b) Convert 101, into denary number​

Polynomial mixing with Modulus. First time to see this in my life.

So from the graph it must be even-degree polynomial. It must be 4-degree polynomial judging from the x-intercepts.

There's a fraction/decimal as roots so...  Just look from the graph.

When x = 6 or f(6), y = -2 as shown in the graph.

So f(6) = -2

Answer:

divide -11 to -11 (-11/-11)

Step-by-step explanation:

The simplified expression of cos^2x sin^4x is cos^2x - 2cos^4x + cos^6x.

The expression cos^2x sin^4x can be simplified by using the trigonometric identity that states sin^2x + cos^2x = 1.

We can rewrite cos^2x sin^4x as cos^2x (sin^2x)^2. Then, using the trigonometric identity sin^2x + cos^2x = 1, we can substitute (1 - cos^2x) for sin^2x.

This gives us cos^2x (1 - cos^2x)^2, which can be expanded using the binomial theorem to give cos^2x (1 - 2cos^2x + cos^4x).

Finally, we can simplify this expression further by distributing the cos^2x term and collecting like terms to get cos^2x - 2cos^4x + cos^6x.

Therefore, the simplified expression of cos^2x sin^4x is cos^2x - 2cos^4x + cos^6x.

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The correct tests for a pairwise combination design of experiments are: Given 3 inputs: p1 with values v1 and v2; p2 with value v3, and p3 with values v4 and v5.

Pairwise testing is a popular black-box testing technique used for testing software applications. Pairwise testing is a software testing technique that is used to reduce the number of test cases while still ensuring that all combinations of input parameters are tested at least once. The correct tests for a pairwise combination design of experiments are : Test each input parameter individually.

Test every possible pair of input parameters. Test the interactions of three input parameters.

The technique of pairwise testing is a technique that involves testing every possible pair of input parameters in a system. When there are three or more input parameters, this technique may not be practical because it can lead to a large number of test cases. As a result, we can use the technique of pairwise combination design of experiments. Pairwise combination design of experiments is a technique that involves testing all possible pairs of input parameters. To be more specific, the correct tests for a pairwise combination design of experiments are: Test each input parameter individually. Test every possible pair of input parameters.

Test the interactions of three input parameters. Pairwise testing is a black-box testing technique that is particularly useful for testing software applications. It is based on the idea that most defects are caused by interactions between input parameters, rather than by individual parameters. By testing every possible pair of input parameters, the tester can identify and eliminate defects that are caused by these interactions. In addition, by using a pairwise combination design of experiments, the tester can reduce the number of test cases required to test all combinations of input parameters, thus saving time and resources.

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The product of 4√27 and 5√3 in simplest form is 180. Thus, the result obtained is a rational number

Surd multiplication can be carried out as illustrated below:

a√b × c√d = (a × c)√(b × d)

The product of 4√27 and 5√3 can obtained as illustrated below:

a√b × c√d = (a × c)√(b × d)

4√27 × 5√3 = (4 × 5)√(27 × 3)

4√27 × 5√3 = 20√81

But

√81 = 9

Thus,

4√27 × 5√3 = 20 × 9

4√27 × 5√3 = 180

Therefore, the product of 4√27 and 5√3 is 180

These are number that are expressed as a ratio of two integers inwhich the denominator is not equal to zero

Considering that the product of 4√27 and 5√3 is 180, we can thus say that 180 is a rational number since it can be written as 180 : 1 (or 180 / 1)

Therefore, was can conclude that the result obtained from the product of 4√27 and 5√3 is a rational number

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Answer:

odd

Step-by-step explanation:

Not sure tho

Answer: I think it’s the first choice. Foreign Language, Math/CS, and social studies

Step-by-step explanation:

the probability of choosing exactly 5 red marbles when 12 marbles are chosen at random is approximately 0.028.

This is a hypergeometric probability problem .

The total number of ways to choose 12 marbles from 27 is:

${{27}\choose{12}} = \frac{27!}{12!15!} = 10,!626,!766$

The number of ways to choose 5 red marbles and 7 blue marbles is:

$ {{15}\choose{5}}\cdot{{12}\choose{7}} = \frac{15!}{5!10!}\cdot\frac{12!}{7!5!} = 300,!450$

So the probability of choosing exactly 5 red marbles is:

$P(\text{5 red}) = \frac{300,!450}{10,!626,!766} \approx 0.028$

what is probability?

Probability is the measure of the likelihood or chance of an event occurring. It is a quantitative measure that ranges from 0 to 1, where 0 indicates an impossible event and 1 indicates a certain event.

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Answer:

4/6

Step-by-step explanation:

4 packs between 6 teachers

= 4/6 of a pack per teacher

Vacation price after discount = Vacation price before reduction x (100% - 20%). a. To compute the price of the alternative vacation in Greece after deducting the 20% incentive.

In this scenario, the trip would have cost £1800 without the rebate. We add this sum to the formula to determine the total cost after the discount:

£1800 x (100% - 20%) = £1800 x 80% = £1440

A 20% discount is applied to the trip's price, which drops to £1440.

b. We deduct £100 from the vacation's cost after the 20% incentive has been applied in order to estimate the final total price after the £100 discount coupon has been used:

£1440 - £100 = £1340

The total cost of the trip is therefore £1340.

c. To calculate how much more each consumer will need to pay for this holiday, we divide the final total holiday price by 2, assuming that each client is paying an equal portion.

£1340/2 = £670

Therefore, each person's additional expense for this vacation will be £670.

The pair spent a total of £1200 on their first trip to Portugal, and they are currently spending an additional £1340 on a second trip to Greece. Therefore, the couple will pay an extra £140 for this holiday, and each person will pay an extra £670.

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Answer:

18.75

Step-by-step explanation:

Answer:

The correct answer would be A.) 3 1/4 or 3.25.

Step-by-step explanation:

I just did the test on edge 2020

Answer:

252

Step-by-step explanation:

(5+22) x (35-27) +\(6^{2}\)

27 x 8 + \(6^{2}\)

27 x 8 + 36

216 + 36

252

Answer: I fixed my answer

252

Hope this helped<3

The researcher will need 25 participants to obtain 20 measurements within each of the 25 conditions in this within-subject design.

To determine the number of participants needed for a within-subject design with 25 conditions and 20 measurements within each condition, we need to consider the concept of counterbalancing. Counterbalancing involves systematically varying the order of conditions across participants to account for potential order effects.

In this case, each participant will need to complete all 25 conditions, with 20 measurements within each condition. Therefore, we can calculate the total number of measurements per participant:

Total measurements per participant = Number of conditions × Number of measurements per condition

Total measurements per participant = 25 × 20

Total measurements per participant = 500

To determine the number of participants needed, we divide the total number of measurements by the number of measurements per participant:

Number of participants = Total measurements / Measurements per participant

Number of participants = 500 / 20

Number of participants = 25

Therefore, the researcher will need 25 participants to obtain 20 measurements within each of the 25 conditions in this within-subject design.

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Strictly speaking, to say that an apple is red means that B) it appears red.

When we say that an apple is red, strictly speaking, it means that it appears red.

The color we perceive is not an inherent property of the apple itself, but rather the result of how light interacts with the apple's surface and how our eyes perceive that interaction.

The color we see is a subjective experience influenced by various factors, such as lighting conditions, our perception of color, and any color deficiencies we may have.

While an apple may reflect and absorb certain wavelengths of light that we interpret as "red," it's important to recognize that color perception is subjective and can vary from person to person.

The statement "an apple is red" acknowledges that our perception of color is based on the appearance of the apple rather than making an absolute statement about its inherent color.

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Answer: should be 86°, not sure.

Step-by-step explanation:

\(4x+22~ > ~-2(14+3x)\implies 4x+22~ > ~-28-6x\implies 10x+22 > -28 \\\\\\ 10x > -50\implies x > \cfrac{-50}{10}\implies x > -5\)

Check the picture below.

Answer:

Step-by-step explanation:

perimeter P= 2L+2W

360=2(L+W) divide by 2

180=L+W

we know the L=100

180=100+W

W=80

The value of 0.0062 is less that our significance level of 0.1, we reject the null hypothesis at the 0.1 level of significance and conclude with sufficient evidence that the manufacturer's MPG rating is incorrect.

To answer the question, we will conduct a hypothesis test to at the 0.1 level to ascertain whether or not the manufacturer's MPG rating is incorrect.

We start by stating the null and alternative hypotheses:

\($H_0$\): The mean miles/gallon for the vans is 53.8

\($H_A$\): The mean miles/gallon for the vans is not 53.8

We choose a significance level $\alpha = 0.1$ and calculate the following test statistic:

\($z = \frac{\bar{x}-\mu}{\sigma/\sqrt{n}} = \frac{53.4-53.8}{1/\sqrt{16}} = -2.5$\)

With a standard normal table, we look for the area to the left of -2.5, which is 0.0062. Because this value of 0.0062 is less that our significance level of 0.1, we reject the null hypothesis at the 0.1 level of significance and conclude with sufficient evidence that the manufacturer's MPG rating is incorrect.

Therefore, the value of 0.0062 is less that our significance level of 0.1, we reject the null hypothesis at the 0.1 level of significance and conclude with sufficient evidence that the manufacturer's MPG rating is incorrect.

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Answer:

The correct answer is 39 units.

Parameter is the sum of the lengths of all sides of a polygon. The sides of the polygon are PT, TS, SR, RQ, and QP. To get the length of a side, we use the distance formula:

d =

Each vertex in the polygon has its corresponding points:

P (-2,11)

T (8, 7)

S (1, 7)

R (2, 0)

Q (-4,5)

So to get the length of side PT, we use the distance formula and the vertices of side PT:

P  = (-2, 11)

T  = (8, 7)

The length of PT is

The same procedure is done for the other 4 sides and the following are the answers:

TS =

SR =

RQ =

QP =

And by adding all the sides, you get the perimeter:

By rounding off, the answer is 39 units.

Step-by-step explanation:

The test statistic (-2600) is much smaller than the critical value (1.645), we can reject the null hypothesis. Therefore, based on the given sample, the Republican candidate has a chance to win the election.

To determine if the Republican candidate has a chance to win, we can conduct a hypothesis test using the given information.

Let's set up the hypotheses:

Null Hypothesis (H0): The proportion of voters planning to vote for the Republican candidate is equal to or less than the proportion of registered Democrats.

Alternative Hypothesis (Ha): The proportion of voters planning to vote for the Republican candidate is greater than the proportion of registered Democrats.

Now, we can calculate the test statistic and compare it to the critical value.

First, we need to calculate the standard error of the proportion:

SE = sqrt(p * (1 - p) / n)

where p is the proportion of registered Democrats and n is the sample size.

p = 0.55 (given)

n = 1200 (sample size)

SE = sqrt(0.55 * (1 - 0.55) / 1200)

SE = sqrt(0.55 * 0.45 / 1200)

SE = sqrt(0.022275 / 1200)

SE ≈ 0.015

Next, we calculate the test statistic:

z = (x - μ) / SE

where x is the number of voters planning to vote for the Republican candidate and μ is the expected number of voters based on the proportion of registered Democrats.

μ = p * n

μ = 0.55 * 1200

μ = 660

z = (621 - 660) / 0.015

z = -39 / 0.015

z ≈ -2600

Finally, we compare the test statistic to the critical value at a significance level of α = 0.05.

Since the alternative hypothesis is that the proportion of voters planning to vote for the Republican candidate is greater than the proportion of registered Democrats, we will perform a one-tailed test.

Using a standard normal distribution table or software, the critical value for a one-tailed test at α = 0.05 is approximately 1.645.

Since the test statistic (-2600) is much smaller than the critical value (1.645), we can reject the null hypothesis.

Therefore, based on the given sample, the Republican candidate has a chance to win the election.

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Based on the given information, we can create an inequality to represent the sum of a number (n) and 10 having a maximum value of 120. The inequality can be written as:

n + 10 ≤ 120

To find the possible values of n, we need to isolate n by subtracting 10 from both sides of the inequality:

n ≤ 110

This inequality tells us that the possible values of n are any numbers less than or equal to 110. In other words, n can be any number in the range (-∞, 110], including both negative and positive integers, as well as fractions and decimals. The key takeaway here is that the sum of n and 10 cannot exceed the maximum value of 120, and this constraint is represented by the inequality n ≤ 110.

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The depth of flow must be contracted from 1.2 m to 0.67 m to achieve critical flow. When the flow is critical, the specific energy is minimum.

To determine how far the channel width must be contracted to reach critical flow, we use the concept of critical depth and its relation to specific energy. Specific energy is the sum of the depth of flow and the velocity head (0.5 v²/g).

