You consume 14 pounds of turkey annually. At a discount store, the price of turkey is $0.99 less per pound than at a supermarket. How much would you save annually, in dollars, if you bought all of your turkey at the discount store?

The cattleman should bid on cows that weigh at least 944.0 pounds, which is the weight corresponding to the top 5% of the normally distributed weights of cows.

To determine the lowest weight cow that the cattleman should bid on, we need to find the weight that corresponds to the top 5% of the weight distribution.

Using the standard normal distribution, we can find the z-score that corresponds to the top 5% of the distribution as follows:

z = invNorm(0.95) ≈ 1.645

where invNorm is the inverse of the standard normal cumulative distribution function, which can be found using a statistical calculator or a standard normal distribution table.

Next, we can use the z-score formula to convert the z-score to a weight value:

z = (x - μ) / σ

Solving for x, we get:

x = z * σ + μ

Substituting the values given in the problem, we get:

x = 1.645 * 74.8 + 825.0

x ≈ 944.0 pounds

Therefore, the cattleman should bid on cows that weigh at least 944.0 pounds.

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Answer:

A handtowel costs $2.00 and a bathtowel is $9.00

Step-by-step explanation:

Let h equal the cost of a handtowel. And let b equal the cost of a bathtowel.

In Campbell, they spent:

255 = 6h + 27b

In Lowell, they spent:

343 = 50h + 27b

Solve the system.

see image.

The length of segment AC is equal to 9.

Since B is between A and C, we can use the fact that AB + BC = AC. Similarly, since C is between B and D, we can use the fact to state the lengths of the following segments that: CD + BC = BD.

Substituting the given values, we get:

AB + BC = AC

CD + BC = BD

We are given segments BD = 7 and BC = 3, so we can substitute these values:

CD + 3 = 7

Solving for CD, we get:

CD = 7 - 3

CD = 4

Now we can use the fact that AD = AC + CD to solve for the length of segment AC:

AD = AC + CD

13 = AC + 4

AC = 9

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To mode of given data set of number of days worked in october for 10 programmers of a software company is 7 and 14.

The mode of a data set is the value that appears most frequently. In this case, we can see that both 7 and 14 appear twice, while all other values appear only once. Therefore, there are two modes in this data set: 7 and 14.

To solve mathematically, we can use the mode formula:

mode = value with the highest frequency

In this case, we have two values with the highest frequency, which are 7 and 14. Therefore, the mode of given data set is 7 and 14.

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The solutions are given in the ordered pairs.

An equation is a statement that asserts the equality of two expressions, the expressions are written one on each side of an '=' equal to sign.

We have to choose a value for x to find the corresponding y value to make the equation true.

1)6x=7y

To find x:

divide both sides by 6.

We get, [tex]\frac{6x}{6} =\frac{7y}{6}[/tex]⇒[tex]x=\frac{7y}{6}[/tex]

To find y:

divide both sides by 7.

We get, [tex]\frac{6x}{7} =\frac{7y}{7}[/tex] ⇒ [tex]y=\frac{6x}{7}[/tex]

Therefore solution for the given equation is [tex](\frac{7y}{6} ,\frac{6x}{7})[/tex]

2) 5x+3y=9

To find x:

subtract 3y from both sides,

⇒ 5x=9-3y then divide 5 on both sides,

⇒ [tex]\frac{5x}{5}=\frac{9-3y}{5}[/tex]⇒ [tex]x= \frac{9-3y}{5}[/tex]

To find y:

subtract 5x from both sides.

⇒3y=9-5x, then divide by 3 on both sides we get,

[tex]\frac{3y}{3}=\frac{9-5x}{3}[/tex]⇒[tex]y=\frac{-5x}{3}+3[/tex]

The solution for this equation is [tex](\frac{9-3y}{5},\frac{-5x}{3}+3)[/tex]

3) y+5-(1/3)x =7

To find x:

subtract y-5 from both sides we get,

[tex]-\frac{1}{3}x=2-y[/tex] then multiply both sides by -3,

[tex]\frac{\frac{-1}{3}x }{\frac{-1}{3}}=\frac{2-y}{\frac{-1}{3}}[/tex]⇒x=3y-6

To find y:

Subtract 5 from both sides.[tex]y-\frac{1}{3}x = 7-5[/tex] and add [tex]\frac{1}{3} x[/tex]

we get, [tex]y=2+\frac{1}{3}x[/tex]

The solution for this equation is ([tex](3y-6, 2+\frac{1}{3})[/tex]

Hence, the solutions are given in the ordered pairs.

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Answer:

x ≈ 40.6

Step-by-step explanation:

using the sine ratio in the right triangle

sin38° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{25}{x}[/tex] ( multiply both sides by x )

x × sin38° = 25 ( divide both sides by sin38° )

x = [tex]\frac{25}{sin38}[/tex] ≈ 40.6 ( to 1 decimal place )

Answer:

x ≈ 40.6 units

(nearest tenth / one decimal place)

Step-by-step explanation:

You can use the law of sines in this situation since you know it is a right triangle because of the right angle, and you have an angle and a corresponding side.

Given this information, you can use the equation:

sin A / a = Sin B / b = Sin C / c

Given: A is 38°, a is 25, C is 90°.

Find: x which is side c

sin A / a = Sin B / b = Sin C / c →

[Substitute the information given]

Sin (38°) / 25 = Sin (90°) / c →

[Use the basic identity of sin(90°)]

Sin (38°) / 25 = 1 / c →

[Use the reciprocal rule]

25 / Sin(38°) = c →

[Rotate the equation]

c = 25 / Sin(38°) →

[Solve]

c = 40.606731137068..

[Reduce to the nearest tenth

(one decimal place) and set c to x]

x ≈ 40.6

Answer:

Step-by-step explanation:

First, add 7 to all parts of the inequality to isolate x.

-10+7 < 3x-7+7 ≤ 5+7

-3 < 3x ≤ 12

Then divide all sides by 3.

-1 < x ≤ 4

So x is greater than -1 but less than or equal to 4.

This can be written as (-1, 4] in interval notation.

Answer:

0 over 12

Step-by-step explanation:

3/4 is equal to 9/12

so your basically taking 9/12 from 9/12

The value of the conversion is;

16, 666. 67 minutes

277.78 hours

Conversion of units is described as the conversion between different units of measurement for the same quantity, using the multiplicative factor.

From the information given, we have;

10⁶ seconds

But, we have to take note of;

60 seconds = 1 min

Then 10⁶ seconds = x min

cross multiply

x = 16, 666. 67 minutes

Also,

60 minutes = 1 hour

Then 16, 666. 67 minutes = x

cross multiply

x = 277.78 hours

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The value of the missing side of the given triangle would be = 12

To calculate the value of the missing length the Pythagorean formula can be used such as;

c² = a² + b²

where;

C =?

a = 11

b = 5

C² = 11²+5²

= 121 + 25

= 146

C =√ 146

C = 12

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The area of the region between line y =3x -6 and line y=-2x+8 and

the x-axis with the help of integration will be 2.88 sq units.

What exactly is integration?

The process of computing an integral is known as integration. Mathematicians utilise integrals to compute a variety of useful quantities such as areas, volumes, displacement, and so on. When we talk about integrals, we usually imply definite integrals. Antiderivatives are represented by indefinite integrals. Integration, along with differentiation, is one of the two major calculus concepts in mathematics (which measure the rate of change of any function with respect to its variables).

Integral Fundamental

A definite integral is one that has both upper and lower bounds. For X to lie, only a true line may be utilised. The Definite Integral is also known as a Riemann Integral.

From a to b, use ∫f(x)dx

indefinite integral

Integrals are defined without upper and lower limits. It looks like this:

A indefinite Integral is written as:

∫f(x)dx = F(x) + C

Where C might be any constant and the function f(x) is referred to as the integrand.

Now,

As given in image

Area of the region will be  =∫3x-6 dx from x=2 to 2.8 +∫-2x+8 from x=2.8 to 4.

=(3x²/2-6x) from x=2 to 2.8 + (-2x²/2+8x)  from x=2.8 to 4.

=3*0.8*0.8/2-6*0.8-2*1.2*1.2+8*1.2

=2.88 sq units.

Hence,

           The area of the region between line y =3x -6 and line y=-2x+8 and the x-axis with the help of integration will be 2.88 sq units.

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Answer:

85%

Step-by-step explanation:

well, she missed 3 throws only from all 20's, hmmm if we take 20(origin amount) to be the 100%, what's 3 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 20 & 100\\ 3& x \end{array} \implies \cfrac{20}{3}~~=~~\cfrac{100}{x} \\\\\\ 20x=300\implies x=\cfrac{300}{20}\implies x=15[/tex]

Answer: it will take both the kids 5 hours

Step-by-step explanation: 45+5x5=50   5+9x5=5

9 times 5 is 45 in 5 hours Isaiah will have completed 5 pages and he started at 45 so in 5 hours Brenna will have completed 45 pages and she started at 5

Answer:

x = 59.036°

Step-by-step explanation:

tan (BÂC) = BC/AB

tan= opposite/ adjacent

Then subs AB = 3 BC= 5 BÂC= x into tan (BÂC) = BC/AB

tan(x)=5/3

x= tan^-1 (5/3)

x= 59.036°

The equations for the measures of the unknown angles x and y that are correct are (b), (c) and (e).

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

Sin θ = Opposite Side to θ/Hypotenuse

Cos θ = Adjacent Side to θ/Hypotenuse

Tan θ = Opposite Side/Adjacent Side

Cot θ = Adjacent Side/Opposite Side

Sec θ = Hypotenuse/Adjacent Side

Cosec θ = Hypotenuse/Opposite Side

where, Hypotenuse (the longest side), Perpendicular (opposite side to the angle), Base (Adjacent side to the angle)

The inverse ratios start with the ratio and then find the angle that produces this ratio.

(a) x=cos−1(a/c)

(b) x=sin−1(c/b)

(c) x=tan−1(c/a)

(d) y=sin−1(a/c)

(e)y=cos−1(c/b)

The equations for the measures of the unknown angles x and y that are correct are (b), (c) and (e).

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Answer:

So the answer is C. (x - 3)^2.

Step-by-step explanation:

The complete square corresponding to x^2 - 6x is (x - 3)^2.

A complete square is a trinomial that can be written in the form (x - a)^2, where a is a constant. To find the complete square of x^2 - 6x, we need to rewrite x^2 - 6x into the form (x - a)^2. We do this by adding and subtracting a constant term to make the trinomial a perfect square.

x^2 - 6x + 9 = (x - 3)^2

So the answer is C. (x - 3)^2.

The point of intersection can be found by setting the equations equal, dividing by the same quantity, taking the natural log, and dividing by ln(1.25).

[tex]2500(1.25^t) = 6000(0.3^t)[/tex]

[tex]2500*1.25^t = 6000*0.3^t[/tex]

Divide both sides by 2500:

[tex]1.25^t = 0.3^t * (6000/2500)[/tex]

Divide both sides by[tex]0.3^t[/tex]:

[tex]1.25^t / 0.3^t = (6000/2500) / 0.3^t[/tex]

Take the natural log of both sides:

[tex]t*ln(1.25) = ln((6000/2500) / 0.3^t)[/tex]

Divide both sides by ln(1.25):

[tex]t = ln((6000/2500) / 0.3^t) / ln(1.25)[/tex]

The point of intersection is t = ln((6000/2500) / [tex]0.3^t[/tex]) / ln(1.25).

The point of intersection of two exponential functions can be found algebraically by setting the two equations equal to each other and solving for the variable t. For example, if we want to find the point of intersection of [tex]2500(1.25^t) = 6000(0.3^t)[/tex], we can start by setting the two equations equal to each other and dividing both sides by [tex]2500: 1.25^t = 0.3^t * (6000/2500)[/tex]. Then we can divide both sides by[tex]0.3^t: 1.25^t / 0.3^t = (6000/2500) / 0.3^t[/tex]. We then take the natural log of both sides: [tex]t*ln(1.25) = ln((6000/2500) / 0.3^t)[/tex]. Finally, we divide both sides by ln(1.25): [tex]t = ln((6000/2500) / 0.3^t) / ln(1.25)[/tex]. This means that the point of intersection is[tex]t = ln((6000/2500) / 0.3^t) / ln(1.25).[/tex] In conclusion, the point of intersection of two exponential functions can be found algebraically by setting the two equations equal to each other, dividing both sides by the same quantity, taking the natural log of both sides, and then dividing both sides by ln(1.25).

