Suppose you are going to roll a fair; six-sided die J number of times and record the proportion of times that an even number (2. 4.or 6) is showing: Your first experiment used 60 rolls. but in your second experiment you used 240 rolls. For the second experiment, how is the center and spread of the sampling distribution different from the first experiment? Bolh the center and !he sprcad wIll decrease: Thc cenler will remain lhc sainc: bul thc sprcad will decrease Bolh the cenler and the spread wlll renain thic: salne The cenler will remain the >alne; bul tlic sprcad wvill lncicase:

Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12

Answer:

(25+16)-(13*2)=31

41-26=31

15=31

31/15

2.06 is your answer ☺️

The value of 3¾ft in yards would be = 1 6/25 yard

A mixed number is the type of number that is made up of three parts such as the whole number, a numerator and a denominator.

To convert to yards;

1 ft = 0.33 yard

3¾ = X yards

make x yards the subject of formula;

X yards = 3¾ × 0.33

X yards = 3.75×0.33

X yards = 1.24 yards

X yards in mixed number= 124/100 = 31/25 = 1 6/25 yard.

Note that the final value which is 124/100 is reduce to the lower figure by dividing through with 4 to arrive at the mixed number 1⁶/25

Learn more about mixed numbers here:

https://brainly.com/question/21610929

#SPJ1

Let the breadth of the cuboid be x

and length be 2x

and height is given 4 cm

So,

\( \boxed{ \purple{\mathfrak{ Volume = l \times b \times h}}}\)

i) Length and breadth:

\( \blue{\sf Volume = 2x \times x \times 4} \)

\( \blue{\sf 288 = 2x \times x \times 4} \)

\( \blue{\sf 288 = {8x}^{2} } \)

\( \blue{\sf 36 = {x}^{2} } \)

\( \blue{\sf \sqrt{36} = {x} } \)

\( \blue{\sf x = 6} \)

\( \boxed{ \green{\mathfrak{Length = 2x \implies 2×6 \implies 12\:cm}}} \\ \boxed{ \green{\mathfrak{Breadth = x \implies 6 cm}}}\)

ii) Its surface area

We now have all the dimensions i.e.

\( \pink { \tt \: Surface \: area = \: 2(lb + bh + hl) }\)

\( \orange { \sf \:S.A. = 2(12 \times 6 + 6 \times 4 + 12 \times 4) }\)

\( \orange { \sf \:S.A. = 2(72+ 24 + 48) }\)

\( \orange { \sf \:S.A. = 2(144) }\)

\(\red { \sf \:S.A. = 288 {cm}^{2} }\)

\( \large{ \pink{ \mathfrak{ \underline{ \underline{ \overline{ \overline{ \purple{Hope \: it \: helps \: you}}}}}}}}\)

Answer:

slope = 38x

y intercept = 6

Step-by-step explanation:

Rewrite the equation ins lope intercept form by:

adding 6 to both sides(cancelling it out on the left)

y = 38x+ 6

*brainliest plz

Answer:

The slope is 38 and the y-intercept is 6

Step-by-step explanation:

y−6=38x

=y=38x+6

The percent increase of the profit is 15%

In this question, the figures are given as

Profit in March = £2750

Profit in April = £3162.50

The percentage of the increase of the profit is then calculated using the following equation

Increase percentage = (Profit in April - Profit in March)/Profit in March * 100%

Substitute the known values in the above equation, so, we have the following representation

Increase percentage = (3162.50 - 2750)/2750 * 100%

Evaluate

Increase percentage = 15%

Hence, the increase in percentage is 15%

Read more about percentage at

brainly.com/question/15056889

#SPJ1

The employer will charge $55 for 5 hours

The first step is to calculate the amount charged for an hour

22= 2

x= 1

cross multiply

2x= 22

x= 22/2

x= 11

The amount charged for 5 hours can be calculated as follows

11= 1

y= 5

cross multiply

y= 55

Hence $55 will be charged for 5 hours

Read more on hours here

https://brainly.com/question/11283824

#SPJ1

Answer:

46

Step-by-step explanation:

AE = EC

6x-55 = 3x-16

so 3x = 39

x = 13

6x-55= 23

3x-16= 23

so DB =AE + EC = 46

The surface area of a cylinder whose radius is 1.2 mm and whose height is 2 mm is given as follows:

24.1 mm².

