find the area of the given shape (please help)

Answer:

Step-by-step explanation:

Suppose F represents the value that a room is unlocked.

Then, we can assume that the probability of unlocked homes is:

P(unlocked homes) = P(U)

P(unlocked homes) = 40%

P(unlocked homes) = 0.40

Also, let us represent the value of the locked room with G.

P(locked homes) = P(G)

P(locked homes) = (1 - 0.40)

P(locked homes) = 0.60

Let the probability of selecting a correct key be P(S)

It implies that for the agent to use 3 keys, we have a combination of \(^8C_3\) possible ways for the set of keys.

Now; since only one will open the house, then:

P(select correct key) = P(S)

\(P(S) = \dfrac{ (^1_1) (^7_2) }{ ^8_3 }\)

\(P(S) = \dfrac{21}{56}\)

P(S) = 0.375

Finally, for the real estate agent to have access to specific homes supposing the agent select three master keys at random prior to the time he left his office, Then:

P(F ∪ (G∩S) = P(F) + P(G∩S)

P(F ∪ (G∩S) = P(F) + P(G) × P(S)

P(F ∪ (G∩S) = 0.40 + (0.60×0.375)

P(F ∪ (G∩S) = 0.40 + 0.225

P(F ∪ (G∩S) =0.625

Answer:

Height= 8341.6 feet

Step-by-step explanation:

A surveyor determined the height of the new summit by measuring the angle of elevation to the top to be 37°46'. She then moved 1000 feet closer to the volcano and measured the angle of elevation to be 40°30'.

40°30'= 40.5°

37°46'= 37.767°

b = 180-40.5

b= 139.5°

a= 180-139.5-37.767

a= 2.733°

Using sine method

1000/Sina= y/sinB

1000/sin 2.733= y/sin 139.5

(1000*sin 139.5)/sin 2.733= y

(1000*0.6494)/0.04768= y

13619.96= y

Y= 13620 feet

Height/sin 37.767= 13620

Height=13620*sin37.767

Height= 8341.59

Height= 8341.6 feet

Answer:

2 seconds

Step-by-step explanation:

Given 27 pages printed in 54 seconds, we can determine the average time it'll take to print one page by dividing 54 by 27.

54 / 27 = 2

Answer:

  it depends on what he means

Step-by-step explanation:

The friend needs to clarify the meaning of "if three lines intersect each other." If Line A intersects lines B and C, there will be two points of intersection, one at line B and one at line C.

If those lines are all in the same plane, and B and C are not parallel, so that line B intersects line C, then there will be a total of three points of intersection.

If the point of intersection of B and C is also the point where line A intersects them, then there will be only one point of intersection.

__

So, if the meaning is "if there are three non-parallel lines in the same plane, and each intersects the other two", then the Line Intersection Postulate guarantees there will be 1 or 3 points of intersection.

If the meaning is "if there are three lines not necessarily in the same plane, and one intersects the other two (but those two don't intersect each other)", then there may be 1 or 2 points of intersection (allowing that all lines may intersect at the same point).

A) The variable is n, which represents the number of the figure in the pattern.

B) Here is a table for up to 8-figure patterns:

Figure Number of Cheerios

1                      1

2                      3

3                      6

4                     10

5                     15

6                     21

7                    28

8                    36

C) The equation to represent the nth term of the sequence is n(n+1)/2.

D) If the pattern continues, the figure number that will have 20 whole Cheerios in it is 12.

E) It is not reasonable to think this pattern would continue forever. The number of Cheerios in each figure is increasing by 2 each time. This means that the number of Cheerios in the figure will eventually exceed the number of Cheerios in a box.

F) Based on the information provided, the largest figure number we can have using a full box of Cheerios is 107. This is because there are 108 Cheerios in a box, and the number of Cheerios in each figure is increasing by 2 each time.

Here is a more detailed explanation of how to answer each question:

A) Identify and label the variable

The variable is n, which represents the number of the figure in the pattern. For example, the first figure is figure 1, the second figure is figure 2, and so on.

B) Make a table for up to 8-figure patterns

Here is a table for up to 8-figure patterns:

Figure Number of Cheerios

1                        1

2                        3

3                        6

4                        10

5                        15

6                        21

7                        28

8                        36

C) Write an equation to represent the nth term of the sequence

The equation to represent the nth term of the sequence is n(n+1)/2. This equation can be derived by looking at the table of values. For example, the number of Cheerios in the first figure is 1, which is equal to 1(1+1)/2. The number of Cheerios in the second figure is 3, which is equal to 2(2+1)/2. And so on.

D) If the pattern continues, what figure number will have 20 whole Cheerios in it?

If the pattern continues, the figure number that will have 20 whole Cheerios in it is 12. This can be found by solving the equation n(n+1)/2 = 20. The solution is n = 12.

E) Is it reasonable to think this pattern would continue forever? If not, explain.

It is not reasonable to think this pattern would continue forever. The number of Cheerios in each figure is increasing by 2 each time. This means that the number of Cheerios in the figure will eventually exceed the number of Cheerios in a box.

F) Based on the information provided, what is the largest figure number we can have using a full box of Cheerios?

Based on the information provided, the largest figure number we can have using a full box of Cheerios is 107. This is because there are 108 Cheerios in a box, and the number of Cheerios in each figure is increasing by 2 each time.

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The first tip is to travel by public transport instead of using your own vehicle. The second tip would be to stop smoking and drinking it is a total waste of money and health.

Saving is the method of saving your money for the future. We can not predict the future if anything bad happens and we need a large amount of money these savings will help us.

The first tip is to travel by public transport instead of using your own vehicle. The second tip would be to stop smoking and drinking it is a total waste of money and health.

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the p-value is between 0.05 and 0.1, which means we can conclude that there is weak evidence against the null hypothesis at the 5% level of significance.the answer is 0.05 < p < 0.1.

To find the p-value for a chi-square test for homogeneity, we need to use the chi-square distribution table with the appropriate degrees of freedom and compare the computed chi-square statistic to the critical value at the desired level of significance.

The degrees of freedom for a chi-square test for homogeneity is given by the formula df = (r - 1) * (c - 1), where r is the number of rows and c is the number of columns in the contingency table. In this case, we have three populations and one categorical variable with three values, so the contingency table has 3 rows and 3 columns. Therefore, the degrees of freedom is df = (3 - 1) * (3 - 1) = 4.

Using the chi-square distribution table with 4 degrees of freedom and looking up the value of chi-square at 2.05, we can see that the corresponding p-value is between 0.1 and 0.05. Specifically, the p-value is between 0.05 and 0.1, which means we can conclude that there is weak evidence against the null hypothesis at the 5% level of significance.

Therefore, the answer is 0.05 < p < 0.1.

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Answer:

x = 21

Step-by-step explanation:

As stated in the hint: When angles form a linear pair, their sum is 180° in other words, these are supplementary angles:

3x + 18 + 4x + 15 = 180 add like terms

7x + 33 = 180 subtract 33 from both sides

7x = 147 divide both sides by 7

x = 21

Answer:

both a and b are correct

Answer:

C. Neither type offers benefits unless you suffer a loss.

\(\qquad\qquad\huge\underline{{\sf Answer}}♨\)

Let's solve ~

\(\qquad \tt \dashrightarrow \:x - \dfrac{1}{2} \geqslant 43 \)

\(\qquad \tt \dashrightarrow \:x \geqslant43 + \dfrac{1}{2} \)

\(\qquad \tt \dashrightarrow \:x \geqslant \dfrac{86 + 1}{2} \)

\(\qquad \tt \dashrightarrow \:x \geqslant \dfrac{87}{2} \)

hope this helps Belinda aunty ~

Answer: 12

Step-by-step explanation:

Substitute the value of the variable into the equation and simplify.

Answer:

Step-by-step explanation:

it is 8

Answer:

The system has 4 solutions

Step-by-step explanation:

When the two lines meet at a point it means that the point is a solution, in this case the lines meet 4 times.

Answer:

It could be 0, is the question multiple choice?

a horizontal line always has a slope of 0, now, for the sake of a silly proof, let's do some rigamarole to get it.

to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below

\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{7}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{7}-\stackrel{y1}{7}}}{\underset{\textit{\large run}} {\underset{x_2}{7}-\underset{x_1}{(-3)}}} \implies \cfrac{0}{7 +3} \implies \cfrac{ 0 }{ 10 } \implies \stackrel{ }{\text{\LARGE 0}}\)

Answer:

The choice;

\( - 1.45x - 3.41\)

I hope I helped you^_^

Answer:

\(3.81x - 5.26x - 4.94 + 1.5 = \\ = - 1.45x - 3.41\)

Answer: D.

Step-by-step explanation:

Water is continually pumped out of underground aquifers to prevent flooding and to provide drinking water. This makes the soil compact, causing the city to sink.

Answer:

The correct answer is D. underground aquifers being over pumped

Step-by-step explanation:

Answer:

86 is the answer as it is the number after 85

Answer:

2b-8<=25

Step-by-step explanation:

2b-8<=25

2b because "twice a number".

Please confirm that this is correct before using.

Answer:

a) P = 0.274925

b) required confidence interval = (0.2705589, 0.2793344)

c) FALSE

d) FALSE

e) TRUE

f) There is still probability that he would win. And it would be highly unusual if he wins assuming that the true population proportion is 0.274925.

Step-by-step explanation:

a)

PROBABILITY

since total number of simulations is 40,000 and and number of times Donald Trump wins an Electoral College majority in the 2020 US Presidential Election is  10,997

so the required Probability will be 10,997 divided by 40,000

P = 10997 / 40000 = 0.274925

b)

To get 95% confidence interval for the parameter in question a

(using R)

>prop.test(10997,40000)

OUTPUT

1 - Sample proportion test with continuity correction

data: 10997 out of 40000, null probability 0.5

x-squared = 8104.5, df = 1, p-value < 2.23-16

alternative hypothesis : true p ≠ 0.5

0.2705589  0.2793344

sample estimate

p

0.274925

∴ required confidence interval = (0.2705589, 0.2793344)

c)

FALSE

This is a wrong interpretation of a confidence interval. It indicates that there is 95% chance that the confidence interval you calculated contains the true proportion. This is because when you perform several times, 95% of those intervals would contain the true proportion but as the confidence intervals will vary so you can't say that the true proportion is in any interval with 95% probability.

d)

FALSE

Once again, this is a wrong interpretation of a confidence interval. The confidence interval tells us about the population parameter and not the sample statistic.

e)

TRUE

This is a correct interpretation of a confidence interval. It indicates that if we perform sampling with same sample size (40000) several times and calculate the 95% confidence interval of population proportion for each of them, then 95% of these confidence interval should contain the population parameter.

f)

The simulation results obtained doesn't always comply with the true population. Also, result of one simulation can't be taken for granted. We need several simulations to come to a conclusion. So, we can never ever guarantee based on a simulation result to say that Donald Trump 'Won't' or 'Shouldn't' win.

There is still probability that he would win. And it would be highly unusual if he wins assuming that the true population proportion is 0.274925.

Answer:

1/2 of 24 = 12

1/6 of 24= 4

1/4 of 24 = 6

Step-by-step explanation:

divide

Answer:

Step-by-step explanation:

area of the triangle=1/2×19×6=57 cm²

Answer:

ii

Step-by-step explanation:

you have to look and read it it comes simple

Answer:

x = 34

Step-by-step explanation:

3(x+6)-x=86

3x+18-x =86

2x+18 =86

2x =68

x=34

The required coordinate of B' is B' = (4, -5), across the y-axis after reflection. Option A is correct.

Transform the shapes on a coordinate plane by rotating, reflecting, or translating them.

here,
Given that a point B (-4, -5) is reflected across the y-axis, the Coordinate of image B' is to be determined.

Since the coordinate is reflected across the y-axis,
The equation of trasformation is given as,
(x , y) ⇒ (-x , y)

So, the image of B,

B' = (-(-4), -5)

B' = (4, -5)

Thus, the required coordinate of B' is B' = (4, -5), across the y-axis after reflection. Option A is correct.

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Answer:

2x-3y+z

Step-by-step explanation:

-2x-y-2z+4x-2y+3z

combine like terms

-2x+4x= 2x

-y-2y= -3y

-2z+3z= z

so..

2x-3y+z

Answer:

dunno

Step-by-step explanation:

The biggest standard deviation belongs to B. 1,6,3,15,4,12,8. This is due to the fact that this data set's range of values is substantially wider than that of the other sets, which raises the standard deviation.

what does standard deviation mean?

In statistics, standard deviation is a measure of the amount of variability or dispersion in a set of data. It measures how spread out the data is from the mean or average value.

The standard deviation serves as a gauge for how widely dispersed from the mean a set of data is. It is calculated by averaging the squared deviations from the mean, or variance, which is the variance expressed as a square root. In statistics and probability theory, the standard deviation is frequently used to quantify the variability of a data collection. It is crucial to understand that standard deviation differs from a data set's range, which is only the difference between greatest and lowest values.

Because standard deviation accounts for all of the data points in the set, it is a more accurate statistic.

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Complete Question:

Which data set has the largest standard deviation

A.3,4,3,4,3,4,3

B.1,6,3,15,4,12,8

C. 20, 21,23,19,19,20,20

D.12,14,13,14,12,13,12

Answer:

BT=CT the first one because BAT=CAT and bc cut the similar vector between these two triangle

The 30th term of the expansion\((5r+s)^{32\) is\(12,400r^2 * s^{30.\)

To find the 30th term of the expansion \((5r+s)^{32\), we can use the binomial theorem. The binomial theorem allows us to expand expressions of the form\((a + b)^n\), where "a" and "b" are constants and "n" is a positive integer.

The binomial theorem states that the coefficient of the kth term in the expansion is given by the formula:\(C(n, k) * a^{(n-k)} * b^k,\) where C(n, k) represents the binomial coefficient, also known as "n choose k."

In this case, our expression is \((5r+s)^{32.}\) We can identify "a" as 5r and "b" as s, so we need to find the coefficient of the 30th term in the expansion.

Using the formula mentioned above, the 30th term will have a binomial coefficient of C(32, 30), multiplied by \((5r)^{(32-30)\)and\((s)^{30.}\)

To calculate the binomial coefficient, we use the formula: C(n, k) = n! / (k! * (n-k)!), where "!" denotes factorial.

In this case, C(32, 30) = 32! / (30! * (32-30)!) = 32! / (30! * 2!) = (32 * 31) / (2 * 1) = 496.

Thus, the 30th term of the expansion \((5r+s)^{32\) is given by: \(496 * (5r)^{(32-30)} * (s)^{30} = 496 * (5r)^2 * s^{30} = 496 * (25r^{2}) * s^{30}.\)

Therefore, the 30th term of the expansion \((5r+s)^{32}\) is \(12,400r^2 * s^{30.\)

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