A trapezoid has an area of 70 in.2. If the lengths of the bases are 6.7 in. And 7.3 in., what is the height?

Negative 7 = -7

Positive 2 = +2

\( - 7 - ( + 2) \\ \\ = - 7 - 2 \\ \\ = - 9\)

Influential scores, indicated by large residuals, have a significant impact on the regression line when removed from the data. These points, characterized by extreme x or y-values, can alter the slope and intercept of the regression line, emphasizing their importance in regression analysis.

The correct statements about influential scores are i and ii.

i. Influential scores have large residuals because they have a strong effect on the regression line. This means that if we remove an influential score from the data, it will significantly change the slope and intercept of the regression line.

ii. Removal of an influential score sharply affects the regression line because influential scores have a large impact on the regression line. If we remove an influential score, it will significantly change the slope and intercept of the regression line.

iii. This statement is not true. An x-value that is an outlier in the x-variable may be indicative of a point being influential, but a y-value that is an outlier in the y-variable can also be indicative of a point being influential.

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Answer: The midpoint  is MZ midpoint = (0.5,1)

Step-by-step explanation:

\(MP= (\frac{x_1+x_2}{2}),(\frac{y_1+y_2}{2} ) \\MP= (\frac{-4+3}{2}),(\frac{-1+3}{2} )\\MP= (\frac{-1}{2}),(\frac{2}{2} ) \\\\MP= (-0.5 ,1)\)

Answer:

Aaron=110

Betty=210

Step-by-step explanation:

the photo contains the needed working out

Answer: They took away 5%

Step-by-step explanation:

If you get 50 and the you have  40 you get 5%

The time at which the system fails, denoted by X, is the minimum of the lifetimes of the five components.

In this system, each component has a lifetime that follows an exponential distribution with a parameter λ = 0.01. The exponential distribution is commonly used to model the time until an event occurs in a system with a constant failure rate.

The probability that a component lasts at least t hours is given by P(Ai) = e^(-λt), where Ai is the event that the ith component lasts at least t hours.

Since the components fail independently of one another, the probability that all five components last at least t hours is the product of their individual probabilities: P(A1 ∩ A2 ∩ A3 ∩ A4 ∩ A5) = e^(-λt)^5 = e^(-5λt).

Now, let X be the time at which the system fails, which is the minimum of the lifetimes of the five components. Since X is the minimum, we can write X = min(T1, T2, T3, T4, T5), where Ti represents the lifetime of the ith component.

The probability distribution of X can be obtained by considering the complement event. The complement of X > t is that all five components last at least t hours, which is P(X > t) = P(A1 ∩ A2 ∩ A3 ∩ A4 ∩ A5) = e^(-5λt).

Therefore, the time at which the system fails, X, follows an exponential distribution with a parameter of 5λ = 0.05. This means that the system has a constant failure rate of 0.05 and the probability density function (pdf) of X is given by f(x) = 0.05 * e^(-0.05x).

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The conditional of q by p is "If p then q" or "p implies q" and is denoted by p q. It is false when p is true and q is false; otherwise it is true.

Answer:

59

Step-by-step explanation:

The angle measures (2x + 24) and 142 are equal to each other since we are looking at a line being cut by a "transversal" So, set them to equal each other like so:

2x + 24 = 142

Now solve:

2x + 24 = 142

2x = 118

x = 59

Answer:

a) x = 59

Step-by-step explanation:

Now we have to,

→ find the required value of x.

We know that,

→ opposite angles are always equal.

Then the value of x will be,

→ 2x + 24° = 142°

→ 2x = 142° - 24°

→ 2x = 118°

→ x = 118/2

→ [ x = 59 ]

Hence, the value of x is 59.

Answer:

8 blocks away

Step-by-step explanation:

You just add

Answer:

-7 =D

Step-by-step explanation:

R follows a geometric distribution with parameter p, the probability of either aaron or baron getting heads in a given round.

The number of rounds r follows a geometric distribution with parameter p, the probability of either aaron or baron getting heads in a given round. This is because the probability of r rounds occurring before either aaron or baron gets heads is equal to p^r, where p is the probability of either one of them getting heads in a given round. The probability of a tie is equal to p^2.

The geometric distribution is a discrete probability distribution that models the number of successes that occur in a sequence of independent Bernoulli trials before a specified (non-random) number of failures occur. The geometric distribution is the only discrete memoryless probability distribution, meaning that the probability of success in the next trial is independent of the previous outcomes. In the case of aaron and baron's coin game, the geometric distribution can be used to model the number of rounds that will occur before either aaron or baron gets heads. The probability of a given number of rounds occurring before either aaron or baron gets heads is equal to p^r, where p is the probability of either one of them getting heads in a given round. The probability of a tie is equal to p^2. Therefore, the number of rounds r follows a geometric distribution with parameter p.

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Answer: 3, 8, 13, 18, 23, etc...

Step-by-step explanation:

To get a remainder of 3 upon dividing by 5, we must get multiples of 5 then add 3 to each. So, we start with 0+3=3, then 5+3=8, 10+3=13, etc... So, we end up with the sequence 3, 8, 13, 18, 23... notice how each term is 5 more than the previous.

The surface area of the given square pyramid is 56.25 square meters.

To find the surface area of a regular square pyramid, we need to calculate the areas of its individual components and sum them up.

First, let's find the area of the base. The base of the square pyramid is a square, so the area of the base is given by:

Area of the base = side length^2

Given that the length of the base is 4 and one-half meters (or 4.5 meters), we can calculate the area of the base as:

Area of the base = (4.5 meters)^2 = 20.25 square meters

Next, let's find the area of each triangular face. Since the pyramid is regular, all the triangular faces are congruent.

The area of a triangle can be calculated using the formula:

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

In this case, the base length of each triangular face is equal to the length of the base of the pyramid, which is 4.5 meters. The height of each triangular face is given as 4 meters.

Thus, the area of each triangular face is:

Area of each triangular face = (1/2) × (4.5 meters) × (4 meters) = 9 square meters

Since there are four triangular faces in a square pyramid, the total area of the triangular faces is:

Total area of the triangular faces = 4 × (Area of each triangular face) = 4 × 9 square meters = 36 square meters

Finally, we can find the surface area of the square pyramid by adding the area of the base and the total area of the triangular faces:

Surface area of the square pyramid = Area of the base + Total area of the triangular faces = 20.25 square meters + 36 square meters = 56.25 square meters

Therefore, the surface area of the given square pyramid is 56.25 square meters.

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Answer:

The answer is -4 ( W - 8 )

I hope this helps you

Answer:

-4(w-8)

at first when you look at it you know you cant add then because 32 have a variable but to get -4w+32 you will have to do -4(w-8)

hope that helped

Using linear function to solve this problem, for every 1 gallon of gas, Francisco travelled 27.9 miles

A linear function is a function that represents a straight line on the coordinate plane. For example, y = 3x - 2 represents a straight line on a coordinate plane and hence it represents a linear function. Since y can be replaced with f(x), this function can be written as f(x) = 3x - 2. A linear function is of the form f(x) = mx + b where 'm' and 'b' are real numbers. Isn't it looking like the slope-intercept form of a line which is expressed as y = mx + b? Yes, this is because a linear function represents a line, i.e., its graph is a line. where m is slope of the line and b is the y - intercept

We can use the data given in writing out our equation

390.6 = 14x

If 14 gallons = 390.6 miles

 1 gallon = x miles

x = 390.6 / 14

x = 27.9 miles

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The expected return on James's portfolio is 18%.

The expected return on Siebling Manufacturing Company's common stock is 8.4%.

To calculate the expected return on James's portfolio, we need to take the weighted average of the expected returns of MSFT and AAPL based on their respective investments.

Let's assume James invests x% in MSFT and (100 - x)% in AAPL.

The expected return on James's portfolio can be calculated as:

Expected Return = (x * Expected Return of MSFT) + ((100 - x) * Expected Return of AAPL)

Substituting the given values:

Expected Return = (x * 12%) + ((100 - x) * 24%)

To find the value of x that makes James's investments equal, we set the weights equal:

x = 100 - x

Solving this equation gives us x = 50.

Now we can substitute this value back into the expected return equation:

Expected Return = (50% * 12%) + (50% * 24%)

Expected Return = 6% + 12%

Expected Return = 18%

Therefore, the expected return on James's portfolio is 18%.

To calculate the expected return on Siebling Manufacturing Company's common stock, we can use the Capital Asset Pricing Model (CAPM).

The CAPM formula is:

Expected Return = Risk-Free Rate + Beta * Market Premium

Risk-Free Rate = 2%

Market Premium = 8%

Beta = 0.8

Expected Return = 2% + 0.8 * 8%

Expected Return = 2% + 6.4%

Expected Return = 8.4%

Therefore, the expected return on Siebling Manufacturing Company's common stock is 8.4%.

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Answer:

answer  choice D

Step-by-step explanation:

x => 6 - 4x > 18

= 6-18 > 4x

= - 12 > 4x

= -3 > x

= x < -3

Answer:

56

Step-by-step explanation:

Answer:

Exactly the same as the cost of Joe's cookie

0.30 dollars

Step-by-step explanation:

those are the only true

Answer:

1.48

Step-by-step explanation:

my calculator said sqrt(2.2)=1.48

Answer: x = 5

Step-by-step explanation:

10x and 130 degrees are supplementary, because they are interior angles and the lines are parallel.

10x + 130 = 180

10x = 50

x = 5

The reason grim say that max is lucky is that most people never have a good friend like Kevin.

Grim tells Max that he is fortunate to have had a good friend who helped him realize he was intelligent and improved his self-esteem. Max concurs that Grim should get a firearm. Grim admits that he may, but Gram won't be made aware of it. Grim is devastated by the idea because he would never lie to Gram.

Max assures him that he would keep Grim's identity a secret and that he will remain indoors for the upcoming days.

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Answer: #The tank holds 80,000 gallons of water when filled to capacity.

Step-by-step explanation:

4/5 - 3/4 = 1/20

The fraction (1/20) represents the 4000 gallons of water.

     1/20 = 4,000

       1    =?                  

then u cross multiply

1*4,000*20/1

= 80,000 gallons of water

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Step-by-step explanation:

you do know that the sum of all angles in a triangle is always 180° ?

so,

3u + 6u - 18 + u + 18 = 180

10u = 180

u = 18

Answer:

6x+2 is the answer

Step-by-step explanation:

.......

Answer:

5

Step-by-step explanation:

Solution is 8 in

Let´s call dimensions of the box

According to the problem statement

y = x + 3     and    h = 4 in

The volume of the box is:

V = x×y×h       V = 360 in³

Then  V = x × ( x + 3 ) × 4     ( by substitution of y as a function of x )

360 = x × ( x + 3 ) × 4

Simplifying by 4

90 =  x × ( x + 3 )

90 = x² + 3x

We got a second degree equation, solving for x

x² + 3×x - 90 = 0

x₁,₂ = ( -3 ± √ (3)² + 4×90 )/2   ⇒   x₁,₂ = ( - 3 ± 19,21 )/2

x₁   ⇒  is a negative value    x = - 11,1  so we dismiss such solution

x₂  = 16.21/2

x₂  =  8.1 in

rounding to the nearest integer number we get the value for the length f the box

x₂ = 8 in        ⇒ x = 8 in

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