suppose a population has a mean of 7 for some characteristic of interest and a standard deviation of 9.6. a sample is drawn from this population of size 64. expressing your answer to one decimal place, what is the standard error of the mean?

If sara takes two random sweets. The probability that the two sweets will not be the same is :111/190.

Probability of getting two of each sweet:

P( Liquorice) = (12/20)×(11/19)

P (Liquorice) =132/380

P (mints) =(5/20)×(4/19)

P (mints)  =20/380

P (Humbugs) =(3/20)×(2/19)

P (Humbugs) =6/380

Probability that two sweets will be the same

P(same) =132/380+20/380+6/380

P(same) =158/380

Hence,

Probability that two sweets will not be the same

P(not same) = 1- (158/380)

P(not same) =380 -158 /380

P(not same) = 222 /380

P(not same) =111 /190

Therefore the probability is 111/190.

Learn more about probability here:https://brainly.com/question/24756209

#SPJ1

The required equation of slope is y = x/2 + 6

Given : y = 3x + 6

this is of the form y = mx + c

thus on comparing we get

the slope or m = 3

And the y intercept = 0, 6

It is also given that we have to find the equation of the slope which passes through the point ( -2, 5 )

thus the two points are:

( -2, 5 )  and ( 0,6 )

Thus the slope or m = y2 - y1/ x2 - x1

=> m = 6 - 5 / - ( -2 )

m = 1/ 2

Thus the equation of the slope is

y - y₁ = m ( x - x₁ )

₁Substituting the value of m from above we get

y - 5 = 1/2 ( x + 2 )

this implies 2y - 10 = x + 2

x - 2y = - 12

or we can also write this as

y = x/2 + 6

Refer to the graph given below for further understanding.

To know more about graph and slope you may visit the link which is mentioned below;

https://brainly.com/question/13496015

#SPJ13

The vertex of the equation given as .f(x) = |2x + 3| is (-3, 0)

The vertex of a function or an equation is the minimum or the maximum point on the function

From the question, we have the equation of the function to be

f(x) = |2x + 3|

The above function is an absolute value function

An absolute value function is represented as

f(x) = a|x - h| + k

Where the vertex is represented as

Vertex = (h, k)

By definition, a graph that has a vertex would have an obvious maximum or minimum point on it

By comparing the equations f(x) = a|x - h| + k and f(x) = |2x + 3| to determine the vertex, we have

(h, k) = (-3, 0)

This means that

Vertex = (-3, 0)

Hence, the vertex of the equation is (-3, 0)

Read more about vertex at

https://brainly.com/question/15709421

#SPJ1

The value of X for the given equation is X = 3/4.

A percentage is the equality of two ratios, while a ratio is the divisional comparison of two numbers. As well as being written as x: y or x/y, ratios are sometimes expressed as x is to y.

A proportional equation declares that two ratios are similar on a comparative basis. A ratio means that x is to y as z is to w and is represented as x: y: z: w. Since w and y are not equal in this situation, x/y = z/w.

The given equation is

1/2 : 2/3 = X:1

We can rewrite it as

(1/2)/ (2/3) = X

X = 1/2 × 3/2

X= 3/4

To know more about ratio, visit:

https://brainly.com/question/21416852

#SPJ1

Answer:

the answer Is 6 .........

Probability that the professional other than Tokyo, Kyoto or Osaka is 6803/13839.

Total number of professional train pushers who are diagnosed with carpal tunnel is 13839

Number such professional from Tokyo = 2551

Number such professional from Osaka = 3049

Number such professional from Kyoto = 1436

So, number such professional from other than these three cities = 13839 - (2551+3049+1436) = 6803

Hence the probability that the professional other than Tokyo, Kyoto or Osaka is = 6803/13839

To know more about Probability refer to:

https://brainly.com/question/24756209

#SPJ4

Answer:

I hope this is right

TG = 34 TG=34  inches

From the figure

            PQR is a triangle

            PS, QT are medians of the triangle  

            G is the centroid

Step 1: Calculate the segment of the median (TG = ? )

              We know that

              Each median is divided into segments with a 2:1 ratio by the triangle centroid.

                    \therefore \frac{TG}{GQ} = \frac{2}{1} ∴

GQ/TG = 1/2

​

                          TG = 2 GQ TG=2GQ

                          TG = 2 * 17 TG=2∗17

                          TG = 34 TG=34

               Hence, segment of the median  TG = 34  inches

Using Simplification , all the equations that are equivalent to (6x+2)/3 = 2 - (3x+14)  are (6x+2)/3 = -3x - 12 and  6x + 2 = -9x - 36 , the correct option is  (a) and (d) .

In the question ,

it is given that

the equation is (6x+2)/3 = 2 - (3x+14)

solving the brackets on the right side of the equation ,

(6x+2)/3 = 2 - 3x - 14

(6x+2)/3 = -3x - 12                     ....option(a)

On Cross Multiplying , we get

6x + 2 = 3(-3x - 12)

6x + 2 = -9x - 36                      ....option(d)

Therefore , all the equations that are equivalent to (6x+2)/3 = 2 - (3x+14)  are (6x+2)/3 = -3x - 12 and  6x + 2 = -9x - 36  .

The given question is incomplete , the complete question is

Using Simplification , Select all equations that are equivalent to

(6x+2)/3 = 2 - (3x+14)

(a) (6x+2)/3 = -3x-12

(b) (6x+2) = 2 - (3x+14)

(c) 2x + 2/3 = 2 - (3x+14)

(d) 6x+2 = -9x-36

Learn more about Equations here

https://brainly.com/question/28735218

#SPJ1

Answer:

The sides of the triangle would be 14, 16, and 18.

Step-by-step explanation:

Find more information about this question here at brainly:

https://brainly.in/question/5409911

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

Let the speed of the small plane be 'R'.

Let the speed of the wind be 'S'.

Plane's time against wind = 2 hours and 10 minutes  = 13/6 hours.

Plane's time with wind = 1 hour and 50 minutes = 11/6 hours

Use formula;

Distance =  speed x time

Against the wind:

858 = (13/6) (R-S)  = (13/6) R - (13/6)S

With wind:

858 = (11/6)(R + S) = (11/6)R + (11/6)S  

Multiplies each by 6.

5148 = 13R - 13S

5148 = 11R + 11S

Use elimination method

56628 = 143R - 143S  (multiplies by 11)

66924 = 143R + 143S  (multiplies by 13)

Further solving;

123552 = 276R

R = 432 miles/ hr. (speed of small plane )

And,  S = 36 miles/ hr. (speed of wind)

To know more about the speed and time, here

https://brainly.com/question/13262646

#SPJ4

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

Let's express P (principle) in terms of I, R and T

[tex]\qquad \sf  \dashrightarrow \: I= \dfrac{PRT}{100} [/tex]

[tex]\qquad \sf  \dashrightarrow \: PRT = I \sdot 100[/tex]

[tex]\qquad \sf  \dashrightarrow \: P = \dfrac{I \sdot 100}{RT} [/tex]

and that's it ~

P can be expressed in terms of I, R, T as P=100×I / (R×T)

Given equation

I=PRT/100

100 × I = PRT

100 × I / RT = P

P = 100 × I / RT

This formula is used to calculate Simple Interest, where P= Principal, I= Intrest to be Calculated. R= Annual rate of interest, T= Time (in years). Here one will shift the 100 from the denominator and multiply with the I next we will move the rate and time from the numerator to the denominator. The equation we now get will be in terms of I, R, and T and one can find the Principal using this equation.

I hope this answer helps.

To learn more about equations and values,

https://brainly.com/question/10413253

The ratio when Sophia earned $36 at her job when she worked for 4 hours is 1:9.

Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).

From the information, Sophia earned $36 at her job when she worked for 4 hours.

The equivalent ratio to illustrate the information will be:

= 4 / 36

= 1/9

= 1:9

Note that the coordinates point weren't given in the question.

Learn more about ratio on:

brainly.com/question/2328454

#SPJ1

Writing only p = 5 is a mistake since p = 0 is also a solution of the  quadratic equation

Given the quadratic equation: p² −5p = 0

p² −5p = 0

p(p−5) = 0

p = 0 or p−5=0    

p = 0 or p = 5

Jada made mistake in the  3rd step instead of him to break the equation into two parts and then equate them to zero i.e he neglected the part where p = 0 and only make use of p-5 = 0

Since the equation has two solutions, p = 0 and p = -5. Therefore, writing only p = 5 is a mistake because when p = 0 is substituted into p² −5p = 0, it also gives 0  

Learn more about quadratic equations on:

https://brainly.com/question/1214333

#SPJ1

Answer:

These fractions are equivalent, with 4/7 being the simplest form of both.

Step-by-step explanation:

8/14 can be simplified to 4/7 also by dividing both sides by two :)

Answer:

He subtracted a term of [tex]2x[/tex] from both sides of the equation.

Answer:

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

Answer:

Difference = 6 inches

Step-by-step explanation:

Given information,

→ Meg measured the length of some pieces of the wire.

Now we have to,

→ find the difference between the longest and shortest piece of wire.

Then the difference will be,

→ Longest wire - Shortest wire

→ 9 - 3

→ 6 inches

Hence, the difference is 6 inches.

Answer:

5 or (-2,5)

Step-by-step explanation:

|2x-3|<7

2x-3<7

2x=10

x=5

Answer:

x < 5

Step-by-step explanation:

2x - 3 + 3 < 7 + 3

7 + 3 = 10

-3 + 3 = 0

= 2x + 0

= 2x

2x < 10

2x/2 < 10/2

10/2 = 5

2x/2 = 2/2

= x (We assume x = 1)

= 5/1

= 5

Therefore,

x < 5

Hope this helps!

The statements that are a result of corresponding parts of congruent triangles being congruent are:

An isosceles triangle is a type of triangle with two equal sides and angles. The other types of triangle includes;

From the figure;

Sides EFGH are congruent, that is, equal

Since Sides EFGH are congruent, it can not be a rectangle, it is a square.

Triangle FGH and FEH are both isosceles triangle.

Diagonal FH bisects triangle FGH and FEH

So therefore, the isosceles triangle FGH and FEH are congruent and bisected by diagonal FH.

Read more on isosceles triangle:

https://brainly.com/question/1475130

#SPJ1

The probability that more boys than girls are chosen is 0.4731. So option b is correct.

Combination:

The act of combining or the state of being combined. A number of things combined: a combination of ideas. something formed by combining: A chord is a combination of notes. an alliance of persons or parties: a combination in restraint of trade.

Here it is given that there are 18 boys and 19 girls and 5 students are chosen.

We have to find the probability that more boys than girls are chosen.

Probability = [tex]C^{5} _{18}[/tex] + [tex]C^{4}_{18} C^{1} _{19}[/tex] + [tex]C^{3} _{18} C^{2} _{19}[/tex] / [tex]C^{5}x_{37}[/tex]

                  = 8568 + 58140 + 139536 / 435897

                  ≈ 0.4731

Therefore the probability is 0.4731.

To know more about the probability refer to the link given below:

https://brainly.com/question/13604758

#SPJ4

The Piecewise Function be

                      25x                                 when x < 40

y =

                   1000+32(x-40)                   when x > 40

Given, an engineering technician makes $25 an hour for the first 40 hours she works.

and $32 an hour for each hour over 40 hours.

Let the number of hours be x and her total weekly pay in dollars be, y

then the piecewise function,

                      25x                                 when x < 40

y =

                   1000+32(x-40)                   when x > 40

Hence, the piecewise function be

                      25x                                 when x < 40

y =

                   1000+32(x-40)                   when x > 40

Learn more about Functions here https://brainly.com/question/22340031

#SPJ9

The answer to the given question is <0.01.

What is confidence level?

The confidence level is the percentage of times we expect to get near to the same approximate if we run our experiment again or resample the population in the same way. The confidence level is the probability that the null hypothesis is true.

What is p-value?

P-value is the probability of getting the results you did, given that the null hypothesis is true.

When we are conducting a hypothesis testing and we determine the confidence level needed is 99%; then in order to reject the null hypothesis, the p-value needs to be below 0.01 (<0.01).

Learn more about confidence level and p-value at: https://brainly.com/question/15798442

#SPJ4

The factors of the expression (x³ - 6x² + 3x + 10) are (x + 1), (x - 2), and (x - 5).

We are given a mathematical expression. The expression is cubic in nature. We need to find the factors of the algebraic expression. Let the expression be represented by the variable "E". The expression consists of three terms. Hence, the expression is trinomial. The expression is given below.

E = x³ - 6x² + 3x + 10

One of the factors in the expression is already given. The given factor is (x + 1).

Now we will perform the long division method on the expression to break it into the given factor and a quadratic expression.

E = (x + 1)(x² - 7x + 10)

Now we will factorise the quadratic expression.

E = (x + 1)[x² - 2x - 5x + 10]

E = (x + 1)[x(x - 2) - 5(x - 2)]

E = (x + 1)(x - 2)(x - 5)

We cannot simplify and factorise the expression any further.

Hence, the factors of the expression are (x + 1), (x - 2), and (x - 5).

To learn more about factors, visit :

brainly.com/question/2818435

#SPJ1

Eplaination of algebraic rules with equation of line is describe below

Algebraic rules are maths expression of two variable that can be written in the form of equation.

Now we will understand by the equation of line given in the question,

we have Y = mx + c

where y is the intercept on y-axis, m is the slope of line, x is intercept on x-axis, and c is the point where line cuts y-axis.

This equation represent the line which follows algebraic rules.

Graph of equation:

To know more about algebraic rules visit:  

brainly.com/question/29288036

#SPJ1

Answer:

87.08.

850.08 - 763 = 87.08.

Answer:

38%

Step-by-step explanation:

22 ÷ 58 = 0.3793...

Ans × 100 = 37.93%

As a whole number = 38%

Answer:

Length YZ is about 16.2 cm (to the first decimal place)

Step-by-step explanation:

In order to find the lenth YZ we need to know the the Pythagorean theorem which is a²+b²=c² (or leg² + leg² = hypothnose)

For this problem let a = line segment XY, let b = YZ and let your hypothnose (c) to be ZX