Nadiya and Jürgen are baking cookies for a party. The cookie recipe calls for 200 grams of flour. Nadiya measures this amount out, with an absolute error of
±
±
3 grams. Two people bake in kitchen


Calculate the relative error of Nadiya's flour measurement. Enter your answer as a decimal or percentage and round to three significant figures

Answer:

D) -2

Step-by-step explanation:

to identify the slope of a line written in slope-intercept form, it would be

the coefficient of the 'x' term

Answer:

m∠A + m∠B = 130°

Step-by-step explanation:

the interior angle measures of a triangle always add up to 180°. using this information along with the fact that a straight line is also 180°, we can infer that the measure of angle C is 50°. to find the sum of angle A and angle B, we will subtract 50 from 180. this gives us 130. so this means that the answer to your question is 130°. hope this helps you

Answer:

Step-by-step explanation:

∠C+130=180°

∠A+∠B+∠C=180

∠A+∠B+∠C=∠C+130

∠A+∠B=130°

Equation/Question:

Solve for b. 3(b + -2)-8=-5 what is the answer?​

Answer/Steps to answer:

1.Simplify  b+-2 to b−2.

3(b−2)−8=−5

2. Add 8 to both sides.

3(b-2)=-5+8

3. Simplify  -5+8  to  3.

3(b-2)=3

4. Divide both sides by 3.

b-2=1

5. Add 2 to both sides.

b=1+2

6. Simplify  1+2 to 3.

b=3

Done by NeighborhoodDealer

Answer:

7 times

Step-by-step explanation:

You will divide 162 by 23 to find out how many times 23 goes into 162.

162 / 23 = 7.0

Our final rational function becomes: g(x) =\([(x + 4)(ax + b)(x + 3)^2(x + 1)] / [(x + 4)(cx + d)(x - 1)^2]\)

To create a rational function g(x) that satisfies the given properties, we can start by considering the horizontal asymptote and the hole.

Given that the horizontal asymptote is y = 0, we know that the degree of the polynomial in the numerator is less than or equal to the degree of the polynomial in the denominator.

Considering the hole at (-4, -3/19), we can introduce a factor of (x + 4) in both the numerator and denominator to cancel out the common factor. This will create a hole at x = -4.

So far, we have:

g(x) = [(x + 4)(ax + b)] / [(x + 4)(cx + d)]

Next, let's consider the local minimum at (-3, -1/6) and the local maximum at (1, 1/2).

To ensure a local minimum at x = -3, we can make the factor (x + 3) squared in the denominator, so that it does not cancel out with the numerator. We can also choose a positive coefficient for the factor in the numerator to create a downward-facing parabola.

To ensure a local maximum at x = 1, we can make the factor (x - 1) squared in the denominator, and again choose a positive coefficient for the factor in the numerator.

Adding these factors, we have:

g(x) =\([(x + 4)(ax + b)(x + 3)^2] / [(x + 4)(cx + d)(x - 1)^2]\)

Finally, we consider the x-intercept at x = -1 and the y-intercept at y = 1/3.

To achieve an x-intercept at x = -1, we can set the factor (x + 1) in the numerator.

To achieve a y-intercept at y = 1/3, we set the numerator constant to 1/3.

Multiplying these factors, our final rational function becomes:

g(x) = \([(x + 4)(ax + b)(x + 3)^2(x + 1)] / [(x + 4)(cx + d)(x - 1)^2]\)

Where a, b, c, and d are coefficients that can be determined by solving a system of equations using the given properties.

Please note that without additional information or constraints, there are multiple possible rational functions that can satisfy these properties. The function provided above is one possible solution that meets the given conditions.

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The P-value for the hypothesis test is approx. 0.7064.

To find the P-value for the hypothesis test, we need to perform a two-sample proportion test. The formula to calculate the test statistic for this test is given by:

\(\[ z = \frac{{(\hat{p}_1 - \hat{p}_2) - 0}}{{\sqrt{\hat{p}(1 - \hat{p})\left(\frac{1}{{n_1}} + \frac{1}{{n_2}}\right)}}} \]\)

where \(\hat{p}_1\) and \(\hat{p}_2\) are the sample proportions, \(\hat{p}\) is the combined sample proportion, \(n_1\) and \(n_2\) are the sample sizes, and 0 is the hypothesized difference in proportions.

In this case, we have \(n_1 = 50\), \(x_1 = 8\) (number of successes in sample 1), \(n_2 = 50\), and \(x_2 = 7\) (number of successes in sample 2).

First, we calculate the sample proportions:

\(\[ \hat{p}_1 = \frac{x_1}{n_1} = \frac{8}{50} = 0.16 \]\)

\(\[ \hat{p}_2 = \frac{x_2}{n_2} = \frac{7}{50} = 0.14 \]\)

Next, we calculate the combined sample proportion:

\(\[ \hat{p} = \frac{x_1 + x_2}{n_1 + n_2} = \frac{8 + 7}{50 + 50} = 0.15 \]\)

Then, we calculate the standard error:

\(\[ SE = \sqrt{\hat{p}(1 - \hat{p})\left(\frac{1}{{n_1}} + \frac{1}{{n_2}}\right)} = \sqrt{0.15(1 - 0.15)\left(\frac{1}{50} + \frac{1}{50}\right)} \approx 0.0529 \]\)

Finally, we calculate the test statistic:

\(\[ z = \frac{(\hat{p}_1 - \hat{p}_2) - 0}{SE} = \frac{(0.16 - 0.14) - 0}{0.0529} \approx 0.3772 \]\)

To find the P-value, we look up the test statistic in the standard normal distribution table. In this case, the P-value is the probability of observing a test statistic greater than 0.3772 or less than -0.3772.

Consulting the table, we find that the P-value is approximately 0.7064. Therefore, the P-value for the hypothesis test is approximately 0.7064.

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The perimeter of shed is, (6x+ 4)

The area of the shed is, (2x² + 5x + 3)

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

We have to given that;

Shirley is building a shed. The length is 2x + 3 feet long and the width is

x + 1 feet long.

Now, We know that;

The perimeter of rectangle = 2 (Length + Width)

Substitute all the values, we get;

⇒ Perimeter = 2 (2x + 1 + x + 1)

⇒ Perimeter = 2 (3x + 2)

⇒ Perimeter = (6x + 4)

And, Area of rectangle = Length × Width

Substitute all the values , we get;

⇒ Area = (2x + 3) × (x + 1)

⇒ Area = (2x² + 2x + 3x + 3)

⇒ Area = (2x² + 5x + 3)

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She will plot a graph using the given points and trace the point y = 11 to the x-axis.

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant.

Firstly she would have form tables of values for x and y using y = 5x + 2 x-values had been given as   -22- 20 18 16 14 12 10- 8 6 0 6 8 .

Then plot a graph of the line y =5x + 2  with y on the vertical  and x on the horizontal.

After plotting the graph, on the vertical axis trace y = 11, draw a horizontal line from y = 11 until it just touches the straight line graph from that point drop a vertical line until it touches the x-axis. the value of x there is the solution of the equation y = 5x +2.

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Answer:

You cannot divide first because in equations you need to isolate the variable, which means subtracting first. The outcome will be different if you change the order.

Answer: Measure of angle 2 + measure of angle 3

Step-by-step explanation:

The expression is equivalent to is Measure of angle 4 is ''Measure of angle 2 + measure of angle 3''.

Given

A triangle has angles 1, 2, 3.

The exterior angle to angle 1 is 4, angle 2 is 5, to angle 3 is 6.

An exterior angle is an angle that is formed by one of the sides of any closed shape structure such as polygon and the extension of its adjacent side.

The,

The measure of the angle 4 is;

The measure of angle 2 + measure of angle 3

Hence, the expression is equivalent to is Measure of angle 4 is ''Measure of angle 2 + measure of angle 3''.

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The best way to pay off a loan can be concluded by comparing the total amount paid for different repayment amounts. The repayment option with the lowest total amount paid would be considered the best way to pay off the loan.

(a) The initial loan, X1, can be calculated using the given information that you buy a 1-million-dollar house with a 20% deposit. The deposit is 20% of 1 million, which is:

Deposit = 0.20 * 1,000,000 = $200,000

Therefore, the initial loan X1 is the remaining amount after the deposit is subtracted from the total price of the house:

X1 = 1,000,000 - 200,000 = $800,000

So, the initial loan X1 is $800,000.

(b) To determine the fixed points of the recurrence, we need to find the values of Xn that satisfy the equation Xn = Xn-1 + 0.002178Xn-1 - b. In this case, a fixed point occurs when Xn = Xn-1.

Setting Xn = Xn-1, we get:

Xn = Xn + 0.002178Xn - b

Simplifying the equation, we have:

0.002178Xn = b

Therefore, the fixed points of the recurrence are the values of Xn when 0.002178Xn = b.

This means that the loan amount remains unchanged when the repayments (b) equal 0.002178 times the current loan amount.

Interpreting this in terms of the loan and repayments, the fixed points represent the loan amount that remains constant when the repayments are made according to a specific percentage of the loan amount.

(c) For repayments of b = 2000, b = 3000, and b = 4000, we need to determine the number of fortnights required for the loan to be paid off (Xn ≤ 0) and the total amount paid.

To find the number of fortnights required for the loan to be paid off, we need to solve the recurrence equation Xn = Xn-1 + 0.002178Xn-1 - b for different values of b.

For b = 2000:

Let's calculate the number of fortnights required for Xn ≤ 0:

Xn = Xn-1 + 0.002178Xn-1 - 2000

0 = Xn-1(1 + 0.002178) - 2000

Xn-1 = 2000 / (1 + 0.002178)

Similarly, you can calculate the number of fortnights required for b = 3000 and b = 4000.

To determine the total amount paid, we multiply the repayment amount by the number of fortnights required to pay off the loan.

The best way to pay off a loan can be concluded by comparing the total amount paid for different repayment amounts. The repayment option with the lowest total amount paid would be considered the best way to pay off the loan.

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The statement about geometric sequences that is true is Geometric sequences have a common ratio between terms.

A geometric progression, which is another name for a geometric sequence, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio.

Any number series in which the ratio of succeeding terms is constant is referred to as a geometric sequence. where r is the proportion shared by all following terms.

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missing options;

Geometric sequences can have a first term of 0.

Geometric sequences only increase, never decrease.

Geometric sequences have a common ratio between terms.

Geometric sequences have a common difference between terms.

Answer:

3

Step-by-step explanation:

the maximum value of the function y = -2+5sin(pi/12(x-2)) is determined by taking the first derivative of the function. The first derivative is equal ( 5 pi/ 12 )* sin ((pi/12) (x-2)) = 0. x is equal to 4472 through the calculator. Substituting to the original equation, the maximum value is 3.

hope this helps

The value of the given expression is approximately 5.313.

To solve the expression, let's break it down step by step:

1. Calculate the square root of 282.3 multiplied by 4.809:

  √(282.3 × 4.809) ≈ 26.745

2. Take the natural logarithm (base e) of the result from step 1:

  Log(26.745) ≈ 3.287

3. Divide the value from step 2 by 0.8902:

  3.287 ÷ 0.8902 ≈ 3.689

4. Calculate 1.2 raised to the power of 2:

  (1.2)^2 = 1.44

5. Multiply the value from step 3 by the value from step 4:

  3.689 × 1.44 ≈ 5.313

Therefore, the value of the given expression is approximately 5.313.

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The type of sampling method in which a sample frame is divided into groups, which are highly similar to the other

According to the given question, we are asked to show the name which is given to the type of sampling method in which a sample frame is divided into groups, which are highly similar to the other.

As a result of  this, when a sample frame is divided into groups which are very similar to each other, then this is a simple random sampling.

In this method, we can see that there are different types of random sampling techniques which includes:

Therefore, the correct answer is Simple random sampling.

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Answer:

\(-22\frac{1}{3}\)

Step-by-step explanation:

\(a=\frac{1}{3} , b = -10, c = -3\)

change  \(b^{2} - 9a^{2} + c\)   to  

\(-10 -9\frac{1}{3} + (-3)\)

=

\(-22\frac{1}{3}\)

Answer:

Benidorm quiz  

1. Where is Benidorm holiday resort located?  

JORDAN  

2. What is the average temperature of Benidorm in summer?  

26 C  

3. Before 1950s Benidorm was a small ___FISHING______ village.  

4. Why did the town council encourage tourism in Benidorm?  

TO VISIT BENIDORM  

5. How many hotels were found in Benidorm in 1959?  

6. Explain package holidays as they were used in Benidorm                                                                                

7. Give three reasons why Benidorm is an excellent tourist resort  

(a)  

(b)  

©  

8. State four tourist attractions at Benidorm

Step-by-step explanation:

Benidorm quiz  

1. Where is Benidorm holiday resort located?  

JORDAN  

2. What is the average temperature of Benidorm in summer?  

26 C  

3. Before 1950s Benidorm was a small ___FISHING______ village.  

4. Why did the town council encourage tourism in Benidorm?  

TO VISIT BENIDORM  

5. How many hotels were found in Benidorm in 1959?  

6. Explain package holidays as they were used in Benidorm                                                                                

7. Give three reasons why Benidorm is an excellent tourist resort  

(a)  

(b)  

©  

8. State four tourist attractions at Benidorm

Answer:

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

Given three interior angle measures of a triangle:

Use the triangle sum theorem to find the missing angle:

So the missing angle is 67°.

Answer:

Step-by-step explanation:

f(x) = x² - 2x + 5

Yo find f(-2) substitute the value of x that's - 2 into f(x) that is for every x in f (x) replace it with - 2

So we have

f( - 2) = (-2)² - 2(-2) + 5

= 4 + 4 + 5

= 8 + 5

We have the final answer as

Hope this helps you

Answer:

We will apply the formula of d=y- x/n+1

Let y be 2.2 and x be 2.1 and n= 16

Then 2.2-2.1/ 16+1

0.1/17

x+d= 2.1 + 0.1 = 2.2

x+2d= 2.1+2×0.1=2.3

x+3d= 2.1+3×0.1=2.4

x+4d= 2.1+4×0.1=2.5

x+5d=2.1+5×0.1=2.6

x+6d=2.1+6×0.1=2.7

x+7d=2.1+7×0.1=2.8

x+8d=2.1+8×0.1=2.9

x+9d=2.1+9×0.1=3

x+10d=2.1+10×0.1=3.1

x+11d=2.1+11×0.1=3.2

x+12d=2.1+12×0.1=3.3

×+13d=2.1+13×0.1=3.4

x+14d=2.1+14×0.1=3.5

x+15d=2.1+15×0.1=3.6

x+16d=2.1+16×0.1=3.7

Step-by-step explanation:

mark brainlyest plz it really helps

Step-by-step explanation:

I am thinking that the question means that there is a 5 one place to the right of the decimal. If this is correct then the answer is 67.596. One place to the right of the decimal is the tenths place.

Answer: 56.596

Answer:

Step-by-step explanation:

Given:

n= Total number of random sample of people taken=400

x= Number of people who provided yes responses= 124

P= The point of estimate of the sample of the population portion taken=?

Now,

P=x/n

P=124/400

P= 124/4×100

P= 32/100

P= 0.32 or 32%

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0.31 or 31% is the point estimate of the proportion of the population that would provide yes responses

Estimate of Proportion: If we divide the random variable, the mean, and the standard deviation by n, we get a normal distribution of proportions with P′, called the estimated proportion, as the random variable. (Recall that a proportion as the number of successes divided by n.)

a simple random sample of 400 individuals provides 124 yes responses

The point estimate of individuals that would provide yes responses is the sample proportion.

n= Total number of random sample of people taken=400

x= Number of people who provided yes responses= 124

P= The point of estimate of the sample of the population portion taken

The sample proportion is calculated by dividing number of yes responses by sample size

p = x/n = 124/400= 0.31 or 31%

0.31 or 31% is the point estimate of the proportion of the population that would provide yes responses

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Displacement is the length of the straight line drawn from an object’s initial position to the object’s final position

The term "displacement" refers to a change in an object's position. It is a vector quantity with a magnitude and direction. The symbol for it is an arrow pointing from the initial position to the ending position. For instance, if an object shifts from position A to position B, its position changes.

If an object moves with respect to a reference frame, such as when a passenger moves to the back of an airplane or a professor moves to the right with respect to a whiteboard, the object's position changes. This change in location is described as displacement.

The displacement is the shortest distance between an object's initial and final positions. Displacement is a vector. It is visualized as an arrow that points from the initial position to the final position, indicating that it has both a direction and a magnitude.

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Answer:

Step-by-step explanation:

X^2-5^2

X^-25

Answer:

Total copies sold= 486,585

Step-by-step explanation:

Giving the following information:

Number of copies sold in the first month= 39,900

% of copies sold in the first month= 8.2%

To calculate the total number of copies sold, we need to use the following formula:

Total copies sold= Number of copies sold in the first month/% of copies sold in the first month

Total copies sold= 39,900 / 0.082

Total copies sold= 486,585

To divide a continuous distribution such as a normal distribution into a rejection region and a non-rejection region, we need to first specify the level of significance or alpha (α) of the hypothesis test.

The rejection region is the area in the tails of the distribution where the test statistic falls that is unlikely to occur by chance if the null hypothesis is true. This area is determined by the alpha level and the direction of the alternative hypothesis (one-tailed or two-tailed).

The non-rejection region is the area in the middle of the distribution where the test statistic falls that is likely to occur by chance if the null hypothesis is true. This area is determined by subtracting the area of the rejection region from 1.

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