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The sample space for choosing one card is S={V, S, I, D, I, I, N, O}.

What is a sample space?

A set of potential outcomes from a random experiment is known as a sample space. The sample space is identified by the letter "S". Events are a subset of the potential outcomes of an experiment. The results in a sample area could vary depending on the experiment.

Given that, a set of eight cards were labeled D, I, V, I, S, I, O, and N.

All the possible outcomes should be included in the sample space.

Here, the sample space will be { D, I, V, I,S, I, O, N}

Elements in the order will be

S={V, S, I, D, I, I, N, O}

Therefore, the sample space for the given set of cards is

S={V, S, I, D, I, I, N, O}.

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The value of the expression as a constant is 49.5

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

3(5x - 1) + b(2x - 7)

For the expression to be a constant, the following must be true

b(2x) = -3(5x)

Divide by x

b(2) = -3(5)

Divide by 2 and remove bracket

b = -7.5

Substitute the known values in the above equation, so, we have the following representation

3(5x - 1) -7.5(2x - 7)

So, we have

15x - 3 - 15x + 52.5

Evaluate the like terms

49.5

Hence, the constant is 49.5

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The chance of a series of draws can be calculated while drawing from a collection of things (for instance, a deck of cards) without replacing the items after they are drawn.

Calculate the likelihood of the initial draw while accounting for the sample space's abundance of favourable outcomes. The probability of drawing two consecutive red marbles is 4/25.

Probabilities are always in the 0 to 1 range. Probability = Number of favourable outcomes / Total number of outcomes is the general formula for probability. Or. P(A) = f / N.

On the initial draw, there is a 2/5 chance of getting a red marble.

Out of the five marbles, there are two red ones.

On the second draw, there is still a 2/5 chance of drawing a red marble.

Probability of drawing a red marble on the first draw equals the probability of drawing two red marbles (Probability of drawing a red marble on the second draw)

= (2/5) × (2/5)

= 4/25

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Answer:

Below

Step-by-step explanation:

1 + 19/10 + 8/100   = 1   +  1.9    + .08   =  2.98

Answer:

Step-by-step explanation:

Sorry cant help 18.85%

Answer: About 50 lbs

Step-by-step explanation:

Answer:

12.3

Step-by-step explanation:

To find the mean you have to add all the numbers and divide by the number of numbers.

They add up to 74 and divided by the number of numbers(6)

you get 12.333...

Then yiu round up to 12.3

y=6, x=16

you create a system with the two variables and manipulate an equation so that you can substitute in the other to make it a single-variable equation. you then solve for that variable by isolating it and you can solve for the second variable afterwards. hope this helps!

The critical value if the hypothesis is to be tested at the 0.05 level of significance is 1.96 . So, option C is the correct answer.

To test the hypothesis that Woof Chow has a market share of 25%, we need to conduct a hypothesis test with the null hypothesis that the true proportion of dog owners who use Woof Chow is 0.25, and the alternative hypothesis that the true proportion is not 0.25.

Since the sample size n is large (n = 100), we can use the normal distribution to perform this test. The critical value for a two-tailed test at the 0.05 level of significance is given by:

z_critical = ±1.96

This value corresponds to the 2.5th and 97.5th percentiles of the standard normal distribution. The critical value is ±1.96 because we want to be 95% confident that the true proportion of dog owners who use Woof Chow is within a certain range, and the 95% confidence interval corresponds to two standard deviations from the mean.

To determine whether or not to reject the null hypothesis, we would calculate a test statistic (z-score) based on the sample proportion, and compare it to the critical value. If the test statistic falls outside the critical value, we would reject the null hypothesis and conclude that Woof Chow does not have a market share of 25%.

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I- uhm, it makes one but, I think that's just an equation...