the black graph is the graph of y=f(x). choose the equation for the red graph

Using a t-distribution calculator, it is found that the t-value is t = 1.328.

option (d) is correct.

To ascertain if a claim about a population parameter is true or false, statisticians utilize hypothesis testing.

We usually create a null hypothesis and an alternative hypothesis before conducting a hypothesis test, and these take the following forms:

H0, or the null hypothesis Parameter for the population =, some value

Alternative Hypothesis: Some Value for Population Parameter, >

Two different kinds of hypothesis tests exist:

a test with one tail The alternative hypothesis has either the sign or

Test with two-tailed: Alternative hypothesis has the sign

The alternative hypothesis always contains the not equal sign in a two-tailed test.

This means that we are examining the existence of an effect, whether it be a good or negative effect.

Sample size, n= 20.

Degree of freedom, df=n-1,

df=20-1=19

α=.2

Using the T-distribution calculator :

Since it is two-tailed:

Tα/2 ; 19 = T0.2/2 ; 19 = T0.1, 19 = 1.3277 = 1.328

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Answer:

for me it is a circle

Step-by-step explanation:

Answer:

160

Step-by-step explanation:

128+32+160

a.

= (5x)² - 3 = 25x² - 3

- 5f(x) = 5(x² - 3) = 5x² - 15

b.

- f(x - 2) = (x - 2)² - 3 = x² - 4x + 1

- f(x) - f(2) = (x² - 3) - (2² - 3) = x² - 3 - 1 = x² - 4

a. To calculate f(5x), we substitute 5x into the function f(x) and simplify the expression.

  f(5x) = (5x)² - 3 = 25x² - 3

  To calculate 5f(x), we multiply the function f(x) by 5.

  5f(x) = 5(x² - 3) = 5x² - 15

b. To calculate f(x - 2), we substitute (x - 2) into the function f(x) and simplify the expression.

  f(x - 2) = (x - 2)² - 3 = x² - 4x + 4 - 3 = x² - 4x + 1

  To calculate f(x) - f(2), we evaluate f(x) and f(2) separately and then find their difference.

  f(x) = x² - 3

  f(2) = 2² - 3 = 4 - 3 = 1

  f(x) - f(2) = (x² - 3) - (2² - 3) = x² - 3 - 1 = x² - 4

For the difference quotient of f(x) = -7x² - 5x + 9, we can calculate it as follows:

Difference quotient = [f(x + h) - f(x)] / h

Expanding the function and substituting into the difference quotient formula, we have:

[f(x + h) - f(x)] / h = [-7(x + h)² - 5(x + h) + 9 - (-7x² - 5x + 9)] / h

Simplifying and expanding further:

= [-7(x² + 2hx + h²) - 5x - 5h + 9 + 7x² + 5x - 9] / h

= [-7x² - 14hx - 7h² - 5x - 5h + 9 + 7x² + 5x - 9] / h

= [-14hx - 7h² - 5h] / h

= -14x - 7h - 5

The difference quotient of f(x) = -7x² - 5x + 9 is -14x - 7h - 5.

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Answer:

approximately 4.36

Step-by-step explanation:

Simplify the expressions inside the parentheses first:

(10 + 43 - 5) = 48

(6 + 5) = 11

48 divided by 11 = 4.36 (rounded to two decimal places)

Therefore, (10 + 43 - 5) divided by (6 + 5) is equal to approximately 4.36.

It will take approximately 4.4 years to earn enough money to go on the trip if we invest our 2200 in a savings account with a 1.55% interest rate compounded annually.

First, we need to calculate the amount of money that we need to save in order to cover the cost of the trip. This can be done by subtracting the amount we have already saved from the total cost of the trip:

Total cost of trip = 2500

Amount already saved = 2200

Amount to save = 2500 - 2200 = 300

Next, we can use the compound interest formula to calculate how long it will take to earn 300 with an interest rate of 1.55% compounded annually. We can set up the formula as follows:

A = P(1 + i)n

where:

A = accumulated amount = 300 + 2200 = 2500 (the total cost of the trip)

P = principal = 2200

i = interest rate per year = 1.55%

n = number of years we need to save for

We can now solve for n:

2500 = 2200(1 + 0.0155)n

Divide both sides by 2200:

1.13636 = 1.0155n

Take the natural logarithm of both sides:

ln(1.13636) = n ln(1.0155)

Divide both sides by ln(1.0155):

n = ln(1.13636)/ln(1.0155) ≈ 4.4 years

Therefore, it will take approximately 4.4 years to earn enough money to go on the trip if we invest our 2200 in a savings account with a 1.55% interest rate compounded annually.that we rounded our final answer to the nearest tenth as instructed.

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Answer:

11_100

0.11

iam not sure

best of luck

Answer:

x=5

Step-by-step explanation:

hey there

the angles given are corresponding angles meaning that they are congruent

so we set up an equation

23x-5=21x+5

step 1 subtract each side by 5

5-5 cancels out

-5-5=-10

now we have

23x-10=21x

step 2 subtract each side by 23x

21x-23x=-2x

now we have

-2x=-10

step 3 divide each side by 2

-10/-2=5

so we can conclude that

x=5

Answer:

I was right after all. 175°

Step-by-step explanation:

EXPLANATION

Let's see the facts:

Ipad pen cost = -$105

Best friend ----> +$12

---------------

-$93

Babysitting Saves +$20/week

We are still needing $93 dollars to buy the pen, so, if she earns $20 peer week, then she should work:

$93 = 20 $/week * number of weeks

Calling x to the number of weeks and turning this into an inequality:

12 + 20x ≥ 105

Subtracting -12 to both sides:

20x ≥ 105-12

Simplifying:

20x ≥ 93

Dividing both sides by 20:

x ≥ 93/20

Simplifying:

x ≥ 4.65

Answer: Amelia should at least work 5 weeks in order to save the money to buy the Ipad pen.

x = 242.7 m

Step-by-step explanation:

First we need to find the angle at one of the parachutists:

180 - 57 - 43 = 80°

We then use sine law to find the distance between the parachutists

\( \frac{x}{ \sin(57) } = \frac{285 \: m}{ \sin(80) } \)

Solving for x

\(x = (\frac{ \sin(57) }{ \sin(80) } )(285 \: m) = 242.7 \: m\)

Using the method of separation of variables. The graph of x(t) = 100 - 20e^(-2t) will be a curve that starts at x(0)=80 and approaches x=100 as t increases. The value of t for which x(t)=60 is t = -ln(2)/2.

To solve the equation x′=2(100−x) with the initial condition x(0)=80, we can use the method of separation of variables.  Here are the steps:

1. Start with the given equation: x′=2(100−x)
2. Separate the variables: dx/(100-x) = 2dt
3. Integrate both sides: ∫dx/(100-x) = ∫2dt => -ln|100-x| = 2t + C
4. Solve for x: 100-x = e^(-2t-C) => x = 100 - e^(-2t-C)
5. Use the initial condition x(0)=80 to find the value of C: 80 = 100 - e^(-2(0)-C) => e^(-C) = 20 => C = -ln(20)
6. Substitute the value of C back into the equation for x: x = 100 - e^(-2t+ln(20))
7. Simplify the equation: x = 100 - 20e^(-2t)

Now sketching the solution on a piece of paper. The graph of x(t) = 100 - 20e^(-2t) will be a curve that starts at x(0)=80 and approaches x=100 as t increases.

To find the value of t for which x(t)=60, we can set x=60 in the equation and solve for t:

60 = 100 - 20e^(-2t) => 20e^(-2t) = 40 => e^(-2t) = 2 => -2t = ln(2) => t = -ln(2)/2

Therefore, the value of t for which x(t)=60 is t = -ln(2)/2.

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The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent

To determine the correct statement, we need to know the properties of a parallelogram.

These properties includes;

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Yes, I agree with Tyler. The system of equations given by x+y=5 and x+y=7 represents two parallel lines in a 2D coordinate plane.

The first equation x+y=5 represents a line passing through the points (5, 0) and (0, 5).

The second equation x+y=7 represents a line passing through the points (7, 0) and (0, 7).

Since the lines are parallel and have the same slope, they never intersect, and there is no solution that satisfies both equations simultaneously.

Therefore, Tyler is correct in saying that the system has no solution.

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SOLUTION

TO DETERMINE

84 as a product of primes.

