Watch the video attached below. Write a 2-3 sentence reflection sharing what you learned from the video.

We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour.

Sample Mean: = (29 + 27 + 34 + 40 + 22 + 28 + 14 + 35 + 26 + 35 + 12 + 30 + 23 + 18 + 11 + 22 + 23 + 33) / 18

= 480 / 18

≈ 26.667

Sample Standard Deviation (s):

= ✓((Σ(29 - 26.667)² + (27 - 26.667)² + ... + (33 - 26.667)²) / (18 - 1))

≈ ✓(319.778 / 17)

≈ ✓(18.81)

≈ 4.336

Confidence level = 99%

Sample Size (n) = 18

Sample Mean = 26.667

Sample Standard Deviation (s) = 4.336

Degrees of Freedom (df) = n - 1 = 18 - 1 = 17

Using a t-table or statistical software, we find that the critical value for a 99% confidence level with 17 degrees of freedom is approximately 2.898.

Margin of Error (E) = 2.898 * (4.336 / ✓18))

≈ 3.748

Confidence Interval = (26.667 - 3.748, 26.667 + 3.748)

= (22.919, 30.415)

We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour. This means that if we were to repeat the study multiple times and construct confidence intervals, approximately 99% of those intervals would contain the true mean healing rate of the population.

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The required expanse for each semester is $1000.

The academic year is divided into 15 to 17 week terms by a semester. The academic year typically consists of two semesters: Autumn, which begins in August or September, and Spring, which begins in January.

Toby will need $2,000 to cover the costs of attending college for one year. To find the costs for each semester,

Toby must divide $2,000 by 2 because he intends to enroll for two semesters per year. He can set up the division as $2,000/ 2 or $1000.

Thus, required expanse for each semester is $1000.

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With the help of proportions in the given similar triangles we know that the value of x is 3.5 units.

Euclidean geometry states that two objects are comparable if they have the same shape or the same shape as each other's mirror image.

One can be created from the other more precisely by evenly scaling, possibly with the inclusion of further translation, rotation, and reflection.

These three theorems—Angle-Angle (AA), Side-Angle-Side (SAS), and Side-Side-Side (SSS)—are reliable techniques for figuring out how similar triangles are to one another.

So, in the given situation:

TR and WY are as follows:
TR/WU

24/2

2/1

Similarly,

TS/WV

2/1

7/x

7/3.5

Therefore, with the help of proportions in the given similar triangles we know that the value of x is 3.5 units.

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107 over 103 times 101 over 100 would result in 10807/10300.

In order to multiply the fractions 107/103 and 101/100, we can simply multiply their numerators together and their denominators together:

(107/103) x (101/100) = (107 x 101) / (103 x 100)

Now we can simplify this fraction by finding the greatest common factor of the numerator and denominator and dividing both by it:

(107 x 101) / (103 x 100) = 10807 / 10300

Therefore, 107/103 times 101/100 simplifies to 10807/10300.

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Answer:

\(with \: in \: one \: hour \: \: minute \: \\ and \: hou \: and \: are \: two \: ties \: perpendicular \: \\ between \: 1p \: and10pm \: there \: are \: 9 \: hours \: \\ so \: it \: must \: be \: 9 \times 2 = 18 \\ in \: mathamaticlly \: but \: logiclly \: \\ ii \: think \: 16times \\ they \: r \: 1.20 \: 1.55 \: 2.25 \: 3 .00\: 3.30 \: 4.05 \: \\ 4.40 \: 5.10 \: 5.45 \: 6.15 \: 6.50 \: 7.20 \: \\ 7.55 \: 8.25 \: 9.00 \: 9.30 \\ thank \: you\)

Answer:

16

Step-by-step explanation:

see answer above

The relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:

3/20.

A relative frequency is calculated as the division of the number of desired outcomes by the number of total outcomes.

The total number of at bats in this problem is given as follows:

80.

In 12 of them, the pitcher threw exactly four pitches, hence the relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:

12/80 = 3/20.

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Answer:

45°

Step-by-step explanation:

in straight lines that intersect like this, if one angle is 55°, the one opposite to it will be equivalent. this means (x+10)° equals 55°. then you work out what x is. so x+10=55 so we can subtract 10 from both sides to get x=45°

Answer: B

Step-by-step explanation:

Since this is a 30-60-90 triangle, b=8(sqrt3) = 8sqrt3.

By the same logic, c=8(2)=16.

Answer:

Total number of ways in which first, second and third prizes will be awarded = 560

Step-by-step explanation:

As given,

There are 16 players participated in a tennis tournament.

and 3 players will be awarded for first, second, and third prize.

As we know,

ⁿCₓ = \(\frac{n!}{x! (n-x)!}\)

n = the number of items.

x = how many items are taken at a time.

As given, n = 16 , x = 3

⇒¹⁶C₃ = \(\frac{16!}{3! (16-3)!} = \frac{16!}{3! (13)!} = \frac{16.15.14.13!}{3! (13)!} = \frac{16.15.14}{3!} = \frac{16.15.14}{3.2.1} = \frac{3360}{6} = 560\)

∴ we get

Total number of ways in which first, second and third prizes will be awarded = 560

The amount of qts to use for 15 gals is 0.6qts

Proportion and ratio

Ratio are written as quotient of 2 integers

Given that 2 qts for every 50 gal of water, this is written as;

2qts = 50 gals

In order to calculate for 15gal, we will have:

x = 15gals

Take the ratio

2/x = 50/15

50x = 30

x = 3/5

x = 0.6qts

Hence the amount of qts to use for 15 gals is 0.6qts

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Answer:

Step-by-step explanation:

To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.

For example:

y=-2/3(-6)=7

-2/3x6=-4

-4+7=3

(-6,3)

You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.

To get the x value, you need to fill in the y in the equation y=-2/3x+7

for example:

5=-2/3x+7

-2=-2/3x

3=x

(3,5)

y=-2/3x+7

y=-2/3(15)+7

y=-10+7

y=-3

(15,-3)

y=-2/3x+7

15=-2/3x+7

8=-2/3x

-12=x

(-12,15)

Answer: 15 inches

Step-by-step explanation:

15 × 1 ÷ 12 = 1.25 ft

1.25 ft = 1.25 × 12 = 15 in

Answer: x = 3

Step-by-step explanation: -7 + 9 = 8 - 6

Answer: The answer is 10

Step-by-step explanation:

The csc(theta) = 1/sin(theta) = 1/(-2/√13) = -√13/2. So, the cosecant of theta is -√13/2.

To find the cosecant (csc) of theta when a point (-3, -2) lies on its terminal side, we need to determine the hypotenuse (r) of the right triangle formed by this point.

Using the Pythagorean theorem, r^2 = (-3)^2 + (-2)^2. So, r^2 = 9 + 4 = 13, and r = √13.

The csc(theta) is the reciprocal of sin(theta). Sin(theta) is calculated as the ratio of the opposite side (y-coordinate) to the hypotenuse, or sin(theta) = -2/√13.

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Answer:

0.1 is bigger

Step-by-step explanation:

hope it helps

Answer:

1 is -8 2 is -9i

Step-by-step explanation:

when you combine the numbers on the left side they should equal the ones on the right side. -8+15=7 -3i-9i=-12i  = 7-12i

Answer:

-4

Step-by-step explanation:

From the question, we can deduce that the algebraic expression is a multiplication of a number and a variable.

First instance;

Number = +1

variable= x

Output = -4

+1 * x = -4

x = -4/1 = -4

Second instance;

Let the unknown number be y.

Number = y

variable= 2x

Output = -8x

y * 2x = -8x

y = -8x/2x

y = -4

Check:

2x * -4 = -8x

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{11}\\ a=\stackrel{adjacent}{6}\\ o=\stackrel{opposite}{RT} \end{cases} \\\\\\ RT=\sqrt{ 11^2 - 6^2}\implies RT=\sqrt{ 121 - 36 } \implies RT=\sqrt{ 85 }\implies RT\approx 9.22\)

Answer:

the answer is 33 9/11

Step-by-step explanation:

multiply the fractions

.

.

Answer:

33 9/11

Step-by-step explanation:

22 6/11 x 1 1/2

Convert into improper fractions.

248/11 x 3/2

Reduce the numbers with the greatest common factor 2.

124/11 x 3

Calculate

372/11

=33 9/11

Hope this helps :)

Given:

The right triangle with side 40 and hypotenuse is 85.

By using the pythagorean theorem,

Answer: The length of the third side is 75 unit.

Answer:

D. 500 L

because ml cl is smaller than L

Answer:

D. 500 L

Step-by-step explanation:

Choice A (5 ml) is basically a teaspoon. A bathtub can most definitely hold much more then one teaspoon of water.

Choice B (500 ml) is about 17 ounces. Which is basically the amount of water in a normal water bottle. A bathtub can hold more then the amount of water in one water bottle.

Choice C (50 cl) is a little bit more then 2 cups of water. I believe a normal bathtub can hold about 1280 cups of water.

That rules out choices A, B, and C. By process of elimination, we can tell choice D is the answer. But let's just take a look at D.

Choice D (500 L) is about 132 gallons. This is the most plausible one, although some bathtubs don't hold as much water as that, it still is the best estimate of the capacity of a bath tub. \

Hope that helped!

Answer:

Heidi needs to make 9 oranges to make one large orange juice, give me brainliest answer:)

\("20cm"\)

\(Area\ of\ rq=a^2\)

\(a=\sqrt{200}=10\bullet \sqrt{2}\)

\(d\ iargul=\sqrt{2}9\)

             \(=10\times \sqrt{2}\times \sqrt{2}\)

             \(=20cm\)

I hope this helps you

:)

Answer:

$44.52 is the total bill, d = 11.13 × 4

Answer: i didnt really understand what you put but i can help you out. If your saying what _ x _ = 70. You can do 10 x 7 or 7x10

Step-by-step explanation:

3)9.375 and 12 is )37.5

Answer:

Bill $306 in 18 hours.

Step-by-step explanation:

First we want to figure out the unit rate, or how much he makes in 1 hour.

So we do 204 ÷ 12. Which equals 17. So that means bill makes $17 every hour.

If we are trying to figure out how much he makes in 18 hours, we just need to do 18 * 17, which equals 306.

Answer: A: 31

Step-by-step explanation:

2m+9p-11
(plug in m=3, p=4)
2(3)+ 9(4)-11
6+36-11

42-11

31