What is the median of the data shown heights of the members of me.smith class

The theorem that applies to the similar triangles is AA theorem.

Similar triangles are triangle with same shapes but may be different sizes.

Similar triangle have corresponding sides as a ratio of each other.

The triangles above have two of their angles equal, therefore, the triangles are similar.

They are similar by AA theorem.

AA theorem of similarity states that If two of angles are equal, then the third angle must also be equal, because angles of a triangle always add to make 180°.

30 ≅ 30

95 ≅ 95

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Answer:

13.6

Step-by-step explanation:

add 6, 10, 12, 12, 15, and 27

you should get 82

now divide how many number you put for instance I put in 6 numbers so I divide by 6

82/6

answer: 13.6 years of age

Answer:

Theres a lot of numbers you can choose from 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96,

Step-by-step explanation:

The smallest sample size that guarantees that the margin of error is less than 1% when constructing a 98% confidence interval for a population proportion is 54,300.

The margin of error formula is given by:

               Margin of error = Zα/2 × √((p × q) / n)

Where: Zα/2

The critical value of the z-distribution at α/2 (alpha divided by two) level of significance.

p: The sample proportion

q: (1 - p)

n: The sample size

We know that we have to find the smallest sample size that guarantees that the margin of error is less than 1% when constructing a 98% confidence interval for a population proportion. We can assume that p is 0.5 since we want the maximum margin of error and the variance of a Bernoulli distribution is maximum at 0.5.

The formula for finding the sample size is given by:

                   n = ((Zα/2)² × p × q) / E²

Where E is the margin of error.

We need to find the value of n that satisfies the above equation for E = 0.01, α = 0.02 and p = 0.5.

Substituting the values, we get:

                   n = ((2.33)² × 0.5 × 0.5) / (0.01)²n = (5.43) / 0.0001n = 54,300

Hence, the smallest sample size that guarantees that the margin of error is less than 1% when constructing a 98% confidence interval for a population proportion is 54,300 (rounded up to the nearest integer).

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Answer:

B or C or A or E or D i dont know

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

The result of the multiplication must end in 0 so A, D nor E are the answer.

Consider B:

34 * 45

Neither of the numbers are divisible by 7 so it's not this one.

It's C because:

56 is divisible by 1, 2,4,7,8 and

45 is divisible by 3, 5, 9

The factors contain 2 and 3 so its also divisible by 2*3 = 6.

The product ends in 0 so its also divisible by 10.

The integral ∫[0, -7] (4 + 49 - x^2) dx, interpreted as the area under the curve, is equal to 371/3.

To evaluate the integral ∫[0, -7] (4 + 49 - x^2) dx by interpreting it in terms of areas, we can interpret the integrand as the height of a function and the differential dx as an infinitesimally small width of a rectangle. The integral then represents the sum of the areas of these rectangles over the given interval.

The integrand, 4 + 49 - x^2, simplifies to 53 - x^2.

Since we are integrating from x = 0 to x = -7, the integral represents the area between the curve y = 53 - x^2 and the x-axis, bounded by x = 0 and x = -7.

To find this area, we can split it into two parts: the area under the curve from x = 0 to x = -7 and the area above the curve from x = -7 to x = 0.

The area under the curve from x = 0 to x = -7 can be calculated as ∫[-7, 0] (53 - x^2) dx, which is the negative of the integral we are given.

∫[0, -7] (4 + 49 - x^2) dx = -∫[-7, 0] (53 - x^2) dx

Using the power rule of integration, we can integrate the expression:

-∫[-7, 0] (53 - x^2) dx = -[53x - (x^3/3)] evaluated from x = -7 to x = 0

Plugging in the limits of integration, we get:

-[(53(0) - (0^3/3)) - (53(-7) - ((-7)^3/3))]

Simplifying further:

-[(0 - 0) - (371/3)]

Finally, we have:

∫[0, -7] (4 + 49 - x^2) dx = 371/3

So, the value of the integral is 371/3.

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The probability that 5 or fewer students have confidence in banks is approximately 0.966 or 96.6%.

To find the probability that 5 or fewer students have confidence in banks using the binomial distribution method, follow these steps:

1. Identify the given parameters:
  - n (number of trials) = 10
  - p (probability of success) = 0.40

2. Define the range for the number of successes (k): 0 to 5.

3. Calculate the probability using the binomial formula:
  P(X = k) = C(n, k) * p^k * (1-p)^(n-k)

  where:
  - P(X = k) is the probability of k successes in n trials
  - C(n, k) is the number of combinations of n items taken k at a time, which can be calculated as C(n, k) = n! / (k! * (n-k)!)

4. Calculate the probabilities for k = 0, 1, 2, 3, 4, and 5, then sum them up:

  P(X ≤ 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

5. Calculate each probability using the binomial formula, and sum them up to find the total probability:

  P(X ≤ 5) = 0.0116 + 0.0881 + 0.2146 + 0.3020 + 0.2468 + 0.1029 = 0.9660

So, the probability that 5 or fewer students have confidence in banks is approximately 0.966 or 96.6%.

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Using the Euclidean inner product the

(a) projvu = (-1, -1)

(b) projuv = (1, 1)

(a) To find projvu, we need to calculate the projection of vector u onto vector v. The formula for the projection of u onto v using the Euclidean inner product is projvu = (u · v) / ||v||^2 * v. Given u = (-3, 4) and v = (1, 1), we can calculate:

projvu = ((-3, 4) · (1, 1)) / ||(1, 1)||^2 * (1, 1)

projvu = (-3 + 4) / (1^2 + 1^2) * (1, 1)

projvu = 1 / 2 * (1, 1)

projvu = (1/2, 1/2)

Therefore, projvu = (-1, -1) (rounded to whole numbers).

(b) To find projuv, we need to calculate the projection of vector v onto vector u. Using the same formula as before, but with u and v swapped, we get:

projuv = ((2, -1, 1) · (2, 1, 1)) / ||(2, 1, 1)||^2 * (2, 1, 1)

projuv = (4 - 1 + 1) / (2^2 + 1^2 + 1^2) * (2, 1, 1)

projuv = 4 / 6 * (2, 1, 1)

projuv = (4/6 * 2, 4/6 * 1, 4/6 * 1)

projuv = (8/6, 4/6, 4/6)

Simplifying, we get projuv = (4/3, 2/3, 2/3).

Therefore, projuv = (1, 1) (rounded to whole numbers).

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Answer:

how you suppose to do dis?

Step-by-step explanation:

i don't understand?

The value of the different trigonometric ratios given are:

sin θ  = 0.923

tan θ = 2.4

sec θ = 2.6

There are different trigonometric ratios such as:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

We are given:

cos(θ) = 10/26, 0 ≤ θ ≤ π/2

Thus, sin θ and cos θ will be in the first quadrant based on the interval given. Thus:

cos⁻¹(10/26) = 1.176

sin 1.176 in radians  = 0.923

tan 1.176 in radians = 2.4

sec 1.176 = 1/cos 1.176 = 2.6

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Answer:

x=-3

Step-by-step explanation:

first multiply them out: 5x+20=2x+11

then subtract both sides by 2x: 3x+20=11

subtract both sides by 20: 3x=-9

divide both sides by 3: x=-3

Answer:

x = -3

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

5(x + 4) = -2(-4 - x) + 3

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

Here we see that 5 does indeed equal 5. ∴ x = -3 is a solution of the equation.

And we have our final answer!

The total amount Lusac have in his savings after 3 more years with 1.8% saving interest is $1055.10.

Simple interest is the amount charged on the principal amount with a fixed rate of interest for a time period. Simple interest calculated only on the principal amount.

The formula for the simple interest can be given as,

\(I=\dfrac{Prt}{100}\)

Here, (I) is the interest amount earned on the principal amount of (P) with the rate of (r) in the time period of (t).

Lucas spends $83.42 in additional interest and charges on monthly payments as the result of a prior bankruptcy. The amount save in a year (12 months) is,

\(P=83.42\times12\\P=1001.04\)

The interest earned on this principal amount with earning 1.8% simple interest, after 3 years is,

\(I=\dfrac{1001.04\times1.83}{100}\\I=54.06\)

The total total amount in his bank account after 3 years is,

\(A=P+I\\A=1001.04+54.06\\A=1055.10\)

Hence, the total amount Lusac have in his savings after 3 more years with 1.8% saving interest is $1055.10.

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Answer:

b.

$1,055.10

Step-by-step explanation:

right on edg 22

Answer:

x = -1/2, 3/4

Step-by-step explanation:

Step 1: Isolate everything to 1 side

8x² - 2x - 3 = 0

Step 2: Factor

(4x - 3)(2x + 1) = 0

Step 3: Find roots

4x - 3 = 0

4x = 3

x = 3/4

2x + 1 = 0

2x = -1

x = -1/2

The value of a is,

⇒ a = - 7

We have to given that;

Expression to solve is,

⇒ x⁵ / x¹² = xᵃ

Multiplication Law: Bases - multiplying like ones; adding exponents while keeping the base constant.

When one base is increased with power to another, multiply the exponents while keeping the base constant.

Division Law: Bases - dividing like ones; remove the denominator's exponent from the numerator's exponent and maintain the base constant.

Now, By rule of exponent we can simplify as;

⇒ x⁵ / x¹² = xᵃ

⇒ x⁵ × x⁻¹² = xᵃ

⇒ x⁵ ⁻ ¹² = xᵃ

⇒ x⁻⁷ = xᵃ

Hence, By comparing we get;

⇒ a = - 7

Thus, The value of a is,

⇒ a = - 7

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Answer:

Step-by-step explanation:

Answer:

for A

go 3 units left and then form there go 4 units up(put -3 in between -2 and -4)

for B

from the origin (0) go two units down

for C

go 4 units to right and then from there go 5 units down(put -5 in between -4 and -6)

for D

go 3 units left and then 5 units down(put -3 in between -2 and -4 ,put -5 in between -4 and -6)

notes: each small square boxes is units

Step-by-step explanation:

Hope this is helpful!!

Answer:

x = 4 , ∠ A = 65° , ∠ B = 88° , ∠ C = 23°

Step-by-step explanation:

∠ A + ∠ C = 88 , substitute values for A and C

5x + 3 + 15x + 5 = 88

20x + 8 = 88 ( subtract 8 from both sides )

20x = 80 ( divide both sides by 20 )

x = 4

Then

∠ A = 15x + 5 = 15(4) + 5 = 60 + 5 = 65°

∠ A + ∠ C = 88° , that is

65° + ∠ C = 88° ( subtract 65° from both sides )

∠ C = 23°

∠ B = ∠ A + ∠ C ( vertically opposite angles )

∠ B = 88°

There are many possible combinations of beverages that Mandy can buy to equal exactly 10 liters.

To find out the combination of beverages Mandy can buy to equal exactly 10 liters, we need to consider the different types of beverages and their volumes.

Let's say she has four options:

First, Mandy needs to buy at least one container of each beverage, which means she has already spent:

1 liter (soda) + 2 liters (juice) + 0.5 liters (water) + 0.25 liters (energy drink) = 3.75 liters

So she has 10 - 3.75 = 6.25 liters left to spend on additional containers of beverages.

Next, we can create a table to show the possible combinations of beverages that add up to 6.25 liters:

[check the attached image for the table]

Using this table, we can see that there are many possible combinations of beverages that Mandy can buy to equal exactly 10 liters. Here are a few examples:

- 6 containers of soda (6 liters) + 1 container of juice (2 liters) + 1 container of water (0.5 liters) + 5 containers of energy drink (1.25 liters) = 10 liters

- 4 containers of soda (4 liters) + 2 containers of juice (4 liters) + 8 containers of water (4 liters) = 10 liters

- 2 containers of soda (2 liters) + 3 containers of juice (6 liters) + 6 containers of water (3 liters) + 20 containers of energy drink (5 liters) = 16 liters (but Mandy would need to buy more containers to get exactly 10 liters)

There are many other possible combinations as well. The key is to make sure the total volume of all the containers adds up to exactly 10 liters.

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The range for this function is (0,800].

What is a geometric progression?

It is a sequence of terms in which the succeeding term is can be found out by multiplying with a constant non zero value.

here the first term is 800 as it is the initial price. We can see that the common ratio is less than 1 which is 0.82, hence its a decreasing progression.

so the maximum value in range is 800

as x tends to infinity the equation tends to 0

hence the funtion apporaches 0

so the range will be (0,800]

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Using geometric progression, the range for this function is (0,800].

A mathematical sequence known as a geometric progression (GP) is one in which each following phrase is generated by multiplying each preceding term by a fixed integer, or "common ratio."

