Write as a verbal expression

The percent of data within the interval from 39 to 55 which is normally distributed is 68.26%.

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the center of the range.

A unique type of normal distribution with a mean of 0 and a standard deviation of 1 is known as the standard normal distribution, or z-distribution. By transforming the values of any normal distribution into z scores, it is possible to standardize it. Z scores provide the number of standard deviations from the mean that each value falls within.

Given in the problem mean is 47 and Standard Deviation(SD) is 8

Probability of data within 39 to 55 is

P(x<55) - P(x<39)

Let Z be the standard deviation :

[tex]\phi(Z) = \frac{x - mean}{SD}[/tex].

for  X = 39

[tex]\phi(Z) = \phi(\frac{x - mean}{SD})[/tex] = [tex]\phi(\frac{39 - 47}{8}) = \phi(-1) = 1 - \phi(1) = 1-.8413 = .1587[/tex]

for X = 55

[tex]\phi(Z) = \phi(\frac{x - mean}{SD})[/tex] = [tex]\phi(\frac{55 - 47}{8}) = \phi(1) = .8413[/tex]

The percent of data within the interval from 39 to 55

(.8413 - .1587) = .6826 = 68.26%

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Answer:

The value of x is (y + 3)/2

Step-by-step explanation:

y = 2x - 3

y + 3 = 2x - 3 + 3

y + 3 = 2x

2x/2 = (y + 3)/2

x = (y + 3)/2

Thus, The value of x is (y + 3)/2

Answer:

x = (y + 3)/2

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ y = 2x - 3

Then the value of x will be,

→ y = 2x - 3

→ 2x - 3 = y

→ 2x = y + 3

→ x = (y + 3)/2

→ x = (y/2) + (3/2)

Hence, answer is x = (y + 3)/2.

The order of operations can be used to find the value of the expression in the simplest form which can be presented as follows;

(-3/5)·x - 7 - (-12 + (3/10)·x) = (-9/10)·x + 5

The correct option is the option;

Negative nine tenths times x plus 5

The order of operations is the

The expression in the question can be presented as follows;

[tex]-\dfrac{3}{5} \times x - 7- \left(-12 + \dfrac{3}{10} \times x\right)[/tex]

Therefore; [tex]-\dfrac{3}{5} \times x - 7- \left(-12 + \dfrac{3}{10} \times x\right) = -\dfrac{3}{5} \times x - 7+12 - \dfrac{3}{10} \times x\right)[/tex]

[tex]-\dfrac{3}{5} \times x - 7+12 - \dfrac{3}{10} \times x\right) = -\dfrac{3}{5} \times x - \dfrac{3}{10} \times x +5 \right)[/tex]

[tex]-\dfrac{3}{5} \times x - \dfrac{3}{10} \times x +5 \right) = \left(-\dfrac{3}{5} - \dfrac{3}{10} \right)\times x +5 \right)[/tex]

[tex]\left(-\dfrac{3}{5} - \dfrac{3}{10} \right)\times x +5 \right) = \left(-\dfrac{(2\times 3+ 3)}{10} \right)\times x +5 \right)[/tex]

[tex]\left(-\dfrac{(2\times 3+ 3)}{10} \right)\times x +5 \right) = -\dfrac{9}{10} \cdot x + 5[/tex]

The expression is therefore; [tex]-\dfrac{3}{5} \times x - 7- \left(-12 + \dfrac{3}{10} \times x\right) = -\dfrac{9}{10} \cdot x + 5[/tex]

Which can be expressed as follows; (-9/10)·x + 5

The correct option is therefore; Negative nine tenths x plus 5

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Answer: A (-9/10 x+(5)

Step-by-step explanation:

I got it correct! Brainliest?

Rounding to the nearest whole number, the limits for a 'b' grade are 75 and 81

In this question we have been given a philosophy professor assigns letter grades on a test according to the given scheme.

We need to find the numerical limits for a b grade.

b: scores below the top 12 % and above the bottom 63 % which means scores between the  63th and 88th percentile.

Given that the scores on the test are normally distributed with a mean of 72 and a standard deviation of 8.1

μ = 72, σ = 8.1

z-score at the 63th percentile: 0.332

z-score at the 88th percentile: 1.175

The lower limit of a 'b' grade is:

0.332 = X - μ/σ

0.332 = (X - 72)/8.1

2.67 = X - 72

X = 74.67

X ≈ 75

The upper limit of a 'b' grade is:

1.175 = X - μ/σ

1.175 = (X - 72)/8.1

9.52 = X - 72

X = 81.52

X ≈ 81

Therefore, you get a 'b' if you have a grade between 75 and 81

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Answer:

1.5

Step-by-step explanation:

[tex]z+11>0 \implies z>-11 \\ \\ 4z-6>0 \implies z>1.5[ex]

The stricter bound is [tex]z>1.5[/tex].

If we add any constant term in the variable then the standard deviation remains same. So it is not change.

In the given question, d is the standard deviation of x, y, and z.

We have to find the standard deviation of x+5, y+5, and z+5.

As we know that;

Data distribution in reference to the mean is measured by a standard deviation, or. Samples are said to be more narrowly collected around the mean when the standard deviation is minimal and more dispersed when the standard deviation is higher.

While a high or low standard deviation implies that data points are, respectively, above or below the mean, a standard deviation that is close to zero suggests that data points are, on the other hand, relatively close to the mean.

If we see that in each variable x, y, z a constant value 5 is added.

If we add any constant term in the variable then the standard deviation remains same. So it is not change.

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The right question is:

If d is the standard deviation of x, y, and z, what is the standard deviation of x+5, y+5, and z+5?

Answer:

There are four small lines between 0 and 1 in the number line, they denote the decimals : 0.2, 0.4, 0.6 and 0.8. Put the SUM on the 0.4 line

The ordered pair is located at the x-y coordinate at (- 10, 0).

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.

Pair in Order = (x, y)

x is the abscissa, the distance measure of a point from the primary axis x

y is the ordinate, the distance measure of a point from the secondary axis y

Given, A point is located on the x-axis which is y = 0, and 10 units to the left of the y-axis which is x = - 10.

So, The location of the ordered pair (x, y) is (- 10, 0).

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Increases in tolerable misstatement will decrease sample size and assessed level of control risk will Increase sample size in a substantive test of details.

Sample size will be decreased when there is an increase in tolerant misstatement because there is a deviation that does not impact the financial statement. An increase in the assessed level of control risk, on the other hand, will increase sample size because the risk of material misstatements has also increased.

Complete question:-

How would increases in tolerable misstatement and assessed level of control risk affect the sample size in a substantive test of details?

a. Increase in Tolerable Misstatement = Decrease sample size. Increase in Assessed Level of Control Risk = Decrease sample size

b. Increase in Tolerable Misstatement = Decrease sample size. Increase in Assessed Level of Control Risk = Increase sample size

c. Increase in Tolerable Misstatement = Increase sample size. Increase in Assessed Level of Control Risk = Decrease sample size

d. Increase in Tolerable Misstatement = Increase sample size. Increase in Assessed Level of Control Risk = Increase sample size

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As x approaches positive infinity, the function r(x) approaches negative infinity.

What is a function approaches infinity?

In general, a fractional function will have an infinite limit if the limit of the denominator is zero and the limit of the numerator is not zero.

As x approaches positive infinity, the term x^3 becomes dominant, and the value of the function p(x) approaches positive infinity as well.

In general, when the highest-order term in a polynomial function has a positive coefficient, the function will approach positive infinity as x approaches positive infinity.

Similarly, if the highest-order term has a negative coefficient, the function will approach negative infinity as x approaches positive infinity.

For example, consider the function q(x) = 3x^3 - 2x^2 + x - 5. As x approaches positive infinity, the term 3x^3 becomes dominant, and the function q(x) approaches positive infinity. On the other hand, if we consider the function r(x) = -3x^3 + 2x^2 - x + 5, the highest-order term is -3x^3, which has a negative coefficient.

Therefore, as x approaches positive infinity, the function r(x) approaches negative infinity.

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The GFC of 4800xy³, 1600y is 1600y.

The greatest positive integer that evenly divides into all of the numbers with zero residual is the greatest common factor (GCF, GCD, or HCF) of a collection of whole numbers.

To find the GFC of a given number we will write them as a product of their prime factors.

Here we have

4800xy³ , 1600y

Write the given number as a product of prime numbers

4800xy³ = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × x × y × y × y

1600y =  2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × y  

Now list out the highest common factors

[ Here we will list out the factors which are common in both lists]  

=> 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × y  

=> 1600y

Therefore,

The GFC of 4800xy^3 , 1600y is 1600y

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The linear equation that is parallel to 8x - 10y = -2 and contains (1, -2) is:

4x - 5y = 14

So the last option is the correct one.

Remember that two linear equations are parallel only if both lines have the same slope (or coefficients if it is written in standard form) and different y-intercept.

Here our line is:

8x - 10y = -2

If we divide all the equation by 2, we will get:

(8x - 10y)/2 = -2/2

4x - 5y = -1

So any equation of the form:

4x - 5y = c, where c ≠ -1

Is parallel to 8x - 10y = -2

Now we want our line to pass through (1, -2), replacing these values in our line we get:

4x - 5y = c

4*1 -  5*-2 = c

4 + 10 = c

14 = c

Then the linear equation is:

4x - 5y = 14

So the correct option is the last one.

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6. The transformation or set of transformations which map a point (x, y) onto the point (3x, 3y+4 ) is; Choice A; a dilation of scale factor 3 through the origin followed by a translation of up 4 unit.

5. The description of a figure and its image match the transformation described by (x, y) → ( x+5, y ) is; The figure and its image are similar, and the image has been translated 5 unit to the right.

It follows from transformations that a transformation using a scale factor, k about the origin is represented as; ( x, y ) → ( kx, ky ).

Also a shift in the horizontal or vertical direction by k units is represented by; ( x, y ) → ( x ± k, y ± k ) intuitively and respectively.

On this note, the given transformations are as represented in the answer section above.

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The simplified expression of g(x) = x² - 4x² + x + 6 is g(x) = -3x² + x + 6

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

g(x) = x² - 4x²+x+6

Rewrite properly

So, we have the following representation

g(x) = x² - 4x² + x + 6

Evaluate the like terms

g(x) = -3x² + x + 6

The above expression cannot be further simplified

Hence, the solution is g(x) = -3x² + x + 6

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Consequently, it would take roughly 690,64 years for the disintegrations to disappear.

Disintegration occurs when a whole entity breaks up into smaller pieces or simply vanishes. Disintegration is the breakdown, fragmentation, or spontaneous disintegration of something. Knowing that integration brings things or people together will help you to understand that disintegration refers to things breaking apart.

Here,

The formula for this is Activity = decay constant x atoms.

1238 = 2.64 x 1010 times the decay constant

decay constant is equal to 4.76 x 10-8 min-1.

Currently, the disintegrations are being slowed to 809 disintegrations per minute.

Ln(809) = Ln(2.64 x 1010) - Ln(4.76 x 10-8 x t)

t=3.63x108min = 690.64y

Consequently, it would take roughly 690,64 years for the disintegrations to disappear.

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Humans are drawn to foods that are fatty, sweet, rich and complex. Pizza has all of these components.

Notice that I expressed cost in terms of cents so

that we can avoid having to deal with decimals.

In our second equation, 4 slices of pizza and

10 sodas cost $37, that's 4p + 10s = 3700.

Now let's rewrite our two equations on top of one another.

8p + 5s = 3650

4p + 10s = 3700

To solve this system of equations, I would use addition.

I would multiply the bottom equation by -2

to create a situation where our p's will cancel.

When we do that, we get -8p - 20s = -7400.

Now rewrite the equations once again ~

8p + 5s = 3650

-8p - 20s = -7400

Now add the equations together.

So we have -15s = -3,750.

Divide both sides by -15 and s = 250.

Remember that I expressed cost in terms of cents so

since s = 250, it really means that a soda is $2.50.

Now just plug an s back in for the s in one equation.

When we do this, we find that p = 300.

So a pizza is $3.00

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The two sentences meant to persuade are the following:

"This is something no other computer can do at present.

"This is the best buy on the market".

It should be noted that persuasion is used to make someone agree to a particular point. From the information, at the latest launch by the computer manufacturer Mintel Corporation, they demonstrated the latest smart technology in their new computer.

The computer has voice recognition software that can adapt the user's experience to his or her preferences. This is something no other computer can do at present.

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Answer: 32 females

Step-by-step explanation:

28 divided by 7 = 4

so, multiply 8 by 4 as well.

Answer: 32 females are at the movie

Step-by-step explanation:

8(females):7(males)

x:28

28/7= 4

x=4x8

x=32

There are 32 females

[tex]m = \frac{200000.1/3}{1-(2/3)^{-240} }[/tex] is the monthly payment

What is Compound interest?

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

According to given question:

Principle Amount (P) = $200, 000

Rate(r) = 4% yearly

Rate(r) = 4/12 % Monthly

Rate(r) = 1/3 % Monthly

Time = 20 years = 240 months

⇒ 240 is the number of payment needed to pay

n = 240

Therefore, the monthly payment needed to pay

⇒         [tex]m = \frac{P.r}{1-(1-r)^{-n} }[/tex]

  ⇒     [tex]m = \frac{200000.1/3}{1-(1-1/3)^{-240} }[/tex]

   ⇒    [tex]m = \frac{200000.1/3}{1-(2/3)^{-240} }[/tex]

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Answer:

290

Step-by-step explanation:

210 x 2 = 420

420 - 130 = 290

Answer:

Step-by-step explanation:if angle a is 42 then b is 42 which means its 42 right, so its cos(42)=AB over 10, the last one its a educated guess.

41% of the math team's total members are brand-new recruits.

It is the ratio of two integers expressed as a decimal fraction of a whole number. It is a statistic for contrasting two sets of data, and the % sign is used to describe it as a percentage.

Percentages are often and creatively used. For instance, a lot of data is published as percentages in the media, including bank interest rates, retail discounts, and inflation rates. Percentages are essential for grasping the financial aspects of daily living.

The percentage of the entire membership that the number of new members represents is determined to be

=(14/34)×100

=41 %

0.41 x 100 = 41%

This means that 41% of the club is new members!

Thus, the number of new members is 41% of the total membership of the maths team.

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Answer: $5

Step-by-step explanation: To calculate how much she spent on the 4 boxes of candy, we need to subtract 5 from 25, because we won't be including the cost of the magazine. So, therefore 25-5 is 20. So, now to find the cost for one, we need to set up a proportional relationship like this:

[tex]\frac{20}{4}[/tex] = [tex]\frac{?}{1}[/tex]

So, with that, we need to divide 4 by 20 to find the cost of 1. So, if you know, 20 divided by 4 = 5. So, therefore the cost of each candy box is $5. We can check our answer if we use the inverse operations, so our new equation would look like this:

5(4) + 5 = 25

We can check this, because we know 5 x 4 = 20, and 20 + 5 = 25. So 25 = 25, so it is $5.00

Answer:

6

Step-by-step explanation:

Corresponding sides of similar triangles have proportional side lengths.

[tex]\frac{x}{4.5}=\frac{4}{3} \\ \\ x=\frac{4.5(4)}{3} \\ \\ x=6[/tex]

[tex]y= - \frac{1}{3} z +2[/tex] is slope intercept form of given equation.

Given liner equation :

[tex]\frac{1}{3} z + y = 2[/tex]

[tex]y = 2 - \frac{1}{3} z[/tex]

[tex]y= - \frac{1}{3} z +2[/tex]

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ASA triangle congruence theorems would be used in this proof.

What is ASA rule ?

According to the ASA rule, two triangles are said to be congruent if any two of the angles and sides that make up one triangle are equal to the corresponding two angles and sides that make up the other triangle.

When two or more triangles are congruent, their corresponding angles and sides are also congruent, according to the formula CPCTC, which stands for "corresponding parts of congruent triangles are congruent".

So, AB=CD

Thus, ASA  triangle congruence theorems would be used in this proof.

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Set of ordered pairs (x, y) could represent a linear function A={(-5,2), (2-1), (1.-4), (5-7)}, C={(-1,-1), (0,1), (1,3), (2,6)}

What is  function?

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output.

A function is defined as a relation between input values and output values. The set containing input values is called domain, and the set containing output values is called range.

The most important characteristic of functions (which define them) is that an input value can't have two difference output values. Having said that, notice that sets B and D have pairs that don't follow this rule.

Therefore, the right answers are A and C, because each input value has only one output value.

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In 5th year, Anisa and Keith have the same amount of stock value. Anisa bought $100 worth of stock and gained $25 per year. Kevin bought $400 worth of stock and lost $35 per year.

In mathematics, an equation is a relationship between two expressions that is expressed as an equality on each side of the equal to sign. An equation would be 3y = 16, for instance.

Given

1. For Anisa

For our problem, we know that she will make $25 annually, thus if x denotes the number of years in which she will make this gain 25x. She made a $100 initial deposit, which is also known as y. The following equation can be used to link the quantities if we assume that the stock value will remain constant throughout time:

y = 25x + 100

2. For Kevin

He is currently losing $35 annually. Let the x years be represented. He will lose -35 times year because we know that losses are represented by a minus sign. We now know that her initial investment y in our situation was $400. The following equation can be used to link the quantities if we assume that the stock value will remain constant throughout time:

y = -35x + 400

On year 5th

For Anisa

y = 25(5) + 100

y = 125 + 100

y = 225

For Kevin

y = -35x + 400

y = -35(5) + 400

y = -175 + 400

y = 225

In 5th year, Anisa and Keith have the same amount of stock value.

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