Out of 22 cakes baked today, 11 cakes were baked in the morning. What is the ratio of cakes baked in the morning to the total cakes?

Given:

The vertices of the rectangle ABCD are A(-3,4), B(-1,4), C(-1,-1) and D(-3,-1).

It is reflected over the line x=2.

To find:

The vertices of the image A'B'C'D'.

Solution:

If a figure is reflected over the line x=a, then

\((x,y)\to (-(x-a)+a,y)\)

\((x,y)\to (-x+a+a,y)\)

\((x,y)\to (-x+2a,y)\)

The rectangle ABCD is reflected over the line x=2. So, the rule of reflection is

\((x,y)\to (-x+2(2),y)\)

\((x,y)\to (-x+4,y)\)

Using this rule, we get

\(A(-3,4)\to A'(-(-3)+4,4)\)

\(A(-3,4)\to A'(3+4,4)\)

\(A(-3,4)\to A'(7,4)\)

Similarly,

\(B(-1,4)\to B'(5,4)\)

\(C(-1,-1)\to C'(5,-1)\)

\(D(-3,-1)\to D'(7,-1)\)

The vertices of image are A'(7,4), B'(5,4), C'(5,-1) and D'(7,-1).

Note: All options are incorrect or not in proper format.

Answer:

1.67 pounds

Step-by-step explanation:

The problem above can be solved by using "direct proportion." This proportion shows that as one quantity increases, the other quantity increases and vice-versa.

Step 1: Represent the weight of the person on the moon by n.

Step 2: Set up a proportion.

            \(\frac{105}{175}\) = \(\frac{1}{n}\)

Step 3: Cross multiply.

            105 x n = 175 x 1

            105n = 175

Step 4: Find n by dividing both sides by 105.

            n = \(\frac{175}{105}\)

            n = 1.666 or 1.67 pounds (lowest term)

A pound of person on Earth will weigh 1.67 pounds on the moon.

The standard normal curve can be described as a bell-shaped curve or Gaussian distribution. It is used to model a variety of phenomena in many fields, including physics, finance, and engineering. Its mean is zero, and its standard deviation is one.

The standard normal curve is symmetrical about the mean and is characterized by the empirical rule. The majority of the population is distributed within one, two, and three standard deviations from the mean (68%, 95%, and 99.7%, respectively).

Part a)13th percentile can be calculated using the standard normal distribution tables. From the tables, the value of z when the area under the curve to the left of z is 0.13 is -1.04. Therefore, the 13th percentile is -1.04. 80th percentile can be calculated in the same way as 13th percentile.

The value of z when the area under the curve to the left of z is 0.8 is 0.84. Therefore, the 80th percentile is 0.84.Part b)The values of Q and Q3 cannot be obtained from the standard normal curve since the standard normal curve is not used to study a particular set of data.

It is used to model phenomena with a normal distribution with a mean of zero and a standard deviation of one. Instead, the quartiles can be calculated using the empirical rule in conjunction with the normal distribution tables.

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Answer:

the

Step-by-step explanation:

the pattern is of prime numbers and next three terms is 17,19,23 thank you

Answer:

Explanation:

Given a quadratic function of the form:

In order to solve for x, we use the quadratic formula:

Comparing this with the given application:

From the given options, the equation that can be solved with the given formula is:

This is because it simplifies to:

The correct option is A.

-20

Explanation:

( − 7   ^ 2  −  4 )  +  ( − 7   ^ 2  −  6  − 2 )

Eliminate the redundant parentheses, subtract the numbers which will get you, combine like terms, rearrange terms, then your solution is:

− 1 4 2 −6 −6

Figure that problem out then you will get -20.

Answer:

−14x^2 − 6x - 6

Step-by-step explanation:

(−7x 2 −4)+(−7x 2 −6x−2) should be written as (−7x^2 −4) + (−7x^2 −6x−2).  The " ^ " symbol denotes exponentiation.  7x^2 means "7 times the square of x."  We can immediately remove the parentheses, obtaining:

−7x^2 −4 −7x^2 − 6x − 2

Our next step is to combine like terms.  For example, -7x^2 appears twice, with the same (negative) sign; summing these up results in -14x^2.

Immediately after doing that, we have:

−14x^2 −4 − 6x − 2

and need to combine the constants -4 and -2:

−14x^2 −6 − 6x

Finally, we write these terms in descending powers of x:

−14x^2 − 6x - 6

In ANOVA with 4 groups and a total sample size of 44, the computed F statistic is 2.33 and the p-value is d. cannot tell - it depends on what the SSE is. Therefore, the correct option is option d.

In an ANOVA with 4 groups and a total sample size of 44, with a computed F statistic of 2.33, to determine the p-value, we need to consider the degrees of freedom for both the numerator (between groups) and the denominator (within groups).

Step 1: Calculate the degrees of freedom.
Degrees of freedom between groups (DFb) = Number of groups - 1 = 4 - 1 = 3
Degrees of freedom within groups (DFw) = Total sample size - Number of groups = 44 - 4 = 40

Step 2: Use an F-distribution table or an F-distribution calculator to determine the p-value.
With DFb = 3 and DFw = 40, you can look up the critical F value in an F-distribution table or use an online F-distribution calculator.

Based on the provided information, we cannot directly tell the p-value without consulting an F-distribution table or calculator. However, you can follow these steps to determine the p-value for the given F statistic of 2.33.

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Answer:

A

Step-by-step explanation:

Since the coefficient of the x² term is negative (we know this because if you look at C, the coefficient of x² is -2, which is negative) we know that the vertex will be the maximum. To find the vertex without having to be rewritten, a quadratic function should be written in vertex form which is y = a(x - c)² + d where (c, d) is the vertex. The answer choice that is written in vertex form is A.

Answer: 56g flour

Step-by-step explanation: 140/20 = 7g

7 x 8 = 56g

By using Pythagorean identities the expression can be written as

         -8 (sin ( x ) + 1 -sin 2x)

The Pythagorean identity is an important identity in trigonometry derived from the Pythagorean theorem. These identities are used to solve many trigonometric problems where, given a trigonometric ratio, other ratios can be found. The basic Pythagorean identity, which gives the relationship between sin and cos, is the most commonly used Pythagorean identity:

sin2θ + cos2θ = 1 (gives the relationship between sin and cos)

There are two other Pythagorean identities as follows :

sec2θ - tan2θ = 1 (gives the relationship between sec and tan)

csc2θ - cot2θ = 1 (gives the relationship between csc and cot)

Given expression is:

-8tanx/ 1 +tan2x

we know that:

By the Pythagorean Theorem:

1 + tan²x = sec²x

and tan x = sin x/cos x

and, sec x = 1/cos x

Now, we can write as:

   -8tanx / 1 +tan²x

= -8 tan x / sec²x

= -8 sin x /cos x ÷ 1/cos²x

= -8 sin x/cos x × cos²x/1

= -8 (sin ( x ) + 1 -sin 2x)

Complete Question:

Use appropriate identities to rewrite the following expression in terms containing only first powers of sine:

−8tan 1 + tan2x.

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Answer:

the answer is the kingdom was peaceful and prosperous

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

8.5 cups per day

Step-by-step explanation: The answer is very simple. 85/10 equals 8.5 cups per day! Good Luck! Stay Brainy!

Using linear approximation, f(2.9) ≈ f(3) + f'(3)(2.9 - 3) = 5 + 6(-0.1) = 4.4.

To estimate f(2.9) using linear approximation, we can use the formula: f(x) ≈ f(a) + f'(a)(x - a), where a is a point close to 2.9.

Given that f(3) = 5 and f'(3) = 6, we can substitute these values into the formula. Thus, f(2.9) ≈ 5 + 6(2.9 - 3) = 5 - 6(0.1) = 5 - 0.6 = 4.4.

The estimated value of f(2.9) using linear approximation is 4.4.

Linear approximation provides a linear approximation of a function near a given point using the function's value and derivative at that point.

In this case, we approximate f(2.9) by considering the tangent line to the graph of f at x = 3 and evaluating it at x = 2.9.

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Answer:

wdew

Step-by-step explanation:

dwefwfweqfewfewqfewfewqfwqfweq

Answer:

x = 16  y = 22.627 (or 16\(\sqrt{2\))

Step-by-step explanation:

cos(45) = 16/y

y = 16/cos(45)

y = 22.627

tan(45) = 16/x

x = 16/tan(45)

x = 16

*this can also be found because we know this is a right triangle with two angles of 45 degrees. This means that both sides will be equal so x will be 16 and the diagonal will be 16 root 2 (22.627)

Answer:

$787.5

Step-by-step explanation:

first, you have to find how much ginny makes in a week w/o her raise\

17.5*40=700

then, you have to raise it by 12.5%, so her new salary is 112.5% of 17.5

112.5% = 1.125

700*1.125=787.5

Answer:

a)(0, 3)

b)(-3/2, 0)

Step-by-step explanation:

a) y-axis : x=0

so instead of x you write 0 : y = 2 * 0 + 3

and you get y = 3

b) x-axis : y=0

so instead of y you write 0 : 0 = 2 * x + 3

2 * x = -3

x = -3/2

Answer:

The point is at about (4.5, 100).

Step-by-step explanation:

Minka's line is p = 22t, which has a y-intercept of 0.

Kenji's line is p = 50 + 11t, which has a y-intercept of 50.

Find the line with y-intercept at 0 and the line with y-intercept at 50. Follow the two lines until they intersect. The point of intersection is about (4.5, 100).

You can find this point by setting the two equations equal to each other:

22t = 50 + 11t

Subtract 11t from both sides.

11t = 50

t = 50/11 ≈ 4.545

Then you can find the p value for this point by plugging t = 4.545 into either equation.

p = 22(4.545) = 99.99

p = 50 + 11(4.545) = 99.995

On the graph the point is about (4.5, 100).

The longest poster that can fit in the box must have dimensions of 10 inches (height) by 20 inches (length) by 12 inches (width).

To find the longest poster that can fit in the box, we need to determine the longest dimension of the box itself. Since the box is 10 inches high, the longest poster that can fit in the box must have a height of no more than 10 inches.

Now, we need to consider the other two dimensions of the box. The box is 20 inches long and 12 inches wide, so the longest poster that can fit in the box must have a length of no more than 20 inches and a width of no more than 12 inches.

As for why we can only fit one maximum-length poster in the box but we can fit multiple 22-inch posters in the same box, it's because the length and width of the box are larger than the length and width of the 22-inch poster.

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Answer:

gang gang shii

Step-by-step explanation:

gang gang.

The population standard deviation by the square root of the sample size.

According to the central limit theorem, when multiple samples are taken from a population, the mean of the sample means will converge to the population mean.

In this case, if we repeatedly roll a standard die and calculate the mean of each sample, the mean of these sample means will approach 3.5, which is the population mean of the die.

The standard error of the mean is a measure of the variability of the sample means around the population mean. It can be calculated by dividing the population standard deviation by the square root of the sample size.

Since the sample size is not provided, we cannot determine the exact value of the standard error of the mean in this scenario.

In summary, the mean of the sample means will approach 3.5 (the population mean), while the standard error of the mean depends on the sample size and is not specified in this context.

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Answer:

17.9 m^3

Step-by-step explanation:

The value that gives how much greater is the mass of Venus than the mass of Mercury is given as follows:

\(1.48 \times 10^1\)

A number in scientific notation is given by the notation presented as follows:

\(a \times 10^b\)

With the base being \(a \in [1, 10)\), meaning that it can assume values from 1 to 10, with an open interval at 10 meaning that for 10 the number is written as 10 = 1 x 10¹, meaning that the base is 1, justifying the open interval at 10.

The masses are given as follows:

To obtain how many times greater the mass of Venus is, we divide the masses, hence:

\(\frac{4.87 \times 10^{24}}{3.3 \times 10^{23}} = 1.48 \times 10^1\)

Because:

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Statistically significant evidence exists against the manufacturer's claim of 1% defective laptops. The result is practically significant, indicating a higher defect rate with potential consequences for reputation and customer satisfaction.


According to the information given, the manufacturer claims that only 1% of their laptops are defective. However, in a sample of 600 computers, it was found that 3% were defective. To determine if there is statistically significant evidence against the manufacturer's claim, we need to conduct a hypothesis test.
1. Hypotheses:
  - Null Hypothesis (H0): The proportion of defective laptops is 1%.
  - Alternative Hypothesis (H1): The proportion of defective laptops is not 1%.
2. Test Statistic:
  We can use the Z-test for proportions to compare the sample proportion (3%) to the claimed proportion (1%). The formula for the test statistic is:
  Z = (p - p0) / √(p0 * (1 - p0) / n)
  where p is the sample proportion, p0 is the claimed proportion, and n is the sample size.

3. Calculation:
  In this case, p = 3% = 0.03, p0 = 1% = 0.01, and n = 600. Plugging these values into the formula, we can calculate the test statistic Z.

  Z = (0.03 - 0.01) / √(0.01 * (1 - 0.01) / 600)
  Z = 0.02 / √(0.01 * 0.99 / 600)
  Z ≈ 2.72
4. Conclusion:
  To determine if there is statistically significant evidence against the manufacturer's claim, we compare the test statistic Z to the critical value at a chosen significance level (e.g., α = 0.05). If the test statistic falls within the critical region, we reject the null hypothesis; otherwise, we fail to reject the null hypothesis.

In this case, the critical value for a two-tailed test at α = 0.05 is approximately ±1.96. Since the test statistic Z (2.72) falls outside the critical region (greater than 1.96), we reject the null hypothesis. Therefore, there is statistically significant evidence against the manufacturer's claim.

5. Practical significance:
  While the result is statistically significant, it is important to consider practical significance as well. The sample proportion of 3% being higher than the claimed proportion of 1% suggests a higher rate of defective laptops. This finding has practical significance as it indicates a potential issue with the quality control of the manufacturer's laptops. The higher rate of defects could impact customer satisfaction, warranty claims, and overall reputation of the brand.

In summary, based on the statistical analysis, there is statistically significant evidence against the manufacturer's claim of only 1% defective laptops. The result also has practical significance, suggesting a higher rate of defects that may have implications for the manufacturer's reputation and customer satisfaction.

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**Maximum Area with a given perimeter:**

The rectangle with the maximum area, given the perimeter of 'P' units, the length and width would be 'P / 4' units each.

To find the length and width of a rectangle that has a given perimeter and a maximum area, we can utilize the concept that a square has the maximum area for a given perimeter. This means that if the perimeter is fixed, the maximum area will be achieved when the rectangle is a square.

Let's apply this concept to the given exercises:

11. Perimeter: 80 meters

If the perimeter is 80 meters, and we want to find the dimensions (length and width) of a rectangle with the maximum area, we can consider it as a square.

Since a square has all sides equal, let's assume the length of each side of the square as 's'. The perimeter of a square is given by 4s.

Given that the perimeter is 80 meters, we have:

4s = 80

Simplifying the equation:

s = 80 / 4

s = 20

Therefore, the length and width of the rectangle with the maximum area, given the perimeter of 80 meters, would be 20 meters each.

12. Perimeter: P units

In this case, the perimeter is given as 'P' units. Similarly, we can apply the same concept and assume the length and width of the rectangle as 'x' units.

The perimeter of a rectangle is given by the formula: 2(length + width).

Given that the perimeter is 'P', we have:

2(length + width) = P

Simplifying the equation:

length + width = P / 2

Since we want to find the maximum area, we can consider the length and width to be equal, as in a square.

So, we have:

2x = P / 2

x = P / 4

Therefore, for the rectangle with the maximum area, given the perimeter of 'P' units, the length and width would be 'P / 4' units each.

In both exercises, the maximum area is achieved when the rectangle is a square (for a given perimeter), with all sides equal to one-fourth of the perimeter.

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To determine the 30th and the 75th percentiles for the salaries:

The pth percentile is a data value such that at least p% of the data-set is less-than or equal to this data value and at least (100-p)% of the data-set are more-than or equal to this data value.

Arrange the data set in ascending order as follows:

84 ,224 , 248, 271, 338 , 381, 405 , 428, 452, 495 , 542, 609, 676 , 723 ,767 , 814, 1108

The formula to compute the position of the pth percentile is:

Compute the 30th percentile as follows:

The 5th observation from the arranged data set is 338 .

Thus, the 30th percentile is 338.

Compute the 75th percentile as follows:

The 14th observation from the arranged data set is 814.

Thus, the 75th percentile is 814

Therefore the 30th percentile is 338 and the 75th percentile is 814

Answer:

(4,1) (5,19) (6,5) (11,80)

Step-by-step explanation:

In an ordered pair x aways comes first

Answer:

2

Step-by-step explanation:

2^3= 2*2*2

factors of 8= 1,2,4,8

factors of 2= 1,2