find a · b. a = 3i + 3j-k, b=-5i + 8k

The probability of a bluebird egg taking more than 14 days to hatch, based on the data provided, is 6/7 or approximately 0.86.

Probability is a measure of the likelihood of an event occurring. It is represented by a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. The probability of an event can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

In this case, the event we are interested in is the probability of a bluebird egg taking more than 14 days to hatch. We can calculate this probability by dividing the number of eggs that took more than 14 days to hatch by the total number of eggs.

According to the data provided, there were 6 eggs that took more than 14 days to hatch, out of a total of 7 eggs. Therefore, the probability of a bluebird egg taking more than 14 days to hatch, based on this data, is 6/7 or approximately 0.86.

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Answer:

\(( + 4h) {}^{2} \\ when \: h \: = 0 \\ (4 \times 0) {}^{2} \\ = 0\)

Answer: When you reflect a point across the x-axis the x-coordinate remains the same, but the y-coordinate is transformed into its opposite

Step-by-step explanation:

A simple linear regression model predicts the response variable using a single predictor variable. In this case, the average relative skill is used to predict the total number of wins in a regular season.

In simple linear regression, the relationship between the predictor variable (average relative skill) and the response variable (total number of wins) is represented by the equation:

Wins = Intercept + Slope * Average Relative Skill

The overall F-test assesses the significance of the linear relationship between the predictor and response variables. The steps of this hypothesis test are as follows:

a. Null Hypothesis (H0): There is no significant linear relationship between average relative skill and the total number of wins in a regular season.

b. Alternative Hypothesis (Ha): There is a significant linear relationship between average relative skill and the total number of wins in a regular season.

c. Level of Significance: The chosen significance level (typically 0.05) determines the threshold for accepting or rejecting the null hypothesis.

d. The F-test statistic evaluates the overall significance of the regression model. It compares the explained variation (due to the model) to the unexplained variation (residuals). The associated p-value determines the statistical significance of the F-test.

By comparing the test statistic to the critical value and considering the p-value, we can make conclusions about the significance of the linear relationship between average relative skill and the total number of wins.

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Answer:

hope it helps

area of parallelogram: base × height = 17.6 cm sq

                                  ⇒ 4 × h = 17.6

                                  ⇒ h = 17.6/4

                                  ⇒ h = 4.4 cm

Step-by-step explanation:

The height of the parallelogram is 4.4 cm.

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

Given that, a area of a parallelogram is 17.6 cm² and its base is 4cm.

We know that, the area of parallelogram is Base × Height

Now, 17.6 =4× Height

Height =17.6/4

Height =4.4 cm

Therefore, the height of the parallelogram is 4.4 cm.

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"Your question is incomplete, probably the complete question/missing part is:"

If a area of a parallelogram is 17.6 cm square and its base is 4cm, find its corresponding height .​

Answer:

x = 14\(\sqrt{2}\)

y = 14

z= 14\(\sqrt{3}\)

Step-by-step explanation:

Notice that the top triangle is a 45-45-90 triangle and the triangle below is a 30-60-90 triangle.

Using the fact that the top triangle is a 45-45-90 triangle and also an isosceles triangle, we can see that x will be the same as its respective leg, 14\(\sqrt{2}\)

Now, we must find a side length of the bottom triangle. We can use the Pythagorean Theorem to find the third side of the top triangle, which is also a side of the bottom triangle. We can find that the third side must be 28. We can now use this to find the other sides of the bottom triangle.

Since y is opposite to the 30 degree angle, it is half of the hypotenuse. The hypotenuse which we found earlier is 28, therefore, y is 14. z is then 14\(\sqrt{3}\) using either Pythagorean Theorem or special right triangle properties for 30-60-90.

To find x we need to remember the definitions of the trigonometric functions:

Now, from the figure we notice that we know the adjacent leg to the angle given; and that we want to know the opposite leg of the same angle. Comparing what we know and what we want we conclude that we need to use the tangent function. Plugging the values into the definition of the function we have:

Solving for x we have:

Therefore x=1.8

Answer:

13%

Step-by-step explanation:

Percentage of tulips=100%-75%

=25%

Percentage of pink tulips=50%×25%

=12.5%

Hence, the option with 13% is closest to 12.5% when it is rounded off to the nearest ten.

Thus, the answer is 13%.

hope it helps!!!

The probability that a randomly chosen flower from the arrangement is a pink tulip would be 0.125.

Probability of an event is the ratio of number of favorable outcomes to the total number of outcomes. Probability measures the possibility of any event to occur.

Given is that Seventy-five percent of the flowers in the arrangement are roses and the rest are tulips. Of the tulips, 50 percent are pink.

Probability that the selected flower is a tulip is -

P{T} = 25/100 = 1/4

The probability that a randomly chosen flower from the arrangement is a pink tulip would be -

P{Pink Tulip} = (50% of 25)/100

P{Pink Tulip} = (50/100 x 25)/100

P{Pink Tulip} = (50/4)/100

P{Pink Tulip} = 12.5/100

P{Pink Tulip} = 0.125

Therefore, the probability that a randomly chosen flower from the arrangement is a pink tulip would be 0.125.

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Answer:

-98k + 42

Step-by-step explanation:

7(1-9k)-5(4K+7)

-distribute

7 - 63k - 20k - 35

-combine like terms

42 - 98k

coefficient always comes first in an expression. NEVER LEAVE THE CONSTANT FIRST WHEN REVEALING YOUR FINAL ANSWER!!!

hence,

-98k + 42

Answer:

tis d

Step-by-step explanation:

Given:

a.) He has 12 1/2 cups of milk.

b.) The chef has 3 1/2 more cups of broth than milk.

Step 1: Since it is said that the chef has 3 1/2 more cups of broth than milk, and he has 12 1/2 cups of milk, we will be adding 3 1/2 and 12 1/2 to get the actual number of cups of broth.

We get,

In adding mixed numbers, we add separately the whole numbers and fractions and add them together later on.

Therefore, the chef has 16 cups of broth.

Step 2: Let's now determine the remaining cups of broth after using 14 1/2 cups to make soup. We will be subtracting the current 16 cups of broth by 14 1/2 cups for the soup.

We get,

Let's first convert them into similar fractions before subtracting.

Let's now proceed in subtracting them,

Therefore, the chef will have a remaining 1 1/2 cups of broths after using 14 1/2 cups for the soup.

Answer:

K = 12

Step-by-step explanation:

10 Cos 30° – 3 Tan 60°

The above expression can be simplified as follow:

10 Cos 30° – 3 Tan 60°

Recall:

Cos 30° = √3/2

Tan 60° = √3

Therefore,

10 Cos 30° – 3 Tan 60°

10 (√3/2) – 3(√3)

5√3 – 3√3

(5 – 3) √3

2√3

To write the above expression 2√3 in the form √K, we simply do the following:

2√3

Find a number, such that the square root of the number will result to 2. The number is 4 as shown below

√4 = 2

Next, replace 2 with √4 in the expression above

2√3

= √4 × √3

= √(4 × 3)

= √12

Therefore,

2√3 = √12

Comparing √12 with √K,

√12 = √K

K = 12

Answer:

13.24 ft

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. You have:

Sinα=opposite/hypotenuse

α=62°

opposite=x

hypotenuse=15 ft

2. When you substitute the values into  Sinα=opposite/hypotenuse, you obtain:

Sinα=opposite/hypotenuse

Sin(62°)=x/15

3. You must clear "x", as below:

x=(15)(Sin(62°))

x=13.24 ft

The answer is. 13.24 ft

The area of the shaded region shown in the figure is 80π unit²

An equation is an expression that shows the relationship between two or more variables and numbers.

Area of the shaded region = area of semicircle IL - area of semicircle JK + area of semicircle IJ + area of semicircle KL

Area of the shaded region = area of semicircle IL + area of semicircle IJ = (0.5 * π * 12²) + (0.5 * π * (12/3)²) = 80π

The area of the shaded region shown in the figure is 80π unit²

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Answer: Around 90 degrees. Atleast 87 or so.

