if a right triangle has one side measuring 3√2 and another side measuring 2√3, what is the length of the hypotenuse?

Answer:

Explained below.

Step-by-step explanation:

The z-test statistic is given as follows:

[tex]Z=\frac{\bar X-\mu}{\sigma/\sqrt{n}}[/tex]

Here,

[tex]\bar X=\text{Sample Mean}\\\\\mu=\text{Population Mean}\\\\\sigma=\text{Population standard deviation}\\\\n=\text{Sample size}[/tex]

The p-value is well-defined as per the probability, [under the null-hypothesis (H₀)], of attaining a result equivalent to or greater than what was the truly observed value of the test statistic.

(i)

The difference between the sample mean and the original population mean are directly proportional to the z-test statistic.

So, increasing the  difference between [tex]\bar X[/tex] and [tex]\mu[/tex] will lead to an increase in the z-score.

And as the Z-score increases the p-value of the test decreases.

Thus, the complete statement is:

"Increasing the difference between the sample mean and the original population mean will result in an increase in the absolute value of z, and a decrease in the probability of obtaining a sample with that mean."

(ii)

The population standard deviation is inversely proportional to the z-test statistic.

So, increasing the population standard deviation will lead to a decrease in the z-score.

And as the Z-score decreases the p-value of the test increases.

Thus, the complete statement is:

"Increasing the population standard deviation will result in a decrease in the absolute value of z, and an increase in the probability of obtaining a sample with that mean"

(iii)

The number of scores in the sample is directly proportional to the z-test statistic.

So, increasing the number of scores in the sample will lead to an increase in the z-score.

And as the Z-score increases the p-value of the test decreases.

Thus, the complete statement is:

"Increasing the number of scores in the sample will result in an increase in the absolute value of z, and an decrease in the probability of obtaining a sample with that mean."

Answer: it seems to be D, but the equation makes practically no sense!

The value of the factor changes for the different amounts of service years and vacation weeks.

Step-by-step explanation: The equation means that the employee is trying to figure out the value of the "v-factor" for how vacation time is earned.

If you substitute the number of service years into the left side of the "formula" and vacation weeks on the right side, then solve for "v", v(15)=5 you get v= 1/3 or 0.33

If you substitute other numbers, like v(2)=2, so v= 1 then v(30) = 8, v = 4/15 or 0.2667. You see the factor's value decreases. The company is much more generous to to employees with one or two years of service than with the older ones.

Answer:

[tex]f^-^{1} (x)=\frac{19}{x}[/tex]

Step-by-step explanation:

To find the inverse of this function, switch the variables like this:

[tex]\frac{19}{x}\\\\x=\frac{19}{y} \\[/tex]

Then, solve for y, like this:

[tex]y= \frac{19}{x} \\[/tex]

Replace y with [tex]f^-^{1} (x)[/tex].

[tex]f^-^{1} (x)=\frac{19}{x}\\[/tex]

Answer:

256

Step-by-step explanation:

the first digit cannot be 0, so there are only 4 even numbers

For the second, third, and fourth digits, there are 5 available numbers.

Thus, the number of 4-digit numbers containing only even digits is 4 x 5 x 5 x 5 = 500

2nd place ( hundred place) can also be filled up by 4 number : 2, 4, 6, 8 and same logic applies to 3rd ( 10th ) and 4th( unit) .

so number of ways is 4*4*4*4= 256 ways .

Answer:

A = 49[tex]\pi[/tex]

Step-by-step explanation:

First, we need to find the length of the wire. We can calculate this because we are given the area of the square, so we can work backwards.

Use the area formula and plug in the numbers:

A = s²

121 = s²

11 = s

We can calculate the length of the wire by multiplying 11 by 4, which is 44.

Now, we know the circumference of the circle is 44 units because that is how long the wire is.

We can work backwards again to find the radius, using the circumference formula:

C = 2[tex]\pi[/tex]r

44 = 2[tex]\pi[/tex]r

22 = [tex]\pi[/tex]r

7 = r

Now, we can find the area of the circle:

A = [tex]\pi[/tex]r²

A = [tex]\pi[/tex](7)²

A = 49[tex]\pi[/tex]

Answer:

RP = 12.8 km

38 degrees

Step-by-step explanation:

RP = [tex]\sqrt{8^{2} + 10\\^{2} } \\[/tex]

RP = 12.8 km

angle = Inv sin = 8/12.8

angle 38.7°

Answer:

X=6

Step-by-step explanation:

2x+4=3x-2

-4 -4

2x=3x-6

-3x -3x

-1x=-6

--- ---

-1 -1

X=6

Answer:

6

Step-by-step explanation:

2x+4=3x-2

2x-3x=-2-4

-x=-6

(divide both sides by -1)

X=6

Answer: (1.5,-3) and (4.5, -3)

Step-by-step explanation:

The dilation rule to dilate a point (x,y) by a scaler factor of  k is given by :0

[tex](x,y)\to (kx,ky)[/tex]

Given: A Line Segment has the points (1,-2), and (3,-2).

