At the Rolling Ridge School spelling bee, 75% of the
contestants advanced to the second round and 60% advanced
to the third round. What is the probability that a randomly
selected contestant advanced to the third round given the same
contestant advanced to the second round?
A. 3/20
B. 9/20
c. 7/15
D. 4/5

Answer:

(A) - Hachi does not earn any money if he does not work

Step-by-step explanation:

If you think about it the graphed point is (0,0), so it is self explanatory that he works 0 hours and OBVIOUSLY he wont earn any money if he doesnt work.

The graph shows the amount of money Hachi earns at his job in relation to the number of hours he works. Hachi does not earn any money if he does not work.

A function is defined as a relation between the set of inputs having exactly one output each.

We can see that the graph linearly increases as the hour he worked and the money he earned will increase.

we know that the graphed point is (0,0),

He earned 10 money per hour of work.

so it is self-explanatory that he works 0 hours and obviously, he won't earn any money if he doesn't work.

Thus, Hachi does not earn any money if he does not work.

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I think they are complementary angles but i am not sure

Answer:

They form a linear pair.

Step-by-step explanation:

Because both are not 180 so that marks out the last checkbox and the second. Plus, they both don't add up to 90 so it checks off the first.

Answer:

10

Step-by-step explanation:

8 per hour. have a nice day

Answer:

Choice C

Step-by-step explanation:

(f+g)(x) is a composite function which is obtained by adding the two given functions f(x) and g(x)

(f+g)(x) = f(x) + g(x)

            = [tex]3^{x} +10x+4x-2[/tex]

            = [tex]3^{x} +14x-2[/tex]

Answer:5x/(x-1)(x+3)

Step-by-step explanation:Factor -3+2x+x^2 by using the AC method hope this helps. Branliest plz

The answer should be (B)

Answer:

B. [tex]x\approx 1.25[/tex].

Step-by-step explanation:

We have been given an equation [tex]2^x-4=-4^x+4[/tex]. We are asked to solve our given equation by graphing.

Upon graphing our given equation, we will get our required graph as shown in the attached image.

The solution for our given equation will be point, where graph intersects x-axis.

Upon looking at our given graph, we can see that it intersects x-axis at [tex]x\approx 1.25[/tex]. Therefore, option B is the correct choice.

She is 4 years an d3 months old

Answer:

111 months

Step-by-step explanation:

First, look at how many whole years old Emma is. Emma is 9 whole years old. 1 year consists of 12 months. So, multiply 9 [years] by 12 [months] to get 108. The number 108 is how many months are in 9 years. However, Emma is 9 months and 1/4 years old.

To find out how many months 1/4 of a year is, multiply 1/4 [year] by 12 [months] . 12 is the same as 12/1, so multiply the numerators and denominators of 1/4 and 12/1

1 x 12 = 12

4 x 1 = 4

12/4 = 3

Therefore, 1/4 year is 3 months. Now, add 108 months and 3 months to get 111 months. Therefore, Emma is 111 months old.

I hope this helps! :)

[tex]\text{Hey there!}[/tex]

[tex]\text{The answer is: (3g + 2)(g + 2)}[/tex]

[tex]\text{To make sure it comes back to the original problem}\bf{(3g^2+8g+4)}[/tex] [tex]\text{You would have to distribute the answer}[/tex]

[tex]\text{3g(g)=}3g^2\\ \text{3g(2)=6g}\\ \text{2(g)=2g}\\ \text{2(2)=4}[/tex]

[tex]\text{After distributing combine your like terms:}[/tex]

[tex]\text{In this particular answer we have: 1 term with TWO LIKE TERMS}[/tex]

[tex]\text{6g+2g=8g(That's how we got the 8g in the original equation)}[/tex]

[tex]\text{The}\bf{\ 3g^2}\text{ stays the same because there's nothing to go with it}[/tex]

[tex]\text{The 4 also stays the same because nothing goes with it as well}[/tex]

[tex]\boxed{\boxed{\text{Answer:(3x + 2 (x + 2)})}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

Fraction: 1/250

Decimal: 0.004

Step-by-step explanation:

2/5=0.4 0.4%=0.004 0.004=4/1000=2/500=1/250

Answer:

The center of the circle is (-3 , 5) and the length of the radius is 9 units

Step-by-step explanation:

* Lets revise the standard form of the equation of the circle

- The center-radius form of the circle equation is in the format

 (x – h)² + (y – k)² = r², where the center is the point (h, k) and

 the radius is r.

- This form of the equation is helpful, because you can easily find

  the center and the radius.

* Now lets solve the problem

- The equation is (x + 3)² + (y - 5)² = 81

- By comparing the two equations

∵  (x – h)² + (y – k)² = r² and  (x + 3)² + (y - 5)² = 81

# x - h = x + 3

∴ -h = 3 ⇒ divide both sides by -1

∴ h = -3

# y - k = y - 5

∴ k = 5

# h and k are the coordinates of the center of the circle

∴ The center of the circle is (-3 , 5)

# r² = 81 ⇒ take √ for both sides

∴ r = 9

∴ The length of the radius = 9 units

* The center of the circle is (-3 , 5) and the length of the radius is 9 units

The center of the circle is at (-3, 5), and the radius of the circle is 9, determined by the given equation (x + 3)^2 + (y – 5)^2 = 81.

The student is asking about the equation of a circle and how to determine the coordinates of the center and the length of the radius. The given equation is (x + 3)2 + (y – 5)2 = 81. The general form of a circle's equation is (x - h)2 + (y - k)2 = r2, where (h, k) is the center and r is the radius.

To find the center of the circle, we look at the values h and k in the equation, which are the opposites of the constants added to x and y, respectively. Therefore, the center is at (-3, 5). To find the radius of the circle, we take the square root of the number on the right side of the equation. The square root of 81 is 9, so the radius is 9.

Final answer:

After descending 7 feet, ascending 22 feet, and descending 9 feet, the individual is 6 feet above the ground level.

Explanation:

The question involves a sequence of movements by an individual on a ladder at a construction site. To solve this, let's track each movement relative to the initial position at ground level.

Therefore, the individual is 6 feet above the ground after these movements.

The correct answer is:

D. 4x2 + y2 − 1

[tex]|Huntrw6|[/tex]

Answer:  Option 'D' is correct.

Step-by-step explanation:

Since we have given that

x = ±6, y = 0

and x = 0 and y = ±12

And we need an equation which has above as an integer solutions.

So, it becomes,

Consider [tex]4x^2+y^2-144=0[/tex]

Put x = 0, we get

[tex]0+y^2=144\\\\y^2=144\\\\y=\sqrt{144}\\\\y=\pm 12[/tex]

Similarly,

Put y = 0,

[tex]4x^2+0=144\\\\4x^2=144\\\\x^2=\dfrac{144}{4}\\\\x^2=36\\\\\x=\pm 6[/tex]

Hence, Option 'D' is correct.

Answer:

isosceles

Step-by-step explanation:

Answer:

h = 47.70 ft

The antenna is 47.70 ft tall.

Step-by-step explanation:

The height of the antenna is approximately 47.4ft when calculated using the Pythagorean theorem: √((50ft)^2 - (15ft)^2).

The question is asking for the height of the antenna. We can solve this problem by using the Pythagorean theorem, which states that in a right triangle the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. Here, the hypotenuse is the length of the cable (50 ft), one side is the distance from the base of the antenna to the anchor point (15 ft) and the other side (which we are trying to find), is the height of the antenna.

According to the Pythagorean theorem, the height of the antenna can be calculated as follows: Height = √(Hypotenuse^2 - Base^2), which translates into Height = √((50ft)^2 - (15ft)^2). When you calculate that you get the height of the antenna as approximately 47.4 feet, rounded to the nearest tenth.

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Answer: (0.15,0.37)

Step-by-step explanation:

did the quiz

The range of possible values that best describes the estimate for the population parameter is [0.16, 0.38]. Therefore, the correct answer is option D.

Given that, a sample proportion is 0.26.

In statistics, the sample proportion is an estimate for the population parameter. When given a sample proportion, the range of possible values that best describes the estimate for the population parameter is typically the 95% confidence interval for the sample proportion. The 95% confidence interval states that if the same sampling procedure is repeated on many samples, then 95% of the confidence intervals constructed this way will contain the true population parameter.

The 95% confidence interval for a sample proportion is given by [p-1.96√(pq/n), p+ 1.96√(pq/n)], where p is the sample proportion, q is the complement of the sample proportion (q = 1 − p), and n is the sample size.

