2 A bag contains three red counters, four green counters, two yellow counters and one white
counter. Two counters are drawn from the bag one after the other, without being replaced.
Calculate:
a P(two red counters)
b P(two green counters)
c P(two yellow counters)
d P(white and then red)
e P(white or yellow, in either order but not both)
f P(white or red, in either order but not both).
g What is the probability of drawing a white or yellow counter first and then any
colour second?

The equation of a parabola with vertex at (0, 0) and axis of symmetry along the y-axis is of the form y = ax^2. The parabola passes through the point (-1, 1), so we can set up the following equation:

y = a * x^2

1 = a * (-1)^2

Solving for a, we get a = 1. Therefore, the equation of the parabola is y = x^2.

The confidence interval for the given poll is; 51% to 57%

We are given that;

Sample proportion; p = 54% = 0.54

Margin of error; E = 3% = 0.03

Now, formula for confidence interval of proportions is;

p ± E

where;

p is sample proportion

E is margin of error

Thus;

CI = 0.54 ± 0.03

CI = (0.54 - 0.03), (0.54 + 0.03)

CI = (0.51, 0.57)

We conclude that the confidence interval is CI = (0.51, 0.57)

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Answer:

  b = -2.875

Step-by-step explanation:

You want the value of b such that (-2, 10) is a point on the graph of g(x)= 5/x −bx²+1.

Fill in the given values and solve for b.

  g(-2) = 10

  5/(-2) -b(-2)² +1 = 10

  -2.5 -4b +1 = 10

  -4b = 11.5

  b = -11.5/4

  b = -2.875

The value of x for the given figure will be equal to √212.

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Apply the Pythagorean theorem for the first triangle,

H² = x² - 6²

Apply the Pythagorean theorem for the second triangle,

B² = 27² - x²

Apply the Pythagorean theorem to the third triangle,

H² = 27² - x² - 21²

H² = -x² + 288

x² - 6² = -x² + 288

2x² = 424

x² = 212

x=√212

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Answer:

6

Step-by-step explanation:

Examine this sequence. What are the relations of these values?

Every time you increase 1 term in the sequence, divide by 2.

768/2 = 384

384/2 = 192

etc.

Write a geometric sequence formula.

[tex]a_n = a*r^(^n^-^1^)[/tex]

A is the starting value (768), and r is the common ratio, or what the value is being multiplied by to get the next term. N is the term, where you can plug it in. For the eighth value, plug in 8 for n.

768 * ? = 384

1/2

r = 1/2

[tex]a_n = 768 * 1/2^(^n^-^1^)[/tex]

For finding the eighth value, plug in 8 for n.'

[tex]768 * 1/2^(^8^-^1^)[/tex]

[tex]768 * 1/2^7[/tex]

768 * 0.0078125

6

To calculate the change in temperature from 8 a. m. to 4 p. m., time we need to subtract the temperature at 8 a. m. from the temperature at 4 p. m. 7.22°C - 3.3°C = 4.92°C Therefore, the change in temperature from 8 a. m. to 4 p. m. is 4.92°C.

To calculate the change in temperature from 8 a. m. to 4 p. m., we need to subtract the temperature at 8 a. m. from the temperature at 4 p. m. The temperature at 8 a. m. was 3.3°C, and the temperature at 4 p. m. was 7.22°C. Subtracting 3.3°C from 7.22°C gives the change in temperature of 4.92°C. To calculate the change in temperature from 8 a. m. to 4 p. m., we need to subtract the temperature at 8 a. m. from the temperature at 4 p. m. 7.22°C - 3.3°C = 4.92°C This means that the temperature increased by 4.92°C from 8 a. m. to 4 p. m. by time . The answer to the question is 4.92°C.

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Answer:

[tex](4,-3)[/tex]

Step-by-step explanation:

The solution is where the graphs intersect.

Answer:

The three integers are 30, 180, and 540.

Step-by-step explanation:

The greatest common divisor (GCD) of two numbers is the largest number that divides both numbers without a remainder. The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both numbers.

In this case, we are given that the GCD and LCM of three integers are 6 and 1080, respectively. This means that the three integers must have a GCD of 6 and an LCM of 1080.

We are also given that the first two numbers are 60 and 72. The GCD of 60 and 72 is 12, which is not equal to 6. Therefore, these two numbers cannot be the first two integers.

To find the three integers, we need to find two numbers with a GCD of 6 and an LCM of 1080. One possible pair of numbers is 30 and 180, which have a GCD of 6 and an LCM of 180.

The third number must be a multiple of 6 and a factor of 1080. A possible value for the third number is 540, which is a multiple of 6 and a factor of 1080.

The three integers are 30, 180, and 540.

Answer:

There's 413.1ml of liquid in the bottle

The z-score to the nearest tenth for the following blood pressure readings is 45.14%.

What is blood pressure ?

The force of moving blood exerted on the walls of blood arteries is known as blood pressure. The heart's action of pumping blood through the circulatory system is mostly responsible for this pressure. The pressure in the major arteries is meant when the word "blood pressure" is used without qualifier.

As the data is normally distributed we can use standard normal z table to estimate the answers.

Z = (x-mean)/s.d

Given mean = 121.

S.d = 15.

P(X<142).

Z = (142-121)/15 = 1.4

From z table,

P(z<1.8) = 0.9641 ~ 96.41%

P(X>130).

Z = (130-121)/15 = 0.6

From z table,

P(z>0.6) = 0.8849

P(112<X<130) = P(X<130)-P(X<112).

P(X<130).

Z = (130-121)/15 = 0.6

From z table,

P(z<0.6) = 0.7257

P(X<112).

Z = (112-121)/15 = -0.6

From z table,

P(z<-0.6) =0.2743

Required answer is 0.7257-0.2743 = 0.4514 ~ 45.14%

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Answer:

1,500,000

Step-by-step explanation:

Let's assume the value of sales that the salesman made during the year to be x.

The bonus that he received at the end of the year is 7% of the value of the sales he made. So, his bonus would be 0.07x.

Therefore, his total income for the year is his basic monthly salary plus the bonus he received. We know that his total income was Rs 441,000. Hence, we can write:

28,000 * 12 + 0.07x = 441,000

Simplifying this equation:

336,000 + 0.07x = 441,000

0.07x = 105,000

x = 1,500,000

Therefore, the value of the sales that the salesman made during the year was Rs 1,500,000.

let x as the total sales

441 000 = 12(28 000) + 0.07x

441 000 = 336 000 + 0.07x

441 000 - 336 000 = 336 000 - 336 000 + 0.07x

105 000 = .07x

x = 1 500 000

12 * 28 000 = 336 000   (12 months salary)

0.07(1 500 000) = 105 000 (total sales)

336 000 + 105 000 = 441 000

Therefore, salesman total sales for the whole year is RS 1 500 000.

Step-by-step explanation:

The total calories from the ice cream are 302 kcal when a scoop of quality ice cream has 5 grams of protein, 21 grams of carbohydrate, and 22 grams of fat.

A vital component of wellbeing and growth is nutrition. Strengthened immune systems, safer pregnancies and deliveries, a decreased risk of non-communicable diseases, and longer life spans are all associated with better nutrition. Healthy kids learn more effectively.

calculation

Since we know that every gram of protein includes 4 kcal, 5 g will have 5 × 4 = 20 kcal.

According to our knowledge, each gram of carbohydrate carries 4 kcal, so 21g will contain 21 x 4 = 84 kcal.

Given that each gram of fat has 9 calories, 22 grams will have a caloric value of 22 x 9 = 198 calories.

20 + 84 + 198 = 302 kcal are the total calories from the ice cream.

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The gradient vector field of f is ∇(f) = (xi+yj)/√(x^2+y^2) ans sketch is given below.

