a door delivery florist wishes to estimate the proportion of people in his city that will purchase his flowers. suppose the true proportion is 0.07. if 492 are sampled, what is the probability that the sample proportion will differ from the population proportion by less than 0.03? round your answer to four decimal places.

A parameter that represents the amount of spread of individuals in the entire population of interest, which is typically unknown is the population mean.

The population mean can be determined by dividing the total number of values in the given data/population by the sum of all values in the data/population. The whole sum of the numbers is referred to as summation. The μ sign stands for the population mean.

The average calculated from the entire group, distribution, or population is known as the population mean. It is calculated by dividing the sum of all population variables by the total population of variables. Here, μ exists the population mean. ∑X exists the sum of all the observations in the population.

The population mean is a quantity that expresses the population's overall degree of individual variation, which is often unknown.

Therefore, the correct answer is option c) the population mean.

The complete question is:

a parameter that represents the amount of spread of individuals in the entire population of interest, which is typically unknown is group of answer choices the (true) standard error.

a) the sample standard deviation.

b) the estimated standard error.

c) the population mean.

d) the population standard deviation.

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The average before training with new trainer is 20 mph.

Let the average speed with old trainer be x. Forming the equation as per given information- Average speed with new trainer = 5% × Average speed with old trainer + Average speed with old trainer

Keep the values in formula to find the average speed with old trainer.

21 = 5/100x + x

Multiplying the equation with 100

2100 = 5x + 100x

Performing addition

105x = 2100

Shifting 105 to Right Hand Side of the equation

x = 2100 ÷ 105

Performing division on Right Hand Side of the equation

x = 20

Thus, average speed with old trainer was 20 mph.

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SOLUTION

Consider the image given below.

From the image above,

To find the measures of each angle, we need to obtain the value of small x in the diagram.

Applying the rule: Sum of angle in a triangle is 180 degrees

Then substitute the given expression, we have

Collect like terms and add

Divide both sides by 6, we have

hence, x=30

Then substitute the value of x to obtain the measure of each angles.

Since the triangle is an issoceles triangle, then

Hence

Therefore

Answer : ∠V= 28°, ∠W=28°, ∠X=124°

Based on the linear relationship between the ticket numbers and the total cost, the cost of one ticket can be found to be A. $10.50

First, find the rate of change in ticket pricing assuming the number of tickets is x and the total cost is y.

The rate of change is:

= Change in y / Change in x

= (67.50 - 46.50) / (5 - 3)

= $10.50

Then find the y-intercept:

y = Slope(x) + y-intercept

67.50 = 10.50(5) + y-intercept

y-intercept  = 67.50 - 52.50

y-intercept = 15

Linear equation is:

Total cost = Rate of change (Tickets) + y-intercept

A single ticket would cost $10.50 which is the rate of change.

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The required rate of change and slope of the given relationship is $10.50.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The slope for the linear function is given as,
m = (y₂ - y₁) /  (x₂ - x₁)

From the table substitute the value in the above equation,
m = [67.50-46.50]/[5-3]
m = 21 / 2
m = 10.50

Thus, the required rate of change and slope of the given relationship is $10.50.

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Let the total number students be s. Then

s = 3 + 5 + 2= 10

x | Number of students(n) | Pr(x) | xPr(x)

---------------------------------------------------------------------------------

76 | 3 | 0.3 | 22.8

---------------------------------------------------------------------------------

79 | 5 | 0.5 | 39.5

--------------------------------------------------------------------------------

175 | 2 | 0.2 | 35

--------------------------------------------------------------------------------

Therefore, the expected value of x is 97.3

Answer:

The measures of this complementary angles is:

45°

Step-by-step explanation:

Complementary angles sum 90°

∡A + ∡B= 90°

∡A = ∡B

Then:

∡A + ∡A = 90°

2∡A = 90°

∡A = 90/2

∡A = 45°

∡B = 45°

Answer:

Assuming that the interest Is paid out yearly After one year he would have $5550 After 3 years he would have $6838.16 After 5 years he would have $8425.29

The value of question are 65+[tex]\underline{115}[/tex]=180, [tex]11x+\underline{48}=180^o[/tex], [tex]11x=\underline{132}[/tex] and [tex]x=\underline{12}[/tex].

In the given question we have to find the value of missing term.

(1) 65+......=180

(2) 11x+.......=180

(3) 11x=.........

(4) x=........

To solve this question we have to use some theorem.

Firstly solving the first question.

As we know that the angle of straight line is 180[tex]^o.[/tex]

So from the diagram

[tex]65+z=180^o[/tex]

Subtract 65 on both side

[tex]65+z-65=180^o-65[/tex]

[tex]z=115[/tex]

Hence, 65+[tex]\underline{115}[/tex]=180.

Now finding the value of second question.

Using Alternate Exterior Angles Theorem

According to theorem the angle beside 11x - 17 is 65.

As we know that the angle of straight line is 180[tex]^o.[/tex]

So  11x-17+65=180[tex]^o.[/tex]

Simplifying

So [tex]11x+\underline{48}=180^o[/tex]

Now finding the value of third question.

From the second question answer we get [tex]11x+{48}=180^o[/tex]

Now solving this equation to find the value of 11x

Subtract 48 on both side

[tex]11x+{48}-48=180^o-48[/tex]

[tex]11x=132[/tex]

Hence, [tex]11x=\underline{132}[/tex]

Now solving the fourth question.

To find the value of fourth question we further simplify the answer of third question.

[tex]11x=132[/tex]

Divide by 11 on both side

[tex]\frac{11}{11}x=\frac{132}{11}[/tex]

[tex]x=12[/tex]

Hence, [tex]x=\underline{12}[/tex]

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ANSWER

-4.5

EXPLANATION

We want to find the opposite of the number 4.5

The opposite of a number is the number that is the same distance from 0 on the number line but on the other side.

So, if the number is on the right hand side, its opposite is on the left hand side.

In simpler terms, the opposite of a number is the negative of a number.

So, the opposite of 4.5 is -4.5.

Answer:

C. 1/2

Hope this helps!

[tex]\boxed{\boldsymbol{\sf{5\frac{1}{3}\times4\frac{5}{6} }}}[/tex]

Multiply 5 and 3 to get 15.

[tex]\boxed{\boldsymbol{\sf{\dfrac{15+1}{3}-\left(\frac{4\times6+5}{6}\right) }}}\boldsymbol{\longmapsto \ Add \ [15+1]}[/tex]

[tex]\boxed{\boldsymbol{\sf{\dfrac{16}{3}-\left(\frac{4\times6+5}{6}\right) }}}\boldsymbol{\longmapsto \ Multiply \ [4*6+5]}[/tex]

[tex]\boxed{\boldsymbol{\sf{\dfrac{16}{3}-\left(\frac{29}{6}\right) }}}[/tex]

Convert fractions prior to fractions with equal denominators.

[tex]\boxed{\boldsymbol{\sf{\frac{32}{6}-\dfrac{29}{6}=\frac{32-29}{6}=\frac{3}{6}=\dfrac{3\div3}{6\div3}=\frac{1}{2} }}}[/tex]

The number of cups of bananas is represented by x

The number of cups of strawberries is represented by y

Note that:

27/5 cups of strawberry is used for 27/25 cups of banana

1 cup of strawberry is used for x cups of banana

x = 27/25 ÷ 27/5

x = 27/25 x 5/27

x = 1/5

1/5 cups of banana is used for 1 cup of strawberry

Comparing the values of x with values of y in the table and writing the relationship in the form y = kx:

y = 5x

where k = 5

The constant of proportionality = 5

Solution

For this case we can solve the problem with the following operation:

And rounded the answer we got 3.25 ft

16.24*100 = 1624

5*100 = 500

And we can do this:

1624/500 = 812/250 = 406/125

003

_____

125 / 406

-0

____

-40

-0

____

406

-375

_____

31

Answer:1/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Slopes of parallel lines are the same. ( [tex]m_{1}[/tex] = [tex]m_{2}[/tex] )

Slopes of two perpendicular lines are opposite reciprocals. ( [tex]m_{1}[/tex] × [tex]m_{2}[/tex] = - 1 )

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

~~~~~~~~~~~~~

(9, 9)

(6, 1)

[tex]m_{m}[/tex] = [tex]\frac{1-9}{6-9}[/tex] = [tex]\frac{8}{3}[/tex]

(10, 7)

(1, 15)

[tex]m_{n}[/tex] = [tex]\frac{15-7}{1-10}[/tex] = - [tex]\frac{8}{9}[/tex]

Lines m and n neither parallel, nor perpendicular.

The graph that is hardest to write the transformation using algebraic notation is the second top graph counting from left to right

A graph is a pictorial representation of data

A transformation is a movement that can be represented in a cartesian plane.

There several types of movement involved in transformation, some of them are:

The first top graph counting from the left is a translation to the left.

The first graph at the bottom counting from the left is a translation downwards

The next bottom graph is reflection along x axis and translation downwards

The most difficult which is the second at the top counting from left involves dilation.

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x=27

I think it's because if 3 is to 2 then 18+9=27. which means 27 is to 18.

Using the Pythagorean Theorem formula, the measurement of the unknown side (base) is 12 units.

According to the Pythagorean Theorem formula, c² = √a²+b², where c = hypotenuse, a = perpendicular, and b = base.

The hypotenuse is the longest side of a right triangle.

The shortest side is the perpendicular (adjacent side) while the other side is the base (opposite side).

Since the hypotenuse is given as equal to the square root of perpendicular squared and the base squared, we can compute the base, unknown side, using the following Pythagorean Theorem formula.

c² = √a²+b²

The perpendicular (shortest side) of a right triangle = 5

The hypotenuse (longest side) = 13

c² = √a²+b²

169 = √5²+b²

169 = √25 + b²

The base (unknown side):

b² = 169 - 25

b² = 144

The square root of √144 = 12

b = 12

Thus, the unknown side of the right triangle is the base, measuring 12 units.

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The length of the unknown side is 12 units, which is the base of the right triangle.

The right triangle's perpendicular (shortest side) = 5 units

The right triangle's hypotenuse (longest side) = 13 units

According to the Pythagorean Theorem,

H² = P² + B², Where H = hypotenuse, P = perpendicular, and B = base.

As per the given question, here H = 13 and P = 5

Substitute the values of H = 13 and P = 5 in the Pythagorean Theorem,

(13)² = (5)²+ B²

169 = 25 + B²

B² = 169 - 25

B² = 144

B = √144

B = 12 units

Therefore, the length of the unknown side is 12 units,

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Ramones’s Chemistry test was much better as it has higher Z-Score than history

For History test, Test score (x) = 40

Mean (μₓ) = 30, Standard deviation (σₓ) = 10

For Chemistry test, Test score (Y) = 40

Mean (μ) =30, Standard deviation (σ) =5

Ramones’s Z-score for History test is given by,

Z-Score = (x-μₓ)/σₓ =(40-30)/10 = 1

Ramones’s Z-score for chemistry test is given by,

Z-Score = (y-μ)/σ =(40-30)/5 = 2

Thus, Ramones’s Chemistry test was much better, because Chemistry test has higher z-score.

Difference in the mean score (α) =μₓ -μ =0

Difference in Z-Score= Z- Zₓ =1

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Answer:15 twice

Step-by-step explanation:

Part 1.

Since we have the equation

the equations which can be used to approximate the solutions are:

Part 2.

Let's make the graph of the 2 equations. The graph is

The approximate solution is given by the intersection point of the 2 graphs, which is the point ( 0.957 , 1.425). Then x-value corresponding to the solution is x= 0.957.

Answer:

P+380=312

Step-by-step explanation:

The total, meaning addtion, and equals meaning equals sign. P+380=312

The sub-atomic particles located in the nucleus of an He^4 atom are 2 protons and 2 neutrons.

Helium belongs to double-electronic species, unlike alpha-particles which are devoid of electrons. The two electrons of Helium are accommodated in the 1s orbital, outside the nucleus.

Nucleons are always present in the nucleus of various elements. Nucleons collectively refer to protons and neutrons. In this case, 2 protons and 2 neutrons reside in the nucleus.

The number of protons is always equal to the atomic number of the element. The number of neutrons is always equal to the difference between the mass number and the atomic number of the element.

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Null hypothesis, [tex]H_{0}[/tex] P.1 = P2 (The proportion of tablets owned by men and women are equal.)

Alternative hypothesis,[tex]H_{0}[/tex]  P1[tex]\neq[/tex]P2 (The proportion of tablets owned by men and women are not equal.)

Sample proportion for men who own tablets  ≈0.433

Sample proportion for women who own tablets ≈0.466

p value of the test  is 0.3320.

Test whether the survey results provide evidence of a difference in the proportion owning a tablet between men and women.

Let p, be the proportion of all men who own tablets and p, be the proportion of all women who own tablets.

Null hypothesis, [tex]H_{0}[/tex] P.1 = P2 (The proportion of tablets owned by men and women are equal.)

Alternative hypothesis,[tex]H_{0}[/tex]  P1[tex]\neq[/tex]P2 (The proportion of tablets owned by men and women are not equal.)

The notations for the sample statistic are  p p1 p2

Pooled proportion p = [tex]\frac{x_{1}+x_{2} }{n_{1}+n_{2} }[/tex]= 197+235/455+504

                                               ≈ 0.45

Sample proportion for men who own tablets,

                               p1 = [tex]\frac{x_{1} }{n_{1} }[/tex]= 197/455

                                           ≈0.433

Sample proportion for women who own tablets,

                              p2 = [tex]\frac{x_{2} }{n_{2} }[/tex] = 235/506

                                          ≈0.466

Since p1<p2  women group has higher tablet ownership.

Sample statistic, p1-p2

                          = 0.433-0.466

p value of the test  is 0.3320.

In mathematics, statistics deals with the study of surveys and reports of numerical data. For questions, we need to define a hypothesis. In general, there are two types of hypotheses. One is the null hypothesis and the other is the alternative hypothesis.

In probability and statistics, the null hypothesis is the general statement or default state that  zero  or nothing will happen. For example, there is no association between groups or no association between two measured events. Here, a hypothesis is generally assumed to be true until  other evidence is presented to disprove the hypothesis.

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Answer:

an=7/2

Step-by-step explanation:

an=a(n-1)+15

given a1=8

multiply; a(n-1)

a(n-1)=an-a1

enter an-a1 in the equation

an=an-8+15

an=an+7

collect like terms;

an-an=(-7)

divide by negative both side

an-an/(-)=(-(-7)

2an=7

divide by 2 both side

2an/2=7/2

therefore the answer is an=7/2

Answer: [tex]\angle 2=83^{\circ}[/tex]

Step-by-step explanation:

By the alternate interior angles theorem,

[tex]5x+2=3x+40\\\\2x=38\\\\x=19[/tex]

This means that [tex]5x+2=3x+40=97[/tex].

Since [tex]\angle 2[/tex] and the [tex]97^{\circ}[/tex] form a linear pair, they add to 180 degrees. So, [tex]\angle 2=83^{\circ}[/tex]

The line that is perpendicular to the equation of a line given is y = -2x + 3

The equation of a perpendicular line can be found using the slope of the line first and then applying the points through which the line passes through.

For the given question, the equation of the line is y = 1/2x + 11 and the point is (6, -9).

To find an equation of a line;

The equation of the line can be modified into y - y₁ = m(x - x₁)

substituting the values into the equation above gives y = -2x + 3

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Given data:

The given function is f(x)=3450(1.04)^(x+1).

The

        Expressions that are equivalent do the same thing even when they have distinct appearances. When we enter the same value for the variable, two algebraic expressions that are equivalent have the same value.

          X-terms and constants should be combined with any other like terms on either side of the equation. Put the terms in the same order, with the x-term usually coming before the constants. The two phrases are equal if and only if each of their terms is the same.

        Consequently, (f + g)(4) is equal to f(4) + g(4)

         If two systems of equations have the same solution, they are equivalent (s).

Simplify

(71 . 81) 4 = 287.24

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We will simply subtract 3 3/8 from 6 1/2

That is;

6 1/2 - 3 3/8

= 3 4-3/8

=3 1/8

The amount of berry left is more than 3 cups, hence Ryan have enough very stuff to also make a pie