please help me with this problem

The 98% confidence interval for the number of chocolate chips per cookie in Big Chip cookies is approximately 13.5529 to 15.0471 chips.

To find the 98% confidence interval for the number of chocolate chips per cookie in Big Chip cookies, we'll use the t-distribution since the sample size is relatively small (n = 61) and we don't know the population standard deviation.

The formula for the confidence interval is:

\(CI = \bar X \pm t_{critical} \times \dfrac{s } {\sqrt{n}}\)

where:

X is the sample mean,

\(t_{critical\) is the critical value for the t-distribution corresponding to the desired confidence level (98% in this case),

s is the sample standard deviation,

n is the sample size.

First, let's find the critical value for the t-distribution at a 98% confidence level with (n-1) degrees of freedom (df = 61 - 1 = 60). You can use a t-table or a calculator to find this value. For a two-tailed 98% confidence level, the critical value is approximately 2.660.

Given data:

X (sample mean) = 14.3

s (sample standard deviation) = 2.2

n (sample size) = 61

\(t_{critical\) = 2.660 (from the t-distribution table)

Now, calculate the confidence interval:

\(CI = 14.3 \pm 2.660 \times \dfrac{2.2} { \sqrt{61}}\\CI = 14.3 \pm 2.660 \times \dfrac{2.2} { 7.8102}\\CI = 14.3 \pm 0.7471\)

Lower bound = 14.3 - 0.7471 ≈ 13.5529

Upper bound = 14.3 + 0.7471 ≈ 15.0471

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Answer:

Step-by-step explanation:

not sure 2

Answer:

20

Step-by-step explanation:

a c will have the same angle as b d

Answer:

18/8= 9/4

Step-by-step explanation:

3x6=18 the denominator is 8 so 8x1 is 8 simplified by 2

hope this helped!

Answer:2 1/4

Step-by-step explanation:

Because I know what it is

The mean of the set is 55.8, the median is 23, and there is no mode.

To find the mean, median, and mode of the given set of numbers {17, 25, 23, 200, 14}, let's analyze each measure:

Mean:

The mean is calculated by summing all the numbers in the set and dividing by the total count of numbers. In this case, the mean is:

Mean = (17 + 25 + 23 + 200 + 14) / 5 = 279 / 5 = 55.8

Therefore, the mean of the set is 55.8.

Median:

The median is the middle value of a set when the numbers are arranged in ascending order. In this case, the set {17, 25, 23, 200, 14} arranged in ascending order becomes {14, 17, 23, 25, 200}. The middle value is 23, which is the median of the set.

Therefore, the median of the set is 23.

Mode:

The mode is the value that appears most frequently in a set. In this case, there is no number that appears more than once in the set, so the set has no mode.

Therefore, the set {17, 25, 23, 200, 14} has no mode.

In summary, the mean of the set is 55.8, the median is 23, and there is no mode.

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Answer:  15-1/2x=21

Step-by-step explanation:

I plugged in - 12 to it and it was right. I also did the other ones to check and the first one is the only one right.

Answer:

810 g flour

6 teaspoon (tsp) baking powder

12 tablespoons (tbsps) sugar

780 ml milk

6 egg

12 tablespoons (tbsps) oil

Step-by-step explanation:

24/4=6, so you need to multiply everything by six

The number of different sums that are possible for the three darts landing in numbered regions of the dart board depends on the range of scores that can be achieved by each dart. There would be 220 different possible sums for the three darts landing in numbered regions of the dart board.

Let's assume that each dart can score a maximum of N points. To find the number of different sums, we can analyze the possible combinations of scores for the three darts.

One way to approach this is by using the concept of combinations with repetitions. We can think of the three darts as three slots where we can place a score from 0 to N.

For example, if N = 10, the possible scores for each dart would be 0, 1, 2, 3, ..., 10.

To find the number of different sums, we can calculate the number of combinations with repetitions for these scores.

The formula to calculate the number of combinations with repetitions is given by:

C(n + r - 1, r)

where n is the number of scores (N + 1) and r is the number of darts (3).

Using this formula, we can find the number of different sums for any given value of N.

For example, if N = 10, the number of different sums would be:

C(10 + 3 - 1, 3) = C(12, 3) = 220

Therefore, there would be 220 different possible sums for the three darts landing in numbered regions of the dart board.

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Answer:

$15

Step-by-step explanation:

(a). Name of internet service provider is categorical variable because it cannot be quantified or measured. It can be divided into different categories according to the service they provide.

