Two cards are selected from a standard deck of 52 playing cards. The first card is not replaced before the second card is selected. Find the probability of selecting a three and then selecting a fiveThere are 4 threes in the deck so the probability of selecting a three is 4/52. Then, for the second draw, there are 4 fives as well but, since you already selected a card and didn't replace it, there are now only 51 cards in the deck so the probability of selecting a five is 4/51The probability of both events happening is the product of the two individual probabilities so 4/52 * 4/51 = 16/2652 = 4/663 = 0.6%

Answer:

SAS

Step-by-step explanation:

Answer:

Dream Destination Hawaii Number of Nights 4 Expense Total budgeted for each expense for the entire trip Round-Trip Airfare Airline 5,000 Cost per ticket dont know (you can use orbitz.com, kayak.com, or expedia.com) Lodging (Circle one) Hotel or Airbnb Cost per night dont know (you can check hotel prices on hotels.com and short-term vacation rentals on airbnb.com) Transportation (circle one) Car rental is $45 per day total Uber/taxis are $30 per day total Subway/buses are $10 per day total Food he (write your best estimate) Miscellaneous (museums, concerts, tips for servers, souvenirs, etc.) we (write your best estimate) Total $ ,780 Are you within your budget? yes If not, reduce one expense or the number of nights you’re staying above.

Step-by-step explanation:

Answer:

Mean deviation of 80, 88, 93, 95 is 5

Step-by-step explanation:

Step 1: find the mean

Mean = Sum of items/ Number of items

Mean = 80+88+93+95 = 356

Mean = 356 / 4 = 89

Step 2: find the mean deviation

Mean Deviation = ∑i = 0n |xi − μ| / N

Mean Deviation = | (89-80) + (89-88) + (89-93) + (89-95) | /4

Mean Deviation = 5

Answer:

The main reason for the large population growth in Texas between 1850 and 1860 was __________.

a.

a large increase in the birth rate

b.

a large decrease in the death rate

c.

settlers moving in from other places

d.

all of the above

Please select the best answer from the choices provided

A

B

C

D

Step-by-step explanation:

Answer:

1/3 x 3/4

Step-by-step explanation:

in this case, 3/4 is correct because it is 3 of 4 shaded.

hope this helps!

Hii! Its your friend Nat! :)

Known: 3/4 of the model is shaded, we are multiplying.

The model repersents 3/4

This is because only 3 out of 4 pieces are shaded in.

If all pieces were shaded it would be 4/4 or 1 whole.  

1/3 x 3/4  is 3/12

3/12 simplifed is 1/4

Hope dis helps!

Brainliest?

~Learning with  Natalia~

In linear equation, The quarts of yellow paint mixed with 6 quarts of red paint should be, 4.

What in mathematics is a linear equation?

the number of quarts of yellow paint should be mixed with 6 quarts of red paint.

According to question

As, 3 quarts of red paint is mixed with 2 quarts of yellow paint

So, 6 quarts of red paint is mixed with

                                6/3  *   2 = 4 quarts of yellow paint

Thus, the quarts of yellow paint mixed with 6 quarts of red paint should be, 4.

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Answer:

200

Step-by-step explanation:

So its basically you multiply the length by the width which is 15 times 5 which is 75 then you multiply 75 times 4 which is 200 so the answer is 200.

The solutions are given below.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

Part A

the dotted line formes the thrid side of the triangle.

part B

The length is the unknon side increases while kepping the known side lenths fixed, measuremnt of anggle Z will increas. So, the tringle will not fir the given conditions anymore.

part c

If the length of he unknown side decrases while keeping h known side lengths fixed,the measure of angle will decrease so he tringle will not fit the given conditions anymore.

part D

You know the given conditions for the triangle are fixed you also know the unknown side length is fixed. What dose the this tell you angles adjacent to the unknown side.

part e

The given condiction are fixed and the unknown side lenghtis fixed, the angles adjacent to the unknown side must much also be fixed.

part f

Given two side lengths and the measurement of the angle between them, only one triangle can be constructed. Part G The length of the unknown side (c) is 9.76 centimeters

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Answer:

The answer is y = 3

hope this helped :)

Answer:

x = 4

Step-by-step explanation:

the segment inside the triangle is an angle bisector and divide the opposite side into segments that are proportional to the other two sides, that is

\(\frac{x}{x+4}\) = \(\frac{x+6}{2x+12}\) = \(\frac{x+6}{2(x+6)}\) = \(\frac{1}{2}\) ( cross- multiply )

2x = x + 4 ( subtract x from both sides )

x = 4

Answer:

2.5

Step-by-step explanation:

Start by plugging in the given values into the equation:

v=u+at

v=3+(-2)(1/4)

Now we simplify and solve

v=3-1/2

v=2 1/2

v=2.5

The correct option is The Barbara equation did not consider the number of bottles of water.

Given,

The selling price of iced tea is $1.49 per bottle.

The selling price of water is $1.25 per bottle.

Equation written by the Barbara,

\(1.25x+1.49=100\)

Here in this question Barbara multiply the selling price of bottle with the number of bottle using the coefficient x, But she did not use any coefficient for the bottle of water. The correct equation is,

\(1.25x+1.49y=100\)

where y is the number of water bottle sold to earn the profit of $100.

Hence the correct option is the Barbara equation did not consider the number of bottles of water.

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The equivalent units for the Compounding Department for August 2019 is 57,000 pounds.

Here is the explanation -

To calculate the equivalent units for the Compounding Department in August 2019 using the weighted average method, we need to consider the units that were started and completed, as well as the ending work-in-process.

Step 1: Calculate the equivalent units for units started and completed:
- 36,000 pounds were started.
- 34,000 pounds were transferred out.
Equivalent units for units started and completed = 34,000 pounds.

Step 2: Calculate the equivalent units for ending work-in-process:
- Ending work-in-process was 70% processed.
- Beginning work-in-process was 2,000 pounds (60% processed).
Equivalent units for ending work-in-process = (70% x Ending work-in-process) + (60% x Beginning work-in-process)
Equivalent units for ending work-in-process = (70% x 2,000 pounds) + (60% x 36,000 pounds)
Equivalent units for ending work-in-process = 1,400 pounds + 21,600 pounds
Equivalent units for ending work-in-process = 23,000 pounds.

Step 3: Calculate the total equivalent units:
Total equivalent units = Equivalent units for units started and completed + Equivalent units for ending work-in-process
Total equivalent units = 34,000 pounds + 23,000 pounds
Total equivalent units = 57,000 pounds.

Therefore, the equivalent units for the Compounding Department for August 2019 is 57,000 pounds.

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The volume of the solid generated by revolving the region in the first quadrant bounded by the coordinate axes, the curve y = e^-x and the line x = 8 about the line x = 8 is approximately 1483.6 cubic units.

To find the volume of the solid generated by revolving the region in the first quadrant bounded by the coordinate axes, the curve y = e^-x and the line x = 8 about the line x = 8, we can use the method of cylindrical shells.

To find the volume of the solid, we need to integrate the area of each cylindrical shell over the height of the solid. Let r be the radius of a cylindrical shell at height y, and let h be the thickness of the shell. Then the volume of the shell is given by:

dV = 2πrh × h

where the factor of 2 comes from the fact that there are two cylindrical shells (one on either side of the line x = 8).

We can express r and h in terms of y:

r = 8 - y

h = e^8 - e^-x

Substituting these expressions into the formula for dV and integrating from y = 0 to y = 1, we get,

V = ∫(0 to 1) 2π(8 - y)(e^8 - e^-x) dy

= 2π ∫(0 to 1) (8e^8 - 8e^-x - ye^8 + ye^-x) dy

= 2π [8e^8 - 8e^-1 - (1/2)e^8 + (1/2)e^-1]

= 2π [15e^8 - 4e^-1]

≈ 1483.6 cubic units

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The given question is incomplete, the complete question is:

Find the volume of the solid generated by revolving the region in the first quadrant bounded by the coordinate axes, the curve y = e^-x and the line x = 8 about the line x = 8.

the sample standard deviation (s) is 4.

To compute the sample standard deviation (s) using the given information, we can use the formula for the z-score transformation:

Z = (X - M) / s

Rearranging the formula, we can solve for the sample standard deviation (s):

s = (X - M) / Z

Substituting the given values, we have:

X = 88

M = 80

Z = 2.00

s = (88 - 80) / 2.00

s = 8 / 2.00

s = 4

what is standard deviation?

Standard deviation is a measure of the dispersion or spread of a set of values in a dataset. It quantifies how much the individual data points deviate from the mean or average of the dataset.

Mathematically, the standard deviation (represented by the symbol σ for the population and s for a sample) is calculated by taking the square root of the variance. The variance is the average of the squared differences between each data point and the mean.

The formula for calculating the standard deviation of a sample is:

s = √(Σ(xᵢ - x(bar))² / (n - 1))

Where:

- xᵢ represents each individual data point in the sample

-  x(bar) represents the sample mean

- n is the sample size

The standard deviation provides valuable information about the variability and dispersion of the data points. A larger standard deviation indicates a wider spread of values, while a smaller standard deviation indicates that the data points are closer to the mean and less spread out.

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The correct answer choice for the MPC (marginal propensity to consume) when the multiplier is 6 is not provided among the options A. 0.16, B. 0.83, C. 0.71, or D. 0.86.

The MPC is calculated as the ratio of the change in consumption to the change in income. When the multiplier is given, we can derive the MPC using the formula MPC = 1 / (1 + MPC). In this case, the multiplier is stated to be 6.

To find the corresponding MPC, we can solve the equation 1 / (1 + MPC) = 6 for MPC.

Rearranging the equation, we have 1 + MPC = 1 / 6. Subtracting 1 from both sides, we get MPC = 1 / 6 - 1 = -5 / 6.

The result MPC = -5 / 6 implies a negative MPC, which does not align with any of the given answer choices.

Additionally, all the answer choices provided (0.16, 0.83, 0.71, and 0.86) are positive values, further confirming that none of them represents the correct MPC when the multiplier is 6.

Therefore, the correct answer choice for the MPC when the multiplier is 6 is not listed among the options A. 0.16, B. 0.83, C. 0.71, or D. 0.86.

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Answer:

$30.69

Step-by-step explanation:

22.32/ 8 = 2.79

11 x 2.79 = 30.69

Given:

Gretchen's gross annual salary = $97,300

The maximum amount of rent she can afford to pay per month can be found using the formula:

\(\text{Max amount of rent she can pay}=\frac{\text{\it{Gross annual salary}}}{\text{\it{Number of months in a year}}}\)

Applying the formula:

\(\text{Max amount of rent she can pay}=\dfrac{97300}{12}\)

                        \(= \ \$811\)

Hence, the maximum amount of rent she can afford to pay per month is $811

Answer: $811

Step-by-step explanation:

(1-3i)-(2-i)=

1-2-3i+i=

-1-2i

1-2-3i+i

= -1-2i

Step-by-step explanation:

I simplified it in a simple way by arranging like terms together and did the calculation. Here the like term of 1 is -2 and for -3i it's i. so 1-2= -1 and -3i+i= -2i according to integers rule.

Step-by-step explanation:

I think the answer is just no solution to begin with since the value of an absolute value will never be a negative number or in this case less than -2. therefore the equation is false

The equation that could represent a linear combination of the system 2/3x + 5/2y = 15 and 4x + 15y = 12 is 0 = 26

Linear equations are equations that have constant average rates of change, slope or gradient

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

2/3x + 5/2y = 15

4x + 15y = 12

Multiply the first equation by 6, to eliminate the fractions.

6 * (2/3x + 5/2y = 15)

This gives

4x + 15y = 90

Subtract the equation 4x + 15y = 90 from 4x + 15y = 12

4x - 4x + 15y - 15y = 12 - 90

Evaluate the difference

0 + 0 = -78

Evaluate the sum

0 = -78

The above equation is the same equation as option (b) 0 = 26

This is so because they both represent that the system of equations have no solution

Hence, the equation that could represent a linear combination of the system is 0 = 26

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Complete question

The system of equations below has no solution.

2/3x + 5/2y = 15

4x + 15y = 12

Which equation could represent a linear combination of the system?

Answer:

8/27 ft³

Step-by-step explanation:

V = s³

V = (2/3 ft)³

V = 2³/3³ ft³

V = 8/27 ft³

The polynomial that has factors of 4x - 7 and x⁴ is 4x² - 23x - 28. The correct option is 4x² - 23x - 28.

To find this, you can use the fact that if a polynomial has a factor, then when you divide the polynomial by that factor, the remainder is zero.

Using this, you can set up the following equations: 4x - 7 = 0 and x⁴ = 0

From the first equation, you can solve for x:

4x = 7
x = 7/4

From the second equation, you can see that x⁴ = 0.

This means that x = 0.

So, the polynomial that has factors of 4x - 7 and x⁴ is obtained by setting the factors equal to zero:

4x - 7 = 0
x = 7/4

x⁴ = 0
x = 0

So, the polynomial is 4x² - 23x - 28.

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What is Boussinesq equation used for?

In coastal engineering, Boussiness q-type equations are frequently used in computer models for the simulation of water waves in shallow seas and harbours.

What is the physical meaning of the Navier-Stokes equations?

