enrique is solving a division problem. he moves the decimal point in the divisor 3 places to the right. which of these is most likely enriques divisor?

.076

2.4

3.33

781

Answer:

3. 50.27 inches squared

4. 113.1 km squared

Step-by-step explanation:

3. A=πr^2

π*16

4. A=πr^2

π*36

Have a good day :)

Answer:

1)50.3

2) 113

Step-by-step explanation:

I hope this helps!

Since the p-value (0.034) is less than the significance level of 0.05, we reject the null hypothesis. This suggests evidence against the claim that the median percent of impurities in the brand of jam is 2.5%.

To perform the sign test, we compare the observed values to the hypothesized median value and count the number of times the observed values are greater or less than the hypothesized median. Here's how we can proceed:

State the null and alternative hypotheses:

Null hypothesis (H0): The median percent of impurities in the brand of jam is 2.5%.

Alternative hypothesis (Ha): The median percent of impurities in the brand of jam is not 2.5%.

Determine the number of observations that are greater or less than the hypothesized median:

From the given data, we can observe that 5 jars have impurity percentages less than 2.5% and 11 jars have impurity percentages greater than 2.5%.

Calculate the p-value:

Since we are performing a two-tailed test, we need to consider both the number of observations greater and less than the hypothesized median. We use the binomial distribution to calculate the probability of observing the given number of successes (jars with impurity percentages greater or less than 2.5%) under the null hypothesis.

Using the binomial distribution with n = 16 and p = 0.5 (under the null hypothesis), we can calculate the probability of observing 11 or more successes (jars with impurity percentages greater than 2.5%) as well as 5 or fewer successes (jars with impurity percentages less than 2.5%). Summing up these probabilities will give us the p-value.

Compare the p-value to the significance level:

Since the significance level is 0.05, if the p-value is less than 0.05, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

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You need a sample size of approximately 82 students to estimate the average time college students spend studying per week with a 99% confidence interval and a margin of error of 30 minutes (0.50 hours).

To determine the sample size, we will use the formula given below;

Where, n = sample size

Zα/2 = the z-score associated with the level of confidence

α = level of significance

σ = population standard deviation

d = margin of error of the estimation.

Substituting the given values, we have; n = [(Zα/2 * σ)/d]^2

We are given the population standard deviation, σ = 3.5 hours.

We are also given the margin of error, d = 0.5 hours.

We need to find the value of Zα/2 at 99% confidence level.

Since the sample size is large enough, we can use the z-distribution to find the z-value.

The area under the standard normal distribution curve for a 99% confidence level is as shown below;

Using the z-tables, the value of Zα/2 for a 99% confidence level is 2.576.

Substituting the values into the formula; n = [(Zα/2 * σ)/d]^2n = [(2.576 * 3.5)/0.5]^2= (9.006)^2= 81.12

Since we need a whole number for the sample size, we round up the value to get 82.

However, since the standard deviation of the population is known, we can use the z-distribution to construct a confidence interval for the population mean. This will give us an accurate interval estimate of the population mean.

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The statements regarding the transformations are given in order as false.

The vertices of the original triangle are given as follows:

P(-5,2), R(-2,2) and Q(missing).

The equivalent vertices on the transformed triangle are given as follows:

P'(4,-2), R'(7,-2)

Then the composite rule is given as follows:

(x,y) -> (x + 9, -y).

And the meaning of each transformation is given as follows:

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Answer:

463,488,000,000

Step-by-step explanation:

8.8% = .088

426,000,000,000 * .088 = 37,488,000,000

426,000,000,000 + 37,488,000,000 = 463,488,000,000

Answer:

Step-by-step explanation:

8 7/9 - 14 7/8

= 169/9 - 119/8

now you must find a common denominator

= 281/72

3 65/72 lbs

Answer:

It would be the second option I don't know why they made it so confusing looking but all you really had to do was subtract 159 by 53 then you get 106

Step-by-step explanation:

Answer: 53+106 = 159  x=106 (the second answer choice)

Step-by-step explanation:

if x = 106

substitute

53 + x= 159 becomes  53 + 106 =159

check work

53+106 = 159

THE EQUATION IS CORRECT SO THEREFORE THE CORRECT ANSWER IS THE SECOND CHOICE

Answer:

the tim age is 6 years

Step-by-step explanation:

The computation of the tim age is shown below:

Given that

Sam age is 42 years

And, sam would be 7 times than the tim age

Based on the above information

The tim age would be

= sam age ÷ number of times

= 42 ÷ 7

= 6 years

hence, the tim age is 6 years

The same should be considered

Answer: you must create a portion of 100 percent in the problem from 30 to 7

Step-by-step explanation:

Answer:

C. 128ft

Step-by-step explanation:

it's C because whenever it says and you're supposed to multiply always remember that :) = (which means area ofc) you're finding the so you multiply 16x8 and the you get your answer (: ignore the 640 you just focus on the 16 and 8 ok? 16x8=128! :))

>:(

Given:

The function is

\(f(x)=(x+3)^2\)

To find:

The domain of the given function in interval notation.

