Mathematics College

A restaurant owner is interested in the proportion of his customers who order dessert. He looks at 65 randomly selected receipts. Match the vocabulary word with its corresponding example.

a. The proportion of all customers who order dessert.
b. All customers who come to the restaurant.
c. The 65 restaurant patrons whose receipts were observed by the owner.
d. The proportion of the 65 randomly selected customers who ordered dessert.
e. The 65 restaurant patrons whose receipts were observed by the owner
f. All customers who come to the restaurant

1. Statistic
2. Variable
3. Sample
4. Data
5. Population
6. Parameter

Answers

Answer 1

Options E and F are repeated but the correct thing should be;

e. The list of the 65 Yes or No answers for whether each customer ordered dessert.

f. The answer: Yes or No to whether a customer ordered dessert

Answer:

a. Parameter

b. Population

c. Sample

d. Statistic

e. Data

f. Variable

Step-by-step explanation:

a. The proportion of all customers who order dessert: This is the parameter because it is the proportion of the population.

b. All customers who come to the restaurant: This is the population because it is from here that the sample was taken.

c. The 65 restaurant patrons whose receipts were observed by the owner: This is the sample because it was taken from the population.

d. The proportion of the 65 randomly selected customers who ordered dessert: This is the statistic because it represents a proportion of the sample.

e. The list of the 65 Yes or No answers for whether each customer ordered dessert: This is the data because it gives us information about the answers given.

f. The answer: Yes or No to whether a customer ordered dessert: This is the variable because it varies with with each customer.

Related Questions

If 3w +6=21 find the value of w

Answers

Answer:

[tex]3w + 6 = 21 \\ 3w = 15 \\ w = 5[/tex]

Hey there!

[tex]\mathsf{3w + 6 = 21}[/tex]

SUBTRACT 6 to BOTH SIDES

[tex]\mathsf{3w + 6 - 6 = 21 - 6}[/tex]

CANCEL out: 6 - 6 because that gives you 0 KEEP: 21 - 6 because it helps you solve for w

[tex]\mathsf{21 - 6 = \boxed{\bf 15}}[/tex]

NEW EQUATION: [tex]\mathsf{3w = 15}[/tex]DIVIDE 3 to BOTH SIDES

[tex]\mathsf{\dfrac{3w}{3}=\dfrac{15}{3}}[/tex]

CANCEL out: [tex]\mathsf{\dfrac{3}{3}}[/tex] because that gives you 1KEEP: [tex]\mathsf{\dfrac{15}{3}}[/tex] because that gives you the value of wNEW EQUATION: [tex]\mathsf{\dfrac{15}{3}=w}[/tex]

[tex]\mathsf{\dfrac{15}{3}=\boxed{\bf 5}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Therefore, your answer: \huge \bf w = 5}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

I need to calculate the surface area and volume of this figure.

Answers

but am not pretty sure

the volume of cone is =1/3 pie r² h

I think this is the formula to calculate it

PLEASE HELP ME ANSWER THESE QUESTIONS

Answers

Step-by-step explanation:

get a coin and toss it 40 times.....then input your answers....

dont forget to make a prediction about the outcome first

Which expression is equivalent to the algebraic expression below -4(3x-5

Answers

Answer:

-12x+20.

Step-by-step explanation:

I got it by multiplying the bracketed numbers by the -4.

STEM:

If you can rewrite a quadratic equation as a product of factors that equals zero, you
can solve the equation. To solve equations in this manner, you must use all your
factoring skills.

Example:

What are the solutions of the equation x2– x = 20?

First rewrite the equation so that one side equals zero.

x2– x = 20

x2 – x – 20 = 20 – 20

x2 – x – 20 = 0

Subtract 20 from each side.

Simplify.

Now, factor to rewrite the equation as a product of factors equal to zero. Find two
integers whose product is –20 and whose sum is –1. The product of 4 and –5 is
–20, and the sum of 4 and –5 is –1.

x + 4 = 0

x + 4 – 4 = 0 – 4

x = –4

x2 – x – 20 = 0

(x + 4)(x – 5) = 0

or

or

or

x – 5 = 0

x – 5 +5 = 0 +5

x = 5

The solutions are –4 and 5.

These "solutions" tell us where our quadratic function passess through the x-axis (ie this tells us the "roots" aka "x -intercepts" aka "zeros" aka "solutions" aka "zeros" are)

Question:

In the graph provided in the example, what do the coordinates (-4,0) and (5,0) represent?

A
The y- intercept of the function (ie where the function passes through the y-axis)

B
The x-intercept of the function (ie where the function passes through the x-axis)

C
The vertex of the function

D
none of the above

E
the zeros of the quadratic function

F
the roots of the quadratic function

Answers

9514 1404 393

Answer:

A, E, F

Step-by-step explanation:

Every point on the graph has coordinates (x, f(x)). This means a point such as (-4, 0) or (5, 0) is a point on the x-axis where f(x) = 0. It is all of ...

an x-intercepta root of the functiona zero of the function

These terms are used essentially interchangeably.

angle psr measures 99 degrees what is the measure of psq in degrees

Answers

Point S has three lines extending from it. One line extends to point P, another to point Q, and the other to point R. Angle P S Q is (3 x + 18) degrees.

Mark Brainliest please

Answer 45 degree

Explanation

See the image for detailed steps

if 2 newspapers cost 3 dollars how much does 1 newspaper cost

Answers

Answer:

x = 1.50

Step-by-step explanation:

We can use a ratio to solve

2 papers 1 paper

------------- = --------------

3 dollars x dollars

Using cross products

2x = 3*1

2x=3

Divide by 2

2x/2 = 3/2

x = 1.50

Answer:

$1.50

Step-by-step explanation:

example;

2/3=1.50

Have a great day <3

Decide whether the equation describes a function.
y = - 4x-1
Does the equation describe a function?
Yes
Νο.

Answers

Answer:

[tex]{ \tt{yes \: it \: describes \: a \: functional \: equation \: of \: a \: line}}[/tex]

The answer to your question is YES

Complete the table of function values.
f(x) = −4x + 3
x
f(x)
−1
0
1
2

Answers

Answer:

the answer will be - 9

Step-by-step explanation:

because 4plus 3 is 7 and minus one is 6 and then plus one is 7 and then plus the 2 and the ans will be x = -9

what is the measure of <B, in degrees.

Answers

Answer:

Step-by-step explanation:

The base angles of the triangle are the same since the sides are the same

<C = 74

A+B+C = 180 since the sum of the angles of a triangle = 180

74+B+74=180

Combine like terms

148+B =180

B = 180-148

B = 32

Answer:

[tex]\text{A. }32^{\circ}[/tex]

Step-by-step explanation:

From the Isosceles Base Theorem, the two base angles of a isosceles triangle are equal. Therefore, [tex]\angle A=\angle C=74^{\circ}[/tex].

Since the sum of the interior angles of a triangle is always equal to 180 degrees, we can write the following equation:

[tex]\angle A+\angle B+\angle C=180[/tex]

Substitute [tex]\angle A=\angle C=74^{\circ}[/tex] into this equation to solve for [tex]\angle B[/tex]:

[tex]74+\angle B+74=180,\\\angle B=180-74-74=\boxed{32^{\circ}}[/tex]

The roots of the equation x2 + 2x + 5 = 0 are

Answers

Is x = - 7/2. I hope this helped if u need the explanation plz comment and I’ll explain

from first-time customers. A random sample of 161 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is between 0.35 and 0.45

Answers

Answer:

This probability that the sample proportion is between 0.35 and 0.45 is the p-value of [tex]Z = \frac{0.45 - \mu}{\sqrt{\frac{p(1-p)}{160}}}[/tex] subtracted by the p-value of [tex]Z = \frac{0.35 - \mu}{\sqrt{\frac{p(1-p)}{160}}}[/tex]. These p-values are found looking at the z-table.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Estimate of the proportion:

This is p, and thus, we use [tex]\mu = p[/tex].

Sample of 160

This means that:

[tex]n = 160, s = \sqrt{\frac{p(1-p)}{160}}[/tex]

What is the probability that the sample proportion is between 0.35 and 0.45?

Point A’ is the image of Point A when point A is rotated about the origin B. What angle in the counterclockwise direction is A rotated through?

Answers

Answer:

90 degrees

Step-by-step explanation:

y
.
4
3
2
1-
2
-4
-3
-2
-1
1
2
3
4
-1
-2
-3
-4
What is the slope of the line?

Answers

Answer:

-1

Step-by-step explanation:

Slope is rise over run

graph us going up by 2 units and going to left by 2 units

[tex]\frac{2}{ - 2} \\ - 1[/tex]

what is the circumference of circle with a diameter of 9 feet? Use 3.14 for tt

Answers

Answer:

28.26

Step-by-step explanation:

The formula for calculating diameter is πd (pi times the diameter), so 3.14 times 9 is 28.26.

C= pi * d
C= 3.14 * 9
C= 28.26 ft

Find the volume of the cubes or rectangular prisms in cubic centimeters.
SS
8
125 cm
126cm
ਹੈ।
135cm
rectangular prism with a length,
width and height of 5 cm. 5 cm.
and 5 cm, respectively
cube with a side length of 5 cm
of a
cube with a side length of 5 cm
rectangular prism with a length,
width and height of 5 cm 5 cm.
and 5 cm, respectively

Answers

Answer:

ans : it is order wise

a) 6/125 cm³

b) 8/125 cm³

c) 1/125 cm³

d) 36/125 cm³

Step-by-step explanation:

for rectangular prism = length × width × height

= (1/5) × (2/5) × (3/5)

= 6/125 cm³

for cube = length³

= (2/5)³

= 8/125 cm³

for cube = (1/5)³

= 1/125 cm³

for rectangular prism = (3/5) × (4/5) × (3/5)

= 36/125 cm³

plzz help ill mark u brainliest

A. Angle 4 is congruent to.
b. Angle 5 is congruent to.
c. The sum of angles 1,4 and 5 equals.
d. Therefore the sum of angles of 1, 2, and 3 equals

Answers

Answer:

a. angle 4 is congruent to angles 1, 2, 3, 5

b angle 5 is congruent to angles 1, 2, 3, 4

c. the sum of angles 1, 4, and 5 is 180°

d. The sum of angles 1, 2, and 3 is 180 °

Step-by-step explanation:

a. all angles are the same measurement

b. all angles are the same measurement, you know this by measuring

c. they are on a striaght 180 degree line

d. the sum of a triangles angles are always 180 degrees

The measures of the angles of triangle ABC are 6x -7; 3x +10; and 10x +25 respectively.Find the measure of each angle of triangle ABCWhat type of triangle is ABC? Explain.

Answers

Answer:

41, 34, 105

Step-by-step explanation:

Given that :

Measure of angles :

6x -7; 3x +10; and 10x +25

Recall; sum of angles in a triangle is 180

(6x - 7) + (3x + 10) + (10x + 25) = 180

6x - 7 + 3x + 10 + 10x + 25 = 180

6x + 3x + 10x - 7 + 10 + 25 = 180

19x + 28 = 180

19x = 180 - 28

19x = 152

x = 8

Hence,

6x - 7 = 6(8) - 7 = 41

3x + 10 = 3(8) + 10 = 34

10x + 25 = 10(8) + 25 = 105

Find the solutions to 6x2 - 54x = 0

Answers

Answer:

14+28

Step-by-step explanation:

Answer:

6x^{2}-54x=0

6x2−54x=0

Step-by-step explanation:

Pls helllllpppppp!!! I don’t want anymore lectures from my parents and I don’t want to be the bad guy anymore. I need my grades up so pls no links or fake answers.

Your mom suggested ten different choices for you to eat for dinner over the next week. How many different ways can you choose your dinner?

A. 120
B. 240
C. 720
D. 960

Answers

Answer: I think the answer is 120

Step-by-step explanation:

I'm not sure tho

Tori rolls three numbered 1 though 6. She records it weather each cube lands on an even or odd number

Answers

Answer:

480 times

Step-by-step explanation:

Given

[tex]n = 50[/tex] ---- total number of rolls

See attachment for complete question

Required

Times OO will appear in a roll of 2000 times

From the attached bar graph,

[tex]n(OO) = 12[/tex]

So, the occurrence of OO in 2000 rolls is:

[tex]OO = \frac{n(OO)}{n} * 2000[/tex]

[tex]OO = \frac{12}{50} * 2000[/tex]

[tex]OO = 0.24 * 2000[/tex]

[tex]OO = 480[/tex]

3) A bag contains 5 yellow marbles, 2 blue marbles, 3 red
marbles. What is the probability you pull out a yelow marble?
Fraction:
Decimal:
Percent:

Answers

Answer:

fraction- 1/2

decimal- .5

percent 50%

Step-by-step explanation:

5 yellow marbles out of 10 total marbles.
Fraction: 5/10
Decimal: 0.5
Percent: 50%

Please assist, I'm really bad with word problems

Answers

Answer:

The surface area of the balloon is [tex]S(t) = \frac{100}{49} \pi t^8[/tex]

Step-by-step explanation:

Given;

S(r) = 4πr²

where;

S is the surface area of the balloon

r is the radius of the surface

The radius of the balloon at time "t" is given as;

[tex]r(t)= \frac{5}{7} t^4 \ \ \ t\geq 0[/tex]

The surface area of the balloon as a function of time "t" is calculated as;

[tex]S(t) = 4\pi (\frac{5}{7} t^4)^2\\\\S(t) = 4\pi (\frac{25}{49} t^8)\\\\S(t) = \frac{100}{49} \pi t^8[/tex]

Select the correct answer. Which graph represents the solution to the inequality?

Answers

Answer:

Step-by-step explanation:

First you simplify both sides to get -2.4x+14.4 > 52.8

then you need to subtract the 14.4 from both sides giving -2.4x> 38.4

then divide both sides by -2.4 giving an answer of

x is less than or equal to -16 meaning you point to the left with a closed circle

3. 72 in. ___ = ft help

Answers

Answer:

6 feet

Step-by-step explanation:

Answer:

72in is 6 feet

Step-by-step explanation:

Que número es menor que 2 1/2?
a-6/3
b-7/2
c-3
d-4

Answers

la respuesta es a- 6/3

Simplify Simplify 1 ∙ x - x/1

A. x
B. 1
C. 0

Answers

Answer:

Step-by-step explanation:

when the term has a coefficient of, it does not have to be written.

x- X/1

The sum of two opposites equals o

So the solution would be o

Alexia veut préparer un cocktail original

Answers

Answer:

????????????????????

linar system in variables
-x-3y-2z=8,
-x+y+6z=,
x-9y-2z=4

Answers

Answer:

-x+y+6z=? You did not spcify so I just made it 0

x = -22/5, y = -4/5, z = -3/5

Step-by-step explanation:

Solve the following system: