What is the area of a trapezoid with a height of 10 and B1 of 9 and B2 of 4

Answer:

MAYBE D OR A

Step-by-step explanation:

SORRY IF THIS WAS NO HELP

Answer:

D is correct

Step-by-step explanation:

Because the x has the |x| surrounding it, that means that it is always going to be positive (i think) which explains why both -1 and 1 are selected; because they both equal 1.

Base-case analysis, worst-case analysis, and best-case analysis are techniques used in business and project management to assess the potential outcomes of a given situation. These analyses help in making informed decisions and managing risks.

In a base-case analysis, the most likely scenario is considered. It assumes that all factors will perform as expected and there are no major deviations or unforeseen events. The base case provides a baseline for comparison with other scenarios.

Worst-case analysis, on the other hand, examines the scenario with the most negative outcome. It takes into account all possible risks and assumes that everything that can go wrong will go wrong. It helps identify potential vulnerabilities and plan for contingencies.

Best-case analysis evaluates the scenario with the most positive outcome. It assumes that everything will work perfectly and all favorable conditions will be met. This analysis is useful for setting performance targets and assessing the potential benefits of a project or decision.

To perform these analyses, specific variables and factors are identified, and their impact on the outcome is assessed. This includes considering financial data, market conditions, competition, technological factors, and other relevant aspects.

It is important to note that the base-case, worst-case, and best-case analyses are not definitive predictions but rather tools to assess different scenarios and their potential outcomes. They help in understanding the range of possibilities and making informed decisions based on risk tolerance and objectives.

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Answer:

  A, E

Step-by-step explanation:

The appropriate expression will be one that multiplies e by the amount spent on each one:

  (0.45)(e) . . . . matches choice A

  0.45e . . . . . . matches choice E

Answer:

D

Step-by-step explanation:

8590 x 0.03 = 257.70

._.

Answer:

The value of segment LM is 9x + 5.

Step-by-step explanation:

Consider the image below.

A perpendicular bisector is a line segment that bisects another line segment into two equal parts and is perpendicular to this line segment.

So from the diagram below we know:

KL = LM

line a is ⊥ to KM

∠NLK = 90°

Since the angle measure of ∠NKL is not provided we cannot determine the value of x.

So, the value of segment LM is 9x + 5.

The answer is 23 units. I got this answer right on this question, if this do help please tap the heart or comment that this helped you. : ) have a lovely day

The correct option is option a) The critical value depends on the number of categories, not the sample size.

The critical value for a chi-square test is determined by the level of significance (alpha) and the degrees of freedom (df). The degree of freedom is a function of the number of categories in the test, not the sample size. Therefore, increasing the sample size does not affect the critical value for a chi-square test.

The chi-square test is a statistical test used to determine whether there is a significant difference between the expected frequencies and the observed frequencies in one or more categories. It is used to test the independence of two categorical variables.

Therefore, The correct option is option a) critical value depends on the number of categories, not the sample size.

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Answer:

(A). 6 units

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Paris earned a real interest rate of approximately 7.98% in 2021, calculated by subtracting the inflation rate of 10% from the nominal interest rate of 11%.

To calculate the real interest rate, we need to adjust the nominal interest rate using the Consumer Price Index (CPI) inflation rate. The CPI increased from 120 to 132, indicating an inflation rate of (132 - 120) / 120 = 0.1, or 10%.

The real interest rate can be calculated using the formula: Real Interest Rate = Nominal Interest Rate - Inflation Rate.

In this case, the nominal interest rate is 11%, and the inflation rate is 10%. Substituting the values into the formula:

Real Interest Rate = 11% - 10% = 1%.

However, it is important to note that this calculation provides the approximate real interest rate. Other factors such as compounding frequency and the specific calculation method used by the mutual fund may affect the actual real interest rate earned by Paris.

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The equation of the line that passes through (6, 5) and (-3, -4) in slope intercept form is y = x - 1.

The equation of a line in slope intercept form can be represented as follows:

y = mx + b

where

Therefore, the line passes through the points (6, 5) and (-3, -4).

Let's find the slope as follows:

m = -4 - 5 / -3 - 6

m = -9 / -9

m = 1

Therefore, let's find the y-intercept using (6, 5)

y = x + b

5 = 6 + b

b = 5 - 6

b = -1

Therefore, the equation of the line is y = x - 1

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Answer:

some numbers that involve the

a=3

b=4

c=5

Answer:

C. x=42

Step-by-step explanation:

16 + 3x + y = 180

126 + 16 + y = 180

y = 38

16 + 3x + 38 = 180

54 + 3x = 180

3x = 126

x=42

A. The probability that one selected subcomponent is longer than 122 cm can be found by calculating the area under the normal distribution curve to the right of 122 cm. We can use the z-score formula to standardize the value and then look up the corresponding probability in the standard normal distribution table.

z = (122 - μ) / σ = (122 - 100) / 5.6 = 3.93 (approx.)

Looking up the corresponding probability for a z-score of 3.93 in the standard normal distribution table, we find that it is approximately 0.9999. Therefore, the probability that one selected subcomponent is longer than 122 cm is approximately 0.9999 or 99.99%.

B. To find the probability that the mean length of three randomly selected subcomponents exceeds 122 cm, we need to consider the distribution of the sample mean. Since the sample size is 3 and the subcomponent lengths are normally distributed, the distribution of the sample mean will also be normal.

The mean of the sample mean will still be the same as the population mean, which is 100 cm. However, the standard deviation of the sample mean (also known as the standard error) will be the population standard deviation divided by the square root of the sample size.

Standard error = σ / √n = 5.6 / √3 ≈ 3.24 cm

Now we can calculate the z-score for a mean length of 122 cm:

z = (122 - μ) / standard error = (122 - 100) / 3.24 ≈ 6.79 (approx.)

Again, looking up the corresponding probability for a z-score of 6.79 in the standard normal distribution table, we find that it is extremely close to 1. Therefore, the probability that the mean length of three randomly selected subcomponents exceeds 122 cm is very close to 1 or 100%.

C. If we want to find the probability that all three randomly selected subcomponents have lengths exceeding 122 cm, we can use the probability from Part A and raise it to the power of the sample size since we need all three subcomponents to satisfy the condition.

Probability = (0.9999)^3 ≈ 0.9997

Therefore, the probability that if three subcomponents are randomly selected, all three of them have lengths that exceed 122 cm is approximately 0.9997 or 99.97%.

Based on the given information about the normal distribution of subcomponent lengths, we calculated the probabilities for different scenarios. We found that the probability of selecting a subcomponent longer than 122 cm is very high at 99.99%. Similarly, the probability of the mean length of three subcomponents exceeding 122 cm is also very high at 100%. Finally, the probability that all three randomly selected subcomponents have lengths exceeding 122 cm is approximately 99.97%. These probabilities provide insights into the performance of the automatic machine in terms of producing longer subcomponents.

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Answer:

the answer is 144

Step-by-step explanation:

just add 72+72=144

Using the Fundamental Counting Theorem, it is found that there are:

It is a theorem that states that if there are n things, each with \(n_1, n_2, \cdots, n_n\) ways to be done, each thing independent of the other, the number of ways they can be done is:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

For a single class rep, there are 19 + 16 + 26 = 61 students, hence there are 61 ways to choose a single class rep.

For three reps, one from each college, we have that:

\(n_1 = 19, n_2 = 16, n_3 = 26\), hence:

\(N = 19 \times 16 \times 26 = 7904\)

7904 ways to choose three reps, one from each of the three Colleges.

Considering one female, we have that:

\(N = 13 \times 16 \times 26 + 19 \times 5 \times 26 + 19 \times 16 \times 12 = 11526\)

11526 ways to choose three reps, one from each of the three Colleges, so that exactly one is female.

