Karen wants to advertise how many chocolate chips (in grams) are in each Big Chip cookie at her bakery. She randomly selects a sample of 13 cookies and finds that the number of chocolate chips per cookie in the sample has a mean of 60.3 and a standard deviation of 37.5. What is the 98% confidence interval for the number of chocolate chips per cookie for Big Chip cookies? O 32.4<< 88.2 O 12.4 < x < 108.2 46.5< < 74.1 21.5<<99.1 O 15.3<< 105.3

Answer:

see below

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

A = pi (5)^2

A = 25 pi

Using 3.14 for pi

A = 78.5 ft^2

Using the pi button

A =78.53981634 ft^2

Answer:

k = 5

Explanation:

Answer:

K = 5

Step-by-step explanation:

Up so it must be positive and 5 because it says 5

Answer:

You wouldn't have to regroup at all

Step-by-step explanation:

8-8 is 0 no regrouping there. 7-6 is 1 no regrouping there. 7-1 is 6 no regrouping there. Answer is 610 as well

Answer:

62.in.2

Step-by-step explanation:

4*8 = 32

(8-4) * (10-4-1.5) = 18

8*1.5 = 12

32+18+12 = 62

To determine what Morton should conclude, we need to consider the significance level or alpha level that was used in the hypothesis tests. The significance level is the probability of rejecting the null hypothesis when it is actually true, and it is typically set to 0.05 or 0.01.

If the p-value is less than or equal to the significance level, then the null hypothesis is rejected and the alternative hypothesis is accepted.In this case, we don't know what significance level was used in the hypothesis tests, but we can compare the p-values to a significance level of 0.05. If the p-value is less than or equal to 0.05, then the null hypothesis can be rejected with 95% confidence. If the p-value is greater than 0.05, then the null hypothesis cannot be rejected at the 95% confidence level.

Based on this comparison, we can conclude that Morton should reject the null hypothesis for the first hypothesis test with a p-value of 0.037, since this is less than 0.05. For the second hypothesis test with a p-value of 0.064, Morton should not reject the null hypothesis at the 95% confidence level, but she may choose to reject it at a lower confidence level, such as 90% or 80%. However, without knowing the significance level used in the tests, it is difficult to draw firm conclusions about the results.

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The statement; In western culture, 4 to 12 feet is considered public space whereas personal space is 1½ to 4 feet is false.

These refers to culture which is related to the people of the west.

Culture

This can be defined as the beliefs, values, behaviour and material objects that constitute a people's way of life.

Therefore, it is b false that in western culture, 4 to 12 feet is considered public space whereas personal space is 1½ to 4 feet.

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Explanation:

The test statistic for proportion is equal to:

Where p' is the sample proportion, p is the value in H0, and n is the size of the sample.

In this case, p = 0.72, n = 51 and p' can be calculated:

Then, replacing these values, we get:

There are several methods to convert fractions to decimals, and one additional method is to use a variation of the first method listed in search result .

Here are the steps:

Find a number you can multiply both the numerator and denominator of the fraction by to create an equivalent fraction with a denominator that is a power of 10. For example, if the denominator is 3, you can multiply both the numerator and denominator by 10 to get the equivalent fraction of 20/30.

Once you have an equivalent fraction with a denominator that is a power of 10, divide the numerator by the denominator to get the decimal value. For example, 20/30 is equivalent to 2/3, and dividing 2 by 3 gives a decimal value of 0.666...

This method is useful when the denominator of the fraction is not easily convertible to a power of 10. By finding a number to multiply both the numerator and denominator by, you can create an equivalent fraction that is easier to convert to a decimal.

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Answer:

1/144 (decimal: 0.0069 4) the four is repeating.

Step-by-step explanation:

2-2<4-5=1 hope this helps :D

The side lengths that cannot form a triangle are: 2 ft, 3 ft, 8 ft.

On average, approximately 3.152 customers will be waiting in the queue at the stadium.

To calculate the average number of customers waiting in the queue, we can use the queuing theory formulas. The arrival rate of customers is given as 180 per minute, which means the arrival rate is λ = 180/60 = 3 customers per second. The service time is given as an average of 21 seconds per customer, so the service rate is μ = 1/21 customers per second.

To calculate the utilization factor (ρ), we divide the arrival rate by the service rate: ρ = λ/μ. In this case, ρ = 3/1/21 = 9.857.

Next, we calculate the coefficient of variation for arrival time (C_a) and service time (C_s) using the given values. C_a = 13% = 0.13 and C_s = 13% = 0.13.

Using the queuing theory formula for the average number of customers waiting in the queue (L_q), we have L_q = ρ^2 / (1 - ρ) * \((C_{a}^2 + C_{s}^2)\) / 2.

Plugging in the values, L_q = \((9.857^2) / (1 - 9.857) * (0.13^2 + 0.13^2) / 2 = 3.152\).

Therefore, on average, approximately 3.152 customers will be waiting in the queue at the stadium.

