The height of adult males on a given South Pacific Island is approximately normally distributed with mean 65 inches and standard deviation of 4 inches. a). Taller than 64 inches b.) shorter than 62 inches c.) between 64 inches and 68 inches d.) between 58 and 68 inches e.) taller than 58 inches

The length of the straw is 3.74 inches.

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

In rectangular box,

Length (l) = 2 inches

Width (w) = 1 inches

Height (h) = 3 inches

Here, The straw is said to fit into the box diagonally from the bottom.

So, the length (s) of the straw is calculated as:

⇒ s = √ l² + w² + h²

⇒ s = √ 2² + 1² + 3²

⇒ s = √ 4 + 1 + 9

⇒ s = √ 14

⇒ s = 3.74 inches

Thus, The length of straw = 3.74 inches

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The length of the straw will be 3.7416  inches long in radical form.

If a cuboid has length = l units, breadth = b units, and height = h units, then we can evaluate the length of the diagonal of a cuboid using the formula : X²=l²+b²+h²

Here,

As per the question the length of the straw is equal to length of the diagonal of Rectangular box.

l= 3 inch , b= 2 inch , h= 1 inch

Let us consider the length of the straw be 'x'.

As, Diagonal of Cuboid is,

X²=14

X=√14

i.e. X=3.7416

We get, X= 3.7416 (in radical form)

Hence, the length of the straw will be  5.91607 inches.

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In a triangle, a line is drawn parallel to one side of the triangle. Then it ratio of the two similar triangles will be con

The Basic Proportionality Theorem, often known as the Thales Theorem, was developed by the eminent Greek mathematician Thales. He asserted that the ratio of any two matching sides is constant for any two equiangular triangles. He developed the basic proportionality theorem based on this idea (BPT). Similar triangles have presented this idea. When two triangles resemble one another.

Think about the triangle ΔABC in the given illustration. A line PQ connecting the sides AB and AC of P and Q in this triangle is drawn parallel to the side BC of the triangle.

AP/PB = AQ/QC

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Therefore the slope of the line joining the points (2,2) and (6,8) is equal to 2/3.

What is meant by slope?

A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x).

The formula for finding the slope of a line is [tex]m= \frac{X2-X1}{Y2-Y1}[/tex].

Where (X1, Y1) and (X2, Y2) are the points on the line.

The given points are (2,2) and (6,8).

Therefore slope is

[tex]m=\frac{6-2}{8-2} \\m=\frac{4}{6} \\m=\frac{2}{3}[/tex].

The slope is 2/3.

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Step-by-step explanation:

I'm assuming that its 23 to the power x since you said it is an exponential equation.

as for the hint there is no specific base specified so I'll do the best I can with the answer.

Angie can begin solving by applying log to the base 23 on both sides. when this is done, Angie will be left with:

[tex] log_{23}( {23}^{x} ) = log_{23}(6) [/tex]

and as we know the power rule in logarithms allows us to remove the power within the expression.

hence, we'll get:

[tex]x log_{23}(23) = log_{23}(6) [/tex]

furthermore, if we have the same number and base within a logarithmic expression it will simply become 1 giving us the final answer:

[tex]x = log_{23}(6) [/tex]

if the question that I've answered is different to yours please let me know and I'll make sure to fix it.

hope this helps :)

The light cream milk product have approximately 15.36 grams of milk fat in an 80-gram serving.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Let n be the percentage of milk product to have approximately 15.36 grams of milk fat in an 80-gram serving.

Using percentage formula,

15.36 = n x 80 / 100

n = 1536 / 80

n = 19.2%

Therefore, the product is light cream milk.

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On solving the provided question, we can say that difference of cylinder between the height of the soap 8 cm.

One of the most fundamental curved geometric forms is the cylinder, which is often a three-dimensional solid. It is referred to as a prism with a circle as its base in elementary geometry. Several contemporary fields of geometry and topology also define a cylinder as an indefinitely curved surface. A three-dimensional object known as a "cylinder" consists of curving surfaces with circular tops and bottoms. A cylinder is a three-dimensional solid figure that has two bases that are both identical circles joined by a curving surface at the height of the cylinder, which is determined by the distance between the bases from the center. Examples of cylinders are cold beverage cans and toilet paper wicks.

[volume of cylinder]=pi*r²*h- =  h=[volume of cylinder]/(pi*r²)

Volume=5652 cm³

r=7.5 cm, so,  h= [tex][5652]/(3.14*7.5²) = h=32 cm[/tex]

the height of the soap in the full dispenser is 32 cm

the height when 4,239 cubic centimeters of soap remains in the dispenser is h  [tex]=[4239]/(3.14*7.5²) = h=24 cm[/tex]

the difference is [tex]32-24 = 8 cm[/tex]

the answer is

8 cm

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Answer:

4

Step-by-step explanation:

1/3 of 30 students play sport

30×1/3

= 10

2/5 of this number plays soccer

10×2/5

= 20/5

= 4

Answer:

7:50 am in the morning

Step-by-step explanation:

17:50pm = 5:50pm

first simply this by only adding 12 hours

12 hours later- 5:50 am

Then add 2 hours to get the answer

14 hours- 7:50 am in the morning.

( I think)

...

The question is asking for the value of a quantity that decays continuously at a rate of 0.1% per hour. We are given that the initial value of the quantity is 7800 and are asked to find the value after 1.25 days (30 hours).

What is a ratio in mathematics?

A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3).

We can use the following formula to find the final value of the quantity after a certain amount of time:

final value = initial value * (1 - decay rate)^time

Where decay rate is given as a decimal (0.1% = 0.001)

Plugging in the given values, we get:

final value = 7800 * (1 - 0.001)^30

The final value is around 7396.65

Rounding the final value to the nearest hundredth, the final value after 1.25 days is:

7396.65 ≈ 7396.66

The value of the quantity after 1.25 days, to the nearest hundredth is 7396.66.

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The x-intercept of the line 4x-y =- 4  is (1,0).

At x-intercepts, y=0  and at

y-intercepts, x=0.

So, to find the,

x-intercept, set y=0

4x−0=4

4x=4

x=1.

The points at which the graph of a function or an equation crosses or "touches" the x-axis of the Cartesian Plane are referred to as the x-intercepts. This could be thought of as a point with a y-value of zero. Let y equal 0 and then solve for x to determine the equation's x-intercepts.

Because the line crosses the x-axis when y=0, the equation for x must be solved in order to determine the x-intercept. We can solve for the intercepts when an equation is not in the form y = mx + b by solving for the remaining variable and plugging in 0 as necessary. To locate the y-intercept: solve for y and set x to zero.

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(A) There is only one solution to the given system.

(B) There is no solution to the given system

(C) There are infinite solutions to the system.

What is solution of the system?

A set of values for a variable that simultaneously satisfy each equation is the solution to a system of equations. A system of equations must be solved by identifying all possible sets of variable values that make up the system's solutions.

Given:

3(- n + 4) + 5n = 2n ← distribute and simplify left side

- 3n + 12 + 5n = 2n

2n + 12 = 2n ( subtract 12 from both sides )

2n = 2n - 12 ( subtract 2n from both sides )

0 = - 12 ← not possible

This indicates the equation has no solution

Comparing the types of solutions

A n = 3

Indicates that there is only one unique solution to the equation.

B no solutions

This is indicated when you solve and obtain a ridiculous statement, similar to the one obtained in part A, that is

0 = 12

C infinite solutions

This is indicated when you solve the equation and obtain

4 = 4 or - 3 = - 3

Hence,

(A) There is only one solution to the given system.

(B) There is no solution to the given system

(C) There are infinite solutions to the system.

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Answer:

D

Step-by-step explanation:

Answer:

279936

Step-by-step explanation:

i put it in the calculator. I honestly get how to do the exponents themselves but not dividing with them.

Answer:

Hope this is right :)

Step-by-step explanation:

Practice makes perfect because by reapeting something multiple times you will adventually get better

Answer:

https://www.tiger-algebra.com/drill/36,33,30,27,24,21/

Here is solution of this question.

Answer:

[tex](x,y)\rightarrow(3,2)[/tex]

Step-by-step explanation:

I assume you mean [tex]\log_x(27)+\log_y(4)=5[/tex] and [tex]\log_x(27)-\log_y(4)=1[/tex]:

[tex]\biggr(\log_x(27)+\log_y(4)\biggr)-\biggr(\log_x(27)-\log_y(4)\biggr)=5-1[/tex]

[tex]2\log_y(4)=4\\\log_y(4)=2\\4=y^2\\2=y[/tex]

[tex]\log_x(27)+\log_y(4)=5\\\log_x(27)+\log_2(4)=5\\\log_x(27)+2=5\\\log_x(27)=3\\27=x^3\\3=x[/tex]

Answer:

D

Step-by-step explanation:

All you need to know is that the square root of 81 is 9. Then you can eliminate all the graphs that don´t have C plotted at 9.

Answer:

1407.4

Step-by-step explanation:

volume = π · r^2 · h

you plug in the values and get => 1,407.434

Rounded to the nearest tenth = 1407.4

Hope this Helps!

Please mark as brainiest if correct (o_o)

Answer: Hello your question is quite vague but i will provide a general answer within the scope of your company

answer : D = Y + Z  

Step-by-step explanation:

Moving from city W to city x

Given that there is a milestone at the beginning of the journey ( i.e. at City W )

and Another milestone is Located between City W and City X after traveling for time T

lets assume

distance between Milestone at W and milestone between W and x =  Y

distance between City x and milestone between City W and City x = Z

Finally to determine the Distance between City x and city W

D = Y + Z  

This expression has no defined meaning. It is not a valid mathematical expression.

− [infinity] [infinity] is not a valid mathematical expression so it has no defined meaning.

The expression − [infinity] [infinity] is not a valid mathematical expression, and thus it has no defined meaning. It is not a valid mathematical expression because it contains two symbols, infinity and negative infinity, which do not interact with each other in any meaningful way. Infinity is a concept that is used to represent an unbounded or infinitely large value, while negative infinity is a concept used to represent a value that is infinitely small. When combined, these two symbols do not represent any meaningful mathematical quantity. Therefore, the expression − [infinity] [infinity] has no defined meaning.

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Answer:

Well, if the inequality is g<6, the second graph would be correct. (6 with the open circle)

Step-by-step explanation:

A open circle indicates that the solution is greater than or less than. There is a simple way I like to do it, if the sign is going to the right, you would have to graph to the left. That is just a simple way you can do it. But, the answer is the second graph. (Top left corner)

The age group that falls between two standard deviations is 20 to 28.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean.

Given, The average age of a university student was found to be 24 with a standard deviation of 2.

Therefore, age group is within 2 standard deviations of the mean is,

24 + 2×2 = 24 + 4 = 28,

And 24 - 2×2 = 24 - 4 = 20.

So, The age group between 20 to 28 falls within 2 standard deviations of the mean.

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Answer:

y= - 5/2x - 2

Step-by-step explanation:

Y=2/5x + 2

Making it perpendicular, the slope will change to it's reciprocal and swap operations (+ becomes -). 2/5 will be -5/2. We already know the y-intercept which is -2, so simply put, the equation in slope-intercept form is y = -5/2x - 2

Answer:

Step-by-step explanation:

Given function:

Perpendicular lines have opposite reciprocal slopes.

The line that is perpendicular to the given will have a slope of -5/2.

Now use the point (2, -2) and point-slope form to find the equation:

Answer:

AB ≈ 9.11

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan44° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{8.8}{AB}[/tex] ( multiply both sides by AB )

AB × tan44° = 8.8 ( divide both sides by tan44° )

AB = [tex]\frac{8.8}{tan44}[/tex] ≈ 9.11 ( to 3 sf )

Answer:

Y=2x-17

Step-by-step explanation:

If a line is perpendicular it means their slope is reciprocal to each other.

Y=-1/2X+5 has a slope of -1/2

The function that is perpendicular will have a slope of 2.

Y=2x+b

Plug in(10,3)

2(10)+b=3

b=-17

Y=2x-17

Answer:

(0, 3); (-3, 0)

Step-by-step explanation:

y = x + 3

ordered pairs:

y = 0 + 3 = 0 --> (0, 3)

0 = x + 3 --> x = -3 --> (-3, 0)