A produce manager inspects large truckloads of potatoes to determine the proportion with major defects (p). She intends to compute a 95% confidence interval for p. To do so, she selects an SRS of 50 potatoes from the more than 2,000 potatoes in the truck. Suppose that only 2 potatoes sampled are found to have major defects.
1. The P-value of her test is:_____.
a. 0.4082.
b. 0.0918.
c. 0.0400.
d. less than 0.0002.
2. Which of the assumptions for inference about a proportion are violated?
a. the data are an SRS from the population of interest.
b. the population is at least 10 times as large as the sample.
c. n is so large that both np0 and n(1-p0) are 10 or more, where p0 is the proportion with major defects if the null hypothesis is true.
d. there appear to be no violations.
3. A 95% plus four confidence interval for the true proportion of potatoes in the truck that have major defects is:____.
a. 0.06±0.026.
b. 0.06±0.051.
c. 0.077±0.026.
d. 0.077±0.051.

Answer:

96,100-29273=66,827

Step-by-step explanation:

Make up a number higher than 66,827

I chose 96,100

find the difference between the number made up (EX. 96,100)

EX. 96,100- 66,827 = 29273

Then double check your answer as it is easy to make mistakes

96,100-29273=66,827

Rounded to the nearest inch, the length of side PR is 75 inches.

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Answer:

Step-by-step explanation:

x=-1/2,1/2

Step-by-step explanation:

4x^2 - 1 = 0

(2x - 1)(2x + 1)= 0

x = 1/2

x = -1/2

One plane can be drawn, so it contains all three points.

What is spherical coordinates?

The coordinate system that is most frequently employed in three-dimensional systems is called spherical coordinates of the system, represented as (r,Ф,∅ ). The surface area in three dimensions is calculated using the spherical coordinate system. Radial distance, polar angles, and azimuthal angle are the three numbers that these coordinates indicate. Additionally known as spherical polar coordinates.

Consider points R, S, and T. Point S is in the middle. Point R is below and to the left of point S.

Suppose that the S coordinate is at the origin, that is (0, 0)

The coordinates of R and T with respect to S will then be (-x, -y) and (x, -y).

Hence One plane can be drawn, so it contains all three points.

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Answer: X = 25

Step-by-step explanation: We can use the Law of Cosines to solve for the remaining side of the triangle, which we'll call "x".

The Law of Cosines states that:

c^2 = a^2 + b^2 - 2ab * cos(C)

In this triangle, we are trying to find side "x" (c) so we can use the following equation:

x^2 = 20^2 + 17^2 - 2(20)(17)cos(H)

Now we can substitute the known values into the equation:

x^2 = 400 + 289 - 680cos(H)

Now we can solve for x by taking the square root of both sides:

x = sqrt(400 + 289 - 680cos(H))

= sqrt(689 - 680cos(H))

= sqrt(9 + 289cos(H))

Alternatively, we can use Law of Sines to solve for side x.

The Law of Sines states that a/sin(A) = b/sin(B) = c/sin(C)

Knowing all the angles in the triangle we can use the following equation

x/sin(K) = 20/sin(P) = 17/sin(H)

Now we can substitute the known values into the equation

x = (20*17)/sin(H)

In both case we get x = 25.

The force of the thrust loaded and supported as 12KN

By taking into account the equilibrium of the entire truss, it is possible to predict the reaction at the supports. Only the vertical component of the reaction at the ends A needs to be taken into account since both external loads are vertical. Given that the angle of the triangle AEC is 90 degrees, it has a right angle.

AE = AC cos 60º = 5 X 0.5 = 2.5m

CE = AC sin60º = 5 X 0.866 = 4.33m

Due to the fact that triangle ABE is an equilateral triangle,

AB = BC = AE = 2.5m

A right-angle triangle with an angle, the triangle BDC is once again

BDC = 90º

Also, BC = AC – AB = 5 – 2.5 = 2.5m BD = BC cos 60º = 2.5 X 0.5 = 1.25m

path of action of 12 KN force away from joint A,

AG = AB + BG

= AB + BD cos 60º = 2.5 + 1.25 X 0.5 = 3.125m

RC X 5 = 12 X 3.125 + 10 X 1.25 = 50  RC = 10KN ...(i) ∑V = 0, RC + RA = 10 + 12 = 22KN  RA

= 12KN

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The question is incomplete, The question is:

Determine the force of the thrust loaded and supported as shown in fig

The probability of the first number being divided by the second number is greater than zero is 1/2.

Probability is a way to gauge how likely something is to happen. According to the probability formula, the likelihood that an event will occur is equal to the proportion of positive outcomes to all outcomes. Probability that an event will occur P(E) is equal to the ratio of favourable outcomes to total outcomes. Because the favourable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1. Additionally, the proportion of positive outcomes cannot be negative.

Given four tiles in a bag with numbers -2, -1, 1, 2

one tile selected at random the probability is 1/4

tile return to bag and another tile selected,

the probability of the second tile is 1/4

total outcome for both is 4 x 4 = 16

the ratio of both numbers should be positive

outcomes are (-2, -1)(-2, -2)(-1, -1)(-1, -2)(2, 1)(2, 2)(1, 1)(1, 2)

favourable outcome are 8

probability is 8/16 = 1/2

Hence the probability is 1/2

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[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here's the solution ~

[tex]\qquad \sf  \dashrightarrow \:f(x) = {x}^{2} + 2x + 9[/tex]

[ plug in the value of x in the expression ]

[tex]\qquad \sf  \dashrightarrow \: f(3) = (3) {}^{2} + 2(3) + 9[/tex]

[tex]\qquad \sf  \dashrightarrow \: f(3) = 9+6 + 9[/tex]

[tex]\qquad \sf  \dashrightarrow \: f(3) = 24[/tex]

Answer: -3

Step-by-step explanation:

ubuve 2.2 it stay the same -2.4 is -3

The value of the third number is 25.5

An algebraic expression can be defined as an expression can be defined as an expression that consists of variables, coefficients, terms, constants and factors.

From the information given as;

Now, substitute the values, we get;

x - 9 + 2(x-9) + x = 75

expand the bracket

x - 9 + 2x - 18 + x = 75

collect like terms

x +2x + x = 75 +27

add or subtract the like terms

4x = 102

Make 'x' the subject of formula by dividing both sides by 4

x = 102/4

x = 25.5

Hence, the third number is 25.5

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Complete question

the sum of three numbers is 75 the First number is 9 less than the third the second number is 2 times the third what are the numbers. Find the third number

The three numbers are 19, 28 and 56

Word problem in mathematics is expressing mathematical problems in words. In other words, a word problem is a verbal description of a problem situation wherein one or more questions are posed, the answers to which can be obtained by the application of mathematical operations to information available in the text.

Represent the three numbers with x, y, z

x = z-9

y = 2z

x+y+z = 75

substitute 2z for y in x+y+z

2z+x+z = 75

substitute z-9 for x

2z+z-9 = 75

3z- 9 = 75

3z = 75+9

3z = 84

z = 28

y = 2z

y = 2× 28

y = 56

to find the value of x;

x = 28-9

x = 19

therefore the value of the three numbers (x,y,z) is 19, 28, 56

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The image of absolute value function f(x) = |x| by rigid transformation is g(x) = 5 · |x|. (Correct choice: B)

In this case we must derive the image of a absolute value function by means of a rigid transformation known as vertical compression, defined as:

f(x) = |x| → g(x) = k · |x|, where k  > 0, k ≠ 1

There is enlargement for k > 1 and contraction for 0 < k < 1. Herein we find an enlargement case (k = 5), then the image of function f(x) = |x| is equal to:

g(x) = 5 · |x|

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Answer:

66 units

Step-by-step explanation:

Diagonals in a rectangle are congruent (equal)

14x + 10 = 11x + 22

Subtract 11x from the right side and subtract -10 from the left to isolate the x's with a constant

You would get: 3x = 12

Divide both sides by 3 to isolate the x by itself;

You would get: x = 4

Next, plug in the value of 4 for whichever equation you want.

11(4) + 22 is what I chose and I got 66.

Hope this helps.

Answer: -4

Step-by-step explanation: u have to do -14x+11x=-3 then u do 22-10=12 now u  have to do 12 divide by -3 and u will get -4 as ur answer

On solving the provided question, we can say that it is a right angle triangle x = [tex]\sqrt{5}[/tex]

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

here

it is a right angle triangle

so by trigonometry

Sin 90 = [tex]\sqrt{5} / x[/tex]

x = [tex]\sqrt{5}[/tex]

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Answer:

6 : 36.         You are already said the answer????.

