answer the question please, I filled the first part but I couldn't do the second part. if u cant see the image clearly I'll explain it or take a better picture

The simplified form of the expression -6w + (–8.3) + 1.5+ (–7w) is -13w - 6.8.

Given the expression in the question;

-6w + (–8.3) + 1.5+ (–7w)

To simplify, first remove the parenthesis

Note that;

-6w + × - 8.3 + 1.5 + × - 7w

-6w - 8.3 + 1.5 - 7w

Next collect and add like terms

-6w - 7w - 8.3 + 1.5

Add -6w and -7w

-13w - 8.3 + 1.5

Add -8.3 and 1.5

-13w - 6.8

Therefore, -13w - 6.8 is the simplified form.

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The proababilities are: i) P(Aᶜ) = 0.6, ii) P(Bᶜ) = 0.4

iii) Probability that exactly one of the events A, B occurs = 0.7

Let A and B be any two disjoint events such that P(A) = 0.4 and P(A ∪ B) = 0.7. We need to find the following probabilities:

i) P(Aᶜ): This is the probability of the complement of event A, which represents the probability of not A occurring. Since A and B are disjoint, Aᶜ and B are mutually exclusive and their union covers the entire sample space.

Therefore, P(Aᶜ) = P(B) = 1 - P(A) = 1 - 0.4 = 0.6.

ii) P(Bᶜ): This is the probability of the complement of event B, which represents the probability of not B occurring. Since A and B are disjoint, Bᶜ and A are mutually exclusive and their union covers the entire sample space.

Therefore, P(Bᶜ) = P(A) = 0.4.

iii) Probability that exactly one of the events A, B occurs: This can be calculated by subtracting the probability of both events occurring (P(A ∩ B)) from the probability of their union (P(A ∪ B)).

Since A and B are disjoint, P(A ∩ B) = 0.

Therefore, the probability that exactly one of the events A, B occurs is P(A ∪ B) - P(A ∩ B) = P(A ∪ B) = 0.7.

To summarize:

i) P(Aᶜ) = 0.6

ii) P(Bᶜ) = 0.4

iii) Probability that exactly one of the events A, B occurs = 0.7

Note: The provided values of P(A), P(A ∪ B), and the disjoint nature of A and B are used to derive the above probabilities.

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Answer:

lcm=(x+3)(x+2)(x-2)

Step-by-step explanation:

hcf=(x+2) using different of two squares for x square minus four

Answer:

answer is C

Step-by-step explanation:

lets be honest, your not here for an explanation.

yw btw

If the lines are parallel, then the pair of equations representing parallel lines have no solution.

Parallel lines are straight lines which, existing in the same plane and being produced indefinitely in both directions, do not meet one another in either direction. Another term involved is the "plane". We keep the Plane as an undefined term. The only thing is that we can represent it intuitively or explain it with the help of a physical model.

As the parallel lines never intersect at any point, hence the pair of equations of parallel lines will not have any solution, i.e. they have no solution.

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Answer:

Domain is 1, 2, 3, 4, 5
range is 2, 3, 4, 5, 6
it should be answered like that
about the rule
X= Y-1

With given tanx = 12 and sinx is positive, sin(2x) = 24/145, cos(2x) = -143/145, and tan(2x) = -24/143.

To determine sin(2x), cos(2x), and tan(2x) given that tanx = 12 and sinx is positive,

we have to use the trigonometric identities and information provided.
Step 1: Identify the trigonometric values.
Since tanx = 12,

we can consider this as a right triangle with opposite side = 12 and adjacent side = 1.

Using the Pythagorean theorem, we can find the hypotenuse:
h²= 1²+ 12² = 1 + 144 = 145
h =√(145)

Step 2: Calculate sinx and cosx.
sinx = opposite/hypotenuse = 12/√(145)
cosx = adjacent/hypotenuse = 1/√(145)

Step 3: Use the double angle formulas.
sin(2x) = 2sinxcosx = 2 * (12/√145)) * (1/√(145)) = 24/145

cos(2x) = cos²(x) - sin²(x) = (1/√(145))² - (12/√(145))² = 1/145 - 144/145 = -143/145

tan(2x) = sin(2x)/cos(2x) = (24/145) / (-143/145) = -24/143

So, sin(2x) = 24/145, cos(2x) = -143/145, and tan(2x) = -24/143.

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2.5 inches will be the volume of the box if he cuts a square with 2 inch sides.

What is volume ?

Let each side of  he square that's cut-off from each corner be represented by x.

This means that the base of the box will be of dimension of the side 15−2x while the height of the box will be x.

Thus;

Volume of box is:

V = (15 − 2x)(15 − 2x)x

V = (15 − 2x)²x

V = (4x² - 60x + 225)x

V = 4x³ - 60x² + 225x

Let's differentiate with respect to x to get;

dV/dx = 12x² - 120x + 225

Maximum value of x is at dV/dx = 0

12x² - 120x + 225 = 0

Using quadratic formula, we arrive at;

x = 2.5 or 7.5

Now, let's find the second derivative of the volume;

d²V/dx² = 24x - 120

Putting x = 2.5 gives;

d²V/dx² = 24(2.5) - 120

d²V/dx² = -60Thus, V is maximum at x = 2.5, since d²V/dx² is negative

At x = 7.5;

d²V/dx² = 24(7.5) - 120

d²V/dx² = 60

Thus, V is minimum at x = 7.5, since d²V/dx² is negative

Thus,we will use x = 2.5

Maximum volume; V = (15 − 2(2.5))(15 − 2(2.5))(2.5)

V = 10 × 10 × 2.5

V = 250 Sq.inches

Dimensions are;

(15 − 2x) = 15 - 2(2.5) = 10 inches

(15 − 2x) = 15 - 2(2.5) = 10 inches

x = 2.5 inches

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Answer:

sandwiches n[S]=4

drinksn[D]=3

desserts[d]=2

total n[T]=9

number of possible choices for:

4 sandwiches=n[S]/n[T]=4/9

For

3 drinks=n[D]/n[T]=3/9=1/3

and

For 2 desserts=n[d]/n[T]=2/9

Answer:

The answer is B) -5

Step-by-step explanation:

It is -5 because if you take monday's temperature and subtract it by tuesday's temperature. You get -5

-2-3=-5

Answer:

Two hundred sixty and ninety-four hundredths

Step-by-step explanation:

hope this helps

Answer:

two hundred sixty and ninety-four hundredths

Step-by-step explanation:

Answer:

Option C is equal to 7^1/3

Answer:

no solution is the answer

hope this help you have a great day

The new wage is £11.1

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

Old wage = £10

Increase = 11%

The new wage is calculated as

New wage = Old wage  * (1 + Old wage)

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

New wage = £10 * (1 + 11%)

So, we have

New wage = £11.1

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

Old price = £35

Decrease = 17%

The new price is calculated as

New price = Old price * (1 - Decrease)

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

New price = £35 * (1 -17%)

So, we have

New price = £29.05

Here, we have

Old distance = x

Improvement = 19%

The new price is calculated as

New distance = Old distance * (1 + Improvement)

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

New distance = x * (1 + 19%)

So, we have

New distance = 1.19x

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Answer:

e tenta de novo fazer a questãotenta rever o conteudo onde vc estudou isso

Step-by-step explanation:

Answer:

8x² - 5y² + 5xy

Step-by-step explanation:

8x² + 7xy - 6y² + 4x² - 3xy + 2y² - 4x² + xy - y² = (8x² + 4x² -4x²) + (-6y² + 2y² - y²) + (7xy - 3xy + xy) = 8x² - 5y² + 5xy

Answer:

Area = base × height, or A = b × h for short. Example: If the base of a rectangle has a length of 10 inches and the height has a length of 5 inches, then the area of the rectangle is simply 10 × 5 (b × h) = 50 square inches.

Step-by-step explanation:

Answer:

\(700 - 100 = 7 \\ \)

2000 +4600 _3800 _1 +40000 ,_500-35+421000 (200_a+34

The function f(x) = 150,000(0.85)^x can be used to determine the number of tickets the Houston Ballet Company will sell over time. In this function, the 150,000 represents the initial number of tickets sold before any time has passed (when x = 0).

It serves as the starting point or baseline for the exponential decay of ticket sales over time. As x increases, the function evaluates the number of tickets sold at a particular time, where each subsequent value of x represents a subsequent unit of time (such as days, weeks, months, etc.). The term (0.85)^x represents the decay factor, as it is less than 1 (0.85). Thus, the function models a situation where ticket sales decrease exponentially over time from the initial value of 150,000.

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They will together take 18 minutes to finish the sanitization work together.

It is mentioned that Liana can sanitize the guest room in 45 minutes only and Gab, her brother, can do the same in 30 minutes.

Let they take y minutes to finish the work together.

Let the total work be m

Workdone by Liana in 45 mintues = m

∴Workdone in 1 minute = m / 45

Workdone by Gab in 30 minutes = m

∴Workdone by Gab in 1 minute = m / 30

Let the total time taken by them = x minutes.

Total time taken by them together = m / 45 + m / 30

∴ \(\frac{m}{45} +\frac{m}{30} = \frac{m}{x}\)

⇒ \(\frac{1}{45} +\frac{1}{30} = \frac{1}{x}\)

LCM of 45 and 30 is 90

⇒ \(\frac{2}{90} +\frac{3}{90} = \frac{1}{x}\)

⇒ \(\frac{5}{90}= \frac{1}{x}\)

⇒ \(\frac{1}{18}= \frac{1}{x}\)

⇒ x = 18 minutes

Hence they both can do the same given work in 18 mintues.

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No such vector exists because the directional cosines must be unit vector, with a magnitude of 1.

The directional cosines of a vector are ratios of the components of the vector in the x, y, and z directions. Each directional cosine is a unit vector, meaning it has a magnitude of 1. Therefore, if the directional cosines of a vector are 5 and 6, as in the question, the magnitude of the vector would be the square root of (5^2 + 6^2), which is 7.81. Similarly, if the directional cosines are 2 and 3, the magnitude of the vector will be the square root of (2^2 + 3^2), which is 3.61. Therefore, the magnitude of the vector would be neither 5 nor 6, so no such vector exists.

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In order to find the sample size, we can use the following formula that relates the population and sample standard deviations:

For a confidence interval of 95%, we have z = 1.96.

Then, using the values of the standard deviations, we have:

Rounding to the next whole number, we have a sample size of 139.

Let the random variable p represent a randomly selected prize amount the expected value of p is $3.90  by using probability.

Prize                $1          $5            $10            $20              $50

Probability     0.60      0.30         0.05           0.04              0.01

It is based on the possible chances of something to happen. The theoretical probability is mainly based on the reasoning behind probability. For example, if a coin is tossed, the theoretical probability of getting a head will be ½.

The expected value is defined as the the sum of each outcome is multiplied by its probability.

p=x1p1+x2p2+x3p3+x4p4

p=1.0.60+5.0.30+10.0.05+20.0.04

p=3.90

Therefore, the correct option is A, i.e. $ 3.90 is the expected value of P.

Three Types of Probability

Classical: (equally probable outcomes) Let S=sample space (set of all possible distinct outcomes).

Relative Frequency Definition.

Subjective Probability.

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∵ The cost of the television = 120 dollars

∵ The sale tax = 6.5%

→ Find at first the value of tax by multiplying 6.5% by 120

∵ 6.5% = 6.5/100 = 0.065

∴ The tax = 0.065 x 120 = 7.8 dollars

→ Add the tax to the cost to find the total cost

∵ The tota

There is not sufficient evidence to conclude that infestation by spider mites induces resistance to wilt disease caused by the Verticillium fungus in cotton plants at the 1% level.