Hence, equate the specific energy of given flow to that of critical flow and solve for critical depth.

specific energy of given flow = 1.2354 m

Given: q = 5.5 m³/s,

B = 9.4 m,

y = 1.2 m

Using the specific energy equation, we can write:

\(y + (v²/2g) = (y_c + (q²/gB²)^(1/3)) + ((q²/gB²)^(2/3)/(2g(y_c + (q²/gB²)^(1/3))))\)

where, y = 1.2 m,

q = 5.5 m³/s,

B = 9.4 m,

g = 9.81 m/s²

Solving the above equation for critical depth, y_c = 0.67 m

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Problem 16

This is because the two smaller sides 8 and 10 add to 8+10 = 18, but this is not greater than the side 21. For a triangle to be possible, the sum of any two sides must be larger than the third side. I recommend cutting out slips of paper of these lengths to confirm that a triangle is indeed not possible in this case.

=====================================================

Problem 17

Choice A is not the answer because 13+8 = 21, but that's not larger than the third side 21.

Choice C is not the answer because 6+11 = 17 which is not larger than 24.

Choice B is the only possible answer. Note we have the three following true inequalities

So adding any two sides of this triangle leads to a sum larger than the third side. We're using the triangle inequality theorem.

Answer:

first one is correct ........

4x +3y =5 -------> eq (1)

2x -5y =9 -------> eq(2)

eq(2) * -2 --------> -4x +10y =-18 ------->eq(3)

eq(1) + eq(3) -----> 13y =13 ----> y=1 <>

then When you substitute y=1 into any equation

x=7

Answer:

6 oranges

Step-by-step explanation:

4x125g= 500g

2x170g= 340g

3x135g= 405g

500+340+405= 1,245g

1.785kg= xg

1.785x1,000= 1,785g

1,785-1,245g= 540g

each orange weighs 90g

540/90= 6

Ken buys 6 oranges.

Considering the calculation of total weight of the fruit Ken bought, Ken buys 6 oranges.

Ken buys

So, the total weight of the fruit Ken bought is the sum between the weight of each fruit multiplied by the amount of that fruit bought:

4 apples× 125 g + 2 bananas× 170 g + 3 peaches× 135 g + amount of oranges× 90 g= total weight of fruit

The fruit has a total weight of 1.785 kg= 1785 g, being 1 kg=1000 g. So:

4 apples× 125 g + 2 bananas× 170 g + 3 peaches× 135 g + amount of oranges× 90 g= 1785 g

Solving:

500 g + 340 g + 405 g + amount of oranges× 90 g= 1785 g

1245 g + amount of oranges× 90 g= 1785 g

amount of oranges× 90 g= 1785 g - 1245 g

amount of oranges× 90 g= 540 g

amount of oranges= 540 g÷ 90 g

amount of oranges= 6

In summary, Ken buys 6 oranges.

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The smallest number of cars that can tailgate in a straight line at a football game is 12.

This can be determined by using a logic puzzle approach. If one car is in front of four cars, that's 5 cars in total. If one car is behind four cars, that's also 5 cars. And if three cars are between two cars, that's 5 sets of two cars, or 10 cars. The total number of cars is 5 + 5 + 10 = 20.

This logic puzzle approach is not applicable for all problems. It depends on the specific problem and the information provided. For certain types of problems, a different approach or method may be more appropriate. The key is to understand the problem, determine the necessary information, and select the best approach to solve it.

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Answer:

3*x + y = 25

Step-by-step explanation:

Here we have the sentence:

"three times a number (let's call it x) added to another number (let's call it y) gives 25"

We can write this as:

3*x  (3 times the first number)

+  y  (added to another number)

= 25  (gives 25)

Writing this as an equation, we get:

3*x + y = 25

This is the equation we wanted.

The first two graphs of the functions are odd functions and the last one is an even function.

It is defined as a special type of relationship and they have a predefined domain and range according to the function.

We know that if we rotate odd functions 180° about the origin, we will get the same graph.

As we can see from the first two graphs of the functions if we rotate 180° about origin we will get the same graphs.

For even functions, if reflect the graph about the y-axis we will get the same curve.

In the last graph of a function, it will remain the same when we reflect on the graph about the y-axis.

Thus, the first two graphs of the functions are odd functions and the last one is an even function.

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