A categorical variable (also called qualitative variable) is a variable that can take on one of a limited, and usually fixed, number of possible values, assigning each individual or other unit of observation to a particular group or nominal category on the basis of some qualitative property.

Measurement scale used for determination is nominal scale, also called the categorical variable scale.

(b). Time in hours, spent surfing the internet per week is continuous numerical variable because time can be measured over an infinite number of real values within a given interval.

A variable is said to be continuous if it can assume an infinite number of real values within a given interval.

Measurement scale used for determination is ratio scale.

(c). Whether the individual uses a mobile phone to connect to the internet is categorical variable because the answer can only be yes or no and it cannot be measured numerically.

A categorical variable (also called qualitative variable) is a variable that can take on one of a limited, and usually fixed, number of possible values, assigning each individual or other unit of observation to a particular group or nominal category on the basis of some qualitative property.

Measurement scale used for determination is nominal scale, also called the categorical variable scale.

(d). Number of online purchases made in a month is discrete numerical variable because it is a value that arises through a counting process.

A discrete quantitative variable is one that can only take specific numeric values (rather than any value in an interval), but those numeric values have a clear quantitative interpretation.

Measurement scale used for determination is interval scale.

(e). Where the individual uses social networks to find sought -after information is categorical variable because the answer can only be yes or no and it cannot be measured numerically. It can be either he/she uses or he/she do not.

A categorical variable (also called qualitative variable) is a variable that can take on one of a limited, and usually fixed, number of possible values, assigning each individual or other unit of observation to a particular group or nominal category on the basis of some qualitative property.

Measurement scale used for determination is nominal scale, also called the categorical variable scale.

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The new function formed is $700 + $5( x miles)

f(x) = 700 + $5( x miles)

Mathematical calculus' core component is functions. The unique forms of relationships are the functions. When it comes to arithmetic, a function is represented as a rule that produces a different result for each input x. The entire set of values that the function is capable of accepting when it is defined is referred to as the domain. All of the values that the function's output produces are referred to as the range. The group of values that could be a function's outputs are referred to as co-domain. In mathematics, a relation f is referred to as a function when it connects two sets, A and B, respectively. When a = A and b = B, f = (a,b)|

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Therefore, if the person works 54 hours, they would make $1,163.04. Rounded to 2 decimal places, the answer is $1,163.00.

The decimal system employs ten decimal digits, a decimal mark, and a minus sign ("-") for negative quantities when writing numbers. The decimal digits are 0 through 9, with the dot (".") serving as the decimal separator in many (mainly English-speaking) nations and the comma (",") in others.

The fractional portion of the number is represented by the place value that follows the decimal. The number 0.56, for instance, is composed of 5 tenths and 6 hundredths.

We can use proportionality to solve this problem. If the person works 25 hours and makes $539, then their hourly rate is:

$539 ÷ 25 hours = $21.56 per hour

They would make if they work 54 hours, we can multiply their hourly rate by the number of hours worked:

$21.56 per hour × 54 hours = $1,163.04

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A spool of thread measuring 8 3/4 inches long and 4 inches wide can be cut into 2 1/7 inch pieces.

In light of the conditions stated, come up with: \($\frac{8 \frac{3}{4}}{2 \frac{1}{7}}$\) To improper fractions, change the mixed numbers to: \($\frac{\frac{35}{4}}{\frac{15}{7}}$\) Multiply the reciprocal of a fraction to get its division: \($\frac{35}{4} \times \frac{7}{15}$\)

Mark this common element as a no-go: Multiplying \($\frac{7}{4} \times \frac{7}{3}$\) Mark the common element as absent: Multiplying \($\frac{7 \times 7}{4 \times 3}$\) . Put the following in one fraction : \($\frac{49}{12}$\) . The product or quotient should be

calculated.Find the biggest number that is greater than \($\frac{49}{12}$\) and less than or equal to it . A spool of thread measuring 8 3/4 inches long and 4 inches wide can be cut into 2 1/7 inch pieces.Otherwise, you or a device will need to count 127 turns (the irreducible repeat, independent of thread pitch), after which the half nut must be closed.

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Answer:

Step-by-step explanation:

No, this is not correct.

Step 1: Find the directional distance from every vertex on the blue image to  the center, Point C.

Point A is 1 unit left and 4 units upwards to Point C.

Point B is 4 units right and 5 units upwards to Point C.

