Translate the shape A three squares right and one square down.
What are the coordinates of the vertices of the image?

we can conclude that the last digit of the product of all the numbers between 11 and 29 is 0.

Here we want to find the last digit of the product between all the whole numbers larger than 11 and smaller than 29.

Then we have the product:

P = 12*13*14*15*16*17*18*19*20*21*22*23*24*25*26*27*28

Now, notice that there is a 20 there.

Any number times 20 will end with a zero, then:

P = 20*(12*13*14*15*16*17*18*19*21*22*23*24*25*26*27*28)

Only with that, we can conclude that the last digit of the product of all the numbers between 11 and 29 is 0.

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Answer:

14.29% probability that washing dishes tonight will take between 14 and 15 minutes.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X between c and d is given by the following formula.

The time it takes me to wash the dishes is uniformly distributed between 11 minutes and 18 minutes.

This means that

What is the probability that washing dishes tonight will take me between 14 and 15 minutes?

14.29% probability that washing dishes tonight will take between 14 and 15 minutes.

Answer:

x = 43 1/3 degrees

Step-by-step explanation:

sum of interior angles in a triangle = 180 degrees

30 + (3x - 9) + 29 = 180

30 + 29 + (3x - 9) = 180

59 + (3x - 9) = 180

(3x - 9) = 180 - 59

(3x - 9) = 121

3x = 121 + 9

3x = 130

x = 43 1/3

The height of the kite is approximately 68.4 ft.

To solve the problem, we can use trigonometry. We know that the string is the hypotenuse of a right triangle, with the height of the kite as one of the legs. The angle of elevation, which is the angle between the string and the ground, is also given. We can use the tangent function to find the height of the kite:

tan(46°) = height / 94

Solving for height, we get:

height = 94 * tan(46°)

Using a calculator, we get:

height ≈ 68.4 ft

Therefore, the height of the kite is approximately 68.4 ft.

We use the given angle of elevation and the length of the string to set up a right triangle with the height of the kite as one of the legs. Then, we use the tangent function to relate the angle to the height of the kite. Finally, we solve for the height using a calculator and round to the nearest tenth as requested.

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Complete Question:

A kite flying in the air has a 94-ft string attached to it, and the string is pulled taut. The angle of elevation of the kite is 46 °. Find the height of the kite. Round your answer to the nearest tenth.

Answer:

Step-by-step explanation:

2590

The term that is not affected the standard error of an estimator is population size, from the provide data in options. So, option (c) is right one.

The standard error is a statistical term that used to measured the accuracy that a sample distribution represents a population by using standard deviation. The standard error(SE) is very similar to standard deviation of a distribution. Both are used to measure the spread of distribution. Higher the value SE, the more spread out your data is. In statistical way, standard error is also called standard error of mean, SEM, it represents the deviation of sample mean deviates from the actual mean of a population.

It is calculated simply by dividing the standard deviation by the square root of the sample size. That is \(SE = \frac{σ }{\sqrt{n}}\)

where , n --> sample size

σ --> population standard deviations

Now, from the above formula it is clearly seen that standard error term or an estimator affected by sample size (n) and population standard deviations ( σ). So, right choice for answer is population size.

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Complete question:

standard error of an estimator is not affected by the multiple choice question.

a) population standard deviation

b) sample size

c) population size

a. Null distribution is expected to be centered at the hypothesized proportion, which is 0.25.

b. Null distribution is expected to be centered at 25.

a. If you are using a proportion as your statistic, you expect the null distribution to be centered at the hypothesized proportion, which is 0.25 in this case.

b. If you are using a count as your statistic, you expect the null distribution to be centered at the expected count, which is np under the null hypothesis, where n is the sample size and p is the hypothesized proportion. In this case, np = 100 * 0.25 = 25.

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The probability of the given security code is as follows:

C. 1/30,240.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is then calculated as the division of the number of desired outcomes by the number of total outcomes.

5 digits are taken from a set of 10, and the order is relevant, hence the total number of passwords is given as follows:

P(10,5) = 10!/(10 - 5)! = 30240.

Hence the probability is given as follows:

C. 1/30,240.

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Answer:

Step-by-step explanation: Its 6x, you add the 6 + 1 then keep the x.

Answer: uhm- I think ####

Step-by-step explanation: it taggd it out

Answer:

1.56 dollars

Step-by-step explanation:

Answer:

$1.58

Step-by-step explanation:

1.89+.74+.79= 3.42

5.00-3.42= 1.58

The number of plants Ethan has are 5.

Two or more expressions with an Equal sign is called as Equation.

Let x be the number of plants Ethan has.

Ethan uses 3.5 ounces of water for each plant, so he will use a total of 3.5p ounces of water.

If he starts with 32 ounces of water and ends up with 14.5 ounces

Total of 32 - 14.5 = 17.5 ounces of water.

As given the amount of water used is equal to the amount of water per plant times the number of plants:

3.5x = 17.5

Divide both sides by 3.5

x=5

Hence, , Ethan has 5 plants.