Scale factor = 1.5

Then, the new points after dilation will be :

[tex](1,-2)\to(1.5\times1,\ 1.5\times-2)=(1.5,\ -3)[/tex]

[tex](3,-2)\to (1.5\times3,1.5\times-2)=(4.5,\ -3)[/tex]

Hence, the  new points after its dilated by a scale factor of = (1.5,-3) and (4.5, -3)

Answer: Sorry dont know

Step-by-step explanation:

Answer:

0.0398 dollars

Step-by-step explanation:

We are told in the question that

An apple picker in China earns an average wage of 45 cents per hour.

Mathematically

1 hour= 45 cents............ Equation 1

An apple picker can harvest about 2.0 bushels of apples each hour.

Mathematically

2.0 bushels = 1 hour ..............Equation 2

We are told that each bushel contains about 126 apples

1 bushel = 126 apples

2 bushels =

126 × 2

= 252 apples

Combining Equation 1 and 2 together,

We can say

An apple picker in 1 hour harvests 2 bushels of apples which is 252 apples and is paid 45 cents

1 hour = 2 bushels of apples

1 hour = 252 apples

1 hour = 45 cents

Hence we can say fro harvesting 252 apples, an apples picker is paid 45 cents

Mathematically,

252 apples = 45 cents

One gallon of apple juice requires 40 apples

We are to calculate the labor cost of one gallon of apple juice in dollars

If : 252 apples = 45 cents

40 apples = X cents

Cross Multiply

40 × 25 = 252 × X

X = (40× 25) ÷ 252

X = 3.984063745 cents

Hence the labor cost of 40 apples = 3.984063745 cents

Approximately = 3.98 cents

Converting 3.98 cents to dollars

100 cents = 1 dollar

3.98 cents =

= 3.98/100

= 0.0398 dollars.

Therefore, the labor cost of one gallon of apple juice in dollars is 0.0398 dollars.

Answer:

Table 4 represents a function.

Step-by-step explanation:

Functions require that each x-value has a unique y-value. In the other tables you see a value repeated in the x column, with a different value in the y column.

Step-by-step explanation:

Our polynomial is x²+30x +c with a missing value c

c should make this polynomial expression a perfect square

x²+ 30x+c

x² + 2*15*x +c

x²+2*15*x+15² ⇒ c = 15²=225

(x+15)²

Answer:

trig function is tangent

tan(63)=x/19

multiply each side by 19:

tan(63)19=x

x=37.3

Answer:

1/5

Step-by-step explanation:

2/9 * 9/10 = 2/10 = 1/5

Answer:

156.25

Step-by-step explanation:

[tex]\frac{1}{0.0064}\\\\\frac{10000}{64}\\ then divide \[/tex]

[tex]\frac{10000}{64} = \frac{2500}{16} =\frac{625}{4} = 156.25[/tex]

Answer:

120

Step-by-step explanation:

12 x 6 = 72

8x(12/2)=48

72+48 =120

Answer:

true

Step-by-step explanation:

because a number is always greater than, equal to, or less than another number

Answer: No solution

Step-by-step explanation: If you are doing the Unit Test on edge2020 then D No solution is the answer.

Answer:

the answer is no "solution"

Unit Test on Edge 2023

Answer:

Subtract [tex]3\frac{1}{5}[/tex] from both sides.

Step-by-step explanation:

We want to isolate the variable [tex]n[/tex]. To do this, we have to get rid of [tex]3\frac{1}{5}[/tex], which we can do by subtracting itself, since it equals 0.

[tex]3\frac{1}{5} + n =9[/tex]

[tex]n = 5\frac{4}{5}[/tex]

Answer:

ITS A

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

An easy way to do this is to simply take 360(the sum) and divide it by 5(the number of numbers) to get 72.  Thus, 72 is the middle number and the numbers are:

72

72,72,73

70,71,72,73,74

The smallest of these numbers is 70

Hope it helps <3

Hello!

Answer:

70 is the smallest number.

Step-by-step explanation:

If the sum of 5 consecutive numbers is 360, we can solve for the smallest number algebraically:

Let 'x' represent the smallest number:

and (x + 1), (x + 2), (x + 3), and (x+4) represent the other consecutive numbers:

x + (x + 1) + (x + 2) + (x + 3) + (x+ 4) = 360

Combine like terms:

5x + 10 = 360

Subtract 10 from both sides:

5x = 350

Divide both sides by 5:

x = 70. This is the smallest of the consecutive numbers.

We can check our work:

70 + 71 + 72 + 73 + 74 = 360.

Hope this helped!

Answer:

.72

Step-by-step explanation:

9 rounds up because 1-4 stay the same and 5-9 round up

Answer: 0.719 to the nearest hundredth is 0.72

Answer:

Step-by-step explanation:

The vertex of a parabola is directly in between the focus and the directrix. That means that the vertex of this parabola is at (1/2, 5). A parabola wraps itself around the focus and away from the directrix, so this parabola opens to the left. One other thing that we need to know is the distance between the vertex and the focus, the p value in the equation. So here's the equation we need (it's not a y= equation, though):

[tex]-(y-k)^2=4p(x-h)[/tex]

So here's what we know from the info above:

p = 5/2

h = 1/2

k = 5

and filling in:

[tex]-(y-5)^2=4(\frac{5}{2})(x-\frac{1}{2})[/tex] and simplifying:

[tex]-(y-5)^2=10(x-\frac{1}{2})[/tex] and then solving for x:

[tex]-\frac{1}{10}(y-5)^2+\frac{1}{2}=x[/tex]

Answer:

0.8

Step-by-step explanation:

because the template should be axr^n-1

where r is the common ratio

r=0.8

Answer:

0.8

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) Since these are production vehicles, we don't expect their top speed to be more than about 70 m/s, so the distance functions probably lose their validity after t = 25. Of course, t < 0 has no meaning in this case, so the suitable domain is about ...

  0 ≤ t ≤ 25

Note that the domain for the second car would be 3 ≤ t ≤ 25.

__

b) The graph of this system shows the cars will both have driven the same distance after 16.348 seconds.

__

c) At that time, the cars will have driven 310.0 meters.

_____

Non-graphical solution

If you like, you can solve the equation for t:

  d1 = d2

  1.16t^2 = 1.74(t -3)^2

  0 = 0.58t^2 -10.44t +15.66

  t = (10.44 +√(10.44^2 -4(0.58)(15.66)))/(2(0.58)) = (10.44+8.524)/1.16

  t = 16.348 . . . . time in seconds the cars are at the same distance

That distance is found using either equation for distance:

  1.16t^2 = 1.16(16.348^2) = 310.036 . . . meters

Answer:

C: as the size increases the amount decreases. this means as the x-value increases, the y-value decreases, which is shown by graph C.

Answer:

your answer is c )c and where are you live

it's a quadrilateral

interior angles add up to 360

x + 2x - 75 + x + x - 35 = 360

5x - 110 = 360

5x = 360 + 110

x = 470 ÷ 5

x = 95

and x - 35 = 60

2x - 75

= 190 -75

= 115

Answer:

see explanation

Step-by-step explanation:

The sum of the interior angles of a quadrilateral = 360°

Sum the given angles and equate to 360

x + x + x - 35 + 2x - 75 = 360, that is

5x - 110 = 360 ( add 110 to both sides )

5x = 470 ( divide both sides by 5 )

x = 94 , then

x - 35 = 94 - 35 = 59

2x - 75 = 2(94) - 75 = 188 - 75 = 113

Thus

The 4 angles are 59°, 94°, 94°, 113°

Answer:

See below.

Step-by-step explanation:

In all triangles, the three interior angles will add up to 180°. Therefore:

[tex](9x+6)+(5x)+(90)=180[/tex]

Remember that the little square means a right angle.

Now, solve for x.

[tex]9x+6+5x+90=180\\14x+96=180\\14x=84\\x=6[/tex]

Now, plug x back into the equations to find each angle:

1)

[tex]\angle ABC = \angle B = 9(6)+6=60\textdegree[/tex]

2)

[tex]\angle BCA = \angle C = 90\textdegree[/tex]

3)

[tex]\angle CAB = \angle A=5(6)=30[/tex]

Answer:

1. angle ABC = 60

2. angle BCA = 90

3. angle CAB = 30

Step-by-step explanation:

Since we know the right angle =90 degrees, we just need to do simple algebra. (We also know the all three angles added together equals 180.)

5x+9x+6+90=180.

Now let's simplify. We can simplify by adding like terms:

14x+96=180

Now we just need to do simple algebra. First we'd subtract the 96 from both sides:

14x+96=180

      -96  -96

14x = 84

Now we just need to divide 14 from both sides to separate the 14 from the x.

[tex]\frac{14x}{14}[/tex] = [tex]\frac{84}{14}[/tex]

x = 6

Now that we know what x equals, we just need to fill it into the equations which shouldn't be too hard. :)

Extra hint: to check your answer just add all three angles together and if you get 180 your answer is correct. :)

HOPE THIS HELPS!! <3 :D

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▹ Answer

Slope = 1

▹ Step-by-Step Explanation

y = mx + b

'm' represents the slope. since there is no number before the x, the coefficient will always be 1. therefore, the slope is 1.

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

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Answer:I think it’s 7x^3

Step-by-step explanation:

Answer: the graph farthest to the right is almost correct. If you substitute values for x in the function f(x)= -3√x , the output does not match the curve on the graphs shown.

If you have a choice that includes only a curve to the right of the y- axis, that would be better.

Step-by-step explanation: Square roots of Negative x-values will result in imaginary numbers. Otherwise the graph with the curve passing through coordinates (1,-3) (4,-6) and (9,-9) is a good choice.

(And ask your teacher about the square root of negative numbers on this graph.)