In this case, the sample proportion given is 0.26, and so p = 0.26, q = 0.74, and the sample size can be assumed to be large (n ≥ 30). Substituting these values into the 95% confidence interval equation yields the range of possible values that best describes the estimate for the population parameter: [0.16, 0.38].

Therefore, the correct answer is option D.

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"Your question is incomplete, probably the complete question/missing part is:"

If a sample proportion is 0.26 which of the following is most likely the range of possible values that best describes an estimate for the population parameter?

A. (0.14, 0.36)

B. (0.17, 0.39)

C. (0.15, 0.37)

D. (0.16, 0.38)

Answer:A i guess i am soooooooooo sorry if i am wrong

Step-by-step explanation:

Answer:

(B) [tex]SA=79.18m^2[/tex]

Step-by-step explanation:

It is given from the figure, the side of the regular hexagonal pyramid is 3 m, slant height is 6.2 m and height is 5.6 m.

The formula for Surface area of the regular hexagonal pyramid is:

[tex]SA=\frac{pl}{2}+B[/tex]

where B is the area of the base, p is the perimeter and l is the slant height.

Now, the perimeter can be found as:

[tex]P=6{\times}3[/tex]

[tex]P=18 m[/tex]

And, the area of the base is:

[tex]B=\frac{3\sqrt{3}s^2}{2}[/tex]

Substituting the value of s in the above formula, we get

[tex]B=\frac{3\sqrt{3}(3)^2}{2}[/tex]

[tex]B=23.382m^2[/tex]

Now, substituting the values of B, and P in the formula of Surface area, we get

[tex]SA=\frac{18{\times}6.2}{2}+23.382[/tex]

[tex]SA=79.18m^2[/tex]

Thus, the Surface area of the regular hexagonal pyramid is [tex]79.18m^2[/tex].

Hence,  option B is correct.

Answer:

660 ft³

Step-by-step explanation:

The volume (V) of a rectangular prism is calculated using the formula

V = lbh ( l is length, b is breadth and h is height )

The dimensions must be in the same units, thus we need to change length into feet.

l = 4 × 3 = 12 ft ( 1 yard = 3 feet )

b = 5 ft and h = 11 ft

V = 12 × 5 × 11 = 660 ft³

Final answer:

Convert the length from yards to feet, then calculate the volume by multiplying length, width, and height to get 660 cubic feet.

Explanation:

To find the volume of a rectangular prism, you multiply the length, width, and height together. However, notice that in the problem the lengths are not all in the same units; the length is given in yards and the width and height in feet. First, we need to convert yards to feet so that all dimensions are in the same units, using the conversion factor that 1 yard is equal to 3 feet.

After converting, the length will be:

4 yd = 4 x 3 ft = 12 ft

Then you can calculate the volume:

Volume = length x width x height

= 12 ft x 5 ft x 11 ft

= 660 cubic feet

.

Answer:

square root 4

Step-by-step explanation:

The answer is D) 210 because arc eog is 150 and is the minor arc. A whole circle is 360 therefore 360-150=210

The measure of the major arc is found by calculating the circumference of the entire circle 2πr and then using the proportion that the angle of the major arc represents out of 360 degrees.

The measure of the major arc in a circle depends on the angle subtended by the arc at the center of the circle. If we define the angle Θ (theta) in degrees, that subtend the arc, the length of the major arc can be found by using the circumference of the entire circle, which is 2πr (where r is the radius), and the proportion of the circle that the major arc represents. Since the entire circle is 360 degrees, if the major arc corresponds to an angle Α, which is the complement of Θ (since Α + Θ = 360 degrees for the minor and major arcs together), the major arc length will be 2πr (Α/360). To summarize, if you're given the central angle of the minor arc or can otherwise determine the central angle for the major arc, you can use this proportion to calculate the arc length.

Answer:

5[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value of

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex], then

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex]

Multiply both sides by 10

10 × sin60° = x

10 ×[tex]\frac{\sqrt{3} }{2}[/tex], hence

x = 5[tex]\sqrt{3}[/tex]

£15.00 - £14.76 = £0.24

I hope I help you..

The mother buys 3 T-shirts and a pair of shorts. The possible coins she could receive as change are £1, 50p, 20p, 2p, and 1p.