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Answer:

x = 0, 2

Step-by-step explanation:

Step 1: Factor out GCF

2x(x - 2) = 0

Step 2: Divide both sides by 2

x(x - 2) = 0

Step 3: Solve for roots

x = 0

x - 2 = 0

x = 2

The integer the represent a flight overbooked by 4 passengers is y = x + 4

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given,

A flight overbooked by 4 passengers.

Let, x = Initial capacity of the flight to have passengers

and, y = Total capacity after adding all the passengers

so, the equation is

y = x + 4

Therefore, the integer the represent a flight overbooked by 4 passengers is y = x + 4.

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The required angular speed of the propeller in 4000 rev per min π radians per sec is approximately 133.333 radians per second.

Given that a 80-horsepower outboard motor at full throttle will rotate its propeller at exactly 4000 revolutions per min.

We need to find the angular speed of the propeller in 4000 rev per min π radians per sec

.To find the angular speed of the propeller in 4000 rev per min π radians per sec, we know that1 revolution = 2π radiansTherefore,4000 revolutions

= 4000 × 2π radians

= 8000π radians

∴ Angular speed of propeller in 4000 rev per min π radians per sec

= (8000π radians/minute)/(60 sec/minute)

= (8000π/60) radians per second

= 133.333 radians per second (approx)

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Answer:

I believe the right answer is answer A

The effective interest on £2000 at a 3% interest rate compounded quarterly over a period of 4 years is approximately £245.15.

To calculate the effective interest, we need to use the formula for compound interest:

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

Where:

A = the future value of the investment (including interest)

P = the principal amount (initial investment)

r = the annual interest rate (as a decimal)

n = the number of compounding periods per year

t = the number of years

In this case, the principal amount (P) is £2000, the annual interest rate (r) is 3% (or 0.03 as a decimal), the compounding is done quarterly (n = 4), and the investment period (t) is 4 years.

Plugging the values into the formula:

A = £2000(1 + 0.03/4)^(4*4)

= £2000(1 + 0.0075)^16

= £2000(1.0075)^16

≈ £2000(1.126825)

Calculating the future value:

A ≈ £2253.65

To find the effective interest, we subtract the principal amount from the future value:

Effective Interest = £2253.65 - £2000

≈ £253.65

Therefore, the effective interest on £2000 at a 3% interest rate compounded quarterly after 4 years is approximately £253.65.

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If Reginald Wallace’s gross weekly salary is $515 and the Medicare tax is 1.45 percent of gross pay. The state tax is 1.5 percent of gross pay. The amount that is deducted from Wallace’s weekly wages for state tax and Medicare tax is: $15.19.

State tax=1.5 percent of gross pay

Medicare tax=1.45 percent of gross pay

State tax=$515 ×0.015

State tax= $7.725

Medicare tax=$515× 0.0145

Medicare tax = $7.4675

Hence:

State tax and Medicare tax=$7.725+$7.4675

State tax and Medicare tax=$15.1925

State tax and Medicare tax=$15.19 (Approximately)

Therefore If Reginald Wallace’s gross weekly salary is $515 and the Medicare tax is 1.45 percent of gross pay. The state tax is 1.5 percent of gross pay. The amount that is deducted from Wallace’s weekly wages for state tax and Medicare tax is: $15.19.

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Yes, that is correct. A well-formed formula is a specific arrangement of symbols that results in a grammatically correct and meaningful expression.

In other words, the arrangement of symbols in a formula must follow the rules of grammar and syntax in order to convey a coherent message or statement. Without proper arrangement and adherence to grammatical rules, the resulting expression may be nonsensical or ambiguous.
A well-formed formula (WFF) is an arrangement of symbols in which the resulting expressions are grammatically correct and meaningful. This means that the symbols follow a specific set of rules and structure, ensuring that the expressions make logical sense and can be properly interpreted or analyzed.

