what is 8 to the power of 3 minus 9 times 2 divided by 3

Answer:

x = 12 radical 2 ithink these is ansewer

The price is now $75.65.

The probability that the first pencil is green and the second pencil is yellow is 0.16.

Probability determines the odds that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that the first pencil is green and the second pencil is yellow = (number of green pencils / total number of pencils) x (number of yellow pencils / total number of pencils)

5/17 x 9/17 = 0.16

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Answer:

y=-.5x-7

Step-by-step explanation:

Answer:

here u go

Step-by-step explanation:

1.  Given -- that's pretty much always the first step

2. LN=NW, SN=NK.     That's the Definition of Midpoint.

3. angle LNS=WNK.   That's the Vertical Angles Theorem - vertical angles are congruent.

4. Triangle LNS=WNK.  That's SAS, side-angle-side congruence.

Solution

We have the following equation given:

We can complte the squares and we have this:

And then if we simplify we got:

The interest for Part 1 is approximately $385.10.

The interest for Part 2 is approximately $709.31.

The formula is as follows:

Interest is calculated as follows: Principal * Rate * Time

Where

Part 1:

$132,000 is the principal.

(Decimal) Rate = 12% = 0.12

Time = 8 days/365 days.

How much interest is there in Part 1?

Interest is calculated as follows : $132,000 * 0.12 * (8/365) = $385.10

Therefore, the interest for Part 1 is approximately $385.10.

Part 2:

$106,750 as the principal

(Decimal) Rate = 12% = 0.12

Time = 20 days / 365 days.

How much interest will there be in Part 2

Interest is calculated as follows : $106,750 * 0.12 * (20/365) = $709.31

Therefore, the interest for Part 2 is approximately $709.31.

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Answer:

31

Step-by-step explanation:

Let x and (x + 1) be the page numbers Josiah can see

Hint 1: x(x + 1) = 930

⇒ x² + x = 930

⇒ x² + x - 930 = 0

Using quadratic formula,

\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)

a = 1, b = 1 and c = -930

\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)

\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)

Sice x is a page number, it cannot be negative

⇒ x = 30 and

x + 1 = 31

The two pages Josiah can see are pg.30 and pg.31

Hint 2: The page he is reading is an odd number

Out of the pages 30 and 31, 31 is an odd number

Thereofre, Josiah is reading page 31

Answer:

\(\dfrac{99}{100}\)

Step-by-step explanation:

We need to evaluate \(\dfrac{33}{33\frac 13}\). Here, 33 is numerator and \(33\dfrac{1}{3}\).

Firstly, we will solve the denominator.

\(33\dfrac{1}{3}=\dfrac{33\times 3+1}{3}\\\\=\dfrac{100}{3}\)

The given expression becomes,

\(\dfrac{33}{33\frac 13}=\dfrac{33}{\dfrac{100}{3}}\\\\=\dfrac{33\times 3}{100}\\\\=\dfrac{99}{100}\)

Hence, the required answer is 99/100.

Answer:

x- intercept = - 8 , y- intercept = 4

Step-by-step explanation:

to find the x- intercept let y = 0 in the equation and solve for x

x - 2(0) = - 8

x - 0 = - 8

x = - 8 ← y- intercept

to find the y- intercept let x = 0 in the equation and solve for y

0 - 2y = - 8

- 2y = - 8 ( divide both sides by - 2 )

y = 4 ← y- intercept

Answer: the graph that passes through 0,1

Step-by-step explanation:

y=1/5x+1

Answer:

4

Step-by-step explanation:

m = y2 - y1/x2 - x1

y = -3 - -7 = -3 + 7 = 4

x = 4 - 3 = 1

m = 4/1

answer should be 4... If i am correct hope that helps

If three bulbs are randomly selected, the probability that a) exactly 2 are 23 watts is 0.136, the probability that b) all are of the same type is 0.542 and c) there will be one bulb of each type is 0.244.

Here we have been given that out of 23 bulbs,

8 are 13 watt

9 are 18 watt

6 are 23 watt

now if three bulbs are randomly selected out of these, it can be done in

²³C₃ ways

a)

There are 6, 23 watts, and 17 bulbs that are not 23 watts.

Hence they can be chosen in

⁶C₂ X ¹⁷C₁ ways

Therefore the probability to get exactly 2 23 watt bulbs is

[⁶C₂ X ¹⁷C₁]/²³C₃

= [6 X 5 X 17 X 3 X 2]/[2 X 23 X 22 X 21]

= [3 X 5 X 17]/[23 X 11 X 7]

= 240/1771

= 0.136

b)

The probability that all three bulbs are of the same type will have three cases. Hence they can be selected in

⁸C₃ + ⁹C₃ + ⁶C₃ ways

Hence the probability will be

[⁸C₃ + ⁹C₃ + ⁶C₃]/²³C₃

= [(8 X 7 X 6) + (9 X 8 X 7) + (6 X 5 X 4)](3 X 2)/[23 X 22 X 21]

