Solve for x in the diagram below

Graph 3

Because

The graph is like the first graph

When x approaches+oo y approaches+oo

But when x is negative the reverse thing happens

Hence Graph C is correct

Answer:

Graph 3

Step-by-step explanation:

Given function:

\(f(x)=\sqrt[3]{-x}\)

Therefore, the parent function is:

\(f(x)=\sqrt[3]{x}\)

(The graph of the parent function is the first graph in the answer options).

The transformation that takes the parent function to the given function is:

\(y=f(-x) \implies f(x) \: \textsf{reflected in the} \: y \textsf{-axis}\)

Therefore, the graph of the given function is the third graph in the given answer options (see attached).

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

8a+8+5a−6

=8a+8+5a+−6

=8a+8+5a+−6

=(8a+5a)+(8+−6)

=13a+2

=> (8a + 8) + (5a – 6)

=> (8a + 5a) + (8 – 6) [Combine like terms]

=> (13a + 2)

it's a right angled triangle so we will use hypotenuse formula to get the value of x

hypotenuse formula = a² + b² = c²

a = side of the triangle

b = base of traingle

c = hypotenuse ( can be written as h too)

and the formula can also be written as.

c² = a² + b²

therefore, x = 12.1

hope this answer helps you dear...take care!

After 300 trials, the experimental probabilities may not align perfectly with the theoretical probabilities. However, with more trials, the experimental probabilities tend to converge towards the theoretical probabilities for closer alignment.

To examine whether experimental probabilities after 300 trials align closely with theoretical probabilities, let's consider an example of flipping a fair coin.

Theoretical probability: When flipping a fair coin, the theoretical probability of obtaining heads or tails is 0.5 each. This assumes that the coin is unbiased and has an equal chance of landing on either side.

Experimental probability: After conducting 300 trials of flipping the coin, we record the outcomes and calculate the experimental probabilities. Let's assume that heads occurred 160 times and tails occurred 140 times.

Experimental probability of heads: 160/300 = 0.5333

Experimental probability of tails: 140/300 = 0.4667

Comparing the experimental probabilities to the theoretical probabilities, we can observe that the experimental probability of heads is slightly higher than the theoretical probability, while the experimental probability of tails is slightly lower.

In this particular example, the experimental probabilities after 300 trials do not align perfectly with the theoretical probabilities. However, it is important to note that these differences can be attributed to sampling variability, as the experimental outcomes are subject to random fluctuations.

To draw a more definitive conclusion about the alignment between experimental and theoretical probabilities, a larger number of trials would need to be conducted. As the number of trials increases, the experimental probabilities tend to converge towards the theoretical probabilities, providing a closer alignment between the two.

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The question probable may be:

Do experimental probabilities after 300 trials tend to align closely with theoretical probabilities? Consider an example scenario and calculate both the theoretical and experimental probabilities to determine if they are close.

Answer:

a) The mean is \(\mu = 60\)

b) The standard deviation is \(\sigma = 9\)

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The probability a student selected at random takes at least 55.50 minutes to complete the examination equals 0.6915.

This means that when X = 55.5, Z has a pvalue of 1 - 0.6915 = 0.3085. This means that when \(X = 55.5, Z = -0.5\)

So

\(Z = \frac{X - \mu}{\sigma}\)

\(-0.5 = \frac{55.5 - \mu}{\sigma}\)

\(-0.5\sigma = 55.5 - \mu\)

\(\mu = 55.5 + 0.5\sigma\)

The probability a student selected at random takes no more than 71.52 minutes to complete the examination equals 0.8997.

This means that when X = 71.52, Z has a pvalue of 0.8997. This means that when \(X = 71.52, Z = 1.28\)

So

\(Z = \frac{X - \mu}{\sigma}\)

\(1.28 = \frac{71.52 - \mu}{\sigma}\)

\(1.28\sigma = 71.52 - \mu\)

\(\mu = 71.52 - 1.28\sigma\)

Since we also have that \(\mu = 55.5 + 0.5\sigma\)

\(55.5 + 0.5\sigma = 71.52 - 1.28\sigma\)

\(1.78\sigma = 71.52 - 55.5\)

\(\sigma = \frac{(71.52 - 55.5)}{1.78}\)

\(\sigma = 9\)

\(\mu = 55.5 + 0.5\sigma = 55.5 + 0.5*9 = 55.5 + 4.5 = 60\)

Question

The mean is \(\mu = 60\)

The standard deviation is \(\sigma = 9\)

The area that will be painted grey is approximately 38 ft².

The circumference of the free-throw circle is given as 30.77 feet, and we know that the free-throw circle is a perfect circle. We can use the formula for circumference to find the radius of the circle, which will be necessary to calculate its area.

Circumference of a circle = 2πr

30.77 = 2 x 3.14 x r

r = 30.77 / (2 x  3.14) = 4.9 feet

Half of the circle will be painted grey. Find the area of half the circle using the formula for the area of a circle.

Area of a circle = π x r²

Area of half the circle = 0.5 x  π x r²

Area of half the circle = 0.5 x 3.14 x 4.9²

Area of half the circle = 37.73 ft²

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Answer:

That is a 25% change.

