For males in a certain town, the systolic blood pressure is normally distributed with a
mean of 110 and a standard deviation of 5. Using the empirical rule, determine the
interval of systolic blood pressures that represent the middle 99.7% of males.

Answers

Answer 1
The empirical rule states that for a normal distribution with mean μ and standard deviation σ, about 68% of the data lies within one standard deviation of the mean (i.e., within the interval [μ - σ, μ + σ]), about 95% of the data lies within two standard deviations of the mean (i.e., within the interval [μ - 2σ, μ + 2σ]), and about 99.7% of the data lies within three standard deviations of the mean (i.e., within the interval [μ - 3σ, μ + 3σ]).

In this case, the mean of the distribution is 110 and the standard deviation is 5, so the interval of systolic blood pressures that represent the middle 99.7% of males is:

[110 - 3(5), 110 + 3(5)]
= [95, 125]

Therefore, the interval of systolic blood pressures that represent the middle 99.7% of males is [95, 125].

Related Questions

Given



m∥n, find the value of x.
m
n
t
113°

Answers

The value of X is 67°.

What makes lines parallel?If two lines never cross and always lie at the same distance apart, they are said to be parallel. Both lines need to be parallel (in the same plane). The symbol for parallel lines is represented by two tiny parallel lines when written in geometric shorthand, as this ║. For instance, we write JI║NX to indicate that lines JI and NX are parallel. A transversal line is one that runs parallel to another line. The transversal forms eight angles when cutting across parallel lines. Eight parallel lined angles can be obtained by cutting a transversal across any existing pair of parallel lines by drawing the transversal with a straightedge.These eight angles in parallel lines are:Corresponding anglesAlternate interior angleAlternate exterior anglesSupplementary angles

Hence, The value of X is 67°.

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The complete question is:

A room has the floor dimensions of 50 meters by 60 meters. The height of the basement is 10 meters. What is the total area of all four walls?

Answers

Hello,

I hope you and your family are doing well!

To find the total area of all four walls of the room, you need to find the area of each wall separately and then add them all together. The area of a wall is the product of its height and width.

The width of each wall is 50 meters, and the height of each wall is 10 meters, so the area of each wall is 50 * 10 = 500 square meters. There are four walls in the room, so the total area of all four walls is 500 * 4 = 2000 square meters.

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Answer: 2200

Step-by-step explanation: I looked it up

Arrange 0. 4, 0. 52 , 0. 81 and 0. 43 in acending order. Now pick the firt number and add 2 to it,
after adding 2 to it ubtract thi number from 5 and finally multiply the reult with 100

Answers

The ascending order of the given numbers will be 0.4, 0.43, 0.52 and 0.81 and the final number after performing all the indicated operations is 260.

According to the question,

We have the following information:

0.4, 0.52, 0.81 and 0.43

Now, we know that in ascending order we order from the smallest to the largest.

Ascending order of the given numbers:

0.4, 0.43, 0.52 and 0.81

Now, the first number is 0.4.

Adding 2 to this number:

0.4+2

2.4

Subtracting the number from 5:

5-2.4

2.6

Now, multiplying it by 100:

2.6*100

260

Hence, the ascending order of the given numbers will be 0.4, 0.43, 0.52 and 0.81 and the final number after performing all the indicated operations is 260.

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What Is 4/9 - 4/10 i need A 100% Correct answer

Answers

Answer:

2/45

Step-by-step explanation:

Given problem,

→ (4/9) - (4/10)

Let's solve the problem,

→ (4/9) - (4/10)

→ (40/90) - (36/90)

→ (40 - 36)/90

→ 4/90

→ 2/45

Hence, answer is 2/45.

Write this function in standard form:
f(x) = (2x + 3)(x^2 - 5x + 1)

Answers

Answer:

Hi!

The answer would be:

f(x)= 2x^3 - 7x^2 - 13x + 3

I hope this helped you! :)

PLEASE HELP ME. I NEED HELPPPP I WILL GIVE BRAINIEST

Answers

The area of the figure is 50.24 units squared.

How to find the area of a figure?

The figure above is a quarter of a circle. A circle divided into 4 equal parts is a quarter of a circle. Therefore, the area of the figure can be represented as follows:

Since, the figure is a quarter of a circle, the product of the area of a circle and 1 / 4 is the area of the figure.

Hence,

area of the figure = πr² / 4

where

r = radius

Therefore,

r = 8

area of the figure =  3.14 × 8² ÷ 4

area of the figure =  3.14 × 64 × 1 / 4

area of the figure =  200.96 / 4

area of the figure = 50.24 units squared

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Some points of a function are plotted as shown. Select all the points that could also be a part of this function. Choose all that apply.

Answers

Point (6,2) is part of the function.

What are functions?

In mathematics, a function is a procedure that uniquely connects the value of one variable to the value of another variable (or variables).

Here, we have the plotted points as:

(0,3), (2,7), (3,1), (5,4), (7,6)

Assuming from the above, we get a sinusoid graph as below.

Now if we try to plot the provided points, we see that only (6,2) satisfies the curve.

Hence, (6,2) is a point that is part of the function.

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if you were to guess how probability of tunneling through a finite barrier scales with barrier size (once it's bigger than a wavelength), which would you pick?

Answers

As an object's mass and the energy difference between it and the barrier's energy increase, the probability that it will tunnel through the barrier diminishes.

And although while the functionality shows that the wave function never fully hits zero, this explains why tunneling is common at the nanoscale but insignificant at the larger scale. The probability of tunneling declines exponentially with the square root of the mass of the particle (smaller particles may more easily tunnel through barriers than larger ones) and the barrier thickness.

Three requirements must be satisfied for a quantum particle to appreciably tunnel through a barrier ,

The barrier's height must be limited and its thickness should be minimal.The barrier's potential energy (E/V) is greater than the particle's kinetic energy.The fact that the wavefunction can pass through the barrier indicates that the particle possesses wave characteristics. This shows that quantum tunneling does not apply to macroscopic items and only applies to microscopic objects like protons or electrons.

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Find equivalent equations Of 3+2x-9-4 X +11+ 5x- X

Answers

The required expression is 2x + 5 that equivalent to the expression, 3 + 2x − 9 − 4x + 11 + 5x − x.

What are Equivalent Expressions?

The expressions that have identical values are called to be equivalent expressions.

The expression is given in the question following as:

⇒ 3 + 2x − 9 − 4x + 11 + 5x − x

We have to determine the equivalent expression to the given expression

As per the question, we have

⇒ 3 + 2x − 9 − 4x + 11 + 5x − x

Combine the like terms together in the above expression,

⇒ 2x - 4x + 5x - x + 3 - 9 + 11

⇒ 2x  + 5

Thus, the required expression is 2x + 5 that equivalent to the expression, 3 + 2x − 9 − 4x + 11 + 5x − x.

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On cold days, nick likes to make hot chocolate. He uses 6 table spoons of coco and 2 table spoons of sugar
Guys please help me on this question its like very hard and please show work

Answers

Answer:

For every 3 tablespoons of cocoa, Nate uses 1 tablespoon of sugar.

Step-by-step explanation:

Since the sugar is halved, the cocoa should be halved as well. 6/2 is 3.

PLEASE HELP!!!!!!!!!!! BEFORE 11:59 PM EST

Answers

Cos(64) * 380= 166.58

Cos(32) * 380= 322.26

322.26-166.58= x

X= 155.68

A right triangle has a hypotenuse of 12√2 and one leg equal to 9√2. What is
the length of the other leg?

Answers

Answer: 3√14 units

Step-by-step explanation:

Let the length of the other leg equal to x

Hence, according to Pythagoras' theorem

[tex]x^2+(9\sqrt{2} )^2=(12\sqrt{2})^2 \\\\x^2+9^2(\sqrt{2)^2}=12^2(\sqrt{2})^2\\\\x^2+81(2)=144(2)\\\\x^2+162=288\\\\x^2+162-162=288-162\\\\x^2=126[/tex]

Extract the square root of both parts of the equation:

[tex]x=\sqrt{126} \\\\x=\sqrt{9(14)} \\\\x=3\sqrt{14}\ units[/tex]

Uing the model of upply and demand, conider the market for navel orange. Illutrate the
impact on the market for navel orange if (i) the price of Cutie (a type of mandarin orange) fall
while (ii) change to the Clean Water Act mean that citru farmer have to adopt new expenive
farming practice to avoid nutrient runoff harming the environment. Explain the change to the
navel orange market, drawing concluion about expected change to the market price and
quantity for navel orange

Answers

Cuties and naval oranges are interchangeable, therefore when Cuties' price drops, more mandarin oranges will be consumed by consumers, increasing the demand for naval oranges .

As the Mandarin oranges are an alternative for navel oranges, a decrease in the price of Mandarin oranges will result in more people purchasing Mandarin oranges.

The Federal Water Pollution Control Act Amendments of 1972 were passed in response to growing public knowledge of and concern over water pollution (33 U.S.C. 1251 et seq.).

This law was modified in 1977 (P.L. 95-217), and as a result, it became known as the Clean Water Act (CWA).

Given constant levels of the other determinants—tastes, income, prices of related goods, expectations, and the number of buyers—the demand curve is defined as the relationship between the price of the good and the amount or quantity the consumer is willing and able to purchase in a given time period.

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Okay so if I have a 67 as my overall grade and I get the exact thing for my final exam am I literally getting a 0 as my grade please I’m freaking out???

Answers

Answer:

No.

Step-by-step explanation:

Don't worry. Yes, your grade will decrease but won't go to 0.

Answer: It all depends on how weighted your final exam is on your overall grade compared to other assignments.

Find the total cost to the nearest cent.

$ 22 haircut

tip: 20 %

Answers

To find the total cost of a $22 haircut with a 20% tip, we can first calculate the amount of the tip by multiplying the cost of the haircut by the tip percentage:

Tip = 22 * 20% = $4.40

Then, we can add the cost of the tip to the cost of the haircut to find the total cost:

Total cost = 22 + 4.40 = $26.40

Therefore, the total cost to the nearest cent is $26.40.

I need a step-by-step process on how to do:

-3x+y=9
y=x-7

I would think this is a substitution problem.

Answers

Answer:

x = -8

y = -15

Step-by-step explanation:

-3x + y = 9

y = x - 7

-3x + x - 7 = 9

-2x - 7 = 9

-2x = 16

2x = -16

x = -8

y = -8 - 7

y = -15

Solve for x.
2(x - 6) - 3x ≥ - 3
Simplify your answer

Answers

Here I don’t know if right:

2x - 12 - 3x >= -3

2x - 3x >= -3 + 12

- x >= 9

x/-1 >= 9/-1

X >= 9
To solve for x, we need to get x by itself on one side of the inequality.

First, we'll start by combining like terms on the left side of the inequality:

2(x - 6) - 3x ≥ -3
2x - 12 - 3x ≥ -3

Combining the two x terms gives us:

-x - 12 ≥ -3

Next, we'll add 12 to both sides to isolate the x term:

-x - 12 + 12 ≥ -3 + 12
-x ≥ 9

Finally, we'll divide both sides by -1 to solve for x:

(-x)/(-1) ≥ 9/(-1)
x ≤ -9

So the solution to the inequality is x ≤ -9.

Lisa paid $46.58 for 16.7 gallons of gasoline. What was the cost per gallon, rounded to the nearest hundredth?

Answers

Answer: 2.73 is the answer

Step-by-step explanation:

Answer: $2.79 per gallon

Step by Step:

$46.58
———— = 2.879… —> $2.79
16.7

$2.79 = 1 gallon

what does the univariate t test tell you that the bivariate correlation test alone does not? what does the bivariate test tell you that the univariate test does not tell you?

Answers

In univariate data, only one variable is assessed for each person. Two variables are measured for each person in bivariate data.

The definition of univariable data is "one variable," and it is generally understood to be one sort of data. It is one of the straightforward methods for data analysis. The data in univariable data only include one variable.

The cat's weight, for instance, is 10, 15, 25, 27, 30, 35, and 40.

The variable is hence "Cat weight."

The definition of bivariate data is "Two Variable," and it essentially consists of two different forms of data. It is a straightforward type of statistical analysis.

Only one variable is analysed at a time in univariate statistics. Two variables are compared in bivariate statistics. Multiple variables are compared using multivariate statistics.

In a bivariate analysis, the correlations between the two variables are measured. When there are more than two variables in the data set, a more complicated statistical analysis technique called multivariate analysis is utilized.

Therefore,

In univariate data, only one variable is assessed for each person. Two variables are measured for each person in bivariate data.

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Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.

Answers

The value of x in the linear inequality -3(2x - 5) < 5(2 - x)  is x > 5 which shows an open circle is at 5 and a bold line starts at 5 and is pointing to the right.

Linear Inequality

A system of linear inequalities in two variables includes at least two linear inequalities in the identical variables. When we solve linear inequality then we get an ordered pair. So basically, in a system, the solution to all inequalities and the graph of the linear inequality is the graph displaying all solutions of the system.

In the given inequality, we have -3(2x - 5) < 5(2 - x)

We can expand the graph and simplify

-3(2x - 5) < 5(2 - x)

-6x + 15 < 10 - 5x

15 - 10 < -5x  + 6x

5 < x

x > 5

This indicates that an open circle is at 5 and a bold line starts at 5 and is pointing to the right.

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does 2+x have an y-intercept of 2 and slope of 1​

Answers

Yes! That is correct.

Aiko i encloing a new rectangular flower garden with a rabbit garden fence. She ha 40 feet of fencing

Answers

A = -x² + 20 is a quadratic function in standard form that depicts each area as a function of width.

What makes anything a quadratic function?

A quadratic in mathematics is a particular kind of problem that involves squaring, or multiplying a variable by itself. This terminology comes from the fact that a square's area equals the product of its side length and itself. Quadratum, the Greek word meaning square, is where the word "quadratic" originates.

Briefing:

Now, give the x and y labels to the two sides.

We are aware that a rectangle's area is;

A = length * width

Thus;

A = xy

Given that she has 40 feet of fencing, the following follows:

y = 0.5(40) - x

y = 20 - x

Consequently, the area in the quadratic function formula is;

A = x(20 - x)

A = 20x - x²

A = -x² + 20

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The slope of the line with equation y=-3x - 2 is multiplied by 2.
What is the x-intercept of the resulting line?

Answers

Step-by-step explanation:

-a/b is slope so here .on comapring slope is 3

after multiply by 2 ans. is 6

x Intercept is where it cut the x-axis so equation of line will have slope 6

X interceptor remain the same

h(x) = −7x² + 10x - 5

Answers

Answer: The expression you provided is a quadratic function in the form of H(x) = ax^2 + bx + c, where a = -7, b = 10, and c = -5. The graph of this function is a parabola with the vertex located at x = -b/2a = -10/(-14) = 5/7. The y-coordinate of the vertex can be found by plugging the x-coordinate into the original function, giving us H(5/7) = (-7)(5/7)^2 + 10(5/7) - 5 = -5/7 + 25/7 - 5 = 0. This means that the vertex of the parabola is located at the point (5/7, 0). The general form of the quadratic function is H(x) = -7(x - 5/7)^2.

answer this please i need help

Answers

Answer:

it is 180

Step-by-step explanation:

Find the equation of a line perpendicular to y 7 = - 4/3x that pae through the point (-8, -1)

Answers

The equation of a line perpendicular to y 7 = - 4/3x that pass through the point (-8, -1) is 3x-4y=20 where x-intercept is 3 and y-intercept is -4.

What is an equation or line?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables.

What is equation of a straight line?

The formula for a straight line is y=mx+c where c is the height at which the line intersects the y-axis, often known as the y-intercept, and m is the gradient.

Given line ;

y 7 = - 4/3x

now comparing it with y=mx+c to find the value of m and we found;

m1=-4/3

now if two lines are perpendicular then,

m1.m2=-1

m2=3/4

now finding the equation of line passing through the point (-8, -1)

x1=-8

y1=-1

(y−y1)=m(x−x1)

Y+1=(3/4)(x+8)

Y+1=(3x/4)+(24/4)

Y=(3x/4)+(6)-1

Y=(3x+20)/4

4y=3x+20

rearrange;

3x-4y=20

this is our required value.

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-6(10x-10) - 5 how do I solve this

Answers

Answer: x= 11/12

Step-by-step explanation:

-6(10x-10) - 5

-60x +60 - 5

-60x + 55

Subtract 55 on both sides

-60x = -55

x= 55/60

x= 11/12

Sale! 75% OFF
of the original price!
If a strawberry milkshake has a sale price of $1, what was the original price?
Submit

Answers

Answer: $4

Step-by-step explanation:

75% = 3/4

If 4/4 = full price,

subtract 3/4

4/4 - 3/4 = 1/4 = 25% of the original price

25% = $1

75% = $3

$1 + $3 = $4

Two student clubs were selling t-shirts and school notebooks to raise money for an upcoming school event. In the first few minutes, club A sold 2 t-shirts and 3 notebooks, and made $40. Club B sold 1 t-shirt and 1 notebook, for a total of $16.

A matrix with 2 rows and 2 columns, where row 1 is 2 and 3 and row 2 is 1 and 1, is multiplied by matrix with 2 rows and 1 column, where row 1 is x and row 2 is y, equals a matrix with 2 rows and 1 column, where row 1 is 40 and row 2 is 16.

Use matrices to solve the equation and determine how many of each item were sold. Show or explain all necessary steps.

Answers

The value of the matrix multiplication A x B is matrix C

The value of B is   [tex]B = \begin{pmatrix}x\\ y\end{pmatrix} = \begin{pmatrix}8\\ 8\end{pmatrix}[/tex]

What is multiplication of matrices?

The product of two matrices A and B is defined if the number of columns of A is equal to the number of rows of B. The first matrix must have the same number of columns as the second matrix has rows. The number of rows of the resulting matrix equals the number of rows of the first matrix, and the number of columns of the resulting matrix equals the number of columns of the second matrix

Given data ,

The number of shirts sold by club A = 2

The number of notebooks sold by club A = 3

The number of shirts sold by club B = 1

The number of notebooks sold by club B = 1

Now , the value of matrix A is

[tex]A = \begin{pmatrix}2&3\\ 1&1\end{pmatrix}[/tex]

The value of matrix B is

[tex]B = \begin{pmatrix}x\\ y\end{pmatrix}[/tex]

The product of matrix A and B will be C , and the value of matrix C is

[tex]C = \begin{pmatrix}40\\ 16\end{pmatrix}[/tex]

So , the equation is

A x B = C

Substituting the values in the equation , we get

[tex]\begin{pmatrix}2&3\\ 1&1\end{pmatrix}\begin{pmatrix}x\\ y\end{pmatrix}=\begin{pmatrix}40\\ 16\end{pmatrix}[/tex]

On simplifying the equation , we get

[tex]\begin{pmatrix}2x+3y\\ x+y\end{pmatrix}=\begin{pmatrix}40\\ 16\end{pmatrix}[/tex]

So , the equations are

2x + 3y = 40   be equation (1)

x + y = 16   be equation (2)

Multiply equation (2) with 2 , we get

2x + 2y = 32   be equation (3)

Now , subtracting equation (3) from equation (1) , we get

y = 8

Substituting the value for y in equation (2) , we get

x + 8 = 16

Subtracting 8 on both sides of the equation , we get

x = 8

Therefore , the value of x is 8 and y is 8

Hence , the value of matrix B is   [tex]B = \begin{pmatrix}x\\ y\end{pmatrix} = \begin{pmatrix}8\\ 8\end{pmatrix}[/tex]

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Somebody solve This maze?

Answers

Answer:

check image

Step-by-step explanation:

do the cross method for each one for example for the first one do 11x20 which equals 220 then divide that by 22 so 220/22 that gives you 10

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