This progression is sometimes referred to as a pattern-following geometric sequence of numbers.

Here the first term is 800 as it is the initial price. We can see that the common ratio is less than 1 which is 0.82.

Hence it's a decreasing progression.

So, the maximum value in the range is 800.

As x tends to infinity the equation tends to 0.

Hence, the function approaches 0

So the range will be (0,800].

Therefore, using a geometric progression, the range for this function is (0,800].

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A skewed right distribution is most likely to result in the mean being substantially smaller than the median.

The mean and median are measures of central tendency used to describe the center of a distribution. In a skewed right distribution, the tail of the distribution extends towards the right, indicating a larger number of smaller values and a few extremely large values. This distribution shape is also known as positively skewed.

When a distribution is skewed right, the mean is typically pulled towards the larger values in the tail, making it larger than the median. However, there are scenarios where the mean can be substantially smaller than the median in a skewed right distribution.

This occurs when there are extremely large values in the tail that significantly affect the mean, but the bulk of the distribution remains concentrated on the smaller side. As a result, the mean can be pulled downward, making it smaller than the median.

On the other hand, in a symmetric distribution or a skewed left distribution (negatively skewed), where the tail extends towards the left with a larger number of larger values and a few extremely small values, it is less likely for the mean to be substantially smaller than the median. In these cases, the mean is typically closer to or larger than the median.

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Answer:

C = 10

D = 5

Step-by-step explanation:

glad to help :D

Answer:

30 + 4 + .7 + .05

Step-by-step explanation:

You have to write them like that just like if you were to do 245 in expanded form it would be 200 + 40 + 5! Hope this helps!

Answer:

20 dimes and 10 quarters.

Step-by-step explanation:

Let Q and D stand for the numbers of Quarters and Dimes.  I'll use pennies in the calculation just to make it easier (without the decimal point clutter).

We are told that:

Q + D = 30

Rearrange to isolate one of the variables.  I'll pick Q:

Q = 30-D

We also know:

25Q + 10D = 450

Substitute the value we found for Q

25(30-D) + 10D = 450

750 - 25D + 10D = 450

-15D = -300

D = 20

Q = 30-D

Q = 10

==================================

Check:

20*(10) + (10*(25) = 450?

200 + 250 = 450  YES

Answer:

Step-by-step explanation:

assume x = original price

100% -15%= 75%

75% of x = 123

\(\frac{75}{100} * x = 123\\\\\frac{75x}{100} = 123\\\\75 x = 12300\\x = 164\)

A contest is a type of promotional marketing strategy that requires participants to submit their entries based on specific criteria or requirements. The correct answer to your question is "contest."

A long answer to your question is that when a group of individuals selects a particular consumer-submitted entry, it is called a contest.

The entries are then judged by a panel or group of individuals who select the best or most appropriate entry.

The winner of the contest may receive a prize or premium, such as cash, gift cards, or products.

Unlike a sweepstake, which randomly selects a winner, a contest is based on merit or creativity and involves a selection process.

Therefore, the correct answer to your question is "contest."

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Answer:

When you roll a 6-sided cube, numbered 1 to 6, the probability of rolling a 2 is 1:6. This is an example of theorectical probability.

Step-by-step explanation:

The probability of rolling a 2 on a 6-sided dice is  

1

6

The probability of rolling two 2s on two 6-sided die is, by the multiplication principle,  

1

6

×

1

6

=

1

36

Subjective is something that is based on personal opinion, so I think the answer is actually theoretical probability! Theoretical probability is a method to express the likelihood that something will occur. It is calculated by dividing the number of favorable outcomes by the total possible outcomes.

Hope this helps, have a good day :)

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Answer:

its 373248

Step-by-step explanation:

I got this by 2squared 9 and 3squared 6

The maximum number of regions (open or closed) formed by the lines if there are   the maximum number of regions (open or closed) formed by the lines is 56.

The maximum number of regions formed by n lines on a plane can be determined by using the formula for the maximum number of regions formed by n circles on a plane, which is:

R(n) = (n^2 + n + 2) / 2

In this case, we have 10 lines, so we can substitute n = 10 into the formula:

R(10) = (10^2 + 10 + 2) / 2

= (100 + 10 + 2) / 2

= 112 / 2

= 56

Therefore, the maximum number of regions formed by the 10 lines on the plane is 56.

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