Select all the fractions that are equivalent to 2.6

Sample of test statistic is 2.080 and p-value is 0.082.

From the given information,

α = 0.01;

H₀ : μ = 0

H₁ : μ ≠ 0.

Student's t,

d.f. = 6

d = 0.371

t = 2.08

0.050 < p-value < 0.100

on t graph, shade area to the left of -2.08 and to the right of 2.08.

From TI-84, p-value = 0.0823.

P-value interval > 0.01 for α; fail to reject H₀.

At the 5% level of significance, the sample data do not support the claim that the average HC for this patient is higher than 14.

The P-value means the probability, for a given statistical model that, when the null hypothesis is true, the statistical summary would be equal to or more extreme than the actual observed results.

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The specific values for [-T, 8, -E] and evaluate the gradient vector to get the final equations of the tangent plane and normal line.

To find the equation of the tangent plane to the surface 1' = 332 + 22 — 10? at the point [-T, 8, -E], we can use the gradient vector. The gradient vector is a vector that points in the direction of the steepest slope on the surface at a given point. The equation of the tangent plane can be written as:

1' = f(-T, 8, -E) + ∇f(-T, 8, -E) · (x + T, y - 8, z + E)

where f(-T, 8, -E) is the value of the surface at the point [-T, 8, -E] and ∇f(-T, 8, -E) is the gradient vector at that point.

To find the gradient vector, we need to calculate the partial derivatives of the surface function with respect to x, y, and z, and evaluate them at the given point. Once we have the gradient vector, we can substitute it into the equation of the tangent plane.

For the equation of the normal line to the surface at the point [-T, 8, -E], we can use the parametric form of a line. The parametric equation of a line can be written as:

r(t) = [-T, 8, -E] + t∇f(-T, 8, -E)

where r(t) represents the position vector of a point on the line and t is a parameter.

Remember to plug in the specific values for [-T, 8, -E] and evaluate the gradient vector to get the final equations of the tangent plane and normal line.

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a. The probability of two heads occurring, given that the first toss is a head, is 1/2.

b. The probability that both tosses are the same, given that the first toss is a tail, is 1/2.

c. The total probability of two heads occurring, given that at least one head occurs, is 1/4 + 1/4 = 1/2.

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.

(a) To calculate the probability of two heads occurring given that the first toss is a head, we only need to consider the second toss. Since the coin is fair, the probability of getting a head on the second toss is also 1/2. Therefore, the probability of two heads occurring, given that the first toss is a head, is 1/2.

(b) If the first toss is a tail, then the second toss can either be a head or a tail. Since the coin is fair, the probability of getting a head on the second toss is 1/2, and the probability of getting a tail on the second toss is also 1/2. Therefore, the probability that both tosses are the same, given that the first toss is a tail, is 1/2.

(c) To calculate the probability of two heads occurring given that at least one head occurs, we need to consider two cases: HH (both tosses are heads) and HT (the first toss is a head and the second toss is a tail).

The probability of HH occurring is 1/2 * 1/2 = 1/4, as each toss is independent and has a probability of 1/2.

The probability of HT occurring is 1/2 * 1/2 = 1/4, as the first toss is a head with a probability of 1/2, and the second toss is a tail with a probability of 1/2.

Therefore, the total probability of two heads occurring, given that at least one head occurs, is 1/4 + 1/4 = 1/2.

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Step-by-step explanation:

5x+8-x=3x+6

5x-x-3x=-8+6

4x-3x= -2

1x= -2

Therefore,LHS is not equal to RHS

Answer:

I think you have to draw a circle then draw a line that goes parralel to one tiny part of the circle. this ensures it only touches the circle at one place. make sure the line is straight too!

Step-by-step explanation:

Not sure about this question ...it seems to be worded improperly.

 IF you are looking for 5/8 as a decimal:

    5/8  is the same as   5 ÷ 8  

        using a calculator , this equals  0.625

To find the limit of cos(x)/(1-sin(x)) as x approaches (π/2)+, we can use l'Hospital's Rule.

First, we can take the derivative of both the numerator and denominator with respect to x: lim cos(x)/(1 − sin(x)) x → (π/2)+ = lim [-sin(x)/(cos(x))] / [-cos(x)] x → (π/2)+ = lim sin(x) / [cos(x) * cos(x)] x → (π/2)+

Now, plugging in (π/2)+ for x, we get: lim sin(π/2) / [cos(π/2) * cos(π/2)] x → (π/2)+ = 1 / (0 * 0) = undefined

Since the denominator approaches 0 as x approaches (π/2)+, and the numerator is bounded between -1 and 1, the limit does not exist.

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Option c) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B

According to the information given in the question,

A true proportion of 0.325 represents that the two simulations will be conducted for sampling proportions from a population

Simulation A -

Sample size - 100

Trials - 1500

Simulation B -

Sample size - 50

Trials - 2000

Now due to the relation of simulation A and simulation B, they are closely equal-

The total sample size of simulation A= 1500 x 100

= 150000

The total sample size of simulation B = 2000 x 50

= 100000

From the above calculations of simulations A and B, we can see that while comparing the,

Sample Size = Simulation A > Simulation B

Variability = Simulation B < Simulation B

Therefore, option c) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B is correct.

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In a recent survey, the proportion of adults who indicated mystery as their favorite type of book was 0.325. Two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0.325. Simulation A will consist of 1,500 trials with a sample size of 100. Simulation B will consist of 2,000 trials with a sample size of 50. Which of the following describes the center and variability of simulation A and simulation B?

A) The centers will roughly be equal, and the variabilities will roughly be equal.

B) The centers will roughly be equal, and the variability of simulation A will be greater than the variability of simulation B.

C) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B.

D) The center of simulation A will be greater than the center of simulation B, and the variability of simulation A will roughly be equal to the variability of simulation B.

E) The center of simulation A will be less than the center of simulation B, and the variability of simulation A will be greater than the variability of simulation B.

Answer:

Step-by-step explanation:

\(\frac{x}{7}=\frac{1}{\sqrt{3}}\\ \\ x=\frac{7}{\sqrt{3}}\\ \\ x=\frac{7\sqrt{3}}{3}\)

The standard deviation of the shoe size data for the math class is 1.5. Standard deviation is a measure of how spread out the data is, and it is calculated by taking the square root of the variance.

Calculate the difference between each shoe size and the mean (7.5)

if the shoe sizes in the class are 6, 7, 8, 9, 10

The differences from the mean are (-1.5), (-0.5), 0.5, 1.5, 2.5

Square each difference

(-1.5)² = 2.25

(-0.5)² = 0.25

0.5² = 0.25

1.5² = 2.25

2.5² = 6.25

Add up all the squared differences

2.25 + 0.25 + 0.25 + 2.25 + 6.25 = 11.25

Divide the sum of squared differences by the number of shoe sizes (n):

11.25 / 5 = 2.25

Take the square root of the result to get the standard deviation

√(2.25) = 1.5

Therefore, the standard deviation of the shoe size data for the math class is 1.5.

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The passing grade is 60%, Shalyn's overall Grade of 81.33 is higher than the passing grade, so she will move on to Geometry.

The overall grade for Roland and Shalyn, the weights assigned to each marking period and the final exam. Additionally, the passing grade required to move on to the next class. the grades but not the weightings or passing grades equal weighting for all components and a passing grade of 60% for both classes.

1. Roland's overall grade:

Since the weightings are not specified, we'll assume equal weighting for each component. We'll calculate the average of the three grades.

(77 + 64 + 53) / 3 = 194 / 3 ≈ 64.67

Roland's overall grade is approximately 64.67. However, to determine if he will move on to Algebra 1B, we need to compare his grade to the passing grade requirement. Assuming the passing grade is 60%, Roland's overall grade of 64.67 is higher than the passing grade, so he will move on to Algebra 1B.

2. Shalyn's overall grade:

Again, assuming equal weighting, we'll calculate the average of the three grades.

(92 + 75 + 77) / 3 = 244 / 3 ≈ 81.33

the passing grade is 60%, Shalyn's overall grade of 81.33 is higher than the passing grade, so she will move on to Geometry.

