What is the volume of the prism below?

Probabilities are used to determine the chances of an event.

The probability of a student taking a yoga class or a pilate class i 0.79

The given parameters are:

\(\mathbf{P(Yoga) = 0.70}\)

\(\mathbf{P(Pilate) = 0.60}\)

\(\mathbf{P(Yoga\ and\ Pilate) = 0.51}\)

The probability of Yoga or Pilate is:

\(\mathbf{P(Yoga\ or\ Pilate) = P(Yoga) + P(Pilate) - P(Yoga\ and\ Pilate)}\)

Substitute known values

\(\mathbf{P(Yoga\ or\ Pilate) = 0.70 + 0.60 - 0.51}\)

\(\mathbf{P(Yoga\ or\ Pilate) = 0.79}\)

Hence, the probability of a student taking a yoga class or a pilate class i 0.79

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Answer: Mr. Weeks spent $4.81 per bag.

Step-by-step explanation: I knew the answer, because 48.10 divided by 10 is 4.81. You could've used an calculator to help.

Answer:

Step-by-step explanation:

The bank should sample 429 customers.

To determine the number of customers that should be sampled, we need to use the formula for sample size calculation in estimating a population mean. The formula is given by:

n = (Z * σ / E)^2

Where:

n = sample size

Z =  corresponding to the desired level of confidence (98% confidence corresponds to a z-score of approximately 2.33)

σ = population standard deviation

E = desired margin of error

Plugging in the given values, we have:

n = (2.33 * 300 / 89)^2

n ≈ 429

Therefore, the bank should sample approximately 429 customers.

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Given:\(x^(3) + 11x^(2) + 20x + 7\)is divided by x+1 We are to find the result using synthetic division. Step 1:  Set up the synthetic division table with the coefficients of the polynomial being divided by the divisor as follows.

In this case, we do not have a remainder. Therefore, the answer is simply x² + 10x - 3, which is the quotient obtained using synthetic division. Note: The process of synthetic division is just an algorithm to divide polynomials with the help of the factor theorem.

\(-1 | 1 11 20 7         | -1|   -10  -10  -10         |   0 1  10  -3\)Step 5:  Rewrite the polynomial whose coefficients are in the bottom row of the table.  Therefore,  x³+11x²+20x+7 when divided by x+1 gives  x² + 10x - 3.  The quotient is \(x² + 10x - 3.\)If there is a remainder, we express the result in the form\(q(x)+(r(x))/(b(x)).\)

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Answer:

D. x<=–7

Step-by-step explanation:

An open circle at the end of an interval means that the end point is not included in the interval, i.e. strictly less than or strictly greater than. A closed circle means the end point is included. Also to know is, what does an open circle mean?

The present age of Mohan is 55.

Let the present age of Mohan be x.

Mohan's age 10 years ago = (x-10)

Given, the ratio of Mohan's and Suman's ages 10 years ago = 3:5

⇒ Mohan's age 10 years ago/ Suman's age 10 years ago = 3/5

⇒ Suman's age 10 years ago = Mohan's age 10 years ago × 5/3

                          = (x-10)×5/3

Again, Mohan's age after 11 years = (x+11)

Given, the ratio of Mohan's and Suman's ages after 11 years = 11:16

⇒ Mohan's age after 11 years/Suman's age after 11 years = 11/16

⇒ Suman's age after 11 years = Mohan's age after 11 years × 16/11

                                                 = (x+11)×16/11

But, the Difference between Suman's age 10 years ago and after 11 years                      = 21

⇒ (x+11)×16/11 - (x-10)×5/3 = 21

⇒  (x+11)×48 - (x-10)×55 = 693

⇒ 48x+528-55x+550=693

⇒ 7x=385

∴ x = 55

Hence, the present age of Mohan is 55.

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The amount of money that Rob will have in five years is $412.50.

The savings account earns a simple interest. The amount of money she will have in 5 years is the sum of the amount that she deposited and the interest she has earned.

Value of the account in 5 years = amount deposited + interest

Interest = amount deposited x interest x number of years

= $330 x 0.05 x 5 = $82.50

Value of the account in 5 years =  $82.50 + $330 = $412.50

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5 rules of scientific notation which helps us to represent the numbers which are very huge or very tiny in a form of multiplication of single-digit numbers and 10 raised to the power of the respective exponent.

The exponent is either positive or negative depending on how big or little the number is. Learn about power and exponents to have a deeper understanding. The five golden rules of the scientific notation:

Hence there are the rules of the the scientific notation.

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Answer:

-18

Step-by-step explanation:

-5 + 10 = 5

5 - (-2) = 7

7 - 24 = -17

-17 - 1 = -18

Answer:

4pi or 12.6

Step-by-step explanation:

I hope this helps

Answer:

-1

Step-by-step explanation:

Answer:

y = -1x

Step-by-step explanation:

Find the difference,

(-7,-5) (5,-17) ​

12, -12

12/-12

reduce,

1/-1

-1x

Ace Carlos

Answer:

359.1

Step-by-step explanation:

100 - 20.2 is 79.8

79.8 x 4.5 is 359.1

therefore it is 359.1

Answer:

the last one is 30

Step-by-step explanation:

Answer:

well its 7/8

7 5x 35 so

8 5x 40

40 deffensive players would be there

9514 1404 393

Answer:

  \(\left[\begin{array}{ccc}-1&-1&3\\1&-2&-2\end{array}\right]\)

Step-by-step explanation:

The 270° CCW rotation is described by the transformation ...