The cost of 3 T-shirts can be calculated as:

3 T-shirts= 3 x £3.25 = £9.75

The cost of a pair of shorts is £4.99

Therefore, the total cost of 3 T-shirts and a pair of shorts is £9.75 + £4.99 = £14.74

If the mother pays with a £10 note and a £5 note, she could receive coins like £1, 50p, 20p, 2p, and 1p as change.

Answer:

D

the answer is D

Answer:

What is the probability of getting a vowel (a success) for the spinner shown?

✔ 1/3

Suppose you spin the spinner 5 times.

✔ P(3 successes) means “the probability of getting a vowel on exactly 3 of the spins.”

Step-by-step explanation:

edg 2020

Using the binomial distribution, it is found that:

For each spin, there are only two possible outcomes, either it is a vowel, or it is not. The result of a spin is independent of any other spin, hence the binomial distribution is used to solve this question.

The formula is:

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

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

The parameters are:

In this problem:

The probability of 3 successes is given by:

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

[tex]P(X = 3) = C_{5,3}.(0.3333)^{3}.(0.6667)^{2} = 0.1646[/tex]

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First of all, we know that Emily travels 3/4 of a mile in 4 minutes and 30 seconds (i.e. 9/2 of a minute). So, her current velocity is

[tex]v = \dfrac{\frac{3}{4}}{\frac{9}{2}} =\dfrac{3}{4}\cdot\dfrac{2}{9} = \dfrac{1}{6}[/tex] of a mile per minute.

At this speed, it takes

[tex]t = \dfrac{s}{v} = \dfrac{3.42}{\frac{1}{6}} = 3.42\cdot 6 = 20.52[/tex]

minutes to travel 3.42 miles.

Since she left at 8.25, she will arrive at about 8.46, so she's on time for school.

Answer is...

23.55

See attached photo

Answer:

The ninth term is -0.75.

Step-by-step explanation:

Let's write the actual formula for this arith. seq.

It will have the general form a(n) = a(1) + (n-1)d, where a(1) is the first term, n is the term counter (1, 2, 3, .... ) and d is the common difference.

Here, a(n) = -2.75 + (n - 1)(0.25)

So the ninth term of this sequence is

a(9) = -2.75 + (9 - 1)(0.25

      = -2.75 + 8(0.25)

      = -2.75 + 2

       = -0.75

The ninth term is -0.75.

Answer:

[tex]a_9=-0.75[/tex]

Step-by-step explanation:

The given sequence has the first term, [tex]a_1=-2.75[/tex] and d=0.25

The general formula for an arithmetic sequence is given by;

[tex]a_n=a_1+d(n-1)[/tex]

Since we want to find [tex]a_9[/tex], it means n=9

We substitute the given values into the formula to obtain;

[tex]a_9=-2.75+0.25(9-1)[/tex]

[tex]a_9=-2.75+0.25(8)=-0.75[/tex]

Hence, the 9th term is

[tex]a_9=-0.75[/tex]

The right answer is

D. 6.93 X 10^7

Answer:

the answer is 11/21 or 0.523809524

hope this helped

Step-by-step explanation:

Answer:

the required equation is:

[tex]x^2 -10 +34[/tex]

Step-by-step explanation:

The equation given is:

[tex]x^2 -()+34[/tex]

Comparing it with standard quadratic equation

[tex]a^2 +bx+c[/tex]

a= 1,

b=?

C= 34

We can find the value of b using Vieta's formulas :

That states that if roots x₁ and x₂ are given then,

x₁ + x₂ = -b/a

We are given roots: 5 ± 3i i.e, x₁= 5 + 3i and x₂= 5 - 3i

solving

5 + 3i + 5 - 3i = -b/1

10 = -b

Since the given equation already gives b as -b so, -b= 10 => b=10

Putting value of b in the missing place the required equation will be:

[tex]x^2 -10 +34[/tex]

To find the missing term in a quadratic equation given complex roots, use the properties of conjugate roots to determine the term.

Since the roots are in the form of a complex number, they are conjugates of each other, which helps in finding the missing term.

Given roots: 5 ± 3i

Using the sum and product of roots formula

Sum: (5 + 3i) + (5 - 3i) = 10. Product: (5 + 3i)*(5 - 3i) = 34

Construct the equation: x2 - (10x) + 34 = 0