Solve for z in the proportion.

1/4 = 9/Z Z= ?

Answer:

1.0986

Step-by-step explanation:

The probability that a student scores between 450 and 600 on the SAT math section is approximately 0.4147 or 41.47%.

To find the probability that a student scores between 450 and 600 on the SAT math section, we need to use the properties of the normal distribution. We know that the mean is 511 and the standard deviation is 110.

First, we need to standardize the values of 450 and 600 using the formula:

z = (x - μ) / σ

where x is the value we want to standardize, μ is the mean, and σ is the standard deviation.

For 450:

z = (450 - 511) / 110 = -0.55

For 600:

z = (600 - 511) / 110 = 0.81

Next, we need to find the area under the normal curve between these two standardized values. We can use a table or a calculator to find that the area between z = -0.55 and z = 0.81 is approximately 0.4147.

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Answer:

no se si lo necesitas en español

Step-by-step explanation:

Al darse cuenta de que

10

=

7

(

1

)

+

3

,

17

=

7

(

2

)

+

3

etc.

Una secuencia aritmética es aquella en la que alguna diferencia constante entre los números en una secuencia le da un patrón para llegar al siguiente número no listado en la secuencia.

En este caso, la diferencia es

7

. Cuando uno trabaja al revés y resta

7

desde

10

, el resultado es

3

. En el

0

a término, asumimos que

norte

>

0

para series y secuencias.

Asi que,

3

es el

0

th término, dándonos la intersección con el eje y, por así decirlo. Ahora simplemente tendríamos que reconocer que si incrementamos

norte

integralmente, y tenemos una diferencia de

7

de término a término, esa es la operación

7

norte

.

Entonces, la secuencia aritmética se generaría como:

a

0

=

3

+

7

(

0

)

=

3

a

1

=

a

0

+

7

(

1

)

=

10

a

2

=

a

1

+

7

(

1

)

=

a

0

+

7

(

1

)

+

7

(

1

)

=

17

a

3

=

a

2

+

7

(

1

)

=

a

1

+

7

(

1

)

+

7

(

1

)

=

a

0

+

7

(

1

)

+

7

(

1

)

+

7

(

1

)

=

24

etcétera. Cada término tiene

a

0

dentro de él, agregado a

7

veces el índice actual indicado por

a

norte

. Entonces, solo tenemos la definición recursiva:

a

norte

=

a

norte

-

1

+

7

o la definición general:

a

norte

=

3

+

7

norte

Answer:

78°

Step-by-step explanation:

you have to add it up and then divide after multiply

Answer:

18

Step-by-step explanation:

First we need to know how many vehicles they can wash in a minute.

1. So you do 10/45. You get 4.5

2. Now that you know that they wash 1 vehicle in 4.5 minutes, you mulitply that by 4. And you get 18.

Hope this helps! :D

answer:

7.5

I'm not good at don't hate me pls???

Answer:

Answer D.

Step-by-step explanation:

Because all the other tables don't show enough lunch combinations for the students.

The confidence interval is  (28 - 13.919) (μ1−μ2)< (28 + 13.919).

To find the 90% confidence interval estimate of the difference between the means of two populations, you can use the following formula:

CI = \((x1 - x2) \pm z * \sqrt((s1^2 / n1) + (s2^2 / n2))\)

Where:

Given the following data:

n1 = 7, x1 = 395, σ1 = 19

n2 = 31, x2 = 367, σ2 = 25

First, let's calculate the z-score for a 90% confidence level. Since it's a two-tailed test, we need to find the z-score that corresponds to an alpha level of (1 - 0.9)/2 = 0.05.

Using a standard normal distribution table or calculator, we find that the z-score for a 90% confidence level is approximately 1.645.

Now we can substitute the values into the formula:

CI = (395 - 367) ± 1.645 * \(\sqrt((19^2 / 7) + (25^2 / 31))\)

CI = 28 ± 1.645 *\(\sqrt((361 / 7) + (625 / 31))\)

CI = 28 ± 1.645 * \(\sqrt(51.571 + 20.161)\)

CI = 28 ± 1.645 *\(\sqrt(71.732)\)

CI = 28 ± 1.645 * 8.468

CI = 28 ± 13.919

Therefore, The estimated difference between the means of the two populations with a 90% confidence level is (28 + 13.919), which can be simplified as 14.081 to 41.919.

