Combine like terms: 4 - 3m - 1 + 2m

Answer:

It contains 0 or 2 triangles.

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

Answer:

p=2

Step-by-step explanation:

4p+2≤10

    -2   -2

4p≤8

divide by 4

p≤2

Answer:

p ≤ 2

Step-by-step explanation:

Complete Question:

The data below represents the number of desks on each floor of Texter Corporate. 54, 60, 65, 66, 67,69, 70, 72,73, 75,76 Which box plot correctly summarizes the data? 

(See attached picture below for options showing possible box plot that summarizes the data)

Answer:

Option B

Step-by-step Explanation:

Given the data points 54, 60, 65, 66, 67,69, 70, 72,73, 75,76, to select the correct option of box plot that correctly summarizes the data, we need to ascertain 5 important values which are usually referred to as "the five-number summary). They are the min, max, median, Q1, and Q3.

Thus, from the data set given,

Min. = 54 (this is the least value in the data set. One of the horizontal lines, which are called the whiskers, is drawn down to 54 as the minimum data point.)

Max = 76 (this is the highest value in the data set. The other horizontal line is drawn up to 76, the maximum data point.)

Median = 69 (since the number of data set is 11, the median which is the middle data point would be the 6th data point. 69 is the 6th and middle value in the data point and it is represented in the box plot by the vertical line that dividends the box in the box plot)

Q1 = 65 (this is middle value of the bottom half of the given data set, if we exclude the median. This is the data point where the rectangular box starts from.)

Q2 = 73 (this is the middle value of the top half of the data sets from the median point. This is the data point where the rectangular box ends on the box plot)

Therefore, using the above values of the five-number summary, the box plot that correctly summarizes the data is option B. The other box plots are incorrect.

Answer:

The answer is B.

Step-by-step explanation:

Answer:

Option 4.

Step-by-step explanation:

Reciprocal of the second fraction turns the product into the division of the two fractions, which equals to 1.

\(a/3(a/3)\)

\(a/3 \div 3/a=1\)

Two fractions are said to be the reciprocal or multiplicative inverse of each other, if their product is 1.

Answer:

D. a/3 divided by 3/a = 1

Step-by-step explanation:

edge

Answer:

790

Step-by-step explanation:

7098uuilu4645

Jocy, this is the solution:

Can you see the board here? Ok, Jocy. Follow me here! Thanks! :=)

Total bill = $ 31.84

Coupon = 15% or 0.15

Bill after Trey and his friends paid using the coupon = 31.84 * (1 - 0.15)

Bill after Trey and his friends paid using the coupon = 31.84 * 0.85

Bill after Trey and his friends paid using the coupon = 27.06

Now, we split the bill evenly:

27.06 / 3

$ 9.02

Do you understand the solution?

If you don’t need any further explanation, I’ll go ahead and end our session. Feel free to let me know how I did by rating our session - all feedback is welcome and appreciated. Thanks for coming today!

Remember that the solutions from tutors are always available in your profile! :=)

the correct option is D:

" The inverse relation must pass the vertical line test."

Remember that a relation is only a function if each value in the domain is only mapped into a single value in the range.

All functions need to pass what is called the "vertical line test" this means that if you draw a vertical line on the graph of the function, the vertical line can intersect the graph at most one time. If the vertical line intercepts the graph two or more times, then it is not a function.

From this we conclude that the correct option is D:

" The inverse relation must pass the vertical line test."

If you want to learn more about functions:

https://brainly.com/question/2328150

#SPJ1

Answer:

120

Step-by-step explanation:

5!

=5×4!

=5×4×3×2×1

=120

Step-by-step explanation:

5!

= 5×4×3×2×1

=20×6

=120 is the correct answer

ANSWER:

3rd option: 26.18 inches

STEP-BY-STEP EXPLANATION:

The length of the arc is calculated by a proportion between the circumference, which is the measure of the 360° of the circle, and the length of the 300°.

Therefore, the first thing is to calculate the circumference just like this:

Now, if we calculate the length of the arc using the proportion, like this:

Therefore, the correct answer is 3rd option: 26.18 inches

Answer:

Step-by-step explanation:

Perimeter is equal to 2 times the length added to 2 times the width.

In this questions the perimeter = 40

width = w

length = 3w

Equation is

40 = 2(3w) + 2(w)

40 = 6w + 2w

40 = 8w

divide each side by 8

40/8 = 8w/8

5 = w

So the length = 15 meters and the width is 5 meters.

Length is 3 times the width of 5 = 15

Answer: 69.09% is the percentage. 0.6909 is the decimal

Step-by-step explanation:

hope this helps! you don't have to but maybe mark as brainliest?

The percent decrease from June 2022 to August 2022 was 15%.

The percentage is defined as a ratio expressed as a fraction of 100.

During the month of June 2022, the average price per gallon of gas was $4.42.

During August of 2022, the average price per gallon of gas dropped to $3.75.

As per the question, the required solution would be as:

100 × (4.42 - 3.75) / 4.42

= 15.1583

Rounding to the nearest percent, we get

= 15%

Thus, the percent decrease was 15%.

Learn more about the percentages here:

brainly.com/question/24159063

#SPJ1

The following that are possible units for measuring mass in the metric system include the following below:

B. Kilogram

D. Gram.

This is a quantitative measure of inertia and it is referred to as the amount of matter which is present in a given body.

Options B and D both have the suffix "gram" which represents a metric system and are used in measuring mass unlike anagram which isn't a form of measurement which was why they were chosen as the correct set of options.

Read more about Mass here https://brainly.com/question/1838164

#SPJ1

Answer:

13.09 square cm

Explanation:

The area of a sector is calculated using the formula:

From the diagram:

• θ = 60°

• r= 5 cm

Therefore:

The area of the sector is 13.09 square cm (rounded to the nearest hundredth).

The four rectangles can be painted with 7 different paints in 840 ways.

A permutation is an arrangement of objects in a definite order. The members or elements of sets are arranged here in a sequence or linear order. For example, the permutation of set A={1,6} is 2, such as {1,6}, {6,1}, there are no other ways to arrange the elements of set A.

The formula for permutattion is;

\(P_r_n = \frac{n!}{(n-r)!} \\\)

where r = 4

n = 7

Substituting the values for n and r

\(P = \frac{7!}{(7-4)!}\)

\(P = \frac{7!}{3!}\)

P = 840 ways.

Learn more about permutations here: https://brainly.com/question/1216161

#SPJ1

The greatest common divisor is 12. The linear combination of 3984 and 588 is given by 12 = 61×588 - 9×3984.

The extended Euclidean algorithm is an algorithm to compute integers x and y such that: ax+by=gcd(a,b)The extended Euclidean algorithm can be viewed as the reciprocal of modular exponentiation.

By reversing the steps in the Euclidean algorithm, it is possible to find these integers x and y. The whole idea is to start with the GCD and recursively work our way backwards. This can be done by treating the numbers as variables until we end up with an expression that is a linear combination of our initial numbers.

First use Euclid's algorithm to find the GCD:

3984 = 588 ×6 + 456

588 = 456×1 +132

456= 132 ×3 + 60

132 =  60×2 +12

60 = 12×5+0

The last non-zero remainder is 12.

Thus, the greatest common divisor is 12.

Now we use the extended algorithm:

12 = 132 +(-2)×60

    = 132 + (-2)×(456 + (-3)×132))

    = (-2)×456 + 7×132

    = (-2)×456 + 7×(588 +(-1)×456))

   = 7×588 + (-9)×(3984 +(-6)×588))

   = 61×588 + (-9)×3984

Thus, a = -9 and b = 61.

Thus, the linear combination of 3984 and 588 is given by 12 = 61×588 - 9×3984.

To learn more about greatest common divisor, visit brainly.com/question/2292401

#SPJ4

Step-by-step explanation:

I hope this answer is helpful ):

Answer:

59

Step-by-step explanation:

The given expression can be factorized as,

Thus, both Chip and Jake gives the right solution.

Thus, option (d) is the correct solution.

Answer:

Step-by-step explanation:

8ab = 4a × (2b)

12a² = 4a × (3a)

Then

LCM(8ab , 12a²) = 4a × (2b) × (3a)

                          = (4×2×3) × (a×a×b)

                          = (24) × (a²×b)

                          = 24a²b

The marginal distribution of girls based on the percentages will be 58.3%.

The number for boys is given as:

= 50 + 30 + 45

= 125

The number of females is given as:

= 50 + 80 + 45

= 175

The percentage of females will be:

= 175/(125 + 175) × 100

= 175/300 × 100

= 58.3%

To learn more on Percentage click:

https://brainly.com/question/24159063

#SPJ1

Answer:

Step-by-step explanation:

The text is a statistics problem that asks to find the probability of a certain range of values in a normal distribution. A normal distribution is a bell-shaped curve that shows how data values are spread around the mean. The mean is the average of all the data values, and the standard deviation is a measure of how much the data values vary from the mean. To solve this problem, we can use the following steps:

Convert the given range of values to standard scores or z-scores. A z-score tells us how many standard deviations a value is away from the mean. To find the z-score, we use the formula: z=σx−μ​

where x is the value, μ is the mean, and σ is the standard deviation. For example, to find the z-score for 33.5 psi, we plug in the values: z=233.5−35​=−0.75

This means that 33.5 psi is 0.75 standard deviations below the mean. Similarly, to find the z-score for 36 psi, we plug in the values: z=236−35​=0.5

This means that 36 psi is 0.5 standard deviations above the mean.

Use a z-table to find the area under the curve for each z-score. A z-table is a table that shows the probability of getting a z-score less than or equal to a given value. For example, to find the area under the curve for -0.75, we look up the row for -0.7 and the column for 0.05 in the z-table and get 0.2266. This means that there is a 22.66% chance of getting a z-score less than or equal to -0.75. Similarly, to find the area under the curve for 0.5, we look up the row for 0.5 and the column for 0 in the z-table and get 0.6915. This means that there is a 69.15% chance of getting a z-score less than or equal to 0.5.

Subtract the smaller area from the larger area to find the area between the two z-scores. This area represents the probability of getting a value between 33.5 and 36 psi in the normal distribution. For example, to find the area between -0.75 and 0.5, we subtract: 0.6915−0.2266=0.4649

This means that there is a 46.49% chance of getting a value between 33.5 and 36 psi in the normal distribution.

Multiply the area by 100 to convert it to a percentage and write it with the appropriate units: The percentage of tires that are inflated to a pressure between 33.5 and 36 psi is 0.4649×100=46.49%

Answer:

Sorry po just seen your email and I

Answer:

Sorry po just seen your email and I

Answer:

y = 10.5x - 8.25

Step-by-step explanation:

m = (44.25 - 12.75)/(5 - 2) = 10.5

y = mx + b

y = 10.5x + b

12.75 = 10.5 × 2 + b

b = -8.25

y = 10.5x - 8.25

According to the properties of the standard normal distribution, approximately 99.7% of the values lie within three standard deviations of the mean. Therefore, the answer is 99.7%.

To determine the percentage of videos on the streaming site that are between 264 and 489 seconds, we need to calculate the area under the normal curve within that range. Since the distribution is approximately normal with a mean of 264 seconds and a standard deviation of 75 seconds, we can use the properties of the standard normal distribution to find the desired percentage.

First, we need to convert the values 264 and 489 to z-scores, which represent the number of standard deviations a particular value is away from the mean. The z-score formula is given by:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get:

z1 = (264 - 264) / 75 = 0

z2 = (489 - 264) / 75 = 3

Next, we can use a standard normal distribution table or a calculator to find the area under the curve between z = 0 and z = 3. The area represents the percentage of videos falling within that range. The answer is 99.7% .

For more such questions on normal distribution

https://brainly.com/question/4079902

#SPJ8

The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

for more search question point  

https://brainly.com/question/28162977

#SPJ8

From the solution;

x = 62.62°

y = 8.9 cm

The sine rule (also known as the law of sines) is a mathematical formula that relates the sides and angles of a triangle. Specifically, it relates the ratios of the lengths of the sides of a triangle to the sine of the opposite angles.

By the use of the sine rule;

a/Sin A = c/Sin C

Sin C = cSin A/a

C = Sin-1(cSin A/a)

C = Sin-1(7.8 * sin 66.4/9.2)

C = 50.98°

B = 180 - (50.98° + 66.4)

B = 62.62°

Then;

a/Sin A = b/Sin B

9.2/Sin66.4 = b/Sin 62.62

b = 9.2 * Sin 62.62/Sin66.4

b = 9.2 * 0.89/0.92

b = 8.9 cm

Learn more about sine rule:https://brainly.com/question/30339234

#SPJ1

Answer:

Step-by-step explanation:

I am married. I can tell you, I'd never give any answer but yes, no matter how I felt about her at the time.