?:7 =8:14 and 32:? =12:24

The probability of someone being 5 feet and 4.2 inched tall is 0.2877

Probability:

Probability means the possibility of occurring the specific even across the total number of event.

Given,

100 people where sampled and their heights were recorded, it was discovered the mean height was 5 feet and 6.3 inches with a standard deviation of 3.75 inches.

Here we need to find the the probability of someone being 5 feet and 4.2 inches tall.

From the given details, we know that,

n = 100

mean (ч) = 5 feet and 6.3 inches

standard deviation (σ) = 3.75 inches

We know that the formula to find the probability is,

P = (x - ч)/σ

But here we have used the different measurement for each. So, the first step is convert them into inches.

So,

5 feet and 6.3 inches = 60 + 6.3 inches = 66.3 inches.

Similarly 5 feet and 4.2 inches = 64.2 inches.

So, the probability is,

P (X < 64.2) = (64.2 - 66.3)/3.75

P (X < 64.2) = -0.56

Based on the standard normal table to conclude that:

P (X < 64.2) = -0.56 = 0.2877

Therefore, the probability of someone being 5 feet and 4.2 inches tall is 0.2877.

To know more about Probability here.

https://brainly.com/question/11234923

#SPJ1

Answer: You will need 185 square feet of wallpaper. It will cost you $125.

Step-by-step explanation:

18.5 x 10= 185

185/44= 4.2

4.2 is a little over 4 so you would need 5. You will have extra.

$25 x 5 rolls= $125

Answer:

Flynn stays at the trampoline park for an additional 3 hours.

Step-by-step explanation:

30 - 12 = 18

18 / 6 = 3

As for the "Select the equation that represents the given situation" I don't know what this really means so I didn't do that. Sorry.

Answer:

Step-by-step explanation:

[tex]\displaystyle\\8 > \frac{x}{4}(x+5)-3[/tex]

By combining numerical or algebraic expressions that share a basis, distributing exponents among products and quotients, and simplifying powers of powers, one can exploit the properties of integer exponents to create similar expressions.

Based on the information, it's important to simply transfer the base and exponent to the other side of the fraction line, change the exponent to positive, and you have an analogous expression.

For example, the expression 2/3² can be illustrated to an equivalent expression as:

2/3² = 2 / (3 × 3)

= 2/9

This shows how the exponent has been used to form the new value.

Learn more about integers on:

https://brainly.com/question/17695139

#SPJ1

Answer:

Angle EDC = 180 - 90 - 30 = 60° (sum of angles in triangle add up to 180°)

Angle ADC + angle DCB = 180° (interior angles, AB//CD)

59 + 60 + 30 + angle ECB = 180

Angle ECB = 180 - 59 - 60 - 30 = 31°

The distance that's required to be kept geo either side will be 4.258 inches.

From the information, Foster is centering a photo that is 7 1/5 inches wide on a scrapbook page that is 16 inches wide.

It should be noted that 7 1/2 is the same as 7.5. Therefore,we can subtract and this will be:

= 16 - 7.5

= 8.5

Since we know that the scrapbook is 8.5 inches wider,we will divide the width by 2 to get the distance of either side and this will be:

= 8.5 / 2

= 4.25

Learn more about fractions on:

brainly.com/question/17220365

#SPJ1

Foster is centering a photo that is 7 1/5 inches wide on a scrapbook page that is 16 inches wide. How far from each side go the page did he put the picture?

Answer:

rational

number

Step-by-step explanation:

because any decimal number that repeats forever can be written as a fraction and any number that can be written as a fraction is rational

a number is any value that has no variables

a whole number is a positive value that is not a decimal

an integer is also any whole value

After James adds stamps , the ratio of number of stamps in James's collection to the number of stamps in Roy's collection is 2:3 , the correct option is (D) 2:3  .

In the question ,

it is given that

Number of stamps that James has = 6 stamps

Number of stamps Roy has = 12 stamps

also , James adds 2 stamp to his collection ,

So number of stamps in James collection become = 8 stamps

So the ratio of number of stamps in James's collection to the number of stamps in Roy's collection is given by

= (number of stamps in James's collection)/(umber of stamps in Roy's collection)

Substituting the values , we get

= 8/12

Simplifying , we get

=2/3

Therefore , After James adds stamps , the ratio of number of stamps in James's collection to the number of stamps in Roy's collection is 2:3 , the correct option is (D) 2:3  .