The surface area of a cylinder of radius r and height h is given by the equation presented as follows:

S = 2πrh + 2πr².

The parameter values for this problem are given as follows:

r = 1.2, h = 2.

As the units are in mm, the surface area in mm² is obtained as follows:

S = 2π x 1.2 x 2 + 2π x 1.2²

S = 24.1 mm².

More can be learned about the surface area of a cylinder at https://brainly.com/question/27440983

#SPJ1

Answer:

x = -2

Step-by-step explanation:

Given angles are,

→ 9x + 96°

→ 7x + 92°

Now we have to,

→ Find the required value of x.

We know that,

→ Vertically opposite angles are equal.

Forming the equation,

→ 9x + 96° = 7x + 92°

Then the value of x will be,

→ 9x + 96° = 7x + 92°

→ 9x - 7x = 92° - 96°

→ 2x = -4

→ x = -4/2

→ [ x = -2 ]

Hence, the value of x is -2.

The expression |-4| has a value of 4 when evaluated

From the question, we have the following parameters that can be used in our computation:

|-4|

The above expression is an absolute expression

So, the solution is the positive value of the expression in bracket

Evaluate the expressions in the brackets

So, we have the following representation

|-4| = 4

Hence, the expression has a value of 4

Read more about expression at

brainly.com/question/15775046

#SPJ1

Answer:

The amplitude is 3

Step-by-step explanation:

Given

The right function is:

\(y = 3 \cos(\frac{1}{2}x)\)

Required

The amplitude

A sine function is represented as:

\(y =A \cos(Bx + C) + D\)

Where

\(Amplitude = |A|\)

By comparing:

\(y = 3 \cos(\frac{1}{2}x)\) and \(y =A \cos(Bx + C) + D\)

\(A= 3\)

So:

\(Amplitude = |3|\)

\(Amplitude = 3\)

Hence, the amplitude is 3

Answer:

\(108\pi\) inches³

Step-by-step explanation:

Hi there!

\(V=\frac{1}{3} \pi r^2h\) where r is the radius and h is the height

Plug in the given values (r=6, h=9)

\(V=\frac{1}{3} \pi (6)^2(9)\\V=\frac{1}{3} \pi (36)(9)\\V=\frac{1}{3} \pi (324)\\V=108\pi\)

Therefore, the volume of the cone is \(108\pi\) inches³.

I hope this helps!

Answer:

Let's assume that the total number of students in the school is "x". We can create a proportion to estimate how many students would choose the aquarium based on the given information:

Number of students who chose aquarium / Total number of students in the school = Percentage of students who chose aquarium / 100

We can plug in the values we know:

80 / x = p / 100

where "p" is the percentage of students who would choose the aquarium if the entire school were surveyed.

We can solve for "x" by cross-multiplying and simplifying:

8000 = px

x = 8000 / p

Now, we need to estimate the value of "p". We can do this by finding the average percentage of students who chose the aquarium, science center, planetarium, and farm:

(80 + 60 + 30 + 40) / x = (210 / x) = Average percentage of students who chose an attraction

This tells us that, on average, 210 out of every "x" students would choose one of the attractions. We can estimate that a similar percentage of the entire school would choose the aquarium:

p / 100 = 80 / 210

p = 38.1

So, we can estimate that approximately 38.1% of the students in the whole school would choose the aquarium. To find the estimated number of students who would choose the aquarium, we can plug in this value for "p" in our original proportion:

80 / x = 38.1 / 100

Cross-multiplying and solving for "x", we get:

x = 209.71

Rounding to the nearest whole number, we can estimate that approximately 210 students in the whole school would choose the aquarium.

Step-by-step explanation:

Answer:

The teacher surveyed a total of:

80 + 60 + 30 + 40 = 210 students.

If we assume that the sample of 210 students surveyed is representative of the entire population of 1000 students at Lake Middle School, we can use the relative frequency of students choosing the aquarium in the sample to estimate the number of students in the whole school who would choose the aquarium.

The relative frequency of students choosing the aquarium in the sample is:

80/210 = 0.38

This means that approximately 38% of the students in the sample chose the aquarium.

To estimate the number of students in the whole school who would choose the aquarium, we can multiply the relative frequency by the total number of students at the school:

0.38 x 1000 = 380

Therefore, the teacher can estimate that approximately 380 students out of 1000 at Lake Middle School would choose the aquarium for a field trip.

i think it B

okkkkkkkkkkkkkkkkkkk

Answer:

The answer is C

I hope this helped.

Answer:

5x+3>23

Step-by-step explanation:

x \(\geq\)4

Answer:

Table C is the answer

Step-by-step explanation:

Step-by-step explanation:

you should have measured the lengths of the sides and added that information here to the picture.

because we here cannot measure this from a picture that is inclined and has no size scale.

I can give you a hint how to get the angles, when you have all 3 sides :

start with the extended Pythagoras for non right-angled triangles:

c² = a² + b² - 2ab×cos(C)

with c being the side opposite of the angle you are aiming for.

then

2ab×cos(C) = a² + b² - c²

cos(C) = (a² + b² - c²)/(2ab)

for example, to get the angle at T, its opposite side is SE.

cos(T) = (ST² + ET² - SE²)/(2×ST×ET)

you can do the same thing for all 3 angles (you need to always pay attention to what sides you have to use in what combination for the angle).

or you can switch after getting the first angle to the laser of sine :

a/sin(A) = b/sin(B) = c/sin(C)

where the sides and the disposing angles are always opposite of each other.

for your triangle that looks like

ET/sin(S) = ST/sin(E) = SE/sin(T)

from there (once you have one angle via the Pythagoras approach) you get all other angles.

The value of x for the given expression, x + 20 ≤ -10 will be -30. The value of x is obtained by applying the arithmetic operation.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

For the inequality, we have to apply the arithmetic operation in which we do the multiplication of x and apply the inequality for the given data.

It is given that the expression is,

x + 20 ≤ -10

Rearrange the expression as

x≤ -10-20

x≤ -30

Thus, the value of x for the given expression, x + 20 ≤ -10 will be -30. The value of x is obtained by applying the arithmetic operation.

Learn more about inequality here:

brainly.com/question/19491153

#SPJ1

Answer:

16.8-18.6= -1.8

Step-by-step explanation:

It must be negative

Answer:

D not here

Step-by-step explanation:

A-2 is not reasonable as it is not possible

C- bot possible

B- maybe

D- most reasonable

The number of days which it would take 1000 people to sign the petition as required in the task content is; 4.35 days.

It follows from the task content that the number of days which it would take Jan to get 1000 signatures on the petition be determined.

Since it is given in the task content that 230 people sign the petition each day.

It therefore follows from proportion that the number of days needed for 1000 people to sign the petition is;

= 1000/230

= 4.3478 days.

Hence, the number of days which it would take 1000 people to sign the petition is approximately; 4.35 days.

Read more on division;

https://brainly.com/question/870035

#SPJ1

Answer:

4. The quotient of 0 and a is undefined.

Step-by-step explanation:

Let's examine each statement to see which is true or untrue.

✔️Statement 1:

a is a negative number. b is also a negative number. A negative number dividing another negative number would give us a positive number. That is the quotient of a and b would be positive.

