Which phrase describes an unknown or changeable quantity?

Answer:

0.4859

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score,

μ is the population mean, and

σ is the population standard deviation.

From the question:

mean μ = 38,000

standard deviation σ = 7,000

For.

36 ( thousand miles) = 36,000

z = (x-μ)/σ

z = 36,000 - 38,000/7000

z = -0.28571

Probability value from Z-Table:

P(x = 36000) = 0.38755

For 46 thousand miles = 46,000

z = (x-μ)/σ

z = 46,000 - 38,000/7000

z =1.14286

Probability value from Z-Table:

P(x = 46000) = 0.87345

The proportion of tires that have lifetimes between 36 and 46 thousand miles is calculated as:

P(x = 46000) - P(x = 36000)

0.87345 - 0.38755

= 0.4859

Step by Step Solution:

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STEP

1

:

Equation at the end of step 1

STEP

2

:

           x3 + 3x2 - 7x - 12

Simplify   ——————————————————

                 x + 4        

Checking for a perfect cube :

2.1    x3 + 3x2 - 7x - 12  is not a perfect cube

Trying to factor by pulling out :

2.2      Factoring:  x3 + 3x2 - 7x - 12  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -7x - 12  

Group 2:  x3 + 3x2  

Pull out from each group separately :

Group 1:   (7x + 12) • (-1)

Group 2:   (x + 3) • (x2)

1 result(s) found

x  

2

−x−3

Answer: 9

Step-by-step explanation: Parallel lines have the same slope.

So a line parallel to this would also have 9 as its slope.

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

Work Shown:

SM/MK = RM/ML

33/44 = x/40

3/4 = x/40

3*40 = 4*x ... cross multiply

120 = 4x

4x = 120

x = 120/4

x = 30

RM = 30

Answer:

she bought 5 shakes

Step-by-step explanation:

shakes: $3.39

tea: $2.50

2.50 + 3.39s = 19.45

3.39s = 16.95

s = 16.95 ÷ 3.39

s = 5

Check:

2.50 + 3.39(5) = 19.45

or

2.50 + 3.39 + 3.39 + 3.39 + 3.39 + 3.39 =  19.45

Answer:The 9 in the hundredths place is 0.1x the value of the 9 in the tenths place.

Step-by-step explanation:

Every place going forward is 10x forward, so this means that every place going backwards is 0.1x.

Answer:

1/10th

Step-by-step explanation:

Answer:

The third

Step-by-step explanation:

16( times) 0.5x= 8x

16 ( times) -0.75= -12y

16(times) 2= 32

The rest are either above or bellow the expression given.

Answer:

the answer is -0.75y+2)=8x

Answer: $4,789.80

Step-by-step explanation:

If Phil is able to sell the house, the profit he makes will be;

= Commission - expenses

= 19,752 - 3,111

= $16,641

If he is unable to sell in 6 months he will lose $3,111.

His expected profit will be a weighted average of the two possibilities;

= (40% * 16,641) + ( 60% * -3,111)

= ‭6,656.4‬0 + (-‭1,866.6‬)

= $4,789.80

Answer:

1:2, 1 to 2, 1/2

Step-by-step explanation:

Answer:

3 rolls of tape

Step-by-step explanation:

600 diveded by 200 is 3

Answer:

- Integers, b ≠ 0 and d ≠ 0.

- r - s = (ad - bc)/bd.

- products and differences of integers are integers.

-  zero product property

- quotient.

Step-by-step explanation:

Rational numbers are integers that can take the form of numerator divided by a denominator, that is to say in the form of 'a/b;. So, we are given from the question or problem to prove and fill in the gap the correct information or data:

For the first part of the question:

The missing data in the gap = Integers; b ≠ 0 and d ≠ 0. That is to say the denominators can not be zero or say that the denominators are non zero. This is one of the properties or let us say one of the ways of identifying a Rational number.

For the second part:

The missing data in the gap = a/b - c/d =  (ad - bc)/bd. This is the representation in  a simplified form.

For the third part:

The missing data or information = products and differences of integers are integers.

For the fourth part:

The missing data or information: zero product property, that is to say the product of the numerators is not equal to zero, or it is non zero.

For the fifth part:

The missing data or information: quotient.  r - s is a quotient of two integers.

Answer:

x=-2  x=2  x = 1/2   x=3

Step-by-step explanation:

f(x) = 2x^4 − 5x^3 − 5x^2 + 20x − 12

Graph

We see that there is a zero at -2

Using synthetic division

-2      2   -5  -5   20  -12

             -4   18   -26  12

     ------------------------------  

         2   -9  13  -6     0

This gives us ( x+2) ( 2x^3 -9x^2 +13x -6)

We see that there is a zero at 2

Using synthetic division  ( 2x^3 -9x^2 +13x -6)

2       2   -9  13  -6

              4   -10  6

     ------------------------------  

         2   -5  3  0

This gives us ( x+2)   ( x-2) ( 2x^2 -5x+3)

We can factor  ( 2x^2 -5x+3)

( x+2)   ( x-2)  ( 2x -1) ( x-3)

Using the zero product property

( x+2)=0   ( x-2)=0  ( 2x -1)=0 ( x-3)=0

x=-2  x=2  x = 1/2   x=3

Answer:

log,3=10

Step-by-step explanation:

hii and good morning

Answer:

x = -2

Step-by-step explanation:

The line x = - 5 means it is a straight vertical line that has no slope. This means that the slope is undefined.

Now, for this line to be parallel to the line passing through point P(−2, 6), it means the line will be a vertical line too with the equation of form (x = a).

Thus, the equation of the line is x = -2

The equation of the line is given by:

[tex]x = -2[/tex]

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which:

Line x = -5 is a horizontal line, thus, it's slope is undefined.

A line parallel will also be horizontal, with undefined slope.

It passes through point P(-2,6), thus, the equation of the line is:

[tex]x = -2[/tex]

A similar problem is given at https://brainly.com/question/16302622

Answer:

45.6

Step-by-step explanation:

We can write a proportion to solve

12 roses     18 roses

------------ = -----------

30.4            x

Using cross products

12x = 30.4 * 18

12x=547.2

Divide each side by 12

12x/12 = 547.2/12

x = 45.6

Answer:

Diverges

Step-by-step explanation:

an = 7 / n^(1 + 1/n)

As n approaches infinity, an approaches 7 / n.

bn = 7 / n

Apply Limit Comparison Test.

lim(n→∞) an / bn

= lim(n→∞) [7 / n^(1 + 1/n)] / (7 / n)

= lim(n→∞) n / n^(1 + 1/n)

= lim(n→∞) 1 / n^(1/n)

= lim(n→∞) 1 / n⁰

= 1

The limit is greater than 0, and bn diverges, so an also diverges.

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

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

Answer:

First one (5x=320-70)

Step-by-step explanation:

If she paid 70$ for parts, then you have to subtract it from 320$ because that is the total. Therefore, 5x will be equal to 320-70 or 5x=320-70 :)

Answer:

1,132

Step-by-step explanation:

4,528÷4=1,132ooooo

Answer and explanation:

Please find attached

Answer:

im pretty sure it's -8

Answer:

undefined

Step-by-step explanation:

the line goes straight down

Answer:

A) SE = 0.1118

B) 95% Confidence interval is;

-2.22 < μ1 - μ2 < -1.78

Step-by-step explanation:

We are given;

Sample size; n = 60

Sample mean 1; x1 = 8

Sample mean 2; x2 = 10

Variance 1; v1 = 0.25

Variance 2; V2 = 0.5

Now,

Standard deviation is given by the formula ;

σ = √variance

Thus;

σ1 = √0.25

σ1 = 0.5

σ2 = √0.5

σ2 = 0.7071

Formula for standard error of mean is;

SE = σ/√n

Thus;

SE1 = 0.5/√60

SE1 = 0.06455

SE2 = 0.7071/√60

SE2 = 0.0913

The standard error of the difference between their mean scores would be;

SE = √[(SE1)² + (SE2)²]

SE = √(0.06455² + 0.0913²)

SE = 0.1118

Formula for 95% confidence interval is;

(x1 - x2) - ((Z_α/2) × SE) < μ1 - μ2 < (x1 - x2) + ((Z_α/2) × SE)

Where Z_α/2 is the critical value. At confidence interval of 95%, we have a critical value of 1.96 from tables.

Thus, plugging in the relevant values, we have;

(8 - 10) - (1.96 × 0.1118) < μ1 - μ2 < (8 - 10) + (1.96 × 0.1118)

-2.22 < μ1 - μ2 < -1.78

Answer:

d

Step-by-step explanation:

Answer:

B. h(x)=(x+1) (10x-1)

Step-by-step explanation:

B. h(x) = (x+1) (10x-1)

h(x)=10x^2+10x-x-1

h(x)=10x^2+9x-1

Answer:

f(10) = 23

Step-by-step explanation:

you plug in 10 for the x in the equation and then solve. So 3 x 10 = 30 then minus 7

Answer:

x=-1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

x=−1

Answer:

5000

Step-by-step explanation:

Assuming they both work 365days

roughly 52 weeks

number of time sherry is paid per year = [tex]\frac{52}{2} = 26[/tex]

because she is paid every two weeks

number of time donna is paid per year = [tex]4[/tex]

because she is paid 4 times a year (quarterly)

let s =  amount sherry is paid biweekly

let d = amount donna is paid quarterly

[tex]s = \frac{26000}{26} = 1000\\\\d = \frac{26000}{4} = 6500\\\\difference = 65000 - 1000 = 5000\\[/tex]

Answer:

5500

Step-by-step explanation:

Answer:-1.2 Degree Fahrenheit.

Step-by-step explanation:

Since,

The average daily changes,   total changes/number of days

Here,

The total changes = - 16.8° F ( - sign shows the decreasing )

And, the number of days = 14

Hence,

⇒ The average daily rate of change in the high temperature in degrees Fahrenheit is -1.2° F.

-16.8 / 14 = - 1.2 per day

Answer:

58,683

Step-by-step explanation:

subtract