Step-by-step explanation:

There is a Weak positive association between the amount of goals scored and the number of wins a hockey team has. Most of the data points fall between 4 goals scored and 5  number of wins. Causation cannot be established because their relationship was not in a controlled setting.

When if a relationship between two variables is said to be  negative, it is one that does not just necessarily mean that the association is weak. Although though both variables tend to increase in reaction to one another, a weak positive correlation depicts that the relationship is not very strong.

Therefore, even though  the data tells us that there is a weak positive relationship that exist between the two variables, it is vital to know that that correlation does not equal causation.

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6/18 = x/23

Cross multiply and solve for x.

18x = 138

x = 138/18

x = __23/3______ inches

Answer:

23/3

Step-by-step explanation:

Answer:

  27π/2

Step-by-step explanation:

The differential of volume is the product of a differential of area and the circumference of the revolution of that area about the given axis. The limits of integration in the x-direction are where y=28 crosses the curve, at x=4 and x=7.

   \(dV=2\pi(x-4)(y-28)\,dx\\\\dV=2\pi(x-4)(-x^2+11x-28)\,dx=2\pi(-x^3+15x^2-72x+112)\,dx\\\\\displaystyle V=\int_4^7{dV}=2\pi\int_4^7{(-x^3+15x^2-72x+112)}\,dx\\\\=2\pi\left(\dfrac{4^4-7^4}{4}+15\dfrac{7^3-4^3}{3}-72\dfrac{7^2-4^2}{2}+112(7-4)\right)=2\pi\dfrac{27}{4}\\\\\boxed{V=\dfrac{27\pi}{2}}\)

_____

Check

The parabola's vertex is (5.5, 30.25), so its area above the line y=28 is ...

  A = (2/3)(7 -4)(30.25 -28) = 4.5 . . . square units

The centroid of that area lies on the line x=5.5, a distance of 1.5 from the axis of rotation. So, the volume of revolution is ...

  V = 2π(1.5)(4.5) = 27π/2 . . . matches the above

Substitute \(u=x^2+4\) and \(du=2x\,dx\). Then the integral transforms to

\(\displaystyle \int \frac{x\,dx}{(x^2+4)^3} = \frac12 \int \frac{du}{u^3}\)

Apply the power rule.

\(\displaystyle \int \frac{du}{u^3} = -\dfrac1{2u^2} + C\)

Now put the result back in terms of \(x\).

\(\displaystyle \int \frac{x\,dx}{(x^2+4)^3} = \frac12 \left(-\dfrac1{2u^2} + C\right) = -\dfrac1{4u^2} + C = \boxed{-\dfrac1{4(x^2+4)^2} + C}\)

Answer:

The coral reef grows 266 cm in 14 weeks.

Step-by-step explanation:

Lets convert 0.19 meters to centimeters.

1m= 100cm

0.19m×100= 19 cm

It grows 19 cm every week, so:

\(\frac{1w}{19 cm} *14 =\frac{14w}{x= 266 cm}\)

So, the coral reef grows 266 cm in 14 weeks.

Hope this helps!

Answer:

if it is 3.22% then the answer is 0.0322

3.22 ÷ 100 = 0.0322

hope this answer will help you

have a great time

Answer:

0.0322

Step-by-step explanation:

Answer:

150x=y

Step-by-step explanation:

2x150=300

4x150=600

6x150=900

8x150=1200

Answer:

a. 1 sig. fig. _800,000,000,000,000 picoseconds (8 x 10^14 picoseconds)

b. 2 sig. figs. 830,000,000,000,000 picoseconds (8.3 x 10^14 picoseconds)  

c. 3 sig. figs. 827,000,000,000,000 picoseconds (8.27 x 10^14 picoseconds)

d. 4 sig. figs. 827,000,000,000,000 picoseconds  (8.270 x 10^14 picoseconds)

e. 5 sig. figs. 827,000,000,000,000 picoseconds  (8.2700 x 10^14 picoseconds)

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

h = 8

Surface area = 66π

2πr(r +h) = 66π

2πr(r + 8) = 66π

\(r(r + 8) =\dfrac{66\pi }{2\pi }\)

r² + 8r = 33

r² + 8r - 33 = 0

r² + 11r - 3r - 33 = 0

r(r + 11) - 3(r + 11) = 0

(r +11 ) (r - 3) = 0

r - 3 = 0             {Ignore r = -11 as radius will not have negative value}

r = 3

Diameter = 3*2 = 6 units

Given:

The distance to the fishing spot, S=5 miles.

The time taken to reach the fishing spot travelling against the current, t=5/12 h.

The time taken to reach the fishing spot travelling with the current , T=1/4 h.

Now, the speed of the boat when it is travelling in the direction of the current or the downstream speed is,

The speed of the boat when it is travelling in the against the direction of the current or the upstream speed is,

Let b be the speed of the boat in still water and w be the speed of the current.

Hence, the speed of the boat in still water can be calculated as,

The speed of the current can be calculated as,

Therefore, the speed of the boat in still water is 16 mph .

The speed of the current is 4 miles mph.

