What number is 15.26 more than the difference of 346.18 and 215.37?

In the Pythagorean theorem, a²+b²=c² is the formula for finding the missing side length in a right-angled triangle. This formula is useful for determining one of the missing side lengths of a right triangle if you know the other two.

However, the theorem also states that c is the length of the triangle's hypotenuse. So, if you have a right-angled triangle with all three sides provided, you may use the Pythagorean theorem to solve for any of the missing sides. You'll use the hypotenuse length as the c variable when the three sides are given, then solve for the missing side.

To apply the Pythagorean theorem, you must identify the hypotenuse, which is the side opposite the right angle. If you're given three sides, the longest side is always the hypotenuse. As a result, you can always use the Pythagorean theorem to solve for one of the shorter sides by using the hypotenuse length.

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Answer:

4. rise

match the following definition with the correct term:

the vertical distance between two points on a line

1. run

2. rate of run

3. slope

4. rise

Answer:

20

Step-by-step explanation:

0.5-0.4=0.1,0.1/0.5×100= 20

The students's estimation is 80%.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given that a student has a container with a volume of 0.5 liter.

He estimates the volume to be 0.4 liter.

Now to find the percentage of estimation,

estimated volume = correct volume × required percentage / 100

0.4 = 0.5 × required percentage / 100

Required percentage = 0.4 × 100 / 0.5

Required percentage = 0.4 × 100 / 0.5

Required percentage = 80%

Therefore, the students's estimation is 80%.

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Answer:

Because <CBD is an inscribed angle and <CAD is a central angle with the same intercepted arc, m<CBD = 55°, or half of the measure of <CAD.

Step-by-step explanation:

The Inscribed Angle Theorem proves that an inscribed angle is half the measure of a central angle, if both the inscribed angle and the central angle intercepts the same arc.

Also, according to the inscribed angle theorem, an inscribed angle is ½ of the measure of the arc it intercepts.

Therefore, m<CBD is half of m<CAD, or half of the measure of the arc CD that they both intercept together.

Thus, m<CBD = 55°, which is ½ of m<arc CD.

m<arc CD = 110° = m<CAD.

m<CBD = ½ of m<CAD = 55°.

The statement that best describes the relationship between <CBD and <CAD is "Because <CBD is an inscribed angle and <CAD is a central angle with the same intercepted arc, m<CBD = 55°, or half of the measure of <CAD."

Effective annual interest rates: 12.6825% for the first 14 years, 19.56182% thereafter.

Balance in present value: $444,117.28.

Balance in future value: $6,903,087.93.

   The effective annual interest rates for the given operations are 12.6825% for the first 14 years and 19.56182% thereafter. These rates take into account compounding on a monthly basis and reflect the actual annual return on the investments.

To calculate the effective annual interest rate for the first 14 years, we can use the formula: (1+monthly interest rate)12−1(1+monthly interest rate)12−1. Plugging in the monthly interest rate of 1%, we find that the effective annual interest rate is 12.6825%.

For the period after 14 years, the effective annual interest rate can be calculated using the same formula, but with the monthly interest rate of 1.5%. Substituting this value, we obtain an effective annual interest rate of 19.56182%.

   The balance in present value can be calculated as the sum of the present values of the contributions and withdrawals. The present value of a cash flow can be calculated using the formula: FV(1+r)n(1+r)nFV​, where FV is the future value, r is the interest rate, and n is the number of periods.

To calculate the balance in present value, we need to determine the present value of the contributions, withdrawals, and future contributions. Applying the formula for each cash flow and summing them up, we find that the balance in present value is $444,117.28.

   The balance in future value can be calculated as the sum of the future values of the contributions and withdrawals. The future value of a cash flow can be calculated using the formula: PV×(1+r)nPV×(1+r)n, where PV is the present value, r is the interest rate, and n is the number of periods.

To calculate the balance in future value, we need to determine the future value of the contributions, withdrawals, and future contributions. Applying the formula for each cash flow and summing them up, we find that the balance in future value is $6,903,087.93.

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The bounds of integration for the volume of the solid in the first octant are as follows:
x: -1 to 1
y: 0 to 1−x^2
z: 0 to 1−y−x^2
To calculate the volume, we can use a triple integral with these bounds:
V = ∫∫∫ dz dy dx
where the integration is done over the specified bounds.

To find the volume of the solid in the first octant bounded by the coordinate planes x=0, y=0, z=0, and the surface z=1−y−x^2, we can start by finding where the surface intersects the xy-plane. This will give us the domain of integration.

To find the intersection points, we set z=0 in the equation of the surface:
0 = 1−y−x^2

Simplifying this equation, we get:
y = 1−x^2

So, the surface intersects the xy-plane along the curve y = 1−x^2.

Now, we can find the bounds for integration in the xy-plane. The curve y = 1−x^2 is a parabola that opens downwards. To find the x-bounds, we need to find the x-values where the curve intersects the x-axis (y=0).

Setting y=0 in the equation y = 1−x^2, we get:
0 = 1−x^2

Rearranging this equation, we have:
x^2 = 1

Taking the square root of both sides, we get two solutions:
x = 1 or x = -1

Therefore, the x-bounds of integration are -1 to 1.

Now, we need to find the y-bounds of integration. Since the curve y = 1−x^2 is entirely above the x-axis, the y-bounds will be from 0 to 1−x^2.

Finally, the z-bounds of integration are from 0 to 1−y−x^2, as mentioned in the question.

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To determine the vertices of image U′V′W′ after a 180° counterclockwise rotation, we can apply the following transformation rules:

Using these rules, we can find the vertices of image U′V′W′ as follows:

Therefore, the vertices of image U′V′W′ after a 180° counterclockwise rotation are U′(0, -2), V′(1, -3), and W′(3, -3).

So, the answer is option (b) U′(0, −2), V′(1, −3), W′(3, −3).

Answer:

21

Step-by-step explanation:

Since the girls have the same age, let their age be x.
Then, their average is

\(\frac{x+x}{2} = \frac{2x}{2} = x\)

Let \(S_{i}\) denote the age of 'i' girls.
Then, \(S_{8} = S_{6} + x + x - eq(1)\)

Also, we have,

\(\frac{S_{8}}{8} =15 - eq(2)\)

\(\frac{S_{6}}{6} =13 - eq(3)\)

Then eq(2):

(from eq(1) and eq(3))

\(\frac{S_{6} + 2x}{8} =15\\\\\frac{13*6 + 2x}{8} = 15\\\\78+2x = 120\\\\2x = 120-78\\\\x = 21\)

The average of the other two girls with equal age​ is 21

Answer:

The answer is 2/10 :P

Step-by-step explanation:

We have To list all the possibilities first ! : 1 head, 2 head, 3 head, 4 head, 5 head, 1 tail, 2 tails, 3 tails, 4 tails and 5 tails ! ;)

We have in total 10 possibilities !

So if we want to work out the probability that she will get a 2 and a head, the answer has to be 2/10 because we have 10 possibilities !

I hope I helped you ! :P

Answer:

20/27

Step-by-step explanation:

Answer:

=12x+28

Step-by-step explanation:

Answer:

The answer is

N+ 1 = 3+2/2

=3

Step-by-step explanation:

The answer is 3

This is a odd number

Answer:

N + 1 = 3+ 2/2 =3

Step-by-step explanation:

I'm pretty sure is odd because it has the number three(3) and the number three (3) is odd.

A distribution in which all the values have the same frequency is called a uniform distribution. This type of distribution is characterized by an equal probability of each value occurring within a given range or interval.

In a uniform distribution, the probability density function is a constant value, indicating that all values have the same chance of occurring.
Uniform distributions are often used in statistical analyses and probability theory, particularly in cases where there is no reason to expect one value to occur more frequently than any other. For example, rolling a fair die would result in a uniform distribution, with each of the six possible outcomes having an equal chance of occurring.
Uniform distributions can be visualized using histograms or probability density functions, which display the frequency or likelihood of each value occurring. In practice, many real-world distributions are not perfectly uniform, but they may approximate a uniform distribution in certain circumstances.
Overall, uniform distribution is an important concept in statistics and probability theory, helping to understand the likelihood and frequency of different values occurring within a given data set or range.

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Answer:

About 6 gallons of paint

Step-by-step explanation:

\(\frac{0.5}{84}\)  =  \(\frac{x}{932}\)

84x=932(0.5)

84x=466

x  =  5.55

round up to get about 6 gallons of paint

The number of the gallon of paint is need will be 5.547 gallons of paint.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

Joel used a half gallon of paint to cover 84 square feet of wall.

Then in one gallon of paint he can cover 168 square feet.

He has 932 square feet of walls of paint.

Then the number of the gallon of paint is need will be

⇒ 932 / 168

⇒ 5.547 gallons of paint

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Answer:

Its going by 3/8.

Step-by-step explanation:

the missing number is 1 5/8. I don't know if I'm right for the second

You must use the t-distribution table when working problems when the population standard deviation (σ) is not known and the sample size is small (n<30). General Correct Rule: If σ is not known, then using t-distribution is correct. If σ is known, then using the normal distribution is correct.

Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

In graphical form, the normal distribution appears as a "bell curve".

The normal distribution is the proper term for a probability bell curve.

In a normal distribution the mean is zero and the standard deviation is1. It has zero skew and a kurtosis of 3.

Normal distributions are symmetrical, but not all symmetrical distributions are normal.

