Can you help me solve this problem?

The proportion of test takers scored between 6.5 and 8.0 is: P(6.5 <X< 8.0) = 0.218

In this question we have been given that the scores on the biology portion of the mcat are normally distributed with mean 8.0 and standard deviation 2.6

We need to find the proportion of test takers scored between 6.5 and 8.0

We know that the formula for z score is:

z = (X – μ) / σ

where X is the sample value, μ is the mean value and σ is the standard deviation

Here,  μ = 8.0

and σ = 2.6

when X = 6.5

z1 = (6.5 – 8.0) / 2.6

z1 = -0.57692

Using the standard distribution tables, proportion is P1 =  0.282

when X = 8.0

z2 = (8.0 – 8.0) / 2.6

z2 = 0

Using the standard distribution tables, proportion is P2 = 0.5

Therefore the proportion between X of 70 and 130 is:

P(6.5 <X< 8.0) = P2 – P1

P(6.5 <X< 8.0) = 0.5 -  0.282

P(6.5 <X< 8.0) = 0.218

Therefore, the required proportion is 0.218

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Answer:

$9

Step-by-step explanation:

Cost of 24 kg of tomatoes = $216

Cost of 1 kg of tomatoes = 216/24

                                 = $9

Hope it helped you!

The perimeter of square ABCD is 28 units.

The perimeter of a square is the sum of all its sides. In this case, we need to find the perimeter of square ABCD.

The question provides two possible answers: 28 units and 37 units. However, we can only choose one correct answer. To determine the correct answer, let's think step by step.

A square has all four sides equal in length. Therefore, if we know the length of one side, we can find the perimeter.

If the perimeter of the square is 28 units, that would mean each side is 28/4 = 7 units long. However, if the perimeter is 37 units, that would mean each side is 37/4 = 9.25 units long.

Since a side length of 9.25 units is not a whole number, it is unlikely to be the correct answer. Hence, the perimeter of square ABCD is most likely 28 units.

In conclusion, the perimeter of square ABCD is 28 units.

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1. False

2. False

3. True

4. True

5. True

1. CLD does not clear the zero flag (ZF). It is used to clear the direction flag (DF), which determines the direction of string operations.

2. REPNE (or REPNZ) will repeat as long as the zero flag (ZF) is not set. It checks the value of ZF before each iteration and continues until ZF becomes 0.

3. When repeating, the counter is decremented before the string instruction is executed. The counter is usually stored in the CX register and decremented automatically by the string instruction.

4. When repeating CMPS (compare strings), REPNZ (or REPNE) is used to continue repeating while the characters are not equal. It checks the ZF after each iteration and continues until ZF becomes 1.

5. STOS (store string) will initialize an array with whatever value is in the appropriate accumulator register. It stores the value from the accumulator into the destination memory location pointed to by the destination index register.

# Question: Assembly programming and computer architecture for software engineers answers
True/False 1. CLD clears the zero flag (ZF). 2. REPNE will repeat as long as ZF is set. 3. When repeating, the counter is decremented before the string instruction is executed. 4. When repeating CMPS, use REPNZ to continue repeating while the characters are equal. 5. STOS will initialize an array with whatever value is in the appropriate accumulator register.

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Answer:

Andrew wins the round.

Step-by-step explanation:

Seeing as red is negative and black is positive, that would make the equations as follows, in the order of Abby, Ashley, Andrew, and Anna.

\(-9+6 = -3\\7-8 = -1\\-4+4 = 0\\-8-3 = -11\)

Meaning that Andrew wins, as his sum is the highest.

Answer:

Pretty sure its Ashley, but I'm skeptical of it.

Step-by-step explanation:

-7 + 8 = 1

while all the others are negative numbers.

In 2021, 65.6 percent of mothers with children under age 6 participated in the labor force

Percentages are fundamentally fractions with 100 as the denominator. To show that a number is a percentage, the percent symbol (%) is placed next to it. For instance, if you answered 45 out of 100 questions on a test accurately (45/100), you would have gotten a 45% mark.

According to the given information

In 2021, 65.6 percent of mothers with children under age 6 participated in the labor force compared with 75.5 percent of mothers whose youngest child was age 6 to 17.

In 2021, 65.6 percent of mothers with children under age 6 participated in the labor force

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Step-by-step explanation:

If you need any explanation, we can communicate normally

Step-by-step explanation:

the way I understand the description :

C is below B. they are on a kind of straight hill, and there is a straight "road" going up from C to B.

then, at B there is an antenna or other firm of mast going straight up.

therefore, this is not a right-angled triangle with 90 degrees at B (as it would be, if this would be in a flat plane).

but because it goes downhill from B to C the angle is 105 degree.

(a)(i)

now, imagine, there would be a horizontal plane either at B or at C. AB would have a true 90 degree angle with this plane. so, what is the angle of CB with this plane ?

this angle is the "excess" of the 90 degrees, as CB angles down from the horizontal plane at B, or angles up with the same angle from the horizontal plane at C.

what is the "excess" of 105 degrees vs. the standard 90 degrees ? 105 - 90 = 15 degrees.

(a)(ii)

the extended Pythagoras for not right-angled triangles :

c² = a² + b² - 2ab×cos(B)

B being the angle opposite of the Hypotenuse c.

so, we have

c² = 15² + 10² -2×15×10×cos(105) = 225 + 100 - 300×cos(105) =

= 325 - 300×cos(105) = 402.6457135...

c = 20.06603383... ≈ 20 m

A 95% confidence interval for the calorie count of the snack bars is (135.88, 167.24).

We will construct a 95% confidence interval for the calorie count of the snack bars using the given sample data and population standard deviation (σ=24).

Step 1: Calculate the sample mean (x)

x = (149+145+140+160+149+153+131+134+153) / 9

x = 1364 / 9

x = 151.56

Step 2: Find the z-score for a 95% confidence interval

The z-score for a 95% confidence interval is 1.96 (from the standard normal table).

Step 3: Calculate the standard error (SE)

SE = σ / √n

SE = 24 / √9

SE = 24 / 3

SE = 8

Step 4: Calculate the margin of error (ME)

ME = z-score * SE

ME = 1.96 * 8

ME = 15.68

Step 5: Construct the confidence interval

Lower limit = x - ME = 151.56 - 15.68 = 135.88

Upper limit = x + ME = 151.56 + 15.68 = 167.24

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The associated right triangle has one angle θ whose tangent is x/6, and the adjacent side has length 6 while the opposite side has length x.

To evaluate the integral, we use the trigonometric substitution x = 6 tan(θ). Then, dx = 6 sec2(θ) dθ, and substituting in the integral we get:

∫(x^2)/(36+x^2) dx = ∫(36 tan^2(θ))/(36 + 36 tan^2(θ)) (6 sec^2(θ) dθ)

= ∫tan^2(θ) dθ

To solve this integral, we use the trigonometric identity tan^2(θ) = sec^2(θ) - 1, so we get:

∫tan^2(θ) dθ = ∫(sec^2(θ) - 1) dθ

= tan(θ) - θ + C

Substituting back x = 6 tan(θ) and simplifying, we get the final result:

∫(x^2)/(36+x^2) dx = 6(x/6 * √(1 + x^2/36) - atan(x/6) + C)

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The root of f(x) will be (A) -√7.

To find the root of f(x):

Conjugate pair: A root has two forms one positive and one negative.

Example: a + √b, a - √b

Therefore, the root of f(x) will be (A) -√7.

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The correct question is given below:

If a polynomial function f(x) has roots 3 and a square root of 7 what must also be a root of f(x)?

A. negative square root of 7

B. i square root of seven

C. –3

D. 3i

Answer:

IF=HF

Step-by-step explanation:

If you look at them they are equidistant

Answer:

IF=HF

Step-by-step explanation:

The volume of this pipe considering the thickness of the pipe is 154 cubic inches.

The general formula to calculate the volume of a cylindric object such as a pipe is:

In this formula, d represents the diameter and h represents the height.

The external diameter is 6 inches; however, the pipe is 1.25 inches thick, which implies the real internal diameter is 3.5.

Now, let's calculate the volume:

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Answer:

D. 154 cubic inches

Step-by-step explanation:

Answer: I'd say reflection

Answer:

It is a reflection

Step-by-step explanation:

In Geometry, a reflection is known as a flip. A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.

Given:

The point is A(-1,3).

To find:

The coordinates of the final image. If the given point reflected in

(a) x-axis

(b) line y=4.

Solution:

(a)

If a figure reflected across the x-axis, then

\((x,y)\to (x,-y)\)

Using this rule, we get

\(A(-1,3)\to A'(-1,-3)\)

Therefore, the coordinates of the final image are A'(-1,-3).

(b)

If a figure reflected across the line y=4, then

\((x,y)\to (x,-(y-4)+4)\)

\((x,y)\to (x,-y+4+4)\)

\((x,y)\to (x,-y+8)\)

Using this rule, we get

\(A(-1,3)\to A'(-1,-3+8)\)

\(A(-1,3)\to A'(-1,5)\)

Therefore, the coordinates of the final image are A'(-1,5).

The amount of money that Little Squeezer will pay Tony if he delivers 11 pizzas would be =$81

From the table given, without the delivery of pizza, the salary of Tony = $48

For every additional two pizza, $6 is being added. That is;

2 pizzas = $54

4 pizzas = 54+6 = $60

Therefore for every 1 pizza is = $3 to his salary.

That is, 11 pizzas = 78+3 = $81

Therefore,the amount of money that Little Squeezer will pay Tony when a total of 11 pizzas are delivered would be = $81.

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Answer:63.75 :)

Step-by-step explanation:

Answer:

$63.75

Step-by-step explanation:

85 x 75/100

85/1 x 3/4

255/4 - > $63.75

- You should already know how to do this yourself as this is very easy and basic question.

The total cost for a complete replacement of the septic tanks in 20 years is $75,509.70 (approx).

Given that a rural township in central Arkansas has replaced several septic tanks that have an anticipated life span of 24 years for $24,000. Also, they received a grant from the Environmental Protection Agency that matched the cost of the tanks today in order for the tanks to be replaced after their end of life.

Let’s determine the future value of $24,000 at the end of 20 years, where the interest rate is 7.5%.

We will use the formula;

FV = PV × [1 + (i / n)]^(n × t)

Where,

FV = Future Value

PV = Present Value

i = interest rate

t = time in years

n = number of compounding periods per year

The present value of septic tanks, PV = $24,000

The interest rate, i = 7.5%

The time period, t = 20 years

The number of compounding periods per year, n = 1

Substitute the given values in the formula;

FV = 24000 × [1 + (7.5 / 100) ]^(1 × 20)\

FV = 24000 × [1.075 ]^20

FV = $75,509.70

Answer: $75,509.70

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Using algebraic notation, using the letter x for any unknown numbers the statement is written as 2(x + 1).

In algebraic formulations, numbers are represented by letters or alphabets without their numerical values being specified. The fundamentals of algebra taught us how to represent an unknown value using letters like x, y, and z. Here, these letters are referred to as variables. A mathematical expression may have both variables and constants. A coefficient is any value that is introduced before and increased by a variable.

Let us suppose the number = x.

The given statement is, I think of a number, add one, then double the result.

Using the algebraic notation, we can write the statement as follows:

2(x + 1)

Hence, using algebraic notation, using the letter x for any unknown numbers the statement is written as 2(x + 1).

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Answer:123,234,345,132,432,543 and i think thats all

Step-by-step explanation:Hope it helps and have a good week:)

To compute the covariance matrix of centered data matrix X, the following matrix operation can be used: \(cov(X) = (1/(n-1)) X^T X\), where \(X^T\) is the transpose of X.

Given a matrix\($X$\) of centered data with a column for each field in the data and a row for each sample, the covariance matrix of the variables in the data can be computed using matrix operations as:

\($\text{cov}(X) = \frac{1}{n-1}X^TX$\)

where \($n$\) is the number of samples and \($X^T$\) is the transpose of the matrix \($X$\). The matrix multiplication \($X^TX$\) computes the sum of the outer products of the columns of \($X$\), and dividing by \($n-1$\) gives an unbiased estimate of the covariance matrix. Note that the resulting matrix is a symmetric matrix with variances on the diagonal and covariances off the diagonal.

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The ratio of LM to FG is 3:4, so correct option is A.

A triangle is a polygon with three sides, three vertices, and three angles. It is one of the basic shapes in geometry and has many properties that make it a useful and interesting shape to study.

The sum of the interior angles of a triangle is always 180 degrees, which is a fundamental property of triangles.

Triangles also have many interesting properties related to their sides, angles, and areas. For example, the Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse. The area of a triangle can be calculated using the formula 1/2(base x height) or by using various trigonometric functions.

Triangles are important in many areas of mathematics and science, such as in geometry, trigonometry, calculus, and physics. They are also commonly used in architecture, engineering, and design.

If LMN and FGH are similar triangles, then the ratio of their areas is equal to the square of the ratio of their corresponding side lengths.

Let x be the ratio of LM to FG. Then the ratio of their areas is (x²).

So we have:

LMN / FGH = 18 / 32

(x²) = 18 / 32

x² = 9 / 16

x = (3 / 4)

Therefore, the ratio of LM to FG is 3:4, which is option A.

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Answer:

30.75

Step-by-step explanation:

Hope this helps!

Answer:

1. 30

2. x = 0

3. x = 10

4. 11.7

5. 60

Step-by-step explanation:

Answer:

1. 8:5

2. 4:7:9

3. 4:3

4. 1:7

Step-by-step explanation:

1. they both are in 7 times table

2. both in 8 times table

3. 15 times table

4. 10 times table

Therefore , the solution of the given problem of prime factor comes out to be 30 is the smallest integer for the three different prime number.

A prime factor is any non-zero natural integer that has just itself and 1 as its divisors. The first real numbers include 1,2,5,3,7  among others. a quantity that has been repeated to yield a different quantity. For example, we obtain (3) 5 = 15 when we divide 15 by Three and 5. primary components All elements that seem to be prime but aren't composite are referred to be prime factors. 2, 3, and 5 are some prime factors of 30.

Here,

Given :

The lowest three prime numbers can be calculated by

adding them together.

The answer is

=> 2 x 3 x 5 = 30,

since the first 3 prime numbers being 2, 3, and 5.

Thus , 30 is the smallest integer for the three different prime number

Therefore , the solution of the given problem of prime factor comes out to be 30 is the smallest integer for the three different prime number.

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Answer:

carl and ben aint human chief

Step-by-step explanation:

Answer:

1 11/12

because they ain't human chief ant answer

Answer:

Step-by-step explanation:

We must use system of equations:

horses = h     chickens = c

horses have 4 legs & chickens have 2 and there are 120 legs total so to set up the first part of the equation...

4h + 2c = 120

They both have only 1 head each and there are 48 heads total so to set up the second part of the equation...

h + c = 48

Now we combine the equations and solve:

4h + 2c = 120

h + c = 48

Now we solve...

4h + 2c = 120

h = 48 - c         (subtract c on both sides to single out h)

--------------------

4(48 - c) + 2c = 120

192 - 4c + 2c = 120

-192                  -192

----------------------------

-2c = -72           (divide both sides by -2)

c = 36

Now we go back and find the value of h...

h = 48 - c

h = 48 - 36

h = 12

So there are 36 chickens & 12 horses!

The value of x from the equation is 4

These are mathematical expressions that are known to be made of variables, factors, constants, coefficients and terms.

Algebraic expressions are also composed of mathematical to arithmetic operations, such as;

From the information given, we have;

2x+6= 7x - 14

collect the like terms

2x - 7x = -14 - 6

subtract the values

-5x = -20

Make 'x' the subject of formula

x = 4

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