For the following system, use the second equation to make a substitution for y in the first equation.
3x+y= 2
y+ 4 = 3x

Answer:

A.) 3.096 ; b.) 4 ; C). We reject the Null

D.) There is significant evidence to support the claim that conflict resolution program reduces level of aggression in STUDENTS.

Step-by-step explanation:

This is a paired test:

Given the data:

Before (x) __ After (y) __ difference (x - y)

10 ______ 8 ______ 2

3 _______ 3 ______ 0

4 _______ 1 _______3

8 _______ 5 ______ 3

8 _______ 7 ______ 1

H0 : μx = μy

H1: μx > μy

dbar = Σd / n ; n = sample size

dbar = 9 / 5 = 1.8

From calculator :

Standard deviation of d, Sd = 1.30

Test statistic = dbar ÷ (Sd / √n)

Test statistic = 1.8 ÷0.5813776

Test statistic = 3.096

Pvalue from test statistic :

df = n - 1 = 5 - 1 = 4

Pvalue, 0.05, 4 = 0.018

Since Pvalue < α ; We reject the Null

We conclude that, there is significant evidence to support the claim that conflict resolution program reduces level of aggression in students.

Answer:

60%

Step-by-step explanation:

86.4 divided by 144 is 0.60 which is 60%

Answer:

60%

Step-by-step explanation:

divide 86.4 by 144 which will give you 0.60

14.87

Step-by-step explanation:

use the Pythagorean theorem

a^2+b^2=c^2

C being the longest side of the triangle

14^2+5^2=C^2

196+25=C^2

221=C^

find the square root of 221

C=14.866

rounded to nearest tenth

C=14.87

Answer:

15

Step-by-step explanation:

5^2 +14^2=C^2

25+196=C^2

221=C^2

√221=√C^2

14.86=C

appr 15 =C

Answer:

1/4 or 12*

Step-by-step explanation:

There are 8 possibilities.  2 of them are 6.

2/8=1/4

1/4 of 48 is 12

*The theoretical probability doesn’t change no matter how many times you spin the spinner.  It will always be 1/4.  (Or 0.25, or 25%). That could be what they’re asking.  If you spun it 48 times, it would probably land on a six 12 times.  That could also be what they’re asking for.  12:48 = 1:4.

Answer:

$110

Step-by-step explanation:

The first step would be to multiply 11 and 5 to get the result of 55.

Then, you would multiply 55 by whatever the cost per square yard is, which in this case is $2.

Finally after multiplying 55 and 2 you would get the answer of $110.

Hope this helped! Have a great day! :)

Answer:

v1 t = distance Bob travels  

v2 t + 20 = distance opponent travels

v1 t  = v2 t + 20

t = 20 / (v1 - v2) = 20 / (8 - 6) = 10 sec

In 10 sec Bob runs 80 m

In 10 sec opponent runs 20 + 60 m = 80 m

Answer:

3.875

Step-by-step explanation:

Answer:

125i.

Step-by-step explanation:

5^3 is 125 i^2 is -1 so i^8 is positive and you have 1 i left.

Answer:

12

Step-by-step explanation:

Brandon's car can go in one gallon gas= 18 miles

In the United States, the gallon is a unit of measurement for liquids such as gasoline, water, and milk. If your car's tank is nearly empty, you should stop and purchase at least a few additional gallons of gas. A gallon of liquid is equal to 4 quarts or 3.785 liters.

Brandon's car used 3/4 of a gallon to travel 13 1/2 miles.

3/4 of a gallon(G)= 13 1/2 miles

3/4*G=27/2

G=18 miles

Hence, Brandon's car can go in one gallon gas= 18 miles.

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Mason needs 9 more seed packets to have a total of 20 plants in his yard.

Simplified:

20-11=9

Answer:

The Miriam is 1,2,2,2,3,5,5,10

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

arrange the numbers in assending order.

Answer:

My answer is 20ft I'm not really sure but hope this helps

Answer:

false it's product is 1.92

Answer:

33.49 mm³

Step-by-step explanation:

The formula of volume of sphere

[tex] = \frac{4}{3} \pi {r}^{3} [/tex]

The volume of the sphere

[tex] = \frac{4}{3} \times 3.14 \times {2}^{3} [/tex]

[tex] = \frac{100.48}{3} [/tex]

[tex] = 33.4933333...[/tex]

= 33.49 mm³ (rounded to the nearest hundredth)

Answer:

510

Step-by-step explanation:

Sally bank account had a beginning balance of 230

She made two deposits of 50 and 420

50+420

= 470

She made a withdrawal of 190

Therefore her balance at the end of the month can be calculated as follows

470+230

= 700

= 700-190

= 510

Hence the balance at the end of the month is 510

Answer:

153

Step-by-step explanation:

k(9)=2×9^2-3/9

k(9)= 2×81-9

k(9)=153

Answer:

First, compute the z-score:

z = (x-μ)/σ = (650-500)/100 = 150/100 = 1.5

Now look up the percentile for z = 1.5 on a z-score table (http://www.z-table.com/).  The percentile, p(z=1.5), is the percent of people who scored 650 or less.  The percent who scored more than 650 is 1-p(z=1.5).  Multiply that by the 1200 students to get the number who scored more than 650.  Round to the nearest whole number (because you can't have a fraction of a person).

For the given data the value of the z score will be 1.5

It is referred to as a measure of data dispersal since it provides information on how widely the data is dispersed.

[tex]\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}[/tex]

σ stands for the standard deviation

x  is the value from the data set

X is the data set mean

n is the number of observations

It is given that, On a standardized exam, the scores are normally distributed with a mean of 200 and a standard deviation of 50.

The Z-score of a person who scored 140 on the exam is as,

z = (x-μ)/σ

z = (650-500)/100

z  = 150/100

z  = 1.5

Thus, the value of the z score will be 1.5

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Answer:

Part A: Kimberly

Part B:

Becca = 22.5 miles, Kimberly = 25 miles

Step-by-step explanation:

Part A:

Given that Becca runs at a constant speed of 4.5 miles per hour, use the table to find the constant speed that Kimberly runs, and compare who runs faster.

Let x = time

y = distance

k = speed = y/x

Equation for each person can be written as: y = kx

Therefore:

✔️Equation for Becca if k = 4.5

y = 4.5x

✔️Find k (speed) of Kimberly using (2, 10):

Speed (k) = y/x

k = 10/2

k = 5 miles per hour

Equation for Kimberly would be:

y = 5x

Comparing their speed, Kimberly runs faster because she covers more miles per hour than Becca does.

Part B:

For Becca, substitute x = 5 into Becca's equation, y = 4.5x

Thus:

y = 4.5*5 = 22.5 miles

For Kimberly, substitute x = 5 into Kimberly's equation, y = 5x

Thus:

y = 5*5 = 25 miles

Answer:

C is a rational function

Given:

The table of values of an exponential function.

To find:

The missing values in the exponential function.

Solution:

The general exponential function is defined as:

[tex]y=a(b)^x[/tex]              ...(i)

Where, a is the initial value and b is the growth factor.

First point from the given table is (1,10). It means, the equation (i) must be true for (1,10).

[tex]10=a(b)^1[/tex]             ...(ii)

Second point from the given table is (2,20). It means, the equation (i) must be true for (2,20).

[tex]20=a(b)^2[/tex]             ...(iii)

Dividing (iii) by (ii), we get

[tex]\dfrac{20}{10}=\dfrac{a(b)^2}{ab}[/tex]

[tex]2=b[/tex]

Putting [tex]b=2[/tex] in (ii), we get

[tex]10=a(2)^1[/tex]

[tex]\dfrac{10}{2}=a[/tex]

[tex]5=a[/tex]

Putting [tex]a=5,b=2[/tex] in (i), we get

[tex]y=5(2)^x[/tex]

The required exponential function for the given table of values is [tex]y=5(2)^x[/tex]. So, the missing values are 2 and x, where 2 is in the base and x is in the power.

Answer:

I dont know

Step-by-step explanation:

im trying to get brainly points lol

Answer:

-9

Step-by-step explanation:for sure

Answer:

-9

Step-by-step explanation:

Look at a number line:

<----+------+------+------+------+------+------+------+------+------+------+------+------+------+-->

   -12     -11      -10     -9     -8     -7     -6      -5      -4      -3     -2     -1       0       1

On a number line, a number to the right is always greater than a number to its left. Just like 1 is greater than 0, -9 is greater than -11.

-9 > -11

Answer: -9

Answer:

So first plot the points then move it the way ( x-3, y-4)

remember for the x axis you slide left to right and we know that left is negative so you would go left 3 times and for y you would go down 4 times do it for each point.

Answer:

I think its B.

Step-by-step explanation:

Answer:no, The lines are skew

Step-by-step explanation:

I took the test

Answer:

105

Step-by-step explanation:

< 7 is also 105- they are alternate exterior angles