The t-distribution describes the standardized distances of sample means to the population mean when the population standard deviation is not known, and the observations come from a normally distributed population.

Therefore,

You must use the t-distribution table when working problems when the population standard deviation (σ) is not known and the sample size is small (n<30). General Correct Rule: If σ is not known, then using t-distribution is correct. If σ is known, then using the normal distribution is correct.

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Answer:

7,897 miles

Step-by-step explanation:

3949-2.7=3946.3

3949+1.7=3950.7

3946.3+3950.7=7897

The statements true of the two-dimensional plane sections that could result from one of these slices made by Misha are B, C, D, E, and F.

A. False. The only two-dimensional plane sections that could result from slicing a cube with a plane are squares or rectangles, but not triangles.

B. True. A plane section that is square could result from one of these slices through the cube.

C. True. A plane section that is rectangular but not square could result from one of these slices through the cube.

D. True. A plane section that is triangular could result from one of these slices through the pyramid.

E. True. A plane section that is square could result from one of these slices through the pyramid.

F. True. A plane section that is rectangular but not square could result from one of these slices through the pyramid.

Therefore, the correct statements are B, C, D, E, and F.

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Answer:

-24

Step-by-step explanation:

-2/3d-1/4d=22

-d(2/3+1/4)=22

-d((8+3)/12)=22

-d*11/12=22

d=-22*12/11

d=-2*12

d=-24

Answer:

9/10

Step-by-step explanation:

9 is in the tenth place so the denominator is 10.

Answer:

the answer is 9/10

Answer:

$37.75

Step-by-step explanation:

$15.10 * 2 = 30.20

30.20  + 7.55(half of 15.10) = 37.75

Answer:

the answer is b

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Both of the cost for 8 hours is $30

Answer:

Question 1: A - 5,400sqft

Question 2: 11 bags of fertilizer

Step-by-step explanation:

Question 1: You need the areas of the white squares added together and then subtracted from the total area of the park.

Question 2: To find the number of bags needed to fertilize the grass we simply divide the area one bag can fertilize by the shaded area. We could use a basic equation such as:

In this equation x represents the number of bags needed to fertilize the shaded area. The answer is 10.8, but logically speaking you cannot buy .8 of a bag so you just round up to 11.

Answer:

Well the circle would be not filled in since its not a equal to. The arrow would be pointing to the right of -12

Answer

I don't have a graph to show you but I will try my best to explain it to you.

Step-by-step explanation:

So what you do first is make your graph. You can make it as long as you like. Just make sure that you have -12 on the left end of your graph. So now what h>-12 means is that h is greater then -12. Therefore, you will make a open dot on the piont -12 to indicate that h can not be -12, then you put a dark line to all the numbers that are greater then -12, this will show that h can be any of these numbers. Once you hit the end of your graph you will put a arrow to show the direction of were the line is going. This will show that h can be any of the numbers that are greater then -12 on your graph and more that are off your graph.

Answer:

\(7x + 3 \\ \)

Step-by-step explanation:

All sides in an equilateral triangle are equal so factor out three and you are left with the length of each side.

\(3(7x + 3)\)

Answer: 4 minutes

Step-by-step explanation: divide 12 and 3

Answer: 30 min

Step-by-step explanation:

3 miles x 2. 1

——————- = ——- = 30 min

12 mph. 2 hrs

Expression that has the same addend twice, such as 3 + 3 = 6 or 8 + 8 = 16

What do you mean by One-to-One Correspondence?

the capability of relating one object to another. For each number spoken aloud, the learner should be able to count or move one object while saying "1,2,3,4". She has not learned one-to-one correspondence if she accidentally counts an object twice or skips one of the things while counting. Before starting Giggle Facts, students must be able to match one object to each number counted.

Remind your kids that a double fact is a mathematical expression that has the same addend twice, such as 3 + 3 = 6 or 8 + 8 = 16. Give children the chance to practise combining groups of the same number using manipulatives or other classroom supplies.

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Answer:

A double expression

Step-by-step explanation:

Answer:

typing 16 words in 2/3 of a minute

Step-by-step explanation:

very very sorry for the late response wish i could have seen this earlier

Step-by-step explanation:

Answer:

typing 16 words in 2/3 of a minute

Step-by-step explanation:

cX(n) is an unbiased estimator of theta when c = (n+1)/n.

To find the constant c that makes cX(n) an unbiased estimator of theta, we need to solve for E[cX(n)] = theta. Using the fact that X(n) follows the distribution F(x) = (x/theta)^n, we have:

E[cX(n)] = ∫0^theta cx(n)(x/theta)^n dx

= c/ (n+1) * theta * [(n+1)/(n+2)]^(n+1)

Setting this equal to theta and solving for c, we get:

c = (n+1)/n

Therefore, cX(n) is an unbiased estimator of theta when c = (n+1)/n.

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