Graph the system of linear equations
-1/2y= 1/2x + 5 and y = 2x + 2.
The solution to the system is (

Answer:

y = -2x - 1

Step-by-step explanation:

Step 1: Find the parallel line

y = -2x + b

Step 2: Solve for b

-3 = -2(1) + b

-3 = -2 + b

b = -1

Step 3: Write parallel equation

y = -2x - 1

Answer:

10

Step-by-step explanation:

2x^2-x-5= 2x^2-6x + 5x -15 +10= 2x(x-3) +5(x-3) + 10= (2x+5)(x-3) + 10

(2x^2-x-5)/(x-3)= 2x+5 + 10/(x-3)

So the remainder is 10​

Let’s give total students a number. Let’s say there are 800 total students

Men = x

Women = 7x. ( 7 times more)

Together there are 8x students.( 7x + x)

We have 8 x = 800

Divide both sides by 8

X = 100

100 men

700 women

Now find the fraction which is number of women / total students = 700/800 = 7/8

7/8 of the students are women.

Answer:

a, ar, ar²,ar³,ar⁴...

i thinhk is C DONT NOW

Answer:

The Amin's score in math was 46.

Step-by-step explanation:

The question is:

The average math score for Amin, azman and aziz is 73. Azman marks 35 more than Amin while aziz is twice that of Amun. What is Amin's sign?

Solution:

Let us denote that:

x = Amin's score in math

y = Azman's score in math

z = Aziz's score in math.

The average of x, y and z is, 73.

That is:

[tex]\frac{x+y+z}{3}=73\\\\\Rightarrow x+y+z = 219[/tex]

Now it is provided that:

[tex]y=x+35...(i)\\z=2x...(ii)[/tex]

Use the equations (i) and (ii) to determine the value of x as follows:

[tex]x+y+z=219\\\\x+x+35+2x=219\\\\4x=184\\\\x=46[/tex]

Thus, the Amin's score in math was 46.

Answer:

[tex]x^{36}-x^{16}[/tex] is already at its simplest form

Step-by-step explanation:

You cannot factor or GCF anything out of it, and you cannot just subtract exponents. Therefore, it is simplified already.

Answer:

y=(5/2)x-3

Step-by-step explanation:

slope of the line=(y2-y1)/(x2-x1)=(-3-2)/(0-2)=5/2

use any point to get the line:

y-(-3)=(5/2)(x-0)

y=(5/2)x-3

Answer:

Step-by-step explanation:

a) All of the arcs show point A is the center of rotation.

__

b) The angle marked at point A is 90°.

__

c) The arrows indicate the direction of rotation is counterclockwise.

Answer:

a) 0.0026

P- value is 0.0026

Step-by-step explanation:

Step(i):-

Given data

first sample size n₁= 80

mean of the first sample  x⁻₁= $6.75

Standard deviation of the first sample   (σ₁) = $1.00

second sample size (n₂) = 60

mean of the second sample( x₂⁻) = $6.25

Standard deviation of the second sample (σ₂) = $0.95

step(ii):-

Test statistic

[tex]Z = \frac{x^{-} _{1} -x^{-} _{2} }{\sqrt{\frac{(S.D)_{1} ^{2} }{n_{1} } +\frac{(S.D)_{2} ^{2} }{n_{2} } } }[/tex]  

  Null Hypothesis :H₀: There is no significant difference in wages across the two employers.

x⁻₁= x₂⁻

Alternative Hypothesis :H₁: There is significant difference in wages across the two employers.

x⁻₁≠ x₂⁻

[tex]Z = \frac{6.75 -6.25 }{\sqrt{\frac{(1^{2} }{80 } +\frac{((0.95)^{2} }{60} } }[/tex]

Z = 3.01

P- value:-

Given data is two tailed test

The test statistic Z = 3.01

First we have to find the Probability of z-statistic

P(Z>3.01) =  1- P( z <3.01)

                 = 1- (0.5 + A(3.01)

                = 0.5 - A(3.01)

             =    0.5 - 0.49865   ( from normal table)

             = 0.0013

P(Z>3.125) = 0.0013

Given two tailed test

   P- value = 2 × P( Z > 3.01)

                 = 2 × 0.0013

                = 0.0026

Final answer:-

The calculated value Z = 3.125 > 1.96 at 0.05 level of significance

null hypothesis is rejected

Conclusion:-

P- value is 0.0026

Answer:

Hi there!

The correct answers are: A, B, D, E

Step-by-step explanation:

First of all, perpendicular means when two lines intersect to form a 90° angle.

Second ⊥ means perpendicular.

When something is a bisector it means it evenly slices a line in half.

Answer:

2,095,636,800,000 possible passwords.

Step-by-step explanation:

There are:

26 lower case characters.

10 decimal digits.

Passwords with 6 characters:

The first character must be a lower case letter, so 26 possible outcomes.

