When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan: Randomly select and test 40 batteries and determine whether each is within specifications. The entire shipment is accepted if at most 3 batteries do not meet specifications. A shipment contains 4000 batteries, and 3% of them do not meet specifications. What is the probability that this whole shipment will be accepted? Will almost all such shipments be accepted, or will many be rejected?

Answer: The machine packs 10 sandwiches in 3 minutes, so it packs 10/3 = 3.33 sandwiches per minute.

Step-by-step explanation:

The machine packs 10 sandwiches in 3 minutes, so it packs 10/3 = 3.33 sandwiches per minute.

To pack 100 sandwiches, it would take 100/3.33 = 30 minutes, or 30/60 = 0.5 hours.

Answer:

10:3

100:?

10*10=100

3*10=30

100:30

Step-by-step explanation:

Answer:

R = (0,-8)

Step-by-step explanation:

Let's look at the difference between S, and the midpoint M.

S(6,0) - M(3,-4) = N(3,4) This will help us find R(x,y)

Next, take M, and subtract N from it.

M(3,-4) - N(3,4) = (0,-8). This is the value of R.

Answer:

Graphs of reciprocal functions reflect against their original functions. For example, y=arcsinx reflects against y=sinx. To graph trigonomoetric functions, simply use a graphing calculator, like Desmos. It's easy. go to Desmos and type y=sinx. It will make a graph for you. Then on a line below the function, type y=arcsinx. You will notice how the inverse of sine reflects against sine. I would teach a visual person by not saying as much and just writing out the equations and using Desmos. To an auditory person, I'd explain as I do the math. I don't know what some of these words mean, but if someone wants a physical example, I'd give them a realistic world problem. I'd ask them to stand up and imagine they are this many feet away from an object that is this many feet tall. We will set up a realistic equation together.

Step-by-step explanation:

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Answer:

c(3a) = 2(3a)^2 - 4(3a) + 3 = 18a^2 - 12a + 3.

Step-by-step explanation:

c(3a) = 18a^2 - 12a + 3

Note: this is the simplified form of the expression.

Answer:

The slope is -4

Step-by-step explanation:

Answer: -4

-4 is the slope because in the equation y=mx+b, m represents the slope.

hope this helps :)

a) To maximize profits, 10 units should be sold in market 1 and 5 units in market 2.

b) The corresponding prices are $180 in market 1 and $160 in market 2.

c) If it becomes illegal to discriminate, the profit loss is $50.

d) The imposition of a tax of $5 per unit sold in market 1 would likely decrease the monopolist's profit and potentially lead to adjustments in prices and quantities sold in both markets.

a) To maximize profits, the monopolist should set marginal revenue equal to marginal cost in each market.

In this case, marginal revenue is equal to the derivative of the demand function with respect to quantity, and it can be calculated as MR = dP/dQ.

For market 1:

MR₁ = dP₁/dQ₁ = -2

For market 2:

MR₂ = dP₂/dQ₂ = -4

Setting MR equal to marginal cost, which is the derivative of the cost function with respect to quantity, gives:

MR₁ = -2 = dC/dQ₁ = 20

MR₂ = -4 = dC/dQ₂ = 20

Solving these equations, we find:

Q₁ = 10

Q₂ = 5

Therefore, the monopolist should sell 10 units in market 1 and 5 units in market 2 to maximize profits.

b) To determine the corresponding prices, we substitute the quantities obtained in part (a) into the demand functions:

For market 1:

P₁ = 200 - 2Q₁ = 200 - 2(10) = 180

For market 2:

P₂ = 180 - 4Q₂ = 180 - 4(5) = 160

Therefore, the corresponding prices are $180 in market 1 and $160 in market 2.

c) To calculate the profit lost if it becomes illegal to discriminate, we need to compare the profits under discrimination with the profits under non-discrimination.

Under discrimination, the monopolist charges different prices in each market, while under non-discrimination, the same price is charged in both markets.

Under discrimination:

Profit = Total revenue - Total cost

For market 1:

Total revenue₁ = P₁ \(\times\) Q₁ = 180 \(\times\) 10 = $1

For market 2:

Total revenue₂ = P₂ \(\times\) Q₂ = 160 \(\times\) 5 = $800

Total revenue = Total revenue₁ + Total revenue₂ = $1800 + $800 = $2600

Total cost = C = 20(Q₁ + Q₂) = 20(10 + 5) = $300

Profit = Total revenue - Total cost = $2600 - $300 = $2300

Under non-discrimination:

Since the same price is charged in both markets, we take the average price:

Average price = (P₁ + P₂) / 2 = (180 + 160) / 2 = $170

Total revenue = Average price \(\times\) (Q₁ + Q₂) = $170 \(\times\) (10 + 5) = $2550

Total cost remains the same at $300.

Profit = Total revenue - Total cost = $2550 - $300 = $2250

Therefore, the profit lost if discrimination becomes illegal is $2300 - $2250 = $50.

d) The imposition of a tax of $5 per unit sold in market 1 would increase the cost per unit for the monopolist.

This would affect the profit-maximizing quantity in market 1 and potentially lead to a change in prices.

The monopolist would compare the new marginal cost, which includes the tax, with the marginal revenue to determine the new profit-maximizing quantities and prices.

The tax would likely reduce the monopolist's profits and could potentially result in adjustments in production and pricing strategies.

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Answer:

40

Step-by-step explanation:

\(8=2^3 \\ \\ 20=2^2 \times 5 \\ \\ \lcm(8,20)=2^3 \times 5=40\)

ANSWER:

For P(x) = 2x^3-3x^2+5x-6:

SOLUTION:

Need to factor the expression

Answer:

c. domain: {-2, 0, 2}, range: {-1, 1, 3}

Step-by-step explanation:

From the given points (negative 2, negative 1), (0, 1), (2, 3), we can determine the domain and range.

The domain represents the set of all possible x-values of the points, and the range represents the set of all possible y-values of the points.

In this case, we can see that the x-values are -2, 0, and 2, and the corresponding y-values are -1, 1, and 3.

Therefore, the correct answer is:

c. domain: {-2, 0, 2}, range: {-1, 1, 3}

Answer:

\((2x - 6) + 4(x - 3) \\ 2x - 6 + 4x - 12 \\ 6x - 18\)

hope helpful <3

The statement "let c and d be disjoint compact subspaces of the Hausdorff space x and then there exist disjoint open sets u and v containing c and d, respectively." is proved.

Here we have given the let A and B be disjoint compact subspaces of the Hausdorff space X.

And we have to prove the statement.

According to the given question, let us consider that x be an arbitrary coordinate of A and here the points of x isn't in Y because A and B are disjoint.

Then according to Lemma 26.4 disjoint open sets Ux and Vx such that x Î Ux and Ux contain B.

Here the collection {Ux} is a covering of A by sets open in X.

And the finite collection of them {U1, ..,Un} covers A because A is compact.

Here the open set U = U1 U....U Un contains A and it is disjoint from

V = V1 I.....I Vn that contains B because it's the finite intersection of the corresponding open sets containing.

Therefore, here there exists disjoint open sets U and V containing A and B, respectively.

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In this manner, the number of wolves changes by around 8 percentage 8% each year based on the given work.

To determine the percentage change within the number of wolves each year, we ought to look at the development rate of the work w(x) = 14 * 1.08^x.

The development rate in this case is given by the example of 1.08, which speaks to the figure by which the number of wolves increments each year. In this work, the coefficient 1.08 speaks to a development rate of 8% per year.

To calculate the percentage change, we subtract 1 from the growth rate and increase by 100 to change over it to a rate:

Percentage change = (1.08 - 1) * 100 = 0.08 * 100 = 8%.

In this manner, the number of wolves changes by around 8 percentage 8% each year based on the given work.

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The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

41/140 or approximately 29.29%

Step-by-step explanation:

Divide 41 by 140 to get 0.29285714285, and round it to the nearest hundredths.

Answer:

Step-by-step explanation:

b= buttons

z= zips

b∩z'=41

b'∩z=48

b'∩z'=25

b=?

b= b∩z+b∩z' (law of total probability)

140=b∩z+b∩z'+b'∩z+b'∩z'  (if this is confusing draw a venn diagram)

140=b∩z+41+48+25

b∩z=26

26+41= 67

67/140= .478571429

Answer:

\(y^{\frac{2}{5} }\)

Step-by-step explanation:

\(\sqrt[3]{\frac{y^{2} }{y^{\frac{4}{5} } } } \\=\sqrt[3]{y^{2}. y^{-\frac{4}{5}} } \\=\sqrt[3]{y^{2-\frac{4}{5}} } \\=\sqrt[3]{y^{\frac{6}{5}} }\\ =y^{\frac{6}{5}.\frac{1}{3} }\\=y^{\frac{2}{5} }\)

\(n=\frac{2}{5}\)

The measure of angle θ is 45 degrees.

The measure of angle θ is calculated by applying trigonometry ratio as follows;

SOH CAH TOA

SOH = sin θ = opposite /hypothenuse side

TOA = tan θ = opposite side / adjacent side

CAH = cos θ = adjacent side / hypothenuse side

The height and the adjacent side is given, so the value of θ is calculated as follows;

tan θ = (206 - 7 ) / (199)

tan θ = 1

θ = arc tan (1)

θ = 45⁰

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Answer:

Answer: so the answer is 80 miles per 0.8 Step-by-step explanation: consistence

We're given:

If the shop sold " \(9\dfrac{9}{10}\)  times as much milk chocolate as white chocolate", we must multiply \(9\dfrac{9}{10}\) by the amount of white chocolate sold to find the amount of milk chocolate sold.

Multiply \(9\dfrac{9}{10}\) by 9 ounces:

\(9\dfrac{9}{10}\times9\)

Convert the fraction into an improper fraction:

\(=\dfrac{99}{10}\times9\)

Multiply:

\(=\dfrac{891}{10}\)

The shop sold \(\dfrac{891}{10}\) ounces of milk chocolate.

hope it helps..................

Answer:

(3, 0)

Step-by-step explanation:

(3,6) reflected across the line y=3

y = 3 is parallel to x- axis, the x-coordinate doesn't change and y-coordinate reflects as y - 2*3

Answer is (3,0)

The appropriate hypotheses for this test are: H0: There is no difference in the distribution of responses. Ha: There is a difference in the distribution of responses.

The chosen hypotheses are based on the objective of the investigation, which is to determine if there is convincing evidence that the distribution of responses about eating the potato salad differs between employees who are sick and those who are not sick.

The null hypothesis (H0) assumes that there is no difference in the distribution of responses about eating the potato salad between the sick and non-sick employees. This means that the proportion of employees who ate the potato salad would be the same in both groups, and any observed difference in the distribution of responses is due to random chance or factors unrelated to being sick or not sick.

On the other hand, the alternative hypothesis (Ha) proposes that there is a difference in the distribution of responses about eating the potato salad between the sick and non-sick employees. This suggests that the proportion of employees who ate the potato salad would be significantly different in the two groups, indicating a possible association between consuming the potato salad and getting sick.

By formulating these hypotheses, the investigation aims to evaluate whether the data provides convincing evidence to reject the null hypothesis in favor of the alternative hypothesis, indicating a meaningful relationship between eating the potato salad and falling sick.

Therefore, the correct answer is:

H0: There is no difference in the distribution of responses about eating the potato salad among those who are and are not sick.

Ha: There is a difference in the distribution of responses about eating the potato salad among those who are and are not sick.

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Answer:

76.665

Step-by-step explanation:

Given that,

cos α = 0.93, Sin θ =0.26 and tanβ = 0.84

We need to find the value of α, β and θ

\(\alpha =\cos^{-1}(0.93)\\\\=21.565\\\\\beta =\tan^{-1}(0.84)\\\\=40.030\\\\\theta=\sin^{-1}(0.26)\\\\=15.07\)

So,

\(\alpha +\beta +\theta=21.565+40.03+15.07\\\\=76.665\)

Hence, the final answer is 76.665.

The first integer between 4 and 6 is 204.

Probability is the concept that describes the likelihood of an event occurring.

In real life, we frequently have to make predictions about how things will turn out.

We may be aware of the result of an occurrence or not.

When this occurs, we state that there is a possibility that the event will occur.

In general, probability has many excellent applications in games, commerce, and this newly growing area of artificial intelligence

The chance of an event can be calculated using the probability formula by only dividing the favourable number of possibilities by the total number of potential outcomes.

Hence, The first integer between 4 and 6 is 204.

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perpendicular=p=8cm

Hypontenuse =h =10cm

According to Pythagoras thereon

\({\boxed{\sf b^2=h^2-p^2}}\)

\(\longrightarrow\)\(\sf b^2=10^2-p^2\)

\(\longrightarrow\)\(\sf b={\sqrt {10^2-8^2}}\)

\(\longrightarrow\)\(\sf b={\sqrt{100-64}}\)

\(\longrightarrow\)\(\bf b={\sqrt {36}}\)

\(\longrightarrow\)\(\sf b=6\)

\(\therefore\)\(\overline{BC}=6cm\)

BD=BC+CD

\(\longrightarrow\)\(BD=9+6\)

\(\longrightarrow\)\(BD=15cm \)

Perpendicular=p=8cm

Base =b=15cm

According to Pythagoras thereon

\({\boxed {\sf h^2=p^2+b^2}}\)

\(\longrightarrow\)\(\sf h^2=8^2+15^2 \)

\(\longrightarrow\)\(\sf h={\sqrt {8^2+15^2}}\)

\(\longrightarrow\)\(\sf h={\sqrt {64+225}}\)

\(\longrightarrow\)\(\sf h={\sqrt {289}}\)

\(\longrightarrow\)\(\sf h=17cm \)

\(\therefore\)\({\underline{\boxed{\bf x=17cm}}}\)

Answer:

slope = 4

The line is increasing

Step-by-step explanation:

slope can be found through the equation \(\frac{y_{2} -y_{1}}{x_{2}-x_{1}}\). So, if we plug these points in, we get \(\frac{7-3}{8-7}\), which simplifies to 4. So, the slope is 4.

Since the slope is positive, the line is increasing.

Based on the intersecting secants theorem:

a. CG*CE = CH*CD

b. length of DH = 10 in.

When an exterior point is formed by two secant segments to a circle, the product of the length of one secant segment and its external segment will always be equal to the product of the length of the other secant segment and its external segment, according to the intersecting secants theorem.

a. Based on the intersecting secants theorem, the relationship that describes the lengths of the segments formed by the two secants is:

CG*CE = CH*CD

b. Given the following lengths:

CG = 3 in, CH = 2 in, and GE = 5 in

CE = CG + GE = 3 + 5 = 8 in.

CD = CH + DH = 2 + DH

Substitute into CG*CE = CH*CD:

3*8 = 2*(2 + DH)

24 = 4 + 2DH

24 - 4 = 2DH

20 = 2DH

20/2 = DH

DH = 10 in.

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Answer:

15cm

Step-by-step explanation:

The formula to calculate the area of a parallelogram is base x height.

Since we know the height and area, we can write the equation:

135 = base x 9

Now we can just divide 9 from both sides to solve for base:

135/9=basex9/9

So we get:

Base = 135/9=15

The length of the base is 15cm.

Hope this helped!

Answer:

lol

Step-by-step explanation:

2. haha

3. haha.5.jsj