Solution:

We have,

\(f(x)=(x+3)^2\)

Domain is the set of x-values or input values.

The given function is a quadratic function and domain of the quadratic function is all real number. The function is defined for all values of x. So, domain of the given function is the set of all real numbers.

Domain = Set of all real numbers

Domain = (-∞,∞)

Therefore, the domain of the given function is (-∞,∞).

The arc is the product of the angle and radius of the circle. Then the arc length is 7.065 cm.

It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

The central angle of π/2 radians in a circle with a radius of 4.5 cm.

The arc is given as the product of the angle and radius of the circle.

\(\rm Arc \ length = Angle * Radius\\\\\\Arc \ length = \dfrac{\pi}{2} * 4.5\\\\\\Arc \ length = \dfrac{3.14}{2} * 4.5\\\\\\Arc \ length = 7.065\)

The arc length is 7.065 cm.

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Answer:

1. R= 1.25 or 5/4, 7.81, 9.76, 12.2

2. R=-1/3, -32, 10.66, -3.55

3. 12= -38.4, 10 = -60

7. at bounce 5 the height of ball is 48, the common ratio times 0.75 or 3/4.

*I don't understand the round to hundred part of question.

10. R=1/4 or 0.25, 5th term = 0.39

Step-by-step explanation:

Answer:

no solution is the answer

Holt linear exponential smoothing or  Holt-Winters exponential smoothing technique is best for data with a trend but no seasonality.

For trend but nonseasonal data, Holt linear exponential smoothing (aka double exponential smoothing) or Holt-Winters exponential smoothing (aka triple exponential smoothing) can be used to compare single exponential smoothing or Exponential smoothing is better than post-winter smoothing.

Holt's linear exponential smoothing method uses his two smoothing factors:

One for the level of the series and one for the trend. Suitable when data show a linear trend.

Holt-Winter exponential smoothing adds his third seasonal smoothing factor to Holt's linear exponential smoothing method. Appropriate when the data show trends over time and exhibit seasonal patterns. Therefore, Holt's linear exponential smoothing method is best when the data show a linear trend. Holt-Winters exponential smoothing is more appropriate when trends are more complex and there is evidence of seasonality.

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Trigonometric Functions -

\( \cos = \frac{adjacent}{hypotenuse} \)

Find the opposite side, first of all.

Pythagorean Theorem -

\(a^{2} + b^{2} = c^{2} \)

Input the hypotenuse and opposite sides to find b^2.

\(49 + {b}^{2} = 64\)

Minus 49 from equations to get b^2 by itself.

\( {b}^{2} = 15\)

Square root b^2 and 15 to get b by itself.

\(b = \sqrt{15} \)

Now we can get to the trigonometry functioms!

\( \frac{ \sqrt{15} }{8} \)

Divide them up, then find the percentage!

48% or...

\( \frac{ \sqrt{15} }{8} \)

Answer:

(9,6)

Step-by-step explanation:

So, if we're thinking about a (fair in amount, related to something else/properly sized compared to something else) relationship, or the graph of a (fair in amount, related to something else/properly sized compared to something else) relationship, there should be two things that we're looking for. One, it should be a line. It should be a linear relationship between the two (numbers that change/things that change). Y should be some constant, some (fair in amount, related to something else/properly sized compared to something else)ity constant, times X.

rise/run

2/3 is the proportionality

(6,4) is the last point so if we apply the proportionality the next point should be located at (9,6)

please mark me brainliest :)

Multiply the perimeter of the original figure by the scale factor

The linearized equation around its equilibrium position is given as;f(x) = -4.8(x - 1.39)

The given equation is x² + 2x* + 2x² - 12x + 10 = 0.

It needs to be linearized around its equilibrium position.

Linearizing the given equation around its equilibrium position x0, we have;

f(x) = f(x0) + f'(x0)(x - x0)

Where f(x) = x² + 2x* + 2x² - 12x + 10

The equilibrium position is the point where f(x) = 0.

Hence, f(x0) = 0.

Thus, x² + 2x* + 2x² - 12x + 10 = 0⇒ 3x² - 6x = -10⇒ x² - 2x + (2.33) = 0(x-1)² = 0.77x - 0.77 or

x = 1 + (0.77)/(2) or x = 1.39

Hence, the equilibrium position x0 = 1.39.