Statement 1 is true.

✔️Statement 2:

Dividing 0 by any number would always give us 0. Therefore the quotient of 0 and c would be 0.

Statement 2 is correct.

✔️Statement 3:

c is a positive number. b is negative number. Positive divided by negative = negative.

Statement 3 is correct.

✔️Statement 4:

Dividing 0 by any number would give us a quotient of 0.

Statement 4 is incorrect. It is incorrect because ⁰/a = 0. But a/0 = undefined.

Answer: 19.1 is correct

Step-by-step explanation:

where a and c are the lengths of two sides of the triangle and C is the angle between them. To use this formula, we need to find side b and angle A.

We can use the Law of Cosines to find side b:

Answer:

Step-by-step explanation:

21 - 6x > 34

-6x > 13

x < -13/6

Answer:

\(\dfrac{17}{72}\)

Step-by-step explanation:

From the given information:

Total number of students, \(n(U)=72\)

The choices were: Chess(C), Swimming(S), and Football(F).

Everyone liked at least one sport except 7 kids, \(n( C \cup F \cup S)'=7\)

Chess is not an active sport; and

10 children liked Chess only, \(n( C \cap F' \cap S')=10\)

The probability that a randomly-chosen child from this group does not like active kinds of sport is the Probability that a student plays chess only or like no kind of sport at all.

\(P( C \cup F \cup S)'+P(C \cap F' \cap S')=\dfrac{n( C \cup F \cup S)'+n(C \cap F' \cap S')}{n(U)} \\=\dfrac{10+7}{72} \\=\dfrac{17}{72}\)

Step-by-step explanation:

Given equation

y = x + 3

Comparing with y = mx + c so

Slope (m) = 1

y-intercept (c) = 3

Hope it will help :)❤

Answer:

I don’t know if this is right, but I hope this helps!

Step-by-step explanation:

The scale factor that was used to convert triangle ABC into the image in A ' B ' C ' is 1 / 2.

To find the scale factor, you need to find the length of a side of triangle ABC and then the length of the corresponding side in A ' B ' C '.

The side length we will pick is AB which is:

= 6 - 2

= 4 units

The side length of the other triangle is A' B' :

= 3 - 1

= 2 units

The scale factor is:

= 2 / 4

= 1 / 2

Find out more on scale factors at https://brainly.com/question/2826496

#SPJ1

The 2 n+1 airports none of the airplane heading towards.

Total airports =2 n+1, n \(\in \mathbb{N}$\) Distance b/ w two airports are different If n=1 then 3 airports If from 1st airport, airplane departed and heading towards 2nd and from 2nd heading towards \($\mathrm{I}^{\text {st }}$\) airport put in 1st airport, none of the airplanes are heading towards.

similarly, if n=2, total airports =5 then also there is an airport which none of the airplanes an heading towards -

By mathematical induction then there is also an then there is also an airport =21-1 which none of the airplanes are heading towards.

similarly - for 2 n+1 airports none of the airplane heading towards.

Therefore, for 2 n+1 airports none of the airplane heading towards.

For more such questions on induction method

https://brainly.com/question/5045190

#SPJ4

Answer:

Step-by-step explanation:

Let the first number be 'a' and the second number be 'b'. If the sum of the first and twice the second is 400 then;

a+2b = 400 ....

From the equation above, a = 400 - 2b ... 2

If the product of the numbers is a maximum then;

ab = (400-2b)b

let f(b) be the product of the function.

f(b) = (400-2b)b

f(b) = 400b-2b²

For the product to be at the maximum then f'(b) must be equal to zero i.e f'(b) = 0

f'(b)= 400-4b = 0

400-4b = 0

400 = 4b

b = 400/4

b = 100

Substituting b= 100 into the equation a = 400 - 2b to get a;

a = 400 - 2(100)

a = 400 - 200

a = 200

The two positive integers are 100 and 200.