3x +6

Step-by-step explanation:

Put the numbers in the formula in their corresponding places.

  y = mx + b . . . . slope-intercept form with slope m, intercept b

  y = 3x +6 . . . . . slope-intercept form with slope 3, intercept 6

Answer:

25%

Step-by-step explanation:

ratio is 3B : 1G  (this means, out of 4 sections, 3 are boys and 1 are girls)

this means that 3/4 of class is boys and 1/4 are girls

1/4 equals 25%

Answer:

\(x^{-2}\)

Step-by-step explanation:

\(\frac{x^{6}}{x^{8}}\\ = x^{6-8} = x^{-2}\)

The correct answer is (A) stretched vertically, shifted left 2 units, and shifted down 4 units. The transformation f(x)-3(x+2)²-4 on the function f(x)-x² involves three changes to the original function.

The transformation from $f(x) = x^2$ to $f(x) = -3(x+2)^2 - 4$ involves the following changes:

Therefore, the correct answer is (A) stretched vertically, shifted left 2 units, and shifted down 4 units.

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Answer:

acute i think??

Step-by-step explanation:

Answer:43.3

Step-by-step explanation:

30ft high above the ground is the lamp.

What is an angle?

An angle is a shape created by two rays that share a terminus and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

Here, we have

BC⊥AD and DE⊥AD

∠ABC = ∠ADE(=90°)

Also,∠A=∠A

ΔABC ΔADE (AA similarity)

AB/AD = BC/DE

40/(200 + 40) = 5ft/DE

DE = 5ft×6 = 30ft

Hence, 30ft high above the ground is the lamp.

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a) 246 km

b) 82 km/h

c) Velocity was changing over time

a) The total distance covered by the driver can be calculated as the sum of distances covered in the first hour at 34 km/h and in the next two hours at 106 km/h. Therefore, the total distance can be calculated as follows:

Distance covered in the first hour = 34 km/h × 1 h = 34 km

Distance covered in the next two hours = 106 km/h × 2 h = 212 km

Therefore, the total distance covered is Δx = 34 km + 212 km = 246 km

b) To find the average x component of velocity (v_avg.x), we need to use the formula: \(v_{{avg.x}} = \frac{\Delta x}{\Delta t}\)

where Δx is the displacement and Δt is the time interval. In this case, the displacement is the same as the total distance covered (246 km), and the time interval is the total time taken (3 hours). Therefore, the average x component of velocity is: \(v_{{avg.x}} = \frac{246\ km}{3\ h} = 82\ km/h\)

c) The reason why v_avg.x is not equal to the arithmetic average of the initial and final values of velocity (v_f+v_i = (34 + 106)/2 = 70 km/h) is that the velocity is not constant during the journey. The driver started with a velocity of 34 km/h, then increased it to 106 km/h, so the velocity was changing over time. Therefore, the arithmetic mean is not a valid way to calculate the average velocity in this situation.

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Answer:

3/25

Step-by-step explanation:

Sorry for the upside down picture. Hope it's correct Lol

Answer:

11

Step-by-step explanation:

7 + 4 = 11

Answer:

11

Step-by-step explanation:

If a = 7, then a + 4 = 7 + 4 = 11

Hope that this helps!

Answer:

4- 4Step-by-step explanation:

50%

You need to convert the fraction (ratio)

Afterwards, you will get your answer!

I don't know how to upload or I would upload a picture of my work and how to do it to help you.

I hope this helps you!

Answer:

50percent

Step-by-step explanation:

75 is half of 150

The number of push-ups did sara did during gym class if for every 7 push-ups Dulce can do, Sara can do 6 is 24 push ups.

Number of push ups Dulce can do : number of push ups Sara can do

Let

number of push ups Sara does = x

7 : 6 = 28 : x

7/6 = 28/x

cross product

7 × x = 28 × 6

7x = 168

divide both sides by 7

x = 168/7

x = 24

Therefore, Sara does 24 push ups during the gym class.

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The temperature in the city with an elevation of -9m is 7°C.

Temperature is a definitive quantification of the amount of heat or chill precipitating from an item or environment, typically available in Celsius (°C) or Fahrenheit (°F) degrees and on the Kelvin (K) scale.

This absolute temperature scope starts at zero, translating to -273.15°C or -459.67°F when representing all sources of thermal energy's absence. Besides affecting appearance or state of an object, environmental temperatures can also modify physical traits.

Based on the graph, the temperature in the city with an elevation of -9m is 7°C.

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Answer:

-4x+3x power of 2 +2

Step-by-step explanation:

Answer:

3x² - 4x + 2

Step-by-step explanation:

distribute -2 into (3x - 1) and distribute x into (3x + 2)

=> -6x + 2 + 3x² + 2x

combine like terms

=> 3x² - 4x + 2

Answer:a,b,e,f

Step-by-step explanation:

Answer: Janelle is 1/2 below sea level, the altimeter should read -1/2 feet

Step-by-step explanation:

Answer:

Janelle's position on the Altimeter should read -1/2

Step-by-step explanation:

the reason it reads -1/2 is because she is a  below sea level

Answer:

8/17

Step-by-step explanation:

sin 28 degree = opposite / hypotenuse

= 8/17

Answer:

50 x 100=5,000

Step-by-step explanation:

50 x 100

Answer:

150(2)^t

Step-by-step explanation:

The function that represents the worth, w(t), of the basketball at any given time, t, can be written as:

w(t) = 150(2)^t

where t is the number of years since the basketball was collected.