=  [(8 X 7 X 6) + (9 X 8 X 7) + (6 X 5 X 4)]/[23 X 11 X 7]

= [336 + 504 + 120]/1771

= 960/1771

= 0.542

c)

The probability to select one bulb of each type will be

[8 X 9 X 6]/²³C₃

= [8 X 9 X 6]/[23 X 11 X 7]

= 432/1771

= 0.244

d) Now if at least 6 bulbs need to be examined, hence

the probability will be 1 - probability that we need to check (1, 2, 3, 4, 5)

= 1 - (¹⁷C₀/23 + ¹⁷C₁/²³C₂ + ¹⁷C₂/²³C₃ + ¹⁷C₃/²³C₄ + ¹⁷C₄/²³C₅)

= 1 - (1/23 + 17/253 + 136/1771 + 136/1771 + 340/4807)

= 0.66

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Complete Question

A box in a supply room contains 23 compact fluorescent lightbulbs, of which 8 are rated 13-watt, 9 are rated 18-watt, and 6 are rated 23-watt. suppose that three of these bulbs are randomly selected. (round your answers to three decimal places.)

(a) What is the probability that exactly two of the selected bulbs are rated 23-watt?

(b) What is the probability that all three of the bulbs have the same rating?

(c) What is the probability that one bulb of each type is selected?

(d) If bulbs are selected one by one until a 23-watt bulb is obtained, what is the probability that it is necessary to examine at least 6 bulbs?

Answer:20

Step-by-step explanation:this is wrong

Answer:

40

Step-by-step explanation:

subtract median of dogs and median of cats

This is often how many math teachers and textbooks approach problems like this. The overlapped region is the region in which satisfies every inequality in the system. Be sure to note the boundary of each region whether you're dealing with a dashed line or a solid line. Dashed lines mean points on the boundary do not count as solution points, whereas solid boundaries allow those points as part of the solution set.

Side note: This is assuming you're dealing with 2 variable inequalities. If you only have one variable, you don't need to graph and instead could use algebra. Graphing doesn't hurt though.

The series appears to be     166, 199, 232, 265, 298, 331

With examples, define sequence?

A list of numbers in a certain order is known as a sequence. A term is the name given to each number in a sequence.

                                      In a series, each term has a place (first, second, third and so on). Take the sequence 5, 15, 25, 35, as an example. Each number is referred to as a word in the sequence.

The last number of the common difference must end in 3

And this must be a 2 digit number

So....the first number must end in 6

The the 4th number must be 265

So..... the 5th number  must end in 8

And the last digit  of the last term must end in  1  [ and begin with 3 ]

Putting all this together  we have that

265  + 2d  =  331

2d  = 66   ⇒  d = 33

So  the first term must be  265 - 3 (66)  =  166

the series appears to be     166, 199, 232, 265, 298, 331

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Answer:

12.56km

Step-by-step explanation:

circumference formula is C= 2(π)(r)

r= 2 so

C=2(π)(2)

C= 12.56

The 68-95-99.7 Rule Example

Figure 1 illustrates how to apply the 68-95-99.7 Rule to the distribution of IQ scores. In this example, the population mean is 100 and the standard deviation is 15. Based on the 68-95-99.7 Rule, approximately 68% of the individuals in the population have an IQ between 85 and 115.

f(x) = 4.1/(42.4x-10(x-2)), x-intercept = -4.878, y-intercept = (0,-2.05), asymptotes: vertical at x=2, horizontal at y=0, and slant at y=4.1/8x.

Given: f(x) = 4.1/(42.4x-10(x-2))

To find the x-intercept, we set f(x) to zero and solve for x:

0 = 4.1/(42.4x-10(x-2))

0 = 4.1/(32.4x+20)

0 = 4.1/4.08(x+4.878)

So, the x-intercept is x = -4.878.

To find the y-intercept, we set x to zero and solve for f(x):

f(0) = 4.1/(42.4(0)-10(0-2))

f(0) = -2.05

So, the y-intercept is (0,-2.05).

To write f(x) in the form f(x) = -1/(ax + b) + q, we can simplify the expression as follows:

f(x) = 4.1/(42.4x-10(x-2))

f(x) = 4.1/(32.4x+20)

f(x) = 4.1/4.08(8x+5)

So, a = 8, b = 5, and q = 4.1/4.08.

To draw the graph of f, we plot the x- and y-intercepts and the vertical asymptote x = 2.

We can find the horizontal asymptote by noting that as x becomes very large or very small, the term 10(x-2) dominates the expression, so f(x) approaches 4.1/-10x. Thus, the horizontal asymptote is y = 0.

To find the equations of the slant asymptotes, we divide the numerator by the denominator using long division:

4.1

8x + 5 | 4.1

- 4.1

0

So, the slant asymptote is y = 4.1/8x.

Therefore, the intercepts of f are x = -4.878 and (0,-2.05), and the equation of f(x) in the form f(x) = -1/(ax + b) + q is f(x) = -1/(8x + 5) + 1.0039.

The graph of f has intercepts with the x-axis at x = -4.878 and the y-axis at (0,-2.05), a vertical asymptote at x = 2, a horizontal asymptote at y = 0, and a slant asymptote at y = 4.1/8x.

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Answer:

\({ \tt{f(x) = - 2x + 5}} \\ { \boxed{ \bf{f( - 3) = - 2( - 3) + 5 = 11}}} \\ \\ { \tt{g(x) = {x}^{2} - 1}} \\ { \boxed{ \bf{g(2) = {2}^{2} - 1 = 3}}} \\ f( - 3) + g(2) = 11 + 3 \\ = 14\)

Answer:

There is no table attached, if you attach is I will gladly help :)

Step-by-step explanation:

Answer:

STo solve for m in the equation -319.45 = m, we can isolate the variable m by adding 319.45 to both sides of the equation:

-319.45 + 319.45 = m + 319.45

This simplifies to:

0 = m + 319.45

Finally, we can subtract 319.45 from both sides to solve for m:

0 - 319.45 = m + 319.45 - 319.45

-319.45 = m

Therefore, the value of m is -319.45.tep-by-step explanation:

Answer:

\(E \approx \exp(0.31)\)

Step-by-step explanation:

From the question we are told that

Occurrence of volcanoes\(x=37 times\)

The number year

\(N= 1832-1950\\N=118 years\)

Generally the number  of volcanoes occurring is mathematically modeled as

\(X \approx Poisson(0.31)\)

Generally the waiting time of the earthquakes will also be modeled with exponential distribution with the same parameters

\(E \approx \exp(0.31)\)

Answer:

W=13.2

Step-by-step explanation:

W-9.96=3.24

Add both sides by 9.96

W=13.2

By answering the above question, we may state that Romania $766.51 $646.96.80 leu 0.940 and by equation United States $4,141.00 $1,242.20 dollars 0.000 $4,141

A mathematical equation is a process that links two statements and indicates equality using the equals sign (=). A mathematics statement that proves the equality of two formalisms is known as an equation in algebra. For instance, the equal sign separates the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula may be used to understand the link between the two statements that are inscribed on opposite sides of a letter. Frequently, the trademark and the particular software are identical. like in 2x - 4 = 2, for example.

z = (x - μ) / σ

where x is the $1,500 wage, is the average income across all countries, and is the standard deviation across all countries.

Country typical monthly income (U.S. dollars) Normative deviation (U.S. dollars) original money Z score for a mean income of $1,500 in dollars

Republic of the Czech 1,059 korunas, or $158.80, $1,096.89 -0.913

Latvia $790 Lats $118.60 $1,515.77 -0.877

$2,245 $673.60 in Korean Won $1,956.24 -0.498

Romania $766.51 $646.96.80 leu 0.940

United States $4,141.00 $1,242.20 dollars 0.000 $4,141

As $1,500 per month for Romania corresponds to the highest z score of 0.94, suggesting that the income is rather high compared to Romania's mean wage, the computer programmer from Romania will probably be the most happy with the offer.

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Answer:

En este cso es de una división decimal

57,0 ÷ 3,7

15.40

Rpta: 15,40 o 15,4

Answer:

70

Step-by-step explanation:

700 / 10 = 70

Answer:

70

Step-by-step explanation:

700 ÷ 10 = 70

The monthly PMI Payment for Christina's loan is $37.50.The correct answer is option B.

To determine Christina's monthly PMI (Private Mortgage Insurance) payment, we need to find the corresponding interest rate for her loan-to-value (LTV) ratio. The LTV ratio is calculated by dividing the loan amount by the property value.

The loan amount can be calculated by subtracting the down payment from the property value:

Loan amount = Property value - Down payment

           = $170,000 - $20,000

           = $150,000

Now we can calculate the LTV ratio:

LTV ratio = Loan amount / Property value * 100

         = $150,000 / $170,000 * 100

         = 88.24%

Since Christina is obtaining a 30-year mortgage, we need to look at the interest rates for LTV ratios between 85.01% and 90%. According to the table, the interest rate for this range is 0.30%.

To calculate the PMI payment, we multiply the loan amount by the PMI rate and divide it by 12 months:

PMI payment = (Loan amount * PMI rate) / 12

           = ($150,000 * 0.30%) / 12

           = $450 / 12

           = $37.50

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The Probable question may be:
Christina is buying a $170,000 home with a 30-year mortgage. She makes a $20,000 down payment.

Use the table to find her monthly PMI payment

Base to loan% = 95.01% to 97%,90.01% to 95%,85.01% to 90%,80.01% to 85%.

30-year fixed-rate loan = 0.55%,0.41%,0.30%,0.19%

15-year fixed-rate loan = 0.37%,0.28%,0.19%,0.17%.

A. $51.25

B. $37.50

C. $23.75

D. $42.50