Use index notation to write the number

EVALUATION

Here the given number is 84

We prime factorise the given number

84 = 2 × 2 × 3 × 7

Number of 2's = 2

Number of 3's = 1

Number of 7's = 1

Rewriting the given number in index form we get

━━━━━━━━━━━━━━━━

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2. if one bee drinks 1ml honey then how much honey 1000 bees will drink??

To calculate the annualized rate of return, we can use the formula for compound interest. The correct answer is 11.66%.

The formula for compound interest is given by: A = P(1 + r)^t, where A is the final amount, P is the principal amount, r is the annual interest rate, and t is the time in years.

In this case, the initial investment (P) is BD 14,000, the final amount (A) is BD 52,600, and the time (t) is 12 years. We need to solve for the annual interest rate (r).

\(BD 52,600 = BD 14,000(1 + r)^{12}\)

By rearranging the equation and solving for r, we find:

\((1 + r)^{12} = 52,600/14,000\)

Taking the twelfth root of both sides:

\(1 + r = (52,600/14,000)^{(1/12)}\\r = 0.1166 / 11.66 \%\)

Therefore, Areej has earned an annualized rate of approximately 11.66% on this investment.

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Answer:

Option (4)

Step-by-step explanation:

See attached image.

(C) Regression analysis is the statistical method commonly used to estimate the level and trend in a time series by modeling the relationship between the data and independent variables.

Regression analysis is the statistical method used to estimate the level and trend in a time series. Time series data represents observations taken at different points in time and is commonly used to analyze trends and patterns over time.

Regression analysis allows us to model the relationship between a dependent variable (in this case, the time series data) and one or more independent variables (such as time or other relevant factors). By using regression analysis, we can identify the underlying trend in the time series and estimate its level.

The regression model captures the relationship between the dependent variable (the time series) and the independent variable(s) by fitting a line or curve that best represents the data. This line or curve helps to identify the overall trend and level of the time series.

While moving average, simulation method, covariance analysis, and correlation analysis are useful techniques in analyzing time series data, they are not specifically designed to estimate the level and trend in a time series. Therefore, (C) regression analysis is the most appropriate method for estimating the level and trend in a time series.

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Step-by-step explanation:

8x + 3y = 7 --------(1)

2x + y = 2 ----------(2)

y = 2 – 2x ---------(3)

just substitute for y in equation (1)

8x + 3(2–2x) = 7

8x + 6 – 6x = 7

8x – 6x + 6 = 7

2x = 7 – 6

2x = 1

x = ½

since x = ½ just substitute for x in equation(3)

y = 2 – 2x

y = 2 – 2(½)

y = 2 – 1

y = 1

so x = ½,y = 1

i hope this helped

Answer:

15

Step-by-step explanation:

"There is a two-digit number such that the sum of its digits is 6"

The digits can be

0, 6   possible numbers: 06, 60

1, 5    possible numbers: 15, 51

2, 3    possible numbers: 23, 32

3, 3     possible numbers: 33

"the product of the digits is 1/3 of the original number"

That means we need a number that is 3 times the product of the digits.

0, 6   product of the digits: 0     3 times product: 0

1, 5    product of the digits: 5     3 times product: 15

2, 3    product of the digits: 6     3 times product: 18

3, 3     product of the digits: 9     3 times product: 27

The only number that appears with both conditions is 15.

Answer: 15

The coefficient a in the factorization [ x²+a x y+b y²=(x+5 y)(x-4 y) ] is -1. The correct answer is C

Terms are the sum of the numbers or variables, factors are the sum of the numbers or variables multiplied, and coefficient is the number multiplied by the variable.

To find the coefficient a, we can expand the right side of the equation and compare it to the left side.

Expanding the right side gives us: [ (x+5 y)(x-4 y)=x²-4 x y+5 x y-20 y² ]

Simplifying the right side gives us: [ x²+x y-20 y² ]

Comparing this to the left side of the equation, we can see that the coefficient a is -1.

Therefore, the correct answer is c. ( -1 ).

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Answer:

(a+9)(a-9)

Step-by-step explanation:

Both terms are perfect squares, use the difference of squares formula

a^2-b^2=(a+b)(a-b) where a=a and b=9

On September 15, Jerome, Incorporated purchased debt investments as trading securities at a cost of $8,850.

