A simple random sample from a population with a normal distribution of 100 body temperatures has x = 98.40°F and s=0.61°F. Construct a 90% confidence interval estimate of the standard deviation of body temperature of all healthy humans. Click the icon to view the table of Chi-Square critical values. **** °F<<°F (Round to two decimal places as needed.) A survey of 300 union members in New York State reveals that 112 favor the Republican candidate for governor. Construct the 98% confidence interval for the true population proportion of all New York State union members who favor the Republican candidate. www OA. 0.304

Answer:

in this form the first one next to the x is the slope and the added value is the y intercept

if something is parrell that means the same slop so

3/4

Hope This Helps!!!

The correct answer is

H₀ : μh - μc = 0

H₀ : μh - μc ≠ 0

Given that,

Regarding the subsequent 3 inquiries: A study collected information on how much time 28 randomly chosen high school students and 31 randomly chosen college students spent each day on their cellphones. The researcher is interested in learning whether there is proof that students use their phones for varying amounts of time in high school and college.

Because the samples of college and high school students are independent, the independent samples t-test should be utilized.

The study's research (Claim) aims to ascertain whether students' cell phone usage patterns alter between high school and college.

For the independent samples t-test and the stated claim, the proper null and alternate hypotheses are,

H₀ : μh - μc = 0

H₀ : μh - μc ≠ 0

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The proper null and alternative hypotheses are

\(H_{0}\) : μh = μc

\(H_{A}\) : μh - μc

The study's research wants to ascertain whether difference between the time spent by high school students and college students.

The actual test begins by considering two hypothesis i.e. null hypothesis and alternative hypothesis.

Let, H= time spent on the phone by high school students;

C= Time spent on the phone by college students; and

d=H−C

For the independent samples t-test and the stated claim, the proper null and alternate hypotheses are,

\(H_{0} :\) μh = μc  (time spent by high school students is equal to college students)

\(H_{A} :\) μh - μc  (difference between the time spent by high school students and college students)

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Answer:

∠J = 61º

Complimentary angles are angles that add up to 90º

∠J = 90º - ∠Kº

= 90º - 29º

=61º

Answer: 1/6

Step-by-step explanation: Have a blessed day

(a) The function f(x) = \(x^{3} +x^{2}\) + 7x + 5 satisfies f'(x) = 3\(x^{2}\) + 2x + 7 and f(0) = 5. (b) The function f(x) = \(x^{6}\) + cos(x) + 3\(x^{2}\) satisfies f''(x) = 30\(x^{4}\) - cos(x) + 6, f'(0) = 0, and f(0) = 0.

To find f(x) given function f'(x) = 3\(x^{2}\) + 2x + 7 and f(0) = 5:

We integrate f'(x) to find f(x): ∫(3\(x^{2}\) + 2x + 7) dx =\(x^{3}\) + \(x^{2}\) + 7x + C

To determine the constant of integration, we substitute f(0) = 5:

0^3 + 0^2 + 7(0) + C = 5

C = 5

Therefore, f(x) = \(x^{3}\)+ \(x^{2}\) + 7x + 5.

To find f(x) given f''(x) = 30\(x^{4}\) - cos(x) + 6, f'(0) = 0, and f(0) = 0:

We integrate f''(x) to find f'(x): ∫(30\(x^{4}\) - cos(x) + 6) dx = 6\(x^{5}\) - sin(x) + 6x + C

To determine the constant of integration, we use f'(0) = 0:

6\((0)^{5}\) - sin(0) + 6(0) + C = 0

C = 0

Now we integrate f'(x) to find f(x): ∫(6x^5 - sin(x) + 6x) dx = x^6 + cos(x) + 3x^2 + D

To determine the constant of integration, we use f(0) = 0:

(0)^6 + cos(0) + 3\((0)^{2}\) + D = 0

D = 0

Therefore, f(x) =\(x^{6}\) + cos(x) + 3\(x^{2}\).

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Answer: x = 5

Step-by-step explanation:

first, divide both sides.

30 = -(-10 - 4x)

then, remove the parenthesis.

30 = 10 + 4x

them, move the terms.

=4x = 10 - 30

finally, divide both sides.

