Find the critical value t Subscript c for the confidence level c=0.98 and sample size n=24

Based on the given information, you are likely looking for the equation of a straight line in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.

Given m = -1/13 and b = -8, the equation of the line is:

y = (-1/13)x - 8

Answer:

7ft

Step-by-step explanation:

need more information to the question

The difference in overall gain is $299.30.

For Stock A:

Purchase price: $90 per share

Number of shares: 120

Total purchase cost: 120 * $90 = $10,800

Selling at high price: $105.19

Selling at low price: $103.25

High price sale proceeds: 120 * $105.19 = $12,622.80

Low price sale proceeds: 120 * $103.25 = $12,390

Profit/loss at high price: $12,622.80 - $10,800 = $1,822.80

Profit/loss at low price: $12,390 - $10,800 = $1,590

Difference for Stock A: $1,822.80 - $1,590 = $232.80

For Stock B:

Purchase price: $145 per share

Number of shares: 35

Total purchase cost: 35 * $145 = $5,075

Selling at high price: $145.18

Selling at low price: $143.28

High price sale proceeds: 35 * $145.18 = $5,081.30

Low price sale proceeds: 35 * $143.28 = $5,014.80

Profit/loss at high price: $5,081.30 - $5,075 = $6.30

Profit/loss at low price: $5,014.80 - $5,075 = -$60.20

Difference for Stock B: $6.30 - (-$60.20) = $66.50

total difference in overall gain between selling at the current day's high price or low price:

Difference for Stock A + Difference for Stock B = $232.80 + $66.50 = $299.30

So, the correct statement is:

The difference in overall gain is $299.30.

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The probability that a randomly selected set of 3 will include 1 A and 2 Bs is 0.3 or 30%.

To find the probability that a randomly selected set of 3 will include 1 a and 2 bs, we first need to determine the total number of possible sets of 3 that can be selected from the sample space.

Since the sample space contains 6 as and 4 bs, the total number of possible sets of 3 that can be selected is:

10C3 = (10!)/(3!*(10-3)!) = 120

This means there are 120 different ways to select a set of 3 from the sample space.

Next, we need to determine the number of sets of 3 that include 1 a and 2 bs. To do this, we can use the combination formula:

6C1 * 4C2 = (6!)/(1!*(6-1)!) * (4!)/(2!*(4-2)!) = 6*6 = 36

This means there are 36 different sets of 3 that include 1 a and 2 bs.

Finally, we can calculate the probability of selecting a set of 3 that includes 1 a and 2 bs by dividing the number of sets that meet this condition by the total number of possible sets:

36/120 = 3/10

Therefore, the probability that a randomly selected set of 3 will include 1 a and 2 bs is 3/10.

Given that the sample space contains 6 As and 4 Bs, let's find the probability that a randomly selected set of 3 will include 1 A and 2 Bs.

1. First, calculate the total number of ways to choose 3 elements from a set of 10 (6 As and 4 Bs). We use the combination formula:

C(n, r) = n! / (r!(n-r)!)
C(10, 3) = 10! / (3!(10-3)!) = 10! / (3!7!) = 120

2. Next, find the number of ways to choose 1 A from the 6 As and 2 Bs from the 4 Bs:

C(6, 1) = 6! / (1!(6-1)!) = 6! / (1!5!) = 6
C(4, 2) = 4! / (2!(4-2)!) = 4! / (2!2!) = 6

3. Multiply the number of ways to choose 1 A and 2 Bs:

Number of favorable outcomes = C(6, 1) × C(4, 2) = 6 × 6 = 36

4. Finally, calculate the probability:

Probability = Number of favorable outcomes / Total number of outcomes = 36 / 120 = 3/10 or 0.3

So, the probability that a randomly selected set of 3 will include 1 A and 2 Bs is 0.3 or 30%.

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Answer:

[tex] \frac{6 {x}^{2} - 12x - 48 }{3 {x}^{2} - 12x - 36 } = \frac{6( {x}^{2} - 2x - 8)}{3( {x}^{2} - 4x - 12)} = \frac{6(x + 2)(x - 4)}{3(x + 2)(x - 6)} = \frac{2(x - 4)}{x - 6} = \frac{2x - 8 }{x - 6} [/tex]

well, since we know the diameter, half-way of it, is where the center is, and half that distance from endpoint to endpoint is its radius

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-2}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{1}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 4 -2}{2}~~~ ,~~~ \cfrac{ 1 +5}{2} \right) \implies \left(\cfrac{ 2 }{2}~~~ ,~~~ \cfrac{ 6 }{2} \right)\implies \stackrel{ center }{(1~~,~~3)} \\\\[-0.35em] ~\dotfill[/tex]

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-2}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(~~4 - (-2)~~)^2 + (~~1 - 5~~)^2} \implies d=\sqrt{(4 +2)^2 + (1 -5)^2} \\\\\\ d=\sqrt{( 6 )^2 + ( -4 )^2} \implies d=\sqrt{ 36 + 16 } \implies d=\sqrt{ 52 } \\\\[-0.35em] ~\dotfill\\[/tex]

[tex]\stackrel{\textit{half of that diameter is its radius}}{r=\cfrac{\sqrt{52}}{2}\implies r^2=\cfrac{52}{4}}\implies r^2=13 \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \hspace{5em}\stackrel{center}{(\underset{1}{h}~~,~~\underset{3}{k})}\qquad \stackrel{radius}{\underset{\frac{\sqrt{52}}{2}}{r}} \\\\[-0.35em] ~\dotfill\\\\ ( ~~ x - 1 ~~ )^2 ~~ + ~~ ( ~~ y-3 ~~ )^2~~ = ~~\left( \frac{\sqrt{52}}{2} \right)^2\implies \boxed{(x-1)^2 + (y-3)^2=13} \\\\\\ (x^2-2x+1)+(y^2-6y+9)=13\implies \boxed{x^2+y^2-2x-6y=3}[/tex]

a) The two plans will cost the same for 250 minutes of call

b) The cost when the two plans cost the same is $40.50

From the question, we are to determine when the two plans will cost the same

From the given information,

Plan A costs $23 plus an additional $0.07 for each minute of calls.

Plan B costs $18 plus an additional $0.09 for each minute of calls.

Let x represent minute of calls.

Then,

We can write that

Plan A:

Cost = $23 + $0.07x

Plan B:

Cost = $18 + $0.09x

To determine the amount of calling when the two plans will cost the same, we will equate the equations and then determine the value of x

23 + 0.07x = 18 + 0.09x

23 - 18 = 0.09x - 0.07x

5 = 0.02x

Divide both sides by 0.02

5/0.02 = x

250 = x

Therefore,

x = 250 minutes

The two plans will cost the same for 250 minutes of call

b)

To determine the cost when the two plans cost the same, we will substitute the value of x into any of the equations

Substitute x = 250 into Cost = $23 + $0.07x

Cost = $23 + $0.07(250)

Cost = $23 + $17.50

Cost = $40.50

Hence,

The cost is $40.50

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The value of x in the expression is x = - 14

Remember that an algebraic expression is an equation that contains one or more variables.  It is built up from constant algebraic numbers, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number)

The given equation is

-1/2 x + 6 = 4x - 3

Collecting the like terms to have

- 1/2 x - 4x = -3 -6

(2x - 8)/ 4 = - 9

Cross and  multiply to have

2x -8 = -36

2x = -36 +8

2x = -28

Making x the subject of the relation we have

x = -28/2

Therefore the value of x = - 14

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Answer:

r=4

Step-by-step explanation:

r=19-5p

r=19-5(3)

r=19-15

r=4

Yes, two numbers could have 16 as their HCF and 380 as their LCM.

Right here's how you could find those two numbers:

Step 1: prime Factorization

Write the high factorization of the LCM, 380, because the manufactured from its prime elements:

[tex]380 = 2^2 * 5 * 19[/tex]

Step 2: HCF Calculation

The HCF of numbers is the highest common element that divides each numbers evenly. since the HCF of the 2 numbers is 16, every of the two numbers have to be divisible by means of 16.

Step 3: number Formation

permit the two numbers be 16a and 16b, in which a and b are co-top (meaning they haven't any common elements aside from 1).

Step 4: LCM Calculation

The LCM of numbers is the smallest variety this is divisible by way of each numbers. because the LCM of the two numbers is 380, we will write:

LCM(16a, 16b) =[tex]2^2 * 5 * 19[/tex]

To find the values of a and b, we need to discover the smallest viable values of a and b such that their product is identical to 19. considering the fact that a and b are co-top, a × b can most effective be 19 or 1.

Case 1: a × b = 1

If a × b = 1, then a = 1 and b = 1, which means that that the 2 numbers are 16 and 16. but, 16 isn't divisible by using 19, so this case is not valid.

Case 2: a × b = 19

If a × b = 19, then the two numbers are 16 × 1 and 16 × 19, which can be 16 and 304, respectively.

Step 5: Verification

We will verify that the two numbers, 16 and 304, have 16 as their HCF and 380 as their LCM as follows:

HCF(16, 304) = 16 (seeing that 16 is the largest common factor of 16 and 304)

LCM(16, 304) = 3040/sixteen = 380 (due to the fact 3040 is the smallest multiple of 16 and 304)

Consequently, the 2 numbers with 16 as their HCF and 380 as their LCM are 16 and 304.

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The journal entry to record indirect labor consists of A. Debit Factory Overhead $ 5, 700, credit Factory Wages Payable $ 5, 700.

Indirect labor charges, like those for factory supervisors or maintenance crew, cannot be exclusively attributed to a given product or job.

Instead, they are typically allotted to all jobs depending on predetermined rates/bases in job order costing, by debiting a Factory Overhead account and crediting an accounting option such as Factory Wages Payable or Accrued Wages Payable.

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The area of the painted face of the brick is 104 square inches units

The vertices of the face are (−4, 2), (−4, −11), (4, 2), and (4, −11)

The distance between the coordinates are

√[(-4 + 4)^2 + (2 + 11)^2] = 13

√[(-4 - 4)^2 + (-11 + 11)^2] = 8

So, we have

Area = 13 * 8

Area = 104

Hence, the area is 104 square inches units

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Answer: The answer is C

Step-by-step explanation:

When evaluating a square root, you should acknowledge both the positive and negative roots. Hence, the given statement is false.

The square of a number is the value that is obtained when we multiply the number by itself, while the square root of a number is obtained by finding a number that when squared gives the original number.

When evaluating a square root, you should acknowledge both the positive and negative roots.

Example: √8

= √(4×2)

= ±2√2

Hence, the given statement is false.

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In terms of deviation from the average salary, David is doing better in his company than Andrew is in his. However, it's important to note that there may be other factors that impact their overall job performance and success within their respective companies.

To determine who is doing better in comparison to their coworkers, we need to calculate the z-scores for both Andrew and David. The z-score measures the number of standard deviations a data point (in this case, their salaries) is away from the mean (average salary). The formula for the z-score is:

z = (X - μ) / σ

where X is the individual's salary, μ is the average salary, and σ is the standard deviation.

For Andrew:
X = $45,000 EC
μ = $41,000 EC
σ = $7,000 EC

z = ($45,000 - $41,000) / $7,000
z = $4,000 / $7,000
z = 0.5714

For David:
X = $38,000 EC
μ = $35,000 EC
σ = $1,700 EC

z = ($38,000 - $35,000) / $1,700
z = $3,000 / $1,700
z = 1.7647

Comparing these deviations, we can see that David is doing better in comparison to his coworkers than Andrew is. David's deviation is larger than Andrew's, which means that his salary is further above the average salary in his company than Andrew's is in his.

A higher z-score indicates a better position compared to coworkers. In this case, David has a higher z-score (1.7647) compared to Andrew (0.5714), meaning that David is doing better in comparison to their coworkers.

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Answer:

112

Step-by-step explanation:

use the formula BASE×PERPENDICULAR HEIGHT

14×8= 112

A field variant changes value with space or time transformation while an invariant field remains the same.

Field variant and invariant are terms used in mathematics and physics to describe how certain quantities or properties change or remain constant within a specific context.

A field variant is a quantity or property that changes when the system's parameters, such as location or time, are altered. For example, the temperature in a room may vary from one point to another, so it would be considered a field variant. In physics, electric and magnetic fields are often considered field variants, as their strength and direction can change depending on the observer's position.

On the other hand, a field invariant is a quantity or property that remains constant regardless of the system's parameters. In mathematics, a scalar quantity is often invariant, such as the length of a vector or the magnitude of a force. In physics, an example of a field invariant is the speed of light in a vacuum, which remains constant at approximately 299,792 kilometers per second, irrespective of the observer's position or motion.

In summary, field variants are properties that change with respect to a specific context, while field invariants remain constant. Understanding these concepts is essential for solving problems in mathematics, physics, and various scientific fields.

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The vector 2v is ⟨-10, -6⟩ when the vector v is ⟨-5, -3⟩ we get by multiplying

To find 2v, we simply need to multiply each component of the vector v by 2:

2v = 2⟨-5, -3⟩

Multiply 2 with the vector v

= ⟨2(-5), 2(-3)⟩

= ⟨-10, -6⟩

Therefore, the vector 2v is ⟨-10, -6⟩ when the vector v is ⟨-5, -3⟩

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X is used as a Place holder for the value(s) in math. Oh and angle BAG should be around 135!

For f(x) = 4/(1+x), a = 2, the Taylor series is given by:

f(x) = f(a) + f'(a)(x-a) + (f''(a)/2!)(x-a)^2 + (f'''(a)/3!)(x-a)^3 + ...

We first need to find the derivatives of f(x):

f(x) = 4/(1+x)
f'(x) = -4/(1+x)^2
f''(x) = 8/(1+x)^3
f'''(x) = -48/(1+x)^4
f''''(x) = 384/(1+x)^5

Now, we can evaluate the Taylor series at x = 2:

f(2) = 4/(1+2) = 4/3
f'(2) = -4/(1+2)^2 = -4/9
f''(2) = 8/(1+2)^3 = 8/27
f'''(2) = -48/(1+2)^4 = -16/81

Substituting these values into the Taylor series, we get:

f(x) = 4/3 - 4/9(x-2) + 8/27(x-2)^2 - 16/81(x-2)^3 + ...

Therefore, the first four nonzero terms of the Taylor series for f(x) centered at a = 2 are:

4/3, -4/9(x-2), 8/27(x-2)^2, -16/81(x-2)^3

For f(x) = 3xe^x, a = 0, the Taylor series is given by:

f(x) = f(a) + f'(a)x + (f''(a)/2!)x^2 + (f'''(a)/3!)x^3 + ...

We first need to find the derivatives of f(x):

f(x) = 3xe^x
f'(x) = 3e^x + 3xe^x
f''(x) = 6e^x + 3xe^x
f'''(x) = 9e^x + 3xe^x
f''''(x) = 12e^x + 3xe^x

Now, we can evaluate the Taylor series at a = 0:

f(0) = 0
f'(0) = 3
f''(0) = 6
f'''(0) = 9

Substituting these values into the Taylor series, we get:

f(x) = 3x + 3x^2 + 3x^3 + 9/2x^4 + ...

Therefore, the first four nonzero terms of the Taylor series for f(x) centered at a = 0 are:

3x, 3x^2, 3x^3, 9/2x^4

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Answer:

Rudy's house is approximately 2.8 miles away from Javier's house.

Step-by-step explanation:

We can use the Pythagorean theorem to solve this problem. Let x be the distance from Rudy's house to Javier's house. Then, we can set up the following equations based on the given information:

x^2 + 1^2 = 3^2 (using the distance between Javier's and Steve's houses)

x^2 = 9 - 1

x^2 = 8

x ≈ 2.8

Therefore, Rudy's house is approximately 2.8 miles away from Javier's house.

Answer:

Step-by-step explanation:

Here are the match-ups:

Han:  x+2<20

Mai: x-2<20

Tyler: 2x<20

Priya: 1/2<20

The awnesr is

= 120

10(8+4)

Answer:

99

Step-by-step explanation:

cuz its correct

Part 3 of 3 (c) Interpret the 90% confidence interval in context.

The 90% confidence interval for the proportion of those aged 65 and over who have sleep apnea is 0.244.

This means that we are 90% confident that the true proportion of people aged 65 and over who have sleep apnea falls between 0.244 and some upper limit (which is not given in the question).

Therefore, we can conclude that the prevalence of sleep apnea among this population is fairly high, with almost a third of individuals experiencing this condition.

However, there is still some uncertainty in our estimate, as the true proportion could be slightly lower or higher than the point estimate and confidence interval we have calculated.

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To test the claim that men have a higher rate of red/green color blindness. If p_ m > p_ w, the claim is supported, indicating that the proportion of men with color blindness is larger.

To test the claim that men have a higher rate of red/green color blindness, we need to compare the proportions of color blindness in men and women. Let p-m be the proportion of men with red/green color blindness and p-w be the proportion of women with red/green color blindness.

We can set up the null hypothesis as H0: p-m = p-w, meaning there is no difference in the proportions of color blindness between men and women. The alternative hypothesis is Ha: p-m > p-w, meaning the proportion of men with color blindness is larger.

To test this claim, we can use a two-sample proportion z-test. The formula for the test statistic is:

z = (p-m - p-w) / sqrt(p-hat * (1 - p-hat) * (1/n-m + 1/n-w))

where p-hat is the pooled sample proportion:

p-hat = (x-m + x-w) / (n-m + n-w)

In this case, x-m = 72, x-w = 6, n-m = 800, and n-w = 2100. Plugging in the values, we get:

p-hat = (72 + 6) / (800 + 2100) = 0.024

z = (0.09 - 0.002) / sqrt(0.024 * 0.976 * (1/800 + 1/2100)) = 3.09

Using a significance level of 0.05, the critical z-value for a one-tailed test is 1.645. Since our calculated z-value of 3.09 is greater than the critical value, we can reject the null hypothesis and conclude that there is evidence to support the claim that men have a higher rate of red/green color blindness than women.
In the study of red/green color blindness, 800 men and 2100 women were randomly selected and tested. Among the men, 72 have red/green color blindness, and among the women, 6 have red/green color blindness. To test the claim that men have a higher rate of red/green color blindness, compare the proportions: p_ m (proportion of men with color blindness) and p_ w (proportion of women with color blindness). If p_ m > p_ w, the claim is supported, indicating that the proportion of men with color blindness is larger.

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Answer:

1 meter

Step-by-step explanation:

Circumference of circle = 2 · r · π

Circumference = 2π

Let's solve

2π = 2 · r · π

2 = 2 · r

r = 1 meter

So, the radius is 1 meter

False.

the given augmented matrix is in reduced row echelon form.

The augmented matrix is said to be in reduced row echelon form (RREF) if it satisfies the following conditions:

1. The first nonzero element in each row (called the "pivot") is 1.
2. The pivot in each row is to the right of the pivot in the previous row.
3. All entries above and below each pivot are zero.

In the given augmented matrix, the first row is (1,1,0) and the second row is (0,1,0). Since the first nonzero element (the pivot) in the first row is 1, and the pivot in the second row is to the right of the pivot in the first row, the matrix satisfies conditions (1) and (2) for being in RREF.

Also, since the entry below the pivot in the first row is 0, and all entries in the third column are 0, the matrix satisfies condition (3).

Therefore, the given augmented matrix is in reduced row echelon form.

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Answer: El precio unitario de las palomitas es de $60 y el precio unitario del refresco es de $70.

Primero, podemos descomponer el costo total de la primera visita al cine en el costo de las palomitas y el costo de los refrescos:

- 5 palomitas + 7 refrescos = $630

- Palomitas = $x, Refrescos = $y

- 5x + 7y = 630

Luego, podemos descomponer el costo total de la segunda visita al cine en el costo de las palomitas y el costo de los refrescos:

- 8 palomitas + 11 refrescos = $1000

- Palomitas = $x, Refrescos = $y

- 8x + 11y = 1000

Ahora podemos resolver este sistema de ecuaciones para encontrar el precio unitario de las palomitas y del refresco. Primero, despejamos y de la primera ecuación:

- 5x + 7y = 630

- 5x = 630 - 7y

- x = (630 - 7y) / 5

Luego, sustituimos esta expresión para x en la segunda ecuación:

- 8x + 11y = 1000

- 8[(630 - 7y) / 5] + 11y = 1000

- 504 - 45.6y + 11y = 1000

- 65.4y = 496

- y = 7.58

Finalmente, podemos sustituir este valor para y en la primera ecuación para encontrar el valor de x:

- 5x + 7(7.58) = 630

- 5x = 578.86

- x = 115.77

Por lo tanto, el precio unitario de las palomitas es de $60 y el precio unitario del refresco es de $70.

Step-by-step explanation:

So the probability that a randomly selected resident from the land of Oz is a member of the lollipop guild and has a home in emerald city is 0.15.

Since lollipop guild membership is independent of having a home in emerald city, we can find the probability of both events occurring by multiplying their individual probabilities:

P(lollipop guild and emerald city) = P(lollipop guild) * P(emerald city)

P(lollipop guild) = 0.20 (given)

P(emerald city) = 0.75 (given)

Therefore,

P(lollipop guild and emerald city) = 0.20 * 0.75

= 0.15

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The unit of measurement that Mia should use for the surface area of the prism is B. in ².

Determining the surface area of an object requires calculating the total measure of its covered space. This figure is quantified in square units, as it consists of deriving two-dimensional lengths and widths from its surfaces, which are then multiplied to arrive at the entire area.

As dimensions only concern a flat outline, it follows that all recorded measurements will take on some form of squared units like m² or in² - invariably pegged to the realm of two-dimensionality.

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