Substitute x0 = 1.39 in the equation and simplify to get f'(x0):

f(x) = x² + 2x* + 2x² - 12x + 10

f(x) = 3.84 - 8.34 + 10

f'(x0) = f'(1.39) = -4.8

Therefore, the linearized equation around its equilibrium position is given as;f(x) = -4.8(x - 1.39)

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Answer:

0.270833333333333333333333333333333333333

By solving the given equation and then substituting solution in original equation we found out that x=3 and x=-7 are extraneous solution.

The extraneous solutions are the solutions that does not work in the original equation.

Original equation

\($\log _{4}(x)+\log _{4}(x-3)=\log _{4}(-7x+21)$\)

Now we will simplify this

\(\log _{4}(x(x-3))=\log _{4}(-7 x+21)$\\\\x(x-3)=-7 x+21\\\\&x^{2}-3 x=-7 x+21 \\\\\\&x^{2}-3 x+7 x-21 =0\\\\&x^{2}+4 x-21=0\\\\\\&x^{2}-3 x+7x-21=0\\\\\\(x-3)(x+7)=0\\x=3,-7\)

Now, we will determine the extraneous solution, by substituting  x=3 and x=-7 in the originally given equation.

Substituting  x=3,

\(\log _{4}(3)+\log _{4}(3-3)=\log _{4}(-21+21) \\\\\log _{4}(3)+\log _{4}(0)=\log _{4}(0)\)

As we know log(0)  is undefined , Hence x=3 is extraneous solution

Now Substituting  x=-7

\(\log _{4}(-7)+\log _{4}(-7-3)=\log _{4}(-7(-7)+21)\\\\\log _{4}(-7)+\log _{4}(-10)=\log _{4}(-28)\)

As we know log is not defined for negative numbers hence x=-7 is extraneous solution

By solving the given equation and then substituting solution in original equation we found out that x=3 and x=-7 are extraneous solution

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Answer:

Step-by-step explanation:

it does'nt matter because we don't know for sure

I think that for a its 1.12 and for b its 39424

100 + 12 = 112
112/100 = 1.12

35200 * 1.12 = 39424

Answer:

2( 4 + 2X) = 3x + 4

8 + 4x = 3x + 4

8 + 4x - 3x - 4 = 0

x + 4 = 0

x = -4

Step-by-step explanation:

Edit: I thought C was the right angle I only looked at it once my bad

Answer:

d. 18

Step-by-step explanation:

Lengths AG and CF of the parallelogram are equal.

i.e AG = CF

where AG = 2x + 10

          CF = 5x -2

→ 2x + 10 = 5x-2

(collecting like terms): 5x - 2x = 10 + 2

→ 3x = 12

x=12÷3 = 4

∴ CF = 5x -2 = 5(4) -2 = 20 - 2 = 18

∴ CF = 18 (answer)

The correct dot plot representation of the life spans of houseflies is option B, with the life spans ranging from 4 to 14 days and most life spans in the range of 5 to 9 days.

A dot plot is a simple and effective way of visualizing data, especially for small data sets. A dot plot represents each data point as a dot on a number line, with the position of the dot indicating the value of the data point.

Option B states that the life spans range from 4 to 14 days, with most life spans in the range of 5 to 9 days. This means that the dot plot will have a number line running from 4 to 14, with the majority of dots clustered in the 5 to 9 range. This is the correct representation of the dot plot of the life spans of houseflies.

The dot plot suggests that the distribution of the life spans of houseflies is not symmetrical and has a mode (the most frequent value) between 5 and 9 days. This indicates that most houseflies live between 5 and 9 days, with fewer houseflies living either shorter or longer lives.

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Answer:

LCM of 6 and 15 by Listing Multiples

Step 2: The common multiples from the multiples of 6 and 15 are 30, 60, . . . Step 3: The smallest common multiple of 6 and 15 is 30.

Answer:h

Step-by-step explanation:

The variable "middle" in a binary search algorithm represents the index or position of the element that is being compared in each iteration of the search process.

In a binary search, the algorithm repeatedly divides the search space in half by comparing the middle element with the target value. The "middle" variable keeps track of the index or position of the element that is considered as the midpoint of the current search range.

During each iteration, the algorithm compares the target value with the element at the middle position. If the target value is equal to the middle element, the search is successful, and the algorithm returns the index of the middle element. If the target value is less than the middle element, the search continues on the left half of the search range, excluding the middle element. If the target value is greater than the middle element, the search continues on the right half of the search range, again excluding the middle element.

The "middle" variable is crucial in the binary search algorithm as it helps determine the boundaries of the search range for each iteration. By updating the middle position based on the comparison results, the algorithm efficiently reduces the search space in each step, resulting in a significant improvement in the search time compared to linear search algorithms.

Thus, the "middle" variable in a binary search algorithm represents the index or position of the element that serves as the midpoint of the current search range, allowing for efficient and systematic exploration of the search space.

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