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Answer:

14 smoothies

Step-by-step explanation:

trust me

Answer:

x = -6

Explanation:

The slope of the line represented by 4x-7y=62 is 4/7. A line's steepness is measured by its slope. The mathematical expression for slope is "rise over run."

Option A is correct.

In mathematics, a line's slope is the ratio of the change in the y coordinate to the change in the x coordinate. The net change in the y-coordinate and the net change in the x-coordinate, respectively, are denoted by the symbols delta y and delta x.

          We are given equation as 4x-7y=62

First, let's write it in the slope-intercept form .In general, slope-intercept form is                                    y=mx + b

where m is the slope

So, writing the equation in the form, we get

                                    ⇒-7y = 62-4x

                                        ⇒7y = 4x-62

                                          ⇒y = 4x/7-62/7

Now, matching the equation with the general form,

                                          m = 4/7

Hence, the slope of the line represented by 4x-7y=62 is 4/7.

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By knowing how to use positive numbers and negative numbers, we will see that the answers are:

By standard notation, if May wins money, then we represent this with a positive number.

While if she pays or has a debt, we represent the change with a negative number (because now she has less money than before).

A) She receives $25, so the change is:

C = $25

B) She earns $14, so the change is:

C = $14

C) She spends $10, so now she has $10 less than before, the change is:

C = -$10

D) She donated $3, so the change is:

C = -$3

E) She gots $2, then the change is:

C = $2.

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The functions for the velocity and displacement of the vehicle moving with uniform acceleration

a=2ms^(-2) are: v(t) = v(0) + at  s(t) = s(0) + v(0)t + 1/2at^2 where v(0) and s(0) are the initial velocity and displacement, respectively. Using v(0) = 10ms^(-1) and a = 2ms^(-2), we have: v(t) = 10 + 2t Using s(0) = 5m, v(0) = 10ms^(-1), and a = 2ms^(-2), we have: s(t) = 5 + 10t + t^2

To calculate the values of v and s for t=2s and t=5s, we substitute these values in the equations for v(t) and s(t): v(2) = 10 + 2(2) = 14ms^(-1)

s(2) = 5 + 10(2) + (2)^2 = 29m

v(5) = 10 + 2(5) = 20ms^(-1)

s(5) = 5 + 10(5) + (5)^2 = 80m

Therefore, the velocity of the vehicle at t=2s is 14ms^(-1) and at t=5s is 20ms^(-1), while the displacement of the vehicle at t=2s is 29m and at t=5s is 80m.

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Step-by-step explanation: To divide mixed numbers, first rewrite the mixed numbers as improper fractions.

So here, 3/5 is already a fraction and 2 and 1/2 can be written as 5/2.

Remember that dividing by a fractions means the same thing

as multiplying by the reciprocal of that fraction.

In other words, 3/5 ÷ 5/2 can be rewritten as 3/5 · 2/5.

Finally, multiplying across the numerators and the

denominators, we have 6/25.

The result of the division of 3/5 divided by 2 1/2 is: 6/25.

Here, we have,

given that,

3/5 divided by 2 1/2

To divide mixed numbers, first rewrite the mixed numbers as improper fractions.

So here, 3/5 is already a fraction and 2 and 1/2 can be written as 5/2.

Remember that dividing by a fractions means the same thing

as multiplying by the reciprocal of that fraction.

In other words, 3/5 ÷ 5/2 can be rewritten as 3/5 · 2/5.

Finally, multiplying across the numerators and the

denominators,

we have 6/25.

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Answer:

Step-by-step explanation:

This is a linear relationship:

Rate per hour is the slope, service fee is the y-intercept:

The equation is:

The amount of charge per 5.5 hour job:

Answer:

The answer is 16/3.

Step-by-step explanation:

Answer: 16/3

Step-by-step explanation:

Answer:

The formula for the area of a circle is:

A = πr^2

where A is the area and r is the radius.

In this case, we are given that the area is 4π cm². Solving for the radius, we get:

4π = πr^2

r^2 = 4

r = 2

So the radius of the circle is 2 cm.

The formula for the circumference of a circle is:

C = 2πr

Plugging in the value for the radius, we get:

C = 2π(2) = 4π

Therefore, the circumference of the circle is 4π cm.

Answer:

20 por ciento de probabilidad de que elijas una de esas cartas

Step-by-step explanation:

20 por ciento de probabilidad de que elijas una de esas cartas

Answer:

12/52

Step-by-step explanation: each have four, times three is twelve out of 52 cards :)

The cοοrdinates οf the mid pοint M οf the line segment AB are ( 3,1 ) .

A midpοint οf a line segment is the pοint οn a segment that bisects the segment intο twο cοngruent segments. In οther wοrds, The midpοint is halfway between the twο end pοints.

Fοr the given line segment AB with cοοrdinates as (2, -3) and (4, 5) οf A and B respectively.

x₁ = 2           y₁ = -3                  (Cοοrdinates οf A)

x₂ = 4          y₂ = 5                   (Cοοrdinates οf B)

Midpοint οf a line segment = [ (x₁ + x₂ ) / 2   ;    (y₁ +  y₂) /2  ]

= [  (2 +4) /2  ;    (-3 + 5) / 2  ]

= [ 6/2  ;   2/2 ]

= (3,1)

=> Thus, the cοοrdinates οf M are (3,1).

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Answer:

(y+1)(y+5)

Step-by-step explanation:

The material for the box costs $0.60 per square foot the total cost to build the box will be $16.20.

To determine the height of the rectangular wooden box:

Volume of a rectangular box:

Volume (V) = length (l) * width (w) * height (h)

Given:

Length (l) = 2 feet

Width (w) = 3 feet

Volume (V) = 9 cubic feet

Substituting the given values into the formula, we get:

9 = 2 * 3 * h

9 = 6h

h = 9/6

h = 1.5 feet

Therefore, the box should be 1.5 feet tall to hold 9 cubic feet of material.

To calculate the cost of building the box:

Total surface area of the box (including the base and all sides) and then multiply it by the cost per square foot.

The surface area of the rectangular box is given by:

Surface Area = 2lw + 2lh + 2wh

Surface Area = 2(2*3) + 2(2*1.5) + 2(3*1.5)

= 12 + 6 + 9

= 27 square feet

The cost of material is $0.60 per square foot. Therefore, the cost to build the box is:

Cost = Surface Area * Cost per square foot

= 27 * $0.60

= $16.20

Therefore, it will cost $16.20 to build the box.

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Answer:

4 lol

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Which value for x makes the sentence true?

6x = 5x + 4

6x - 5x = 4

x = 4

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

6 × 4 = 5 × 4 + 4

24 = 20 + 4

24 = 24

the answer is good

Answer:

distance: 7.81 miles

Explanation:

simply use distance formula:  \(\sf \sqrt{(y_2 -y_1)^2 + (x_2-x_1)^2}\)

using the equation:

\(\hookrightarrow \sf \sqrt{(8-3)^2+(10-4)^2}\)

\(\hookrightarrow \sf \sqrt{(5)^2+(6)^2}\)

\(\hookrightarrow \sf \sqrt{25+36}\)

\(\hookrightarrow \sf \sqrt{61}\)

\(\hookrightarrow \sf 7.81 \ miles\)

The location of point b on the number line is 8.25.

To find the location of point b on the number line, we need to determine the value that satisfies the ratio of ab:bc being 3:1.

Let's assume that the location of point b is represented by the variable x.

Given that the ratio of ab:bc is 3:1, we can set up the following equation:

ab/bc = 3/1

To find the length of ab and bc, we subtract the respective coordinates:

ab = x - 6

bc = 9 - x

Now we can substitute these values into the equation:

(x - 6)/(9 - x) = 3/1

To solve this equation, we can cross-multiply:

1 * (x - 6) = 3 * (9 - x)

Simplifying the equation:

x - 6 = 27 - 3x

Combine like terms:

4x = 33

Divide both sides by 4:

x = 33/4 = 8.25

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49.2 calories are in  would that contribute per serving .

What does a calorie mean ?

Carbohydrates provide 4 calories per gram.

              1 gm Carbohydrates = 4 calories

 then 12.3 gm Carbohydrates  = 12.3 * 4

                                             = 49.2 calories

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