In the given question, we have to find the gradient vector field of f and sketch it.

f(x,y)= √(x^2+y^2)

To find the gradient, it's just the partial derivatives for x and y

∇(f) = ∂f/∂x i + ∂f/∂y j

In this case, we have

∂f/∂x = x/√(x^2+y^2) and ∂f/∂y = y/√(x^2+y^2). So

∇(f) = x/√(x^2+y^2) i + x/√(x^2+y^2) j

We can write it as

∇(f) = (xi+yj)/√(x^2+y^2).

This is a unitary vector field everywhere, with the exception of the origin, where it is undefined, where we can see it as the vector xi+yj divided by the magnitude √(x^2+y^2). From the starting point, the direction is outward.

The sketch is given below:

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The 20 ft/sec is the timing of the string when 500 ft of string has been let out for the kite at a height of 300 ft, the wind carrying the kite horizontally away from her at a rate of 25 ft/sec.

Let dd be the real distance among the kite and the female, vv be the vertical distance among the female and the kite, and hh horizontal distance. Since the vertical distance is a constant (v = 300v=300) we understand that:

v^2 + h^2 = d^2 quad Rightarrow quad 300^2 + h^2 = d^2v 2 +h 2 =d 2 ⇒300 2 +h 2 =d 2

wherein dd and hh are capabilities of time tt, this means that that:

2hdfrac = 2ddfrac2h dtdh =2d dtdd

Since the vertical distance is v=300v=300, and the real distance is d = 500d=500, we understand that:

300^2 + h^2 = 500^2 quad h = sqrt = 400300 2 +h 2 =500 2 ⇒h= 500 2 −300 2 =four hundred

We're inquisitive about the price of extrade of the real distance dd so we have:

begin color dfrac &= dfrac cdot h cdot dfrac = dfrac cdot four hundred cdot 25 = color 20 text enddtdd = d1 ⋅h⋅ dtdh = 5001 ⋅four hundred⋅25=20 ft/sec

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Answer:

X=4 Y=28

Step-by-step explanation:

We have our two equations, 2x+4=12 and Y=4x+12
Solve for x of one of the equations so that the repeating (common) variable can be cancelled out.

Using 2x+4=12, we can solve for the x-value and replace it back into y.

2x+4=12
2x=8
x=4

We can replace our new x-value into the other equation, y=4x+12

y=4(4)+12
y=16+12
y=28

So x=4, and y=28

Recursion uses more memory compared to iteration because every time the recursive function is called the function call is stored in stack, The correct option is B

Recursion is the process of defining a problem or the solution to a problem in terms of a simpler version of itself. There two types of recursion the first one is called direct recursion when the second is called indirect recursion.

Therefore recursion is a method of solving problem where the solution depends on solutions to smaller instances of the same problem.

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Approximately 50% percentage of people age 65 or older take at least five prescription medicines daily in the United States.

In the United States, approximately 50% percentage of people aged 65 or older take at least five prescription medicines daily. This figure is based on data from the Centers for Disease Control and Prevention (CDC) which track and analyze the health and healthcare of the US population. The CDC found that in 2015, those ages 65 or older reported taking an average of 14.7 prescriptions per person, which is an increase from the average of 13.7 prescriptions per person in 2010. Of those aged 65 or older, 50% reported taking at least five medications daily, while 25% reported taking at least 10 medications daily. The data also showed that seniors were more likely to take multiple medications if they had chronic conditions such as diabetes, high blood pressure, and heart disease. This highlights the importance of closely monitoring and managing medication use, especially among seniors, to ensure that their medications are appropriate and safe.

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The missing number is equal to 42

Let the missing number be 'x'

Therefore, we have the equation as

[tex]\frac{2}{35} = \frac{1}{30} + \frac{1}{x}[/tex]

Solving this equation further, we have

[tex]\frac{1}{x} = \frac{2}{35} - \frac{1}{30}[/tex]

Taking L.C.M. on R.H.S. side, we have

[tex]\frac{1}{x} = \frac{(2)(30) - (1)(35)}{(30)(35)}[/tex]

[tex]\frac{1}{x} = \frac{60 - 35}{1050}[/tex]

[tex]\frac{1}{x} = \frac{25}{1050}[/tex]

[tex]\frac{1}{x} = \frac{1}{42}[/tex]

On cross multiplying this equation, we get
[tex]x = 42[/tex]

Therefore, we can say that the missing number is equal to 42.

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We can begin by rewriting the problem:

3/4 - 1/2p > 5/4

Let’s solve accordingly through steps:

1. Subtract 3/4

-1/2p > 2/4

2. Divide both sides by the coefficient

-1/2 / -1/2 = p

2/4 / -1/2 = -1

3. Simplify & Switch Signs

p < -1

The answer to Part A is p < -1.

Part B: On a number line, this answer would be graphed by plotting a point at -1 and drawing an arrow that goes to the left direction to show that p is less than -1.

Answer:

You buy the following from Best Buy:

1 new Chromebook for $550, 1 wireless mouse for $20, 1 wireless keyboard for $20

What is the Subtotal:

You use your Elite Members Best Buy credit card to save 6%, how much do you save:

What is the new Subtotal: $

Sales tax is 5%: $

What is the total: $

Step-by-step explanation:

Answer:

A)

Step-by-step explanation :

This question isn't too hard, but you would have to use similar triangles.

Answer:            

Step-by-step explanation:

The z score of a dog of this breed weighs 52 pounds is 0.571. The weight of the dog if z is -0.35 is 45.55 kg. The weight of the dog if z is 0.35 is 50.45 kg.

A z score refers to a numerical measurement that defines a value's relationship to the mean of a group of values. Z-score is measured in terms of standard deviations from the mean. If a Z-score is 0, it indicates that the data point's score is identical to the mean score.

The z score is given by:

z = (x - µ)/σ

where x is the raw score, µ is the mean, and σ is the standard deviation.

In the given case,

x = 52 pounds

µ = 48 pounds

σ = 7 pounds

Hence,

z = (52 - 48)/7 = 0.571

If z = -0.35

Then

-0.35 = (x - 48)/7

x - 48 = -2.45

x = 45.55 kg

Hence, the weight of the dog if z is -0.35 is 45.55 kg.

If z = 0.35

Then

0.35 = (x - 48)/7

x - 48 = 2.45

x = 50.45 kg

Hence, the weight of the dog if z is 0.35 is 50.45 kg.

Note: The question is incomplete. The complete question probably is: The weights of a certain dog breed are approximately normally distributed with a mean of 48 pounds, and a standard deviation of 7 pounds. A dog of this breed weighs 52 pounds. What is the dog's z-score? Round your answer to the nearest hundredth as needed. A dog has a z-score of -0.35. What is the dog's weight? Round your answer to the nearest tenth as needed. pounds A dog has a z-score of 0.35. What is the dog's weight? Round your answer to the nearest tenth as needed. pounds

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Answer:

Step-by-step explanation:

xdd

xddd

xdd

xd

xddd

Answer:

2nd option, [ An expected height of 150 centimeters when the femur has a length of 37.7 ]

Step-by-step explanation:

y is a scale for height

x is a scale for femur length

BUT, the difference between the 2nd and 4th answer is in the words "expected" and "actual."

The reason the correct answer includes the word "expected" is because we are looking at THE LINE OF BEST FIT that is plotted on the graph. This line represents what we expect based on the relationship between the two variables

The dots represent REAL DATA that has been recorded.

Answer: x = 9 (I think)

Step-by-step explanation:

3x - 7 + 7 = 3x

20 + 7 = 27

3x = 27

3x ÷ 3 = x

27 ÷ 3 = 9

x = 9

Answer: 176.79

Step-by-step explanation:

15 (165) / 14

15 times 165 = 2475

2475 / 14 = 176.785

Round up to 176.79

Answer:

11$

Step-by-step explanation:

We will use simultaneous equation

X = hostas

Y = geraniums

6X + 6Y = 138 ----> (first equation)

6X + 4Y = 116 -----> (second equation)

(Substract)

6X + 6Y = 138

6X + 4Y = 116

2Y = 22

Y = 22/2

Y = 11$  

I hope my answer helps you.