Add the linear expressions.
(-1.41x - 0.01) + (5.62x + 2.73)

Answer:

y - 1= 0.25(x - 6)

Step-by-step explanation:

because.

The probability that the 10th will be able to sit on his/her original seat when the 1st person has randomly changed his/her seat is 7/9

Probability :

In Mathematics, Probability stands for the ratio of the number of favorable outcomes to the total number of outcomes in a random experiment. It is used to predict how likely an event can happen.

Probability of an event,

P(E) = No of favorable outcomes / total number of outcomes

Here we have,

10 people always get on a bus in the same order and sit in the same places.

The 1st person has randomly changed his/her seat

Except for 1 remaining number of seats is 9

If 1st person changes his/her place with the remaining 9 seats the number of ways that 1st person can be seated is 9  

In 9 ways 10th will be able to sit on his/her original seat when the 1st person is seated in 2 to 9 seats i.e 7 seats      

Therefore,

The number of favorable outcomes that the 10th person will be able to seat in his/her original seat = 7  

From the above observations,

The probability that the 10th will be able to sit on his/her original seat

= 7 / 9  

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Answer:

Step-by-step explanation:

The two marked angles are same side interior angles.

As per definition, these angles are supplementary, in other words they sum to 180°.

Show this as equation and solve for x:

Answer:

✨ sorry i need points, bro-♡

Step-by-step explanation:

Answer:204.2

Step-by-step explanation:

Answer:

0.08

Step-by-step explanation:

1) Make the divisor a whole number by moving the decimal point.

[tex]505 \sqrt{4.04} [/tex]

2) Move the decimal point in the dividend the same number of places.

[tex] 505\sqrt{40.4} [/tex]

3) Divide

[tex]505 \sqrt{40.4} = 12.5[/tex]

4) Line up decimal point in the quotient with decimal point in the dividend.

[tex]4.04 \div 50.5 = 40.4 \div 505 = 0.08[/tex]

For this problem, we are given the mean and standard deviation for the height of men. We need to calculate the minimum height to be considered in the top 10% of tallest men, and the maximum height to be considered in the shortest 15% of men.

The first step we need to solve this problem is to calculate the z-score. The z-score can be found by using the following expression:

For the first situation, we want a z-score for the top 10% of tallest men. This means that we need to go on the z-table and find the z-score that represents 90% of probability to the left because this will give us the minimum height to be at the 10% tallest. From the z-table we have:

Now we can use the z-score expression to find the value of x. We have:

The man should be at least 71.85 inches tall to be considered among the 10% of tallest men.

For the second situation, we have something similar. We need to find the maximum height for a man to be considered between the 15% of men. We need to go into the z-table and find the z-score that produces a result close to 0.15. We have:

Now we need to use the z-score expression to determine the height:

In order to be considered among the smallest men, someone needs to be 64.88 inches tall.

Answer:

C

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

4x - 2y = 14 ( subtract 4x from both sides )

- 2y = - 4x + 14 ( divide through by - 2 )

y = 2x - 7 ← in slope- intercept form

The perimeter of the triangle DEF is half the perimeter of triangle ABC.

We are given a triangle ABC with mid-points D,E, and F of AB, BC and CA respectively.

DEF forms a triangle.

We have to find the relationship between the perimeter of triangle ABC and triangle DEF.

Let us consider sides AB,BC, and CA as 2x, 2y and 2z.

We know that triangle ABC is divided into four equal triangles of sides which are half of the sides of triangle ABC.

Hence,

DE = x,

EF = y, and

DF = z

Hence,

Perimeter of triangle ABC = 2x + 2y + 2z = 2(x + y + z)

Perimeter of triangle DEF = x + y + z

Hence, we can say that the perimeter of triangle  DEF is half the perimeter of triangle ABC.

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Option D is the right choice.

The Gallup poll randomly selected 1000 individuals from Rhode Island (population just over 1,000,000) and 1000 individuals from California (population over 35,000,000). Because both samples have the same sample sizes, it can be assumed that they will be roughly equally accurate.

Taking a poll in the US. The department of Gallup that routinely conducts public opinion polls is called The Gallup Poll. In the form of data-driven news, Gallup Poll findings, analysis, and videos are released every day.

A simple random sample is a subset of people chosen at random from a larger group, all of whom were chosen with the same probability. It is a method of choosing a sample at random. Random sampling makes sure that the findings you get from your sample should be close to what you would have gotten if you measured the complete population.

The Gallup survey randomly selected 1000 individuals from Rhode Island (population just over 1,000,000) and 1000 individuals from California (population over 35,000,000). Because both samples have the same sample sizes, it may be assumed that they will be roughly equally accurate.

Therefore, Option D is correct.

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COMPLETE QUESTION:

A random sample of 1000 people from California (population over 35,000,000) and 1000 people from Rhode Island (population just over 1,000,000) was taken by the Gallup Poll. Which is correct?

a) The sample from California will be more biased because the sampling fraction is smaller

b) The sample from Rhode Island will be substantially more accurate than that from California because a higher sampling fraction was chosen.

c) The sample from California will have a larger sampling error than from Rhode Island because less of the population is sampled.  

d) Both samples will be approximately equally accurate because the sample sizes are the same

Answer:

after 3 min the temp will be 19°

formula is (6•m)+1

we have that

1.5 meters represents 100%

so

Applying proportion

Find out how much percentage represents the difference (1.53-1.50=0.03 m)

100/1.5=x/0.03

solve for x

x=(100/1.5)*0.03

x=2%

therefore

If Maria and Cindy both arrived early for work, Cindy arriving 23(1/2) minutes earlier than maria, and the total number of minutes that they were early by, was 38 minutes, then Maria arrived ahead of stipulated time by 14.5 minutes, while Cindy arrived earlier by 38 minutes, determined by solving a linear equation.

As per the question statement, Maria and Cindy both arrived early for work, Cindy arriving 23(1/2) minutes earlier than maria, and the total number of minutes that they were early by, was 38 minutes.

We are required to calculate the individual minutes by which, each of Maria and Cindy arrived earlier by.

To solve this question, let us assume that Maria arrived early by "x" minutes, and already given that Cindy arrived 23(1/2) minutes earlier than maria.

Since the total number of minutes that they were early by, was 38 minutes, we can form a linear equation, based on our assumption and the condition provided in the question statement, which goes as,

[{x + 23(1/2)} = 38]

Or, [(x + 23.5) = 38]

Or, [(x +23.5) = 38]

Or, [x = (38 - 23.5)]

Or, [x = 14.5]

That is, Maria arrived ahead of stipulated time by 14.5 minutes.

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This paragraph's counterclaim is undermined by the following evidence: Some states have already enacted online privacy laws.

What is counterclaim evidence?

As a result of this and based on the snippet provided, it is clear that the assertion that certain states have passed online privacy regulations undermines the counterclaim of the paragraph.

This is due to Internet users' privacy is allegedly being violated, and there are no regulations in place to defend people's rights to online privacy.

This paragraph's counterclaim is undermined by the following evidence: Some states have already enacted online privacy laws.

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The result of 2 x 10 to the power of 5 ÷ 4 x 10 to the power of 2 in the standard form is 5×[tex]10^{2}[/tex]

The first number in standard form = 2×[tex]10^{5}[/tex]

The second number in standard form = 4×[tex]10^{2}[/tex]

Scientific notation of the number is a method to represent a very large number or very small number in a simple way. In scientific notation a very whole number from 1 to 10 is multiplied by the power of 10

The first number divided by the second number

2×[tex]10^{5}[/tex] ÷ 4×[tex]10^{2}[/tex] = (2/4)×[tex]10^{5-2}[/tex]

= 0.5×[tex]10^{3}[/tex]

= 5×[tex]10^{2}[/tex]

Hence, the result of 2 x 10 to the power of 5 ÷ 4 x 10 to the power of 2 in the standard form is 5×[tex]10^{2}[/tex]

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Answer:

6

Step-by-step explanation:

You have to think of the GCF (Greatest Common Factor)

List the numbers that multiply 24: 1,2,3,4,6,8,12,24

List the number that multiply 18: 1,2,3,6,9,18

You look at the greatest number that they both have in common.

