Please help with question C

If John is running a study on whether a particular SAT training class is effective, the students take the SAT before and after taking the class and the 95% confidence interval for the difference in scores (after - before) is [5, 15], then the statement which is NOT true is 'The training class caused a big improvement in the student's SAT scores.' The answer is option d.

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Given that the indefinite integral is ∫(2+1/z) dx.We have to solve the integral and find the solution to it. It can be written as ∫(2+1/z) dx= 2x + ln z + C. Hence, the correct option is (A) 2x+In(x)+C.

We know that the formula to solve indefinite integrals is ∫(f(x)+g(x))dx = ∫f(x)dx + ∫g(x)dx.Here, we can see that there are two terms, 2 and 1/z, hence we can split the integral into two parts.  So, the integral can be written as:∫(2+1/z) dx = ∫2 dx + ∫1/z dxNow, integrating each part, we get:∫2 dx = 2x∫1/z dx = ln|z| + CSo, the solution of the integral is:∫(2+1/z) dx= 2x + ln z + C

The general indefinite integral of ∫(2+1/z) dx is 2x + ln z + C. Hence, the correct option is (A) 2x+In(x)+C.

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Answer:

3/5

Step-by-step explanation:

Let x be the numerator

Let y be the denominator

1st equation:

(x-1) / (y-1) = 1/2

By simplifying the equation, 2(x-1) = y-1

y = 2(x-1) + 1

2nd equation:

(x+1) / (y+1) = 2/3

By simplifying the equation, 3(x+1) = 2(y+1)

3x + 3 = 2y + 2

2y = 3x + 1

y = (3x + 1) / 2

Substituting the value of y from the 1st equation to the 2nd equation:

1st equation: y = 2(x-1) + 1

2nd equation: y = (3x + 1) / 2

2(x-1) + 1 = (3x+1) / 2

x = 3

After finding the value of x, let's find y using the 2nd equation:

y = (3x + 1) / 2

y = [(3)(3) + 1] / 2

y = 5

Alternatively, we may also find the value of x using the first equation, and the result is still the same:

y = 2(x-1) + 1

y = 2(3-1) + 1

y = 5

CHECKING TIME!!!

Substituting the values of x and y:

Let x be the numerator, x = 3

Let y be the denominator, y = 5

1st equation: (x-1) / (y-1) = 1/2

(3-1) / (5-1) = 1/2

2/4 = 1/2

By simplification, 1/2 = 1/2

2nd equation:

(x+1) / (y+1) = 2/3

(3+1) / (5+1) = 2/3

4/6 = 2/3

By simplification, 2/3 = 2/3

The value of the function f (6) will be 32.

What is substitution method?

Find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The value of the function;

f (1) = 1

And, The function is;

f (n) = 2 f (n - 1)

Now, Find the value of the function f (6) as;

Since, The function is;

f (n) = 2 f (n - 1)

Substitute n = 2, we get;

f (n) = 2 f (n - 1)

f (2) = 2 f (2 - 1)

f (2) = 2 f (1)

f (2) = 2 x 1

f (2) = 2

And, Substitute n = 3, we get;

f (n) = 2 f (n - 1)

f (3) = 2 f (3 - 1)

f (3) = 2 f (2)

f (3) = 2 x 2

f (3) = 4

And, Substitute n = 4, we get;

f (n) = 2 f (n - 1)

f (4) = 2 f (4 - 1)

f (4) = 2 f (3)

f (4) = 2 x 4

f (4) = 8

And, Substitute n = 5, we get;

f (n) = 2 f (n - 1)

f (5) = 2 f (5 - 1)

f (5) = 2 f (4)

f (5) = 2 x 8

f (5) = 16

And, Substitute n = 6, we get;

f (n) = 2 f (n - 1)

f (6) = 2 f (6 - 1)

f (6) = 2 f (5)

f (6) = 2 x 16

f (6) = 32

Thus, The value of the function f (6) will be 32.

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Step-by-step explanation:

1 day = $ 26.95

3 days = 26.95 × 3

= $80.85

Remainder = $100 - $80.85

= $19.15

1 mile = $ 0.27

= $19.15 ÷ $0.27

= 71 miles

Answer:

70 miles

Step-by-step explanation:

26.95×3= 80.85

100-80.85= 19.15

0.27×70= 18.90

19.15-18.90= 0.25

He should have O.25 cents left

The missing length in the triangle is 56 cm.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Let us form a proportional equation to find the value of missing length

p/21 = 24/9

Apply cross multiplication

9p=21×24

9p=504

Divide both sides by 9

p=56

Hence, the missing length in the triangle is 56 cm.

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The probability of the selected coin showing heads is 0.77, or 77%.

Probability is the measure of the likelihood of an event occurring. In this scenario, we have three coins in a box, each with different properties.

To calculate the probability of an event occurring, we need to divide the number of favorable outcomes by the total number of possible outcomes. In this case, there are three possible coins we could select, each with a different probability of showing heads.

Now, we need to determine the total number of possible outcomes, which is simply the number of coins we have, which is three.

Next, we need to determine the number of favorable outcomes. For Coin 1, the probability of showing heads is 1 (since it has two heads). For Coin 2, the probability of showing heads is 0.5 (since it is a fair coin with equal probability of heads and tails). For Coin 3, the probability of showing heads is 0.8.

To calculate the probability of showing heads when we randomly select one of these coins, we need to weigh the probabilities of each coin being selected with their corresponding probabilities of showing heads.

Let's say that the probability of selecting each coin is equal (since we have no information to suggest otherwise). Then, the probability of selecting Coin 1 is 1/3, the probability of selecting Coin 2 is 1/3, and the probability of selecting Coin 3 is 1/3.

To calculate the overall probability of showing heads, we can use the following formula:

P(heads) = (P(Coin 1) * P(heads on Coin 1)) + (P(Coin 2) * P(heads on Coin 2)) + (P(Coin 3) * P(heads on Coin 3))

= (1/3 * 1) + (1/3 * 0.5) + (1/3 * 0.8)

= 0.77

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Answer:

x<5

Step-by-step explanation:

Answer:

D, the lower right answer

Step-by-step explanation:

-9.8 > -11.3 is a true statement

and -9.8 is located to the right is -11.3 is a true statement

Answer:

B. Scalene

D. Obtuse

Step-by-step explanation:

B. Scalene: By definition, a scalene triangle is a triangle with no equal sides and have internal angles with different measures.

D. Obtuse: By definition, an obtuse triangle is a triangle in which one of the interior angles is greater than 90°. Since one of the interior angles is greater than 90° (specifically, one of the angles is 120°), then the triangle matches the definition of an obtuse triangle.

The given triangle is NOT:

Formula = 4/3 x pi x r^3

4/3 x 3.14 x 7^3 = 1436.03

answer: a. 1436.03 cubic units

Answer:

answer: a. 1436.03 cubic units

Step-by-step explanation:

I took a test

Answer:

twelve edges is the correct answer

To calculate the discharge through the circular channel, we can use Manning's equation, which relates the flow rate (Q) to the channel properties and flow conditions. Manning's equation is given by:

Q = (1/n) * A * R^(2/3) * S^(1/2)

where:

Q is the discharge (flow rate)

n is Manning's coefficient (0.014 in this case)

A is the cross-sectional area of the channel

R is the hydraulic radius of the channel

S is the slope of the channel bed

First, let's calculate the cross-sectional area (A) of the circular channel. The diameter of the channel is given as 6m, so the radius (r) is half of that, which is 3m. Therefore, the area can be calculated as:

A = π * r^2 = π * (3m)^2 = 9π m^2

Next, let's calculate the hydraulic radius (R) of the channel. For a circular channel, the hydraulic radius is equal to half of the diameter, which is:

R = r = 3m

Now, we can calculate the slope (S) of the channel bed. The given slope is 1 in 600, which means for every 600 units of horizontal distance, there is a 1-unit change in vertical distance. Therefore, the slope can be expressed as:

S = 1/600

Finally, we can substitute these values into Manning's equation to calculate the discharge (Q):

Q = (1/0.014) * (9π m^2) * (3m)^(2/3) * (1/600)^(1/2)

Using a calculator, the discharge can be evaluated to get the final result.

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Based on the length of the trail and the proportions hiked by Han and Jada, the following are true:

The trail is 7 miles long.

If Han hiked for 1/2 of it, he hiked:

= 1/2 x 7

= 3.5 miles

If Jada hiked for 2/3 of it, Jada hiked;

= 2/3 x 7

= 4.7 miles

In conclusion, Jada hiked more than Han.

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Answer:

\(4.35$ cm^2\)

Step-by-step explanation:

For the equilateral triangle in a semicircle of radius 4cm.

Side Lengths =4cm

Angles =60 degrees

\(\text{Area of a Triangle}=\frac{1}{2}ab\sin \theta\)

Therefore, the area of one equilateral triangle

\(=\frac{1}{2}*4*4*\sin 60^\circ\)

Area of the three equilateral triangle

\(=3*\frac{1}{2}*4*4*\sin 60^\circ\\=20.7846$ cm^2\)

Area of the semicircle

\(=0.5 \times \pir^2\\=0.5 \times \pi * 4^2\\=25.1327$ cm^2\)

Therefore, the area left over =Area of Semicircle -Area of Triangles

=25.1327-20.7846

=\(4.35$ cm^2\)

Answer:

C

Step-by-step explanation:

Answer:

Question 1:

The sum of interior angles of a polygon can be found by the following formula:

(n-2) × 180

Where n is the no. of sides

A pentagon has 5 sides

So,

= (5-2) × 180

= (3) × 180

= 540 degrees

Question 2:

Since The sum of interior angles of a regular octagon is 1080 and the total interior angle are 8

So, Measure of interior angle = \(\frac{1080}{8}\)

Measure of interior angle = 135 degrees

Question 3:

Since, one interior angle in a hexagon measures 120 degrees.

So,

The interior angle should be subtracted by 180 to get the exterior angle.

Exterior angle = 180-120

Exterior Angle = 60 degrees

Answer:

Yes, they're the same.

Step-by-step explanation:

-3-2c can be re-written as -1(2c+3) and -3 can be re-written as -1(3). So you can rewrite the fraction as -1(2c+3)/-1(3). The -1's go away and the new fraction is (2c+3)/3.

r as a percent is a) a = 79, b = 1.002, and r = 0.2%.

The formula given, q = abt = a(1+r)t, represents exponential growth, where a is the starting value, b is the growth factor, r is the growth rate, t is the time period, and q is the final value after t periods.

Given q = 79(1.002)^t, we can see that:

a = 79 (the starting value)

b = 1.002 (the growth factor)

r = 0.2% or 0.002 (the growth rate, expressed as a decimal)

So, the correct answer is a) a = 79, b = 1.002, and r = 0.2%.

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The ponderal index cannot be computed without the value of the constant "a" in the formula. Therefore, the ponderal index for a person who is 76 inches tall and weighs 192 pounds cannot be determined.

To compute the ponderal index, we need the formula and the value of the constant "a."

a) The formula for the ponderal index is given as I = a, where I represents the ponderal index and a is a constant. However, the value of the constant "a" is missing in the provided information. Without knowing the value of "a," we cannot compute the ponderal index for a person who is 76 inches tall and weighs 192 pounds.

b) Similarly, without knowing the value of the constant "a," we cannot determine the weight of a man who is 77 inches tall and has a ponderal index of 11.56.

To compute the ponderal index or determine the weight, we need the specific value of the constant "a" in the given formula.

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The midsegment linking the cartesian coordinates of two of a triangle's sides is parallel to the fourth aspect of the triangle, and its length is half that of the third side, according to the midsegment theorem.

The assertions that the Greek mathematician Pythagoras discovered the properties of right-angled triangles in the fifth century BC just did not match up, according to many. Some people think following commentary shows it was a joint effort among his disciples, the Pythagoreans.

Equilateral: equal angles and all three sides. Acute isosceles: two identical sides and angles, both of which are only about 90 degrees. Acute scalene has irregular sides and angles, all of which are under 90 degrees. Obtuse isosceles: two identical sides and angles, one of which is more than 90 degrees.

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When you do NOT assume the weather each day is independent (meaning if it rains on Saturday that increases the probability of having rain on Sunday), the probability that it will rain on the first Saturday AND on that Sunday depends on how the weather is dependent. The probability of rain on the first Saturday is not given;

let it be x. Then the probability of rain on Sunday depends on what happened on Saturday. If it rained on Saturday, then the probability that it rains again on Sunday is p. If it did not rain on Saturday, then the probability that it rains on Sunday is q.

Then the probability that it will rain on the first Saturday AND on that Sunday is given byxp + (1-x)q.Here x is the probability of rain on Saturday and (1-x) is the probability of no rain on Saturday. The probability of rain on Sunday, given that it rained on Saturday, is p. The probability of rain on Sunday, given that it did not rain on Saturday, is q. Therefore, the probability that it will rain on the first Saturday AND on that Sunday isxp + (1-x)q.

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Answer:

4

Step-by-step explanation:

1, 4, 16,64,

1*4=4

4*4=16

16*4=64

The common ratio is what we are multiplying by

We are multiplying by 4 so the common ratio is 4

As a result, the radian measure of the relevant center angle is around 3.07 radians.

An arc is any smooth curve that connects two locations. The length of an arc is referred to as its arc length. A graph arc is an ordered pair of neighboring vertices in a graph. An arc is defined as any segment (other than the complete curve) of a circle's circumference.

Here,

The formula for the length of an arc in a circle is given by:

Arc Length = (Central Angle / 2π) * Circumference

We know the Arc Length and the Radius of the circle, so we can find the Central Angle as follows:

Arc Length = (Central Angle / 2π) * 2π * Radius

66/5 * π = (Central Angle / 2π) * 2π * 22

66/5 * π = Central Angle * 22

Central Angle = (66/5 * π) / 22

The radian measure of an angle is equal to the ratio of the length of the arc that it intercepts to the radius of the circle. Hence, the radian measure of the central angle is given by:

Central Angle (in radians) = Arc Length / Radius

= (66/5 * π) / 22

So, the radian measure of the corresponding central angle is approximately 3.07 radians.

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Hello!

surface area

= 2(6*2) + 2(4*2) + 4*6

= 2*12 + 2*8 + 24

= 24 + 16 + 24

= 64 square inches

This test batch can be chosen is 455 ways. (Option A).

The problem is asking for the number of ways to choose 3 batteries out of a box of 15.

This is a combination problem and the number of ways to choose k items out of a set of n items, without regard to the order of selection, is given by the binomial coefficient:

C(n,k) = n!/(k!(n-k)!)

where ! denotes factorial.

So in this case, we have:

C(15,3) = 15!/(3!(15-3)!) = 151413/(321) = 455

So, the answer is 455.

Therefore, This test batch can be chosen is 455 ways. (Option A).

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Answer:

30 feet of chain link and 50 feet of rope

Step-by-step explanation:

Let's call the amount of chain link as x and the amount of rope as y. We can write:

x + y = 80 -- Equation 1

2x + 1.5y = 135 -- Equation 2

2x + 2y = 160 -- Equation 3 (Multiply Equation 1 by 2)

0.5y = 25 (Subtract Equation 2 from Equation 3)

y = 50 (Divide by 2)

x + 50 = 80 (Substitute y = 50 into Equation 1)

x = 30 (Subtract 50)

The 3D shapes are,

⇒ Cube

⇒ Cuboid

⇒ Prism

⇒ Sphere

⇒ Cylinder

A cuboid is the solid shape or three-dimensional shape. A convex polyhedron which is bounded by six rectangular faces with eight vertices and twelve edges is called cuboid.

Given that;

The 3D shapes are given in figure.

Now, We have;

In first figure,

Cartoon is in shape of Cube.

In second figure,

Box is in shape of Cuboid.

In Third figure,

File is in shape of Prism.

In fourth figure,  

Ball is in shape of sphere.

In fifth figure,

It is in shape of Cylinder.

Thus, The 3D shapes are,

⇒ Cube

⇒ Cuboid

⇒ Prism

⇒ Sphere

⇒ Cylinder

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