Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value t α/2
​
. (b) find the critical value z α/2
​
, or (c) state that neither the normal distribution nor the t distribution applies. Here are summary statistics for randomly selected weights of newborn girls: n=225, x
ˉ
=29.2hg,s=7.1hg. The confidence level is 99%. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. t α/2
​
= (Round to two decimal places as needed) B. z α/2
​
= (Round to two decimal places as needed) C. Neither the normal distribution nor the t distribution applies.

The sequence of transformations that will transform graph of y = cosx into the graph of y = f(x) are

The transformation of y = cos x to have a local maximum and has coordinates (1,3) and a local minimum with coordinates (2,-3) is done as follows

y = cos x have a maxima of 1 and minima of -1 a vertical stretch by a factor of 3will arrive at a maxima and minima of 3 and -3 respectively

y = 3 cos x

horizontal stretch by a factor of 3.14

A period is 6.28 units, for a maxima and minima to be a unit apart in the x direction, a period should be 2 units

hence 6.28 / 2 = 3.14

y = 3 cos 3.14x

To shift the maxima and the minima to 1 and 2 we translate to the right by 3.14 units. subtraction moves the graph to the right

y = 3 cos 3.14x - 3.14

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Answer:

2-4cannot go so the answer will be -2

The number 24.5 in Roman numerals is XXIV. The Roman numeral system is a numeral system that originated in ancient Rome and was used in the Roman Empire and Europe until the 14th century.

It is a numeric system that uses specific letters from the alphabet to represent different numbers.To express decimal numbers in Roman numerals, a vinculum is used.

This is a horizontal line placed above the letters that represent the number being multiplied by 1000.

Therefore, to convert 24.5 into Roman numerals, we separate 24 into two parts:

20 and 4.5. 20 is represented by XX, while 4.5 is represented by the half symbol s, which is indicated by placing a horizontal line above the previous number.

Thus, 24.5 is represented as XXIVSs. Note that the use of the half symbol (s) is not universal in Roman numerals, and there are different ways to express decimal numbers in Roman numerals.

However, the use of the vinculum is one of the most common ways to represent decimal numbers in this numeral system.

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Answer : The integral value is: ∫∫sin(r^2) dr dθ = -π(cos(49) - cos(9))

Given:  we have 3 ≤ r ≤ 7.

The integral becomes: ∫∫sin(r^2) dr dθ

with r ranging from 3 to 7 and θ ranging from 0 to 2π.

Now we can evaluate the integral:

∫(0 to 2π) dθ ∫(3 to 7) r sin(r^2) dr

To solve the inner integral, we use substitution. Let u = r^2, so du = 2r dr.

Then: (1/2)∫(9 to 49) sin(u) du = [-(1/2)cos(u)](9 to 49) = -(1/2)[cos(49) - cos(9)]

Now, evaluate the outer integral:

∫(0 to 2π) [-(1/2)(cos(49) - cos(9))] dθ = -[(1/2)(cos(49) - cos(9))][θ](0 to 2π)

= -(1/2)(cos(49) - cos(9))(2π - 0) = -π(cos(49) - cos(9))

So the integral value is:

∫∫sin(r^2) dr dθ = -π(cos(49) - cos(9))

Answer:

I don't know the answer but have a amazing day!<3

Step-by-step explanation:

Be happy.

The inputs that are solutions for the inequality are:

x = 2

x= 1

Here we have the following inequality:

-5x < 2

We want to see which of the given inputs is a solution for this.

First we can isolate the variable in our inequality, so we get:

-5x < 2

-2 < 5x

-2/5 < x

-0.4 < x

So any value larger than -0.4 is a solution, from the given options, the two that are solutions are:

x = 1

x = 2.

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The missing measurement of this right triangle is x=2√14

Answer:

the answer is 10% if it is simple interest you're talking about.

Answer: Yes. It will be amended

Step-by-step explanation:

Since 5/6 of the 52 states in a country must approve the amendment before the country's constitution is amended, then the number of states that must approve it will be:

= 5/6 × 52

= 43.33

= 43 approximately

Since 44 states approve an​ amendment, the constitution be​ amended since it's more than 5/6 of the 52 states.

Answer:

556$

Step-by-step explanation:

$6 x 112 = 672$

1228-672 = 556

Answer:

base :6 units

height:4units

area of a triangle: 1/2 ×b×h

1/2× 6×4=12

12sqaure units should be the area

Answer:

The propagated error in the volume of the spheres is approximately 0.628 cm^3.

Step-by-step explanation:

To calculate the propagated error in the volume of the spheres, we need to consider the accuracy of the manufacturing process. In this case, the process is accurate to 1 mm (0.1 cm) for the diameter of the spheres.

The formula for the volume of a sphere is V = (4/3) * π * r^3, where r is the radius. Since the diameter of the spheres is given as 10 cm, the radius is half of the diameter, which is 5 cm.

To calculate the propagated error, we first need to find the change in volume due to the manufacturing accuracy. The change in radius can be calculated as 0.1 cm. Substituting this change in radius into the formula, we can calculate the change in volume:

ΔV = (4/3) * π * (r + Δr)^3 - (4/3) * π * r^3

Simplifying and substituting the values, we have:

ΔV = (4/3) * π * (5 + 0.1)^3 - (4/3) * π * 5^3

Calculating this expression yields approximately 0.628 cm^3 as the propagated error in the volume of the spheres.

This means that due to the manufacturing process accuracy of 1 mm, each sphere's volume can deviate by approximately 0.628 cm^3 from the ideal volume calculated using the given diameter.

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We know that

49º + g = 79º

we have to find a number that added with 49º is 79º

This number is

79º - 49º = 30º

Since

49º + 30º = 79º

Then

g = 30º

After set s1.addAll(s2), s1 is [1, 2, 5, 2, 3, 6].

After performing the operation s1.addAll(s2) on sets s1 [1, 2, 5] and s2 [2, 3, 6], the set s1 would become[1, 2, 5, 2, 3, 6].

To determine the value of s1, the following steps has to be taken:

1. Start with sets s1 [1, 2, 5] and s2 [2, 3, 6].

2. Apply the addAll operation with set s2: [2, 3, 6]

3. Add each element from set s2 to set s1, while avoiding duplicates (since sets cannot have duplicate elements).

4. Therefore, suppose if set s1 is [1, 2, 5] and set s2 is [2, 3, 6] then, after s1.addAll(s2), the set s1 becomes [1, 2, 5, 2, 3, 6].

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Answer: Jerry will have to grow 24 more inches to reach his max Height of 72 inches. If you put this into an inequality it would be 48 plus a number that is more significant than or equal to 72

Step-by-step explanation:

48+X_>72

Answer: x = 20

Step-by-step explanation:

Right angle = 90

90 - 47 = 43

43 - 3 = 40

40/2 = 20

All angles in triangle add to 180

The square is a 90* because its a right triangle

50 + 90 + x = 180

Simplify and solve

140 + x = 180

x = 180 - 140 = 40

unknown angle is 40

Hope this helps,

Jeron

:- )

Answer:

A. 40

Step-by-step explanation:

180(Whole)

50(Angle 1)

90(Right Angle)

180 - 50 = 130

130 - 90 = 40

Your answer is the first option, the missing angle is 40.

Hope this helped! Have a good day!

Answer:

buss stop 2

Step-by-step explanation:

Answer:

x < 8/3

Step-by-step explanation:

100+37.50x < 200

37.50x < 200 - 100

37.50x < 100 /: 37.50

x < 8/3

Answer:

8.003 x 10^6

Step-by-step explanation:

The another equivalent expression of total liquid is (x+2)/4.

Expressions that perform similarly but differ in appearance are said to be equivalent expressions. When the same value for the variable is entered, two algebraic expressions that are equivalent will have the same result.

x quarts liquid in the container 3/4 part of liquid is removed

Then remaining liquid in container = X - \(\frac{3}{4}X\)

Then remaining liquid in container = x/4quarts

Another 1/2 quart is poured into container

Then total liquid = \(X-\frac{3}{4}X+\frac{1}{2}\) quarts

total liquid = \(\frac{X+2}{4}\) quarts

So, then the another equivalent expression of total liquid is (x+2)/4.

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The expected value of a ticket in this raffle is $12.50.

We have to given that;

1000 raffle ticket are sold for $1 each and there are ten $20, five $50, and one $100 prize.

Now, For the expected value of a ticket, we need to multiply the probability of winning each prize by the amount of each prize, and then add up those values.

Hence, In this case, there are a total of 16 prizes as,

⇒ (10 $20 prizes, 5 $50 prizes, and 1 $100 prize),

Thus, the probability of winning any one prize is,

⇒ 1/16

So, the expected value of a ticket would be:

= (10/16) $20 + (5/16) $50 + (1/16) x $100

= $12.50

Therefore, the expected value of a ticket in this raffle is $12.50.

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Answer:

1 1/2%

Step-by-step explanation:

1 square is shaded and half the other square is shaded

Answer:

240 Miles

Step-by-step explanation:

60 + 60 + 60 + 60 = ?

Answer:

8

Step-by-step explanation:

you 17 plus square root 241

Answer:

241

Two zeros.

Step-by-step explanation:

In the general form \(ax^2 + bx + c = 0\), the discriminant D is given by:

\(D = b^2-4ac\)

If \(D < 0\), there are no real solutions

If \(D=0\), there is one solution

If \(D > 0\), there are two solutions

For \(f(x) = 4x^2-17x+3\)

D is calculated as \(17^2 - 4\times4\times3 = 241\)

Since 241 is larger than zero, there are two solutions.

We have

1 month --- 2 1/2 boxes

4 months --- x boxes

in order to find the number of boxes we will use crossed multiplication

ANSWER

4 months ---- 10 boxes

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. A rational function is a function of the form f(x)=p(x)q(x) , where p(x) and q(x) are polynomials and q(x)≠0 .

Answer:

4h^3 - 8h^2 + 17h + 3

Step-by-step explanation:

I put it into my calculator, let me know if that helped!

Answer: omm

but I need this so

Step-by-step explanation: