You need to compute the 99% confidence interval for the population mean. How large a sample should you draw to ensure that the sample mean does not deviate from the population mean by more than 2.3

Answer:

find a what?because it dont tell us what to find

Answer:

11/36

Step-by-step explanation:

We have 36 possible outcomes when rolling a pair of dice.

Only 1 outcome gets both 3's. (3 3)

For the sum to be greater than 8, there are 10 outcomes.

(3 6) (4 5) (4 6) (5 4) (5 5) (5 6) (6 3) (6 4) (6 5) (6 6)

The probability is therefore (1+10)/36=11/36.

Answer:

1.) inverse proportion : 1kx = y

2) direct proportion. y = kx

Answer:

y = (2/5)x - 3

Step-by-step explanation:

Brainliest pls

Answer: y = mx + b

y=-3  x=0 and m=2/5

-3 = (2/5)0 + b

Since 2/5(0) is 0, b must be -3

Step-by-step explanation: Since you know the slope and you know one point, all you have to do is plug the slope and the coordinates into the slope-intercept form and solve for b. You can check your answer by finding another point on the line and verifying that the equation works for that point, as well. Add the slope to the given point and you get ( 5 , -1 )

-1 = (2/5)5 - 3

-1 = 2 - 3 -1 = -1 So you know your answer is correct

Answer: 25

Step-by-step explanation:

Answer:

P(~7) = 12/13

Step-by-step explanation:

There are 4 sevens in a normal deck of cards.

Therefore there are 48 cards out of 52 that are not 7.

P(~7) = 48/52 simplified, it is 12/13

The ways to elect the candidates from the total is 462

From the question, we have

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 11 and r = 6

Substitute the known values in the above equation

Total = ¹¹C₆

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 11!/5!6!

Evaluate

Total = 462

Hence, the number of ways is 462

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11.2% of the mass of a water molecule is hydrogen

As water is composed of two parts hydrogen and one part oxygen, the total mass of a single molecule may be determined by ascertaining the following:

The Total Mass of Water = (2 x Mass of Hydrogen) + (1 x Mass of Oxygen)

Total Mass of Water = (2 x 1.01u) + (1 x 16.00u)

Total Mass of Water = 18.02u

Consequently, the overall mass of one molecule of water is determined to be 18.02 atomic mass units (u).

% mass of hydrogen = (mass of hydrogen / total mass of water) × 100

% mass of hydrogen = (2.02u / 18.02u) × 100

% mass of hydrogen = 11.2%

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Step-by-step explanation:

To find the greatest common factor (GCF) of 8, 16, and 40, we can determine the largest number that evenly divides all three of them.

Let's first find the prime factorization of each number:

- 8 = 2 * 2 * 2

- 16 = 2 * 2 * 2 * 2

- 40 = 2 * 2 * 2 * 5

Now, let's identify the common factors by finding the minimum exponent for each prime factor:

- 2 is a common factor with an exponent of 2 (appearing twice in the prime factorization of 8 and 16).

- 5 is not a common factor since it appears only in the prime factorization of 40.

The GCF is obtained by multiplying the common factors with their respective minimum exponents:

GCF = 2^2 = 4

Therefore, the greatest common factor of 8, 16, and 40 is 4.

The probability that if 3 donations are made, all 3 of them can be safely used on blood transfusion with someone that has type A will be D. (0.27 + 0.49)³ = 0.4390

It should be noted that probability simply means the chance that a particular event will occur.

In this case, the probability that if 3 donations are made, all 3 of them can be safely used on blood transfusion with someone that has type A will be:

= (27% + 49%)³

= (0.27 + 0.49)³

= 0.4390

The probability is 0.4390.

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Answer:

No. it is not. Hope this helped!!

Answer:

12

Step-by-step explanation:

Regular polygon is one in which each angle and sides is congruent.

Sum of all the exterior angles of any polygon is 360.

Sum of all the  interior angles of any polygon is (2n-4)*90

where is n is the no. of sides of polygon.

Let n be the no. of sides of polygon required

Therefore,

Sum of all the  interior angles of  polygon = (2n-4)*90

since no of sides of polygon is n

therefore, value of each  interior angles of the polygon = (2n-4)*90/n  (A)

Sum of all the exterior angles of any polygon = 360.

value of each  exterior angles of the polygon = 360/n  (B)

Given that

The interior angle of a regular polygon is five times its corresponding exterior angle   (c)

using the statement A, B and C

(2n-4)*90/n = 5*360/n

1/n is common on both side, hence it gets cancelled.

(2n-4)*90 = 5*360

=> (2n-4) = 5*360 /90 = 20

=> 2n = 20+4 = 24

=> n = 24/2 = 12.

the  number of sides of the polygon is 12

The only true statement about the domain of the given function is:

B. f(x) is negative for all x < -5

The domain of a function is defined as the set of values that we can possibly plug into our function. This set is the x values in a function such as f(x).

Now, we are given the function as:

f(x) = \(\frac{2}{x^{2} } + 3x - 10\)

When x < -5, we have:

f(-4) = \(\frac{2}{(-4)^{2} } + 3(-4) - 10\)

f(-4) = -21.875

This suggests that for all values below x = -5 will result in negative values

When x > 2

f(3) = \(\frac{2}{3^{2} } + 3(3) - 10\)

f(3) = -0.78

Thus, it will get positive for higher values but it can also be negative as seen here.

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Answer:

4p-n+2q-3m is equivalent to 8p-3n+4q-9m

The expression 4(2p+ q) - 3(n+3m) is equivalent to the given expression. which is the correct answer would be an option (C).

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

The expression is given in the question following:

8p - 3n + 4q - 9m

We have to determine the equivalent expression to the given expression

As per option (C), we have

⇒ 4(2p+ q) - 3(n+3m)

Apply the distributive property of multiplication,

⇒ 4 × 2p+ 4 × q  - 3 × n + 3 × m

⇒ 8p + 4q  - 3n + 3m

Rearrange the terms in the above expression,

⇒ 8p - 3n + 4q - 9m

So this expression is the same as the given expression.

Therefore, the expression 4(2p+ q) - 3(n+3m) is equivalent to the given expression.

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The question seems to be incomplete the correct question would be:

Which expression is equivalent to 8p-3n+4q-9m

A. 0

B. 5pn - 5qm

C. 4(2p+ q)-3(n+3m)

D. 4(2p+q)-3(n-3m)

Based on law of sine, the value of angle C is equal to 94.5 degree.

For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,

we have, by law of sines,

\(\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}\)

\(\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}\)

we have, by law of sines,

We will use the law of sines to find c as;

sin c                sin 97.5

--------------- = -------------

14.5                      13.7

(13.7)sin c= 14.5 sin 97.5

sin c =  14.5 sin 97.5 / (13.7)

sin c = - 0.1168

Angle c = 94.5

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Answer:

Amadi: 20 years old

Chima : 4 years old

Answer:

There are 3.28084 feet per meter. So if you want to convert meters to feet using your own calculator, just multiply your number of meters by 3.28084.

Answer:

57327392393629324

Step-by-step explanation:

There are 16 quarters in the bank

Let the number of quarters be represented as q

Let the number of dimes be represented as d

Note that:

1 dime = $0.1

1 quarter = $0.25

The total value of quarters and dimes is $5.20

This can be interpreted mathematically as:

0.1d + 0.25q = 5.20.................(1)

If the quarters were dime and the dime were quarters, the total coins would be $4.60

This means that:

q = d

d = q

0.1q + 0.25d = 4.60

0.25d + 0.1q = 4.60...........(2)

Multiply equation (1) by 25 and equation (2) by 10

2.5d + 6.25q = 130..........(3)

2.5d + q = 46..........(4)

Subtract equation (4) from equation(3)

5.25q = 84

q = 84/5.25

q = 16

Substitute q = 16 into equation (1)

0.1d + 0.25(16) = 5.20

0.1d + 4 = 5.20

0.1d = 5.20 - 4

0.1d = 1.2

d = 1.2 / 0.1

d = 12

Therefore, there are 16 quarters and 12 dimes in the bank

The time it takes for the stone to fall in the air is 7 seconds, and it takes 5 seconds for the stone to fall in the water in the seabed.

The average speed of the stone in air is shown here as 16 m/s.

The average speed of the stone in water is 3 meters per second.

The total distance from the top of the cliff to the seabed is 127 meters.

Total fall time = 12 seconds

Therefore

Let t1 represent the time spent by the stone in the air and

t2 = time spent by the stone in water

Now using the equations of motion we get :

Therefore, t₁ + t₂ = 12 s........(1)

16·t₁ + 3·t₂ = 127............(2)

From (1) t₁ = 12 - t₂

16×(12 - t₂) + 3×t₂ = 127

13t2 = 65 is the result.

and t2 equals 5 seconds

t1 = 12 - t2 = 12 - 5 = 7 sec

The time it takes for the stone to fall in the air is t1 = 7 seconds.

The time it takes for the stone to fall into the water is t2 = 5 seconds.

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9514 1404 393

Answer:

Step-by-step explanation:

The rhombus has several relevant properties.

The last of these relations can be used to find x:

  7x° = 35°

  x = 35°/7° = 5

The second of the relations can be used to find y:

  3y° = 90°

  y = 90°/3° = 30

The first of the relations can be used to find z:

  10z -8 = 5z +32

  5z = 40 . . . . . . . . . add 8-5z

  z = 40/5 = 8

This shows that 76 cookies will be made with the total pounds of cookies

Fractions are written as a ratio of two integers. Given the following parameters

Total pounds of cookies made = 4 3/4 pounds

Total pounds of cookies made = 19/4 pounds

If he uses 1/16 pound of dough for each cookie, the total amount of cookies made is given;

Number of cookies = 19/4 ÷ 1/16

Number of cookies = 19/4 * 16/1

Number of cookies = 19 * 4

Number of cookies = 76

This shows that 76 cookies will be made with the total pounds of cookies

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Answer: Log9,(11/7)^4

Step-by-step explanation:

according to the rules of logarithm

1)Subtraction sign(-) becomes division(÷),while addition(+)becomes multiplication (x)

2) the number in front of the log figure becomes an indices

Answer:

log9 (11/7)4

Step-by-step explanation:

got it right on the test

Answer:

the Y intersection will be positive.

example

Y = 8X +16

-12

Y= 8x+4

Answer:

they are both negative numbers and -14 < -8 (less than)

Step-by-step explanation:

There are 4 strings over the alphabet {a, b, c, d} that satisfy the conditions of length 4, beginning with a or c, and ending with b or c.

To find the number of strings over the alphabet {a, b, c, d} that satisfy the given conditions, we can use the counting method. Let's consider each condition separately:

Length 4: The number of strings of length 4 over the alphabet {a, b, c, d} is 4 * 4 * 4 * 4 = 256.

Begins with a or c: There are 2 choices for the first character (a or c).

Ends with b or c: There are 2 choices for the last character (b or c).

The number of strings that satisfy all three conditions is the product of the number of choices for each condition:

2 * 2 = 4

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Answer: 6 weeks

Step-by-step explanation:

500-138 = 362

362/60 = 6.03

aprox 6 weeks.

The frequency of the wave is 20 Hz.

We have,

The formula for velocity is given as:

velocity = wavelength x frequency

Rearranging this formula gives:

frequency = velocity/wavelength

Substituting the given values:

frequency = 120 m/s / 6m

frequency = 20 Hz

Therefore,

The frequency of the wave is 20 Hz.

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Answer:

8 1/10

Step-by-step explanation:

mark brainliest if correct