Assume that children's IQs follow a normal distribution with mean 100 and standard deviation of 9. Find the probability that a randomly selected child has IQ above 110.

Answer:

y= 3x-1

Step-by-step explanation:

Inequalities specify the relationship between two values that are not equal. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

Relationships between two expressions that aren't equal to one another are known as inequalities. Inequalities are represented by the symbols, >,,, and. reads "7 is higher."

Any value bigger than 4 can be x according to an inequality like x > 4 x> 4 x> 4x, is greater than, 4. On a number line, we can display this by darkening the digits above 4 and placing an open circle on the number 4.

Many straightforward inequalities can be resolved by adding, taking away, multiplying, or dividing both sides until the variable is all that remains. However, these factors will shift the direction of inequality: Using a negative number to multiply or divide both sides.

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Answer:

Option C: 6(7 * 7)

Step-by-step explanation:

There are six faces of the cube. Since each face is 7 by 7 units, there are 6(7 *7) units total.

The measure of the angles are:: x = 20. so, angles are, 20°, 40°, 120°.

Here, we have,

we know that,

The sum of the angles in a triangle add to 180

x+2x+6x = 180

Combine like terms

9x= 180

Divide by 9

9x/9 = 180/9

x = 20.

Hence, The measure of the angles are:: x = 20. so, angles are, 20°, 40°, 120°.

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complete question:

The sum of the angle measures in a triangle is 180°. The angles of a certain triangle measure x°, 2x°, and 6x°. Solve for x.

y=3x-2

That’s the answer

Answer:

384cm2

Step-by-step explanation:

surface area

12×12=144

10×12/2=60

60×4=240

240+144=384cm2

The equation of a circle with diameter endpoints of (13, -1) and (15, 9) will be x² + y² - 28x - 8y + 186 = 0.

Given that:

Endpoints of diameter, (13, -1) and (15, 9)

The equation of the circle when endpoints of diameter are given is written as,

(x - x₁)(x - x₂) + (y - y₁)(y - y₂) = 0

The equation of the circle is calculated as,

(x - 13)(x - 15) + (y + 1)(y - 9) = 0

x² - 28x + 195 + y² - 8y - 9 = 0

x² + y² - 28x - 8y + 186 = 0

The equation of a circle with diameter endpoints of (13, -1) and (15, 9) will be x² + y² - 28x - 8y + 186 = 0.

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Answer:

214 Liters converted to gallons would be 56.53 gallons there are more decimals after but those are the two main decimals.

Step-by-step explanation:

Answer:

a) -73°C, -15°C, -12°C, 0°C, 16°C, 37°C, 96°C

a) 96°C, 37°C, 16°C, 0°C, -12°C, -15°C, -73°C

b) -36°C, -15°C, -7°C, -1°C, 0°C, 20°C, 23°C

b) 23°C, 20°C, 0°C, -1°C, -7°C, -15°C, -36°C

Answer:

980 cm

Step-by-step explanation:

Each meter is 100 cm. Multiply 9.8 by 100 to get 980

Answer: 18, 28, 38, 48, 58

Step-by-step explanation:

Answer:

18, 28, 38, 48, 58

Step-by-step explanation:

I think this is pretty self explanatory.

Answer:

1 adult ticket and 7 student tickets were purchased

Step-by-step explanation:

let a represent number of adult tickets purchased and s the number of student tickets purchased, then

a + s = 8 ( subtract s from both sides )

a = 8 - s → (1) ← based on total tickets purchased

10.5a + 7.25s = 61.25 → (2) ← based on cost of tickets

substitute a = 8 - s into (2)

10.5(8 - s) + 7.25s = 61.25

84 - 10.5s + 7.25s = 61.25

84 - 3.25s = 61.25 ( subtract 84 from both sides )

- 3.25s = - 22.75 ( divide both sides by - 3.25 )

s = 7

substitute s = 7 into (1)

a = 8 - 7 = 1

that is 1 adult ticket and 7 student tickets were purchased

Given:

The graph of a function.

As \(x\to -5^-, f(x)\to \_\_\_\).

As \(x\to -5^+, f(x)\to \_\_\_\)

To find:

The correct values for the given blanks.

