Suppose that y varies inversely with x where x=4 and y=5. Solve for the constant
k and find the value of y when x=11

Answer:

-7.35

Step-by-step explanation:

7/x = cos(60)

x = 7(cos(60))

x = 7/(-0.95)

x = -7.35

Answer:

38.0

Step-by-step explanation:

'Mean' is just the average of the 10 scores ....

  add them all together and divide by 10

   380 / 10 = 38

Answer:

B) 10

Step-by-step explanation:

The range of a data set is found by subtracting the smallest term given in the set from the largest term given in the set. First, set the terms in order from least to greatest:

5 , 7 , 10 , 11 , 12 , 13 , 15 , 15, 15 ,

Subtract the greatest (15) with the least (5): 15 - 5 = 10

B) 10 is your answer.

~

Answer:

The answer is b) 10

Step-by-step explanation:

i took the test

Answer:

Step-by-step explanation:

1. Henry - 800. Chris - 600. 800 + 600 = 1,400 coins · 2. henry - 600. Chris - 400. 600 - 400 = 200 coins · 3. because henry has 800 chris

(a)The domain of the function is, [tex]\rm x \geq -c^2 \ x\neq0[/tex]

(b)The given function is discontinuous at x=0.

Domain is the set of values for which the given function is defined. Range is the set of all values which the given function can output.

The standard function is;

[tex]\rm f(x)= \frac{\sqrt{x+c^2-c} }{x} , c > 0[/tex]

The domain of the given function is found as;

[tex]\rm x+c^2 \geq 0 \ x\neq 0 \\\\ x\geq-c^2 \ x\neq 0[/tex]

The domain of the function is,

[tex]\rm x \geq -c^2 \ x\neq0[/tex]

To find the function is continuous or not, we have to find the continuity;

[tex]\rm f(x) = \frac{\sqrt{ x+c^2-c}}{x} ,c > 0[/tex]

At x= 0 the function is undefined. So that the function is discontinuous at x=0.

Hence, The domain of the function is, [tex]\rm x \geq -c^2 \ x\neq0[/tex] and the function is discontinuous at x=0.

To learn more about domain, refer to the link:

https://brainly.com/question/20073127

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Answer:

AB = 41 cm

Step-by-step explanation:

If B is the midpoint of AC, then B splits AC into 2 equal halves: AB & BC.

Therefore, AB = ½ of AC.

Given, AC = 82 cm.

So,

AB = ½ × AC

AB = 82/2

AB = 41 cm

_____

Hope it helps ⚜

Answer:

the H stands for hours. the E stands for money. because it says 10h that means she gets $10 per hour. that answers the first question. I don't understand the second part though. hope you get it!

Answer:

1/2

Step-by-step explanation:

9/10 - 4/10 =  (9-4) / 10 = 5/10 = 1/2

Answer:

9/10 - 4/10 = 5/10 (0.5) zero and a half.

Step-by-step explanation:

The denominators are the same so you only need to subract 4 from nine, you could even simplify it after by dividing the top of the fraction and the bottom by the same number. goodluck btw

Answer:

  (b)  The area of the square pizza is larger

Step-by-step explanation:

The areas can be computed using the appropriate formulas, then compared.

__

  A = πr² . . . . . r = half the diameter

  A = π(5 in)² = 25π in² ≈ 78.5 in²

  A = s² . . . . . s is the side length

  A = (9 in)² = 81 in²

The area of the square pizza (81 in²) is larger than that of the circular pizza (78.5 in²).

Answer:

Using the binomial distribution, it is found that

P(X > 3) = 0.0256

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, with p probability.

[tex]P(X = x) = C_{n, x} * p^{x} (1 - p)^{n- x }[/tex]

[tex]C_{n, x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n, x} = \frac{n!}{p!(n - x)!}[/tex]

P(X > 3) = P(X = 4)                         since it above next whole number above 3

In which

[tex]P(X = x) = C_{n, x} * p^{x} (1 - p)^{n- x }[/tex]

[tex]P(X = 4) = C_{4, 4} * (0.4)^{4} (1 - 0.4)^{4 - 4}\\C_{4, 4} = \frac{4!}{4!(4 - 4)!}\\\\P(X = 4) = \frac{4!}{4!(0)!} * (0.4)^{4} (0.6)^{0}\\[/tex]

Then

P(X > 3) = P(X = 4)

P(X > 3) = 0.0256

--------------

Given, n = 4, p = 0.4

press 2nd - DISTR

scroll down to A: binompdf( - press enter

type in # of trials (n), P: (probability), and x value (successes)

press enter on Paste

press enter again

BINOMDIST(num_successes, num_trials, prob_success, cumulative)

=BINOMDIST(4, 4, 0.4, FALSE

A similar problem is given at brainly.com/question/15557838

I have also attached notes on The Binomial Distribution below

Let me know if you have any questions !

Hope this helps :)

The experimental probability is the number of cars with no defect/ total cars inspected: 988/100 = 0.988

multiply total cars by experimental probability

2500 x 0.988 = 2470

Answer:

98.8%; 2470 cars

Step-by-step explanation:

5000

Measurements can be given in multiple units. Unit conversion is important, especially when dealing with formulas because sometimes only specific units work.

Metric System

In this case, the question is asking about kilometers (km) and meters (m), both of which are in the metric system. Unit conversions are easier in the metric system because it uses prefixes that give you extra information. Each of the prefixes means a different number.

These are not all of the possible prefixes, but they are the most common. This means that a decameter represents 10 meters and 1 millimeter is 1/1000 of a meter.

Conversion

Using the prefixes above, we can tell that 1 kilometer is 1000 meters. So, we can multiply whatever amount of kilometers we have by 1000. This will gives the number of meters.

Thus, 5 km = 5000 m.

Answer:

x = 2√5

Step-by-step explanation:

Isosceles right angle triangles have two congruent sides ( for more reference , kindly check the attached image ) making it a special 45-45-90 degree triangle.

Special triangles have simple easy rules to help identify the lengths of the other sides lengths. For the 45-45-90 degree triangle, the hypotenuse (longest side) is equal to the value of the triangles leg(shorter sides) times √2 ( for more reference kindly check the other attached image )

Here, the value of the leg it equal to √10

If the value of the hypotenuse (x) = leg × √2

Then the value of x = √10 × √2

x = √10 × √2 = √(10 × 2) = √20

==> simplify radical

x = 2√5

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

[tex]\large \sf \underline{Problem:}[/tex]

The person is lifting a heavy box using a lever what is the purpose of the lever in the situation?

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

[tex]\large \sf \underline{Answer:}[/tex]

to reduce the force needed to lift the box and change the direction of the force.

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

[tex]\large \sf \underline{Explanation:}[/tex]

1. "A lever consists of a rigid bar that is able to pivot at one point. This point of rotation is known as the fulcrum. A force is applied at some point away from the fulcrum (typically called the effort)."

By this definition, we know that force is needed to lift an object using a lever.

2. "When the input and output forces are on opposite sides of the fulcrum, the lever changes the direction of the applied force. This occurs only with first-class levers. When both the input and output forces are on the same side of the fulcrum, the direction of the applied force does not change"

For example, on a sew saw, if a force is applied on one end, you on the other side/end would go up, meaning a change in direction.

3. Lastly, we know a lever is typically used to reduce work, in other words, the force needed to move something.

Basically, if we were to put a lever into an equation:

reduced force + change in direction = lever

(the expection) unless load and force are on the same side, there will be no change in direction.

For example, if you and your friend sit on the same side of a sew saw, the sew saw would not go up or down, meaning no change in direction.

So if not stated otherwise you can assume the load and force are on opposite sides. The purpose of a lever in that situation would be to reduce the force needed to lift the box and change the direction of the force.

*While reading my explanation, it may be helpful to look up a diagram containing a lever, with a load, fulcrum, and applied force.

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

[tex]╰┈➤\: \huge\color{pink}{\bold{Answer}}[/tex]

[tex] \: \: [/tex]

[tex]╰┈➤\: \huge\color{pink}{\bold{Explanation}}[/tex]

[tex]\color{pink}──────────────────────────────[/tex]

[tex]\mathfrak \red{ - \: Cherrrry \: Red}[/tex]

answers from left

1. 1

2. 1/2

3. 2

4. 1

Answer:

 4x² + 20x + 16 = 0

Step-by-step explanation:

       (leading coefficient) * [x² - (sum of roots)*x + product of roots] = 0

4* [x² - ( -1 -4)x + (-1)*(-4) ] = 0

          4*[ x² - (-5)x + 4]     = 0

               4 * [x² + 5x + 4] = 0

            4*x² + 4*5x + 4*4 = 0

               4x² + 20x +  16  = 0

Answer:

x = 67°

Step-by-step explanation:

The sum of the exterior angles of a convex pentagon is 360°.

Hence, by adding the given angle measures, we can find x.

⇒ x + 77 + 72 + 64 + 80 = 360

⇒ x + 149 + 144 = 360

⇒ x + 293 = 360

⇒ x = 67°

Answer:

Step-by-step explanation:

We know that exterior angles of any polygon sum to 360°.

Use the given angle measures to find the sum

Solve it for x

Answer:

A

Step-by-step explanation:

because for combinatioj order are no imoortant

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]y = \stackrel{\stackrel{m}{\downarrow }}{-\cfrac{3}{4}}x+6 ~~ \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

therefore then

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-3}{4}} ~\hfill \stackrel{reciprocal}{\cfrac{4}{-3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{4}{-3}\implies \cfrac{4}{3}}}[/tex]

so we're really looking for the equation of a line whose slope is 4/3 and passes through (3 , 9)

[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{9})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{4}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9}=\stackrel{m}{\cfrac{4}{3}}(x-\stackrel{x_1}{3}) \\\\\\ y-9=\cfrac{4}{3}x-4\implies y=\cfrac{4}{3}x+5[/tex]

Answer:

  none

Step-by-step explanation:

The only number in the range 1 to 100 that is divisible by 77 is 77. It is not divisible by 10.

No numbers in the range 1 to 100 are divisible by both 10 and 77.

Answer:

B: Brazil

Step-by-step explanation:

The Chernobyl impacted Belarus, Russia, and Ukraine as well as many other European countries. And Brazil isnt a European country.

( I hoped this helped)

Answer:

Just multiply 5000 * 0.08, which equals 400.

400 + 5000 = 5400

The borrower will repay $5400 at the end of nine months.

Step-by-step explanation:

well, it's a vertical line, so, Check the picture below.

Answer: [tex]4\sqrt{7}[/tex]

Step-by-step explanation:

If [tex]AC=16, DC=7[/tex], then this means [tex]AD=9[/tex].

So, by the geometric mean theorem, [tex]DB=\sqrt{(9)(7)}=\sqrt{63}[/tex].

This means that by the Pythagorean theorem, [tex]BC=\sqrt{\left(\sqrt{63} \right)^{2}+7^{2}}=\boxed{4\sqrt{7}}[/tex]

Using the Central Limit Theorem, it is found that the statement that is likely to be true about the second study is given by:

D. The margin of error for the second study will likely be less than 10 pounds per square inch.

It states that the sampling distribution of sample means of size n has standard error [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

That is, higher sample sizes leads to lower amounts of error, and since the second study has a higher sample size, it should have lower error, hence option D is correct.

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213

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Answer:

96 square inches

Step-by-step explanation:

The scale is 2 inches : 3 feet

Thus for 18 feet in Serika's real house, the model is 18 * (2"/3') = 12 inches

For 12 feet in Serika's real house, the model is 12 * (2"/3') = 8 inches

Area of carpeting needed in Serika's dollhouse = 12" * 8" = 96 square inches