The letters A,L,G,E,B,R,A are places in a bag. you choose 1 card, put it back and choose again.


What is the probability that you choose A followed by THE EXACT SAME "A" Card.

Answer:

5:11 is the ratio is equivalent to 10:22

Step-by-step explanation:

10:22  if you simplify this ratio

5:11 ....so same as 10:22 just more simplified.

Answer:

1 3/5 miles/hr

Step-by-step explanation:

Let C be the speed of the current

Let D be the distance between Chan's house and the park

We know that Distance, D, is = Speed x Time

-----

Chan's speed going upstream is (8 - C)mph.

That gives us:

D = (8-C)(3 hr)

Chan's speed going downstream is (8+C)mph

So we have:

D = (8+C)(2 hr)

We know that the d is the same for these two equations, so:

(8-C)(3 hr)  = (8+C)(2 hr)

24 - 3C = 16 + 2C

5C = 8

C = (8/5) or 1 3/5 mph

Answer:

  1.6 mph

Step-by-step explanation:

Distance, speed, and time are related by ...

  distance = speed × time

We assume that the distances up and back are the same, so for a current speed of c, we have ...

  3(8 -c) = 2(8 +c)

  24 -3c = 16 +2c . . . eliminate parentheses

  8 = 5c . . . . . . . . . . add 3c-16 to both sides

  c = 8/5 = 1.6 . . . . . divide by 5

The speed of the current is 1.6 miles per hour.

If the spinner has an equal chance of landing on each color, then the probability of landing on pink or blue is 1/2 or 0.5.

Using this probability, we can make the following prediction:

Expected number of times landing on pink or blue = probability of landing on pink or blue * number of spins

Expected number of times landing on pink or blue = 0.5 * 57

Expected number of times landing on pink or blue = 28.5

Therefore, the best prediction possible for the number of times the spinner will land on pink or blue is 28.5 times. However, it is important to note that this is only an expected value and the actual number of times it lands on pink or blue may vary

On a coordinate plane, locations of the points (2 , -1) and (2 , 1) related by reflection across the x-axis.

It is given that the locations of the two points are (2 , -1) and (2 , 1).

We have to find the relation between two points.

From the given points (2 , -1) and (2 , 1), it is clear that the y-coordinates are same but the sign of x-coordinates are opposite.

If a figure is reflected across the y-axis, then we change the sign of y-coordinate and the x-coordinates remain same,

So, it is reflection across the x-axis.

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A confidence interval is constructed to estimate the value of a parameter.

In statistics, a parameter refers to a numerical characteristic of a population, such as the population mean or population proportion. When we want to estimate the value of a parameter, we construct a confidence interval.

A confidence interval provides a range of values within which we believe the true parameter value is likely to fall, based on our sample data. It is constructed using sample statistics and takes into account the variability and uncertainty in the estimation process.

A confidence interval is constructed to estimate the value of a parameter, not a statistic.

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If A has rank 6, then it has 6 linearly independent rows and its row space has dimension 6. If the rank of A is less than 6, then the dimension of the row space will be less than 6.

The row space of a matrix is the span of its row vectors. Therefore, the dimension of the row space is equal to the number of linearly independent rows of the matrix.

For a 9x6 matrix A, the largest possible dimension of the row space is 6. This is because there can be at most 6 linearly independent rows in a 9x6 matrix. If there were more than 6 linearly independent rows, then the matrix would have rank greater than 6, which is impossible since the maximum rank of a 9x6 matrix is 6.

For a 6x9 matrix A, the largest possible dimension of the row space is also 6. This is because the number of linearly independent rows cannot exceed the number of columns in the matrix.

Therefore, if A has rank 6, then it has 6 linearly independent rows and its row space has dimension 6.

However, if the rank of A is less than 6, then the dimension of the row space will be less than 6.

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Multiply 0.625/1 by 1000/1000 to get 625/1000. Reducing we get 5/8  

Step-by-step explanation:

1. m∠ WYC = 90° - 63°

= 27°

2. 9x + 63° = 90°

9x = 90° - 63°

9x = 27°

x = 27/9

x = 3°

Explanation

We are given the stemplot below:

We are required to determine the highest score received.

A stemplot can be interpreted as follows:

With the illustration above, we can pair the stem and leaf of the stemplot given to determine that the highest score is 100.

Option B is correct. The answer is 100.

Answer:5.97

Step-by-step explanation.  

you have to look at the question.

you have to look around the question

The very last step is you have to answer it  

Answer:

Regular polygon of 10 sides or 10-gon

Explanation:

The angle of rotation symmetry is equal to

θ = 360/n

Where n is the order of rotation. In a regular polygon, the order of rotation for symmetry is the number of sides.

In this case, we can replace θ by 36 degrees and solve the equation for n

36 = 360/n

n = 360/36

n = 10

Therefore, the shape of rotation should be a regular polygon of 10 sides.

Answer:

Vertex is at (4, 2)

Step-by-step explanation:

to find the 'x' value of the vertex, use 'x = -b/2a'

in this problem, a = 1, b = -8, c = 18

x = -(-8)/2(1)

x = 8/2

x = 4

plug 2 in for 'x' in equation and solve for 'y':

y = 4² - 8(4) + 18

y = 16 - 32 + 18

y = -16 + 18

y = 2

Vertex is at (4, 2)

Answer:

y = -2

Step-by-step explanation:

4 ÷ -2 = -2

Therefore, y = -2

: D

Answer:

y = 1/2 or y = 0.5

Step-by-step explanation:

Divide each term by 4 and simplify

The system of inequalities that models the situation is given as follows:

Before we build the inequalities, we have to consider that the variables of the system are given as follows:

Jeremy and his dad worked at least 85 combined hours last week, hence the first inequality is:

x + y ≥ 85.

They collected a total of more than $1000 by charging $20 per hour, hence the second inequality is:

20x + 20y ≥ 1000.

20(x + y) ≥ 1000.

The minimum number of hours that each can work is of 0, that is, they cannot work a negative number of hours, hence the constraints are:

The problem is incomplete, and it asks for the system of inequalities that models the situation.

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The answer is: a. Yes, the forecast fails the bias test.

To determine whether the forecast fails the bias test, we need to compare the Average Error (AE) with zero.

If the AE is significantly different from zero, it indicates the presence of bias in the forecast. If the AE is close to zero, it suggests that the forecast is unbiased.

In this case, the Average Error (AE) is -2.0, which means that, on average, the forecast is 2.0 units lower than the actual values. Since the AE is not zero, we can conclude that there is a bias in the forecast.

Therefore, the answer is:

a. Yes, the forecast fails the bias test.

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The grams of zinc the jar of chemical contain is 128 grams

In a certain​ chemical, the ratio of zinc to copper is 4 to 15 .

Therefore, a jar of the chemical contains 480 grams of copper.

The grams of zinc in the jar as follows:

Hence,

ratio of zinc to copper = 4 : 15

Therefore,

let

x = total grams in jar

Hence,

480 = 15 / 19 x

15x = 480 × 19

15x = 9120

x = 9120 / 15

x = 608

Therefore,

amount of zinc = 4 / 19 × 608

amount of zinc = 2432 / 19

amount of zinc = 128 grams

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Answer:

The answer is 13.25 I'm so sorry if its incorrect please let me know so I can fix it

Answer:

The maximum height reached by the projectile is 80 feet

Step-by-step explanation:

The given equation of the path of the projectile is y = -16·x² + 64·x + 16

Where;

y = The height in feet, reached by the projectile (Assumption)

x = The time it takes the projectile to reach the height, y (Assumption)

The shape of the given equation of the path of the parabola is that of a parabola turned upside down.

We have that the maximum height is given by the top of the curve where the curve changes direction, and the slope = 0

Therefore, we have;

\(Slope = \dfrac{\mathrm{d} y}{\mathrm{d} x} = \dfrac{\mathrm{d} \left (-16\cdot x^2 + 64\cdot x + 16 \right )}{\mathrm{d} x} = -32 \cdot x + 64 = 0\)

Therefore, at the maximum point, the slope is -32·x + 64 = 0

∴ x = -64/(-32) = 2 at the maximum point

The height at the maximum point = The maximum height, \(y_{max}\), is found by finding the value of y (the height) at x = 2 (the value of x at the maximum point)

Therefore, we have;

\(y_{max}\) = -16 × 2² + 64 × 2 + 16 = 80 feet

The maximum height reached by the projectile, \(y_{max}\) = 80 feet.

Answer:

The maximum height reached by the projectile is 80 feet

Step-by-step explanation:

The 90% confidence interval for the difference in the population means is -2.51 to 0.31

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

xˉ₁ = −17.1

s₁² = 8.4

n₁ = 22

​xˉ₂ = −16.0

s₂² = 8.7

n₂ = 24

Calculate the pooled variance using

P = (df₁ * s₁² + df₂ * s₂²)/df

Where

df₁ = 22 - 1 = 21

df₂ = 24 - 1 = 23

df = 22 + 24 - 2 = 44

So, we have

P = (21 * 8.4 + 23 * 8.7)/44

P = 8.56

Also, we have the standard error to be

SE = √(P/n₁ + P/n₂)

So, we have

SE = √(8.56/22 + 8.56/24)

SE = 0.86

The z score at 90% CI is 1.645, and the CI is calculated as

CI =  (x₁ - x₂) ± z * SE

So, we have

CI = (-17.1 + 16.0) ± 1.645 * 0.86

This gives

CI = -1.1 ± 1.41

Expand and evaluate

CI = (-2.51, 0.31)

Hence, the confidence interval is -2.51 to 0.31

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\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)

Let's solve ~

\(\qquad \sf  \dashrightarrow \: 3 \sqrt{50} \times \sqrt{22} \)

\(\qquad \sf  \dashrightarrow \: 3 \sqrt{2 \times {5}^{2} } \times \sqrt{2 \times 11} \)

\(\qquad \sf  \dashrightarrow \: 3 \times 5 \sqrt{2} \times \sqrt{2 \times 11} \)

\(\qquad \sf  \dashrightarrow \: 15 \sqrt{ {2}^{2} \times 11} \)

\(\qquad \sf  \dashrightarrow \: 15 \times 2 \sqrt{11} \)

\(\qquad \sf  \dashrightarrow \: 30 \sqrt{11} \)

The trail that is closest in length to 10.5 kilometers is Spruce Trail. option D

From the information given, we have that;

The closest in length would be the trail with the lowest difference;

Oak trail = 10.653 - 10. 5 = 0. 153

Maple Trail = 10.592 - 10. 5 = 0. 092

Pine Trail = 10.732 - 10. 5 = 0. 232

Spruce Trail = 10.484 - 10. 5 = -0. 016

Thus, the trail that is closest in length to 10.5 kilometers is Spruce Trail. option D

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Answer:

The range of this quadratic function is

-infinity < y ≤ 2.

Answer:

V=4

3πr3 is formula of this question

Answer:

C. g(x) = x^2 + 3

Step-by-step explanation:

Answer:

The given expression 3\(x^{3}\)-\(x^{2}\) represents a polynomial.

The type of polynomial is Binomial.

The degree of the polynomial is 3.

Step-by-step explanation:

The degree of a polynomial is the highest variable exponent with a non-zero coefficient.

A binomial is a polynomial expression that contains exactly two terms.

1st term: 3\(x^{3}\) 2nd term: \(x^{2}\)

Cindy will make a total amount of $1,800 for 10 weeks

Cindy makes $9 an hour working at a local plant nursery

She does this for 10 weeks

She works for about 20 hours each week

Therefore the total amount of money Cindy made in 10 weeks can be calculated as follows

= 9(20) × 10

= 180 × 10

= 1800

Hence Cindy will make a total amount of $1800 in 10 weeks

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