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Given :

ATQ,

the volume of the model is thrice the height of the model

so,

the volume of the statue would be thrice it's height

hence,the height of the statue would be 13,500 cm

Answer:

\(y=\frac{1}{12}x-\frac{26}{3}\)

Step-by-step explanation:

\(y+9=\frac{1}{12}(x+4) \\ \\ y+9=\frac{1}{12}x+\frac{1}{3} \\ \\ y=\frac{1}{12}x-\frac{26}{3}\)

The statistics indicate that the assumption that the four populations have the same standard deviation has been broken.

a. This research was done via observation.

False, as this is a test. (unlike what Alex89 says). The response variable (minutes of rest) is then recorded because the researcher randomly assigns the fruit flies to one of the treatments, using a TREATMENT, and records the response variable.

b. The statistics indicate that the assumption that the four populations have the same standard deviation has been broken.

False: There is no deviation from the equality of standard deviations. We DO NOT need to test this assumption when the sample sizes are equal. Even if we did, 29.61/19.08 = 1.55 2 means that the greatest standard deviation is less than twice the lowest standard deviation. We are therefore okay.

c. Because ANOVA needs sample sizes, it may be applied to this data are equal.

False - The ANOVA does NOT require equal sample sizes.

3. The correct option is D, For this example, we notice that 3) None of the above

(4) The correct is option A, which states that 4) the population mean rest is the same for all four caffeine concentrations.

Statistics provides a framework for making informed decisions based on data by using methods such as probability theory, hypothesis testing, regression analysis, and statistical modeling. The importance of statistics lies in its ability to transform raw data into meaningful information that can be used to make decisions, develop policies, and solve problems in a wide range of fields, including business, healthcare, government, and social sciences.

Statisticians use various tools and techniques to summarize and describe data, identify patterns and relationships, and make predictions and inferences. They also play a critical role in designing experiments, surveys, and observational studies, ensuring that they are statistically sound and produce reliable results.

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Complete Question:-

An experiment to help determine if insects sleep gave caffeine to fruit flies to see if it affected their rest. The three treatments were a control, a low caffeine dose of 1 mg/ml of blood, a medium dose of 3 mg/ml of blood, and a higher caffeine dose of 5 mg/ml of blood. Twelve fruit flies were assigned at random to the four treatments, three to each treatment, and the minutes of rest measured over a 24-hour period was recorded. The data follow.

Treatment Minutes of rest

Control 450 413 418

Low dose 466 422 435

Medium dose 421 453 419

High dose 364 330 389

Assume the data are three independent SRSs, one from each of the four populations of caffeine levels, and that the distribution of the yields is Normal.

A partial ANOVA table produced by Minitab follows, along with the means and standard deviation of the yields for the four groups.

One-way ANOVA: Rest versus Caffeine

Source DF SS MS F P

Caffeine 11976

Error 538.75

Total

Level N Mean StDev

Control 3 427.00 20.07

Low 3 441.00 22.61

Medium 3 431.00 19.08

High 3 361.00 29.61

3. For this example, we notice that 3) __________

a. this is an observational study.

b. the data show evidence of a violation of the assumption that the four populations have the same standard deviation.

c. ANOVA can be used on these data because ANOVA requires the sample sizes are equal.

d. None of the above

4. The null hypothesis for the ANOVA F test is that 4) __________

a. the population mean rest is the same for all four levels of caffeine.

b. the population mean rest is increasing as the caffeine level gets larger.

c. the population mean rest is decreasing as the caffeine level gets larger.

d. the population mean rest is largest for the high level of caffeine.

Answer:

60

Step-by-step explanation:

Make 4.20 to 420

Make 0.07 to 7

We do this so they can be whole numbers not decimals. (also because it is easier)

420÷7=60

60

I hope this helped! :)

Answer:

31.2

Step-by-step explanation:

Hope it helps !!:)

Answer:

x=13/8

Step-by-step explanation:

8x-12=1

8x=13

x=13/8

Answer & Step-by-step explanation:

Step 1: Use the distributive property

\(4(2x)+4(-3)=1\\\\8x-12=1\)

Step 2: Use the inverse property. Add 12 to both sides.

\(8x-12+12=1+12\\\\8x=13\)

:Done

Step 3: Inverse operations. Divide both sides by 8.

\(\frac{8x}{8}=\frac{13}{8}\\\\x=\frac{13}{8}\)

Answer:

step 4

Step-by-step explanation:

Answer:

i just took the the test and it was step 3

Step-by-step explanation:

The total amount of paint Aubrey used is more than 1/2 liter but less than 1 liter

To estimate the total amount of paint that Aubrey used for both the mural and the wall, we can add the fractions of paint used

So, we have

Total = 4/7 + 2/10

Evaluate the sum in decimals

This gives

Total = 0.77 (approximated)

This value is between 0.5 liters and 1 liter

Hence, the estimate is between 0.5 liters and 1 liter

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Complete question

Aubrey used 4/7 liter of paint for a mural in her room and 2/10 for a wall in her bathroom.

Determine a reasonable estimate for the total amount of paint Aubrey used

Answer: B or the one that is more than 1/2 but it is less than 1

Step-by-step explanation: Took quiz on khan

Answer: B

Step-by-step explanation: Hope this help :D

Mai's bike ride was 1.5 times the length of Noah's bike ride

Fractions: A numerical value that designates a portion of a whole is used to represent fractions. A fraction is a component or section taken from a whole, which can be any number, a certain amount, or an object.

Distance travelled by Mai in miles = 6 3/4 miles

Distance of Mai in improper fraction = 27/4

Distance travelled by Noah in miles = 4 1/2

Distance of Noah in improper fraction = 9/2

Length of Noah's bike ride as compared to Mai's bike ride = (27/4)/(9/2)

= 27/4*2/9

= 3/2 or 1.5 times

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The monthly payment for this loan is 291.735

Given,

Faith is taking an $8,100.

and, 2.5 year loan with an APR of 3.22%.

To find the monthly payment for this loan.

Simple Interest:-

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

A(t) = A(0)(1 + rt)

In which:

A(0) is the initial amount.

r is the interest rate, as a decimal.

In this problem, the parameters are A(0) = 8100, r = 0.0322, t = 2.5, hence, the total amount is:

A(t) = 8100[1 + 0.0322(2.5)]

A(t) = 8,752.05

It will be paid over 2.5 x 12 = 30 months, hence the monthly payment is given by:

M = 8,752.05/30

M = 291.735

Hence,  The monthly payment for this loan is 291.735

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Answer:$1. 45

Step-by-step explanation:

The bill is $1

the quarter is .25

and the nickels together are .20

add everything together its 1.45

First, we need to know the value of each coin. The top coin is a quarter, and its value is $0.25. The four coins below are nickels, and they have a value of $0.05. The dollar bill at the bottom has a value of $1.00.

If we have one quarter, we start with a value of $0.25.

\($0.25\)

Now, we add on the nickels.

\(0.25 + 0.05+ 0.05+ 0.05+ 0.05 = 0.45\)

Now we have a total of $0.45.

Adding the dollar would look like this:

\(1.00 + 0.45 = 1.45\)

Therefore, the value of all the money in the picture is $1.45.

The outcome or result of adding two or more integers is known as the SUM.

The outcome of adding numbers or quantities mathematically is a summation, often known as a sum. A summation always has an even number of terms in it. There may be just two terms, or there may be 100, 1000, or even a million. Some summations include an infinite number of terms.

the sum of two or more numbers, magnitudes, quantities, or specifics as determined by or as though decided by the addition process in mathematics.

The outcome of adding two or more numbers, objects, or things is referred to in mathematics as the sum.

The result or solution we obtain from adding two or more integers is known as the SUM. Addends are the figures that are combined.

\(Simplify $\frac{x}{x+3}+\frac{3}{x+3}+\frac{2}{x+3}: \frac{x+5}{x+3}$Steps$$\frac{x}{x+3}+\frac{3}{x+3}+\frac{2}{x+3}$$Apply the fraction rule: $\frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}$$$=\frac{x+3+2}{x+3}$$Add the numbers: $3+2=5$$$=\frac{x+5}{x+3}$$\)

Therefore, the correct answer is option b) \($=\frac{x+5}{x+3}$\)

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Answer:

16,807

Step-by-step explanation:

\(\frac{7^4}{7^9}\\\rightarrow \frac{x^a}{x^b}=x^{a-b}\\=7^{4-9}\\=7^{-5}\\\rightarrow a^{-b}=\frac{1}{a^b}\\=\frac{1}{7^5}\\7^5=16807\\= 16807\)

Answer: 16,807

Step-by-step explanation:

7^-4 = 1/7 ^ 4 = 1/2401

7^-9 = 1/7 ^ 9 =  1/40353607

1/2401 / 1/40353607 =

1/2401  x 40353607 =

16807

The absolute extreme value of the function ln (cos 3x) in interval [-π/12, π/9] is 0 at point x = 0.

Given the function is,

f(x) = ln (cos 3x), where x belongs to the closed interval [-π/12, π/9]

Differentiating the function with respect to 'x' we get,

f'(x) = (1/cos 3x)*(- sin 3x)*3 = -3tan 3x

f''(x) = -3 (sec² 3x)*3 = -9 sec² 3x

Now f'(x) = 0 gives,

-3 tan 3x = 0

tan 3x = 0

3x = ..., -π, 0, π, ....

So, x = ...., -π/3, 0, π/3, .....

So the absolute value of x which lies in [-π/12, π/9] is, x = 0.

At x = 0,

f''(0) = -9 sec² (3*0) = -9 sec²0 = -9 < 0

So at x = 0, the function has maximum value.

Max f(x) = f(0) = ln( cos 3*0) = ln 1 = 0

Hence the maximum value of function is also 0.

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The question is incomplete. Complete question will be -

"Locate and identify the absolute extreme values of the following functions:

ln(cos 3x) on [-π/12, π/9]"

Answer:

180

Step-by-step explanation:

It’s not 90, and 45 is too low and it can’t be 360.

Answer:

x = 3

Step-by-step explanation:

Is x an exponent?

\( y = 3^x \)

\( 27 = 3^x \)

\( 3^3 = 3^x \)

\( x = 3 \)