This function uses the formula for exponential growth, where the value of the basketball doubles each year. The initial value of the basketball is $150, and the value is multiplied by 2 for each year that passes. Therefore, after one year, the basketball is worth $300 (2 times $150), after two years it is worth $600 (2 times $300), and so on.

By plugging in different values of t, we can calculate the worth of the basketball at any given time.

Answer:

We can see that when k = 1/4, the expression reaches its minimum value of 2.5, which is greater than 2. Therefore, we can conclude that (k+1)/(√k) has a least value of 2 when k > 0.

Step-by-step explanation:

To show that (k+1)/(√k) has a least value of 2 when k > 0, we need to find the minimum value of (k+1)/(√k).

First, we can simplify the expression by rationalizing the denominator:

(k+1)/(√k) * (√k)/(√k) = (k√k + √k)/(k)

Now we can combine the terms in the numerator:

(k√k + √k)/(k) = (√k(k+1))/(k)

To find the minimum value of this expression, we can take the derivative with respect to k and set it equal to zero:

d/dk [√k(k+1)/k] = [(1/2)k^(-1/2)*(k+1) + √k/k - √(k(k+1))/k^2] = 0

Simplifying the equation, we get:

(k+1) - 2√k - k = 0

-2√k = -1

√k = 1/2

k = 1/4

Now we can substitute k = 1/4 into the expression for (k+1)/(√k):

(1/4 + 1)/(√(1/4)) = (5/4)/(1/2) = 5/2 = 2.5

We can see that when k = 1/4, the expression reaches its minimum value of 2.5, which is greater than 2. Therefore, we can conclude that (k+1)/(√k) has a least value of 2 when k > 0.

The proof that ∠FCB≅∠DCE is shown below

Given that AECF is a rhombus, opposite angles of the rhombus are congruent.

This is represented as

∠EAF = ∠ECF

Also, given that EB ≅ FD, we can conclude that:

∠EBF = ∠DFC

This is by the definition of congruent segments having equal corresponding angles

Add the angles

∠CEB + ∠EBF = ∠CEB + ∠DFC = 180°

Recall that

Since ∠CEB = ∠AEF

So, we have:

∠AEF + ∠EBF = ∠AEF + ∠DFC = 180°

Hence, ∠FCB=∠DCE.

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Answer:

I thik answer will be 1 1/2..according to the question.

Answer:Hope this helps!

Step-by-step explanation:

We have explained all the steps to solve an infinite arithmetic sequence.

What is an arithmetic sequence?

An arithmetic sequence is a sequence of numbers in which each term is the sum of the previous term and a constant called the common difference.

When it comes to solving an infinite arithmetic sequence, you can use the following formulas:

The n-th term of an arithmetic sequence can be represented as a+(n-1)d, where "a" is the first term, "d" is a common difference, and "n" is the position of the term in the sequence.

The sum of the first n terms of an arithmetic sequence is represented as S_n = n/2(2a + (n-1)d), where "a" is the first term, "d" is a common difference, and "n" is the number of terms.

If a sequence is infinite, the sum of all terms can be represented as S_inf = a/(1-r) where "a" is the first term and "r" is the common ratio (r=1+d)

Hence, we have explained all the steps to solve an infinite arithmetic sequence.

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The angle between the vectors u = <-7, 12> and v = <-3, 3> is approximately 1.151 radians.

To find the angle, a, between two vectors, u and v, we can use the dot product formula:

u · v = |u| |v| cos(a)

where u · v is the dot product of vectors u and v, |u| and |v| are the magnitudes (or lengths) of vectors u and v, and cos(a) is the cosine of the angle, a, between the vectors.

First, let's calculate the magnitudes of the given vectors u and v:

|u| = √((-7)^2 + 12^2) = √(49 + 144) = √193

|v| = √((-3)^2 + 3^2) = √(9 + 9) = √18 = 3√2

Next, let's calculate the dot product of u and v:

u · v = (-7)(-3) + 12(3) = 21 + 36 = 57

Now we can substitute these values into the dot product formula:

57 = (√193)(3√2) cos(a)

To solve for cos(a), we divide both sides of the equation by (√193)(3√2):

cos(a) = 57 / ((√193)(3√2))

Now, we can calculate the value of cos(a) using a calculator:

cos(a) ≈ 0.401

To find the angle, a, we take the inverse cosine (arccos) of cos(a):

a ≈ arccos(0.401) ≈ 1.151 radians (approximately)

The angle between the vectors u = <-7, 12> and v = <-3, 3> is approximately 1.151 radians.

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Answer:

n =3 and m = 5

Step-by-step explanation:

negative × positive = negative

So -6 × 3 = -18

4 × 5 = 20

negative + positive = positive

So -18 + 20 = 2