Solution:

From the given graph it is clear that the function approaches to infinity as x approaches to -5 from the left side. So,

As \(x\to -5^-, f(x)\to \infty\).

From the given graph it is clear that the function approaches to negative infinity as x approaches to -5 from the right side. So,

As \(x\to -5^+, f(x)\to -\infty\).

Therefore, the correct option (d).

Answer:

the answer is c I hope this helps:)

Answer:

Step-by-step explanation:

since the data is already arranged in ascending to descending u don't have to change.

upper quartile (Q3) = 3(n + 1)/4              (n means no of data)

=3(10 + 1)/4

=3*11/4

=33/4

=8.25

=8 th term + 0.25(9 th term - 8 th term)

=11 + 0.25(13 - 11)

=11 + 0.25*2

=11 + 0.5

=11.5

Answer:x=5 or x=−5

Step-by-step explanation:

4x^2−100=0

Step 1: Add 100 to both sides.

4x^2−100+100=0+100

4x^2=100

Step 2: Divide both sides by 4.

4x^2/4=100/4

x^2=25

Step 3: Take square root.

x=±√25

x=5 or x=−5

Answer:

x=5 or x=−5

Among the given statements, the true statements are:

In the question, we are asked for the true statements among the given options:

1. All even numbers are composite numbers.

Answer - False

Reason - 2 is an even number, which is not a composite number.

2. If a number is divisible by 3 and 4, then it is divisible by 12.

Answer - True

Reason - If any number, n, is divisible by any two numbers, x and y, then it is also divisible by their LCM, and the LCM of 3 and 4 is 12.

3. All prime numbers are odd numbers.

Answer - False

Reason - 2 is a prime number, which is not odd.

4. The number 119 is a composite number.

Answer - True

Reason - The number 119 is a composite number, as it is not a prime number, as it is divisible by 7 and 17 too, other than 1 and itself.

5. 12 is a factor of 6.

Answer - False.

Reason - When 6 is divided by 12, the integral quotient that we get is 0, and the remainder is 6, but for any number x, to be a factor of y, on dividing y by x, the remainder should be 0.

6. If a number is divisible by 6 and 4, then it is also divisible by 4.

Answer - False

Reason - If any number, n, is divisible by any two numbers, x and y, then it is also divisible by their LCM, and the LCM of 6 and 4 is 12.

Thus, a number divisible by 6 and 4 is divisible by 12 but not necessarily by 24. Example 12 is divisible by both 6 and 4 but not divisible by 24.

Thus, among the given statements, the true statements are:

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Answer:

The decision Rule is  

Reject the null hypothesis

The conclusion is  

There is sufficient evidence to states that  tim and per's mutations lead to different mean copulation duration.

The  test statistics is  \(z =-2.2187\)

Step-by-step explanation:

From the question we are told that

    The Mutation Mean copulation duration is for  per \(\= x_1 = 17.5\)

     The Mutation Mean copulation duration is for tim \(\= x_2 = 19.9\)

     The Mutation Standard deviation copulation duration for is  per \(s _1 = 3.37\)

      The Mutation Standard deviation copulation duration for is   tim \(s _2 = 2.47\)

       The sample size for per is  \(n_1 = 14\)

       The sample size for tim is  \(n_2 = 17\)

The null hypothesis  is  \(H_o : \mu_1 = \mu_2\)

The alternative  hypothesis  is  \(H_a : \mu_1 \ne \mu_2\)

Generally the test statistics is mathematically represented as

      \(z = \frac{\=x_1 - \= x_2 }{ \sqrt{\frac{s_1^2 }{n_1} + \frac{s_2^2 }{n_2} } }\)

=>   \(z = \frac{17.5 - 19.9 }{ \sqrt{\frac{3.37^2 }{14} + \frac{2.47^2 }{17} } }\)

=>   \(z =-2.2187\)

From the z table  the area under the normal curve to the left corresponding to    -2.2187  is

    \(P(Z < -2.2187) = 0.013254\)

Generally the p-value is mathematically represented as

      \(p-value = 2 * P(Z <-2.2187 )\)

=>    \(p-value = 2 * 0.013254\)

=>    \(p-value = 0.02651\)

Let assume that the level of significance is  \(\alpha = 0.05\)

So

 From the value  obtained we see that \(p-value < \alpha\) hence  

The decision Rule is  

Reject the null hypothesis

The conclusion is  

There is sufficient evidence to states that  tim and per's mutations lead to different mean copulation duration.

Answer:

Step-by-step explanation:

Your calculator or a spreadsheet can help you do this. The rules of exponents apply.

  (10^a)(10^b) = 10^(a+b)

__

(2×10^8)(2×10^-2) = 4×10^6

40×10^5 = 4×10^6

40^6 = 4.096×10^9

400,000 = 4×10^5

1.2×10^9/3×10^2 = 4×10^10   or  1.2×10^9/(3×10^2) = 4×10^6 (see note)

_____

Note: A multiplier that is a power of 10 is one factor of a product. A product does not go into the denominator of a fraction unless it has parentheses around it. a/bc = (a/b)c ≠ a/(bc) (This is a consequence of the Order of Operations.)

In the given equation, We can start by isolating the square root term on one side of the equation. The answer is {-2, 10}.

x + 6 - 9 = \(\sqrt{2x+29}\)

Simplifying the left-hand side:

x - 3 = root(2x + 29)

Squaring both sides of the equation to eliminate the square root:

(x - 3)^2 = 2x + 29

Expanding the left-hand side:

\(x^2\) - 6x + 9 = 2x + 29

Moving all the terms to one side of the equation:

\(x^2\) - 8x - 20 = 0

We can now use the quadratic formula to solve for x:

x = (-b ± sqrt(\(b^2\) - 4ac)) / 2a

where a = 1, b = -8, and c = -20.

Substituting these values into the formula, we get:

x = (-(-8) ± sqrt(\((-8)^2\) - 4(1)(-20))) / 2(1)

Simplifying the equation:

x = (8 ± sqrt(144)) / 2

x = (8 ± 12) / 2

So, we have two possible solutions:

x1 = 10

x2 = -2

Thus, the answer is {-2, 10}.

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The line of symmetry from the graph of the absolute value function is given as follows:

x = 1.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

The line of symmetry for the absolute value function modeled above is given as follows:

x = h.

The coordinates of the vertex of the graphed linear function are given as follows:

(1, -1).

Hence the line of symmetry for the function graphed is given as follows:

x = 1.

This is because the x-coordinate of the vertex of the function is of x = 1.

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Answer:

add the product of 20×2 to the product of 8×2

Step-by-step explanation:

that will give u 40+ 16 Which is equal to 56

Answer:

adding the product of 20 × 2 to the product of 8 × 2

Step-by-step explanation:

28 × 2=(20 × 2) + (8 × 2)= 40+16=56

the next step as above is:

Answer:

13.27 cm

Step-by-step explanation:

I am using (xy) to mean the length of the side xy

7^2 + (xy)^2 = 15^2

49 + (xy)^2 = 225

(xy)^2 = 225-49

(xy)^2 = 176

Side (xy) = sqrt(176) = 13.2664991614 = 13.27 cm

Answer:

13.25

Step-by-step explanation:

1. you have to subract the cost of the drink:

94.25-1.50=92.75

2.you have to divide to get the individual cost of pizzas by doing

92.75÷7=13.25

so therefore your answer is 13.25 per pizza

Answer:

The balance in the account after 3 years is approximately $2313.94.

Step-by-step explanation:

The formula for calculating the balance in a continuously compounded account is:

B = Pe^(rt)

Where:

B = balance

P = principal

e = Euler's number (approximately 2.71828)

r = annual interest rate (as a decimal)

t = time in years

Using the given values, we have:

P = $2000

r = 0.051 (5.1% expressed as a decimal)

t = 3

Plugging these values into the formula, we get:

B = 2000e^(0.051*3)

B = 2000e^(0.153)

B = $2313.94 (rounded to the nearest cent)

Therefore, the balance in the account after 3 years is approximately $2313.94.

Answer:

I think the answer will be:- m = -4 but I'm not sure.

Answer:

My first thought is it's saying "try to understand" but also understand is two words put together so if it's divided by 2 it's stand under? not sure, sorry