Answer:

N = 20

Step-by-step explanation:

5/3 = 1 2/3

20/12 = 1 8/20

They are equivalent

Answer:

1.835

Step-by-step explanation:

use pythagoras theorem to find missing side

use sin to find missing angle

missing side/13 = 1.835

Answer:

a. For the function:

f(x) = { sin x/3, if x ≤ π

{ x√3/2π, if x > π

I. To find lim f(x) as x approaches π from the negative side, we need to evaluate f(x) for values of x that are slightly less than π. In this case, since sin(x/3) is a continuous function, we can simply evaluate it at x = π:

lim f(x) as x approaches π- = f(π-) = sin(π/3) = √3/2

II. To find lim f(x) as x approaches π from the positive side, we need to evaluate f(x) for values of x that are slightly greater than π. In this case, we can simply evaluate the other part of the piecewise function at x = π:

lim f(x) as x approaches π+ = f(π+) = π√3/2π = √3/2

III. To find lim f(x) as x approaches π, we need to check whether the left-hand and right-hand limits are equal. In this case, since both the left- and right-hand limits exist and are equal, we have:

lim f(x) as x approaches π = √3/2

b. For the function:

f(x) = (x^2 - 36)/√(x^2 - 12x + 36)

I. To find lim f(x) as x approaches 6 from the negative side, we need to evaluate f(x) for values of x that are slightly less than 6. In this case, we can substitute x = 6 - h, where h is a positive number approaching zero, to get:

lim f(x) as x approaches 6- = lim f(6 - h) as h approaches 0

Substituting x = 6 - h into the function, we get:

f(6 - h) = [(6 - h)^2 - 36]/√[(6 - h)^2 - 12(6 - h) + 36]

= [h^2 - 12h]/√[h^2]

Simplifying the numerator and denominator separately, we get:

f(6 - h) = h(h - 12)/|h|

Since h approaches 0 from the positive side, we have:

lim f(6 - h) as h approaches 0+ = lim h(h - 12)/h as h approaches 0+ = lim (h - 12) as h approaches 0+ = -12

II. To find lim f(x) as x approaches 6 from the positive side, we need to evaluate f(x) for values of x that are slightly greater than 6. In this case, we can substitute x = 6 + h, where h is a positive number approaching zero, to get:

lim f(x) as x approaches 6+ = lim f(6 + h) as h approaches 0

Substituting x = 6 + h into the function, we get:

f(6 + h) = [(6 + h)^2 - 36]/√[(6 + h)^2 - 12(6 + h) + 36]

= [h^2 + 12h]/√[h^2]

Simplifying the numerator and denominator separately, we get:

f(6 + h) = h(h + 12)/|h|

Since h approaches 0 from the positive side, we have:

lim f(6 + h) as h approaches 0+ = lim h(h +

Step-by-step explanation:

Answer:

0.7738 = 77.38% probability that an incorrect message is received.

Step-by-step explanation:

For each bit, there are only two possible outcomes. Either it is corrupted, or it is not. The probability of a bit being corrupted is independent of any other bit. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

5% probability a bit is sent incorrectly:

This means that \(p = 0.05\)

Message of length 5

This means that \(n = 5\)

What is the probability that an incorrect message is received?

This is the probability of at least one incorrect bit, which is:

\(P(X \geq 1) = 1 - P(X = 0)\)

In which

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{5,0}.(0.05)^{0}.(0.95)^{5} = 0.7738\)

0.7738 = 77.38% probability that an incorrect message is received.

Answer:

16 + (–7) + 22 + (–12)

Hope this helped!!!

Answer:

D: its 18

Step-by-step explanation:

I yeeted it into a calculator

The expected value of the random variable D is 6.. This gives us the following equation :E[D] = 0(1/6) + 1(1/6) + 2(1/6) + 3(1/6) + 4(1/6) + 5(1/6)

The expected value of the random variable D, E[D], can be calculated using the following formula :E[D] = ΣD P(D) Where ΣD is the sum of all possible values of D and P(D) is the probability of each of those values. In this case, the possible values of D are 0, 1, 2, 3, 4, 5. The probability of each of these values is the same, since each has an equal chance of being rolled on the dice. To calculate the expected value, we must multiply each value of D with its probability, and then sum all of these products. This gives us the following equation:E[D] = 0(1/6) + 1(1/6) + 2(1/6) + 3(1/6) + 4(1/6) + 5(1/6) .E[D] = 36/6 = 6.Therefore, the expected value of the random variable D is 6.

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Answer:

$(39.24x)

Step-by-step explanation:

We need to find out their difference for one mile before calculating their difference for x miles.

Difference per mile = ($70.50 + $0.14) - ($30.50 + $0.90)

                                = $70.64 - $31.40

                                = $39.24

Difference for x miles = $39.24 × x miles

                                    = $(39.24x)

Answer:

the answer is: 1/21 !!

ANSWER

1/5 ÷ 21/5

= 1/5 × 5/21

= 1/21

= 0/1/21

Therefore my answer is 0 whole number 1/21

Answer:

step 1= 12.25*60=735minutes

step 2=686/735=0.933333kilometer.

step 3=0.9333333*60=56kilometers.