A. 0.700
B. 0.635
C. 0.875
D. 0.750

Using the z-distribution, it is found that the 90% confidence interval is given by: (0.6350, 0.6984).

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

In this problem, we have a 90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.

The sample size and the estimate are given by:

[tex]n = 600, \pi = \frac{400}{600} = 0.6667[/tex]

Hence, the bounds of the interval are given by:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6667 - 1.645\sqrt{\frac{0.6667(0.3333)}{600}} = 0.6350[/tex]

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6667 + 1.645\sqrt{\frac{0.6667(0.3333)}{600}} = 0.6984[/tex]

The 90% confidence interval is given by: (0.6350, 0.6984).

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Applying an exponential property, it is found that the function that will generate the same note sequence as function f(n) is given by:

B. [tex]H(n) = 6(2)^{4n}[/tex]

The function for the node sequence is defined by:

[tex]f(n) = 6(16)^n[/tex]

A function that will the same note sequence as function f(n) has the same initial value of 6. Additionally, applying an exponential property, we have that:

[tex]H(n) = 6(2)^{4n} = 6(2^4)^n = 6(16)^n[/tex]

Hence option B is correct.

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[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{8})\qquad \qquad \stackrel{slope}{m}\implies -3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{-3}(x-\stackrel{x_1}{1}) \\\\\\ y-8 = -3x+3\implies y=-3x+11[/tex]

A quadrilateral is a polygon with 4 number of sides and 4 vertices. The shape of the field is either square or a rhombus.

A quadrilateral is a polygon with 4 number of sides and 4 vertices. A few examples of a quadrilateral are square, rectangle, rhombus, parallelogram, etc.

Given that ABCD represents a field, therefore, the field is a quadrilateral. Now, as the path is going between the field. And starts from A therefore, it will end at C.

Since It is the same distance from BA and BC. Therefore, it will be the diagonal of the quadrilateral. And as BA and BC are consecutive sides and are of the same length.

Hence, the shape of the field is either square or a rhombus.

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Answer: Kyle has 39 and Josh has 31

Step-by-step explanation:

you do 70-8 which equals 62 then divide by 2 which is 31. But Kyle has 8 more so add 31+8 so Josh has 31 and Kyle has 39

Answer:

[A] -3(2x-2.5)

Step-by-step explanation:

Given:

Which expression is equivalent to -6x + 7.5?

Solution:
Going through all answer choices:

[A] -3(2x-2.5)

Simplify

-6x + 7.5

[B] -3(2x + 2.5)

Simplify

-6x - 7.5

[C] -3(2x-7.5)

Simplify

-6x+22.5

[D]  -3(2x + 7.5)

Simplify

-6x - 22.5

Hence, the answer is [A] -3(2x-2.5)

Kavinsky

- 6x + 7.5

If you we split this equation then we'll get -3(2x-2.5).

Because,

Answer:

DeShawn can buy 5 packages of tomatoes.

Step-by-step explanation:

If Ashley got one for $3, that means DeShawn can five for $15.

15÷3=5

So

$15÷$3=5 packages of tomatoes.

I tried to explain everything. I've bolded the main points. Hope this helps! Good luck!

Answer:

B. 6 cm

Step-by-step explanation:

[tex]\text{Take the volume of a sphere and solve for r.}\\V=\frac{4}{3}\pi r^3\\\text{We already know that the volume is 113, so substitute that value.}\\113=\frac{4}{3}\pi r^3\\\text{Divide both sides by 4/3 pi.}\\\frac{113}{\frac{4}{3}\pi}=r^3\\\text{Divide 113 by 4/3 pi.}\\r^3=26.98\\\text{For a more accessible value, round up.}\\r^3 \approx27\\\text{Take the cube root of both sides.}\\r=3[/tex]

Now that the radius is known, all we have to do is multiply it by 2 to get the diameter. Here the answer is simply 3 * 2, or 6.

Answer:

B. 6 cm

Step-by-step explanation:

You can use the formulas [tex]d=(\frac{6V}{\pi } )^{\frac{1}{3} }[/tex] or [tex]d = \sqrt[3]{\frac{6V}{\pi } }[/tex] to solve for diameter using volume. I will use the first forumla for this problem.

1. Substitute 113 for "V":

[tex]d=(\frac{6(113)}{\pi }) ^{\frac{1}{3} }[/tex]

2. Multiply in the parenthesis:

[tex]d=(\frac{678}{\pi } )^{\frac{1}{3} }[/tex]

3. Divide by pi (3.14):

678 ÷ 3.14 = 215.923567

[tex]d=215.9^{\frac{1}{3} }[/tex]

4. Apply the exponent:

d = 5.99907...

d = 6 cm

hope this helps!

Answer: 60

Step-by-step explanation: 30+ 50 + 60 + 70 + 90 = 300

Divide by 5

Answer:

3/4

Step-by-step explanation:

1/4+5/2=1/4+10/4=11/4=2 3/4-2=3/4

Answer:

40<x<168

Step-by-step explanation:

Answer:

working on the two will edit this ans afterwords

Answer:

it’s D, I just

Took the quiz

Answer:

Correct answer is C.

Step-by-step explanation.

Probability of picking red = number of red / total marbles.

probability = 3/13

Answer:

All real numbers

Step-by-step explanation:

We can start out by knowing that the domain of a graph is, the side, to side from the x axis directions.

We can see that the line continues of the graph shown, meaning it is infinite. Meaning the answer is the domain is all real numbers.

We can double check by seeing that the other options don't work or aren't enough:

[tex]x\geq 2\\and\\x\leq 2\\and\\x\geq -4[/tex]

The first wouldn't work becuase, yes that is part of the answer, but not the whole answer. The same goes for the others as well, they are on the line and are correct, but the best, and full answer is "All real numbers"

Answer:

c. 84.78 mm

Step-by-step explanation:

Circumference of a circle

Given

Solving

Using a proportional relationship, it is found that the two equations that have the same constant of proportionality are givn by:

с 1 and 3

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

In this problem, the functions and constants are given as follows:

Equations 1 and 3 have the same constants, hence option c is correct.

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Answer:

5

Step-by-step explanation:

After buying the Paper Tori is left with $15.

Since each notebook costs $3, 15 / 3 = 5 so she can buy 5 notebooks.

Answer:

5 notebooks. she bought one paper for 5$, meaning she is left with 15$ because 20-5=15. now that we have 15, we need to divide it by three, because notebooks are 3$ each, leaving us with 5 notebooks.

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

The defender is at (x) = 35 yards

So height  y = (-1/40)35^2 + 35 + 6 = 10.375 ft

So as he only jumps to 9 feet he will not prevent the catch

Answer:

1

Step-by-step explanation:

Answer:

C ∪ D = (-∞, 2] ∪ (7, ∞)

C ∩ D = Ø  (empty)

Step-by-step explanation:

C ∪ D:  The union of two sets or intervals is the set of elements which are in either set.  

C ∩ D:  The intersection of two sets or intervals is the set of elements which are in both sets.

Interval notation symbols

Square brackets [ ]: both endpoints are included in the set.

Round brackets ( ): both endpoints are excluded in the set.

Round, square ( ]: left endpoint is excluded and right endpoint is included in the set.

Square, round [ ): left endpoint is included and right endpoint is excluded in the set.

Given:

Therefore,

Therefore,  C ∪ D = (-∞, 2] ∪ (7, ∞)

As x is either equal to or less than 2, or greater than x, there are no elements which are in both sets.

Therefore,  C ∩ D = Ø  (empty)

Answer:

(3,-4)

Step-by-step explanation:

QI=(+,+)

QII=(-,+)

QIII=(-,-)

QIV=(+,-)

Answer:

(3,-4)

Step-by-step explanation:

you are roating the triangle down (across the y-axis) and then moving to the right (across the x-axis). I hope this helps!

Answer:

  (c)  115.2 ft³

Step-by-step explanation:

The volume of a composite figure can be found by decomposing it into figures whose volumes are easy to compute. Here, the figure can be nicely represented as a cube and a square pyramid.

__

The volume of the cube on the left is given by ...

  V = s³

  V = (4.2 ft)³ = 74.088 ft³

__

The volume of the pyramid on the right is given by ...

  V = 1/3Bh . . . . . where B is the area of the square base

  V = 1/3(s²)h = (4.2 ft)²(7 ft) = 41.16 ft³

__

The volume of the composite figure is the sum of these volumes:

  cube volume + pyramid volume = 74.088 ft³ +41.16 ft³ = 115.248 ft³

The volume of the composite figure is about 115.2 ft³.

Answer: Find the equation with a point and y-intercept.

y = 49/32x + 1/4

image below

Answer:

Yes there is a bias, they are only samplying from one resturant. This resturant could be any type of resturant. the food could be bad or good which wouldnt give us the right info we are looking for. You would want to interview as many customers from as many different resturants in that area.

Step-by-step explanation:

Answer:

Step-by-step explanation:

(x - 10)² is not an equation. It is in factorized form. If you do not mention the equals sign, then that is not an equation. But however, this factorized form can be converted to expanded form using  Algberaic formulae. The formulae are,

(a - b)² = a² - 2ab + b², (a + b)² = a² + 2ab + b²

According to the question,

a = x and b = 10

(x - 10)² = x² - 2 (x)(10) + 10²

             = x² - 20x + 100

x² - 20x + 100 is the expanded form of (x - 10)².

Answer:

The Snack Shop

Step-by-step explanation:

The equation given, y=1.25x means this store sells a bar of granola for $1.25.

The other store sells their granola bar for $1.30.

1.25 is less than 1.30.

Hence, the snack shop sells their granola bars for a lower price.

Answer: A

Step-by-step explanation: