Choose the statistic that is considered a measure of spread.

Mean
Standard deviation
Mode
Median

Answer:

One possible solution is Jace spends 5 hours lifeguarding and 8 hours washing cars

Step-by-step explanation:

The parameters of the two summer jobs Jace is working are;

The amount Jace makes for Lifeguarding  = $18 per hour

The amount Jace makes for washing cars = $10 per hour

The number of hours he can work a week ≤ 13 hours

The amount he must earn in a ≥ $170

Whereby we have;

x = The number of hours Jace spends lifeguarding

y = The number of hours Jace spends washing cars

The system of inequalities are;

x × 18 + y × 10 ≥ 170

x + y ≤ 13

Making y the subject of the formula of both inequalities gives;

For the first inequality, we have;

x × 18 + y × 10 ≥ 170

10·y ≥ 170 - 18·x

y ≥ 170/10 - 18/10·x

y ≥ 17 - 1.8·x

For the second inequality, we have;

x + y ≤ 13

y ≤ 13 - x

Graphing both inequalities is drawn using Microsoft Excel

Equating both inequalities, given in relation to the y-values, the point where the two lines representing both inequalities meet is given as follows;

17 - 1.8·x = 13 - x

17 - 13 = 1.8·x - x

4 = 0.8·x

x = 4/0.8 = 5

y ≤ 13 - x gives;

y ≤ 13 - 5

y ≤ 8

Given that both relationships are either ≤ or ≥, we have the point where both inequalities meet is one possible solution

Therefore;

One possible solution is x = 5 hours, y = 8 hours

The number of hours Jace spends lifeguarding = x = 5 hours

The number of hours Jace spends washing cars = y = 8 hours.

Answer:

5

Step-by-step explanation:

3x=15

x=15/3

x=5

Answer:

Hello!

Step-by-step explanation:

How do we solve for j when there is no equation with j in it to solve for j. Hope we can help you with this when we get a equation!

Answer:

-8x-36

Step-by-step explanation:

-4(2x+9)

distribute: -4(2x+9)= -8x-36

Answer:

The tower is 48 ft tall.

Step-by-step explanation:

Refer to the figure attached.

Triangle ACD is similar to triangle BCE.

This means the proportion to some sides is the same, for example:

[tex]\displaystyle \frac{CE}{CD}=\frac{BE}{H}[/tex]

Substituting the values:

[tex]\displaystyle \frac{8}{64}=\frac{6}{H}[/tex]

Multiplying by 64H:

[tex]8H=64*6[/tex]

Dividing by 8:

[tex]H=64*6/8=48[/tex]

The tower is 48 ft tall.

Answer:

144.

The reason is because 1 ft = 12 in, (1 ft)2 = (12 in)2 = 144 in2.

Answer:

Thanks

Step-by-step explanation:

Answer:

C = 200p + 400

Step-by-step explanation:

Because C is the cost of a given day, 400 acts as a y-intercept.

400 is the initial fee paid then 200 per each phone manifactured, meaning that 200 is the slope.

Answer:

6%

Step-by-step explanation:

This is an honest guess just because you are not given the content of 2 out of the 3 bags. When starting at 100 percent of the makeup of the porridge you can then divide that by 3 to get the content of 1 bag. You will get around 33 then you find what 20% of 33 is which is closest to either 6 percent.

Answer:

Step-by-step explanation:

Step one:

given data

we are told that the cost of the guitar is $2000

and that 12% of the cost must be paid for Jesse to take the guitar home.

Hence we aim to know what 12% of $2000 is

Step two:

The expression is

=12/100*2000

=0.12*2000

=240

This means that Jesse must pay $240 before he can take the guitar home

Answer:

2.59

Step-by-step explanation:

Answer:

Please mark as brainliest!!

Step-by-step explanation:

range = maximum value -minimum value

35-12=23

Answer:

1) -6·n - (-4·n) = -10·n (The double negative should change to positive  + sign here)

-6·n - (-4·n) = -6·n + 4·n = -2·n

The correct solution is;

n = 4

2)  y = 23.2 - 11.6 = 11.6, y = 11.6 (Seraphina's mistake is that subtraction was done rather than the division as shown here)

The correct solution is;

y = 2

Step-by-step explanation:

The given parameters are

-6·n + 22 = -4·n + 14

22 -  14= 6·n - 4·n = 2·n

8 = 2·n

n = 8/2 = 4

Cullen's mistake is as follows;

-6·n + 22 = -4·n + 14

-6·n - (-4·n)   =  -22 + 14

-6·n + 4·n   =  -22 + 14 (The double negative should change to positive  + sign here)

-2·n   =  -8

n = -8/(-2) = 4

n = 4

2) 8.4·y - 6.8 = -3.2·y + 16.4

8.4·y - (-3.2·y) = -(- 6.8) + 16.4

11.6·y = 23.2 → y = 23.2 - 11.6 = 11.6, y = 11.6 (Seraphina's mistake is that subtraction was done rather than the division as shown here)

y = 23.2/11.6 = 2

y = 2

3) The last equation has parts missing

Answer:

the answer is y=3.88894

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

the two equations shown should add up to 180. so I did this equation: (10x-20)+ (6x+8) = 180 and I solved for x

Answer:

Solving equation [tex]13-715x=130x[/tex] we get [tex]x= \frac{1}{65}[/tex]

Step-by-step explanation:

We need to solve the equation [tex]13-715x=130x[/tex]

Combining like terms and solving

[tex]13-715x=130x\\Adding \ 715x \ on \ both \ sides:\\13-715x+715x=130x+715x\\13=845x\\Divide \ both \ sides \ by \ 845\\\frac{13}{845}=\frac{845x}{845}\\=>x= \frac{1}{65}[/tex]

So, solving equation [tex]13-715x=130x[/tex] we get [tex]x= \frac{1}{65}[/tex]

Answer:

660

Step-by-step explanation:

66x10

=660.

So the answer is 660

Answer:

y = [tex]\frac{1}{2}[/tex] x - 5

Step-by-step explanation:

Given f(0) = - 5 and f(4) = - 3 , then we have the coordinate points

(0, - 5) and (4, - 3)

The equation of a line in slope- intercept form is

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

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 5) and (x₂, y₂ ) = (4, - 3)

m = [tex]\frac{-3+5}{4-0}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex]

The line crosses the y- axis at (0, - 5) ⇒ c = - 5

y = f(x) = [tex]\frac{1}{2}[/tex] x - 5 ← equation of line

Answer:

d

Step-by-step explanation:

The slope is positive which makes the graph increase

Answer:

Step-by-step explanation:

(c). The slope is [tex]-\frac{1}{3}[/tex] and y-intercept is 1

(d). The slope is 2 and y-intercept is 1

-- I assume, that the answer on given task ( Choose the graph that has a slope of 1/3 and a y-intercept of 1.​ ) is (a) or (b) --

Answer:

2n

Step-by-step explanation:

Pythagoras [tex]a^{2} + b^{2} = c^{2}[/tex]

2 squared plus 2 squared = 8 but you need to find out the root of 8,

square root of 8 is a surd, so answer in that

Answer:

4n

Step-by-step explanation:

a^2+b^2=c^2

2n^2+2n^2=c^2

4n^2=c^2

sqrt 4n^2=sqrt c^2

4n=c

Answer:

2c+13

Step-by-step explanation:

i hope i helped:)

Answer:

it would take him a minute to complete 4 problems

Answer:

4 problems per minute.

Step-by-step explanation:

Divide 24 by 6 and you would get 4.

Check: 6 x 4 = 24

6, 12, 18, 24

Hope this helps!

~Jerc~

Answer: Static electricity is uncontrolled electrons passing from one body to another in sudden, momentary movements, while current electricity is when the electrons are controlled by moving along a path together.

HAVE A BLESSED DAY!!!!

Answer:

The value of the expression [tex](12/64)^{0}[/tex] is equal to 1

Step-by-step explanation:

You can get this answer two ways:

1. Simply plug in [tex](12/64)^{0}[/tex] into your calculator exactly as it appears. You will get one, so therefore, the expression is equal to 1.

2. If you know your exponent rules, you'll know that anything to the power of 0 equals 1, so no matter the value in the parentheses, the answer will be equal to 1.

Hope this helps!

Answer:

0.947

Step-by-step explanation:

We are told that the true probability of a baby being a girl is 0.479.

This means that probability of a baby being a boy is;

p = 1 - 0.479

p = 0.521

Now,using binomial probability distribution formula we can solve this problem.

P(X=x) = C(n, x) × p^(x) × (1 - p)^(n - x)

We are told that a mound the next four randomly selected births in the country, what is the probability that at least one of them is a boy.

This is;

P(X ≥ 1) = P(1) + P(2) + P(3) + P(4)

P(1) = C(4, 1) × 0.521^(1) × (1 - 0.521)^(4 - 1)

P(1) = 0.229

P(2) = C(4, 2) × 0.521^(2) × (1 - 0.521)^(4 - 2)

P(2) = 0.3737

P(3) = C(4, 3) × 0.521^(3) × (1 - 0.521)^(4 - 3)

P(3) = 0.27096

P(4) = C(4, 4) × 0.521^(4) × (1 - 0.521)^(4 - 4)

P(4) = 0.0737

Thus;

P(X ≥ 1) = 0.229 + 0.3737 + 0.27096 + 0.0737

P(X ≥ 1) = 0.94736

P(X ≥ 1) ≈ 0.947

Answer:

No real roots.

General Formulas and Concepts:

Pre-Algebra

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

-3x² + 2x = 1

Step 2: Rewrite in Standard Form

Step 3: Define

a = -3

b = 2

c = -1

Step 4: Find roots

Here we see that we cannot take the square root of a negative number. We will get no real roots and only imaginary ones.

Answers For Entire Assignment!!

Page 1 D, A, C

Page 2 C

Page 3 B, A

Page 4 C, D, F

Page 5 Identify the factor x + 3 from the given root –3.

Use synthetic division to divide the polynomial by x + 3.

Use the bottom row of the synthetic division as coefficients in the quadratic 2x2 + 3x – 2.

Factor the quotient to find the two other factors: x + 2 and 2x – 1.

Page 6 B, C, E

Page 7 B, 1.3

Page 8 The student used k = –5 instead of k = 5. And the student did not use a placeholder zero for the x2 term. Also, x – 5 is a factor because there is no remainder when the division is performed correctly.

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