Point C is the center of the dilation, so that point will not change.

Step 2: Apply the scale factor to the directional distances to know the distances of the new images.

The scale factor is 2 so

Point A' should be 2 units left and 8 units upwards to Point C.

Point B' should 8 units right and 10 units upwards to Point C.

Step 3:  Move the point in respect to Point C.

The new image should have the these points.

One point that is 2 units left and 8 units upwards to Point C.

Another point that is Point B' should 8 units right and 10 units upwards to Point C.

One point that coincides  with  Point C.

Answer:

A

Step-by-step explanation:

13 + 4 = 17

so A

Step-by-step explanation:

Side AB is Adj

Side BC is OPP

Side AC is HYP

Apply sine function.

\( \sin(x) = \frac{4}{13} \)

Take the inverse of sine.

\( \sin {}^{ - 1} ( \frac{4}{13} ) = 17\)

Answer:

(X - 1)3

Step-by-step explanation:

I’m not so sure but this is the best I can do. If this helps, pls give brainliest.

Answer:

Velocity in still air: 760 mi/ hr

Velocity against the wind: 210 mi/ hr

Step-by-step explanation:

Given

See attachment for complete question

Required

The rate in still air

The rate of the wind

From the question, the velocity (v) against the wind is:

\(v =\frac{distance}{time}\)

\(v =\frac{3040}{4}\)

\(v_1 =760mi/hr\)

The velocity with the wind is:

\(v_2 = \frac{8260}{7}\)

\(v_2 = 1180mi/hr\)

Let:

\(x \to\) velocity in still air

\(y \to\) velocity of the wind

So, we have:

\(x - y = 760\)

\(x + y = 1180\)

Add both equations

\(x + x -y + y = 760 + 1180\)

\(2x = 1940\)

Divide by 2

\(x = 970\)

Substitute \(x = 970\) in \(x - y = 760\)

\(970 - y= 760\)

Make y the subject

\(y = 970 - 760\)

\(y = 210\)

There searched up please be correct

Answer:

domain (x) is equal to or greater than 0 and range is equal to or greater than 6. for the graph.

Step-by-step explanation:

Pls don't judge me if this is wrong

The absolute distance of the Evelyn scores from her mean score is greater than the absolute distance of Robin scores from his mean score.

Mean is simply defined as the average of the given set of numbers. The mean is considered as one of the measures of central tendencies in statistics. The mean is said to be an arithmetic mean. It is the ratio of the sum of the observation to the total number of observations.

Mean refers to the average of the observation and deviation means the variation from the present standard.

Given

Robin’s scores: 99, 108, 102, 107, 119

Mean = 107

MAD = 5.2

Evelyn’s scores: 125, 137, 138, 145, 145

Mean = 138

MAD = 5.6

The absolute distance of the Evelyn scores from her mean score is greater than the absolute distance of Robin scores from his mean score.

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If \(f^{-1}(x)\) is the inverse of \(f(x)\), then by definition of inverse function,

\(f\left(f^{-1}(x)\right) = x\)

so that

\(f\left(f^{-1}(x)\right) = 2f^{-1}(x)-10 = x\)

Solve for the inverse:

\(2f^{-1}(x) - 10 = x \\\\ 2f^{-1}(x) = x+10 \\\\ \boxed{f^{-1}(x) = \dfrac x2 + 5}\)

Answer:

CA ≈ 3.1 ft

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan40° = \(\frac{opposite}{adjacent}\) = \(\frac{BC}{CA}\) = \(\frac{2.6}{CA}\) ( multiply both sides by CA )

CA × tan40° = 2.6 ( divide both sides by tan40° )

CA = \(\frac{2.6}{tan40}\) ≈ 3.1 ft ( to the nearest tenth )

we need to use the information provided and make some assumptions. We know that the Health Corporation reported sales of $213,031 million in the current year and that property, plant, and equipment (PPE), net of depreciation, was $12,210 million. We also know that capital expenditures (purchases of new PPE) were $2,770 million in the currentyear.

To project capital expenditures for the following year, we need to estimate how much new PPE the Health Corporation will need to purchase to support its projected sales growth. Assuming that sales will increase by 4% per year over the next five years, we can estimate the following year's sales as follows: Projected Sales for the Following Year = Current Year Sales x (1 + Sales Growth Rate) Projected Sales for the Following Year = $213,031 million x (1 + 0.04) Projected Sales for the Following Year = $221,309.24 million To estimate the amount of new PPE needed to support this increase in sales, we can use the following formula: Projected Capital Expenditures = (Projected Sales - Current Year PPE) x Capital Intensity Ratio The capital intensity ratio is the ratio of capital expenditures to sales. In other words, it is the percentage of sales that the Health Corporation needs to invest in new PPE to support its operations. We can calculate the capital intensity ratio using the information provided: Capital Intensity Ratio = Capital Expenditures / Sales
Capital Intensity Ratio = $2,770 million / $213,031 million Capital Intensity Ratio = 1.30% Now we can calculate the projected capital expenditures for the following year Projected Capital Expenditures = ($221,309.24 million - $12,210 million) x 1.30% Projected Capital Expenditures = $2,880 million Therefore, the projected capital expenditures (purchases of new PPE) for the following year is d. $2,880 million. The projected capital expenditures for the following year are approximately $2,880 million, which corresponds to option d. $2,880 million.

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The value of  x that gives the box the greatest volume is approximately 2.08

The equation of the volume of the box is given as:

V(x) = x(12 - 2x)(13 - 2x)

Expand

V(x) = (12x - 2x^2)(13 - 2x)

V(x) = 156x - 24x^2 - 26x^2 + 4x^3

V(x) = 156x - 50x^2 + 4x^3

Differentiate the function

V'(x) = 156 - 100x + 12x^2

Set to 0

156 - 100x + 12x^2 = 0

Rewrite as:

12x^2 - 100x + 156 =0

Divide through by 4

3x^2 - 25x + 39 =0

Using a graphing calculator, the values of x are:

x = 2.08 and x = 6.26

Substitute these values of x in V(x)

V(2.08) = 2.08 * (12 - 2 * 2.08)(13 - 2 * 2.08) = 144.16

V(6.26) = 6.26 * (12 - 2 * 6.26)(13 - 2 * 6.26) = -1.56

The volume cannot be negative.

So, we have:

V(2.08) =  144.16

Hence, the value of  x that gives the box the greatest volume is approximately 2.08

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To solve this problem, we need to find the x-values where the curve intersects the x-axis, which occurs when y=0.
0=x²-2kx ,We can factor out an x: 0=x(x-2k) .So the x-intercepts are at x=0 and x=2k.

To find the value of k, we need to follow these steps:

Step 1: Find the points of intersection between the curve y = x^2 - 2kx and the x-axis.
To do this, set y = 0:
0 = x^2 - 2kx
x(x - 2k) = 0

This means that the curve intersects the x-axis at x = 0 and x = 2k.

Step 2: Determine the limits of integration.
Since we are looking for the region in the fourth quadrant, we will have limits 0 and 2k for our integration.

Step 3: Calculate the area using integration.
Area = ∫[0 to 2k] (x^2 - 2kx) dx

Step 4: Solve the integral.
Area = [1/3x^3 - kx^2] evaluated from 0 to 2k
Area = (1/3(2k)^3 - k(2k)^2) - (1/3(0)^3 - k(0)^2)
Area = (8k^3/3 - 4k^3)

Step 5: Set the area equal to 36 and solve for k.
36 = 8k^3/3 - 4k^3
36 = (8k^3 - 12k^3)/3
36 = -4k^3/3

Now, multiply both sides by 3 and divide by -4:
-108/-4 = k^3
27 = k^3

Take the cube root of both sides:
k = 3

The value of k is 3 (Option b).

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C is the most accurate one i guess

The percentage of the variation in y can be explained by the corresponding variation in x and the least - squares line

The value of the coefficient of determination r2 = 0.9617*0.9617 = 0.9249

percentage of the variation in y can be explained by the corresponding variation in x and the least - squares line is = 92.49%

So, percentage is unexplained = (100 - 92.49)%

= 7.51%

Therefore, the percentage of the variation in y that can be explained by the corresponding variation in x and the least-squares line is 92.49% . The percentage which is unexplained is 7.51% i.e. (100%−92.49%) .

Hence the variation in X and the least-squares line is 7.51%

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9 miles per gallon of gas is used in his car.

The standard volume and capacity for measuring liquids is the gallon.The word gallon is shortened to gal.Currently, there is only one definition for the gallon in the imperial system and two that is dry and liquid in the US customary system.

Here the given information is as,

Car travels = 144 miles

Tank hold gas = 16 gallons

So, for miles per hour,

= 144 / 16

= 9 miles / gallon

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