Step-by-step explanation:

The pair of samples that seems most representative of student preference is Sample 2 and sample 3 are most representative because the relationship between preferences is consistent. Option 2

In order to get the most representative preference, we would have to get the value by subtracting the data in s2 and s3

Such that for antichokes we have 3 - 0 = 3

for bears 53 - 48 = 5

For citizens 9 -7 = 2

Hence the second option is the best solution here. This is as the in choosing the mascot is less here.

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Answer: BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB

HAVE A NICE DAY EVERYBODY LEAVE SOME THANKS AND ADD ME AS A FRIEND AND TEXT ME

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf Option\ C.}[/tex]

Step-by-step explanation:

3x² = -12

x² = -12/3

x² = -4

√x² = √-4

x = √-1 × √4

We know that [tex]\sqrt{-1} =i[/tex]

i(iota) is an imaginary number. So, we can say that the equation has no real solutions.

[tex]\rule[225]{225}{2}[/tex]

Answer:

I) 5575

ii) 312.50

b) 345

Step-by-step explanation:

I)11.15(500)=5575

ii) 1.25(250)=312.50

b) 407.10/1.18 = 345

The slope of the line is -5/6 in the graph.

The slope of a line is how steep it is going from LEFT to RIGHT. Slope is the proportion of a line's rise, or vertical change, to its run, or horizontal change.

No matter which two points you choose for the line's starting and ending points, the slope is always constant (it never changes).

From the given picture we can verify that

x₁ and y₁ is (-4, 6) and x₂ and y₂ is (2, 1).

We know the slope formula is y₂ - y₁ = m(x₂ - x₁)

Substituting the given details in formula we get

1 - 6 = m(2 - (-4))

-5 = m(6)

m = -5/6

Thus, the slope of the line is -5/6.

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[tex]4 \frac{1}{4}(x-4)=17[/tex]

1. Simplify.

[tex]\frac{17}{4} x-17=17[/tex]

2. Add 17 to both sides.

[tex]\frac{17}{4} x-17+17=17+17[/tex]

[tex]17/4x=34[/tex]

3. Multiply both sides by 4/17.

[tex]\frac{4}{17} \times(\frac{17}{4}x )=(\frac{4}{17}) \times(34)[/tex]

[tex]x=8[/tex]

The probability that both numbers generated the number '5' is 1/100

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

The probability is expressed as : sample space/ total outcome

Two number generators can generate number from 1 to 10. This means that the total outcome is 10.

The number 5 has a sample space of 1 in the generated numbers.

Therefore the probability to generate 5 in the first machine = 1/10

The probability to generate 5 in the second machine = 1/10

The probability to generate 5 in both machines = 1/10 × 1/10 = 1/100.

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Binomial is the correct Answer. Roll a pair of dice 10 times and count the number of times the sum is 6 is a Binomial distribution.

Random variables of this type have several characteristics, but the key one is that the experiment that is being performed has only two possible outcomes - success or failure, which is called Binomial distribution.

A binomial experiment that satisfies these four conditions:

A fair six-sided die is rolled ten times, and the number of 6's is recorded

There is a fixed number of trials ten rolls, each roll is independent of the others, and there are only two outcomes either it's a 6 or it isn't, and the probability of rolling a 6 is constant.

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Those who want a simple tax want no tax, therefore option D is correct answer.

Taxes are mandatory payments that citizens and businesses must make to the government, whether they are local, regional, or federal. Tax revenues are used to pay for government programmes like Social Security and Medicare as well as public works and services like roads and schools.

Taxes are paid by whoever is responsible for covering their cost, whether that is the taxed entity, such as a business, or the consumers of the goods that the business produces.

From an accounting perspective, all taxes, including payroll taxes, federal and state income taxes, and sales taxes, must be considered.

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A graph of paired points that form a proportional relationship is a straight line that can be drawn through all the points, and the line passes through

the point where, x, = 0 and, y, = 0.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The equation of a line on a graph that forms a straight line and forms a proportional relationship will have to pass through the origin.

origin = (x, y) = (0, 0)

Thus,

The graph of paired points that form a proportional relationship is a straight line that can be drawn through all the points, and the line passes through the origin.

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Answer:

Let x be the number of games Don can bowl.

We can write the equation as:

25 - 5 - 2.5x = 0

This equation represents the total amount of money Don has, minus the cost of renting shoes, minus the cost of each game he bowls, which should equal zero if he wants to spend all of his money.

Solving for x, we get:

25 - 5 - 2.5x = 0

2.5x = 20

x = 8

Don can bowl 8 games.

Step-by-step explanation:

Hope this helps (:

Answer:

[tex]\dfrac{223}{64}=3.484375[/tex]

Step-by-step explanation:

The Riemann sum is a method by which we can approximate the area under a curve using a series of rectangles.

The Lower Riemann Sum uses the minimum height of the rectangle on each subinterval.  

As the Lower Riemann Sum is entirely below the curve, it is an underestimation of the area under the curve.

The number of partitions is the number of rectangles used.  

Partitions can be of equal length or not of equal length.

Given:

The given partition divides the interval [0, 1] into 3 subintervals:

To calculate the areas of the rectangles, multiply the width of each rectangle by its height.

The width is the difference between the x-values of each subinterval.

The height is the minimum value of the function across the subinterval. For the given function, this is the value of the function for the right side of the subinterval.

First rectangle [0, 1/2]:

[tex]\begin{aligned}\implies \left(\dfrac{1}{2}-0\right) \cdot f\left(\dfrac{1}{2}\right)&=\dfrac{1}{2} \cdot \left(4-\left(\dfrac{1}{2}\right)^2\right)\\\\&=\dfrac{1}{2} \cdot \dfrac{15}{4}\\\\&=\dfrac{15}{8}\end{aligned}[/tex]

Second rectangle [1/2, 3/4]:

[tex]\begin{aligned}\implies \left(\dfrac{3}{4}-\dfrac{1}{2}\right) \cdot f\left(\dfrac{3}{4}\right)&=\dfrac{1}{4} \cdot \left(4-\left(\dfrac{3}{4}\right)^2\right)\\\\&=\dfrac{1}{4} \cdot \dfrac{55}{16}\\\\&=\dfrac{55}{64}\end{aligned}[/tex]

Third rectangle [3/4, 1]:

[tex]\begin{aligned}\implies \left(1-\dfrac{3}{4}\right) \cdot f\left(1\right)&=\dfrac{1}{4} \cdot \left(4-\left(1\right)^2\right)\\\\&=\dfrac{1}{4} \cdot 3\\\\&=\dfrac{3}{4}\end{aligned}[/tex]

Therefore, the Lower Reimann Sum for the given function over the given interval and partitions is the sum of the area of the rectangles:

[tex]\implies \dfrac{15}{8}+\dfrac{55}{64}+\dfrac{3}{4}=\dfrac{223}{64}=3.484375[/tex]

A) The appropriate hypothesis test to determine if there is a statistically significant association between sales and profits is B. H_0: There is no linear relationship between sales and profits, beta_1 = 0. H_A:

There is a linear relationship between sales and profits, beta_1 ≠ 0. This test will determine if there is a linear relationship between the two variables, regardless of the direction of the relationship (positive or negative).

B) The conclusion of this test would be based on the p-value obtained from the test. If the p-value is less than the significance level of 0.05, we would reject the null hypothesis and conclude that there is a statistically significant linear relationship between sales and profits.

If the p-value is greater than 0.05, we would fail to reject the null hypothesis and conclude that there is not enough evidence to suggest a linear relationship between the two variables.

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Using the general equation for depreciation which is y = A(1 – r)^t, The value of the car in 4 years is $12528.15

The value of the car is solved by using the formula for depreciation which is  y = A(1 – r)t

definition of variables

where

y = current value, = ?

A = original cost, = $24,000

r = rate of depreciation, = 15% and

t = time, in years. = 4 years

substituting the variables

current value, y = A(1 – r)t

current value, y = 24000 * (1 - 0.15)⁴

current value, y = 12528.15

the depreciation is $12528.15

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Answer: 160 fl oz

Step-by-step explanation: 5qt x 32fl oz= 160 fl oz

The term "rate of change" (ROC) describes the rate at which something changes over time. Thus, it is not the amount of individual changes themselves but rather the acceleration or deceleration of changes.

When something changes over time, it does so at a certain rate, or ROC. Therefore, rather than the size of each change individually, it is the rate of change—or, more specifically, its acceleration or deceleration. Rate of change is a concept in finance that is used to comprehend price returns and pinpoint trends' momentum.

A ratio is used to express the rate of change, which contrasts the values of the y and x variables. The slope of the line represents the rate of change if it is linear, constant, and so on. Positive, negative, zero, or undefinable slopes are all possible for lines.

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