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Answer:

92% of Income is  Rs 18400

Step-by-step explanation:

I = 18400/.92 = Rs 20000

Answer:

$960

Step-by-step explanation:

simple interest = \(\frac{P R T}{100}\)

= \(\frac{4000*6*4}{100}\)

= $960

I = PRT

I = 4000×0.06×4= 960

Interest = 960 dollars

Answer:

a = 9

Step-by-step explanation:

a+11=20

Subtract 11 from each side

a+11-11 = 20-11

a = 9

Answer:

15.23

Step-by-step explanation:

the length of XY =√(5+9)²+(-4-2)²

=√14²+(-6)²

=√196+36

=√232

= 15.23

\(\\ \rm\longmapsto XY=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

\(\\ \rm\longmapsto XY=\sqrt{(5+9)^2+(-4-2)^2}\)

\(\\ \rm\longmapsto XY=\sqrt{(14)^2+(-6)^2}\)

\(\\ \rm\longmapsto XY=\sqrt{196+36}\)

\(\\ \rm\longmapsto XY=\sqrt{232}\)

\(\\ \rm\longmapsto XY=15.2\)

There is the not sufficient evidence that the average small business loan is different that the amount stated in the  investment blog.

What is standard deviation?

The standard deviation in statistics is a measurement of how much a group of values can vary or be dispersed. A low standard deviation suggests that values are often close to the set's mean, whereas a large standard deviation suggests that values are dispersed over a wider range.

Here we have given that,

Claim: To check whether the average small business loan is different that the amount stated in the  investment blog.

The hypothesis is,

H0: μ= 20 thousand dollars  Versus  H0: μ ≠ 20 thousand dollars

We have given that,

n= Number of observation = 25

x bar  = sample mean =18.5

S= sample standard deviation =5

Here, population standard deviation is unknown, we use the one sample t test.

t - statistics = (x bar - μ) / (s / √n)

                   = (18.5 - 20) / (5 / √25)

                   = -1.342

we get,

the Test statistic is -1.342

Now we find the P-value

α = level of significance = 0.05

Degrees of freedom = n - 1 = 25 - 1 = 24

This is two tailed test as our interest is to show the population mean is equal or not equal to zero.

Now, we can find the P-value

P-value = 0.1922     Using EXCEL = TDIST( | t-statistics | = 1.342 , D.F=24, tail=2)

Hence, There is the not sufficient evidence that the average small business loan is different that the amount stated in the investment blog.

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The angle of depression formed by the cable is approximately 41.4 degrees.

The angle of depression is the angle formed by the horizontal line and the line of sight from the observer to an object that is lower than the observer's position. In this case, the observer is at the top of the tower and the object is at the end of the cable that is stretched to a point 350 feet away from the base of the tower.

To find the angle of depression, we can draw a diagram as follows:

where h is the height of the tower, d is the horizontal distance from the base of the tower to the point where the cable is attached, and θ is the angle of depression that we want to find.

From the diagram, we can see that

tan(θ) = h / d

We know that the length of the cable is 500 feet and the horizontal distance from the base of the tower to the point where the cable is attached is 350 feet. We can use the Pythagorean theorem to find the height of the tower:

h^2 = 500^2 - 350^2

h = sqrt(500^2 - 350^2)

h = 300

Now we can substitute the values we have found into the equation for tan(θ) to get:

tan(θ) = 300 / 350

θ = tan^-1(300/350)

θ ≈ 41.4 degrees

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The given ODE with roots 1,2 = α ± βi, which have the form y(t) = e^(αt)(Acos(βt) + Bsin(βt)). The statement is false.

Euler's method is a numerical method for approximating solutions to ordinary differential equations (ODEs), but it does not provide any explanation for the form of solutions to specific ODEs.

The form of solutions to a second-order, linear, homogeneous ODE with constant coefficients can be determined by finding the roots of the characteristic equation. If the roots of the characteristic equation are complex conjugates of the form α ± βi, then the solution has the form y(t) = e^(αt)(Acos(βt) + Bsin(βt).

This solution form can be derived using techniques such as the method of undetermined coefficients or the method of variation of parameters, which do not involve Euler's method.

Therefore, Euler's method is not relevant to explaining the form of solutions of the given ODE with roots 1,2 = α ± βi, which have the form y(t) = e^(αt)(Acos(βt) + Bsin(βt)) . The statement is false.

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Answer:

-125

Step-by-step explanation:

Twice a number is x*2

x*2 = 500 + x*6

=> x = -125

Answer:

868.5

Step-by-step explanation:

18 times 40 = 720

720 + 5 times 27 =135

135 + 27 divided by 5 = 13.5

720+135+13.5= 868.5

The solution of the differential equation \(y^5 x \frac{d y}{d x}=1+x\) is \(y^6=6 \log x+6 x+723\).

In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives.

A differential equation is an equation that contains one or more terms and the derivatives of one variable (i.e., dependent variable) with respect to the other variable (i.e., independent variable).