The given question is incomplete , the complete question is

James has 6 stamps in his stamp collection. Roy has 12 stamps in his stamp collection. James adds 2 stamps to his stamp collection. After James adds these stamps, what is the ratio of the number of stamps in James's collection to the number of stamps in Roy’s collection?

(A) 1 : 2

(B) 2 : 1

(C) 3 : 2

(D) 2 : 3

Learn more about Ratio here

https://brainly.com/question/2462048

#SPJ1

The perpendicular distance ( height ) between the parallels sides of the trapezoid is 5cm.

A trapezoid is simply a quadrilateral with at least one pair of parallel sides.

The area of trapezoid is expressed as;

A = h × (a + b)/2

Where a is base a, b is base b and h is height.

Given the data in the question;

To determine the height of the trapezoid, plug the given values into the above formula and solve for h.

A = h × (a + b)/2

31.5cm² = h × ( 7.3cm + 5.3cm)/2

31.5cm² = h × ( 12.6cm )/2

31.5cm² = h × 6.3 cm

h = 31.5cm² / 6.3 cm

Height h = 5cm

Therefore, the height of the given trapezoid is 5 centimeters.

Learn more about area of trapezoids here: https://brainly.com/question/12623349

#SPJ1

Answer:

88

Step-by-step explanation:

[tex]\frac{u}{8}-4=7 \\ \\ \frac{u}{8}=11 \\ \\ u=88[/tex]

Answer:u=88

Step-by-step explanation:

Answer: i believe the answer is 113.1 square feet

Step-by-step explanation: pi times 30

Answer:

lol

Step-by-step explanation:

I dunno my brain isn't braining

Answer: -1.4

Step-by-step explanation: simply subtract negative 185 by 1.7

The equation for  the number of athletes who do not play basketball is x = 107 - 81

Athletes surveyed = 107 athletes

Athletes who play basketball

Athletes who play baseball = 48 athletes

Athletes who don't play baseball = 33 athletes

Athletes who play basketball will be:

= athletes who play baseball + athletes who don't play baseball

= 48 + 33.

= 81

Total athletes = Athletes who play basketball + Athletes who don't play basketball

107 = 81 + x

x = 107 - 81

x = 26

The value is 26.

Learn more about equations on:

https://brainly.com/question/2972832

#SPJ1

Answer: X=-8

Step-by-step explanation:

(x+8)(x+8)= 0

x=-8

The average rate of change on the interval [2, 4] is 56

Here we have the function:

f(x) = 2x^3 + 1

And we want to find the rate of change on the interval [2, 4].

Remember that for a function f(x) the rate of change on an interval [a, b] is.

R = ( f(b) - f(a))/(b - a)

Then in this case, the rate of change is:

R = [ f(4) - f(2)]/[4 - 2] = ( 2*4^3 + 1 - 2*2^3 - 1)/2 = (4^3 - 2^3) = 56

So the rate is 56.

Learn more about rates of change:

https://brainly.com/question/8728504

#SPJ1

Part a

[tex]f(g(x))=6\left(x-\frac{5}{6})+5=6x-5+5=6x[/tex]

Part b

[tex]g(f(x))=g(6x+5)=(6x+5)-\frac{5}{6}=6x+\frac{25}{6}[/tex]

Therefore, the functions are not inverses of each other since [tex](f(g(x)) \neq x[/tex].

Answer:

4(x+

Step-by-step explanation:

8(x+3)^2/2(x+3)

[8(x + 3)(x + 3)]/2(x + 3)

8 ÷ 2 = 4

(x + 3)(x + 3) ÷ (x + 3) = (x + 3). In other words, we cancel one of the numerator factors.

Answer: 4(x + 3).

Answer:

4(x + 3)

or 4x + 12.

Step-by-step explanation:

8(x + 3)^2/ 2(x + 3)

x + 3 is common to both numerator and denominator of the fraction so they simplify to (x + 3)^2 / (x + 3) = (x+3).

the answer is 8 * (x + 3) / 2

= 4(x+ 3).

The horizontal asymptote of the function is y=36 and vertical asymptote is x = 6 and its end behavior is f(x)→6.

As the independent variable approaches a certain value, the function approaches asymptotes, but does not cross them. They could be angled, vertical, or horizontal.

ascending asymptotes

There will be a vertical asymptote at x=a if the denominator factor of a rational function, (x - a), is not matched by the same factor in the numerator.

horizontal asymptotes:

When x is large, the value of a rational function approaches the ratio of the highest-degree terms in the numerator and denominator.

Given the function is f(x) = 6x/x-36

limx→±∞ 6x/x-36

= limx→±∞ 6/1-36/x

= 6 ⇒ horizontal asymptote: y = 6

Consider denominator = 0 ↔ x-36 = 0 ↔ x=36

limx→₊₂₅ 6x/x-36

= 6×36/0⁺ = ∞ ⇒ vertical asymptote: x = 36

End behavior of f(x):

As x → -∞ or x → ∞, f(x) → 6.

Hence we get the asymptote and the end behavior of the function.

Learn more about asymptote here:

brainly.com/question/4138300

#SPJ1

The quotient of a-3/7 / 3-1/21 is 3/2(a - 3)

The quotient of a-3/7 / 3-a/21 is -3

From the question, we are to determine the quotient of the given division operation.

The given division operation is

a - 3/ 7 / 3 -1 / 21

That is,

a - 3/ 7 ÷ 3 -1 / 21

This becomes

a - 3 / 7 × 21 / 3 -1

a - 3 / 7 × 21 / 2

3(a - 3) / 2

= 3/2(a - 3)

If we are to find the quotient of

a - 3/ 7 / 3 -a / 21

This becomes

a - 3/ 7 ÷ 3 - a / 21

a - 3/ 7 × 21 / 3 - a

21(a -3) / 7(3 - a)

3( a - 3) / (3 -a )

Multiply the numerator and the denominator by -1

-1 × 3( a - 3) / -1 × (3 -a )

-3( a - 3) / (-3 + a)

-3( a - 3) / (a - 3)

= -3

Hence, the quotient is -3

Learn more on Determining quotient here: https://brainly.com/question/12558750

#SPJ1

The given exponential function represents the growth in function with a percentage increase as 57.3%.

Given we have the exponential function as :

y=8800(1.573)ˣ

it is in the form of: y=k.aˣ

therefore, if a>2 then the function represents growth.

and if a<1 then the function represents decay.

now, x=1.573

1.573 > 1

so, the function represents change in growth.

therefore, 1.573 - 1

= 0.573

= 57.3%

hence the change in growth of the function is increased by 57.3%.

Learn more about Exponential functions here:

brainly.com/question/2456547

#SPJ1

The most appropriate choice for HCF and LCM will be given by

The other number is 120

What is HCF and LCM?

HCF of two numbers A and B is the highest common factor of A and B. HCF is the highest number which divides both A and B.

LCM of two numbers A and B is the lowest common multiple of A and B. LCM is the least number which is divided by both A and B.

Here,

Let the other number be [tex]x[/tex]

HCF of 90 and [tex]x[/tex] = 30

LCM of 90 and [tex]x[/tex] = 360

Product  of HCF and LCM = 30 [tex]\times[/tex] 360

Product of 90 and [tex]x[/tex] = 90 [tex]\times[/tex] [tex]x[/tex]

By the problem,

                         90 [tex]\times[/tex] [tex]x[/tex] = 30 [tex]\times[/tex] 360

                                  [tex]x = \frac{360 \times 30}{90}[/tex]

                                  [tex]x = 120[/tex]

The other number is 120

To learn more about HCF and LCM, refer to the link:

https://brainly.com/question/26431349

#SPJ9

Answer:

1. 1/2

2. 1/5

Step-by-step explanation:

I used a calculator!

Answer:

1.3/6 or 1/2

2.1/5

Step-by-step explanation:

Just write that out, thats all the steps there is, 3/6 simplifies to 1/2 because they're equivalent

By doing multiply of = [tex]\frac{2}{3}[/tex] with =[tex]\frac{-3}{2}[/tex] we get -1 .

Algebra is one of the areas of mathematics where mathematical expressions can be used to represent situations or problems. In order for a mathematical statement to make sense, it must have mathematical operations like addition, subtraction, multiplication, and division as well as variables like x, y, and z. Every branch of mathematics, including calculus, trigonometry, and coordinate geometry, uses algebra. The equation 2x + 4 = 8 is a simple algebraic formula.Mathematical branch known as algebra deals with symbols and arithmetic operations on them. These symbols are referred to be variables since they lack set values. We frequently observe specific values that change in our day-to-day situations. However, there is a continuing need to depict these shifting values. These values are frequently represented in algebra by symbols, which are known as variables, such as x, y, z, p, or q. In order to determine the values, additional arithmetic operations such as addition, subtraction, multiplication, and division are performed on these symbols.

Given that : = [tex]\frac{2}{3}[/tex]  x ___ = -1

[tex]\frac{2}{3}[/tex] ×[tex]\frac{-3}{2}[/tex]

=-1

To know more about basic algebra visit :

brainly.com/question/752309

#SPJ9

The value of the expression 2y + 2y² when y = 4 is 40.

It should be noted that in Mathematics, an expression simply means the finite combination that is formed according to a specific rule. It should be noted that an expression must have variables that are connected by the operator.

In this case, the expression given in the question is:

2y + 2y².

where y = 4

We have to put y = 4 into the expression. This will be:

2y + 2y².

2(4) + 2(4)²

= 8 + 32

= 40

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

there is a jar containing 27 black and 33 gold jelly beans. you will get a chance to draw 10 jelly beans at random from the jar. on each draw, 0.5 is the probability of drawing a gold jelly bean

How can I find the probability?

The probability of an event can be calculated by probability formula by simply dividing the favorable number of outcomes by the total number of possible outcomes.

there is a jar containing 27 black

and 33 gold jelly beans.

you will get a chance to draw 10 jellybeans at random from the jar.

on each draw, what is probability of drawing a gold jelly bean

Add up the total number of jellybeans, 27 + 33 = 60

Divide the number of gold jellybeans by the total: 33/60 and reduce the fraction to 11/20

=0.55

Hence, there is a jar containing 27 black and 33 gold jelly beans. you will get a chance to draw 10 jelly beans at random from the jar. on each draw, 0.5 is the probability of drawing a gold jelly bean

learn more about of probability here

https://brainly.com/question/11234923

#SPJ4

The number of vegetable bearing plants are : 0.45x, where x is the total number of plants.

A fraction in mathematics represents a portion or element of the whole. It represents the appropriate parts of the totality. A fraction is made up of two parts: the numerator and the denominator. The number at the top is the numerator, and the number at the bottom is the denominator. The numerator indicates the number of equal parts that were actually taken, whereas the denominator shows the total number of equal parts in the whole.

Let x be the initial plant population.

Now that 1/10 of plants bear fruit, the quantity of fruit-bearing plants is equal to 0.1x.

Plants remaining then equal x - 0.1x = 0.9x.

Once more, because half of the remaining plants give flowers, the number of flower-bearing plants is equal to 0.5(0.9x) = 0.45x.

As a result, the number of plants left is equal to 0.9x - 0.45x = 0.45x.

Given that all remaining plants produce veggies, the number of plants that do so is equal to 0.45.

To learn more about fraction , tap on the link below:
https://brainly.com/question/17220365

#SPJ10

The relationship between operating cost per hour and the number of passenger seats is shown by the equation of the least squares regression line, where y=1136+14.673x is the expected operating cost per hour and x is the number of passenger seats.

a plane figure in geometry with four equal sides and four right angles of 90 degrees. A square is both an equilateral rectangle and a special kind of parallelogram (an equilateral and equiangular one).

In Euclidean geometry, a parallelogram is a simple quadrilateral having two sets of parallel sides. The confronting or opposed sides and the opposing angles of a parallelogram are of equal length.

based on the available facts;

y=1136+14.673x

where

x= number of passenger seat

y=predicted operating cost per hour.

to know more about square visit;

#https://brainly.com/question/9459418

#SPJ9