The scale on a map is 1 inch = 40 miles. If two towns are 90 miles apart, how far apart on the map should they be?
please help

The sample space is (a) watermelon, watermelon, lemon-lime, lemon-lime, lemon-lime, grape gumballs, grape gumballs, grape gumballs, grape gumballs, grape gumballs

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

2 watermelon, 3 lemon-lime, and 5 grape gumballs

Rewrite the items according to their frequencies

So, we have the following representation

watermelon, watermelon, lemon-lime, lemon-lime, lemon-lime, grape gumballs, grape gumballs, grape gumballs, grape gumballs, grape gumballs

The above represents the sample space

Hence, the sample space is (a)

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The value of p is 15

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here: Davey reads 58 pages on Saturday and on rest of the days p pages per day

Therefore everyday he reads 58+p pages per day

If he reads for 10 days and he reads a total 1408 pages then we have

In a week there is one Saturday

thus

9p+58=1408

9p=1350

p=15

Thus on the other days p is equal to 15 pages per day.

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The complete question is Davey reads 58 pages on Saturday and p pages on other days and on a span of 10 days he reads 1408 pages. Find the value of p.

Question One:A positive z-score indicates that the raw score is above the mean, while a negative z-score indicates that the raw score is below the mean.

Question Two: , the raw score is relatively lower than the mean.

If a raw score corresponds to a z-score of 1.75, it tells us that the raw score is 1.75 standard deviations above the mean of the distribution. In other words, the raw score is relatively higher than the mean. The z-score provides a standardized measure of how many standard deviations a particular value is from the mean.

A positive z-score indicates that the raw score is above the mean, while a negative z-score indicates that the raw score is below the mean.

Question Two:

If a raw score corresponds to a z-score of -0.85, it tells us that the raw score is 0.85 standard deviations below the mean of the distribution. In other words, the raw score is relatively lower than the mean. The negative sign indicates that the raw score is below the mean.

To understand the meaning of a z-score, it is helpful to consider the concept of standard deviation. The standard deviation measures the average amount of variability or spread in a distribution. A z-score allows us to compare individual data points to the mean in terms of standard deviations.

In the case of a z-score of -0.85, we can conclude that the raw score is located below the mean and is relatively lower compared to the rest of the distribution. The negative z-score indicates that the raw score is below the mean and is within the lower portion of the distribution. This suggests that the raw score is relatively smaller or less than the average value in the distribution.

By using z-scores, we can standardize and compare values across different distributions, allowing us to understand the position of a raw score relative to the mean and the overall distribution.

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Answer:

87.92in.2

Step-by-step explanation:

The person above me is right. :p

Answer:

630

Step-by-step explanation:

36x250 = 9000 ÷ 7 =630

The missing dimensions from the given expression should be completed with the following:

(81.) A) 2

(82.) AD) x

(83.) E) 12

The expression as a product should be written as: DE) 2(x + 12).

In Mathematics and Geometry, a factored form can be defined as a type of quadratic expression that is typically written as the product of two (2) linear factors and a constant.

In this scenario and exercise, we would complete the table above by showing the factored form and expanded form of each of the given expressions as follows;

        x           12

2      2x         24

Note: 2x/2 = x.

         24/2 = 12.

(2x + 24) = 2(x + 12).

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Answer:

0.1354 = 13.54% probability that exactly one of these three blue ray players is defective.

Step-by-step explanation:

For each player, there are only two possible outcomes. Either it is defective, or it is not. The probability of a player being defective is independent of any other ray. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

Five percent of all blue ray players manufactured by a large electronics company are defective.

This means that \(p = 0.05\)

A quality control inspector randomly selects three players from the production line.

This means that \(n = 3\)

What is the probability that exactly one of these three blue ray players is defective?

This is P(X = 1). So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 1) = C_{3,1}.(0.05)^{1}.(0.95)^{2} = 0.1354\)

0.1354 = 13.54% probability that exactly one of these three blue ray players is defective.

An appropriate interpretation of the 95 percent confidence level is Approximately 95% of all farm sizes in the United States are between 367 acres and 558 acres.

Random sampling is a method of choosing a sample of observations from a population to make assumptions about the population. It is also called probability sampling. The counterpart of this sampling is non-probability sampling or Non-random sampling. The primary types of this sampling are simple random sampling, stratified sampling, cluster sampling, and multistage sampling. In the sampling methods, samples which are not arbitrary are typically called convenience samples.

The primary feature of probability sampling is that the choice of observations must occur in a ‘random’ way such that they do not differ in any significant way from observations, which are not sampled. We assume here that statistical experiments contain data that is gathered through random sampling.

Here we have,

Sample size \($(\mathrm{n})=\) 30

95% confidence interval (367,558)

Interpretation

B) Approximately 95% of all farm size in the United States are between 367 acres and 558 acres.

Therefore, the correct option is (B)

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complete question: An agricultural engineer selected a random sample of 30 farms in the United States to construct a 95 percent confidence interval for the mean size, in acres, of farms in the United States. The resulting interval was (367, 558). Which of the following is an appropriate interpretation of the 95 percent confidence level?

(A) Approximately 95% of the farm sizes in the sample are between 367 acres and 558 acres.

(B) Approximately 95% of all farm sizes in the United States are between 367 acres and 558 acres.

(C) Approximately 95% of all random samples of size 30 from the population will have a mean farm size between 367 acres and 558 acres.

(D) Approximately 95% of all random samples of size 30 from the population will produce intervals that contain the mean size of farms in the United States.

(E) Approximately 95% of all random samples of size 30 from the population will produce intervals that contain the sample mean.

Answer:

B.  -414,720 x⁷y⁶

Step-by-step explanation:

To find the 4th term of the expansion of (2x - 3y²)¹⁰, we can use the binomial theorem.

The binomial theorem states that for an expression of the form (a + b)ⁿ:

\(\displaystyle (a+b)^n=\binom{n}{0}a^{n-0}b^0+\binom{n}{1}a^{n-1}b^1+...+\binom{n}{r}a^{n-r}b^r+...+\binom{n}{n}a^{n-n}b^n\\\\\\\textsf{where }\displaystyle \rm \binom{n}{r} \: = \:^{n}C_{r} = \frac{n!}{r!(n-r)!}\)

For the expression (2x - 3y²)¹⁰:

Therefore, each term in the expression can be calculated using:

\(\displaystyle \boxed{\binom{n}{r}(2x)^{10-r}(-3y^2)^r}\quad \textsf{where $r = 0$ is the first term.}\)

The 4th term is when r = 3. Therefore:

\(\begin{aligned}\displaystyle &\;\;\;\;\:\binom{10}{3}(2x)^{10-3}(-3y^2)^3\\\\&=\frac{10!}{3!(10-3)!}(2x)^7(-3y^2)^3\\\\&=\frac{10!}{3!\:7!}\cdot2^7x^7(-3)^3y^6\\\\&=120\cdot 128x^7 \cdot (-27)y^6\\\\&=-414720\:x^7y^6\\\\ \end{aligned}\)

So the 4th term of the given expansion is:

\(\boxed{-414720\:x^7y^6}\)

Answer:

B, C, D

Step-by-step explanation:

-2 is 8 spaces away from 6 so do the math for each possible answer and u get B,C,D.

B.

6 - (-2)

6 + 2 = 8

C.

| -2| = 2

6+2 = 8

D.

|-2+6|

2+6 = 8

Answer:

Step-by-step explanation:

The answer is B

Answer:

If the outside diameter of the wheel is 66cm, it will travel 1 wheel circumference. Circumference is Pi x diameter = 3.14 x 66 = 207.24 cm.Step-by-step

Explanation:

If the diameter is of the wheel (without the tire) you need to calculate the actual diameter from the outermost edge of the tire.

Answer:

m<BA = 180degrees

Step-by-step explanation:

First you must know that measure of <BA is 180 degrees and m<CD = m<BA

Since <CD = 16z - 12, hence;

180 = 16z - 12

16z = 180++12

16z = 192

z = 192/16

z = 12

Get <BA

m<BA = 16z - 12

m<BA = 16(12) - 12

m<BA = 192 - 12

m<BA = 180degrees

Answer:

x>_-1

Step-by-step explanation:

x is such that x is greater or equal to -1

Answer:

C. ⁸/125

Step-by-step explanation:

The volume of the right rectangular prism = 8 × volume of 1 cube

Volume of cube = a³

Where,

a = ⅕ inch

Volume of 1 cube = (⅕)³

= 1/125 cubic inch

✔️Volume of the rectangular prism = 8 × ¹/125

= ⁸/125 cubic inch

Answer:

y-int. is (0,3)

Step-by-step explanation:

Answer:

(0,3)

Step-by-step explanation:

Answer:

B. 5 gallons per minute.

Explanation:

The tub is being filled when the volume is increasing. That is, at the point where the graph has a positive slope.

To find the rate at which the tub is being filled, pick two points from the part of the graph marked with red above.

They are: (4,20) and (0,0).

Next, find the rate of change.

The tub is being filled at a rate of 5 gallons per minute.

Answer:

D

Step-by-step explanation:

When there is an negative sign inside in a radical, then we remove that and put out of the radical classifying as "i". Then, reduce 63 into smallest form and we can write it as 9 and 7. 9 is a perfect square of 3 so we put it outside and the answer is D.

The better promotion is at the campus canteen and it is the best to by a can of tab with a discount of about R600.

We come across phrases like cost price, tagged price, discount, and selling price when making a purchase. Shop owners give discounts to customers to encourage product sales. Discount is the term used to describe a rebate or an offer made to clients on the listed price of goods.

Discounts are price reductions that store owners make on items or services that are otherwise priced as marked. This portion of the rebate is typically provided to boost sales or get rid of excess inventory.

Given that, a can of Tab costs R7, 20 at Timber City.

Then 6 packs will cost = 6(720) = R4320

At promotion the cost is R3960 the discount offered is:

D = R4320 - R3960

D = R360

At campus Canteen a can of tab is for R7, 50.

6 packs = 6(750) = R4500

Discount = 4500 - 3900 = R600

Hence, the better promotion is at the campus canteen and it is the best to by a can of tab with a discount of about R600.

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Answer:

It's D

Step-by-step explanation:

since kelly bought three tickets, you divide by three to find the cost of each individual ticket

The total cost of the computer is 719.95 if Originally the price is 849 the store offers a 20% discount and a 6% sales tax

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To find the purchase total, multiply the price by the percent paid and add the percent of tax.

The store offers a 20% discount

This means you pay 80% of the price. So the discounted price is 0.80(849) = 679.2.

Find the tax to be paid by multiplying 0.06(679.2) = 40.752.

Add the tax for the final total.

679.2 + 40.752 = 719.95

Hence, The total cost of the computer is 719.95 if Originally the price is 849 the store offers a 20% discount and a 6% sales tax

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The value of (f+g)(x) is c(x) = 2x² + (-2)x + 1.

How can we add linear functions?
Addition of two individual functions, a(x) and b(x); linearly, results in the formation of the functional addition, c(x) of the two functions, such as
c(x) = a(x) + b(x) = (a+b)(x) – (i)
Domain of a quadratic equation:
The domain of a quadratic function f(x) is the set of x-values for which the function is defined, and the range is the set of all the output values, as is the case with any function (values of f). Any x is a valid input for quadratic functions because their domain is typically the entire real line. Generally, for a quadratic equation the domain goes from (-∞ ,∞ ).

Given, f(x)= 2x² - 3x + 5 and  g(x)= x - 4
Let, y = c(x) denote the value of the function (f+g)(x).
Here, following available literature,
c(x) = (f+g)(x) = f(x) + g(x)   [Using (i)]
c(x) = (2x² - 3x + 5)+(x - 4) = 2x² - 3x + 5 + x - 4  = 2x² + (-2)x + 1
Therefore, y = c(x) = 2x² + (-2)x + 1 is the value of (f+g)(x).

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The distance of the given coordinates (See attached image) are:

AB) 10

CD) 7
EF) 6

GH) 15

JK) 12

To solve the distance between the above coordinates, one must use the following formula:

d = √[(x2 - x1)² + (y2 - y1)²]

AB)
Distance (d) = √[(7 - -3)² + (5 - 5)²]

= √(10)² + (0)²

= √100

Distance = 10

CD) Distance (d) = √[(-6 - 1)² + (-3 - -3)²]

= √(-7)² + (0)²

= √49

Distance = 7

EF) Distance (d) = √[(2-2)² + (-3-(-9))²]
= 6

GH)
Distance (d) = √[(6-6)² + (16-1))²]

= 15

JK)
Distance (d) = √[(-3-(-3))² + (12-0))²]

= 12

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Full Question:

Although part of your question is missing, you might be referring to this full question: See attached image.

Answer:

30

Step-by-step explanation:

150/5 = 30

30+30+30+30+30 = 150

The total cash due at signing is $3,700 at the local dealership..

The addition operation in mathematics adds values on each side of the operator.

For example 4 + 2 = 6

The total cash due is calculated as:

Down payment: $1,800

Security deposit: $400

Acquisition fee: $300

Total: $1,800 + $400 + $300

Apply the addition operation, and we get

= $3,700

Thus, the total cash due at signing is $3,700.

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The solution of the expression for r is given by:

\(r = \sqrt{\frac{3x}{2m\pi}}\)

To solve the expression for r, we must isolate r, as a function of the other variables.

The expression is modeled by:

\(m = \frac{3x}{\pi r^2h}\)

Then, isolating r:

\(mr^2 = \frac{3x}{2\pi}\)

\(r^2 = \frac{3x}{2m\pi}\)

\(r = \sqrt{\frac{3x}{2m\pi}}\)

Thus, the solution of the expression for r is given by:

\(r = \sqrt{\frac{3x}{2m\pi}}\)

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Answer:

28.27 or 28 rounded up.

Answer:

7.07 in²

Step-by-step explanation:

Diameter = 3 in ( shown in figure )

Radius = 1/2( diameter) = 1/2 (3) = 1.5 in

Area of a circle = πr²

Area = (3.14)(1.5)²

Area = (3.14)(2.25)

Area = 7.065 in

Area = 7.07 in² ( round off)