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Answer:

t = -24

Step-by-step explanation:

\(\frac{4t}{4}=4\left(-6\right)\\t=-24\)

Answer: 6

Step-by-step explanation:

1.75 X 8 = 14

20-14=6

Try that.

Answer:

I don't know the exact answer

Step-by-step explanation:

But it is non-Linear. Because it isn't a straight line.

Hope this helps some

Answer:

3x + 4 = 21

3x = 17

x = 5.67

Answer:

In its exact form, the answer you will get is 17/3

Step-by-step explanation:

Move all terms that aren't x terms to the right side.

Hope this helps you! Have a nice evening and good luck!

The blanks in each statement about the line segment should be completed as shown below.

Since we know U is the midpoint, we can say TU=8x + 11 substituting in our values for each we get:

8x + 11 = 12x - 1

Solve for x

We now want to solve for x.

−4x+11=−1

−4x = -12

x= 3

Solve for TU, UV, and TV

This is just the first part of our question. Now we need to find TU, UV, and TV. Lets start with TU and UV.

TU=8x+11 We know that x=3 so let’s substitute that in.

TU=8(3)+11

TU= 35

We will do the same for UV. From our knowledge of midpoint, we know that TU should equal UV, however let’s do the math just to confirm.

UV=12x−1 We know that x=3 so let’s substitute that in.

UV=12(3)−1

UV= 35

Based on the segment addition postulate, we have:

TU+UV=TV

35+35=TV

TV= 70

Find the detailed calculations below;

TU = UV

8x + 11 = 12x - 1

8x + 11 - 11 = 12x - 1 - 11

8x = 12x - 12

8x - 12x = 12x - 12 - 12x

-4x = -12

x = 3

By using the substitution method to substitute the value of x into the expression for TU, we have:

TU = 8x + 11

TU = 8(3) + 11

TU = 24 + 11

TU = 35

By applying the transitive property of equality, we have:

UV = TU and TU = 15, then UV = 35

By applying the segment addition postulate, we have:

TV = TU + UV

TV = 35 + 35

TV = 70

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The answer is g(f(x)) =(x+6)(x+2)

From the question, we have

f(x) = x + 3 and g(x) = x² + 2x - 3

g(f(x)) = g(x + 3)

=(x + 3)² + 2(x + 3) - 3

=x² + 9+6x+2x+6-3

=x² + 8x+12

=x² + 6x+2x+12

=(x+6)(x+2)

The answer is g(f(x)) =(x+6)(x+2)

Multiplication:

Mathematicians use multiplication to calculate the product of two or more numbers. It is a fundamental operation in mathematics that is frequently utilized in everyday life. When we need to combine groups of similar sizes, we utilize multiplication. The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.

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Answer:

y=3x-6

Step-by-step explanation:

if the y int is (0,-6),

b in the equation y=mx+b is -6

if the slope is 3, m in the equation y=mx+b is 3

so, the equation is y=3x-6

Let r be a partial order on set S, and let t be a subset of S. If a and a' are both elements of t, where a is the greatest element and a' is a maximal element, then it can be proven that a = a'.

To prove that a = a', we consider the definitions of greatest and maximal elements. The greatest element in a set is an element that is greater than or equal to all other elements in that set. A maximal element, on the other hand, is an element that is not smaller than any other element in the set, but there may exist other elements that are incomparable to it.

Given that a is the greatest element in t and a' is a maximal element in t, we can conclude that a' is not smaller than any other element in t. Since a is the greatest element, it is greater than or equal to all elements in t, including a'. Therefore, a is not smaller than a'.

Now, to prove that a' is not greater than a, suppose by contradiction that a' is greater than a. Since a' is not smaller than any other element in t, this would imply that a is smaller than a'. However, since a is the greatest element in t, it cannot be smaller than any other element, including a'. This contradicts our assumption that a' is greater than a.

Hence, we have shown that a is not smaller than a' and a' is not greater than a, which implies that a = a'. Therefore, if a is the greatest element and a' is a maximal element in t, then a = a'.

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The height of the cylinder is 4 feet.

The volume of a cylinder can be found as follows;

volume of a cylinder = base area × height

Therefore,

base area = πr²

volume of the cylinder = 48π ft³

base area = 12π ft²

Therefore, let's find the height of the cylinder as follows:

48π = 12π × h

divide both sides of the equation by 12π

h = 48π / 12π

h = 4 ft

Therefore,

height of the cylinder  = 4 feet

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Step-by-step explanation:

angle e = 82(opp angles)

take ∆aef, angle a is bisected. angle eaf = 45, angle e = 82.

so angle efa = 180-127= 53

b° = 90-53= 37°

take ∆ adf .

a+90+53= 180

a+143=180

a = 37°

To graph the inequality 2y - 4x < 8, we can start by isolating the y variable on one side of the inequality. To do this, we add 4x to both sides:

An explanation graph is what?

A graph is a representation of the relationship between two variables that are normally measured along one of a pair of axes at right angles.

2y - 4x < 8

2y < 4x + 8

Next, we divide both sides by 2 to get y by itself:

y < 2x + 4

To graph this inequality, we can start by plotting the y-intercept, which is the point where x = 0. In this case, y = 2(0) + 4 = 4, so the y-intercept is (0, 4). Next, we can find the slope of the line, which is -2.

To graph the inequality -4y > -x + 12, we can start by isolating the y variable on one side of the inequality. To do this, we add x to both sides:

-4y > 12 - x

Next, we divide both sides by -4 to get y by itself:

y < -3 + (1/4)x

To graph this inequality, we can start by plotting the y-intercept, which is the point where x = 0. In this case, y = -3 + (1/4)(0) = -3, so the y-intercept is (0, -3). Next, we can find the slope of the line, which is (1/4).

The equation | x + 3 |= y represent a vertical line with x = -3

The equation |2x – 6| + 2 = y represent a V shape with the vertex at (-3,2)

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The reason for why the confidence intervals help researchers attain their purpose of using a sample to understand a population is given below .

In the question ,

we have been asked how does the confidence interval help researchers to attain the purpose of using a sample to understand a population ,

we know that , the confidence interval is calculated from an estimate of how far away our sample mean is from actual population mean .

the confidence interval are useful because ,

(i) by calculating the confidence intervals around any data we collect, we have additional information about the likely values we are trying to estimate .

(ii) they make data analyses richer and help us to make more informed decisions about the research questions .

Therefore , the reason how confidence interval helps is mentioned above.

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Answer:

$500.92

Step-by-step explanation:

9514 1404 393

Answer:

  n = 22 1/2

Step-by-step explanation:

  1/5(n -10) = 2 1/2 . . . . simplify

  n -10 = 12 1/2 . . . . . . . multiply by 5

  n = 22 1/2 . . . . . . . . . .add 10

Answer: y=x+6

Step-by-step explanation:

Use equation y-y1= m(x-x1)

plug-in points and solve for y

y-9=1(x-3)

y=x+6

How much tax will you pay? You will pay $25.20 worth of tax.

What is the total amount? The total amount is $340.20.

Answer:

Tax that will be paid: $25.20

Total Cost for tickets(including tax): $340.20

Step-by-step explanation:

I'm positive this is the answer.

(:

To solve this problem, we need to use the formula for the z-score:z = (x - μ) / (σ / sqrt(n)), where x is the sample mean (which is the average score in 16 selected games), μ is the population mean (which is 43.06 points), σ is the population standard deviation (which is 15 points), and n is the sample size (which is 16).

Given the average score in the NFL is 43.06 points with a standard deviation of 15 points. Since we are looking at the average of 16 selected games, we need to calculate the standard error, which is the standard deviation divided by the square root of the sample size (in this case, 16):

Standard error = 15 / √16 = 15 / 4 = 3.75

Now, we will calculate the z-score for 38 points, which represents how many standard errors 38 points is away from the average score:

Z-score = (38 - 43.06) / 3.75 = -1.35

Using a z-score table or calculator, we find the probability of a z-score being less than -1.35 is approximately 0.0885 or 8.85%.

Since we want the probability that the average of 16 selected games scored larger than 38 points, we need to find the complement of this probability:

Probability (average score > 38) = 1 - 0.0885 = 0.9115 or 91.15%

So, the probability that the average of 16 selected games scored larger than 38 points is approximately 91.15%.

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According to the empirical rule, the observations in a data set that can be reasonably approximated by a normal curve lie within two standard deviations of the mean is 95% .