The journal entry for this transaction would include the following accounts: "Debt Investments" and "Cash." Since Jerome, Incorporated purchased debt investments as trading securities, the "Debt Investments" account will be debited to record the increase in the asset. The "Cash" account will be credited to reflect the outflow of cash due to the purchase.

The journal entry would be as follows:

Date: September 15

Account Debit ($) Credit ($)

Debt Investments 8,850

Cash 8,850

By debiting the "Debt Investments" account, we increase the value of the investment on the company's balance sheet. The corresponding credit to the "Cash" account shows the decrease in cash resulting from the purchase. This journal entry accurately records the acquisition of debt investments as trading securities by Jerome, Incorporated on September 15.

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Answer:

y - 10 = -1 (x+4)

y = - x + 6

Step-by-step explanation:

y - 10 = - 1 (x - - 4)

y - 10 = -x - 4

y = -x - 4 + 10

The domain and range of this square root function y = 5/2√(-5x + 1) - 87 are as follows;

Domain = {x|x ≤ 1/5}.

Range = {y|y ≥ -87}.

The domain and range of this square root function y = -315√(11x - 3) - 15/88 are as follows;

Domain = {x|x ≥ 3/11}.

Range = {y|y ≤ -15/88}.

In Mathematics and Geometry, a domain refers to the set of all real numbers for which a particular function is defined.

Additionally, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph shown in the image attached below for the given square root function y = 5/2√(-5x + 1) - 87 and y = -315√(11x - 3) - 15/88, we can reasonably and logically deduce the following domain and range:

Domain = {-∞, 1/5} or {x|x ≤ 1/5}.

Range = {-87, ∞} or {y|y ≥ -87}.

Domain = {3/11, ∞} or {x|x ≥ 3/11}.

Range = {-∞, -15/88} or {y|y ≤ -15/88}.

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Answer:

180

Step-by-step explanation:

6 different letters.

we need to pick groups of 4.

no repetitions, but the sequence matters (code words), as e.g. RAGE is different to GEAR, although they contain the same letters.

so, we need basic permutations (instead of combinations) :

P(6, 4) = 6! / (6 - 4)! = 6! / 2! = 6×5×4×3 = 360

that is simply because regularly we would have 6 choices for the first letter, then 5 for the second, 4 for the third, and 2 for the fourth letter.

the second to the last letter is the second letter from the left in a 4-letter word.

so, we have 3 vowels for that second position.

normally, such a restriction would mean

6×3×4×3 = 216 possibilities.

but we have to distinguish the 2 cases that we pick a vowel for the first position - or not.

if not, we have 3 consonants for the first, 3 vowels for the second position as options.

if yes, we have 3 vowels for the first and 2 vowels for the second position.

that means we get

3×3×4×3 + 3×2×4×3 = 108 + 72 = 180

possibilities.

this makes also sense, when we simply say that this restriction eliminates half of our possible permutations (all with a consonant in the second position) : 360/2 = 180.

The child passes through 18π radians in the course of the carousel ride.

To determine the number of radians the child passes during the 6-minute ride on the carousel, we need to know the distance traveled in terms of radians.

Since there are 20 horses spaced evenly around the carousel, each horse is separated by an angle of 360/20 = 18 degrees or π/10 radians.

Therefore, during one rotation of the carousel, the child passes through 20π/10 = 2π radians. And since the carousel completes one rotation every 40 seconds, the angular velocity is 2π/40 = π/20 radians per second.

To find the total distance traveled in radians during a 6-minute ride, we need to multiply the angular velocity by the time elapsed.

6 minutes is equal to 360 seconds,

so the child passes through π/20 x 360 = 18π radians during the ride.

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Answer:

For the first one, the answer would be:

2/3 * 3/8 = 6/24 because,  all you have to do is multiply straight across.

2 * 3 = 6 and 3 * 8 = 24

6/24 can be simplified to 1/4 because 6 with go into the denominator 4 times, so the simplified fraction will be 1/4.

(Im not so sure what to do about the second one, so I would need to see what the options look like)

For the third:

The answer would be 3/3, because:

2 * 3 = 6

5 * 3 = 15

And the result fraction is 6/15, which matches what the image shows!

Step-by-step explanation:

Hope it helps! =D