HELP! I will give brainliest!
Felicity is placing a rectangle in the coordinate plane. She knows that the longer side of the rectangle is 3 times its shorter side. She places the longer side on the x-axis.

What coordinates should she assign to the top-right vertex of the rectangle?

The answer is 1:10 because 4 to 40,

there is 1 for every 10.

So in fractional form your answer is 1/10.

The rate is 0.1 laps in 1 minute, or 1//10, 1 lap in 10 minutes.

Simply put, to simplify is to make something simpler. Simplifying an equation, fraction, or issue in mathematics entails taking something complex and making it simpler. The issue is made simpler by calculations and problem-solving strategies. We can simplify fractions by removing all common elements from the numerator and denominator and putting the fraction in its simplest/lowest form.

It is possible to simplify mathematical formulas by merging and grouping related terms. This makes the term understandable.

Given,

Cynthia ran 4 laps in 40 min.

ratio of laps to minutes is

4:40 = 1:10

1/10 = 0.1/1

so 0.1 laps in 1 minute or 1 lap in 10 minutes.

Hence the rate is 1 lap in 10 minutes: 1/10;

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Answer:

A. 569(0.18)

Step-by-step explanation:

sorry for the like 3 years late answer- but I hope this helps someone. <3

- EDGE 2020

Final answer:

To calculate the commission, multiply the commission rate by the sale price.

Explanation:

To calculate the commission she will receive from the sale, we can use the expression: commission = (commission rate) * (sale price).

In this case, the commission rate is 18 percent, which can be written as 0.18 in decimal form.

Therefore, the expression for the commission is: commission = 0.18 * $569 = $102.42.

So, the salesperson will receive approximately $102.42 in commission from the sale.

I know 100% that isnt right I did a test it is NOT D

The PMF of the number of selecting basalt specimen is [tex]\boxed{\bf P=^{10}C_{x}(0.5)^{x}(0.5)^{10-x}}[/tex] and the probability of selecting all specimen of one of two type of rocks is [tex]\boxed{\bf 0.0325}[/tex].

Further explanation:

Concept used:

The probability of an event [tex]E[/tex] can be calculated as follpws:

[tex]\boxed{P(E)=\dfrac{n(E)}{n(S)}}[/tex]

Here, [tex]n(E)[/tex] is the number of favorable outcomes in an event [tex]E[/tex] and [tex]n(S)[/tex] is the number of element in sample space [tex]S[/tex].

The probability mass function of getting exactly [tex]r[/tex] success in [tex]n[/tex] independent trial in an experiment can be expresses as follows:

[tex]\boxed{P=^nC_{r}p^{r}q^{n-r}}[/tex]

Here, [tex]p[/tex] is the success probability and [tex]q[/tex] is the failure probability of an event.

Calculation:

A geologist has collected [tex]10[/tex] specimens of ballistic rock and geologist collected [tex]10[/tex] specimens of granite.

The total number of specimens is [tex]20[/tex].

The sample space is the collection of all possible outcomes in an experiment.

Therefore, the total possible outcomes are [tex]20[/tex].

The probability of selecting ballistic rock can be calculated as follows:

[tex]\begin{aligned}P_{b}&=\dfrac{10}{20}\\&=\dfrac{1}{2}\\&=0.5\end{aligned}[/tex]

The probability of selecting granite can be calculated as follows:

[tex]\begin{aligned}P_{g}&=\dfrac{10}{20}\\&=\dfrac{1}{2}\\&=0.5\end{aligned}[/tex]

The PMF of selecting exactly [tex]x[/tex] basalt specimen for analysis can be calculated as follows:

[tex]\boxed{P=^{10}C_{x}(0.5)^{x}(0.5)^{10-x}}[/tex]

Consider [tex]A[/tex] as an event that all rocks are selecting from one rock and [tex]n(A)[/tex] as the number of favorable outcomes in an event [tex]A[/tex].

The number of favorable outcomes in an event [tex]A[/tex] can be calculated as follows:

[tex]\begin{aligned}n(A)&=\left(^{10}C_{10}\cdot ^{10}C_{5}\right)+\left(^{10}C_{10}\cdot ^{10}C_{5}\right)\\&=\left(\dfrac{10!}{10!\cdot (10-10)!}\cdot \dfrac{10!}{5!\cdot (10-5)!}\right)+\left(\dfrac{10!}{10!\cdot (10-10)!}\cdot \dfrac{10!}{5!\cdot (10-5)!}\right)\\&=\dfrac{10\cdot 9\cdot 8\cdot 7\cdot 6}{5\cdot 4\cdot 3\cdot 2\cdot 1}+\dfrac{10\cdot 9\cdot 8\cdot 7\cdot 6}{5\cdot 4\cdot 3\cdot 2\cdot 1}\\&=252+252\\&=504\end{aligned}[/tex]

The total possible outcomes of selecting [tex]15[/tex] rocks in [tex]20[/tex] rocks can be calculated as follows:

[tex]\begin{aligned}n(S)&=^{20}C_{15}\\&=\dfrac{20!}{15!\cdot (20-15)!}\\&=\dfrac{20\cdot 19\cdot 18\cdot 17\cdot 16\cdot 15!}{15!\cdot 5!}\\&=\dfrac{20\cdot 19\cdot 18\cdot 17\cdot 16}{5\cdot 4\cdot 3\cdot 2\cdot 1}\\&=19\cdot 3\cdot 17\cdot 16\\&=15504\end{aligned}[/tex]

The probability [tex]P(A)[/tex] of selecting all specimen of one of two type of rocks can be calculated as follows:

[tex]\begin{aligned}P(A)&=\dfrac{504}{15504}\\&=0.0325\end{aligned}[/tex]    

Thus, the probability that all specimens of one of the two types of rock are selected for analysis is [tex]\boxed{\bf 0.0325}[/tex].

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Answer details:

Grade: College school

Subject: Mathematics

Chapter: Probability

Keywords: Basalt specimen, geologist, rock, granite, PMF, probability mass function, exactly, probability, possible outcomes, favorable, failure success,  , event, experiment, trial, P=n(E)/n(S).

The PMF of the number of basalt specimens selected for analysis ranges from P(X = 0) to P(X = 10), and the probability of selecting all specimens of one type of rock (either basalt or granite) is 0.000061036.

To solve this problem, we need to find the probability mass function (PMF) of the number of basalt specimens selected for analysis and the probability of selecting all specimens of either basalt or granite.

Given information:

- There are 10 specimens of basaltic rock and 10 specimens of granite.

- The laboratory assistant will randomly select 15 specimens for analysis.

Step 1: Find the PMF of the number of basalt specimens selected for analysis.

Let X be the random variable representing the number of basalt specimens selected for analysis.

The possible values of X range from 0 to 10 (since there are 10 basalt specimens).

The PMF of X can be calculated using the binomial probability formula:

P(X = k) = (C(n, k) [tex]\times[/tex] ([tex]p^k[/tex]) [tex]\times[/tex] [tex](1-p)^{(n-k)}[/tex])

where:

n = total number of trials (selecting 15 specimens)

k = number of successes (number of basalt specimens selected)

p = probability of success (selecting a basalt specimen) = 10/20 = 1/2

q = probability of failure (selecting a granite specimen) = 1 - p = 1/2

The PMF of X for different values of k is as follows:

P(X = 0) = C(15, 0) [tex]\times[/tex] [tex](1/2)^0[/tex] [tex]\times[/tex] [tex](1/2)^15[/tex] = 0.000030518

P(X = 1) = C(15, 1) [tex]\times[/tex] [tex](1/2)^1[/tex] [tex]\times[/tex] [tex](1/2)^14[/tex] = 0.001525879

P(X = 2) = C(15, 2) [tex]\times[/tex] [tex](1/2)^2[/tex] [tex]\times[/tex] [tex](1/2)^13[/tex] = 0.030517578

Step 2: Find the probability of selecting all specimens of one type of rock.

The probability of selecting all 10 basalt specimens = P(X = 10) = C(15, 10) [tex]\times[/tex] (1/2)^10 [tex]\times[/tex] (1/2)^5 = 0.000030518

The probability of selecting all 10 granite specimens = P(X = 0) = 0.000030518

Therefore, the probability of selecting all specimens of one type of rock (either basalt or granite) is:

P(X = 10) + P(X = 0) = 0.000030518 + 0.000030518 = 0.000061036

In summary, the PMF of the number of basalt specimens selected for analysis ranges from P(X = 0) to P(X = 10), and the probability of selecting all specimens of one type of rock (either basalt or granite) is 0.000061036.

Answer:

Step-by-step explanation:

We need to find the answer of the expression [tex]a\cdot (b\times c)[/tex]

The required expression is [tex]a\cdot (b\times c)=0[/tex]

The vectors are

[tex]a=\hat{i}-3\hat{j}+1\hat{k}[/tex]

[tex]b=4\hat{i}+\hat{j}+\hat{k}[/tex]

[tex]c=9\hat{i}-\hat{j}+3\hat{k}[/tex]

Solving the term in the bracket

[tex]b\times c=\begin{vmatrix}\hat{i} & \hat{j} & \hat{k} \\ 4 & 1 & 1 \\ 9 & -1 & 3 \end{vmatrix}\\ =\hat{i}(3+1)-\hat{j}(4\times3-9\times1)+\hat{k}(4\times-1-9\times 1)\\ =4\hat{i}-3\hat{j}-13\hat{k}[/tex]

[tex]a\cdot (b\times c)=(\hat{i}-3\hat{j}+1\hat{k})(4\hat{i}-3\hat{j}-13\hat{k})\\ =1\cdot 4+(-3)\cdot (-3)+1\cdot (-13)\\ =4+9-13\\ =13-13=0[/tex]

So, [tex]a\cdot (b\times c)=0[/tex]

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Option: d  is the correct answer

d.    They are contained in multiple planes.

Since, the three points are collinear.

This means that there is a line which pass through these three given points and as we know that a line always lie in a plane so all the three points will be coplanar and there may be multiple planes which contain a line.

Also, a triangle is formed with the help of three non-collinear points.

         Hence, the correct option is:

                   Option: d

2/7 = x/42

multiply 42 *2 = 84

then divide by 7

84 /7 =12

x = 12

The percent reduction in the price was approximately 32%.

Percentages are similar to fractions, but the whole part of the fraction is always set as constant, which is always 100.

To convert a fraction to a percentage, we multiply it by 100.

To convert a percentage to a fraction, we divide it by 100.

In the question, we are given that a 20-inch flat panel computer monitor is on sale for 249.99., and it was reduced by $80.00 from the original price.

We are asked to find the percent reduction in price.

The price reduction = $80.00.

The original price = $249.99.

Therefore, the fraction of reduction in the price can be shown as the ratio of the reduction in the price to the original price, that is, the

Fraction = $80.00/$249.99 = 0.320013.

To convert a fraction to a percentage, we multiply it by 100.

Therefore, the percentage of reduction = 0.320013 * 100% = 32.0013% ≈ 32%.

Therefore, the percent reduction in the price was approximately 32%.

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The inequality   is , -3<x<4. Thus, the correct interval notation for the given inequality is (-3, 4),

The question concerns how to express the inequality -3<x<4 in interval notation. Interval notation is a way to denote a range of numbers on the real line where certain numbers are included or excluded in the set.

The notation uses brackets and parentheses to indicate closed or open intervals, respectively. A closed interval means the endpoint is included, while an open interval means the endpoint is not part of the set.

In this instance, the inequality suggests that x can take any value between -3 and 4, but cannot equal -3 or 4.

Thus, we use parentheses to denote that both -3 and 4 are not contained within the interval.

Therefore, the correct interval notation for the given inequality is (-3, 4), where the round parentheses indicate that -3 and 4 are not included in the solution set.

Answer:

An angle is defined as two rays with a common endpoint, so CAB (or BAC) is an angle. A line is described as an infinite set of points that extend forever in either direction, which these rays also do.

What did you include in your response? Check all that apply.  (You should have all of these)

Angles are rays with a shared endpoint.

Lines extend forever in either direction.

Rays AB and AC extend forever in either direction.

The number of different arrangements of the colors that can be formed will be 5.13498 x 10²⁶.

A permutation is an act of correctly arranging things or pieces. Combinations are a method of taking stuff or pieces from an assortment of items or sets in which the order of the items is irrelevant.

Assume that 18 red globules, 12 yellow dabs, eight blue dots, and 12 dark dots are to be hung in succession.

The total number of bread will be calculated as,

Total bread = 18 + 12 + 8 + 12

Total bread = 50

Then the number of different arrangements of the colors that can be formed will be given as,

⇒ 50! / (18! x 12! x 8! x 12!)

Simplify the expression, then we have

⇒ 50! / (18! x 12! x 8! x 12!)

⇒ 5.13498 x 10²⁶

The number of different arrangements of the colors that can be formed will be 5.13498 x 10²⁶.

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The number of arrangements is: [tex]\(\frac{{50!}}{{18!12!8!12!}}\)[/tex]

To calculate the number of different arrangements of the beads, we can use the formula for permutations of multiset:
[tex]\(\frac{{n!}}{{n_1!n_2!n_3!n_4!}}\)[/tex]

where:

n is the total number of items to arrange,

n_1, n_2, n_3, n_4 are the numbers of indistinguishable items of each type.

For our beads, we have:

Total beads n = 18 (red) + 12 (yellow) + 8 (blue) + 12 (black) = 50 beads,

n_1 = 18 (red),

n_2 = 12 (yellow),

n_3 = 8 (blue),

n_4 = 12 (black).

So, the number of arrangements is: [tex]\(\frac{{50!}}{{18!12!8!12!}}\)[/tex]

This value gives us the total number of different color arrangements possible when stringing these beads in a row.

The number of gallons of water initially present in the tub will be 15 gallons.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A tub of water is discharged at a pace of 3 gallons each moment. The condition y - 12 = - 3(x - 1) models how much water remaining, where x is time (in minutes) and y is how much water is left (in gallons).

Simplify the equation into a slope intercept form, then we have

y - 12 = - 3(x - 1)

y - 12 = - 3x + 3

y = - 3x + 15

The number of gallons of water initially present in the tub will be 15 gallons.

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Answer:

22119 to the nearest hundred is 22100

Step-by-step explanation:

When rounding the number to the nearest hundred. Follow the given rules:

When rounding to the nearest hundred, look at the TENS DIGIT of the number.

In other words if the number at the tenth position is less than 5 then we will convert all the digits after the hundred to zeros

Now look at the given number which is: 22119

The number at the hundredth position is 1.

And the number at the tenth position is also 1.

Then according to the defined rule if the number at the tenth position is less than 5  then we will convert all the digits after the hundred to zeros.

So, for the given number (22119) we just convert all digits after the hundred to zeros

Therefore, 22119 to the nearest hundred is 22100...

Answer: The value of x is 0.

Explanation:

Since we have given that

[tex]\frac{1x}{2}=\frac{-1x}{2}[/tex]

According to question,

If she subtracts 4 from both sides, our equation becomes,

[tex]\frac{1x}{2}-4=\frac{-1x}{2}-4\\\\\text{ by transposing the like terms on the both sides, we get}\\\\\frac{1}{2}+\frac{1x}{2}=-4+4\\\\x=0[/tex]

Hence, the value of x is 0.