Simplify 1.2(0.4-0.9)÷(-6) +3.1

Using the normal distribution, it is found that the z-scores are:

a) z = -1.5

b) z = 1.9

c) z = 0

In normal distribution with mean 'μ' and the standard deviation 'σ', the z-score of a measure X is given by:

z = x-μ/σ

It measures how many standard deviations the measure is from the mean, either above the mean(positive z-score), or below(negative z-score).

For first blank: 1.5 standard deviations below the mean, hence z = -1.5.

For second blank: 1.9 standard deviations below the mean, hence z = 1.9.

For third blank: The mean is 0 standard deviations from itself, hence z = 0.

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Answer:

The answer is down below

Step-by-step explanation:

v-u=◇velocity

\( = 9 - 5\)

◇velocity =4ms‐¹

acceleration =◇velocity/time

\(a = \frac{4}{5} \)

\(a = 0.8m {s}^{ - 2} \)

Change in velocity:

\( \sf \:final \: velocity - initial \: velocity = change \: in \: velocity\)

\( \therefore \tt \delta \: v = 9 - 5 \\ \tt = 4m {s}^{ - 1} \)

To find acceleration:

\( \rm \: a = \frac{ \triangle \: v}{\triangle \: t} \)

\( \rm \: a = \frac{ 4}{5 - 0} = \frac{4}{5} = 0.8m {s}^{ - 1} \)

It looks like you're talking about the indefinite integral

\(\displaystyle \int t^2 e^{-10t} \, dt\)

Integrate by parts:

\(\displaystyle u\,dv = uv - \int v\,du\)

Let

\(u = t^2 \implies du = 2t \, dt\)

\(dv = e^{-10t} \, dt \implies v = -\dfrac1{10} e^{-10t}\)

Then

\(\displaystyle \int t^2 e^{-10t} \, dt = -\frac1{10} t^2 e^{-10t} + \frac15 \int t e^{-10t} \, dt\)

Integrate by parts again, this time with

\(u = t \implies du = dt\)

\(dv = e^{-10t} \, dt \implies v = -\dfrac1{10} e^{-10t}\)

Then

\(\displaystyle \int t e^{-10t} \, dt = -\frac1{10} t e^{-10t} + \frac1{10} \int e^{-10t} \, dt\)

Putting everything together, we get

\(\displaystyle \int t^2 e^{-10t} \, dt = -\frac1{10} t^2 e^{-10t} + \frac15 \int t e^{-10t} \, dt\)

\(\displaystyle \int t^2 e^{-10t} \, dt = -\frac1{10} t^2 e^{-10t} + \frac15 \left(-\frac1{10} t e^{-10t} + \frac1{10} \int e^{-10t} \, dt\right)\)

\(\displaystyle \int t^2 e^{-10t} \, dt = -\frac1{10} t^2 e^{-10t} - \frac1{50} t e^{-10t} + \frac1{50} \int e^{-10t} \, dt\)

\(\displaystyle \int t^2 e^{-10t} \, dt = -\frac1{10} t^2 e^{-10t} - \frac1{50} t e^{-10t} + \frac1{50} \left(-\frac1{10} e^{-10t}\right) + C\)

\(\displaystyle \int t^2 e^{-10t} \, dt = -\frac1{10} t^2 e^{-10t} - \frac1{50} t e^{-10t} - \frac1{500} e^{-10t} + C\)

\(\displaystyle \int t^2 e^{-10t} \, dt = \boxed{-\frac{e^{-10t}}{500} \left(50t^2 + 10t + 1\right) + C}\)

On solving the provided question we can say that - from the graphs n f (x) and g( x) are 1 and 5 .

Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph

by graphs of the function f (x) and g( x).

\(lim f ( x) + lim g ( x )\\= -1 + 2 = 1\\ f ( -1 ) + lim g ( x)\\= 3 + 2\\= 5\)

from the graphs n f (x) and g( x) are 1 and 5 .

