A Molly works for a meat producer and she needs to determine whether containers of ground beef have the correct fat contentShe obtains a random sample of 120 containers of ground beef and finds that 84 percent have the correct fat content. Molly then conducts a hypothesis test of He: p=0.80 versus H : P 0.80 and calculates a test statistic of 1.10 with a pvalue of 0 273 Which of the following best represents the meaning of the p-value? A) if the population proportion is 0.84, the probability of observing a sample proportion of 0.80 is 0.273. B) if the population proportion is 0.84, the probability of observing a sample proportion of at least 0.04 less than 0.84 is o 273. o the population proportion is 00, the probability of observing a sample proportion within 0.04 of 80 is 0273 the population proportion is 0.90, the probability of observing a sample proportion at least 004 greater than 0 0 0 2/3 E the population proportionis 0.80, the probability of observing a sample proportion of at least 34 or most 76 5 0 273 A do 2 PM 200 QWERT

2x-6.3=39.2

2x-6.3+6.3=39.2+6.3

2x=45.5

2x=45.5

2x/2 = 45.5/2

x=22.75

x=22.75

Answer:

C

Step-by-step explanation:

Good Luck and I hope you do well :)

Answer:

the last choice

Step-by-step explanation:

i mean, you judt gotta find the points of the letters.

you can first find the coordinates of point A, which is 3, 2

based off of that, the rest of the answer choices don't have A as 3, 2.

so, with Process of Elimination, its the last one.

Sine function relates side lengths of a right triangle to an acute angle.

In a right triangle, the side lengths are related to the acute angles through the trigonometric functions. The side opposite the acute angle is related to the angle through the sine function, the side adjacent to the acute angle is related to the angle through the cosine function, and the hypotenuse is related to the angle through the tangent function.

More specifically, if θ is an acute angle in a right triangle and a and b are the lengths of the side opposite and adjacent to the angle respectively, and c is the length of the hypotenuse, we have:

sin(θ) = a/c

cos(θ) = b/c

tan(θ) = a/b

Thus, we can use these functions to find the length of any side of the right triangle if we know the measure of one of the acute angles and the length of one of the other sides.

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To solve a system of equations using substitution, you can start by solving one of the equations for one of the variables, such as x or y. For example, in this case, we can solve the first equation for x by subtracting y from both sides, like this:

\(-x - y = 1\)
\(-x = 1 - y\)

Now that we have an expression for x in terms of y, we can substitute that expression into the second equation to solve for y. When we do that, we get:

\(y = -(1 - y) + 4\)
\(y = -1 + y + 4\)

Now we can rearrange the terms on the right-hand side to make it easier to solve for y:

\(y = y + 4 - 1\)

And when we combine the y terms on the left-hand side, we get:

\(2y = 3\)

Finally, we can solve for y by dividing both sides by 2, like this:

\(y = 3 / 2\)

Once we know the value of y, we can substitute it back into any of the original equations to solve for the other variable, x. In this case, if we substitute the value of y into the first equation, we get:

\(-x - y = 1\)
\(-x - (3 / 2) = 1\)

We can solve for x by rearranging the terms on the left-hand side and then dividing both sides by -1, like this:

\(-x = -1 + (3 / 2)\)
\(x = (1 - 3) / 2\)
Therefore, the solution to the system of equations is x = -1 and y = 3/2.

It's important to check your solution by substituting the values of x and y into the original equations to make sure they work. For example, if we substitute x = -1 and y = 3/2 into the first equation, we get:

\((-1) - (3 / 2) = 1\)

And if we substitute the same values into the second equation, we get:

\((3 / 2) = (-1) + 4\)

Both of these equations are true, which means our solution is correct.

Answer:

above sea level

Step-by-step explanation:

Answer:   \(\frac{10}{100}\)× 100

Step-by-step explanation:

Answer:

10/100 = 10%

Step-by-step explanation:

10/100 = 0.1

0.1 * 100 = 10%

Answer:

15 are covered with sprinkles (3/24)

Step-by-step explanation:

First you need to find the common denominator for the fractions, that'll be 24. Then you convert them to get these new fractions.

8/24  covered in peanuts

9/24 covered with chocolate chips

4/24 covered with coconut

Now add those numbers to get 21/24 That's how many have been covered to find how many have sprinkles you subtract. To get 3/24

To find the exact number divide 120/24 to get 5 times 3 to get 15.

Sorry this was so long, but hopefully it helped! Have a great day!

The game with 8 minutes of time-outs is 98 minutes long.

What is an algebraic expression?

An algebraic expression is a mathematical phrase that can contain numbers, variables, and operations such as addition, subtraction, multiplication, and division.

In this case, the algebraic expression that represents the length of the soccer game would be:

m = 90 + x

where m represents the total length of the game in minutes, 90 represents the fixed length of the game, and x represents the variable length of time-outs in minutes.

To find the length of the game with 8 minutes of time-outs, we substitute x = 8 into the expression:

m = 90 + 8 = 98

Therefore, the game with 8 minutes of time-outs is 98 minutes long.

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The length of side SU is 12.73 units

The triangle is an isosceles right triangle.

This means that:

SU^2 = ST^2 + TU^2 ---- Pythagoras theorem

Where

ST = TU = 9

So, we have:

SU^2 = 9^2 + 9^2

Evaluate

SU^2 = 162

Take the square root of both sides

SU = 12.73

Hence, the length of side SU is 12.73

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To solve an inequation for x you have to follow the same procedure you follow when solving equations, with exception that when you multiply/divide by a negative number the direction of the inequality gets inverted.

So to solve the given inequelity for x, you have to pass "+49" to the other side of the expression. To do so, subtract it from both sides of the expression:

The result of the inequality is x > -21

Answer:

Step-by-step explanation:

To solve this problem, we will use the principle of inclusion-exclusion. Let $A_i$ be the set of integers not exceeding 10,000 that are divisible by the prime number $p_i$, for $p_i\in{3,4,7,11}$. We want to find the number of integers that are not in any of these sets $A_i$.

The number of integers not exceeding 10,000 that are divisible by $p_i$ is given by $\lfloor 10,000/p_i\rfloor$. For example, the number of integers divisible by 3 is $\lfloor 10,000/3\rfloor=3333$. However, some integers are divisible by more than one of the primes $p_i$, and we don't want to count them twice.

The number of integers not exceeding 10,000 that are divisible by two of the primes $p_i$ is given by $\lfloor 10,000/(p_ip_j)\rfloor$, where $p_i\neq p_j$. For example, the number of integers divisible by both 3 and 4 is $\lfloor 10,000/(3\times 4)\rfloor=833$.

Similarly, the number of integers divisible by three of the primes $p_i$ is $\lfloor 10,000/(3\times 4\times 7)\rfloor=59$, and the number of integers divisible by all four primes is $\lfloor 10,000/(3\times 4\times 7\times 11)\rfloor=4$.

Using the principle of inclusion-exclusion, the number of integers not exceeding 10,000 that are not divisible by 3, 4, 7, or 11 is given by:

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Therefore, there are 3754 positive integers not exceeding 10,000 that are not divisible by 3, 4, 7, or 11.

Answer:

1409.3

Step-by-step explanation:

Let the distance flown by the arrow in feet be \(d\).

\(\sin 20^{\circ}=\frac{482}{d} \\ \\ \frac{1}{\sin 20^{\circ}}=\frac{d}{482} \\ \\ d=\frac{482}{\sin 20^{\circ}} \\ \\ d \approx 1409.3\)

2 3 x - 6

Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=3x2+9 f - 1 ( x ) = 3 x 2 + 9 is the inverse of f(x)=23x−6 f ( x ) = 2 3 x - 6

pls brain

The amount of water that the swimming pool can hold is approximately (πy³)/4 cubic yards.

To calculate the amount of water that the swimming pool can hold, we need to find the volume of the pool. Since the cross-sections of the pool perpendicular to the y-axis are semi-circles, we know that the pool is cylindrical in shape.

To find the volume of a cylinder, we use the formula V = πr²h, where r is the radius of the circular base and h is the height of the cylinder. In this case, the radius of each semi-circle is equal to y/2, and the height of the cylinder is also equal to y.

Therefore, the volume of the cylinder is V = π(y/2)²y = (πy³)/4 cubic yards.

So, the amount of water that the swimming pool can hold is approximately (πy³)/4 cubic yards. This value will vary depending on the value of y.

In conclusion, the volume of the cylindrical swimming pool can be calculated using the formula V = πr²h, where r is the radius of each semi-circle cross-section and h is the height of the cylinder, which is equal to y. The amount of water the pool can hold is then found by evaluating the volume formula for a given value of y.

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Answer:

D: 113.04

Step-by-step explanation:

Volume cone formula: V=πr^2h/3

V = π(6)^2 3/3

V = 113.1

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

113.04 cubic inches

Step-by-step explanation:

First lets identify the equation to find the volume of a cone.

V= \(\pi\) r^2 h/3

Next we'll plug in height and radius

h = 3

r = 6

V = \(\pi\) 6^2 * 3/3

V = \(\pi\) 36 * 3/3

V = \(\pi\) 36 * 1

V = \(\pi\) 36

V = 36\(\pi\)

Now we'll use 3.14 for \(\pi\) and times it by the 36

V = 36\(\pi\)

V = 113.04

V= 113.04 cubic inches

If you ever need any more help don't be afraid to reach out and I hope this helps!

\(\dfrac{|AE|}{|AD|}=\dfrac{|AB|}{|AC|}\)

Therefore:
\(\dfrac{10}{10+8}=\dfrac{x}{10}\\\\\dfrac{10}{18}=\dfrac{x}{10}\\\\18x=100\\x=\dfrac{100}{18}=5.555\ldots=5.\overline{5}\)

So, none of the choices are correct (5.5 is an approximation).

Answer:

24.549 pounds

Step-by-step explanation:

Answer:

sorry wrong answer that I gave before

I was not right, I didn't want to confuse you

Answer:

I think it already is in standard form.

Step-by-step explanation:

Standard form means that a quadratic function is in the form \(ax^2+bx+c=y\).

In this case, a=-1, b=2, and c=4.

The null hypothesis can be rejected at the 0.05 or 5 % level of significance according to Decision Rule.

The null hypothesis is a type of hypothesis that explains the population parameter and is used to examine if the provided experimental results are reliable. Depending on whether the population or sample under consideration is viable, this hypothesis is either rejected or not. Or to put it another way, the null hypothesis is a hypothesis that assumes that the sample observations are the product of chance. It is claimed to be a claim made by surveyors who wish to look at the data. The symbol for it is H0.

Given :  n = 8          

\(\large \bar{X}=105.20 \\\\ \larg\frac{\sigma}{\sqrt{n}}=1.77 \\ \\ \large \alpha=0.05 \large \mu_0=100\)

a )  We want to find the 95% confidence interval for mean

Therefore ,

\(\large (105.20-Z_{0.05}*1.77,105.20+Z_{0.05}*1.77)\\\\\large (105.20-1.64*1.77,105.20+1.64*1.77)\\\\\large (105.20-2.9028,105.20+2.9028)\)

(102.2972,108.1028)

b )  Hypothesis :  

\(\large H_0:\mu=100 \\ \\ \large H_1:\mu\neq 100\)

The test statistic under H is given by ,

\(\large Z\rightarrow N(0,1)\\\\ \large Z =\frac{105.20-100}{1.77}\\\\ \large =\frac{5.20}{1.77}\\\\\large =2.9379\)

\(P value \large =P(Z > |Z_{cal}|)\)

=P(Z>2.9379)

=0.001652

Decision Rule :  If P value \(< \large \alpha\)  then reject  at  \(\large \alpha\) % level of significance accept otherwise

Here , P value = 0.001652 < \large \alpha = 0.05

Therefore , reject H at 5% level of significance.

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The mean number of people with the genetic mutation in these groups is 80 as this follows a Binomial Distribution.

It is given that 10% of the population has a genetic mutation. We have a sample of 800 here.

Let X be the random variable that defines the number of people with the mutation in the sample.

Since every person can or can't have the mutation, this is a Binomial distribution.

Here,

n = 800

p = 0.1

According to the formula for a Binomial Distribution,

the mean = np

Therefore, the mean for the above distribution will be

800 X 0.1

= 80.

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Answer:

162.1%

Step-by-step explanation:

Given that:

Size of previous living space = 1450 sq ft

Size of new living space = 3800 sq ft

% increase in living space ;

Increase in living space = 3800 - 1450 = 2350 sq feet

(Increase / previous size) * 100%

(2350 / 1450) * 100%

1.6206 * 100%

= 162.06%

= 162.1%

Answer:

False

Step-by-step explanation:

The sequential search algorithm is very simple to implement. It scans all the elements in the array starting at the first element, examining each element in turn and stopping when it finds a match

However, it is very inefficient since you are comparing  all the elements prior to the given element

This could be very time consuming for large data arrays

False The sequential search algorithm is simple and most efficient to use with a large data array.

False. While the sequential search algorithm is simple to implement and understand, it is not the most efficient method for searching large data arrays. The sequential search algorithm checks each element in the array one by one until it finds the desired value, resulting in an average case-time complexity of O(n). In comparison, other search algorithms, such as the binary search algorithm, offer better efficiency, particularly when dealing with large datasets. The binary search algorithm, for instance, has a time complexity of O(log n), making it significantly faster for large data arrays.

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An engineer is designing a fuel tank in the shape of a cylinder, the approximate radius of the cylinder is 8.2 inches.

Volume:

V = πr²h

Height:

h = 2r

V = πr²h

V= πr²(2r)

V= 2πr³

And we know that the volume must be 3,500 in³, now we can replace that and solve for R, we will get:

V= πr²h

3500 = 3.14 x 2 x (r)³

r = 8.2 inch

The cylinder's approximate radius must be 8.2 inches.

One of the most fundamental curvilinear geometric shapes, a cylinder has historically been a three-dimensional solid. It is regarded as a prism with a circle as its base in basic geometry. In several contemporary fields of geometry and topology, a cylinder can alternatively be characterised as an infinitely curved surface.

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Answer:

\(y=3cos(\frac{1}{2} (x+}225)+4\)   phase shift in degrees

\(y=3cos(\frac{1}{2} (x+\frac{5\pi }{4}))+4\)   phase shift in pi radians

Step-by-step explanation:

Here is the equation for the graph of the cosine function.

y = A sin(B(x + C)) + D

A = amplitude

period is 2π/B

C = phase shift

D = vertical shift

Lets convert 1800° to Pi radians.

\(1800*\frac{\pi }{180}\)

\(180(10)*\frac{\pi }{180}\)

\(10*\frac{\pi }{180}\)

\(10\pi\) radians

A = 3

B=2π/ 10π  simplifies to \(\frac{1}{2}\)

C = phase shift

D = 4

\(y=3cos(\frac{1}{2} (x+}225)+4\)   phase shift in degrees

\(y=3cos(\frac{1}{2} (x+\frac{5\pi }{4}))+4\)   phase shift in pi radians