The empirical rule, also known as the 68-95-99.7 rule or the three-sigma rule, is a statistical guideline that describes the approximate distribution of data that can be reasonably approximated by a normal curve. The rule states that:

Approximately 68% of the data falls within one standard deviation of the mean.

Approximately 95% of the data falls within two standard deviations of the mean.

Approximately 99.7% of the data falls within three standard deviations of the mean.

In other words, if a set of data is normally distributed (meaning it follows a bell-shaped curve), we can use the empirical rule to estimate the proportion of the data that falls within a certain range of values.

For example, let's say we have a data set that has a mean of 50 and a standard deviation of 10. Using the empirical rule, we can estimate that approximately:

68% of the data falls between 40 and 60 (one standard deviation from the mean)

95% of the data falls between 30 and 70 (two standard deviations from the mean)

99.7% of the data falls between 20 and 80 (three standard deviations from the mean)

It's important to note that the empirical rule is only an approximation, and it only applies to data that is approximately normally distributed. In some cases, the actual distribution

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The resulting regression was predicted GPA is 3.1 Predict the outcome of one variable from the outcome of a second variable.

The variable we are predicting is called the reference variable and is denoted as Y. The variable on which the prediction is based is called the predictor and is denoted as X. The magnitude of the correlation coefficient indicates the strength of the association. A prediction is a statement intended to tell you something about the future.

Predicted grades are qualifying grades that an applicant's school or college is expected to achieve under favorable circumstances. These predicted grades are used by colleges as part of the admissions process to help understand an applicant's potential. The expected result of an experiment is derived from a hypothesis or theory. This is a guess at the possible outcome of the scenario.

GPA= 3.1+3.6+1.6+3.1+4.1/ 5= 15.5/5 = 3.1

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Numbering starts from the leftmost figure.

\(.\)

1) Opposite sides are equal $\implies$ quadrilateral is a parallelogram. (Can be proven using basic congruency theorems)

2)

Opposite sides are parallel $\implies$ trapezium.

But the other pair of sides are not parallel, hence in the general case this is not a parallelogram but is a trapezium with two equal sides.

3) One pair of opposite sides are congruent and parallel $\implies$ this is a parallelogram.

Proof: Join two vertices and you get that the two triangles formed are congruent.

4)

Diagonals are bisected at their intersections $\implies$ Quadrilateral is a parallelogram.

Show that the two opposite little triangles are congruent by using SAS test (or whatever you call it)

So the figure which is not a parallelogram is 2.

The expression is equivalent is 6x/4 + 24y/12

Algebraic expressions are described as expressions composed of variables, terms, factors, constants, and coefficients.

These expressions also consisting of mathematical operations, such as;

Given the expression;

1/4(3x+4y) + 3(1/4x+ 2/3y)

expand the bracket

3x/4 + 4y/4 + 3/4x + 3/3y

collect like terms

3x/4 + 3/4x + 4y/4 + 3/3y

add like terms

3x + 3x/4 +  12y + 12y /12

add the numerators

6x/4 + 24y/12

Hence, the expression is 6x/4 + 24y/12

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The cost of direct labor per unit is $5.628 per apple.

To calculate the cost of direct labor per unit, we need to determine the total labor hours required to produce one unit of output and then multiply it by the wage rate.

Let's denote the labor hours required for the first resource as "L₁" and the labor hours required for the second resource as "L₂".

The first resource has a capacity of 2.1 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the first resource per unit of output are:

L₁ = 1 apple / (2.1 apples/hour) = 0.4762 hours/apple (rounded to 4 decimal places)

The second resource has a capacity of 4.4 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the second resource per unit of output are:

L₂ = 1 apple / (4.4 apples/hour) = 0.2273 hours/apple (rounded to 4 decimal places)

Now, let's calculate the total labor hours required per unit:

Total labor hours per unit = L₁ (first resource) + L₂ (second resource)

= 0.4762 hours/apple + 0.2273 hours/apple

= 0.7035 hours/apple (rounded to 4 decimal places)

Finally, to calculate the cost of direct labor per unit, we multiply the total labor hours per unit by the wage rate:

Cost of direct labor per unit = Total labor hours per unit * Wage rate

= 0.7035 hours/apple * $8/hour

= $5.628 per apple (rounded to 3 decimal places)

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The boy has a choice from among 2•3•8•2 = 96 outfits.