Step-by-step explanation:

Acute angles are 90 degrees, so I estimated it would be a little less then that, for the other angle measures 128 as it says on your picture.

Stay safe! I’m sorry if it didn’t help you much.

Answer:

The coordinates of D is actually (8,10)

Step-by-step explanation:

8,10

did the math by counting up with y and x axis

Answer:

y = (5x) / 4 <----Line l

Step-by-step explanation:

(y - 5)(8 - 4)=(x - 4)(10 - 5)

4y - 20 = 5x - 20

Answer:

x = 24

Step-by-step explanation:

10(x+12)=15x  (Given)

10x + 120 = 15x (Distributive property of equality)

-5x = -120 (Subtraction property of equality)

x = 24 (Division property of equality)

Thus, the number of plays seen by Dr. H. Howard Hughes in an average year is about 198 plays.

The term "average" is used in mathematics to describe the result of dividing the sum of a collection of numbers by the total number of the numbers there in data set.

When you calculate the average, you obtain the central number, which you may use as a proxy for the complete set of data. The mean, its median, the mode, and the range are other names for the average.

Given data:

Total matches seen by Dr. H. Howard Hughes = 6,136 plays

Total time = 31 years.

average = sum of value / total values

average year  = 6,136 / 31

average year  = 197.93

average year = 198 plays

Thus, the number of plays seen by Dr. H. Howard Hughes in an average year is about 198 plays.

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Answer:

$9 of tip

Step-by-step explanation:

59.73 = 60

15% of 60 = 9

Answer:

.69 rounded to the nearest hundredth

Step-by-step explanation:

The point that lies on the circle is represented by the equation (x−3)² + (y+4)² = 6² is (-3,-4).

A circle can be characterized by its center's location and its radius's length.

Let the center of the considered circle be at (h, k) coordinate. Let the radius of the circle be 'r' units.

Then, the equation of that circle would be:

(x-h)² + (y-k)² = r²

The sole point that lies on the circle when a circle is graphed with the equation on the graph and all the specified points are graphed is (-3,-4).

Consequently, the equation (x-3)² + (y+4)² = 6² represents the point on the circle (-3,-4).

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The Coase theorem suggests that in situations like this, bargaining between the two parties can lead to an efficient outcome. In this case, the smoker and non-smoker (roommate and you) could negotiate to find a solution that minimizes the total cost to both parties.

For example, the smoker could agree to smoke outside or use an air purifier, while the non-smoker could offer to pay a portion of the cost of these solutions. Ultimately, the Coase theorem suggests that as long as property rights are clearly defined and transaction costs are low, the two parties can negotiate to find a mutually beneficial solution to the problem of smoking in the apartment.

1. Clearly defining property rights: Establish whether the apartment has a non-smoking policy or if you have the right to a smoke-free environment within your living space.

2. Engaging in negotiation: Communicate your concerns to your roommate and discuss the negative effects of their smoking on you.

3. Finding a mutually beneficial solution: Both parties can negotiate and arrive at a compromise. This could include your roommate agreeing to smoke outside, designating a specific area for smoking, or using a smoke-filtering device. In some cases, you may also consider offering compensation or splitting the costs of a smoke-filtering device.

By following these steps, both you and your roommate can reach an efficient solution that reduces the cost imposed on you due to your roommate's smoking.

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if  Lines p and q are also parallel to each other then value of x is 100, option C is correct.

Parallel lines are coplanar infinite straight lines that do not intersect at any point.

The known angle is supplementary with angle A (Look at the attachment), that means that the sum of the known angle and A is 180°, therefore the value of angle A is 80°

Angle A and B are corresponding angles, which means that they have the same value, that happens because p and q are parallels and both cut line n  in the same way. the value of the angles B is 80°

Angles B and C are corresponding too, so the value of the angle C is 80°.

Angles C and X are supplementary too for which the sum of X and C  is 180°, so the value of X is 100°

Hence, if  Lines p and q are also parallel to each other then value of x is 100, option C is correct.

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\(\huge\boxed{Hi\:there!}\)

\(\huge\sf{3x=9^2}\)

\(\huge\sf{3x=81}\)

\(\huge\sf{Divide\:both\:sides\:by\:3\:to\:isolate\:x:}\)

\(\huge\sf{x=27}\)

\(\huge\boxed{Hence,\:x=27.}\)

\(\huge\sf\underline{Hope\:it\:helps}\)

\(\boxed{CheerfulGirlie\:here\:to\:help}\)

Find the value of x

3x = 9²

x = 27

=> 3x = 9²

=> 3x = 81 [9² = 9×9 = 81]

=> x = 81/3

=> x = 27

The time series plot of the given data shows the number of lightning strikes in a particular county for seven months.

Based on the pattern observed in the data, it appears to follow a seasonal pattern. This can be seen from the fluctuation in the values over time, where there is a recurring pattern or cycle. The values go through periods of increase and decrease, suggesting a seasonal influence on the occurrence of lightning strikes in the county.

Therefore, the correct answer is (a) The data appear to follow a seasonal pattern. This indicates that there is a regular, predictable variation in the number of lightning strikes over the months, likely influenced by factors such as weather conditions or other seasonal factors that affect the occurrence of lightning.
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The postfix expression of "7+5-3*2(6*7)/4" is "7 5 + 3 2 * 6 7 * 2 * - 4 /". Evaluating the postfix expression gives the result of the expression. The prefix expression for the given infix expression is "/ - + 7 5 * 3 * 2 ( * 6 7 ) 4".

To convert the infix expression "7+5-3*2(6*7)/4" into postfix expression, we follow the rules of operator precedence and associativity. The postfix expression is obtained by placing operators after their operands.

The postfix expression for the given infix expression is:

"7 5 + 3 2 * 6 7 * 2 * - 4 /"

To evaluate the postfix expression, we use a stack data structure. We scan the postfix expression from left to right and perform the corresponding operations.

Starting with an empty stack, we encounter the operands "7" and "5". We push them onto the stack. Then we encounter the operator "+", so we pop the last two operands from the stack (5 and 7), perform the addition operation (7 + 5 = 12), and push the result back onto the stack.

We continue this process for the remaining operators and operands in the postfix expression. Finally, after evaluating the entire expression, the result left on the stack is the final answer.

To convert the infix expression into prefix expression, we follow similar rules but scan the expression from right to left. The prefix expression is obtained by placing operators before their operands.

The prefix expression for the given infix expression is:

"/ - + 7 5 * 3 * 2 ( * 6 7 ) 4"

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The solution of the equation, (x + 5)² = 9  is x = -2 or x - 8.

The equation (x + 5)² = 9 can be solved as follows:

Therefore, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Therefore, let's solve for the variable x in the equation. A variable is a number represented by a letter in an equation.

Hence,

(x + 5)² = 9

(x + 5)(x + 5) = 9

x² + 5x + 5x + 25 = 9

x² + 10x + 25 = 9

x² + 10x + 25 - 9 = 0

x² + 10x + 16 = 0

x² + 2x + 8x + 16 = 0

x(x + 2) + 8(x + 2) = 0

(x + 2)(x + 8) = 0

Therefore,

x = - 2 or x  = -8

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Answer: moderate, C, B

Step-by-step explanation:

A)  A shows a moderate negative correlation.  It is moderate because the scattered points are sort of close to the line so it has moderate/medium correlation.  It is also negative because it has a negative slope

B) C shows the strongest correlation because the points around the line are tight and close.

C)  B should not have been drawn.  The  correlation is very weak.  You do know where the line should be because the points are all over the place.

Based on the calculation, we would expect about 760 visitors out of 1600 to buy no costume.

Out of the 182 + 178 + 24 = 384 visitors on the given day, 182 purchased no costume. This means that the proportion of visitors who purchased no costume is:

182/384 = 0.474

To estimate how many visitors out of 1600 would buy no costume, we can use this proportion:

0.474 x 1600 = 758.4

Rounding this to the nearest whole number, we get: 760

Therefore, we would expect about 760 visitors out of 1600 to buy no costume.

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