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Answer:

The system has infinity many solutions

Step-by-step explanation:

If it had no solutions there would be another like that does not go through it....if it was one solution it would have another like going through the other line....and since it has two lines that are on top of each other in the same point it's infinity solutions

Answer:

Step-by-step explanation:

Decimal

Fraction

Percentage

0.53

53/100

53%

The relation which we see between the orders of the elements of a group and the order of the group is smallest positive power.

G = U(20), order of each element of G = ?

The smallest positive power of an element that gives you your identity is the order of the element in a group. Three instances are covered: complex numbers, a 2x2 rotation matrix, and real number elements of finite order.

G = U(20) = {1,3,7,9,11,13,17,19}

⇒ 3° ≡ 1, 3¹ ≡ 3, 3² ≡ 9, 3³ ≡ 7, 3¹ ≡ 1(20)

∴ order of 3 = 4

7⁴ ≡ 1 (mod 20) → order (7) = 4

9² ≡ 1 (mod 20) → order (9) = 2

11² ≡ 1 (mod 20) → order (11) = 2

13² ≡ 9(mod 20) → 13⁴ ≡ 81(mod 20) → 13⁴ ≡ 1 (mod 20)

⇒ order (13) = 4

order  07 = 4

17 ≡-3(mod 20) ⇒ 17² ≡ yy (mod 20)

⇒ 17⁴ ≡ 81 (mod 20) ≡ 1 (mod 20) ⇒

19 = -1 (mod 20)

19² ≡ 1 (mod 20) ⇒ order (19) = 2

Hence we get the requires answer.

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Answer:

96 miles

Step-by-step explanation:

180 * 4/5 =144

144/ 3/2 =96

Answer:

Jasmine has a total of $7.50 + $8.65 = $16.15 after borrowing from her friend.

She wants to buy a bag for $13.45 and a bracelet for $6.78, so the total cost is $13.45 + $6.78 = $20.23.

Jasmine still needs $20.23 - $16.15 = $4.08 to buy both items.

Step-by-step explanation:

Answer:

Jasmine has a total of $7.50 + $8.65 = $16.15 after borrowing from her friend.

She wants to buy a bag for $13.45 and a bracelet for $6.78, so the total cost is $13.45 + $6.78 = $20.23.

Jasmine still needs $20.23 - $16.15 = $4.08 to buy both items.

Answer:

3.67 * 10^5.

Step-by-step explanation:

367,000

There are 5 digits after the 3 so y = 5

x = 3.67.

Answer: Cant see or read

Step-by-step explanation:

(A) Its initial speed was 21.76 m/s.

(B) The actual altitude is (18+ 6.17) m = 24.17 m

(C) Time elapsed since it was thrown is 2.22 sec

(D) 4.44 sec will it take the baseball to reach ground again, counting from the moment it passed the window upward.

Part A:

Let u be the starting velocity.

At a height of 18 meters above the earth, the velocity is stated as 11 m/s.

Next applying equation

v² = u² +2as, where a refers to acceleration and s refers to displacement

substituting the values

11² = u² - 9.8×18 (Since given that the ball going upward a=g = gravitational acceleration= 9.8 m/s2 )

u = √(121 + 352.8)

u = 21.76 m/s

Part B:

After the building's window, let the ball's altitude be H.

Using the equation once more

v² = u² +2as

0 = 11² - 2 × 9.8 × H (since once at altitude, the final velocity will be zero.)

We get,

H= 121/19.6

H = 6.17 m

So the actual altitude is (18+ 6.17) m = 24.17 m

Part C:

Let the time elapsed is t

The using the equation v= u +at

0 = 21.76 - 9.8 × t

t = 2.22 sec

Part D:

The time taken by the baseball will be exactly double the time taken to reach the highest altitude that is 2.22 sec.

So the time is 2.22×2 = 4.44 sec.

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