Suppose that a random sample of adult males has a sample mean heart mass of x¯=310.1 grams, with a sample standard deviation of s=6.6 grams. Since adult male heart masses are generally symmetric and bell-shaped, we can apply the Empirical Rule. Between what two masses do approximately 68% of the data occur? Round your answer to the nearest tenth.

Answer:

2 and -8

Step-by-step explanation:

[tex]x^2+6x-6=10 \\\\x^2+6x-16=0 \\\\(x+8)(x-2)=0 \\\\x=2, -8[/tex]

Hope this helps!

Answer:

b. 4.9 × 1011

Step-by-step explanation:

Using scientific notation is similar to expressing in standard form. Given that (7 × 105)2

We open the parenthesis. This may first be expressed as

7² × 10⁽⁵⁾²

Then expand,

= 49 × 10¹⁰

To put in scientific notation, 49 = 4.9 × 10

Hence the expression becomes

= 4.9 × 10 × 10¹⁰

Using the laws of indices

= 4.9 ×  10¹¹ in scientific notation

Answer:

4.9 × 1011

Step-by-step explanation:

I did it in grandpoint

Answer:

could be c might be a also

Step-by-step explanation:

Answer:

The correct answer is D. The wording of the question is biased to strengthen opposition against a particular candidate. The question wording should be changed to be more neutral.

Step-by-step explanation:

The phrasing and setup of the poll will produce responses that are biased against the candidate. The setup of the poll should be changed to avoid influencing the opinions of the respondents.

Answer is A

Midpoint

[tex] \frac{x \: a xis}{2} . \frac{y \: axis}{2} [/tex]

[tex] \frac{2 + 2}{2} . \frac{4 + ( - 9)}{2} [/tex]

[tex](2. - 2.5 )[/tex]

So first, you want to isolate your Y. To do this, you must get it alone on ONE SIDE of the equation.

5x - 2y = 3

-5x         -5x

[tex]\frac{-2y}{-2}[/tex] = [tex]\frac{3-5x}{-2}[/tex]

ANSWER: y = \frac{3-5x}{-2}

Answer:

This is the answer

Step-by-step explanation:

Answer:

The system of equations has a one unique solution

Step-by-step explanation:

To quickly determine the number of solutions of a linear system of equations, we need to express each of the equations in slope-intercept form, so we can compare their slopes, and decide:

1) if they intersect at a unique point (when the slopes are different) thus giving a one solution, or

2) if the slopes have the exact  same value giving parallel lines (with no intersections, and the y-intercept is different so there is no solution), or

3) if there is an infinite number of solutions (both lines are exactly the same, that is same slope and same y-intercept)

So we write them in slope -intercept form:

First equation:

[tex]6x+y=-1\\y=-6x-1[/tex]

second equation:

[tex]-6x-4y=4\\-6x=4y+4\\-6x-4=4y\\y=-\frac{3}{2} x-1[/tex]

So we see that their slopes are different (for the first one slope = -6, and for the second one slope= -3/2) and then the lines must intercept in a one unique point. Therefore the system of equations has a one unique solution.

===========================================================

Explanation:

Start at the point (0,0) which is the origin. Move up 2 units then to the right 3 units to arrive at the next blue point (3,2). We see that

rise = 2

run = 3

slope = rise/run = 2/3

----------

If you want to use the slope formula, then you would say

m = (y2 - y1)/(x2 - x1)

m = (2 - 0)/(3 - 0)

m = 2/3

I used the two points (0,0) and (3,2). You could use any two points you like on this line.

Side note: The slope is positive because we are moving uphill as you move from left to right along this orange line.

The slope of the line p is given by 2/3.

The tangent value of the angle which the straight line makes with the positive X axis is called the slope of that particular straight line.

If s line passes through two points (a,b) and (c,d) then the slope of the line (m) is given by,

m = (d-b)/(c-a)

Here in the given figure we can see that the given line p passes through (3,2), (-3,-2) and the origin (0,0)

then taking any two points out of that three (3,2), (0,0) we get, the slope of p is given by,

m = (2-0)/(3-0) = 2/3

Hence slope of line p is given by 2/3.

Learn more about Slope here -

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Answer:

150

Step-by-step explanation:

If you draw a diagram, this will be a rectangle and the line across cuts it into a right triangle, with a base of 120 and a height of 90. The need to know the length of the hypotenuse of the triangle, so we can use the pythagorean theorem.

90^2 + 120^2 = c^2

c=150

Answer:

-6 on edge

Step-by-step explanation:

The value of b that causes the system of equations to have infinite solutions will be: b = -6

A system of linear equations will have infinite solutions only when both equations represent the same line.

In this case our equations are:

y = 6x + b

-3x + (1/2)*y = -3

So the value of b needs to be such that these two equations are equal

Let's isolate y in the second equation:

(1/2)*y = -3 + 3x

y = -3*2 + 3x*2 = -6 + 6x

Then we must have:

6x - 6 = 6x + b

-6 = b

Thus, the value of b that causes the system to have infinite solutions is b = -6.

If you want to learn more about systems of equations, you can read:

https://brainly.com/question/13729904

Answer:

I'm glad you asked!

Step-by-step explanation:

OK,let's simplify the number for a equivalent expression.

[tex]4+2(1+3x)[/tex]

Distribute:

[tex]=4+(2)(1)+(2)(3x)[/tex]

[tex]= 4+2+6x[/tex]

Combine Like Terms:

[tex]=4+2+6x[/tex]

[tex]=(6x)+(4+2)[/tex]

[tex]=6x+6[/tex]

The Final Answer is : [tex]6x+6[/tex]

The expression that is equivalent to 4+2(1+3x) is 6x+6.

Mathematical expressions that are made up of constants, variables, and coefficients that are combined using algebraic operations such as multiplication, addition, subtraction, and division are called Algebraic expressions.

Given, 4+2(1+3x)

Firstly distribute 2(1+3x) to get 2+6x then,

4+2(1+3x)

=4+2+6x

=6x+6

Thus, 4+2(1+3x)=6x+6

For more simplification visit- https://brainly.com/question/953809?referrer=searchResults

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Answer:

4/11

Step-by-step explanation:

There are 11 marbles in total, if 4 of them are white, then you have a 4/11 chance of getting a white marble.

Answer: negative

Step-by-step explanation:

because –57 + 19= -38

and negative plus positive is negative

so the answer is negative

Hope this helps :)

Answer:

Negative

Compare the absolute values (how far the number is away from zero)

57 is bigger than 19

since 57 is negative and bigger than 19 when they add the sum will still be negative

Step-by-step explanation:

Hello

We have two equations and need to find x and y

(1) 6x+7y=-46

(2) 3x-2y=32

multiply (2) by 2 it gives

(2') 6x-4y=64

(1) - (2') gives

6x+7y-6x+4y=-46-64 = -110

so 11y = -110

y = -10

replace in (2) it gives

3x+20=32

3x=12

x = 12/3 = 4

the solution is (4,-10)

do not hesitate if you need further explanation

if you like my answer, tag it as the brainliest :-)

Answer:

A manufacturing machine has a 40% defect rate. If 131 items are chosen at random, then:

Answer:

π

Step-by-step explanation:

For a circle, arc length is equal to the radius times the angle.

s = rθ

s = (1) (π − 0)

s = π

Answer:

18 + 81 = 9(x² + 6x + 9)

11 = (x + 3)²

When we are completing the square, we are going to move the value of c across the equals.  We will do that by adding, and end up with

18=9(x²+6x)

We take the value of b (the coefficient of x), divide it by 2 and square it:

(6/2)²=3²=9

This is the value that completes the square.  However, since the entire square is multiplied by 9, this value must be multiplied by 9 before we can add it across the equals:

18+9(9) = 9(x²+6x+9)

18+81=9(x²+6x+9)

99=9(x²+6x+9)

Dividing both sides by 9, we have:

11=x²+6x+9

11=(x+3)²

Answer:

18 + 81 = 9(x2 + 6x + 9) and 11 = (x + 3)2

Step-by-step explanation:

EDG

Answer:

Looks like it's none.

Step-by-step explanation:

[tex]\frac{1}{7}*\frac{1}{8}=\frac{1}{56}[/tex]

Answer:

Step-by-step explanation:B and D I belive.

Answer:

-17

Step-by-step explanation:

-6-11=-17

Answer:

the answer is -17

Step-by-step explanation:

Answer:

Step-by-step explanation:

24/3 - 4

8 - 4 = 4

Answer:

The volume of the prism is 75 cubic inches

Step-by-step explanation:

The volume of the prism is the amount of space contained on the interior of the prism.

Now we have that this entire space is filled with cubes of defined volumes. Therefore, to get the volume of the prism, we can simply get the total volume occupied by all the cubes. This should give us our answer.

From the information we are given, we know that the there are 3 layers of cubes each containing 25 cubes.

This gives the total number of cubes to be 3 X 25 = 75 cubes in total

We also know that the volume of 1 cube is 1 cubic inch.

Hence the volume of 75 cubes will be 75 X 1 cubic inch = 75 cubic inches.

Answer:

x=135

Step-by-step explanation:

We know that sin(270) = -1/2

So 2x = 270

x = 135

Answer:

work is shown and pictured

Answer:

a) [tex]x = \log_{2} 9,000,000[/tex], b) [tex]x \approx 23.101\,days[/tex]

Step-by-step explanation:

The number of readers as a function of time is:

[tex]n = 2^{x}[/tex]

Where:

[tex]x[/tex] - Time, measured in days.

[tex]n[/tex] - Number of readers, dimensionless.

a) The time when the number of readers reaches 9 million is:

[tex]x = \log_{2} n[/tex]

[tex]x = \log_{2} 9,000,000[/tex]

b) The approximate solution rounded to the nearest thousandth is:

[tex]x \approx 23.101\,days[/tex]

Answer:

[tex]\boxed{\ P(B)=0.3 \ }[/tex]

Step-by-step explanation:

Hi,

We know that

P(A or B)=P(A)+P(B)-P(A and B)

so P(B)= P(A or B) - P(A) + P(A and B)

so

P(B) = 0.5 - 0.4 + 0.2 = 0.3

thanks

Answer:

A =12.56 m^2

Step-by-step explanation:

Find the area of a circle with radius 4

A = pi r^2

A = 3.14 * 4^2

A =50.24

Since this is 1/4 of the circle, multiply by 1/4

A = 1/4 * 50.24

A =12.56 m^2

Answer:

12.56

Step-by-step explanation:

the formula for the area of a circle is the following:

[tex]\pi r^{2}[/tex]

so divide that formula by 4 to get a quarter and plug in the radius for r.

[tex](\pi )(4^2)/4= 12.56[/tex]

Answer:

15

Step-by-step explanation:

Supplementary angles completes each other to 180°

if the teo angles are supplementary here the the sum of 10x - 5 + 35 should be 180°

10x - 5 + 35 = 180

10x + 30 = 180

10x = 150

x = 15

5 thousand ones is the same as 5,000. Each one takes up one place.

Answer:

5000

Step-by-step explanation:

Answer:

270 inches³

Step-by-step explanation:

Volume of carton = wlh

Where w is width, h is height and length is l

V = (9)(5)(6)

V = 270 inches³