Answer:

7 - x/11 ≥ 6

x ≤ 11

Step-by-step explanation:

7 - x/11 ≥ 6

(77- x)/11 ≥ 6

(77- x) ≥ 66

- x ≥ -11

11 ≥ x

x ≤ 11

Suppose that W and X are points on the number line. The X can be located as 21 or -5.

A line, according to Euclid, is a segment connecting two points that may be stretched forever in any direction.'

There is currently a lack of information to determine whether or not points W or X came first in time.

Consider two examples

The first scenario: W predates X.

=7-12

=-5

Example 2: If X comes before X, then X is at

=|7+12|

=19

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On simplifying the expression 4(3x + 2) it becomes equivalent to 12x + 8, that is, option D.

Here, we are given an expression- 4(3x + 2)

As we can see the expression has one variable, that is, x and rest all are constants.

Opening up the bracket and multiplying the constant term we get-

4*3x + 4*2

= 12x + 8

Since, only the like terms can be added together, we cannot simplify this expression further as they are not like terms, one is a constant and the other one is a variable.

Thus, we find that on simplifying the expression 4(3x + 2) it becomes equivalent to 12x + 8, that is, option D.

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Your question was incomplete. Check for full content below-

Which expression is equivalent to 4(3x + 2)?

A) 7x + 6

B) 7x + 6

C) 12x + 6

D) 12x + 8

Answer:

m=-2

Step-by-step explanation:

y=mx+b you have to use (y2-y1)/(x2-x1)

Answer:

[tex] \frac{5}{8} = \frac{22}{x - 6} \\ x≠6 \\ 5(x - 6) = 176 \\ 5x -30 = 176[/tex]

The linear equation in slope-intercept/ form to model the situation is 6x + y - 108 = 0

Given:

Georgia works at the circus selling cotton candy. The table shows the linear relationship between the number of cotton candy bags remaining Hours in her stand as a function of the hours she has been selling.

Table :

cotton           candy

3                      90

5                      78

12                     36

16                     12

Let x,y be cotton,candy.

(x1,y1) = (3,90)

(x2,y2) = (5,78)

slope  m = y2-y1/x2-x1

= 78 - 90/5 - 3

= -12/2

m= -6

Slope intercept form y=mx+c

y = -6x + c

substitue (3,90) in y = -6x + c

90 = -6(3) + c

c = 108

substitute c value in y = -6x + c

y = -6x + 108

6x + y - 108 = 0

Therefore the linear equation in slope-intercept/ form to model the situation is 6x + y - 108 = 0.

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The given points are (-1,2) and (3,-6).

We use the midpoint formula

Where,

Replacing all these values, we have

The values of data that might affect the statistical measures of spread and center is that: D. The males have a suspected significant high outlier.

A boxplot is also referred to as box and whisker plot and it can be defined as a type of chart that can be used to graphically represent the five-number summary of a data set with respect to locality, skewness, and spread.

In Mathematics, the five-number summary of any box and whisker plot include the following:

By critically observing the box and whisker plots which represent the number of hours the students worked in summer jobs, we can reasonably infer and logically deduce that male students have a significant high outlier because the maximum value (37) is very far from the third quartile (15).

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The area of the rectangle = 13.12 square units.

Perimeter of the rectangle = 21.77 units.

In response to the given question;

To determine the perimeter of the rectangle ABCD, first determine the length of each side.

Determine the lengths DA and DC using the distance formula.

(x2 - x1)2 + (y2 - y1)2 = DA

Enter the coordinates of points D and A.

DA = √(8 - 1)² + (2 - 0)²

= √49 + 4

= √53 units.

Now,  we have to find length of DC

Here , DC  = √(3 - 1)² + (3 - 0)²

= √4 + 9

= √13 units.

Here,

DA = CB = √53 units.

And,

DC = AB =  √13 units.

So Perimeter of rectangle = DA + CB + DC + AB

= 2√53 + 2√13 units

= 2(√53 + √13) units.

= 21.77 units.

To find area,

Area = (1/2) base × height

Here area,

= (1/2) CB × CD

= (1/2) × √53 × √13

= 26.24/2

∴ Area = 13.12 sq. unit.

Thus, area = 13.12squnits

perimeter  = 21.77 units .

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The skip interval should be 40 if the sampling frame has 2000 names and the desired sample size is 50.

Systematic sampling is a type of sampling which uses the probability method where researchers select members of the group or population at a regular interval.

To determine the skip interval, it is necessary to first determine the sample size. Then the skip interval can be determined by dividing the total population by the target/desired sample size. Therefore;

skip interval = population / target sample size

Substituting the given values;

skip interval = 2000 / 50

skip interval = 40

Hence, the skip interval is calculated to be 40 if the frame has 2000 names and the desired sample size is 50.

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Answer:

$2

Step-by-step explanation:

The rate of change is equal to "rise over run"

the rise is: 20

the run is: 10

20/10=2

$12500 - 30%

=

$8750

Step-by-step explanation:

10% of $12500 = $1250

10% × 3 = 30% = $1250 × 3 = $3750

30% = $3750

$12500 - $3750 = $8750

The side CD of the right angle triangle is 8.7 cm.

A right angle triangle is a triangle that has one of its angles as 90 degrees.

The side CD can be found using trigonometric ratios to find length CB and DB, then subtract the length DB from CB to get the required length CD(x).

An angle bisector bisect ang angle into two equal halves.

Therefore, AD is an angle bisector that bisects the angle CAB.

Hence,

∠CAD = 19°

∠DAB = 19°

using trigonometric ratios,

tan 19 = opposite / adjacent

tan 19 = DB / 20

DB = 20 tan 19

DB = 6.88655226579

DB = 6.887 cm

Therefore,

tan 38° = CB / 20

CB = 20 tan 38

CB = 15.6257125301

Therefore,

CD = CB - DB

CD = 15.626 - 6.887

Therefore,

CD = 8.739

CD = 8.7 cm

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Answers:

===================================================

Explanation:

x = Erin's true speed

Her true speed x is within 2 mph of 56 mph.

This means the interval for x is [tex]56-2 \le \text{x} \le 56+2[/tex] which simplifies to [tex]54 \le \text{x} \le 58[/tex]

She could be going as slow as 54 mph, or as fast as 58 mph, or something in between.

The expression |x-56| measures the distance from x to 56 on the number line. Recall absolute value is used to ensure the distance isn't negative.

We want this distance to be within 2 units, i.e. we want the distance to be 2 or smaller.

[tex]\text{distance on number line} \le 2\\\\|\text{x}-56| \le 2[/tex]

----------------

Here's what the steps look like to solve that absolute value inequality

[tex]|\text{x}-56| \le 2\\\\-2 \le \text{x}-56 \le 2\\\\-2+56 \le \text{x}-56+56 \le 2+56\\\\54 \le \text{x} \le 58\\\\[/tex]

For the second step, we use the rule that |x| < k is the same as -k < x < k where k is some positive number.

In the third step, I added 56 to all three sides to isolate x fully.

Reason:

L = length = 13

W = width = 13

The rectangle has a perimeter of 2*(L+W) = 2*(13+13) = 52 yards. This is the amount of fencing needed. Since the contractor charges $6 per yard of fencing, the total cost is 52*6 = 312 dollars