A set of statistics exam scores are normally distributed with a mean of 76. 5576. 5576, point, 55 points and a standard deviation of 555 points. What proportion of exam scores are between 797979 and 86. 586. 0586, point, 05 points?.

Answer:

4

Step-by-step explanation:

negative divided by a negative is a positive

Answer:

Step-by-step explanation:

Have the cash register print a pink arrow on a receipt every 15 minutes. Survey customers with a pink arrow on their receipts.

Its correct I got it right!!

The approach which is most likely to represent a sample that is representative of the population is option C. Have the cash register print a pink arrow on a receipt every 15 minutes. Survey customers with a pink arrow on their receipt.

Sampling methods are methods used to select a sample using specific methods. This includes various types of probability sampling and non probability sampling methods.

The random sample we need here is the sample of customers coming to a shop.

If we select the customers by the other options other than the third one, it will lead to various bias issues like sampling bias and research bias.

Hence the most appropriate method is to use option c.

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To find the number of heart stickers in a pack of 140 stickers, we can use proportions. We can set up the proportion by using the number of stickers on the sheet of 28 stickers as the denominator and the number of heart stickers on the sheet of 28 stickers as the numerator. The proportion will look like this:

Copy code

(heart stickers in a pack of 140 stickers) / 140 = 16 / 28

To solve for the number of heart stickers in a pack of 140 stickers, we can first multiply both sides of the equation by 140 to get rid of the denominator on the left side:

(heart stickers in a pack of 140 stickers) = 140 * 16 / 28

Then, we can simplify the expression on the right side by dividing the numerator and denominator by 4 to get:

(heart stickers in a pack of 140 stickers) = 35

Therefore, a pack of 140 stickers would have 35 heart stickers.

Answer:

(-3, 0)

Step-by-step explanation:

You use brackets and then you place the number of x first which is -3 then you place a comma and then you place the number of y which is 0 and you close the bracket.

Answer:

try

Step-by-step explanation:

Two Hills in Roswell is 1.173 miles apart in real life.

The mile, sometimes called the international mile or statutory mile to distinguish it from others, is an imperial unit in the United Kingdom and a common unit of distance in the United States. Both are based on old English units that are 5,280 British feet or 1,760 yards long. The legal mile was standardized in 1959 by an international agreement between the British Commonwealth and the United States and formally redefined in SI units to be exactly 1,609.344 meters.

With the modifier, the mile is also used to describe or convert a wide range of units derived from or roughly equivalent to the Roman mile, such as the Chinese mile (now exactly 500 m). will be The Romans divided the mile into 5,000 Roman feet, but the furlong was so important in Elizabethan England that in 1593 the legal mile was equal to 8 furlongs, or 5,280 feet. This form of the mile has since spread partially to the successor states of the British Empire, where they continue to use the mile.

According to the question:

The scale is 1 inch : 0.51 miles. It means 1 inch on the map represents 0.51 miles in real life.

If we have 2.3 inches on the map, then in real life

in real life = 2.3 × 0.51

in real life = 1.173 miles.

Two hills in Roswell is 1.173 miles apart in real life

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The amount of investment will be $8183.24 after compound interest.

Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.

A = P(1+r/100)ⁿ

Where:

A = the future value of the investment or loan

P = the principal investment or loan amount

r = the interest rate (decimal)

n = the number of compound periods

As per the question, an initial investment of $5575 is appreciated for 12 years in an account that earns 3.25% interest, compounded semiannually.

The compounded amount will be calculated as:

A = 5575 ( 1 + 0.0325 )¹²

A = 5575 × 1.4678

A = $8183.24

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To write, to examine, to take, or to cooperate are examples of verbs that are infinitives. A split infinitive is one that has an adverb between it and the verb itself.

In the given question we have to explain, how we split an infinitive in a sentence.

As we know that,

Split infinitives are grammatical constructions in which the "to" and "infinitive" halves of what is more often referred to as the to-infinitive in modern linguistics are separated by an adverb or adverbial phrase.

To write, to examine, to take, or to cooperate are examples of verbs that are infinitives. A split infinitive is one that has an adverb between it and the verb itself.

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The difference between the numbers 1.1 × 10⁸ and 4.3 × 10⁷ will be 6.7 × 10⁷. Then the correct option is C.

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.

The numbers are given below.

1.1 × 10⁸ and 4.3 × 10⁷

Then the difference between the numbers 1.1 × 10⁸ and 4.3 × 10⁷ will be given by putting a minus sign between them. Then we have

⇒ 1.1 × 10⁸ - 4.3 × 10⁷

⇒ 11 × 10⁷ - 4.3 × 10⁷

⇒ 6.7 × 10⁷

The contrast between the numbers 1.1 × 10⁸ and 4.3 × 10⁷ will be 6.7 × 10⁷. Then, at that point, the right choice is C.

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Answer:

Step-by-step explanation:

4m-3/4=-9+4m/84m-3/4=-9+4m/84m-3/4=-9+4m/84m-3/4=-9+4m/84m-3/4=-9+4m/84m-3/4=-9+4m/84m-3/4=-9+4m/84m-3/4=-9+4m/84m-3/4=-9+4m/84m-3/4=-9+4m/8

Answer:

[tex]\frac{-3+\sqrt{23} }{4} , - \frac{3+\sqrt{23} }{4}[/tex]

Step-by-step explanation:

quad formula= [tex]x=\frac{b+/-\sqrt{b^{2} -4(a)(c)} }{a^{2} }[/tex]

in your case the [tex]2x^{2}[/tex] is a

[tex]-3x[/tex] is b

and [tex]-4[/tex] is c

and plug it in a calculator twice, add the first time and subtract the second time.

The probability of not paying any amount for the purchased DVD players as per the condition of 1 or more defective is equal to 0.9029.

As given in the condition,

Number of DVD players purchased by a retailer = 240

Number of defective DVD players = 7

Number of non- defective DVD players = 233

Number of DVD players chosen randomly for test = 5

Condition:

If 1 or more DVD players are defective then all players are free of charges.

Total number success rate for 5 DVD to be defective 'p' = 5 / 240

                                                                                              = 1 / 48

Here value of n = 5

Probability of non defective DVD is equal to:

= 1 - ( 47/ 48 )⁵

= 0.09708

Probability of 1 or more defective DVD's are

= 1 - 0.09708

= 0.9029

Therefore, the probability of not to pay any amount for DVD players is equal to 0.9029.

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The probability that the person uses exactly one of the facilities is 0.8.

Given that, there are 120 people in a sport center.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes

Now, the person uses exactly one of the facilities

= 78+46+41-(21+16+24+9)

= 165-70

= 95

So, probability =95/120

= 0.8

Therefore, the probability that the person uses exactly one of the facilities is 0.8.

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By solving a linear equation, it can be calculated that-

It takes 3.51 months for  Belvedere to weigh the same as Thor

What is a linear equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algerbraic expressions by an equal to sign.

A one degree equation is known as linear equation.

A linear equation needs to be solved here

Let the number of months for Belvedere to weigh the same as Thor be x months

Thor weighs 192 pounds and plans on losing 2.1 pounds each month.

Weight of Thor after x months = 192 - 2.1x

Belvedere weighs 211 pounds and plans on losing 7.5 pounds per month.

Weight of Belvedere after x months = 211 - 7,5x

By the problem,

The linear equation is

192 - 2.1x = 211 - 7.5x

7.5x - 2.1x = 211 - 192

3.51 5.4x = 19

x = [tex]\frac{19}{5.4}[/tex]

x = 3.51 months

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Answer:

8

Step-by-step explanation:

2+2x3

1. Use pemdas to do it

8

Answer:

x < 12

Step-by-step explanation:

Combine multiplied terms into a single fraction

1/2x < 6

1x/2 < 6

x/2 < 6

2 times x/2 < 2 times 6 is 12 you your answer is x < 12

Answer:

you need to know the length and width of the square or rectangle. This is also referred to as the area of the shape. The formula for calculating square meters is length x width = m2.

TRUE extrapolation is the use of the regression line to estimate a mean of y-values for an x-value that is far outside the x-range of data.

"Information available from the question"

In the question:

Extrapolation is the use of the regression line to estimate a mean of y-values for an x-value that is far outside the x-range of data.

Answer in True or False.

Now, According to the question:

Let's Know:

What is extrapolation?

A statistical technique called extrapolation aims to understand the unknown data from the known data. It uses historical data to attempt to predict future data. For instance, using the current population size and growth rate to project the size of a population in a few years.

Predicting hypothetical values outside of a specific data set is the goal of extrapolation.

Contrary to interpolation, which typically focuses on estimating past values, extrapolation is used to predict unknown future values due to its predictive nature.

Hence, TRUE extrapolation is the use of the regression line to estimate a mean of y-values for an x-value that is far outside the x-range of data.

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The inequality that represent the at most no. of musics played are,

C ≤ 4,  J ≤ 1 and 4C + 0.25C ≤ 12

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, The radio station plays at most 12 hours of music per day.

Let C denotes classical music, J denotes jazz music,

25% of 4 hours is 1 hour.

∴ The inequality representing this situation is

C ≤ 4 and J ≤ 1.

4C + 0.25C ≤ 12.   (less that  or equal to is atmost)

4.25C ≤ 12.

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Mean and standard deviation of the height of the population using empirical rule is equal to 65inches and 3 inches.

As given in the question,

Distribution of height in women population:

Percent of women heights less than 62inches = 16%

As per Empirical rule of normal distribution,

It is less than 68% it comes in first standard deviation

μ - σ = 62 __(1)

Percent of women heights less than 71 inches = 97.5%

As per Empirical rule of normal distribution,

It is in the range of  97.5% it comes in second standard deviation

μ +2σ = 71 __(2)

Solve (1) and (2) we get,

μ - σ = 62

μ +2σ = 71

0 - 3σ = -9

⇒ σ = 3inches

⇒ μ = 62 + 3

       = 65inches

Therefore, the using empirical rule the mean and standard deviation to represent the height of population is equal to 65inches and 3 inches respectively.

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2185 people make up the sample size.

What is proportion?

An equation in which two ratios are made equal is called a proportion. For instance, you could write the ratio as 1: 3 (for every one boy, there are three girls), which means that 14 of the population is made up of boys and 34 of the population is made up of girls.

The formula used to determine sample size (n) is as follows:

n =  p(1 - p) (z²/ e² )

Where z = 1.96 with a 95% confidence interval (), p is the proportion, and e is the margin of error.

z = 1.96, p = 0.35, e = 0.02

n =  0.35(1 - 0.35) (1.96²/ 0.02²)

n = (0.2275)(9604)

= 2184.91

n ≈ 2185

2185 people make up the sample size.

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On the factors variable, information was gathered when the age distribution of all the data, expressed in years, with the right tail being longer than the left.

Given that,
On the factors variable, information was gathered.

We have to find which variable is least likely to be modeled by a normal distribution.

We know that,

The normal distribution has the following properties:

i) Symmetric

ii) unimodal

iii)asymptotic

The distribution of ages, in years, of all the residents of a town, where the right tail of the distribution is longer than the left.

This distribution is not symmetric.

It is not a normal distribution.

Therefore, On the factors variable, information was gathered when the age distribution of all the data, expressed in years, with the right tail being longer than the left.

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Answer:

407/12

Step-by-step explanation:

r=-1/2

Substituting, we get 34+1/6*-1/2=34+(-1/12) = 407/12.

Total 205 students should be polled so that we can estimate p to within 0.09 using a 99% confidence interval.

We have given that

Estimate of the proportion of students

= p

Confidence interval = 99%

As we know that the margin of error for the confidence interval is ,

MOE = Z ×√(p × (1-p)) / n

Where Z is z-score for

p --> estimate proportion confidence interval

n --> sample size

margin of error = 0 .09,

so we can set the equation as,

0.09 = Z×√(p×(1-p)) / n

Using the Z-table , the Z value for a 99% confidence interval is 2.575..

we will use p = 0.5 (since we are not given any information about value of p).

plugging all known values in above formula we get, 0.09 = 2.575√(0.5(0.5))/n

=> 0.0349 = √0.25/ n

=>0.00122 = 0.25/n

=> n = 204.6489

Since we get a decimal and we need our answer in number of students to sample, we round up to n = 205.

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The solution of the given linear equation can be obtained as x = 0.4.

The distributive property states that the product of a number and the sum of other numbers is equal to the sum of their individual products.

It can be expressed as a(b + c + d) = ab + ac + ad.

The given linear equation can be solved as follows,

-2.5(4x - 4) = -6

Use distribute property in the RHS to obtain,

-2.5 × 4x - 2.5 × -4 = 6

=> -10x + 10 = 6

=> -10x = -4

=> x = 0.4

Hence, the given equation can be solved as x = 0.4.

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The slope is 2 to 1 means you move up or down 1 foot for every 2 feet.

The slope is 2 to 1 means you move up or down 1 foot for every 2 feet. [tex]2:1[/tex] slopes have guardrails along the edge(side) of the pavement as you drive down the highway. It can be seen from either an on or off-ramp.

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the simplest form of the given expression -9a-15-16a+9  is -25a - 6.

What is polynomials?

Using variables and coefficients, polynomials are algebraic expressions. The term "indeterminates" is sometimes used to describe variables. The terms Poly and Nominal, which together signify "many" and "terms," make up the word polynomial. When exponents, constants, and variables are combined using mathematical operations like addition, subtraction, multiplication, and division, the result is a polynomial (No division operation by a variable). The expression is categorized as a monomial, binomial, or trinomial based on the number of terms it contains.

-9a-15-16a+9

So here "a" is a variable

we have -a(9+16)+9-15

= -25a - 6

Hence the simplest form of the given expression is -25a - 6.

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