Dustin bowled a three-game series at a bowling alley. His scores for the three games were 178, 209, and 159. What was Dustin's average score? A) 178 Eliminate B) 179 C) 180 D) 182

Answer:

A sample of 383 would be required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

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

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

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

In an earlier study, the population proportion was estimated to be 0.3.

This means that [tex]\pi = 0.3[/tex]

80% confidence level

So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].

How large a sample would be required in order to estimate the fraction of people who black out at 6 or more Gs at the 80% confidence level with an error of at most 0.03?

A sample of n is needed.

n is found when M = 0.03. So

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

[tex]0.03 = 1.28\sqrt{\frac{0.3*0.7}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.28\sqrt{0.3*0.7}[/tex]

[tex]\sqrt{n} = \frac{1.28\sqrt{0.3*0.7}}{0.03}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.28\sqrt{0.3*0.7}}{0.03})^2[/tex]

[tex]n = 382.3[/tex]

Rounding up:

A sample of 383 would be required.

Answer:

Before and after current era

Answer:

x = 2

y = 1

Step-by-step explanation:

Answer:

x= 2

y= -1

Step-by-step explanation:

Answer:

Ralphie's dad can eat 8 fruit bars without going over his calorie allotment.

Answer:

3 1/2 - 1 4/6= 1 5/6

Step-by-step explanation:

Para calcular el volumen  de un prisma rectangular, multiplica sus 3 dimensiones: longitud x ancho x altura.

Answer:

113.14cm^3

36π cm^3

Step-by-step explanation:

the composite solid is made up of a cylinder and a hemisphere

volume of solid = volume of cylinder + volume of hemisphere

volume of a cylinder = nr^2h

n = 22/7

(22/7) x (3^2) x 2 = 56.57 cm^3

or in terms of pi = 18π

volume of a hemisphere = (2/3) x (n) x (r^3)

n = 22/7

r = radius

(2/3) x (22/7) x (3^3) = 56.57 cm^3

or in terms of pi = 18π

volume of solid = 56.57 cm^3  x 2 = 113.14cm^3

or 18π x 2 = 36π cm^3

56.57

Answer:

uhm I don't know this one.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

x = 5, y = 5

Step-by-step explanation:

The scale changes from 8 to x+y

to find the change in scale, use the bottom values.

2 + 3 = 5 | 1 + 3 = 4

5/4 = 1.25 (the scale)

8 * 1.25 = 10

x+y = 10

There are 2 possibilities for this, but I feel like it is possibility #1

1. x = 5, y = 5

2. x = 4, y = 6

Answer:

the answer is 54.7

Step-by-step explanation:

82.6 - 27.9 = 54 7

Answer:

7.4

Step-by-step explanation:

10% of 74 is 7.4 by moving the decimal over one place. This will save them $7.40

Answer:

Hello Answer: V = 20

Step-by-step explanation:

Hope this helps!

9514 1404 393

Answer:

  v = 20 ft

Step-by-step explanation:

The similarity statement tells you the proportional sides:

  IH/IK = IG/IJ

  v/(10 ft) = (16 ft)/(8 ft)

  v = 10 ft × (16 ft)/(8 ft) = 10 ft × 2

  v = 20 ft

Answer:

38

Step-by-step explanation:

I'm pretty sure its just the same

Answer:

annhbhhnnnnnnbhhhbbbbbbbbbbbbbbbbbbbbbbbnbnnnnnnnnnnnnnnnnnnnnnn 24cm2

Answer:

(64^3)^(1/6)

=(64)^(3×1/6)

=(64)^(1/2)

=(8^2)^(1/2)

=(8)^(2×1/2)

=8^1

=8

8 is the correct answer of your question...

Answer:

8

Step-by-step explanation:

Remember the phrase "power to a power means to multiply the exponents"

That is, if you have a number (call it x) raised to a power (call it b), and that whole expression is raised to a power (call it c), it's the same as that number  x raised to the power of the product of those two powers.

[tex](x^a)^b = x^a^b[/tex]

Here's an example showing to give some intuition behind this (and a way to derive the above formula if you forget it):

[tex]x^3 = x*x*x\\(x^3)^2 = (x*x*x)^2 = x*x*x*x*x*x = x^6[/tex]

Or more simply,

[tex](x^3)^2 = x^(^3^*^2^) = x^6[/tex]

So in this case:

[tex](64^3)^\frac{1}{6} = 64^(^3^*^\frac{1}{6}^) = 64^\frac{1}{2} = 8[/tex] (remember a number raised the to the power of 1/2 is the square root of the number; in this case, the square root of 64 is 8)

Answer:

can we go with D. 54 ?

the height and length is 9 and 6

9x6= 54

Answer:

B . 27 square units

Step-by-step explanation:

Area of triangle is 1/2 ×b×h

base is MN = 6 units

hight is 9 unis

so 1/2 ×6×9 = 3×9 =27 square Units

Answer:

The base of the pyramid is a triangle, and the lateral faces are also triangles.

Answer:

The amplitude is 1

Step-by-step explanation:

Given

The right function is:

[tex]y = \cos(5x + \frac{2}{5}\pi) +5[/tex]

Required

Determine the amplitude

The general cosine function is:

[tex]y = A\cos(k(x + c)) +d[/tex]

Where

[tex]Amplitude = |A|[/tex]

Compare [tex]y = A\cos(k(x + c)) +d[/tex] and [tex]y = \cos(5x + \frac{2}{5}\pi) +5[/tex]

[tex]A = 1[/tex]

So:

[tex]Amplitude = |1|[/tex]

So, we have:

[tex]Amplitude = 1[/tex]

The Answer Is 35 Inches Squared

Answer:

[tex]y = -\frac{21}{2}x+5[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (-4,47)[/tex]

[tex](x_2,y_2) = (2,-16)[/tex]

Required

The equation in slope intercept

First, calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where:

[tex](x_1,y_1) = (-4,47)[/tex]

[tex](x_2,y_2) = (2,-16)[/tex]

So:

[tex]m = \frac{-16 - 47}{2 - -4}[/tex]

[tex]m = \frac{-63}{6}[/tex]

Simplify

[tex]m = -\frac{21}{2}[/tex]

So, the equation is calculated as:

[tex]y = m(x - x_1) + y_2[/tex]

This gives:

[tex]y = -\frac{21}{2}(x - -4) + 47[/tex]

[tex]y = -\frac{21}{2}(x+4) + 47[/tex]

Open bracket

[tex]y = -\frac{21}{2}x-42 + 47[/tex]

[tex]y = -\frac{21}{2}x+5[/tex]

Answer:

132

Step-by-step explanation:

Area of a triangle = [tex]\frac{bh}{2}[/tex]

where b = base and h = height

The following triangle has a base length of 33 m and a height of 8 m

Using this information we plug in the values into the formula

[tex]A=\frac{33*8}{2} \\33*8=264\\\frac{264}{2} =132[/tex]

hence, the area of the triangle is 132 square meters

Amelia would have to multiply the number 7/10 on the price on the tags that she has to pay.

Percentage is a part of the whole number. It is denoted by % sign.

1 %= 1/100.

Given that,

The discount on new camera bought by Amelia = 30%.

To find the number that Amelia should multiply to pay,

Let The required number be x,

and total price of the camera is 100%

So after discount the price of camera = 100 - 30 = 70%

Implies that,

100 × x = 70

x = 70 / 100

x = 7 / 10

So the required number is 7/10 that Amelia should multiply the price she would have to pay.

To know more about Percentage on:

https://brainly.com/question/24120406

#SPJ1

Answer:

314.96in

Step-by-step explanation:

Answer:

being e tnn 6t FCC CBC ni irdghyy42s nhi it a njugkinsa high by nigh

Answer:

I'm sorry I can't help because I don't know what part is shaded.  Note: Since a square has the same length for each side all the sides are 16 cm.

Area and Perimeter for WHOLE square:

A: 256 sq cm

P: 64 cm

Answer: its 40.0 m²

Step-by-step explanation:

A=wl=4·10=40.0 m²

your welcome

Answer:

the answer is D

Step-by-step explanation:

Answer:

multiple regression

Step-by-step explanation:

In the field of statistics, the multiple regression is the statistical technique which uses the various explanatory variables for predicting the outcome of the response variable. It is the extension of the simple linear regression. It explains the relation between the multiple predictor variables or independent variables and one dependent variable or criterion variable.

In the context, the manager of a tourist company predicting the number of calls to the toll free number is using the statistical technique of multiple regression.

Answer:

B.

Step-by-step explanation: