Consider the points.

(2,5) and (-4,5)

If these points are graphed on a coordinate plane, what is the distance between them?

Answer:

The new values are as follows:

Mean: 134

Median: 129

Mode: 121

Range=45

Standard Deviation=3.6

Step-by-step explanation:

When a k real number is added to all the elements of the dataset, the new measures of center (mean, median, and mode) are simply found by adding the value k to the previous values. Thus

[tex]Mean_{new}=Mean_{old}+k[/tex]

Here [tex]Mean_{old}[/tex] is 109 and k is 25 thus

[tex]Mean_{new}=Mean_{old}+k\\Mean_{new}=109+25\\Mean_{new}=134[/tex]

Similarly

[tex]Median_{new}=Median_{old}+k[/tex]

Here [tex]Median_{old}[/tex] is 104 and k is 25 thus

[tex]Median_{new}=Median_{old}+k\\Median_{new}=104+25\\Median_{new}=129[/tex]

Also

[tex]Mode_{new}=Mode_{old}+k[/tex]

Here [tex]Mode_{old}[/tex] is 96 and k is 25 thus

[tex]Mode_{new}=Mode_{old}+k\\Mode_{new}=96+25\\Mode_{new}=121[/tex]

When a k real number is added to all the elements of the dataset, the new measures of variation (range and standard deviation) remain the same thus.

[tex]Range_{new}=Range_{old}\\Range_{new}=45[/tex]

Similarly

[tex]Standard\ Deviation_{new}=Standard\ Deviation_{old}\\Standard\ Deviation_{new}=3.6[/tex]

So the new values of mean, median, mode, range, and standard deviation are 134, 129, 121, 45, and 3.6 respectively.

Answer:

(-x,y)

Step-by-step explanation:

If it's positive and you flip it accross the y-axis, the x- coordinates become negative.

Answer:

2000 meters

Step-by-step explanation:

From the above question

Total time = 15 minutes

Converting minutes to seconds

1 minute = 60 sec

15 minutes = x

Cross Multiply

x = 60 × 15 = 900 seconds

Hence, 900 seconds = Total time

Total time = Time to the marker + Time from the marker

From the question, we are given the Speed to the marker = 5 m/s

Speed from the marker = 4 m/s

Time = Distance/speed

Let the distance be represented by x

Hence:

x/4 + x/5 =900

Multiply all through equation by Lowest Common Denominator = 20

5x + 4x= 900×20

9x = 900 ×20

Divide both sides by 9

9x/9 = 900 × 20/9

x = 2000 meters

Therefore, the total distance to the marker = 2000 meters

Answer:

Question 3: B

Question 4: A, D, E

Step-by-step explanation:

Polynomials can not have a variable appear in the denominator.

4b^4-9b+2, 2x+7, and x-3 are in standard form.

Answer:

25% chance

Step-by-step explanation:

There are 3 prime numbers on a 6-sided die so that means there is a 1/2 chance you roll a prime number. In order to calculate the probability of 2 or more events you multiply their probability which would be

1/2 * 1/2 = 1/4

So the chance of rolling a prime number on both rolls is a 1/4 chance or a 25% chance

The probability that she will roll a prime number both times is 0.25.

The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.

Given:

Martha rolls a 6 sided number cube two times.

And the prime numbers in the cubes are {2, 3, 5}.

The probability that she will roll a prime number both times,

= 3/6 x 3/6

= 1/2 x 1/2

= 1/4

= 0.25

Therefore, 0.25 is the probability.

To learn more about the probability;

brainly.com/question/11234923

#SPJ2

Answer:

The correct answer is -29/3

Answer:

270cm²

Step-by-step explanation:

The formula is given as

S = bh × l (s1 + s2 + h)

l = 7cm

h = 5cm

s1 = 12 cm

s2 = 13cm

b = 12 cm

Surface Area = 12 cm × 5 cm × 7 cm(12 cm+ 13 cm+ 5cm)

= 60cm² × 7 cm(30 cm)

= 60cm² + 210 cm²

= 270 cm²

Answer: Number of hot dogs sold = 65

number of soda sold = 116.

Step-by-step explanation:

Let the number of hot dogs sold be represented by x.

Since the number of hot dogs sold was 51 less than the number of sodas sold, then the number of soda sold will be: = x + 51

Since the addition of both hot dogs and soda equals 181, we can form this into an equation which will be:

= x + (x + 51) = 181

x + x + 51 = 181

2x + 51 = 181

2x = 181 - 51

2x = 130

x = 130/2

x = 65

Number of hot dogs sold = 65

Since number of soda sold equals:

= x + 51

= 65 + 51

= 116

Therefore, number of soda sold is 116.

Answer:

- (27n^3 - 12n - 1) over 3n

Step-by-step explanation:

Answer:

-6, -5 ,-3 ,-1 ,1 ,4

Answer:

about 28

Step-by-step explanation:

its actually 27.8125 but if we're estimating im assuming that means to round

Answer:

28 pints

Step-by-step explanation:

There are 28 pints in 445 fluid ounces .

Answer:

it's arithmetic.

Step-by-step explanation:

geometric sequence is when each term moves on by dividing or multiplying.

arithmetic sequence is basically addition and etc.

Answer:

Step-by-step explanation:

This expression cannot be simplified in any way.  2a and 10b are NOT "like terms."  Likewise, the 'c' term has nothing in common with the other two terms.

Answer:

2. 70

3. 70

4. 110

5. 110

6.70

7. 70

8. 110

Step-by-step explanation:

a straight line = 180 so 1+2 has to = 180 1+3 has to = 180 2+4 has to = 180 and so on

Answer:

B. y = -2x + 8

Step-by-step explanation:

So the slope is the number that comes before the x, and if the slope is -2, that means the number before is -2, and it is.

And to know if it goes through (1, 6), put those numbers into the equation and see if they match up (x is the y-intercept)

6 = -2(1) + x

6 = -2 + x

x = 8

The one with both of these is B, which means B is the answer

Answer:

1/2

Step-by-step explanation:

There are three odd and three even numbers on the die which would make 3/6 and simplified it is 1/2.

Answer:

it would be a 50% chance or 1/2 of rolling an odd nummber

Step-by-step explanation:

Answer:

Step-by-step explanation:

The first one is actually 0 I think. The instantaneous ROC at x=1 should also be 0. The last one should be correct.

Basically, the ROC for the first one is 0 because the y value at the start and end of the interval is the same, so the change is the same. However, for the instantaneous ROC at x = 0, you look at the graph and realize that if you find the derivative at that point, it is 0.

Question:

Suppose you have a bag of colored plastic disks, and you choose one without looking. The probability the disk you choose is yellow is P(yellow)=5/25.

Write this probability as a decimal.

Use a word or phase to describe this probability

Answer:

[tex]P(yellow)=0.2[/tex]

Unlikely event

Step-by-step explanation:

Given

[tex]P(yellow)=\frac{5}{25}[/tex]

Solving (a): Express as decimal

[tex]P(yellow)=\frac{5}{25}[/tex]

As decimal, we have:

[tex]P(yellow)=0.2[/tex]

Solving (b): Description

Since the probability is closer to 0 than 1, we can say that the probability of picking a yellow is unlikely

Answer:

D. 21, 14

Step-by-step explanation:

As the question said, a parallelogram is formed when both pairs of opposite sides are congruent. That means that 21 and 3y are equal, as are y + 7 and 2y.

21 = 3y

/3    /3

7 = y

y + 7 = 2y

-2y     -2y

-y + 7 = 0

   -  7  - 7

-y = -7

* -1  * -1

y = 7

In both instances, y = 7. Now let's substitute that.

21 = 3(7)

21 = 21 is true.

7 + 7 = 2(7)

14 = 14 is true.

With that, the lengths of the opposites sides are 21 & 14, which is D.

Answer: 341.4286

Step-by-step explanation:

Answer:

x=60°,120°

Step-by-step explanation:

4sinx=3cosecx

4sinx-3cosecx=0

4sinx-3/sinx=0

4sin²x-3=0

sin²x=3/4

sinx=√(3/4)

sinx=√3/2=sin60°,sin(180-60)

Answer:

sin(180-60) is the correct answer Hope it helps you have a great day keep smiling be happy stay safe

Answer:

1) Use two points to find the slope

Points from the graph

Find the slope:

Slope is 3, y-intercept is -1

The line is:

This is non-proportional as not passing through the origin (0, 0)

2) One point is sufficient to determine the slope as the line passes through the origin

Point (5, 2)

The slope is

Line is:

This is proportional

3)  is answered here: https://brainly.com/question/23004781

Answer:

Domestic factor mobility. refers to the ease with which productive factors like labor, capital, land, natural resources, and so on can be reallocated across sectors within the domestic economy. Different degrees of mobility arise because there are different costs associated with moving factors between industries.

Answer:

9

Step-by-step explanation:

RST = 90

90 - (22 + 41) = 27.

3x = 27

27/3 = 9

x = 9

Answer:

b

Step-by-step explanation:

he will be negatives because he has very little money

Answer:

c (3,11)

Step-by-step explanation:

Answer:

I can't see the file. But I did something that sounded LIKE this. So try multiplying the parallel sides.

Step-by-step explanation:

Answer:

8(6 - x)

Step-by-step explanation:

I'm not exactly sure why the question asks for two answers.

We need to find the highest common factor that goes into both 48 and -8x.

That common factor is 8.

48 / 8 = 6

-8x / 8 = -x

Now, we factorise.

8(6 - x)

Answer:

1.255

Step-by-step explanation:

10^-1 equals 0.1

1÷8=0.125

so our greatest one is 1.255