Any of the other 6 - 1 = 5, there are 36 possible options. So

[tex]T_{6} = 26*36^{5} = 1572120576[/tex]

Passwords with 7 characters:

Same logic as above, just the last 6 with 36 possible options. So

[tex]T_{7} = 26*36^{6} = 56596340736[/tex]

Passwords with 8 characters:

7 with 36 possible options

[tex]T_{8} = 26*36^{7} = 2037468300000[/tex]

Total:

[tex]T = T_{6} + T_{7} + T_{8} = 1572120576 + 56596340736 + 2037468300000 = 2095636800000[/tex]

2,095,636,800,000 possible passwords.

Answer:

Correct options are F and D.

Step-by-step explanation:

First, the slope. 5-(-5)/-4-1

This can be simplified to 10/-5, or -2.

Y intercept: (0, -3).

Slope intercept form: y=-2x-3

Point slope: y-5=-2(x+4) or y+5=-2(x-1)

Answer:

[tex]y=60^\circ[/tex]

Step-by-step explanation:

[tex]m\angle y\:=\:\frac{1}{2}\:m \angle {120^\circ}\\\\=60^\circ[/tex]

Best Regards!

Answer:

When drawing a rectangle the point of origin is P = xy and the 0 be upon the positive x axis back to P this way we have a rectangle length.

The circle is inscribed in the middle of the rectangle.

Step-by-step explanation:

0,6  as this is 1/6th of circle

9,45 as this is 3/9th of a circle

36, 22.5 as this is 5/10 of a circle

-27, -16.5 as this is   7/10 of a circle

When we join up -27 to 0 with the end line of a rectangle the base, we find it is at point for -16 for y and joined to 6 at y and has formed 10/10 of a circle.

This is not correct but may help as they are in proportion.

the way you have laid this question out is strange but im assuming you want me to find the mean, range, medium and mode of the numbers provided?

median=order them and find the middle= 6

mean=add them all up and divide by the amount of numbers=(6+13+7+9+5+3+2+5+4+10+12)/11=6.9

range= the difference between the smallest and largest number=13-2=11

mode= the one that appears the most= 5

Hey there! :)

Answer:

a. 3

b. -22

c. -2

d. -2

e. 5a + 8

f. a² + 6a + 3

Step-by-step explanation:

Calculate the answers by substituting the values inside of the parenthesis for 'x':

a. f(1) = 5(1) - 2 = 3

b. f(-4) = 5(-4) - 2  = -22

c. g(-3) = (-3)² + 2(-3) - 5 = 9 - 6 - 5 = -2

d. g(1) = 1² + 2(1) - 5 = 1 + 2 -5 = -2

e. f(a+ 2) = 5(a+2) - 2 = 5a + 10 - 2 = 5a + 8

f. g(a + 2) = (a + 2)² + 2(a + 2) - 5 = a² + 4a + 4 + 2a + 4 - 5 =

a² + 6a + 3

Answer: Significantly low.

Step-by-step explanation:

Ok, we know that out of 1700 randomly selected, only 4 of them are girls.

Then the frequency is:

p = 4/1700

Now, using the subjective judgement (meaning that it is based on the opinion only, there is no real math involved)

I can conclude that the number of girls is significantly low, meaning that out of 1700 births we have 4 girls, then the other 1694 must be boys.

Answer:

  6 seconds

Step-by-step explanation:

The area of interest increases from 4 square feet to 16 square feet, an increase of 12 square feet. Since the area increases by 2 square feet each second, the time required for it to increase 12 square feet is ...

  (12 square feet)/(2 square feet/second) = 6 seconds

Answer:

4 over 28 = 1 over 7

Step-by-step explanation:

28 divided by 4 = 7

4 divided by 4 = 1

so 1 over 7

Answer:

[tex] P(X>14)= 1-P(X<14) =1- F(14)[/tex]

And replacing we got:

[tex] P(X>14)= 1- \frac{14-8}{22-8}= 0.5714[/tex]

The probability that a randomly selected barber needs at least 14 minutes to complete the haircut is 0.5714

Step-by-step explanation:

We define the random variable of interest as x " time it takes a barber to complete a haircuts" and we know that the distribution for X is given by:

[tex] X \sim Unif (a= 8, b=22)[/tex]

And for this case we want to find the following probability:

[tex] P(X>14)[/tex]

We can find this probability using the complement rule and the cumulative distribution function given by:

[tex] P(X<x) = \frac{x-a}{b-a} ,a \leq x \leq b[/tex]

Using this formula we got:

[tex] P(X>14)= 1-P(X<14) =1- F(14)[/tex]

And replacing we got:

[tex] P(X>14)= 1- \frac{14-8}{22-8}= 0.5714[/tex]

The probability that a randomly selected barber needs at least 14 minutes to complete the haircut is 0.5714

The process used to collect data will affect the validity and the bias of the study.

The way data is gathered is very important for making sure a study is accurate and doesn't have any unfair influences. Validity means how well the information collected correctly shows the things the study is trying to find out. If the way data is collected is not done correctly, it can cause incorrect or untrustworthy results, making the study less reliable

Bias means when we make mistakes or go away from the correct value or truth. If the way we collect data is biased, it can lead to unfair outcomes or favor certain groups.

Learn more about validity  from

https://brainly.com/question/26251731

#SPJ2

Answer:

P = 0.006

Step-by-step explanation:

If the first team have a probability of 0.9 to complete the task, we can said that the probability to not complete the task in time is 0.1. It is calculated as:

1 - 0.90 = 0.1

At the same way, the probability to not complete the task for the second and third team are 0.2 and 0.3 respectively and they are calculated as:

1 - 0.80 = 0.2

1 - 0.70 = 0.3

Finally, the the probability that the task will NOT be completed in time is the probability that any of the teams completed the task. So, it is equal to:

P = 0.1 * 0.2 * 0.3 = 0.006

Answer:

Step-by-step explanation:

To evaluate 4P2, we will use the permutation formula as shown;

nPr = [tex]\frac{n!}{(n-r)!}[/tex]

4P2 = [tex]\frac{4!}{(4-2!}[/tex]

[tex]= \frac{4!}{2!} \\= \frac{4*3*2!}{2!}\\ = 4*3\\= 12[/tex]

4P2 = 12

Answer:

a. Only 68% of the students will fall in the range of 10- 2 and 10 + 2 hours.

Step-by-step explanation:

He appies the empirical 68-95-99.7 rule, where 68% of the data is expected to be within ne standard deviation from the mean, to the right and to the left.

Half of this (68%/2=34%) will be between the mean and one deviation standard to the right. This is between 10 hours and 10+2=12 hours.

The right answer is:

a. Only 68% of the students will fall in the range of 10- 2 and 10 + 2 hours.

Answer:

98

Step-by-step explanation:

Z as Zach; W as Wendy; L as Lee; C as Chen

We know that average score of Z,W, and L is 91, so:

(z + w + l)/3 = 91

z + w + l = 273

Average score W, L, C = 89, so:

(w + l + c)/3 = 89

w + l + c = 267

We take both:

(z + w + l) – (w + l + c) = 273 – 267

z – c = 6

Average score Z and C = 95

(z + c)/2 = 95

z + c = 190

(z + c) – (z – c) = 184

2c = 184

c = 92

z + c = 190

z + 92 = 190

z = 98

So, Zachs score is 98

Answer:

  110°

Step-by-step explanation:

Adjacent angles in a parallelogram are supplementary:

  ∠L +∠O = 180°

  (2x +10) +(x +20) = 180

  3x = 150 . . . . . . . . . . . . . subtract 30

  x = 50

Then ...

  ∠L = (2x +10)° = (2·50 +10)° = 110°

Opposite angles in a parallelogram are congruent, so ...

  ∠N = ∠L = 110°

The measure of ∠N in parallelogram LMNO is 110°.

What is a parallelogram?

A parallelogram is a quadrilateral (has four sides and four angles) in which opposite sides are equal and parallel.

In parallelogram LMNO:

∠L + ∠O = 180° (corresponding angles add up to 180°)

Hence:

(2x + 10) + (x + 20) = 180

x = 50°

∠N = ∠O (opposite angles are equal)

∠N = 2(50) + 10 = 110°

The measure of ∠N in parallelogram LMNO is 110°.

Find out more on parallelogram at: https://brainly.com/question/970600

Answer:

The sample size for the data set = 56

Step-by-step explanation:

The sample size or number of individuals (n) is gotten from a histogram by summing up the total frequencies of occurrences.

In this example, the frequencies are: 2 4 6 8 10 12 14

Therefore, the sample size (n) is calculated as follows:

n = 2 + 4 + 6 + 8 + 10 + 12 + 14 = 56

Therefore the sample size for the data set = 56

The sample size for the data set = 56

Given that,

The calculation is as follows:

= 2 + 4 + 6 + 8 + 10 + 12 + 14

= 56

Learn more: https://brainly.com/question/15622851?referrer=searchResults

Answer:

We can factor this into (5x+12y)^2

Step-by-step explanation:

Answer:

At a plus or minus 5%

Her claim is wrong

Step-by-step explanation:

Ok..

Let's calculate the total amount of result first.

6 +14+22+8+4= 54.

Let's take the percentage of each.

For A

6/54= 0.11

11.1%

11.1%*5%= 10.5

For B

14/54

=0.25925

= 25.9%

25.9%*5%= 24.605

For C

22/54

0.4074

40.7%

40.7*5%= 42.73%

For D

8/54

= 0.148

14.8%

14.8%*5% = 14.06%

For E

4/54

= 0.074

= 7.4%

7.4%*5%=7.77%

But she suggested

10% A's, 23% B's, 45% C's, 14% D's, and 8% F's