To solve the differential equation \(y^5 x \frac{d y}{d x}=1+x\), firstly, separate the variables as follows:

\(\begin{aligned}& y^5 d y=\left(\frac{1+x}{x}\right) d x \\& y^5 d y=\left(\frac{1}{x}+1\right) d x\end{aligned}\)

Integrating both sides, we get the following:

\(\begin{aligned}& \int y^5 d y=\int\left(\frac{1}{x}+1\right) d x \\& \frac{y^6}{6}=\log x+x+c\end{aligned}\)

We are given the initial condition as y(1) = 3.

Substitute x=1 and y=3, we get the following:

\(\begin{aligned}\frac{3^6}{6} & =\log 1+1+c \\c & =\frac{3^5}{2}-1 \\c & =\frac{243-2}{2}=\frac{241}{2}\end{aligned}\)

Substitute c=241/2 in the equation \(\frac{y^6}{6}=\log x+x+c\), we get the following:

\(\begin{aligned}& \frac{y^6}{6}=\log (x)+x+\frac{241}{2} \\& y^6=6 \log (x)+6 x+3(241) \\& y^6=6 \log x+6 x+723\end{aligned}\)

This is the required solution of the given differential equation.

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The image point of (8,9) after the transformation T-1,20 R270- is (-11, 20).

To explain the transformation and how we arrived at the final image point, we need to break it down into two parts: translation and rotation.

T-1,20 represents a translation of -1 unit horizontally and 20 units vertically. This means that we shift the original point (8,9) one unit to the left and 20 units upwards. After the translation, the new coordinates become (8 - 1, 9 + 20) = (7, 29).

R270- represents a rotation of 270 degrees in the clockwise direction. This means that we rotate the point (7,29) around the origin by 270 degrees clockwise. After the rotation, the new coordinates become (-29, -7).

Therefore, the final image point after both the translation and rotation is (-29, -7). This means that point (8,9) is transformed to (-29, -7) after applying the given transformation.

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Answer:

quotient of 3x3 - 25x2 + 12x - 32 and x - 8 is 3x^2-x+4

The quotient of the polynomial is 3x^2 + x + 4.

Synthetic division is used when a polynomial is to be divided by a linear expression and the leading coefficient (first number) must be a 1. Synthetic division is generally used, however, not for dividing out factors but for finding zeroes (or roots) of polynomials.

For the given situation,

The polynomial is 3x^3 - 25x^2 + 12x - 32.

The divisor is x - 8.

The quotient can be found by using synthetic division method as,

Step 1: Write the coefficients of the polynomial. Here x - 8 is a binomial, which divides the polynomial. So x = 8, write the division as

⇒ \(8 | 3 - 25 + 12 - 32\\\)

⇒          \(24-8+32\)

       \(--------\\\)

        \(3-1+4\)    \(|0\)

Step 2: On dividing we get the quotient as \(3x^{2} -x+4\)

Hence we can conclude that the quotient of the polynomial is             3x^2 - x + 4.

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Answer:

Step-by-step explanation:

19x - 5y = 5

slope intercept form y=mx+b b is the constant

Add y to the other side to make it positive : 19x = 5 + 5y

subtract 5 from each side: 19x -5 =5y

Divide both sides by 5 to get y by itself: (19/5)x - 1 = y

Rewrite: y= (19/5)x -1

Answer: 15

Step-by-step explanation:

Distance formula: a^2+b^2=c^2 where c is the distance.

a^2=

(-6-3)^2=

(-9)^2=81

b^2=

(5-(-7))^2=

(5+7)^2=

12^2=144

c^2=81+144=225

If c^2=225, then what's c?

c=15

Answer:

1.) x+2

2.) x+4

Step-by-step explanation:

I got it right on Edge, hope this helps

The expression represents the second consecutive odd integer is X + 2

and for the third consecutive odd integer is X + 4.

All whole numbers and negative numbers are considered integers. This means that if we combine negative numbers with whole numbers, a set of integers is formed.

An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion.

Given One example of consecutive odd integers would be 3, 5, 7, 9, ...

the difference between 2 consecutive numbers is

5 - 3 = 2

when X is the first odd integer,

the second consecutive odd integer is X + 2

difference between 3rd and first digit is

7 - 3 = 4

the third consecutive odd integer is X + 4

Hence adding the consecutive even numbers to the first digit of odd numbers gives the consecutive odd numbers.

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If the takt time for a process is 150 ​seconds, what is the demand for the​ process. The demand is 24 units per hour.

Calculating the demand for a process with a takt time of 150 seconds is relatively simple. To begin, we need to convert the takt time from seconds to hours. This can be done by dividing the takt time by 3,600 (the number of seconds in an hour).

The calculation is as follows:

150 seconds / 3,600 seconds = 0.041666667 hours

Next, we need to calculate the demand for the process by dividing 1 hour by the takt time (in hours). The calculation is as follows:

1 hour / 0.041666667 hours = 24 units per hour

Therefore, the demand for the process is 24 units per hour.

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Answer:

3 and 7/15 hours

Step-by-step explanation:

1. Divide 52 by 15

Answer:

Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this

Step-by-step explanation: