simplify by using order of operations 22 - (8 x 1) divided by (6 - 4) - 2

The likelihood that the sample mean time required to finish the exam will be less than 47.5 minutes is 0.566.

Given;

The average amount of time needed to finish an exam is 45 minutes, with a standard deviation of 15 minutes. The average amount of time required for 100 randomly chosen pupils is calculated.

Mean (μ) = 45

Standard deviation (σ) = 15

Here, σ/√n = 15/√100

                   = 1.5

To get the probability the sample mean time necessary to complete the examination is less than 47.5 minutes, we need;

P (x < 47.5) = P(z < (x-μ /σ/√n ) )

                  = P(z < 47.5 - 45/1.5)

                  = P(z < 17.5)

                  = 0.566

The probability the sample mean time necessary to complete the examination is less than 47.5 minutes is 0.566

To learn more about probability click here:

brainly.com/question/11234923

#SPJ4

Answer:

2:1

Step-by-step explanation:

.5 kg : 250g

the units must be same at both sides

500g : 250g

{as 1 kg = 1000g}

by simplifying both sides

10g : 5g

2g : 1g

2:1

Answer:  81

Step-by-step explanation:

Let's start with what we know:

Time spent each evening = 1/3 of an hour

Time spent: 27

We need to turn the time spent into minutes so We will do

27 * 60 = 1620 minutes

As well as we need to turn the 1/3 of an hour into minutes so we will do

1/3 * 60 = 20 minutes

So now we have these numbers

You can pick any letter but I will pick x

We can do 20x = 1620 (Time spent times number of evenings equals time spent)

Then after that you just divide 20x/20 and 1620/20

Then getting x = 81.

If you would like please make brainliest.

Thank you

There are no pair of numbers that multiply to 36 and add up to -7

The factors of number refers to any of various numbers multiplied together to form some whole. For instance, 3 is a factor of 12, as are 2, 4 and 6.

The pairs of factors of 36 that multiply to 36 are:

From the pair of numbers above, none add up to -7

Therefore, there is no pair of numbers whose product is 36 and sum is -7

Read more on factors of numbers:

https://brainly.com/question/219464

#SPJ1

Problem 13

Reason:

If a > 0, then the statement would always be true. However, if 'a' was negative, then the statement is false.

For example, if a = -2 then:

[tex]a^{-1} = (-2)^{-1} = \frac{1}{(-2)^1} = -\frac{1}{2} = -0.5[/tex]

In short,

[tex]a^{-1} = -0.5 \ \ \text{ when } a = -2[/tex]

This is one of infinitely many counter-examples to prove the original statement isn't always true.

===================================================

Problem 14

Reason:

The rule to use here is [tex]a^b*a^c = a^{b+c}[/tex]

We add exponents b and c, while the base 'a' stays the same the whole time.

In this problem we have: [tex]3^n*3^{-n} = 3^{n+(-n)} = 3^{n-n} = 3^0 = 1[/tex]

Therefore [tex]3^n*3^{-n} = 1[/tex] is always true regardless of what you replace n with. The variable n doesn't have to be an integer.

===================================================

Problem 15

Reason:

Let's say p = -1 is plugged into the expression

[tex]6^p = 6^{-1} = \frac{1}{6^1} = \frac{1}{6} \approx 0.1667[/tex]

which is a positive outcome showing that [tex]6^p > 0[/tex] doesn't automatically guarantee that p > 0. Feel free to try other negative values as counter-examples. Also p = 0 works as well. It turns out that [tex]6^p[/tex] is always positive regardless of what real number you use for p.

===================================================

Problem 16

Reason:

The rule used here is [tex]a^{-b} = \frac{1}{a^b}[/tex]

An equivalent rule is [tex]\left(\frac{a}{b}\right)^{-c} = \left(\frac{b}{a}\right)^c[/tex]

The idea is to flip the fraction to turn the exponent positive.

Examples: [tex]2^{-5} = \frac{1}{2^5} \ \ \text{ and } \ \ \left(\frac{7}{9}\right)^{-3} = \left(\frac{9}{7}\right)^{3}[/tex]

===================================================

Problem 17

Reason:

This is similar to problem 15 in that [tex]2^m[/tex] is always positive regardless if m is negative, zero, or positive. It might help to graph out [tex]y = 2^x[/tex] and see that the curve never dips below the x axis.

5050

Step-by-step explanation:

1+2+3+.....+100 add all the numbers and u get that

Answer: 8

Step-by-step explanation:

7.69 to the nearest whole number is 8

An equation to determine the original price of the lawnmower discounted at 9% to $1,517.74 is B. y = 0.91x.

An equation summarizes a mathematical statement that equates two or more mathematical expressions.

Equations operate with values, numbers, and variables, using the equation symbol (=) and mathematical operands to establish the equality of values.

Discount offered = 9%

Amount paid for a lawnmower = $1,517.74

Original price = x

Discounted price, y = 0.91x

Y = 0.91x

1,517.74 = 0.91x

x = 1,667.85

Thus, the original price of the lawnmower is determined by Equation B.

Learn more about equations at https://brainly.com/question/2972832

#SPJ1

Function g(x) have 3 x intercepts.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The function f(x) = (x + 5)(x-3) is dilated by x to produce the function

the function g(x) = x f(x).

A dilation is a transformation which preserves the shape and orientation of the figure, but changes its size

g(x)=x(x + 5)(x-3)

=x(x²-3x+5x-15)

=x(x²+2x-15)

x=0, x=-5 and x=3

The function g(x) have 3 x intercepts.

To learn more on Graphs click:

https://brainly.com/question/17267403

#SPJ1

Using the concepts of probability, we got that book is independent variable in the experiment in which I randomly assign one group of angelenos to read a book about the history of the Seattle supersonics, and the other to read a book about cheese.

The independent variable is the condition that you actually change in an experiment. It is the variable you control. It is known as independent because its value does not depend on the value and is not affected by the state of any other variable in the experiment.

Hence, when  i randomly assign one group of Angelenos to read a book about the history of the Seattle supersonics, and the other to read a book about cheese and  then give them a quiz about basketball history (including recent events such as the Los Angeles Lakers then  the independent variable in this experiment is the book given by me.

To know more about the probability, visit here:

https://brainly.com/question/11234923

#SPJ4

The ratio 120/150 represented in the simplest form is 4 : 5 .

The given ratio is 120 /150 .

Now if we write the expression in the form of the simplest ratio we have to divide the ratio by the highest common factor.

The HCF of the number is 30. Hence the ratio in simplest form will be

120÷30 : 150÷30 = 4 : 5 .

By comparing two amounts of the same unit and establishing the ratio, we can work out how much of one quantity is contained in the other. Two categories of ratios exist.

Ratio can be thought of as an ordered pair of integers, a fraction with the first number in the numerator and the second in the denominator, or as the value that this fraction represents.

Ratios of counts are rational numbers that can also be rational numbers and are occasionally expressed by (non-zero) natural numbers.

To learn more about ratio visit:

https://brainly.com/question/13419413

#SPJ9

The attendant at a parking lot compared the number of hybrid vehicles to the total number of vehicles in the lot over a weekend.

Day      hybrids    total

Fri           5             9

sat                         63

sun         40            

we need to find number of hybrids in sat and total in sun.

Number of hybrids in sat = 5*7 = 35(ratios are equal)

Total in sum = 9*8 = 72.

Day      hybrids    total

Fri           5             9

sat          35           63

sun         40           72

Learn more about the parking and hybrid vehicles here:

https://brainly.com/question/4758733

#SPJ1

Answer: [tex]f(k+1)=2k-2[/tex]

Step-by-step explanation:

Substituting [tex]k+1[/tex] for [tex]x[/tex],

[tex]f(k+1)=2(k+1)-4\\\\f(k+1)=2k+2-4\\\\f(k+1)=2k-2[/tex]

Answer:

Step-by-step explanation:

15 ile 25 arasında toplam 10 tam sayı var,
buna 25-15=10 şeklinde ulaşabiliriz. Ardından tek sayılar sorulduğu için ve bu 10 tam sayı içerisinde hem tek hemde çift olduğu için sayıyı ikiye böleriz
10/2=5 ve ardından en sonda bulunan 25 sayısını çıkarırız yani, 5-1=4

cevaplar: 17, 19,21,23

Answer:

x = -12

Step-by-step explanation:

Get X all on one side

7x - 8x = 8x - 8x + 12

-x = 12

x = -12

Answer:

x = -12

Step-by-step explanation:

To solve this, you will need to get all of the variables on one side, and the 12 on the other. You will subtract 8x from both sides to get the equation -x = 12. You can then divide both sides by -1 to get the x alone, and thus you get x = -12.

It is false that " finding a random sample with a mean this low in a population with mean 7 and standard deviation 2 is very unlikely".

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation indicates that the data are grouped around the mean, whereas a high standard deviation shows that the data are more dispersed. The average degree of variability in your data set is represented by the standard deviation. It reveals the average deviation of each score from the mean. The standard deviation gauges how widely the data deviates from the mean. When comparing data sets that may have the same mean but a different range, it is helpful. The mean of the two numbers 15, 15, 15, 14, 16 and 2, 7, 14, 22, 30 for instance, is the same. The second, however, is obviously more dispersed.

To know more about standard deviation,

https://brainly.com/question/12402189?referrer=searchResults

#SPJ4

-x/y is equivalent to x/-y according to the division rule a/b*d/c=a/b*c/d.

In division, a number is divided, which is an easy operation. In mathematics, division is the division of a sum into equal parts. A group of 20 people, for instance, could be divided into four groups of 5, five groups of 4, and so on. Division's opposite is multiplication. If 3 groups of 4 add up to 12, then 4 are in each group when 12 is divided into 3 equal groups.

According to the division rule a/b/c/d=a/b*d/c, 

=1/(y/-x)

=1*-x/y

=-x/y

-x/y is equivalent to x/-y according to the division rule a/b÷c/d=a/b*d/c.