  (x, y) ⇒ (y, -x)

That is, the first row of the transformed coordinate matrix is the same as the second row of the input matrix. The second row of the output matrix is the opposite of the first row of the input matrix.

  \(\left[\begin{array}{ccc}-1&-1&3\\1&-2&-2\end{array}\right]\)

Answer:

Comprobar explicación

Check Explanation

Step-by-step explanation:

Los números negativos son números menores que 0. Son muy importantes en la naturaleza y en cualquier trato con los números. Por lo general, se escriben con un signo menos delante de ellos.

Las situaciones en las que el uso de números negativos son absolutamente necesarios incluyen

1) En los negocios, los números negativos se utilizan para indicar la deuda y la salida de efectivo.

2) En los circuitos eléctricos, se usan números negativos para describir el voltaje nominal cuando se invierten las polaridades de la batería.

3) En mediciones de temperatura para indicar temperaturas inferiores al punto de congelación del agua, especialmente en la escala Celsius (0°C).

4) Para indicar profundidades debajo del nivel del mar. El nivel del mar generalmente se designa como nivel 0 en términos de elevación.

5) En la numeración de los pisos debajo de la planta baja para un edificio alto.

6) En el análisis económico general, se utilizan para indicar una disminución de la economía, el PIB del país o un déficit en el presupuesto.

- En el análisis matemático general, los cálculos y las manipulaciones, los números negativos se usan ampliamente y son muy importantes.

- En química, los números negativos se utilizan para indicar la carga en los aniones (iones negativos).

¡¡¡Espero que esto ayude!!!

English Translation

6 situations in which the use of negative numbers is necessary.

Solution

Negative numbers are numbers that are lesser than 0. They are very important in nature and in any dealings with numbers. They are usually written with a minus sign in front of them.

The situations in which the use of negative numbers are absolutely necessary include

1) In business, negative numbers are used to indicate debt and outflow of cash.

2) In electrical circuits, negative numbers are used to describe the rated voltage when the polarities of the battery are reversed.

3) In temperature measurements to indicate temperatures lesser than the freezing point of water especially on the Celsius scale (0°C).

4)To indicate depths below the sea level. The sea level is usually designated to be 0 level in terms of elevation.

5) In the numbering of the floors below the ground floor for a tall building.

6) In general economic analysis, they are used to indicate a decline in the economy, country's GDP or deficit in budget.

- In general mathematical analysis, calculations and manipulations, negative numbers are used very extensively and are very important.

- In chemistry, negative numbers are used to indicate the charge on anions (negative ions).

Hope this Helps!!!

Answer:

Answer: 27:8

Step-by-step explanation:

There are 24 + 16 + 14 = 24+16+14= 54

54 marbles in total.

The ratio of total marbles to red marbles is 54 : 16, which simplifies to 27 : 8.

Answer: 27:8

Answer:

dbc

Step-by-step explanation:

thats the only one that is obtuse

The generating function for the sequence {an} is given by a(x) = (1 + 2x) / (1 - x - 6x^2). It captures the terms of the sequence {an} as coefficients of the powers of x.

To find the generating function of the sequence {an}, we can use the properties of generating functions and solve the given recurrence relation.

The given recurrence relation is: an = an-1 + 6an-2

We are also given the initial conditions: a0 = 1 and a1 = 3.

To find the generating function, we define the generating function A(x) as:

a(x) = a0 + a1x + a2x² + a3x³ + ...

Multiplying the recurrence relation by x^n and summing over all values of n, we get:

∑(an × xⁿ) = ∑(an-1 × xⁿ) + 6∑(an-2 × xⁿ)

Now, let's express each summation in terms of the generating function a(x):

a(x) - a0 - a1x = x(A(x) - a0) + 6x²ᵃ⁽ˣ⁾

Simplifying and rearranging the terms, we have:

a(x)(1 - x - 6x²) = a0 + (a1 - a0)x

Using the given initial conditions, we have:

a(x)(1 - x - 6x²) = 1 + 2x

Now, we can solve for A(x) by dividing both sides by (1 - x - 6x^2²):

a(x) = (1 + 2x) / (1 - x - 6x²)

Therefore, the generating function for the given sequence is a(x) = (1 + 2x) / (1 - x - 6x²).

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Answer:

About 10.802

Step-by-step explanation:

Using the formula for a right circular cone, we can find that the volume is:

\(r=d\div 2 = 2.3 \div 2 = 1.15\\\\\dfrac{1}{3}\pi r^2 h = \dfrac{1}{3}\pi (1.15)^2 (7.8) \approx 10.802\)

Answer:

D 35

Step-by-step explanation:

When figuring this out you can just plug in your answers if you want to take it the easier way by just putting in the 35 in places of x and multiplying 0.1 times 35 gets you 3.5 so 3.5 minus 2.5 is 1

Answer:

xDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD

Step-by-step explanation:

DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD.........................................................D :D

Answer:

D. both lines

Step-by-step explanation:

I am 100% sure! Please give brainiest!!!

Answer:

Any better explanation

Answer:

49

Step-by-step explanation:

Given

v² - 14v

To complete the square

add ( half the coefficient of the v- term )² to v² - 14v

v² - 14v + (- 7)²

= v² - 14v + 49

= (v - 7)² ← a perfect square

The equation for the graph in the interval is y = 3/2x - 1/2

From the question, we have the following parameters that can be used in our computation:

The graph

Where, we have

(-1, -2) and (3, 4)

The equation of the line is calculated as

y = mx + c

Where

c = y when x = 0

Using the points, we have

-m + c = -2

3m + c = 4

Subtract the equations

-4m = -6

So, we have

m = 3/2

This means that

y = 3/2x +c

Next, we have

3/2 * 3 + c = 4

This gives

c = -1/2

Hence, the equation of the line is y = 3/2x - 1/2

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Answer:

Step-by-step explanation:

Which statements are true? Check all that apply.

The total possible outcomes can be found using 52C5.

The total possible outcomes can be found using 52P5.

The probability of choosing two diamonds and three hearts is 0.089.

The probability of choosing five spades is roughly 0.05

The probability of choosing five clubs is roughly 0.0005.

Since it can be chosen in any order, we use combination and not permutation. The number of ways of choosing 5 cards from a group of 52 cards is 52C5.

The probability of choosing two diamonds and three hearts = \(\frac{^{13}C_2*^{13}C_3}{^{52}C_5} = 0.0086\)  so the third one is not true.

The probability of choosing five spades = \(\frac{^{13}C_5}{^{52}C_5}\) ≈ 0.0005. The fourth statement is not true

The probability of choosing five clubs  = \(\frac{^{13}C_5}{^{52}C_5}\) ≈ 0.0005, the fifth one is.

So the answer is the first and fifth statement.

The probability of selecting a combination of cards is given by the ratio of

the ways of selecting the cards to the number of possible outcomes.

The true statements are;

Reasons:

First statement;

Number of cards in the deck of playing cards = 52

The number of possible outcome is given by the combinations of 5 that can be chosen from 52, as follows;

\(\displaystyle The \ \mathbf{number} \ of \ \mathbf{possible \ outcomes}} = _{52}C_5 = \frac{52!}{5! \cdot (52 - 5)!} = 2598960\)

Therefore;

Third statement;

The number of ways of choosing two diamonds is found as follows;

\(\displaystyle Choosing \ two \ diamonds = _{13}C_2 = \mathbf{\frac{13!}{2! \cdot (13 - 2)!}} = 78\)

The number of ways of choosing three hearts is found as follows;

\(\displaystyle Choosing \ three \ hearts = _{13}C_3 = \frac{13!}{3! \cdot (13 - 3)!} = 286\)

The number of ways of choosing two diamonds and three hearts is found as follows;

\(\displaystyle Choosing \ two \ diamonds \ and \ three \ hearts = \frac{_{13}C_2 \times _{13}C_3}{_{52}C_5} = 0.00858\)

Therefore, the number of ways of choosing two diamonds and three hearts ≠ 0.089

\(\displaystyle Choosing \ two \ diamonds \ and \ three \ hearts = \mathbf{\frac{_{13}C_2 \times _{13}C_3}{_{52}C_5}} \neq 0.089\)

Fourth  statement;

\(\displaystyle Probability \ of \ choosing \ five \ spades = \frac{_{13}C_5 }{_{52}C_5} \approx 0.0005\)

Therefore;

\(\displaystyle Probability \ of \ choosing \ five \ spades = \mathbf{\frac{_{13}C_5 }{_{52}C_5}} \neq 0.05\)

Fifth statement;

\(\displaystyle Probability \ of \ choosing \ five \ clubs= \frac{_{13}C_5 }{_{52}C_5} \approx 0.0005\)

Therefore;

The possible question options in the question are;

The total possible outcomes is given by ₅₂C₅

The total possible outcomes is given by ₅₂P₅

Probability of choosing 3 hearts and 2 diamonds is 0.089

The likelihood of choosing 5 spades is approximately 0.05

The likelihood of choosing 5 clubs is approximately 0.0005

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If two samples have the same mean but different standard deviations, the sample with the larger standard deviation will have a wider 95% confidence interval.

This is because the standard deviation is a measure of the variability of the data, and a larger standard deviation indicates that the data points are more spread out from the mean.

The confidence interval is a range of values that we can be reasonably confident contains the true population mean. The width of the confidence interval depends on the standard error of the mean, which is calculated as the standard deviation of the sample divided by the square root of the sample size.

Since the larger standard deviation in sample b implies a larger standard error of the mean, the confidence interval for sample b will be wider than that of sample a, even though both samples have the same mean and sample size. We will be less precise in estimating the true population mean with sample b than with sample a.

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