What is the difference between NS equation and Euler's equation in terms of assumption?

The difference between them and the closely related Euler equations is that Navier–Stokes equations take viscosity into account while the Euler equations model only inviscid flow.

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The bounds for a 95% confidence interval could be option (B) 72 and 79

We know that the 98% confidence interval has bounds of 73 and 80. This means that if we were to repeat the same experiment many times, we would expect that 98% of the time, the true population mean would fall within this range.

To find the bounds for a 95% confidence interval, we can use the fact that a higher confidence level corresponds to a wider interval, and a lower confidence level corresponds to a narrower interval.

Since we want a narrower interval for a 95% confidence level, we can expect the bounds to be closer to the sample mean. We can calculate the sample mean as the midpoint of the 98% confidence interval

(sample mean) = (lower bound + upper bound) / 2 = (73 + 80) / 2 = 76.5

Next, we can use the formula for a confidence interval:

(sample mean) ± (z-score) × (standard error)

where the z-score depends on the desired confidence level, and the standard error depends on the sample size and sample standard deviation. Since we don't have this information, we can assume that the sample size is large enough (i.e., greater than 30) for the central limit theorem to apply, and we can use the formula

standard error = (width of 98% CI) / (2 × z-score)

For a 98% confidence interval, the z-score is 2.33 (found using a standard normal distribution table or calculator). Plugging in the values, we get

standard error = (80 - 73) / (2 × 2.33) = 1.70

Now, we can use this standard error to calculate the bounds for a 95% confidence interval

(sample mean) ± (z-score) × (standard error) = 76.5 ± 1.96 × 1.70

Simplifying, we get

(lower bound) = 76.5 - 3.33 = 73.17

(upper bound) = 76.5 + 3.33 = 79.83

Therefore, the correct option is (B) 72 and 79

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Answer:

\(\sqrt{51}\) or 7.14

Step-by-step explanation:

Using the Pythagoras theorem, we can conclude the formula that we are going to use here is \(a^{2}+b^{2} = c^{2}\)

As we can see, this is a right triangle given that it has the square in the corner there. With this information, we can conclude that the longest side is 10, making it the hypotenuse or \(c\)

Now we need to find \(b\) in the formula of \(a^{2}+b^{2} = c^{2}\) making the equation \(b^{2} = c^{2} - a^{2}\) or \(b = \sqrt{ c^{2} - a^{2}}\)

Given the provided information, this would be \(b^{2} = 10^{2} - 7^{2}\) or \(b = \sqrt{ 10^{2} - 7^{2}}\)

Simplifying it would be \(b = \sqrt{ 100-49\) = \(\sqrt{51}\)

The radical form would be \(\sqrt{51}\)

While it's integer would be 7.14

Hope this helps!

Answer:

Step-by-step explanation:

Use Pythagorean theorem,

Let the third side =x

base² + altitude² = hypotenuse²

7² + x² = 10²

49 + x² = 100

       x² = 100 - 49

      x² = 51

     x = √51

There are 155 ways to select three vehicles so that at least one truck is chosen.

To solve the problem given above, we first need to calculate the total number of ways of choosing three vehicles without any restrictions. We can do this by using the combination formula.

The number of combinations of n objects taken r at a time is given by:

nCr = n! / r! (n - r)!

where n! is the factorial of n (i.e. the product of all positive integers up to n), r! is the factorial of r, and (n - r)! is the factorial of n - r.

Using this formula, we can calculate the total number of ways of choosing three vehicles as follows:

nCr = 11! / 3! 8! = 11 × 10 × 9 / 3 × 2 × 1 = 165

Now, we need to calculate the number of ways of choosing three vehicles so that no truck is chosen. Since there are 5 cars, we can choose 3 cars in 5C3 = 10 ways.

Therefore, the number of ways of choosing three vehicles so that at least one truck is chosen is given by the difference between the total number of ways of choosing three vehicles and the number of ways of choosing three vehicles so that no truck is chosen.

Thus, the number of ways of choosing three vehicles so that at least one truck is chosen is:

165 - 10 = 155

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Answer:

117

u welcome

Step-by-step explanation:

We can see here that statement 4 is the first error in this proof. The reason for statement 6 is not correct because the expression should be what we are proofing.

An angle is a geometric figure formed by two rays or line segments that share a common endpoint called the vertex. The rays or line segments are referred to as the sides of the angle.

The measurement of an angle is typically expressed in degrees, radians, or other angular units. Angles are commonly used to describe the amount of rotation or the inclination between two lines or surfaces.

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