Please help me anyone ??!!!!):

Answer:

y = \(\sqrt{55}\)

Step-by-step explanation:

using the Altitude- on- Hypotenuse theorem

(altitude)² = product of parts of hypotenuse

then

y² = 11 × 5 = 55 ( take square root of both sides )

y = \(\sqrt{55}\)

Down payment = down payment percent times purchase price.

The down payment is computed as down payment Equals down payment % times purchase price. For this computation, the down payment percentage must be converted to a decimal. Divide your annual interest rate by the amount of payments you’ll make. If your interest rate is 6% and you make monthly payments, divide 0.06 by 12 to get 0.005. Multiply that figure by your remaining loan balance to get how much interest you’ll pay that month.

The Excel PMT function is a financial function that computes loan payments based on a fixed interest rate, the number of periods, and the loan amount. The acronym “PMT” refers for “payment” hence the function’s name.

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There is only 1 possible 11-card hand that can be formed from a 20-card deck.

To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.

The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.

The formula for combinations is:

nCk = n! / (k!(n-k)!)

Where "!" denotes the factorial of a number.

Substituting the values into the formula:

20C11 = 20! / (11!(20-11)!)

Simplifying further:

20C11 = 20! / (11! * 9!)

Now, let's calculate the factorial values:

20! = 20 * 19 * 18 * ... * 2 * 1

11! = 11 * 10 * 9 * ... * 2 * 1

9! = 9 * 8 * 7 * ... * 2 * 1

By canceling out common terms in the numerator and denominator, we get:

20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)

Performing the multiplication:

20C11 = 39,916,800 / 39,916,800

Finally, the result simplifies to:

20C11 = 1

Consequently, with a 20-card deck, there is only one potential 11-card hand.

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The proof that the vertical angles provided in the image above are congruent is given below:

Statements                                                        Reasons

1. ∠2 and ∠4 are vert. angles                           (Given)

2. ∠2 and ∠3 are a linear pair                          (Definition of Linear Pair)

3. ∠3 and ∠4 are a linear pair                           (Definition of Linear Pair)

4. m∠2 + m∠3 = 180                                          Angle addition postulate

5. m∠3 + m∠4 = 180                                           Angle addition postulate

6. m∠2 + m∠3 = m∠3 + m∠4                             Subtraction property

7. m∠2 = m∠4                                                     Subtraction property

8. ∠2 ≅ 4                                                           Definition of Congruent Angles

When two lines connect, vertical angles are generated. The angles that are opposite each other in the four produced angles are vertical angles. They are also known as vertically opposed angles. These angles are never unequal.

Congruent angles are those of equal measure. Be a result, any angles of equal measure are referred to as congruent angles. They may be found in equilateral triangles, isosceles triangles, and where a transversal connects two parallel lines.

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In this case the answer is very simple . .

Step 01:

Data

(-4a + b - 2c) - (3a + 2b - c)

Step 02:

We must apply algebraic rules to simplify the expression

-4a + b - 2c - 3a - 2b + c

-7a - b - c

The answer is:

-7a - b - c

Answer:

X= 52

2X+24 =128

Step-by-step explanation:

128+52= 180

so

the ratio is 1/5280

2.

the ratio is 1/1000

the ratio is 1/100

the ratio is 12

Answer:

25

Step-by-step explanation:

a) To calculate SSTr, we need to first find the overall mean of the samples and then use it to calculate the sum of squares due to treatments (SSTr).

The overall mean of the samples can be found by adding up all the sample means and dividing by the number of samples:

Overall mean = (650 + 750 + 700 + 650) / 4 = 687.5

Next, we can calculate SSTr using the formula:

SSTr = n * (sample mean - overall mean)^2

where n is the number of observations in each sample. In this case, n = 5 for each sample.

So for the first sample, SSTr = 5 * (650 - 687.5)^2 = 5362.5

For the second sample, SSTr = 5 * (750 - 687.5)^2 = 14062.5

For the third sample, SSTr = 5 * (700 - 687.5)^2 = 3062.5

For the fourth sample, SSTr = 5 * (650 - 687.5)^2 = 5362.5

Therefore, the total SSTr is:

SSTr = 5362.5 + 14062.5 + 3062.5 + 5362.5 = 27750

b) The degrees of freedom (df) for SSTr is k-1 where k is the number of groups/populations, and df for SSE is N-k where N is the total number of observations.

df(SSTr) = k - 1 = 5 - 1 = 4

df(SSE) = N - k = 20 - 5 = 15

The mean square for treatments (MSTr) is calculated as:

MSTr = SSTr / df(SSTr) = 12 / 4 = 3

The mean square for error (MSE) is calculated as:

MSE = SSE / df(SSE) = (20 - 5) / 15 = 1

Finally, we can calculate the F-test statistic as:

F = MSTr / MSE = 3 / 1 = 3

Therefore, the MSTr is 3, the MSE is 1, and the F-test statistic is 3.

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Answer:

40320 different surveys would be necessary ...

Step-by-step explanation:

let's start small :

how many are required for 2 questions ?

well, 2 (we can either ask question 1 first and then question 2, or question 2 first and then question 1).

how many for 3 questions ?

well, we have a choice of 3 questions to be asked first. but then for the second and third question we are back in the previous problem of 2 (remaining) questions.

so, we multiply the 3 initial options with the 2 following options. 3×2 = 6

how many for 4 questions ?

well, we have a choice of 4 questions as first question, and then fit the rest we are back in the previous problem of 3 questions. 4×3×2 = 24

you see the pattern ?

yes, that continues as far as we want to go.

for our example the problem was about 8 questions.

so,

8×7×6×5×4×3×2 = 8! = 40320

Answer:

0.93

Step-by-step explanation:

Answer:

Step-by-step explanation:

If the diameter is 4 meters, then the radius has to be 2 because the radius is half of the diameter.

Answer: cos∅= \(\frac{\sqrt{7} }{4}\)

Step-by-step explanation:

All numbers are positive because it is first quadrant.  Draw a line out.

sin = opp/hypotenuse.  the opposite line of the angle (y) =3

and hypotenuse=4

use pythagorean theorem to find x

4²=3²+x²

\(x=\sqrt{7}\)

now use cos=adjacent/hypotenuse

cos∅= \(\frac{\sqrt{7} }{4}\)

Answer:

3/20

Step-by-step explanation:

3/20 is .15 in the simplest fraction form

The missing features of the Venn diagram include the following:

I=472, II=449 ,IV=459 ,V=218 , VI=456,

A Venn diagram is a circular illustration of how variables are interrelated to each other.

To solve for I;

Total number of students taking dance = 1031

Total number of students taking science and dance= 449

Total number of students taking all three courses= 218

Total number of students taking science and English = 459

Therefore, the number of students taking only science;

I =( II-V)+ (IV-V)

I= (449-218)+(459-218)

I = 231+241

I= 472

The number of students that took Science, Dance, or English =V= 218

The number of students took Dance and English, but not Science = VI = 456

The number of students took Science or didn't take Dance = IV = 459

The number of students took none of the courses = VIII = U

The number of students took Science or English, but not Dance = 459 students.

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Answer: To solve the rational inequality:

x+1 / x−3 ≤ 0

We can start by finding the critical points of the inequality by setting the numerator and denominator equal to zero:

x + 1 = 0 => x = -1

x - 3 = 0 => x = 3

These critical points divide the number line into three intervals: (-infinity, -1), (-1, 3), and (3, infinity). We can then test each interval to determine whether the inequality is true or false.

Testing the interval (-infinity, -1), we choose a test point x = -2:

(-2 + 1) / (-2 - 3) = -1/5 < 0

Therefore, this interval satisfies the inequality.

Testing the interval (-1, 3), we choose a test point x = 0:

(0 + 1) / (0 - 3) = -1/3 > 0

Therefore, this interval does not satisfy the inequality.

Testing the interval (3, infinity), we choose a test point x = 4:

(4 + 1) / (4 - 3) = 5 > 0

Therefore, this interval satisfies the inequality.

So, the solution to the inequality is:

x ∈ (-∞, -1] ∪ (3, ∞)

In interval notation, this solution is (-∞, -1] U (3, ∞).

Step-by-step explanation:

A small p-value indicates that the observed data is unlikely to have occurred by chance if the null hypothesis is true

Finding a small value of the p-value typically indicates evidence against the null hypothesis, not in favor of it. The cutoff for a small p-value is usually set at 0.05, which means that in a random sample, a p-value of 0.05 or smaller would only occur about 5% of the time if the null hypothesis is true. Therefore, if the calculated p-value is smaller than 0.05, it suggests that the observed data is unlikely to be due to chance alone, and provides evidence against the null hypothesis.

The value of 1.96 is associated with a 95% confidence level and is used to calculate the critical value of the test statistic in a hypothesis test. If the calculated t-statistic is less than 1.96, it would suggest that the observed data is not significant enough to reject the null hypothesis. On the other hand, if the calculated t-statistic is greater than 1.96, it would suggest that the observed data is significant enough to reject the null hypothesis.

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Answer: the required sample size = 155

Step-by-step explanation:

If the standard deviation of the prior study is known, then the formula to compute required sample size:

\(n=(\frac{z^*\times\sigma}{E})^2\), where E = Margin of error, z* = Critical value, \(\sigma\) =  populion standard deviation.

Given: E = 3.7 , \(\sigma=28\)

Critical value for 90% confidence = 1.645

Required sample size: \(n=(\frac{1.645\times28}{3.7})^2\)

\(n=(12.4486486486)^2\approx155\)

Hence, the required sample size = 155

Explanation:

x = the unknown number

19x = the product of 19 and the unknown number

x+3 = the unknown number increased by 3

Set those two expressions equal to one another. Isolate x.

19x = x+3

19x-x = 3

18x = 3

x = 3/18

x = 1/6

The unknown number is the fraction 1/6.

Their house will be worth approximately $240,154.57 in 8 years.

Non of the options is correct.

To determine how much their house will be worth in 8 years, we can substitute the value of t = 8 into the exponential equation:

y = 150,000(1.004)^(12t)

y = 150,000(1.004)^(12*8)

y = 150,000(1.004)^96

Using a calculator or computer software to evaluate the exponential expression, we find:

y ≈ 150,000 * 1.601030475

y ≈ 240,154.57

None of the provided answer choices match the calculated value. However, we can examine the available options and make an estimation:

A) $240,000: This option is very close to the calculated value of $240,154.57 and is a reasonable estimate.

B) $220,000: This option is significantly lower than the calculated value and is not a close estimate.

C) $1,258,884: This option is significantly higher than the calculated value and is not a close estimate.

D) $14,457,600: This option is extremely higher than the calculated value and is not a realistic estimate.

Based on the provided answer choices, option A) $240,000 is the closest estimate to the calculated value of $240,154.57. However, please note that the actual value may vary depending on the specific calculations and rounding methods used.

Non of the options is correct.

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Answer:

8

Step-by-step explanation:

\(\huge\fbox{Answer ☘}\)

\(\bold\blue{( - 8z) {}^{2} } \\\bold{ = > 64z {}^{2} }\)

hope helpful~

The simplified form of the expression is given as  64z^2

Given the indices expression

(-8z)^2

This can be simplified as:

(-8z)^2 = (-8)^2 * z^2

(-8z)^2 = 64 * z^2

(-8z)^2 = 64x^2

Hence the simplified form of the expression is given as  64z^2

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Answer:

7/16

Step-by-step explanation:

(2+5)/(2+3+5+6) = 7/16

The probability of either a yellow or a red ball being drawn if only one is drawn is 7/16.

The probability is the measure of the likelihood of an event to happen. It measures the certainty of the event. The formula for probability is given by; P(E) = Number of Favourable Outcomes/Number of total outcomes.

According to the given question.

Numnber of yellow balls = 2

Number of green balls = 3

Number of red balls = 5

Number of black balls = 6

So,

The total number of balls in a bag = 2+ 3+ 5 + 6 = 16

And,

The sum of yellow and red ball = 2 + 5 = 7

Therefore,

The probability of either a yellow or a red ball being drawn if only one ball is drawn

= \(\frac{total\ number\ of \ red \ and \ yellow\ balls }{Total\ number\ of \ balls}\)

\(= \frac{7}{16}\)

Hence, the probability of either a yellow or a red ball being drawn if only one is drawn is 7/16.

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Answer: 27 x 1/3

Step-by-step explanation: 27/1 x 1/3 = 9 orchards per store

The number of orchards in each store will be 27 x (1/3). Then the correct option is A.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

John manages 27 apple orchards in North Georgia. He wants to split the orchards into thirds so that he can open 3 local stores.

Then the number of orchards in each store will be

⇒ 27 / 3

Then the expression can be written as,

⇒ 27 x (1/3)

The number of orchards in each store will be 27 x (1/3). Then the correct option is A.

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Answer= 144

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

for the first question

solve for t:t= square root of 2da/a (2da over a)

Solve for a : a= 2d/t squared

Solver for d: d=t squared /2(over 2)

Step-by-step explanation:

Let's determine which part of the given graph are the given choices be found:

A graph that shows an increasing function must be an inclined line rising from left to right.

Among the given intervals, only the interval B or interval 1 to 3 shows an increasing graph.

Therefore, the answer is letter B.

Answer: y=1.25

Step-by-step explanation:

First things first you have to find what is in the bracket things (i don’t know what it’s called) So 3 - 7 is -4y but since it’s absolute it’s going to be 4y.

So now you’ve got 4y - 10 = -5. Your going to want to eliminate 10 so, subtract 10 to both sides giving you 4y = -5

Lastly to get y by itself you need to divide it by its self so, 4y divided by 4. Do it to both sides. This gives you…

Y = 1.25