The question being investigated is whether infestation by spider mites can induce resistance to wilt disease caused by the fungus Verticillium in cotton plants. The experiment involved two groups of cotton plants - one group was infested with spider mites, while the other group served as controls. After two weeks, the mites were removed and both groups were inoculated with the Verticillium fungus. The number of plants that developed symptoms of wilt disease was recorded for each group.

To test whether infestation by spider mites can induce resistance to wilt disease, we can use a hypothesis test. The null hypothesis (H0) is that there is no difference in the proportion of plants that develop wilt disease between the mites and no mites groups, while the alternative hypothesis (Ha) is that the mites group has a lower proportion of plants with wilt disease compared to the no mites group.

We can use a chi-square test for independence to determine whether the data provide sufficient evidence to reject the null hypothesis at the 1% level. The test statistic is calculated as follows:

chi-square = (ad - bc)^2 / [(a+b)(c+d)]

where a = number of plants in the mites group with wilt disease, b = number of plants in the mites group without wilt disease, c = number of plants in the no mites group with wilt disease, and d = number of plants in the no mites group without wilt disease.

Using the data from the table, we can calculate the test statistic as follows:

chi-square = (14*28 - 18*26)^2 / [(14+18)(28+26)] = 1.079

The degrees of freedom for the chi-square test is (2-1)*(2-1) = 1. The critical value of chi-square at the 1% level with 1 degree of freedom is 6.635.

Since the calculated chi-square value (1.079) is less than the critical value (6.635), we fail to reject the null hypothesis.

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We can apply the ratio test to determine the convergence of the series.

Using the ratio test, we have:

lim n→∞ |b(n+1)/b(n)| = lim n→∞ |9a(n+1)/a(n)|

Since |(a(n+1)/a(n))| converges to rho = 1/8, we have:

lim n→∞ |b(n+1)/b(n)| = lim n→∞ |9a(n+1)/a(n)| = 9rho = 9/8

If lim n→∞ |b(n+1)/b(n)| < 1, then the series ∑n=1[infinity]bn converges absolutely. If lim n→∞ |b(n+1)/b(n)| > 1, then the series diverges. If lim n→∞ |b(n+1)/b(n)| = 1, then the test is inconclusive.

Since 9/8 > 1, the series ∑n=1[infinity]9nan diverges by the ratio test. Therefore, the answer is (B) divergent

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Answer:

600,000 km²

Step-by-step explanation:

Using the exponential regression calculator : the regression fit obtained for the data is :

36510 * (1.08^x)

After 40 years ;

x = 40

Hence,

y = 36510 * 1.08^40

y = 36510 * 21.72452

y = 793,162.27 km

Hence, y is closest to 800,000 km

Data types provide the information to the runtime about how much space is required in the memory. Datatypes helps to allocate memory. In OOPs bases programming languages it also helps to decide where memory should be allocated like heap and stack memory.

Data types allow a compiler to allocate the right memory space for a variable, and also let it perform type checking, marking sure the program uses the variables correctly per their defined type.

A data type is an attribute associated with a piece of data that tells a computer system how to interrupt its value. Understanding the data types ensures that data is collected in the preferred format and the value of each property is as expected.

Choosing the right data types for your tables, stored procedures, and variables not only improves performance by ensuring a correct execution plan, but it also improves data integrity by ensuring that the correct data is stored within a database.

Data type and length are the most fundamental integrity constraints applied to data in a database. Simply by specifying the data type for each column when a table is created, DB2 automatically ensures that only the correct type of data is stored in that column. Processes that attempt to insert or update the data to a non-conforming value will be rejected. Furthermore, a maximum length is assigned to the column to prohibit larger values from being stored in the table.

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