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The joint costs allocated to Product B is $240,000.

We must allocate joint costs based on the relative physical quantities produced by each product.

The total physical quantity produced by both products is:

= Quantity of A + Quantity of B

= 10,000 + 40,000

= 50,000 pounds

We will calculate the proportion of physical quantity produced by product A:

= Quantity of B / Total physical quantity

= 40,000 / 50,000

= 0.8

The amount of joint costs allocated to Product B is will be

= Total joint costs x Proportion of

= $300,000 x 0.8

= $240,000.

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i believe its 4

Step-by-step explanation:

b. four fifths plus two fourths

Step-by-step explanation: Change the fractions to their equivalents in 20ths-- like finding the common denominator.

Divide the original denominator into 20, then multiply the result by the original numerator to get the new numerator.

4/5  20/5 = 4    4×4 = 16   so 4/5 is equivalent to 16/20

2/4   20/4 = 5    5×2 = 10   so  2/4 is equivalent to 10/20  

Add:    16/20 + 10/20 = 26/20

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In the given following data gives the number of children in 50 families.

The discrete frequency table is

As number of children  is 0  the frequency is 6

As number of children  is 1  the frequency is 13

As number of children  is 2  the frequency is 14

As number of children  is 3  the frequency is 7

As number of children  is 4  the frequency is 6

As number of children  is 5  the frequency is 2

As number of children  is 6  the frequency is 2

What is frequency ?

frequency states that the number of times the certain value got repeated is called as frequency.

No. of children      Frequency

0                               6

1                                13

2                               14

3                                7

4                                6

5                                2

6                                2

Hence , it is the required discrete frequency table.

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The expression can be rewritten by given term as;  3^15

We need to simplify the expression below:

(3^2 x 3^3)^3

Remember that we can add these exponents, so we get:

(9 x 9)^3 = 81^3

Then we can rewrite this as:

531441

Takin the product between the exponents we will get:

(3^5)^3

Thus, the solution is 3^15

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The absolute value of the elevation difference between the valley and sea level is 94 feet.

The absolute value of a number is the distance of that number from zero on the number line. It represents the magnitude or size of a quantity without considering its direction. In the given scenario, we are dealing with the elevation difference between a valley and sea level.

The valley is described as being 94 feet below sea level. To find the absolute value of the elevation difference, we need to ignore the negative sign and consider the magnitude of the difference.

In this case, since the valley is below sea level, the elevation difference is negative. However, when we take the absolute value, we disregard the negative sign and focus solely on the numerical value of the difference.

By applying the absolute value to the elevation difference of -94 feet, we remove the negative sign and consider only the magnitude. Thus, the absolute value of -94 is simply 94.

Therefore, the absolute value of the elevation difference between the valley and sea level is 94 feet. It indicates that the valley is 94 feet away from sea level in terms of elevation, regardless of the direction (above or below sea level). The absolute value provides a measure of the magnitude of the difference while disregarding the direction or sign associated with it.

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Hey there! I can help you with part of your homework! :)

14. Solve.

(\(\frac{5}{13} +\frac{3}{91}\)): (\(\frac{20}{13} -\frac{3}{39}\))

First, let's concentrate on \(\frac{5}{13} +\frac{3}{91}\)

We must find the common denominator.

The common denominator is 91! :)

\(\frac{}{91} +\frac{}{91}\)

Yeah! Now for the numerators:

\(\frac{35}{91}\)\(+\)\(\frac{3}{91}\)

Now we can add those two fractions:

\(\frac{38}{91}\)

Hope it helps!

9514 1404 393

Answer:

  $794.30

Step-by-step explanation:

The account balance for principal P invested at rate r compounded daily for t years is ...

  A = P(1 +r/365)^(365t)

We have P=$9538, r=0.08, t=1, and we want the value of P-A, the interest earned.

  P-A = P(1 +0.08/365)^365 -1) = $9538(1.08327757 -1) ≈ $794.30

The interest earned in one year is $794.30.

Answer:

Step-by-step explanation:

Solve the given quadratic equation:

Solve the following quadratic equation and we get

\(14x - 0.05x²=960\\\\x² - 280x + 19200 = 0\\\\x =\dfrac{(280 ± \sqrt{280^2 - 4\times 19200}}{2}\\\\x = \dfrac{(280 ± 40)}{2}\\\\x = 120 ~or ~x = 160\)

HENCE,

They need to sell \(\pmb{\underline{120} }\)or\(\pmb{\underline{160} }\) cases to make 960 in revenue.

Answer:

Step-by-step explanation:

The growth rate of the investment is represented by the constant multiplier in the exponential term of the formula y = 20000(1.035)x. In this case, the constant multiplier is 1.035, which represents the annual growth rate of the investment account.

To calculate the growth rate as a percentage, we can subtract 1 from the constant multiplier, and then multiply the result by 100.

So, the growth rate of the investment is:

1.035 - 1 = 0.035

0.035 * 100 = 3.5%

Therefore, the growth rate of the investment is 3.5%.

\(\tan(y )=\cfrac{\stackrel{opposite}{6}}{\underset{adjacent}{4}} \implies \tan( y )= \cfrac{3}{2} \implies \tan^{-1}(~~\tan( y )~~) =\tan^{-1}\left( \cfrac{3}{2} \right) \\\\\\ y =\tan^{-1}\left( \cfrac{3}{2} \right)\implies y \approx 56.31^o \\\\[-0.35em] ~\dotfill\\\\ \tan(x )=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{6}} \implies \tan( x )= \cfrac{2}{3} \implies \tan^{-1}(~~\tan( x )~~) =\tan^{-1}\left( \cfrac{2}{3} \right) \\\\\\ x =\tan^{-1}\left( \cfrac{2}{3} \right)\implies x \approx 33.69^o\)

Make sure your calculator is in Degree mode.

The probability of randomly choosing a green marble after you have chosen red is 4.4%

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

Given

A jar has 20 marbles: 3 green, 12 blue, 5 red.

Probability;

In probability theory, an event is a set of outcomes of an experiment or a subset of the sample space.

The total number of marbles = 20

The number of green marbles= 3

The number of blue marbles = 12

The number of red marbles = 5

The probability of choosing a red marble = Number of red marbles / Total number of marbles

= 5/20

The probability of choosing a green marble is =  Number of green marbles / New total number of marbles

= 3/19

Therefore,

The probability of randomly choosing a green marble after you have chosen red is;

= 5/20 * 3/19

= 3/68

percentage = 3/68 * 100 = 4.4%

Hence, the probability of randomly choosing a green marble after you have chosen red is 4.4%

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Answer:

Step-by-step explanation:

The solution is the point x which makes f(x) = g(x).

Look at the table to identify same f and g values:

The corresponding x- coordinate is:

So the solution is

Answer:

The answer is 31

Step-by-step explanation:

Preston wants to swim 1,000 minutes. He has already done 132 minutes this weekend with a remainder of 28 days left. First do 1,000-132 that gives you 868 minutes divide that by 28 and that is 31 minutes per day.

Let me know if it's wrong or correct.

Answer:

it depends on how big she wants them but typically a bakers dozen

Step-by-step explanation:

When Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include

A. 27, 22, 17, 12, 7

D. 100, 95, 90, 85, 80

It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc. In this case, when Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include 27, 22, 17, 12, 7 and 100, 95, 90, 85, 80. In this cases, there are difference of 5.

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Complete question

Jackson wrote different patterns for the rule "subtract 5". Select all of the patterns that he could have written.

27, 22, 17, 12, 7

5, 10, 15, 20, 25

55, 50, 35, 30, 25

100, 95, 90, 85, 80

75, 65, 55, 45, 35

the domain for a rational expression will be the values of "x" that can safely be taken without setting the denominator to 0, since if that occurs the rational becomes undefined, well we can simply set the denominator to 0 and check which values are those.

\(\cfrac{x^2-x-20}{5x^2+18x-8}\implies \cfrac{(x-4)(x-5)}{(x+4)(5x-2)} \\\\\\ \stackrel{\textit{setting the denominator to 0}}{(x+4)(5x-2)=0}\implies x= \begin{cases} -4\\ \frac{2}{5} \end{cases}~\hfill \stackrel{\mathbb{DOMAIN}}{\{x|x\in \mathbb{R};x\ne -4,\frac{2}{5}\}}\)

Answer:

$80.66 and $48

Step-by-step explanation:

1.

Find the total cost of your outfit. 49+25=$74

Find 9% of 74 by doing 0.09x74, which is 6.66. This means that the sales tax is $6.66. 74+6.66=$80.66.

2.

Find 25% of 64 by doing 0.25x64=16. 64-16=$48.

A game that has an equal probability of winning or losing is said to be fair.

The foundational elements of fair play can be observed and learned both on and off the field, and include honesty, solidarity, tolerance, care, excellence, and joy. Fair competition, respect, camaraderie, team spirit, equality, and sport without doping are also examples.

A simple game of chance is deemed fair if there is an equal chance of winning for each player. If there is an equal chance of selecting each alternative, the decision is fair. Your understanding of probability can help you evaluate the fairness of games and make just decisions.

Children love playing together more when everyone is being fair. Additionally, it plays a significant role in getting along with people.

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(a)

Temp. in fairbanks is -29 if the temp. risen by 17 then temp. is:

In Noon the temp in fairbanks is -12 degree fehrebheit.

(b)

6 A.M temp in Santa =74

6 A.M. temp in toronto =-19

In 6 A.M. temp 93 fehre

The probability that the sample proportion of households spending more than $125 a week is less than 0.27 is approximately 0.35.

To find the probability that the sample proportion of households spending more than $125 a week is less than 0.27, we can use the sampling distribution of sample proportions and the Central Limit Theorem.

Given:

Population proportion (p) = 0.28

Sample size (n) = 273

First, we need to calculate the standard deviation of the sampling distribution, which is known as the standard error. The formula for the standard error is:

Standard Error = sqrt((p * (1 - p)) / n)

Substituting the given values:

Standard Error = sqrt((0.28 * (1 - 0.28)) / 273)

Standard Error ≈ 0.0258

Next, we can standardize the sample proportion using the formula:

Z = (sample proportion - population proportion) / standard error

Z = (0.27 - 0.28) / 0.0258

Z ≈ -0.3886

Now, we need to find the probability that the sample proportion is less than 0.27. This is equivalent to finding the area under the standard normal distribution curve to the left of Z = -0.3886. We can use a standard normal distribution table or a statistical software to find this probability.

The probability can be rounded to 4 decimal places:

Probability = 0.35 (approximately)

Therefore, the probability that the sample proportion of households spending more than $125 a week is less than 0.27 is approximately 0.35.

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Answer:

x=-4, z=-7, y=1

Applying the segment addition postulate, the value of y is: 4.

According to the segment addition postulate, since points R, S, and T are collinear points, therefore, the following equation is true:

RS + ST = RT

Given the following lengths:

RS = 4y + 5

ST = 3y + 6

RT = 39

Plug in the values into RS + ST = RT

(4y + 5) + (3y + 6) = 39

4y + 3y + 5 + 6 = 39

7y + 11 = 39

7y + 11 - 11 = 39 - 11

7y = 28

7y/7 = 28/7

y = 4

Thus, applying the segment addition postulate, the value of y is: 4.

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Answer:(2I3O-9247)

Step-by-step explanation:

Answer:

A

Step-by-step explanation: