plz answer this qustion

Answer: It is impossible for two obtuse angles to be a straight angle

Step-by-step explanation:

Definition of a straight angle: An angle that is exactly 180 degrees

Definition of obtuse angle: An angle that is more than 90 degrees

1)  X = obtuse angle

x > 90

Set minimum to test:

x = 91

2) Set up the question

(<= less than or equal to)

2x <= 180

3) Sub the first equation

2(91) <= 180

182 <= 180

4) Answer the question

It is impossible for two obtuse angles to be a straight angle

Answer:

D) \(1 < x\leq 4\)

Step-by-step explanation:

1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)

Answer:

2 people can have 18 cupcakes each

3 people can have 12 cupcakes each

4 people can have 9 cupcakes each

9 people can have 4 cupcakes each

Step-by-step explanation:

Answer: 1,2,3,4,6,9,12,18,36

Step-by-step explanation:

The mean is found by adding up all the values and dividing by the number of values, which gives us (12+8+4+12+4+9+16)/7 = 9.4. Therefore, the median is 9 and the mean is 9.4.

The median is the middle value when the data is arranged in order, which in this case is 9. The mean is found by adding up all the values and dividing by the number of values, which gives us (12+8+4+12+4+9+16)/7 = 9.4. Therefore, the median is 9 and the mean is 9.4.

To find the median and mean for the given data set, follow these steps:

1. Arrange the data in ascending order: 4, 4, 8, 9, 12, 12, 16
2. Median: The middle value in the ordered data set. Since there are 7 values, the median is the 4th value: 9
3. Mean: The sum of all values divided by the number of values. (4 + 4 + 8 + 9 + 12 + 12 + 16) / 7 = 65 / 7 ≈ 9.29

So, the median is 9, and the mean is approximately 9.29.

Visit here to learn more about median  :  https://brainly.com/question/28060453
#SPJ11

As the total number of weekly reservations remains the same. The average number of booked rooms is likely to decrease.

By offering a discount on three-bed rooms, some customers who would have originally booked a different type of room now book a three-bed room instead. This means that the number of three-bed rooms booked will increase, while the number of other room types booked will decrease.

Since the total number of weekly reservations remains the same, the increase in three-bed room bookings must be offset by a decrease in bookings for other room types. This means that the average number of booked rooms will likely decrease.

For example, suppose there were originally 50 room bookings, consisting of 20 three-bed rooms and 30 other room types. If the discount on three-bed rooms leads to 25 bookings for three-bed rooms and 25 bookings for other room types, then the average number of booked rooms would be (25 x 3 + 25 x 1) / 50 = 2, which is lower than the original average of (20 x 3 + 30 x 1) / 50 = 1.8.

Therefore, the average number of booked rooms is likely to decrease when a discount is offered on three-bed rooms, even if the total number of weekly reservations remains the same.

Learn more average here brainly.com/question/24057012

#SPJ4

Answer:

Answer

Answer in decimal

11.8998

Answer: x= 6

Step-by-step explanation:

Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.  

You can see they do not look the same so they add up to equal 180

12x + 3 +105 = 180

12x + 108 = 180

12x = 72

x = 6

Step-by-step explanation:

To determine if a system of two equations with two unknowns has infinite solutions using matrices, you can perform Gaussian elimination or row reduction on the augmented matrix of the system. If the reduced form of the matrix is the identity matrix, then the system has a unique solution. If the reduced form is a row of zeros except for the last column, then the system has no solution. If the reduced form has a row with all zeros except for the last column being non-zero, then the system has an infinite number of solutions.

In other words, the system has infinite solutions if the row reduced form of the augmented matrix has a row of the form [0 0 c], where c is a non-zero scalar. This means that there is a non-trivial solution that satisfies the equation, indicating that there are infinitely many solutions.

Answer:

t=40+20w

can i get a brainiest bottom right of my answer click the crown

Answer:

T= 40 + 20w

Step-by-step explanation:

You open a bank account with $40, every week u add $20, so the equation will be;

40 + 20w (each week)

Answer:

2

Step-by-step explanation:

FOR PERPENDICULAR LINES WHEN THEIR GRADIENTS ARE MULTIPLIED THEY GIVE -1

BUT IF WE ARE TO CHECK IN THE LJNE y=1 the gradient is 0

there is no number when multiplied with 0 that will give us -1 it means that the gradient of the line perpendicular to the given one will also be 0

when we substitute in the general equation y=mx+c together with the points

\( - 9 = (0)(4) + c \\ c = - 9\)

IT MEANS THE EQUATION OF THE NEW EQUATION WILL BE

\(y = - 9\)

HOPE THIS HELPS

Step-by-step explanation:

x+2<−5

Step 1: Subtract 2 from both sides.

x+2−2<−5−2

x<−7

Answer:

x<−7

(a) The simplified form of g(x) is y = (3/2)*2^(2x).

(b) There are no asymptotes for the simplified function.

(c) 3/2 and a horizontal compression by a factor of 1/2.

(d) The transformed key points are (0,3/2) and (1,3).

a. Simplifying g(x) into the form y=ab^x+c, we get:

g(x) = 3*2^(1+2x-3) = 3*2^(2x-2) = (3/2)*2^(2x)+0

Therefore, the simplified form of g(x) is y = (3/2)*2^(2x).

b. The toolkit function for this simplified function is y = 2^x, which has key points at (0,1) and (1,2), and an asymptote at y = 0.

The key points of the simplified function are the same as the toolkit function, but scaled vertically by a factor of 3/2. There are no asymptotes for the simplified function.

c. The transformations on the toolkit function of the simplified function are a vertical stretch by a factor of 3/2 and a horizontal compression by a factor of 1/2.

d. To graph g(x), we start with the key points of the toolkit function, (0,1) and (1,2), and apply the transformations from part c. The transformed key points are (0,3/2) and (1,3).

There are no asymptotes for the simplified function, so we do not need to label any. The graph of g(x) shows a steep increase in y values as x increases.

Know more about asymptotes here:

https://brainly.com/question/32038756

#SPJ11

Answer:

One possible equation is  2m+16 = 40

There are other possible equations to set up as well.

That equation solves to m = 12 which means both plans cost the same when you go 12 MB over the limit (using 27 MB total).

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

Explanation:

The unlimited plan costs $40 a month no matter how much data you use.

The second plan costs $16 a month, and there are no extra fees as long as you don't go over the limit of 15 MB. If you do exceed this limit, then you're charged an extra $2 per MB. That means an extra 2m dollars is tacked onto the 16 mentioned earlier,  where m is the amount of MB you've gone over the limit. Overall, the expression 2m+16 represents the cost of the second plan. If you don't go over the limit, then you'll use m = 0 for the second plan.

Set that expression equal to 40 to set up the equation. Solving the equation leads to...

2m+16 = 40

2m = 40-16

2m = 24

m = 24/2

m = 12

If you exceed the limit by 12 MB, then both plans cost the same at $40 per month.

Note: Going 12 MB over the limit means you've used 15+12 = 27 MB.

The correlation coefficient of the security X and Y returns is closest to 0.67, indicating a moderate positive correlation between the two securities.

The correlation coefficient of the security X and Y returns is closest to 0.67. This can be calculated by dividing the covariance of the returns by the square root of the product of the variances of X and Y.

The correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges between -1 and 1, with values close to 1 indicating a strong positive correlation, values close to -1 indicating a strong negative correlation, and values close to 0 indicating a weak or no correlation.

In this case, the given covariance is 10, the variance of Security X's returns is 13%, and the variance of Security Y's returns is 17%. To calculate the correlation coefficient, we use the formula:

Correlation coefficient = Covariance / (\(\sqrt{}\)(Variance_X) * \(\sqrt\)(Variance_Y))

Plugging in the values, we get:

Correlation coefficient = 10 / (\(\sqrt\)(13%) * \(\sqrt\)(17%)) ≈ 0.67

Therefore, the closest option is 0.67, indicating a moderately strong positive correlation between the returns of Security X and Security Y.

Learn more about correlation here:

https://brainly.com/question/29978658

#SPJ11

Answer:

0,1

2,2

4,3

6,4

Step-by-step explanation:

Some Examples

4 = 1/2 (6) + 1

4 = 3 + 1

4=4

----------

2 = 1/2 (2) + 1

2 = 1 + 1

2 = 2

h

0

2

4

6

...................

Answer:

length is 19 width is 15

Step-by-step explanation:

The area of the classroom floor in the scale drawing is 247 square inches.

The area of Rectangle is length times of width.

We need to find the scale of the drawing, which is the ratio of the length in the drawing to the actual length:

19 inches / 38 feet = 0.5 inches/foot

Now we can use the scale to find the dimensions of the classroom floor in the scale drawing:

Length in scale drawing = Actual length ×  Scale

Width in scale drawing = Actual width ×  Scale

Length in scale drawing = 38 feet ×  0.5 inches/foot = 19 inches

Width in scale drawing = 26 feet ×  0.5 inches/foot = 13 inches

So the dimensions of the classroom floor in the scale drawing are 19 inches by 13 inches.

To find the area in square inches, we can multiply the length by the width:

Area in scale drawing = Length in scale drawing × Width in scale drawing

= 19 inches× 13 inches

= 247 square inches

Therefore, the area of the classroom floor in the scale drawing is 247 square inches.

To learn more on Rectangle click:

https://brainly.com/question/20693059

#SPJ2

No, p(x=5) = f(5) = 1/10 is not correct.

If x is a continuous random variable on the interval [0, 10], then the probability of x taking on any specific value (such as 5) is zero.

This is because there are infinitely many possible values that x can take on within the interval, and the probability of x taking on any one specific value is vanishingly small.

Instead, the probability of x falling within a certain range of values is what is meaningful.

This is typically represented by the probability density function (PDF) of the random variable, denoted as f(x). The probability of x falling within a range [a, b] is then given by the integral of the PDF over that range:

P(a <= x <= b) = integral from a to b of f(x) dx

For a continuous uniform distribution over the interval [0, 10], the PDF is a constant function:

f(x) = 1/10 for 0 <= x <= 10

f(x) = 0 otherwise

Using this PDF, we can find the probability of x falling within a specific range, but the probability of x taking on any one specific value is always zero:

P(x = 5) = 0

So, the statement "p(x=5) = f(5) = 1/10" is not correct for a continuous random variable.

Learn more about continuous random variable

brainly.com/question/17238189

#SPJ11

Answer:

Part A)

\(390=(15+x)(13+x)\)

Part B)

Approximately 18.77 feet long by 20.77 feet wide.

Step-by-step explanation:

Currently, the patio is 13 feet long by 15 feet wide. Therefore, the area right now is:

\(A=13(15)=195\text{ feet}^2\)

We will increase the length and width of the patio by the same amount such that the new area is double the previous amount.

Part 1)

The previous area is 195. Therefore, we would like to the new area to be twice of that. Hence, the new area is:

\(A=2(195)=390\)

We will increase the length and the width by the same amount. Let’s call this amount x. Then by the area formula (A=bh), we can write:

\(390=(15+x)(13+x)\)

390 represents the doubled area. (15+x) is the width after the increase x, and (13+x) is the length after the same x increment.

Part 2)

So, we will solve for x. First, expand:

\(390=195+15x+13x+x^2\)

Simplify:

\(x^2+28x+195=390\)

Subtract 390 from both sides:

\(x^2+28x-195=0\)

This is a quadratic. Hence, we can use the quadratic formula:

\(x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)

Our a=1, b=28, and c=-195. Hence:

\(x=\frac{-28\pm\sqrt{(28)^2-4(1)(-195)}}{2(1)}\)

Evaluate:

\(x=\frac{-28\pm\sqrt{1564}}{2}\)

Simplify the square root:

\(\sqrt{1564}=\sqrt{4}\cdot\sqrt{391}=2\sqrt{391}\)

Hence:

\(x=\frac{-28\pm2\sqrt{391}}{2}\\\)

Simplify:

\(x=-14+\sqrt{391} \text{ or } -14-\sqrt{391}\)

Approximate:

\(x\approx5.77\text{ or } x\approx-33.77\)

In this case, we can reject the negative solution.

Hence, the value of x is 5.77.

This means that we should increase the our length and width by 5.77.

Hence, the new length will be 13+5.77 or about 18.77.

And our new width will be 15+5.77 or about 20.77.

So, the new dimensions is approximately 18.77 by 20.77

Answer:

The area is 176.6

Step-by-step explanation:

The formula for the area of a circle is "πr²"

This means you square the radius, and multiply it by pi.

Our diameter is 15, and the radius is half of the diameter.

15 ÷ 2 = 7.5

Next, we square the radius. (7.5)

Let's fill it into the formula.

π7.5²

After squaring, it's this:

π56.25

In your question, pi is 3.14, so let's replace that.

(3.14)56.25

After multiplying we get 176.625, after we round, we get 176.6

176.6 is the area.

Brainliest please?  

Answer:

The area is 176.6

Step-by-step explanation:The formula for the area of a circle is "πr²"This means you square the radius, and multiply it by pi.Our diameter is 15, and the radius is half of the diameter.15 ÷ 2 = 7.5Next, we square the radius. (7.5)Let's fill it into the formula.π7.5²After squaring, it's this:π56.25In your question, pi is 3.14, so let's replace that.(3.14)56.25After multiplying we get 176.625, after we round, we get 176.6176.6 is the area.

Step-by-step explanation:

The expected time for the activity in the network diagram is 7 weeks, and the variance is 1 week.

In project management, the expected time and variance of an activity can be calculated using the PERT (Program Evaluation and Review Technique) formula. The formula takes into account the optimistic time estimate (O), the most likely time estimate (M), and the pessimistic time estimate (P).

To calculate the expected time (TE) for the activity, the formula is as follows: TE = (O + 4M + P) / 6. In this case, the optimistic time estimate is 5 weeks, the most likely time estimate is 7 weeks, and the pessimistic time estimate is 12 weeks. Plugging these values into the formula, we get (5 + 4 * 7 + 12) / 6 = 7 weeks.

The variance (V) of the activity can be calculated using the formula: V = ((P - O) / 6)^2. Substituting the values, we have ((12 - 5) / 6)^2 = 1 week squared.

Therefore, the expected time for the activity in the network diagram is 7 weeks, and the variance is 1 week.

Learn more about variance here:

https://brainly.com/question/31950278

#SPJ11

If a  traveler is walking on a moving walkway airport. The traveler's speed off the walkway is 5 ft/sec and the speed of the moving walkway is 3 ft/sec.

Speed can simply be defined as how fast an object move.

Let t represent the traveler's speed in ft/sec

Let w represent the walkway's speed in ft/sec

So,

t-w =2

t+w=8

Add the equation

2t =10

Divide both side by 2t

t= 10/2

t=5fr/sec ( traveler's speed )

Speed of moving walkway

t+w =8

5+w=8

w=8-5

w=3ft/sec

Therefore the traveler's speed off the walkway is 5 ft/sec and the speed of the moving walkway is 3 ft/sec.

Learn more about speed here:https://brainly.com/question/13943409

#SPJ1

A z-score of 2.14 indicates that Katie's score on the test is quite high and unusual, and places her in the top 2% of the scores in the population.

Katie scored a 93 on a test and her calculated z score was 2.14, that means that her score is 2.14 standard deviations above the mean of the test scores.

A z score represents the number of standard deviations a data point is from the mean of the data set.

A positive z score means that the data point is above the mean, while a negative z score means that the data point is below the mean.

The mean of the test scores was, 80 with a standard deviation of 5, then Katie's z score would be calculated as:

z = (x - μ) / σ

= (93 - 80) / 5

= 2.6

Z scores are useful for comparing data points from different data sets or for comparing data points within the same data set that are measured on different scales.

Katie's score is 2.6 standard deviations above the mean.

A z score of 2.14 would mean that Katie's score is slightly below this value, but still significantly above the mean.

For similar questions on z score

https://brainly.com/question/30462945

#SPJ11

Answer:

65/16 exact form, 4.0625 in decimal form, and 4 1/16 in mixed number form.