-4x = 20

solution: x = 5

Answer:

The original area of the square was 24

Step-by-step explanation:

Let's say the dimension of the new square is 9 and 10, that'll make 90

Let's say the original dimensions were 9 - 7, 10 + 2 which is 2, 12

The area of the original dimensions is 24 square feet and they altered that to make the resulting rectangle 90 square feet.

Answer:

The area of the original SQUARE is 64 sq feet. x = 8

It was an 8 × 8 SQUARE.

Step-by-step explanation:

Let x = the original side length.

x + 7 is a new side

x - 2 is the other new side. Its a rectangle now.

Area of a rectangle:

A = length × width

A = (x+7)(x-2)

90 = x^2 +5x -14

Solve. Subtract 90.

0 = x^2 + 5x - 104

Factor.

0 = (x + 13)(x - 8)

x + 13 = 0 and x-8=0

x = -13 and x = 8

-13 is discarded because lengths cannot be negative.

x = 8 is the original side length of the square.

Area is 8×8 = 64 sqft

One of the biggest ethical issues many marketers face today relates to consumer privacy and data protection.

In today's digital age, marketers have access to vast amounts of consumer data, including personal information and online behavior. The ethical issue arises when marketers collect, use, and share this data without adequate transparency, consent, or protection of consumer privacy. It raises concerns about invasion of privacy, unauthorized data sharing, and potential misuse of personal information for targeted advertising or other purposes.

Marketers are increasingly under scrutiny to ensure ethical practices in data collection, storage, and usage, balancing the need for effective marketing strategies with respect for individual privacy rights. Failure to address these ethical concerns can lead to loss of trust, reputational damage, and legal consequences for companies. Therefore, marketers must navigate these ethical challenges by adopting transparent and responsible data practices, respecting consumer choices, and implementing robust privacy and security measures.

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Lohi Corp.'s expected capital gains yield over the next year is 0.48%.

To determine the price of lohi corp., we need to calculate the present value of its future dividends. First, we estimate that the company will skip the next three annual dividends. This means that we will start receiving dividends from the fourth year. The first dividend to be paid is $1.00, and subsequent dividends will grow at a constant rate of 6 percent per year. The required rate of return on lohi corp. is 14 percent per year. This is the rate of return that investors expect to earn from investing in the company.

To calculate the price of Lohi Corp., we need to use the dividend discount model (DDM). The DDM formula is:

Price = Dividend / (Required rate of return - Dividend growth rate)

In this case, we know that Lohi Corp. will skip its next three annual dividends and then resume paying a dividend of $1.00. The dividend growth rate is 6% per year, and the required rate of return is 14% per year.

First, let's calculate the present value of the future dividends:

PV = (1 / (1 + Required rate of return))^1 + (1 / (1 + Required rate of return))^2 + (1 / (1 + Required rate of return))^3

PV = (1 / (1 + 0.14))^1 + (1 / (1 + 0.14))^2 + (1 / (1 + 0.14))^3

PV = 0.877 + 0.769 + 0.675

PV = 2.321

Next, let's calculate the price:

Price = (Dividend / (Required rate of return - Dividend growth rate)) + PV

Price = (1 / (0.14 - 0.06)) + 2.321

Price = (1 / 0.08) + 2.321

Price = 12.5

Therefore, the price of Lohi Corp. should be $12.50.

To calculate the expected capital gains yield over the next year, we need to use the formula:

Capital gains yield = (Dividend growth rate) / (Price)

Capital gins yield = 0.06 / 12.5

Capital gains yield = 0.0048

Convert to percentage:

Capital gains yield = 0.0048 * 100

Capital gains yield = 0.48%

Therefore, Lohi Corp.'s expected capital gains yield over the next year is 0.48%.

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Lohi Corp.'s expected capital gains yield over the next year is 0.48%.

To determine the price of lohi corp., we need to calculate the present value of its future dividends. First, we estimate that the company will skip the next three annual dividends. This means that we will start receiving dividends from the fourth year. The first dividend to be paid is $1.00, and subsequent dividends will grow at a constant rate of 6 percent per year. The required rate of return on lohi corp. is 14 percent per year. This is the rate of return that investors expect to earn from investing in the company.

To calculate the price of Lohi Corp., we need to use the dividend discount model (DDM). The DDM formula is:

\(Price = Dividend / (Required rate of return - Dividend growth rate)\)

In this case, we know that Lohi Corp. will skip its next three annual dividends and then resume paying a dividend of $1.00. The dividend growth rate is 6% per year, and the required rate of return is 14% per year.

First, let's calculate the present value of the future dividends:

\(PV = (1 / (1 + Required rate of return))^1 + (1 / (1 + Required rate of return))^2 + (1 / (1 + Required rate of return))^3\)

\(PV = (1 / (1 + 0.14))^1 + (1 / (1 + 0.14))^2 + (1 / (1 + 0.14))^3\)

\(PV = 0.877 + 0.769 + 0.675\)

PV = 2.321

Next, let's calculate the price:

\(Price = (Dividend / (Required rate of return - Dividend growth rate)) + PV\)

\(Price = (1 / (0.14 - 0.06)) + 2.321\)

Price = (1 / 0.08) + 2.321

Price = 12.5

Therefore, the price of Lohi Corp. should be $12.50.

To calculate the expected capital gains yield over the next year, we need to use the formula:

\(Capital gains yield = (Dividend growth rate) / (Price)\)

\(Capital gins yied = 0.06 / 12.5\)

Capital gains yield = 0.0048

Convert to percentage:

Capital gains yield = 0.0048 * 100

Capital gains yield = 0.48%

Therefore, Lohi Corp.'s expected capital gains yield over the next year is 0.48%.

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The value of the expression below when x=5x=5?

8x+9 is equal to \(7^{2}\) (or) 49.

Substitute \(\left \{ {{x=5x} \atop {5x=5}} \right. into (8x+9)\)

The expression,

y = 8x + 9

If the domain of the function is x = 5, hence the range of the function is gotten by substituting x = 5 into the given function as shown:

So, we can substitute x = 5,

Then, y = 8 * 5 + 9

Calculate the product or quotient,

y = 40 + 9

Calculate the sum or difference,

y = 49

We can write alternative form,

y = \(7^{2}\)

Therefore,

Hence the value of the expressions if x = 5 is \(7^{2}\) (or) 49.

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When 70% of families will have four-wheelers and 30% of families will have two-wheelers, the projected guest attendance is 3000+1200 = 4200.

In mathematics, a percentage is a number or ratio that is expressed as a fraction of 100. Occasionally, the acronyms "pct.," "pct," and "pc" are also used. But it is commonly indicated by the percent sign, "%." The % amount has no dimensions. Percentages are essentially fractions when the denominator is 100. Use the percent sign (%) to indicate that a number is a percentage by placing it next to it. For instance, you score a 75% if you properly answer 75 out of 100 questions on a test (75/100). Divide the money by the total and multiply the result by 100 to calculate percentages. The formula for calculating the percentage is (value/total) x 100%.

given

2500 guests are present when four-wheelers are available.

two wheelers, the number of guests is 1500,

making the total 2500 + 1500 = 4000.

70 percent of families will own four-wheelers, or 3000/4000/100.

30% of families will own two-wheelers, which equals 4000/100 * 30%, or 1200.

When 70% of families will have four-wheelers and 30% of families will have two-wheelers, the projected guest attendance is 3000+1200 = 4200.

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To show that the functions {u1, u2, ..., un} are linearly independent on any interval (a, b) where uj(t) = t^λj with λ1, λ2, ..., λn being arbitrary unequal real numbers, we can assume the linear combination:

α1u1(t) + α2u2(t) + ... + αnun(t) = 0,

where α1, α2, ..., αn are constants. We need to show that the only solution to this equation is α1 = α2 = ... = αn = 0.

Divide the equation by t^λ1 and differentiate both sides, we get:

α1λ1t^(λ1-1) + α2λ2t^(λ2-1) + ... + αnλnt^(λn-1) = 0.

Now, let's consider the highest power of t in the equation. Since λ1, λ2, ..., λn are unequal, there must exist a λj that is the largest among them. Let's assume it is λj. In the equation, the term αjλjt^(λj-1) is the highest power of t.

For this equation to hold for all t on the interval (a, b), the coefficient αjλj must be zero. Otherwise, the equation cannot be satisfied for t approaching zero.

Now, we have αjλj = 0, which implies αj = 0 because λj ≠ 0.

Substituting αj = 0 back into the equation, we have:

α1λ1t^(λ1-1) + α2λ2t^(λ2-1) + ... + αnλnt^(λn-1) = 0

By repeating the same argument for each term, we can conclude that all the coefficients α1, α2, ..., αn must be zero.

Therefore, the functions {u1, u2, ..., un} are linearly independent on any interval (a, b).

Regarding the second question about the set of functions satisfying Lu=0 and any homogeneous side conditions, it can indeed form a vector space. This is because the set is closed under addition and scalar multiplication, and it contains the zero function (which satisfies the homogeneous side condition). The properties of a vector space hold for this set, making it a vector space.

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Answer:

Step-by-step explanation:

Total number of Hamburgers and Cheeseburgers = 394

Let the number of hamburgers = x

x + x - 56 = 394                           Combine the left

2x - 56 = 394                               Add 56 to both sides

2x - 56 + 56 = 394 + 56              Combine

2x = 450                                       Divide both sides by 2

2x/2 = 450/2

x = 225

Answer

To simulate project completion time in weeks using random numbers 0.8926, 0.1345, 0.4858, and 0.375, assign values, sum, and divide by 7, resulting in approximately 2.43 weeks.

To simulate the completion time of the project in weeks using the random numbers 0.8926, 0.1345, 0.4858, and 0.375, you can follow these steps:

1. Assign a value to each random number to represent a specific time unit. For example, you could consider 0.8926 as 8 days, 0.1345 as 2 days, 0.4858 as 4 days, and 0.375 as 3 days.

2. Sum up the values assigned to each random number. In this case, it would be 8 + 2 + 4 + 3 = 17 days.

3. Convert the total days to weeks by dividing it by 7. In this case, 17 days divided by 7 equals approximately 2.43 weeks.

Therefore, using these random numbers, the simulated completion time of the project would be approximately 2.43 weeks.

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A metric can be used to help us determine the extent of how much an outcome is achieved.

A metric is a quantifiable gauge that is employed to assess, scrutinize, and appraise diverse facets of a system, procedure, or outcome. It furnishes a standardized and unbiased approach to gauge and monitor performance or advancement towards particular objectives or goals. Metrics are commonly formulated based on precise criteria or prerequisites and can manifest as numerical or qualitative in essence.

They find application in various domains such as commerce, finance, science, engineering, and myriad others to evaluate performance, facilitate well-informed decisions, and oversee progress over time.

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Answer:

C, which is 340!

Step-by-step explanation:

Split the polygon into two rectangles to make it easier (see the attachment below), and calculate the areas of both rectangles. Then add the areas of the two rectangles, 264+76=340. So the answer is 340 square units, or C. Hope this helped!! :)

The area of polygon = 340 square units.

Area of rectangle = Length \(\times\) \(\tmes\)breadth

Area of rectangle (side A) = 19 \(\times\) 4 = 76

Area of rectangle (Side B) = 24 \(\times\) 14 = 264

To estimate the area of the polygon, add both of the equations then we get

Area of the polygon

= Area of a rectangle (side A) + Area of a rectangle (Side B)

= 76 + 264

Area of the polygon  = 340 square units.

Therefore, the correct answer is option C. 340 square units.

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Answer:

p=9

Step-by-step explanation:

-9p=-80-1

-9p=-81

p=-81/-9

p=9

Answer:

Step-by-step explanation:

-4 (-2x - 8) = -48

-4×(-2x)+4×8=-48

8x+32=-48

8x=-48-32

8x=-80

x=-10

The answer is -10

If you found my answer useful then please mark me brainliest.

Answer:

Step-by-step explanation:

Here you go mate

Use PEMDAS

Parenthesis,Exponent,Multiplication,Division,Addition,Subtraction

Step 1

-4(-2x-8)=-48  Equation/Question

Step 2

-4(-2x-8)=-48  Remove parenthesis

8x+32=-48

Step 3

8x+32=-48  Subtract 32

8x=-80

Step 4

8x=-80  Divide by 8

:answer

x=-10

Hope this helps

Answer:

The greatest number of orange juice bottles that can be displayed with the apple juice is 14. But if you want it in rows, its 2 or 8.

Step-by-step explanation:

Answer:

Answer:

minutes is the show the required quation

The first derivatives for the given functions are:

For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.

For  \(y = 100200x + 7x,\) the first derivative is dy/dx = 100207.

For \(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.

To find the first derivative for each of the given functions, we'll use the power rule, constant rule, and chain rule as needed.

For the function\(y = 3x^2 + 5x + 10:\)

Taking the derivative term by term:

\(d/dx (3x^2) = 6x\)

d/dx (5x) = 5

d/dx (10) = 0

Therefore, the first derivative is:

dy/dx = 6x + 5

For the function y = 100200x + 7x:

Taking the derivative term by term:

d/dx (100200x) = 100200

d/dx (7x) = 7

Therefore, the first derivative is:

dy/dx = 100200 + 7 = 100207

For the function \(y = ln(9x^4):\)

Using the chain rule, the derivative of ln(u) is du/dx divided by u:

dy/dx = (1/u) \(\times\) du/dx

Let's differentiate the function using the chain rule:

\(u = 9x^4\)

\(du/dx = d/dx (9x^4) = 36x^3\)

Now, substitute the values back into the derivative formula:

\(dy/dx = (1/u) \times du/dx = (1/(9x^4)) \times (36x^3) = 36x^3 / (9x^4) = 4/x\)

Therefore, the first derivative is:

dy/dx = 4/x

To summarize:

For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.

For y = 100200x + 7x, the first derivative is dy/dx = 100207.

For\(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.

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Answer:

false

Step-by-step explanation:

If AB = BC then set up the equation 3x - 4 = 5x - 10

Subtract 3x.

-4 = 2x - 10

Add 10.

6 = 2x

Divide by 2.

3 = x

AB is 3x - 4 so

3(3) - 4

9 - 4

5.

AB = 5

If AB is not equal to BC then this is not solvable.

But if they are I am sure AB = 5.

Hope this helps

Answer:

503

Step-by-step explanation:

10 squared is 100

so you get 5x100+3

multiply 5x100 to get 500

add 500+3 and you get 503

Answer:

5.03*10^2 in Scientific notation

503 in expanded form

The answer is Option C) 7th graders in her school.

In order to ascertain the suitability of a candidate for any popular position, his popularity can be assessed by taking a survey of the concerned sample.

Answer:

She should ask the 7th graders in  the school

Step-by-step explanation:

Because their opinion is important in electing the president.

Answer:

x = 150°

Step-by-step explanation:

The given parameters are;

AB ║ DC

∠BAE = 105°

∠AEC = 25°

We construct a line CF from C parallel to the line AE as presented in the included diagram created with Microsoft Visio

We have;

∠DCF ≅ ∠BAE = 105° by similar angles formed by two pairs of parallel lines

∠AEC = ∠ECF = 25° by alternate interior angles formed by two parallel lines and a common transversal

x = 125° + 25° = 150° By angle addition postulate

x = 150°.

Answer:

b-m= 7

Step-by-step explanation:

Let Barry's age is b and Meisha's age is m.

Barry is 7 years older than Meisha. Older means Barry's age is more than Meisha's age.

We can the equation as follows :

b = 7+m

or

Subtract m from both sides,

b-m= 7

Hence, the required equation is "b-m= 7".

Step-by-step explanation:

This is a sequence of divide by 2 or half of the number so 32 16 8 4 2 1

Answer:

900 cubic inches.

Step-by-step explanation:

Given the following data

Volume of right circular cone = 300in³

We know that the volume of a right circular cone is given by the formula;

\( V = \frac{1}{3} \pi r^{2}h\)

Where;

The volume of a right circular cylinder is given by the formula;

\( V = \pi r^{2}h\)

Thus, multiplying the volume of the right circular cone by 3 would give us the volume of the right circular cylinder.

\( V = \frac{1}{3} \pi r^{2}h * 3\)

Substituting into the equation, we have;

V = 300 * 3

V = 900in³

Therefore, the volume of a right cylinder that has the same base and height as the cone is 900 cubic inches.