Suppose that a batch of 100 items contains 6 that are
defective and 94 that are not defective.
Let X be the number of defective items in a randomly selected
sample of 10 items from the
batch.
4. Suppose that a batch of 100 items contains 6 that are defective and 94 that are not defective. Let X be the number of defective items in a randomly selected sample of 10 items from the batch. (a) F

A white child is predicted to weigh more than a nonwhite child, holding the other factors in the first equation fixed. To determine the exact weight difference, one would need specific data from the given study.

Based on the information provided, it is not possible to give a specific answer to how much more a white child is predicted to weigh than a nonwhite child, holding other factors constant. However, if there is a difference in weight between the two groups, and all other factors are held constant, then the difference is statistically significant. This means that the difference is unlikely to have occurred by chance and is therefore meaningful. Further analysis and data would be needed to determine the exact difference in weight between white and nonwhite children. If the difference is statistically significant, it implies that the observed difference is unlikely to be due to chance alone and may indicate a genuine effect. In order to assess statistical significance, it is important to examine the p-value and confidence intervals associated with the weight difference between the two groups.

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Answer:

10.7 also 10 7/10

Step-by-step explanation:

Answer:

1,320 liters

Step-by-step explanation:

First, I multiplied 22 times 60 minutes, because that is how long an hour is, and when you multiply you get 1,320. I hope this helps :)

awnser:

1320?

Step-by-step explanation:

S = {1 - 2x², 1 + 3x - x², 1 + 2x + x³} is linearly independent in P3(R).

To determine if the set S is linearly independent in P3(R), we can use the linear combination method. We set a linear combination of the vectors in S equal to the zero vector:

c1(1 - 2x²) + c2(1 + 3x - x²) + c3(1 + 2x + x³) = 0

Now, we equate the coefficients of like terms:

c1 + c2 + c3 = 0
3c2 + 2c3 = 0
-2c1 - c2 + c3 = 0

This system of linear equations has only the trivial solution, where c1 = c2 = c3 = 0, which implies that the set S is linearly independent in P3(R).

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complete question:

Consider S = {1 − 2x^2, 1 + 3x − x^2, 1 + 2x + x3} ⊆ P3(R)  is S linearly independent in P3(R) ?

Answer:10

Step-by-step explanation:

Answer:

10

Step-by-step explanation: mark me brainlessly

We have proved both directions of the statement:

"˛ is an eigenvalue of p(t) if and only if ˛ d p(.) for some eigenvalue of t."

To prove that ˛ is an eigenvalue of p(t) if and only if ˛ d p(.) for some eigenvalue of t, we need to demonstrate both directions of the statement.

First, let's assume that ˛ is an eigenvalue of p(t). This means there exists a non-zero vector v such that:

p(t)v = ˛v   -- (1)

Now, we want to show that ˛ is divisible by p(˛) for some eigenvalue of t. Let's consider the polynomial p(x) - ˛. Since ˛ is an eigenvalue of p(t), we have:

(p(t) - ˛)v = (p(t)v - ˛v) = 0

This implies that (t - ˛)w = 0 for w = v. Therefore, ˛ is an eigenvalue of t, and it is divisible by p(˛).

Now, let's prove the other direction.

Assume that ˛ is divisible by p(˛) for some eigenvalue of t, let's call it λ. So we have:

˛ = p(λ)m       -- (2)

for some integer m.

We want to show that ˛ is an eigenvalue of p(t). Consider the polynomial p(t) - ˛. Substituting t with λ, we have:

p(λ) - ˛ = p(λ) - p(λ)m = p(λ)(1 - m)

Since λ is an eigenvalue of t, we know that p(λ) = 0. Therefore, p(λ) - ˛ = 0. This shows that ˛ is an eigenvalue of p(t).

Hence, we have proved both directions of the statement:

"˛ is an eigenvalue of p(t) if and only if ˛ d p(.) for some eigenvalue of t."

Note: The proof assumes that the polynomial p(.) does not have a zero constant term, as dividing by zero is undefined.

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The ordered pairs for the system of equations f(x) = x^2 -2x + 3 and f(x) = -2x + 12 are (3, 6) and (-3, 18)

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x2 is a non-zero term(a ≠ 0)

f(x) = x^2 -2x +3 and f(x) = -2x + 12

which means

x^2 -2x +3  = -2x + 12

x^2 -2x +3  + 2x - 12 = 0

x^2 -9 = 0

by factorizing we have

(x-3)(x+3) = 0

x = 3 or -3

when x = 3

f(x) = -2x + 12

f(3) = -2(3) + 12 which is 6

when x = -3

f(-3) = -2(-3) + 12 which is 18

ordered pairs are (3, 6) and (-3, 18)

In conclusion, (3, 6) and (-3, 18) are the ordered pairs

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Hicksian demand functions are:x1** = 2P₁x₂ ; x₂** = P₂²

Utility function: u(x1+x2) = .5ln(x1) + .25ln(x₂) .The Marshallian demand functions are: x1* = - and x₂* = P₂.

The indirect utility function is found by substituting Marshallian demand functions into the utility function and solving for v(P₁, P₂, Y).u(x1*,x2*) = v(P₁,P₂,Y) ⇒ u(-, P₂) = v(P₁,P₂,Y) ⇒ .5ln(-) + .25ln(P₂) = v(P₁,P₂,Y) ⇒ v(P₁,P₂,Y) = - ∞ (as ln(-) is not defined)

Thus the indirect utility function is undefined.

Minimum expenditure function can be derived from the Marshallian demand function and prices of goods:

Exp = P₁x1* + P₂x2* = P₁(-) + P₂P₂ = -P₁ + P₂²

Minimum expenditure function is thus:

Exp = P₁(-) + P₂²

Hicksian demand functions can be derived from the utility function and prices of goods:

H1(x1, P1, P2, U) = x1*H2(x2, P1, P2, U) = x2*

Hicksian demand functions are:

x1** = 2P₁x₂

x₂** = P₂²

If there are no restrictions on the amount of money the consumer can spend, the Hicksian demand functions for x1 and x2 coincide with Marshallian demand functions.

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Answer:  t₇ = 17     t₃₀ = 63       S₁₀ = 140

Step-by-step explanation:

t₇ = 2(7) + 3

  = 14 + 3

  = 17

t₃₀ = 2(30) + 3

    = 60 + 3

    = 63

S₁₀ = (t₁ + t₁₀)/2 × 10

    = (5 + 23)/2 × 10

    = 28/2  10

    = 14 × 10

    = 140

The volume is 1088.64 cm^2 of a rectangular prism with 7.2cm,8.4cm,18cm.

What is volume?

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

a rectangular prism with 7.2cm,8.4cm,18cm

we know,

the volume is

V= l.b.w

here,

l= 7.2 cm

b= 8.4 cm

w= 18cm

i.e. V= 1088.64 cm^2

Hence, The volume is 1088.64 cm^2 of a rectangular prism with 7.2cm,8.4cm,18cm.

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The correct answer is c. Inferential Statistics.

Inferential statistics is the branch of statistics that allows for drawing conclusions about a population based on the information collected from a sample. When conducting research or surveys, it is often impractical or impossible to collect data from an entire population.

Instead, a representative sample is chosen, and inferential statistics are used to make inferences or predictions about the larger population. By analyzing the characteristics and patterns observed within the sample, inferential statistics enable researchers to make generalizations or draw conclusions about the population as a whole.

This process involves applying various statistical techniques, such as hypothesis testing and confidence intervals, to estimate population parameters and assess the reliability of the conclusions. Magnitude statistics, central tendency, and effect size are important concepts in statistics, but they do not specifically address the ability to draw population-level conclusions from sample data.

Magnitude statistics focuses on the size of the effect or relationship between variables, central tendency measures summarize the central values of a dataset, and effect size quantifies the strength of an effect or relationship.

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Answer:

-1,3i,-3i

Step-by-step explanation:

X^3+x^2=-9x-9

x^3+x^2+9x+9=0

x^2(x+1)+9(x+1)=0 factorize by taking x+1 common factor

(x+1)(x^2+9)=0

x+1=0 then x=-1

(x^2+9)=0 then x=+ 0r - 3i

Answer:  -1 is the correct answer

Step-by-step explanation:

Answer:

z = 77

Step-by-step explanation:

Given

\(\frac{z}{7}\) - 9 = 2 ( add 9 to both sides )

\(\frac{z}{7}\) = 11 ( multiply both sides by 7 to clear the fraction )

z = 77

Answer:

10

Step-by-step explanation:

Tₙ=n+5

T₅=5+5=10

Answer:

Yes

Step-by-step explanation:

1:3

2:6

3:9

4:12

Look at those ratios as fractions. You can simplify 2/6, 3/9, and 4/12 to 1/3, so the answer is yes!

Therefore, the solar flux density for mercury after the calculation is 9.12 x 10⁻³ W/m².

The solar flux density also referred to as the solar constant is the total amount of energy derived from the sun per unit area per given unit of time. It is considered to be equal to solar luminosity divided by the surface area of a given sphere that has a radius equivalent to the distance between the respective planet from the sun.

using the formula for finding the solar flux density,

solar flux density =  solar luminosity /(4 x π x distance between mercury and the sun)

solar flux density =  3.865 x \(10^{26}\) /(4 x π x ( 5.791 x \(10^{10}\)))

solar flux density = 9.12 x 10⁻³ W/m²

Therefore, the solar flux density for mercury after the calculation is 9.12 x 10⁻³ W/m².

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Answer:

The answer is A. (-4,0) and (9,0)

Step-by-step explanation:

I took the test and got it right.

Answer:

208

Step-by-step explanation:

(14x9)+(10x7)+(3x4) = 208

By considering the given information that angles 21 and 23 are supplementary and analyzing the properties of supplementary angles and parallel lines, we have proven that segment HI is parallel to segment JK.

To prove that segment HI is parallel to segment JK based on the given information that angles 21 and 23 are supplementary, we can utilize the properties of supplementary angles and parallel lines.

First, let's examine the given figure and information.

We have a capital letter A with serifs, where segment HI represents one of the serifs, and segment JK represents a horizontal line within the letter A.

To begin the proof, we'll make use of the fact that angles 21 and 23 are supplementary.

Supplementary angles are defined as two angles whose measures sum up to 180 degrees.

We can observe that angle 21 is an interior angle of triangle AHI, and angle 23 is an interior angle of triangle AJK.

Since angles 21 and 23 are supplementary, their sum is equal to 180 degrees.

Now, let's assume that segments HI and JK are not parallel.

In this case, if we extend lines HA and JA, they will eventually intersect at point P.

Since the angles formed at the point of intersection are supplementary (angle 21 + angle 23 = 180 degrees), it would imply that angle 21 and angle PJK, as well as angle 23 and angle PHI, are also supplementary.

However, this leads to a contradiction. In the original figure, we can observe that angle 21 and angle PJK do not form a supplementary pair since angle PJK is a right angle (90 degrees) in the letter A.

Therefore, our assumption that segments HI and JK are not parallel must be incorrect.

Consequently, we can conclude that segment HI is indeed parallel to segment JK.

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Answer:

234

Step-by-step explanation:

multiply 26 x 9

Answer:

Ask yourself: Why cant math solve its own problems

Step-by-step explanation:

The expected value in a binomial situation with n = 18 and π = 0.60 is E(X) = np = 18 * 0.60 = 10.8.

In a binomial situation, the expected value, denoted as E(X), represents the average or mean outcome of a random variable X. It is calculated by multiplying the number of trials, denoted as n, by the probability of success for each trial, denoted as π.

In this case, we are given n = 18 and π = 0.60. To find the expected value, we multiply the number of trials, 18, by the probability of success, 0.60.

n = 18 (number of trials)

π = 0.60 (probability of success for each trial)

To find the expected value:

E(X) = np

Substitute the given values:

E(X) = 18 * 0.60

Calculate the expected value:

E(X) = 10.8

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Answer:

80 degrees

Step-by-step explanation:

What we see in this drawing is a triangle formed by three lines. In order to solve this problem, we need to know that when two lines intersect, the two angles formed are supplementary (meaning they add up to 180 degrees). For example, the 150-degree angle, and the angle right next to it (the angle on the left side of the triangle) add up to 180 degrees. This means that the left-most angle of the triangle is 180-150, which is 30 degrees

We can figure out the topmost angle of the triangle using the same method. We know that the angle outside the triangle is 130 degrees, so the angle right next to it (in this case, right below it), is 180-130, or 50 degrees.

Next, we use the fact that triangles are 180 degrees on the inside to figure out the third angle (the one on the right, right next to angle 1). We know that the other two angles are 30 and 50 degrees, and if you add that up, you get 80 degrees. The last angle, then, is 180-80, or 100 degrees.

Lastly, we know that the rightmost angle of the triangle and angle 1 add up to 180 degrees. In other words, 100+Angle1=180. Therefore, Angle 1 is 180-100 or 80 degrees.

Answer:

\(5m - 4n \\ (5 \times 5) - (4 \times 3) \\ 25m - 12n\)

Answer:

-16

Step-by-step explanation:

0-4= -4

-4-4=-8

-8-4=-12

-12-4=-16

Answer:

- 16

Step-by-step explanation:

To find a term in an AP add the common difference d to the previous term.

d = a₂ - a₁ = - 4 - 0 = - 4

Then next term in sequence is

- 12 - 4 = - 16

let's check each one of the options:

(A) is not equivalent

(B) is not equivalent

(C) is not equivalent

(D) it is equivalent to the given equation because

we divide in both sides of the equality by 3 and obtain:

then:

The point (-3 + 18i) is also on the circle with diameter endpoints at –3 + 18i and 7 – 6i.

To find which point is also on the circle, we need to first find the center and radius of the circle. The center of the circle is the midpoint of the diameter, which we can find using the midpoint formula:

Midpoint = ((–3 + 7)/2, (18i – 6i)/2) = (2, 6i)

The radius of the circle is half the length of the diameter, which we can find using the distance formula:

r = √((7 – (–3))^2 + ((–6i) – 18i)^2) / 2

= √(100 + 576) / 2

= √(676) / 2

= 13 / 2

So the center of the circle is (2, 6i) and the radius is 13/2.

To determine which point is also on the circle, we need to check if its distance from the center is equal to the radius. Let's start by checking the point (-3 + 18i):

Distance = √((2 – (–3))^2 + (6i – 18i)^2)

= √(25 + 144)

= √(169)

= 13

Since the distance is equal to the radius, the point (-3 + 18i) is also on the circle. This problem involves basic geometry concepts such as finding the center and radius of a circle, and using the distance formula to check if a point is on the circle.

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The equation of the graph is  (b) f(x) = |x - 7| - 3

From the question, we have the following parameters that can be used in our computation:

The graph

The graph is an absolute value graph

An absolute value graph is represented as

f(x) = a|x - h| + k

Where

Vertex = (h, k)

From the graph, we have

Vertex = (h, k) = (7, -3)

So, we have

f(x) = a|x - 7| - 3

Solving for a, we have

a|4 - 7| - 3 = 0

This gives

a = 1

So, we have

f(x) = |x - 7| - 3

Hence, the equation of the graph is f(x) = |x - 7| - 3

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