To know more about division,

https://brainly.com/question/21416852?referrer=searchResults

#SPJ13

The amount of honey that Bert’s new beehive hold would be; 200.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given data that the Number of frame beehive = 6

The Pound of honey = 40

The Current Frame beehive = 30

First step is to formulate an equation and then use the formulated equation;

40 × 30 ÷ 6

Hence, 40 × 5

= 200 honey

Therefore, the number of honey would be; 200.

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ1

[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{"y" varies with "x"}}{y=kx}\hspace{5em}\textit{we know that} \begin{cases} y=-4\\ x=10 \end{cases}\implies -4=k(10) \\\\\\ \cfrac{-4}{10}=k\implies -\cfrac{2}{5}=k\hspace{10em}\boxed{y=-\cfrac{2}{5}x} \\\\\\ \textit{when x = 2, what is "y"?}\qquad y=-\cfrac{2}{5}(2)\implies y=-\cfrac{4}{5}[/tex]

The value of x is 22.5528.

Let ABC be the triangle , <A = 70, <B = 30 ,<C = 80.

Sum of angles in a triangle is 180.

70 + 30 + <C = 180

<C = 180 - 100

<C = 80.

Let sides be a = x , b = 12 and c = ?

According to sines law,

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

substitute a ,b,A,B values

a/sin A = b/sin B

x/sin 70 = 12/sin 30

x = 0.9397*12/1/2

= 11.2764*2/1

x = 22.5528.

Therefore the value of x is 22.5528.

Learn more about the triangle here:

https://brainly.com/question/2773823

#SPJ1

[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{(-1)}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{(-4)}}} \implies \cfrac{2 +1}{8 +4} \implies \cfrac{ 3 }{ 12 } \implies \cfrac{1 }{ 4 }[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{ \cfrac{1 }{ 4 }}(x-\stackrel{x_1}{(-4)}) \implies y +1 = \cfrac{1 }{ 4 } ( x +4) \\\\\\ y+1=\cfrac{1 }{ 4 }x+1\implies {\Large \begin{array}{llll} y=\cfrac{1 }{ 4 }x \end{array}}[/tex]

Answer:

a) y = 0

Step-by-step explanation:

Given equation,

→ 3y - 7(y + 5) = y - 35

Now the value of y will be,

→ 3y - 7(y + 5) = y - 35

→ 3y - 7y - 35 = y - 35

→ -4y - y = -35 + 35

→ -5y = 0

→ y = 0/-5

→ [ y = 0 ]

Hence, the value of y is 0.

Answer:

Step-by-step explanation:

Sᴏ ᴛʜᴇ value of x= -4

x = -4

Step-by-step explanation:

Solution:-

[tex]{ \blue{ \sf{f(x) = - 4x + 8}}}[/tex]

In order to find the value of x, put 24 in the place of f(x) (given) then,

[tex]{ \blue{ \sf{24 = - 4x + 8}}}[/tex]

[tex]{ \blue{ \sf{24 - 8 = - 4x}}}[/tex]

[tex]{ \blue{ \sf{16 = - 4x}}}[/tex]

We should find the value of x. So divide bith the sides by -4. then,

[tex]{ \blue{ \sf{ - \frac{16}{4} = \frac{ - 4}{ - 4} x}}}[/tex]

[tex]{ \bold{ \boxed{ \red{ \sf{ -4 = x}}}}} \: (or) \: { \bold{ \boxed{ \red{ \sf{x = - 4}}}}}[/tex]

The simplest radical form of  √(11/(x + 4)) when x is 16 is; ¹/₁₀√55

Surds are actually the expressions of the number, and often use radicals. Meanwhile, the radical is just the symbol used to express the square root.

We are given the expression of the surd as;

√(11/(x + 4))

We want to solve this for when x = 16. Thus, we plug in 16 for x in the surd to get;

√(11/(16 + 4))

= √(11/20)

Now, we can rewrite the fraction in the bracket to have the denominator as a perfect square by multiplying both numerator and denominator by 5 to get;

√(55/100)

Square root of 100 is 10 and as such we now have;

√(55/100) = ¹/₁₀√55

Read more about radical surd form at; https://brainly.com/question/19569383

#SPJ1

Answer:

Step-by-step explanation:

the answer is 86

hope it helps!

(-_-)

Answer:

Prime

Step-by-step explanation:

Because this number is only divisible by itself and no other number.

The upper limit is 0.79

The class interval's upper limit is its highest value. Similarly, the lower limit is the class interval's smallest value.

Given that n = 200 and standard deviation  σ = 0.025

σ = (√n/√n)  = 0.025

Now calculate p

P = defectives/total inspected

= 145/200

P = 0.72

Q= 1-p

= 1- 0.72

= 0.18

Now calculate the upper limit

UCL = p – (-3 x σ)

= 0.72 – ( -3 x 0.025)

= 0.72 – (-0.075)

= 0.72 + 0.075

= 0.795

= 0.79

Therefore the upper limit is 0.79

To learn more about the upper limit and lower limit visit

https://brainly.com/question/13242669

#SPJ4

Answer:

range

Step-by-step explanation: