The heights of the adults in one town have a mean of 67.1 inches and a standard deviation of 3.5 inches. What can you conclude from​ Chebyshev's theorem about the percentage of adults in the town whose heights are between 60.1 and 74.1​ inches?

Answer:

store d

Step-by-step explanation:

divide the price per amount for each store. the answer that you got is how much for a pound. you can then choose the lowest one, which is d.

I hope this helps

A' - (-1,4)

B' - (-1,8)

C' - (-5,4)

hope this helps

Answer:

Step-by-step explanation:

output = y

input = x

y=-2x + 3

if you follow the pattern, the next input is 5 which will output -7

Answer:

You can show the amount of money by using a model or to show equations.

Step-by-step explanation:

Answer: firt you need to take f and make it the subject then devide it

Step-by-step explanation:

Answer:

D=1

Step-by-step explanation:

1. Combine multiplied terms into a single fraction
2. Cancel terms that are in both numerator and denominator
3. Divide by 1

Answer:

I honestly don't know but I think its all real numbers but not zero

Step-by-step explanation:

Function graph that has y- intercept of 3 is g(x) = 3\((\frac{1}{4}) ^{x}\).

y- intercept will be 3 when we will put value of x = 0 and y will be 3 that graph will have y intercept 3

A) h(x) = 5\((2)^{x}\)

when x = 0

Any number with zero power is always 1

h(x) = 5

B) h(x) = 5\((0.5)^{x}\) + 0.5

when x = 0

h(x) = 5 + 0.5

h(x) = 5.5

C) g(x) = 3\((\frac{1}{4}) ^{x}\)

when x = 0

g(x) = 3

Here we get y intercept as 3.

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Answer:

Diagonal is = 16.97

Step-by-step explanation:

To find the length of a diagonal across a square use this formula

Plug in

D = 16 . 97

The inverse function of f(x) = 3x + 5 is given as follows:

C. p(x) = 1/3x - 5/3.

The function in the context of this problem is defined as follows:

f(x) = 3x + 5.

To obtain the inverse function, first we must exchange the variables x and y, hence:

y = 3x + 5

x = 3y + 5.

Now we must isolate the variable y, hence:

3y = x - 5

y = (x - 5)/3.

p(x) = 1/3x - 5/3.

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Answer:

h=46

Step-by-step explanation:

Add 18 to both sides

Answer:

Here we have the relation between the speed of the salmon and the temperature.

a) the relation dS/dT tell us how the speed of the salmon changes as the temperature changes, and the units should be (if speed is m/s and temperature is in °C )

[dS/dT ] = [m/s*°C ].

b) I can not do a draw of the figure, but i can give a aproximation.

For T = 18°C, we can see that we are around the maximum of the curve, this means that around this point we will find the zero in the first derivate.

then S'(18) ≈ 0 m/s*°C

this means that around this point the changes are small.

for T = 10°C

Around this region, we can see almost a linear behavior.

so we can take a range of +-2°C

S(12°C) = 25m/s

S(8°C) = 20m/s

then the slope can be obtained using the relation:

S = (Y2 - Y1)/(X2 - X1) where this is the slope for the line that goes trough the pairs. (X1, Y1) and (X2, Y2)

S = (25 - 20)/(12 - 8) = 5/4

then we have that S´(10°C) ≈ 5/4 m/s*°C

Those two results are approximations, you may find better approximations by doing this with a ruler and drawing the tangents.

(A) The required down payment is $48,000.

(B) The amount of the mortgage is $192,000.

(C) Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

(a) To find the required down payment, we need to calculate 20% of the house price.

Down payment = 20% of $240,000

Down payment = 0.2 * $240,000

Down payment = $48,000

The required down payment is $48,000.

(b) The amount of the mortgage is equal to the total cost of the house minus the down payment.

Mortgage amount = Total cost of the house - Down payment

Mortgage amount = $240,000 - $48,000

Mortgage amount = $192,000

The amount of the mortgage is $192,000.

(c) To find the monthly payment for the mortgage, we can use the formula for the monthly payment on a fixed-rate mortgage:

Monthly payment = P * r * (1 + r)^n / ((1 + r)^n - 1)

Where:

P = Principal amount (mortgage amount)

r = Monthly interest rate (8.5% annual interest divided by 12 months and converted to a decimal)

n = Total number of monthly payments (30 years multiplied by 12 months)

Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

Using this formula and performing the calculation will give you the monthly payment amount.

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Answer:

60 degrees

Step-by-step explanation:

The angles all have to add up to 180, so you can do

\(34 + 86 +x = 180\\120 + x = 180\\x = 60\)

Answer:

60° is your answer

I hope it's helps you

Answer:

3³-8*3 = 3

Step-by-step explanation:

Use order of operations:

P -> Parentheses

E -> Exponents

M -> Multiplication (left to right)

D -> Division (left to right)

A -> Addition (left to right)

S -> Subtraction (left to right)

3³=27 is done first because of the exponent. Next, we would do 8*3=24 because that has multiplication. Finally, we do 27-24=3 because of subtracting being the last step in PEMDAS.

Therefore, the final answer is 3

Answer:

17is the truth

Step-by-step explanation:

Answer:

p-value of 0.1357 > 0.1, which means that we do not reject the null hypothesis, that is, there is not sufficient evidence to conclude that the population mean is above 85.

Step-by-step explanation:

Decision:

If the p-value is greater than the significance level, we accept the null hypothesis. Otherwise, we reject the null hypothesis.

In this question:

Null hypothesis:

μ = 85

Alternate hypothesis:

a: μ > 85

SPSS reports a two-tailed p-value of 0.2714.

We are testing if the mean is greater than a value, which is a one-tailed test, so the p-value is of 0.2714/2 = 0.1357

Decision:

p-value of 0.1357 > 0.1, which means that we do not reject the null hypothesis, that is, there is not sufficient evidence to conclude that the population mean is above 85.

The limit Lim x→1 (sinx - sin1)/(x - 1) = cos1

The limit of a function f(x) as x tends to a is the value of the function f(x) as x tends to a. It is written as \(\lim_{x \to a} f(x) = L\)

GIven that we require the limit given as  \(\lim_{x \to 1} \frac{sinx - sin1}{x - 1}\)

So, substituting the value of x = 1 into the given equation, we have that

\(\lim_{x \to 1} \frac{sinx - sin1}{x - 1} = \frac{sin1 - sin1}{1 - 1} \\= \frac{0}{0}\)

Since 0/0 is one of the inderterminate forms, we use the L'hopital's rule to find the limit of the given function.

L'hopital's rule states that if \(\lim_{x \to a} f(x) = \lim_{x \to a} g(x) = 0\) and f'(x) and g'(x) exist then \(\lim_{x \to a} \frac{f(x)}{g(x)} = \lim_{x \to a} \frac{f'(x)}{g'(x)}\)

Let the variables be

So, since we know that

\(\lim_{x \to 1} \frac{sinx - sin1}{x - 1} = \frac{0}{0}\),

So,  \(\lim_{x \to a} \frac{f(x)}{g(x)} = \lim_{x \to a} \frac{f'(x)}{g'(x)}\)

So, we differentiate both the numerator and denominator and find the limit.

So,

\(\lim_{x \to 1} \frac{f'(x)}{g'(x)} = \lim_{x \to 1} \frac{\frac{d(sinx - sin1)}{dx} }{\frac{d(x - 1)}{dx} } \\= \lim_{x \to 1} \frac{cosx - 0}{1 - 0} \\= \lim_{x \to 1}cosx \\= cos1\)

So, \(\lim_{x \to 1} \frac{sinx - sin1}{x - 1} = cos1\)

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Hey there! I'm happy to help!

When graphing a system of equations, the solution is the point where the two lines meet. We see that they intersect at (-2,4).

Therefore, the solution to the system of equations is (-2,4).

Have a wonderful day! :D

Answer:

A

Step-by-step explanation:

edge 2020 Dec 9

Answer:

3/4

Step-by-step explanation:

The equation of the parabola with the given focus and directrix is x² = 12( y - 4 ).

Since the directrix y = 1, it shows it is vertical, so we use the equation of the parabola that opens up or down.

( x - h )² = 4p( y - k )

Given the data in the question;

First, we determine the vertex.

The vertex ( h,k ) is half way between the directrix and the focus.

Find the y-coordinate of the vertex using;

y = ( y-coordinate of focus + directrix )/2

y =  (7+1)/2 = 8/2 = 4

The x-coordinate of the vertex is the same as that of the focus 0

Hence, the vertex is ( 0,4 )

Next, we determine the distance p from the focus to the vertex.

p = y-coordinate of focus - y-coordinate of vertex

p = 7 - 4

p = 3

Now, plug the known values into the equation and simplify

( x - h )² = 4p( y - k )

( x - 0 )² = 4(3)( y - 4 )

x² = 12( y - 4 )

Therefore, the equation of the parabola with the given focus and directrix is x² = 12( y - 4 ).

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The gradient of the line K that is perpendicular to the line H that has a gradient of 7 is -1/7

Perpendicular lines are lines that form a right angle (90 degrees angle) at the point of their intersection, in which the slope of one of lines is the negative reciprocal of the slope of the other line.

The gradient of the line H = 7

The relationship between the lines K and line H is; Line K is perpendicular to the line H

The slope of a line a, which is perpendicular to another line b with slope m is; -1/m

Therefore, the slope of the line K is -1/7

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Answer:

  (a)  8 1/2 ÷ 1/4

Step-by-step explanation:

Katie's total mileage is the product of the miles per day (1/4) and the number of days (n).

  miles = (1/4)n

If Katie jogged 8 1/2 miles, then we have ...

  8 1/2 = (1/4)n

We find the value of n (the number of days) by dividing both sides of this equation by the coefficient of n:

  (8 1/2) ÷ (1/4) = n

_____

Additional comment

If you consider the units, you know that the only possible operation is division. The number 8 1/2 has units of miles. The number 1/4 has units of miles per day.

  \(\dfrac{\text{miles}}{\left(\dfrac{\text{miles}}{\text{day}}\right)}=\dfrac{\text{miles}\cdot\text{day}}{\text{miles}}=\text{days}\)

If you multiply, the product units are miles²/day. You cannot add or subtract numbers with different units. (They are not "like terms".)

As here, "units analysis" often tells you what math operations are needed, and which ones make no sense whatever.

The area of the kite is A = 48 units²

Given data ,

Let the area of the kite be represented as A

Now , the value of A is

Let the first diagonal of the kite be d₁ = 12 units

Let the second diagonal of the kite be d₂ = 8 units

Now , Area of kite = ( 1/2 ) d₁ x d₂

On simplifying , we get

A = ( 1/2 ) ( 12 ) ( 8 )

A = 48 units²

Therefore , the value of A is A = 48 units²

Hence , the area of the kite is A = 48 units²

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The total number of zero pairs in the expression (-5) + (-8) is 2.

We must pair the negative numbers so that their sum is equal to zero in order to determine the number of zero pairs in this expression. To put it another way, we need to find pairs of numbers whose sum is the same as their additive inverse.

We are combining two negative numbers in the expression (-5) + (-8).

In this case, we can pair the (-5) with a (+5), since (-5) + (+5) = 0, and we can also pair the (-8) with a (+8), since (-8) + (+8) = 0.

As a result, the expression (-5) + (-8) contains two zero pairs: one for (-5) and (+5) and one for (-8) and (+8).

Therefore, there are a total of 2 zero-pairs in the expression (-5) + (-8).

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We can draw a triangle to describe the situation as shown below:

This is a right triangle, therefore we can use the trigonometric relations on it. We were given one of the angles (23 degrees), the opposite cathetus and we need to find the hypothenuse, therefore we will use the sine relation.

The ramp is 107.5 inches long.

Working backwards, on Wednesday morning we have 60 / (1/2) = 120 pounds of ice.

2/3 melts on Tuesday so 120 pounds must be 1/3 of the ice.

120 / (1/3) = 360

Answer: D. 360

Step-by-step explanation:

first of all, all answer options are basically wrong, because an area is always measured in units² (and not just in units).

the blue colored area is the area of the whole square minus the area of the circle.

the side length of the square is 2 times the radius of the circle (the diameter) : 2×12 = 24 units.

so, the area of the square is

24² = 576 units²

the are of the circle is

pi×r² = pi×12² = 144pi units²

so, the blue area is

576 - 144pi = 123.6106579... ≈ 124 units²

therefore, D is the right answer.

Answer:

8 cm³

Step-by-step explanation:

Let \(x\) be the length of one edge of the cube.

A cube has 12 edges.

Therefore, if the total length of all the edges of a cube is L cm, then we can write this as:  L = 12\(x\)

A cube has 6 square faces.  Area of each face = length x width.  If the length and width of the cube is \(x\) (as already defined), then the surface area of one face is \(x^2\).  Therefore, the surface area of the cube = 6\(x^2\)

Therefore, if the surface area = total length of the edges:

                                  \(6x^2=12x\)

divide by \(x\):                  \(6x=12\)

divide both sides by 6:  \(x=2\)

So the length of each edge of the cube is 2 cm

Now we know the length of each of the edges of the cube, we can calculate the volume:

Volume = width x length x height

             = 2 x 2 x 2

             = 8 cm³