(Chapter 12) If u = and v =, then u*v = .

Answer:

-27

Step-by-step explanation:

The 3, an x value, is an input. We can put it into the equation given to solve.

-> We can also graph it, see attached.

y = \(-3^{x}\)

y = \(-3^{3}\)

y = -27

-> 3 * 3 = 9, 9 * 3 = 27, then we take the negative into account giving us -27

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer:

  (3, -27), (-2, -1/9), (-1, -1/3), (6, -729)

Step-by-step explanation:

The number of minus signs in the problem makes it somewhat tricky. Every y-value will be negative. Negative x-values will result in a fraction for the y-value, where the denominator is the positive power of 3.

Relevant powers of 3 are ...

__

The missing y-values are ...

  -3^3 = -27

  -3^-1 = -1/3

The missing x-values are ...

  -1/9 = -3^(-2) . . . x = -2

  -729 = -3^6 . . . x = 6

__

The completed ordered pairs are ...

  (3, -27), (-2, -1/9), (-1, -1/3), (6, -729)

Solution:

Considering the scatter plot, the graph is positively sloped. The points do not coincides on the line perfectly, thus, the type of association is moderate and positive

The answer is moderate and positive

The probability that the bolt will be inserted in 19 minutes or less is 0.8413.

It should be noted that the probability will be illustrated as:

P(X < x) = P[z < (x - u/sd)]

where

x = number

u = mean

SD = standard deviation

Therefore given the numbers, this will be:

P(x < 19) = P(z < (19 - 15)/4)

= P(z < 4/4) = P(z < 1)

= 0.8413

Therefore, the probability that the bolt will be inserted in 19 minutes or less is 0.8413.

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The mean time it takes for workers at a factory to insert a delicate bolt into an engine is 15 minutes. The standard deviation of time to insert the bolt is 4.0 minutes and the distribution of time is approximately Normally distributed. For a randomly selected worker, what is the approximate probability the bolt will be inserted in 19 minutes or less?

Answer: I am here to nswer

Step-by-step explanation: so first to this then do another thing

Answer:

x is bigger than or equal to 5.

a) p(x=2) = 0.25

b) E(X) = 2.15

a) To find p(x=2), we simply look at the probability distribution table and find the probability associated with x=2. In this case, we see that the probability associated with x=2 is missing, but we know that the sum of all probabilities must equal 1. Thus, we can solve for p(x=2) by subtracting the sum of the probabilities associated with x=0, x=1, x=3, and x=4 from 1. This gives us:

p(x=2) = 1 - 0.1 - 0.4 - 0.15 - 0.1

p(x=2) = 0.25

b) To find E(X), we use the formula:

E(X) = Σ[x * p(x)]

where Σ is the summation symbol, x is the value of the random variable, and p(x) is the probability associated with that value. Applying this formula to the probability distribution given, we have:

E(X) = 0(0.1) + 1(0.4) + 2(p(x=2)) + 3(0.15) + 4(0.1)

E(X) = 0.4 + 0.3 + 0.15 + 0.4

E(X) = 2.15

Therefore, the expected value of X is 2.15.

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Answer:

An infinite sequence is a list or string of discrete objects, usually numbers, that can be paired off one-to-one with the set of positive integer s {1, 2, 3, ...}. Examples of infinite sequences are N = (0, 1, 2, 3, ...) and S = (1, 1/2, 1/4, 1/8, ..., 1/2 n , ...)

to get the equation of any straight line, we simply need two points off of it, so hmmm let's use say (-1 , -1.25) and (8 , -3.5)

\((\stackrel{x_1}{-1}~,~\stackrel{y_1}{-1.25})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{-3.5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3.5}-\stackrel{y1}{(-1.25)}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{(-1)}}}\implies \cfrac{-3.5+1.25}{8+1}\implies \cfrac{-2.25}{9}\implies -\cfrac{~~ \frac{225}{100}~~}{\frac{9}{1}} \\\\\\ -\cfrac{225}{100}\cdot \cfrac{1}{9}\implies -\cfrac{9}{4}\cdot \cfrac{1}{9}\implies -\cfrac{1}{4}\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1.25)}=\stackrel{m}{-\cfrac{1}{4}}(x-\stackrel{x_1}{(-1)}) \\\\\\ y+1.25=-\cfrac{1}{4}(x+1)\implies y+\cfrac{5}{4}=-\cfrac{1}{4}x-\cfrac{1}{4} \\\\\\ y=-\cfrac{1}{4}x-\cfrac{1}{4}-\cfrac{5}{4}\implies y=-\cfrac{1}{4}x-\cfrac{6}{4}\implies y=-\cfrac{1}{4}x-\cfrac{3}{2}\)

The effective interest on £2000 at a 3% interest rate compounded quarterly over a period of 4 years is approximately £245.15.

To calculate the effective interest, we need to use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the future value of the investment (including interest)

P = the principal amount (initial investment)

r = the annual interest rate (as a decimal)

n = the number of compounding periods per year

t = the number of years

In this case, the principal amount (P) is £2000, the annual interest rate (r) is 3% (or 0.03 as a decimal), the compounding is done quarterly (n = 4), and the investment period (t) is 4 years.

Plugging the values into the formula:

A = £2000(1 + 0.03/4)^(4*4)

= £2000(1 + 0.0075)^16

= £2000(1.0075)^16

≈ £2000(1.126825)

Calculating the future value:

A ≈ £2253.65

To find the effective interest, we subtract the principal amount from the future value:

Effective Interest = £2253.65 - £2000

≈ £253.65

Therefore, the effective interest on £2000 at a 3% interest rate compounded quarterly after 4 years is approximately £253.65.

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Answer:

2 and 14/15

Step-by-step explanation:

She will likely succeed in opening the door on her third attempt is 3/7 of the time.

The area of mathematics known as probability deals with the outcomes of random events. Probability refers to a result's chance or potential. It clarifies the likelihood that a specific occurrence will take place. We frequently say things like, "He will probably pass the test," "There is very little chance of receiving a storm tonight," and "Most likely the price of onions will increase once more." We substitute the word probability for every instance of chance, uncertainty, likely, etc. in these statements.

In essence, probability is the ability to anticipate an outcome based on the variety and quantity of potential possibilities or the analysis of historical data.

overall keys = 7

choosing 1 opens the door since p(1)=1/7

trying to throw out = 2/7

The likelihood that she will succeed in doing so on her third attempt is:

P= 1/7 + 2/7.

P= 3/7

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Answer:

udzufzgodyosogsogsogdgozoyd

Step-by-step explanation:

giigdgdooydogdkgddyoyddigdifocic sorry

\( \sqrt{78866666999} \)

Hey there!

The answer is D

We solve this by multiplying the exponents, and we get 15:

3 x 5 = 15

So, the answer is 2^15

Hope it helps and have a great day!

Answer:

it will take 18 min

Step-by-step explanation:

1/45+1/30=2/90+4/90=5/90=90 divided by 5 is 18

Step-by-step explanation:

\(\sf Books\begin{cases}\sf Mathematics\leadsto 4 \\ \sf English \leadsto 3 \\ \sf Science \leadsto 6\end{cases}\)

\(\tt {:}\longrightarrow Total\:books=3+4+6=13\)

\(\tt {:}\longrightarrow |S|=13\)

\(\tt {:}\longrightarrow E=\:\{3\:English\:books\}\)

\(\tt {:}\longrightarrow |E|=3\)

\(\sf P(E)\begin{cases}\tt {:}\longrightarrow \dfrac{|E|}{|S|} \\ \tt {:}\longrightarrow \dfrac{3}{13}\end{cases}\)

Answer:

1/286

Step-by-step explanation:

got it right on edge :)

2/3 - 2/5

= 10/15 - 6/15

= 4/15

The calculated value of the function f(-3) is 3

From the question, we have the following parameters that can be used in our computation:

f(x) = -x

In the function notation f(-3), we have

x = -3

substitute the known values in the above equation, so, we have the following representation

f(-3) = -1 * -3

So, we have

f(-3) = 3

Hence, the value of the function is 3

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Answer:

Well, you would need to divide 44 by the numbers you have so 44/4=11

Answer:

Step-by-step explanation:

Squaring both sides of an equation is irreversible, because the square power of negative number gives a positive result, but you can't have a negative base with a positive number, given that the square root of a negative number doesn't exist for real numbers.

In case of cubic powers, this action is reversible, because the cubic root of a negative number is also a negative number. For example

\(\sqrt[3]{x} =-1\)

We cube both sides

\((\sqrt[3]{x} )^{3} =(-1)^{3} \\x=-1\)

If we want to reverse the equation to the beginning, we can do it, using a cubic root on each side

\(\sqrt[3]{x}=\sqrt[3]{-1} \\\sqrt[3]{x}=-1\)

There you have it, cubing both sides of an equation is reversible.

Perimeter = a + b + c = 30

Area = 1/2 x a x b = 30

Multiples of 30: 2, 3, 5, 6, 10, 12, 15

For perimeter c = 30- (a+b)

C= sqrt( a^2 + b^2)

Using the possible combinations of the above:

5 and 12:

C = sqrt(5^2 + 12^2) = 13

5 + 12 + 13 = 30 for the perimeter

Area = 1/2 x 5 x 12 = 30

The sides are 5, 12 and 13 cm

Answer:

12 cm, 5 cm,  13 cm

Step-by-step explanation:

Sides of triangle:

Perimeter:

Area:

As per Pythagorean theorem, side c= √(a²+b²):

Considering ab = 60

Again using ab= 60 to find out sides:

Solving the quadratic equation, its positive root is:

Then we get the rest:

After finding the value of the angle CAE will be equal to 22°.

The basic polygonal shape of a triangle has three sides & three interior angles. This is one of the fundamental shapes in geometry and is particularly associated. It has three connected vertices. Triangles can be divided into a variety of categories according to their sides and angles.

As per the information provided in the question,

 The perpendicular bisector of side AB of ABC intersects side AB at point D and BC at point E in the ABC equation. Also, m∠CAB = 82° and m∠C = 68°.

Join A and E.

In Δ ABC

∠A+∠B+∠C = 180° (Angle sum property of triangle.)

82°+∠B+68° = 180°

∠B = 180°-150°

∠B =30°

In Δ ADE and Δ BDE

AD=B D(DE shown is a perpendicular bisector.)

∠ADE =∠BDE = 90°

DE is common.

Δ ADE ≅ Δ EDB (By using the property SAS)

∠DEB=∠D A E [By using the property CPCT]     (1)

In Δ DBE

∠EDB + ∠DBE+∠BED = 180°

90° +30°+∠BED = 180°

∠BED = 180°-120°

∠BED = 60°

So, ∠BAE=∠BED=60° (By using equation 1)

∠CAE=∠CAB - ∠BAE

∠CAE = 82°-60°

∠CAE = 22°.

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The ordered pair that would form a proportional relationship with the point graphed (-20, 40) is (15, -30).

To determine which ordered pair would form a proportional relationship with the point (-20, 40), we need to find a pair that has the same constant of proportionality when compared to the given point.

The constant of proportionality (k) is found by dividing the y-coordinate by the x-coordinate. For the given point, k = 40 / -20 = -2.

Now, let's check each of the provided ordered pairs to see which one has the same constant of proportionality:

1. (-40, 20): k = 20 / -40 = -0.5 (Not proportional)
2. (-10, -20): k = -20 / -10 = 2 (Not proportional)
3. (15, -30): k = -30 / 15 = -2 (Proportional)

So, the ordered pair that would form a proportional relationship with the point graphed (-20, 40) is (15, -30).

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Answer:

166m

Step-by-step explanation:

To calculate the area you multiply the length of all the pieces and add them to get. 4x5=20 then double that because there is 2 of those pieces and do the same for the rest of them. After all the multiplying you should get 40, 70, and 56 add them all up to get the answer

Answer:

angle 2

Step-by-step explanation:

Corresponding angles are angles that are on the same side of the transversal and are congruent.

To visualize this kindly view the attatched image.

Based off of the attatched image, the angle corresponding to angle 1 whould be angle 2.

We are not given enough information to find the measure of this angle but we do know ∠1 ≅ ∠2

We know the value of x and y,

x = 6 and y = -1 [Given]

Substitute the value,

Given

Find

NQ

Explanation

As we see ,

NQ = NP + PQ

NP = 1 1/4 in

PQ = 1 in

so ,

NQ =

Final Answer

Hence , the length of NQ is 2 1/4 in

Answer:

50-35 bro easy , 21

Step-by-step explanation:

\(\huge \mathbb{ \underline{EXPLANATION:}}\)

▪ \( \bold{\: x + y + z = 20}\)

\(\\\)

◆ As we have a \(\small\bold{sum \: of \: three \: integers}\) equal to 20 and less than 10, we know the integers have to be between 2 and 9 (1 and 0 don't apply because the sum wouldn't be equal to 20 between three integers.

\(\large\tt{Note:}\)

The first value would be X value, second Y value and third Z value.

\(\huge \mathbb{ \underline{ANSWER:}}\)

\( \large\boxed{ \sf 36 \: solution}\)

According to the information here is the frequency distribution table based on the given data:

Class Interval Frequency

45-54 1

55-64 4

65-74 11

75-84 16

85-94 12

95-104 3

105-114 3

To construct the frequency distribution table, we first determine the class intervals based on the given data. The class intervals used here are 45-54, 55-64, 65-74, 75-84, 85-94, 95-104, and 105-114.

Next, we count the frequency of occurrences within each class interval. For example, there is 1 value falling within the range of 45-54, 4 values falling within the range of 55-64, and so on.

By organizing the data in this manner, we can easily see the distribution of child births across different class intervals. This frequency distribution table provides a summary of the data, allowing us to analyze and interpret the information more effectively.

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