The length of a rectangle is nine more than twice the width. Write a simplified expression that could be used to find the perimeter of the rectangle

Answer:

The Truman high school has more

Step-by-step explanation:

Black man high school only has 247

The probability of selecting a girl and a boy for the class committee can be calculated by considering the total number of outcomes and the number of favorable outcomes.

Identify the number of girls and boys in the class. In this case, there are 5 girls and 7 boys.

Determine the total number of students in the class. That is 5 + 7 = 12.

Determine the number of ways to select two students from the class.

Here we can use the combination formula, which is written as C(n, r), where n is the total number of items and r is the number of items to be chosen.

In our case, n = 12 (total number of students) and r = 2 (number of students to be selected).

C(12, 2) = 12! / (2!(12-2)!) = 66.

Determine the number of favorable outcomes.

In this case, we want to select one girl and one boy. We multiply the number of girls by the number of boys: 5 x 7 = 35.

To find the probability, we divide the number of favorable outcomes (35) by the total number of outcomes (66):

Probability = Number of favorable outcomes / Total number of outcomes = 35 / 66 = 5/6.

So, the probability of selecting a girl and a boy for the class committee is 5/6.

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Answer:

Step-by-step explanation:

45 degree triangle:

30-60-90 degree triangle:

Side opposite to 30° angle is half the hypotenuse, this side is same as y:

Hypotenuse of 45° triangle is √2 time the side:

Back to 30°-60°-90° triangle:

Answer:

6 hours?

Step-by-step explanation:

12:00    0 hour(s)

1:00       1 hour(s)

2:00      2 hour(s)

3:00      3 hour(s)

4:00      4 hour(s)

5:00      5 hour(s)

6:00      6 hour(s)

The correct answer is option 6: Only 1, 2 and 3 are true.

Following are statements about the graph of the polynomial function f(x) = x³ + bx² + cx + d:

1) It intersects the vertical axis at one and only one point.

This is true because the vertical axis is the y-axis and the coefficient of x³ is 1, which means that the degree of the polynomial is odd and it must intersect the y-axis at only one point.

2) It intersects the x-axis in at most three points.

This is true because the degree of the polynomial is 3, which means it can intersect the x-axis at most 3 times.

3) It intersects the x-axis at least once.

This is also true because the degree of the polynomial is odd and as x approaches infinity or negative infinity, the value of the function will also approach infinity or negative infinity, which means it must cross the x-axis at least once.

4) As x→∞, f(x)→∞.

This is true because the coefficient of the term with the highest degree (x³) is positive, which means that as x approaches infinity, the value of the function also approaches infinity.

5) It has at most two turns.

This is false because a polynomial of degree 3 can have at most 2 turns or points of inflection, but it is not necessarily the case for every polynomial of degree 3.

Therefore, the correct answer is option 6: Only 1, 2 and 3 are true.

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Answer:  $130 money did Brenda and Hazel have all together before buying decorations and snacks.

Here, we have,

You want to know Brenda and Hazel's combined money when the ratio of their remaining balances is 1 : 4 after Brenda spent $58 and Hazel spent $37. They had the same amount to start with.

Setup

Let x represent the total amount the two women started with. Then x/2 is the amount each began with, and their fnal balance ratio is ...

 (x/2 -58) : (x/2 -37) = 1 : 4

Solution

Cross-multiplying gives ...

 4(x/2 -58) = (x/2 -37)

 2x -232 = x/2 -37 . . . . . . eliminate parentheses

 3/2x = 195 . . . . . . . . . . . . add 232-x/2

 x = (2/3)(195) = 130 . . . . . multiply by 2/3

Brenda and Hazel had $130 altogether before their purchases.

Alternate solution

The difference in their spending is $58 -37 = $21.

This is the same as the difference in their final balances.

That difference is 4-1 = 3 "ratio units", so each of those ratio units is $21/3 = $7.

Their ending total is 1+4 = 5 ratio units, or $35.

The total they started with is $58 +37 +35 = $130.

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complete question:

Brenda and Hazel decide to throw a surprise party for their friend, Aerica. Brenda and Hazel each go to the store with the same amount of money. Brenda spends $58 on decorations, and Hazel spends $37 on snacks. When they leave the store, the ratio of Brenda’s money to Hazel’s money is 1 : 4. How much money did Brenda and Hazel have all together before buying decorations and snacks?

Answer:

Step-by-step explanation:

Step-by-step explanation:

ANSWER

My answer is in the photo above

Answer:

false

Step-by-step explanation:

Answer:

Yes every fraction is a rational number

Answer:

In my opinion i believe a mixed fraction is a rational number

Step-by-step explanation:

but every fraction is a rational number

hope it helps

mark me brainliest pls

Answer:

Salary is 7000

He saved 2800 in may

The monthly salary of the Wai keong will be $7,000 and the amount of his savings will be $2,800.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Wai keong's monthly salary is twice the amount he save in April he save $3500 in April.

Let x be the monthly salary of the Wai keong.

Then the equation will be

x = 2 × $3500

x = $7,000

The monthly salary is $7,000.

In may, he saved $4200 less than the amount he spent.

Then the amount of money that he can save will be

⇒ $7,000 - $4,200

⇒ $2,800

The monthly salary of the Wai keong will be $7,000 and the amount of his savings will be $2,800.

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Answer:

? = 92°

Step-by-step explanation:

the chord- chord angle ? is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is

? = \(\frac{1}{2}\) (LM + AK) = \(\frac{1}{2}\) (120 + 64)° = \(\frac{1}{2}\) × 184° = 92°

Answer:

i think its c i could be wrong but just go with your gut felling

Step-by-step explanation:

Answer:

Um... u have no picture so we can't answer.

Step-by-step explanation:

Answer:

1 pair

Step-by-step explanation:

The top and bottom sides can go forever without crossing

Answer:

1

Step-by-step explanation: because the top and bottom a pair

In linear equation , 34 and 36 are two consecutive even numbers whose sum is 70.

What are a definition and an example of a linear equation?

let the numbers are X and X+2

we took X+2 as the diff btw two consecutive even numbers  is 1

x + x + 2 = 70

2x + 2 = 70

2x = 70 -2

2x = 68

 x = 68/2

 x = 34

and x + 2 = 34 + 2 = 36

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The first step to solve the question presented is to calculate the population density for each country, which is defined as the ratio from the population and the area of the country, as follows:

Let us to perform the calculation for both countries with data in the table.

From the solution presented we are able to conclude that the country with the highest population density from those in the table is Mexico

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Sorted data :

388, 389, 389, 390, 391, 393, 393, 393, 396, 398, 399, 400, 400, 400, 401, 402, 402, 403, 403, 403, 404, 404, 404, 405, 405, 405, 406, 406, 406, 407, 407, 408, 408, 408, 409, 409, 411, 412, 412, 413, 414, 416, 416, 416, 419, 420, 420, 424, 424, 1650

n = number of observations = 50

1) first quartile of the data (Q1) : 1/4(n+1)th term

1/4(51)th term= 12.75th term = 400

2)3rd quartile :

3/4(51)th term = 38.25th term = 412

3)median of data (Q2) :

1/2(51)th term = 25.5 th term = 405

4) mean of data

Σx / n = 21501 / 50 = 430.02

5)Outlier : Values that are greater than Q3 + 1.5 IQR or less than Q1 - 1.5 IQR

IQR = Q3 - Q1 = 412 - 400 = 12

> Q3 + 1.5 IQR

> 412 + 1.5(12) = > 430

< Q1 - 1.5 IQR = < 400 - 1.5(12) = 382

Outlier = 1650

Median after outlier is deleted :

1/2(50) th term = 25 th term = 405

Mean after outlier is deleted :

Σx / n = 19851 / 49 = 405.122

The linear equation obtained is y = 0.3X + 18.3

A linear equation is an equation that can be written in the form ax + b = 0, where a and b are real numbers and x represents an unknown variable. The solutions of linear equations are often graphed on a coordinate plane, forming a straight line. Linear equations can be used to model many real-world situations, such as population growth, the rate of change of a physical quantity, or the total cost of an item. Linear equations can also be used to solve systems of equations, where several equations must be solved simultaneously.

Given that data :
x = year ;
y = trunk diameter, in inches
Year ________trunk diameter
1 __ 18.6
3 __ 19.2

5 __ 19.8
7 __ 20.4
9 ___21.0
11 __ 21.6
13 __ 22.2
Using the linear regression calculator :
The linear equation obtained is :
y = 0.3X + 18.3
Where ;
Slope = 0.3 ; intercept, c = 18.3

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Answer: B. (6, ∞)

Step-by-step explanation:

    The domain of the function is all of the inputs. On a graph, it is the x-values.

    See the attached image for a visual and further explanation.

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Answer: b

Step-by-step explanation:

Answer:

The number of ways to distribute 30 batteries among the six different types is 33,649.

Step-by-step explanation:

It is provided that a camera shop stocks six different types of batteries, one of which is type A7b.

Also, the camera shop has only twelve A7b batteries but at least 30 of each of the other types.

Combinations would be used to determine the number of ways to distribute 30 batteries among the six different types. Here repetition is allowed.

\(C(n+r-1, r)={n+r-1\choose r}=\frac{(n+r-1)!}{r!(n-1)!}\)

The number of A7b batteries is 12.

Then the number of ways to distribute 30 batteries among the six different types is:

\(C(n+(r-k)-1, (r-k))={n+(r-k)-1\choose (r-k)}=\frac{(n+(r-k)-1)!}{(r-k)!(n-1)!}\)

The number of ways is:

\(C(n+(r-k)-1, (r-k))={n+(r-k)-1\choose (r-k)}\)

                                          \(=\frac{(n+(r-k)-1)!}{(r-k)!(n-1)!}\\\\=\frac{(6+(30-12)-1)!}{(30-12)!\times (6-1)!}\\\\=\frac{23!}{18!\times 5!}\\\\=\frac{23\times 22\times 21\times 20\times 19\times 18!}{18!\times 5!}\\\\=\frac{23\times 22\times 21\times 20\times 19}{ 5!}\\\\=33649\)

Thus, the number of ways to distribute 30 batteries among the six different types is 33,649.

The probability that a randomly selected person from this sample was a friend of the bride OR of the groom is 0.9875.

Given that, at a wedding each guest asked the 80 guests whether they were a friend of the bride or of the groom.

What is the probability?

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

Total Number of Guests which forms the Sample Space, n(S)=80

Let the event (a friend of the bride) =A

Let the event (a friend of the groom) =B

n(A) =59

n(B)=50

Friends of both bride and groom,

So,

n(A∪B)=n(A)+n(B)-n(A∩B)

n(A∪B)=59+50-30

n(A∪B)=79

The number of Guests who was a friend of the bride OR of the groom = 79

Thus,

P(A∪B)=n(A∩B)/n(S)

= 79/80

= 0.9875

Hence, the probability that a randomly selected person from this sample was a friend of the bride OR of the groom is 0.9875.

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Answer:

median = 11

Step-by-step explanation:

The median is represented by the vertical line inside the boxplot

That is the median = 11

Answer:

11

Step-by-step explanation:

Where the line is ,it's at 11.

Also i got it correct on khan

Answer: 0.00002163799

Step-by-step explanation:

Answer:

46,215

Step-by-step explanation:

you just have to divide the bigger number first and then the smallest

Answer:

The value of B is 7.

B = 7

Answer:

B = 7

Step-by-step explanation:

first 100 + 47 + 10 + 100 = 257

second 200 + 50 = 250

257 - 250 = 7

Answer:

the value of Jericho's house in 2019 is approximately $698,597.60.

Step-by-step explanation:

To solve this problem, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

where:

A is the final amount (the value of the house in 2019)

P is the initial amount (the value of the house in 2010, which is $450,000)

r is the annual interest rate (which is 5%, or 0.05, in this case)

n is the number of times the interest is compounded per year (which is 1, since the interest is compounded annually)

t is the time period (in years)

Using the formula, we can find the value of Jericho's house in 2019 as follows:

A = P(1 + r/n)^(nt)

= $450,000(1 + 0.05/1)^(1*9)

= $450,000(1.05)^9

= $450,000(1.551328)

= $698,597.60

Therefore, the value of Jericho's house in 2019 is approximately $698,597.60.

Answer:

Option D

Step-by-step explanation:

GIVEN :-

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

Pythagoras Theorem states that measure of :-

Hypotenuse² = Base² + Perpendicular²

SOLUTION :-

The triangle given in the question is a right-angled triangle. So , Pythagoras theorem can be applied in it.

\(=> 5^2 = x^2 + x^2\)

\(=> 2x^2 = 5^2\)

\(=> x^2 = \frac{5^2}{2}\)

\(=> x = \sqrt{\frac{5^2}{2} } = \frac{5}{\sqrt{2} }\)

Rationalizing the value ,

\(=> x = \frac{5}{\sqrt{2} } \times \frac{\sqrt{2} }{\sqrt{2} } = \frac{5\sqrt{2} }{2}\)

Answer:

P = 1/6

Pc is probability of teaching a biology course = 1/3

P = 1/2 * Pc = 1/6    since Pc can be either in morning or afternoon