Hakim invested $15,000. He put part of it in a term deposit that paid simple interest of 4% per annum and the remainder in a treasury bill that paid simple interest of 5% per annum. After one year, the total interest was $690. How much money was invested in term deposit and treasury bill?

Answer: x ≈ 44

because ΔHIJ is a right triangle at J

=> sin x = 47/68

=> x ≈ 44°

Step-by-step explanation:

The remaining 50.4% of the variance has not been accounted for, and it could be due to other factors that are not captured by the two variables being studied.

If the correlation between two variables is .496, it means that 49.6% of the variance has been accounted for. This is because the correlation coefficient measures the strength and direction of the linear relationship between the two variables, and it ranges from -1 to 1.

A correlation of 1 indicates a perfect positive linear relationship, while a correlation of -1 indicates a perfect negative linear relationship. In this case, a correlation of .496 indicates a moderate positive linear relationship.

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the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.

To find the set difference C - A, we need to remove all elements from A that are also present in C. Let's examine the sets:

C = {0, 6, 12, 18}

A = {2, 4, 6, 8, 10, 12}

We compare each element of A with the elements of C. If an element from A is found in C, we exclude it from the result. After the comparison, we find that the elements 2, 4, 8, 10 are not present in C.

Thus, the set difference C - A is {0, 18}, as these are the elements that remain in C after removing the common elements with A.

Therefore, the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.

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Answer:

h(-5) = 10

Step-by-step explanation:

h(x) = -4x - 10

Let x = -5

h(-5) = -4*-5 - 10

         = 20 -10

         = 10

Answer: There are actually 3 answers for this ahaha, but this is the EXACT ONE: 21/16 in DECIMAL FORM it's 1.3125 in MIXED NUMBER FORM it's 1 5/16

Step-by-step explanation:

Answer:

you know it's right when both of the dissected angles equal to the whole angle and if the number is the same then that's right

Step-by-step explanation:

hope it helped and im.lretttsure this is correct sorry if it isn't!

Answer: Idealistically, you can write many numbers here, but for the sake of simplicity, I'll say... -7.60.

Step-by-step explanation: This isn't much in terms of written work, it's more mental math. When we're looking for a number greater than a negtaive number, but it still has to be negative, it will be less than the first number. So, what can be less than -7.81, anything -7.80 and above before you get to -7. The higher the number in the negative scale, the smaller it is. The lower the number on the negative scale, the larger it is. So make the number larger than -7.81, and less than -7.

The yy-component of vector a a is -y-direction, which is equal to 0 m/s2.the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.

Given a vector, a⃗ a→ = (5.0 m/s2, −y−direction)Find the yy -component of the given vector a⃗ a→.Solution: The yy-component of the given vector a⃗ a→ = -y-directionTo find the yy-component of the given vector a⃗ a→, we have to take the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.Therefore, the yy-component of vector a⃗ a→ is :a_yy = -y-direction = (-1)(0) = 0 m/s²  Answer: 0 m/s².

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The yy-component of vector a⃗ a→ is -y-direction.

The yy-component of a vector represents the magnitude of the vector in the y-direction.

In this case, the vector a⃗ a→ is given as (5.0 m/s2, −y-direction).

Since the yy-component is the magnitude in the y-direction, the yy-component of the vector a⃗ a→ is -y-direction.

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The argument can be used to adjust the size of the two tick labels B and 0 on the x-axis is cex.axis of the boxplot. Option D is the correct choice.

To create a boxplot of rear width (RW) by species (sp) using the boxplot function in R, you can use the following R code:
```R
boxplot(RW ~ sp, data = your_data)
```

In this code, replace 'your_data' with the name of your data frame containing the variables RW and sp.

Regarding the options for adjusting the size of the tick labels (B and 0) on the x-axis, the correct argument is (D) cex.axis. You can use this argument to set the size of the tick labels as follows:
```R
boxplot(RW ~ sp, data = your_data, cex.axis = desired_size)
```

Replace 'desired_size' with a numerical value to set the size of the tick labels.

The answer is: (D) cex.axis

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Answer:

D) y < 1/3x - 1

Step-by-step explanation:

the equation of the line is y= 1/3x-1, then the dark part represents all the values that less than the values of y. The broken line means 'strongly', then the sign should be '<'.

Answer:

4 & 7 are the correct answers for this equation.

The solution to the exponential equation is given as follows:

x = 4.

The equation for this problem is defined as follows:

4^(2x+4) = 16^(3x-6).

Looking at the left-side of the equality, we can apply the power of power property, as 16 = 4², hence:

16^(3x-6) = 4^[2(3x - 6)] = 4^(6x - 12)

(the power of power property means that we keep the base then multiply the powers relative to the same base).

Hence the equation can be written as follows, considering the simplification to the right side of the equality.

4^(2x+4) = 4^(6x - 12)

Applying the one to one property, the solution is obtained as follows:

6x - 12 = 2x + 4

4x = 16

x = 16/4

x = 4.

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The explicit formula for the sequence 5, 8, 11, 14, ... is given by the equation an = 3n + 2.

Explanation:
To find the explicit formula, we need to identify the pattern in the given sequence. We can observe that each term in the sequence is obtained by adding 3 to the previous term.
So, let's assume the first term of the sequence as a1, the second term as a2, and so on.

a1 = 5
a2 = 8
a3 = 11
a4 = 14

From this pattern, we can see that the difference between each term is 3.

Therefore, the explicit formula for the sequence can be written as:

an = a1 + (n - 1)d

where an is the nth term, a1 is the first term, n is the position of the term, and d is the common difference.

Plugging in the values, we have:

an = 5 + (n - 1)3

Simplifying further, we get:

an = 3n + 2

Conclusion:
The explicit formula for the sequence 5, 8, 11, 14, ... is an = 3n + 2. This formula allows us to find any term in the sequence by plugging in the corresponding value of n.

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Answer:

True

Step-by-step explanation:

tan B = sin B / cos B = 3/4 Let sin B =3 and cos B = 4

Cot B = cos B / sin B = 4/3

This is true

Statistical hypothesis testing employs the null and alternate hypotheses.

The alternative hypothesis of a test expresses the prediction of an effect or relationship based on your study, while the null hypothesis of the test does not yet predict an effect or an association between the variables.

A statement that there is no relationship between two variables is called a null hypothesis. Another hypothesis is that the two variables are statistically correlated.

Alternative unilateral (directional) or the bilateral (non-directional) hypotheses are also possible. Simple, complex, true, and false are the four main categories of null hypotheses. If the p-value is greater than the statistical significance level, null hypothesis is preferred.

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Answer:conjectured that F(n)≈0.72∗n∗f(n). Following that clue, we can find the following identity holds for all cases we tested by trial and error.

F(n)=nf(n)−(n−2)f(n−2)+(n−4)f(n−4)−(n−6)f(n−6)+⋯

where the sequence of summands goes on as long as the summand makes sense.

Step-by-step explanation:

There are a total of 10 possible combinations when selecting two students for the university-wide student committee from the five academic departments.

To determine the number of possible combinations when selecting two students for the university-wide student committee from the five academic departments, we can use the combination formula.

The number of combinations, denoted as C(n, r), represents the number of ways to select r items from a set of n items without regard to the order of selection.

In this case, we have five academic departments, and we want to select two students. Therefore, we can calculate C(5, 2) as follows:

C(5, 2) = 5! / (2! * (5 - 2)!)

= 5! / (2! * 3!)

= (5 * 4 * 3!) / (2! * 3!)

= (5 * 4) / 2

= 10

Therefore, there are 10 possible combinations when selecting two students for the university-wide student committee from the five academic departments.

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Answer:

4

Step-by-step explanation:

it is how many more

The points awarded to players in a certain video game are proportional to the amount of time played. For every four minutes of gameplay, players receive 1/2 point.

Additionally, for every 12 minutes of gameplay, players receive 1 1/2 points.
To calculate the number of points awarded, we can break down the gameplay time into intervals of 4 minutes and 12 minutes.

Let's consider an example:
If a player plays the game for 16 minutes, we can divide this into two intervals: 4 minutes and 12 minutes.
For the first 4 minutes, the player would receive 1/2 point.
For the next 12 minutes, the player would receive 1 1/2 points.
In total, the player would receive 2 points (1/2 point + 1 1/2 points).
This calculation can be applied to any given time interval.
The points awarded to players in this video game are calculated based on the amount of time played.

For every 4 minutes of gameplay, players receive 1/2 point, and for every 12 minutes, players receive 1 1/2 points.

To determine the total points earned, divide the gameplay time into intervals of 4 minutes and 12 minutes, and calculate the corresponding points for each interval.

Summing up all the points from the intervals will give the total points awarded.
In this video game, the number of points awarded to players is directly proportional to the amount of time played.

The game has specific rules for awarding points based on different time intervals.

For every 4 minutes of gameplay, players receive 1/2 point. This means that if a player plays the game for exactly 4 minutes, they would receive 1/2 point.

If they play for 8 minutes, they would receive 1 point (2 intervals of 4 minutes, each awarding 1/2 point). Similarly, for every 12 minutes of gameplay, players receive 1 1/2 points.

So if a player plays for exactly 12 minutes, they would receive 1 1/2 points. If they play for 24 minutes, they would receive 3 points (2 intervals of 12 minutes, each awarding 1 1/2 points).

To calculate the total points earned, we need to divide the total gameplay time into intervals of 4 minutes and 12 minutes and calculate the corresponding points for each interval.

Finally, we sum up all the points from these intervals to get the total points awarded to the player.
In the given video game, the points awarded to players are directly proportional to the time played. For every 4 minutes, players receive 1/2 point, and for every 12 minutes, players receive 1 1/2 points. By dividing the gameplay time into intervals of 4 minutes and 12 minutes, we can calculate the corresponding points for each interval and sum them up to determine the total points earned.

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Answer:

                                                                                                                                         9 cups

Step-by-step explanation:

pls ask the question properly

The sum of angle ∠FEC and angle ∠ECF is 90°. Then they are complementary angles.

Complementary angles are defined as two angles whose sum is 90 degrees. In other words, two angles that add up to 90 degrees are known as complementary angles.

We have the information available from the question:

DE is tangent to circle C, at point F.

Then prove that angle ∠FEC and angle ∠ECF are complementary angles.

We know that the radius of the circle and the tangent on the circle make a right angle at the circumference.

So, angle ∠EFC will be 90°.

and, we also know that:

The sum of all interior angles of the triangle is 180°. Then we have

∠FEC + ∠ECF + ∠EFC = 180°

∠FEC + ∠ECF + 90° = 180°

∠FEC + ∠ECF = 90°

The sum of angle ∠FEC and angle ∠ECF is 90°. Then they are complementary angles.

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The given question is incomplete, for complete question:

To see the attachment.

Answer:
The fox is faster, by 7 miles per hour

Step-by-step explanation:

The fox can run 21 miles in half an hour -> It can run 42 miles in an hour

And the rabbit can run 35 miles per hour, so the fox run fastest by 42-35 = 7(m/h)

Answer:

the fox can run faster by 17 mph!

Step by step explanation:

This problem involves ratios

Our two ratios involve the distance the animals ran (the 35 & 21) and the time it took for them to run that distance (the 1 & 0.5)

So our two ratios are 1:35 (it took the rabbit 1 hour to run 35 miles) and 0.5:21 (it took the fox half an hour to run 21 miles)

But before we start subtracting, we have to take into account the fact that the time periods are not the same!

To start subtracting, we need to 0.5 and 1 to be the same or vice versa, the 1 to be a 0.5

In this case, let’s make the 0.5:21 bigger because it’s often easier to multiply than divide

When we multiply 0.5 by 2, it gets us to 1 so we have to do the same to the 21.

21x2=42

So our new ratio is 1:42

Now we can directly compare the two ratios.

42-35=17

So the fox ran faster by 17 miles

PLEASE AWARD BRAINLIEST I NEED TO LEVEL UP!

Our initial assumption is false, and we can conclude that for all positive real numbers r and s, rs ≠ rs.

A proof by contradiction for the statement "for all positive real numbers r and s, rs ≠ rs" can be constructed as follows:

Assume that for some positive real numbers r and s, rs = rs.

Take the natural logarithm of both sides of the equation, yielding ln(rs) = ln(rs).

Apply the property of logarithms that states ln(a * b) = ln(a) + ln(b), giving ln(r) + ln(s) = ln(r) + ln(s).

Subtract ln(r) from both sides of the equation, resulting in ln(s) = ln(s).

Since ln(s) = ln(s) holds true for any positive real number s, it implies that s = s.

However, this contradicts the assumption that rs = rs, as it should hold true for all positive real numbers r and s.

Therefore, our initial assumption is false, and we can conclude that for all positive real numbers r and s, rs ≠ rs.

Supporting Answer: To prove the statement "for all positive real numbers r and s, rs ≠ rs" by contradiction, we assume its negation, namely, that for some positive real numbers r and s, rs = rs. We proceed by taking the natural logarithm of both sides of the equation (step 2). This allows us to apply the property of logarithms (step 3) which states that the logarithm of a product is equal to the sum of the logarithms of the factors. By subtracting ln(r) from both sides of the equation (step 4), we obtain ln(s) = ln(s). This seems valid at first glance, but when examined closely, it becomes apparent that this equation implies s = s (step 5), which is a tautology. This contradiction disproves our initial assumption (step 6), leading us to conclude that for all positive real numbers r and s, rs ≠ rs.

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Step-by-step explanation:

16, 17 and 18

Explanation:

a

+

b

+

c

=

51

a

+

a

+

1

+

a

+

2

=

51

3

a

=

48

a

=

16

b

=

17

c

=

18

Explanation:

a

+

bAnswer:

+

c

=

51

a

+

a

+

1

+

a

+

2

=

51

3

a

=

48

a

=

16

b

=

17

c

=

18

Answer:

1/2

Step-by-step explanation:

p(event) = (number of desired outcomes)/(total number of outcomes)

How many different outcomes are there? You can choose 1, 2, 3, 4, 5, 6, 7, 8, 9, or 10, so the total number of possible outcomes is 10.

How many outcomes are desired. The desired outcomes are any outcomes with a number 6 or higher. Which numbers are 6 or higher? 6, 7, 8, 9, 10. There are 5 outcomes that are 6 or higher, so there are 5 desired outcomes.

p(event) = (number of desired outcomes)/(total number of outcomes)

p(event) = 5/10 = 1/2

Answer: 1/2

Answer:

y-axis and x-axis

Step-by-step explanation:

The 95% confidence interval for the slope of the regression line in this case is 0.74 ± 0.242.

To calculate the confidence interval for the slope of the regression line, we need to consider the standard error of the slope (sb) and the critical value associated with the desired confidence level.

Given that the standard error of the slope (sb) is 0.11, we can calculate the critical value using the t-distribution with a confidence level of 95% and degrees of freedom equal to the number of observations minus the number of variables in the regression (12 - 2 = 10).

Looking up the critical value in the t-distribution table or using a statistical calculator, the critical value for a 95% confidence level with 10 degrees of freedom is approximately 2.228.

The margin of error for the slope can be calculated by multiplying the critical value by the standard error: 2.228 * 0.11 = 0.245.

Therefore, the 95% confidence interval for the slope is 0.74 ± 0.245. This means we are 95% confident that the true slope of the regression line falls within the range of 0.495 to 0.985.

Among the options provided, the closest match is option (b): 0.74 ± 0.242.

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To find the partial derivative of f(x, y) = (x + y)sin(x - y) with respect to x, we differentiate the function with respect to x while treating y as a constant. To find the partial derivative with respect to y, we differentiate the function with respect to y while treating x as a constant.

To find the value of dz/dy at the point (2, -1, 0) for the equation x^2 + y^2 + z^2 = 0, which defines z as a function of the independent variables y and x, we differentiate the equation implicitly with respect to y while treating x as a constant.

5. To find ∂f/∂x for f(x, y) = (x + y)sin(x - y), we differentiate the function with respect to x while treating y as a constant. The result will be ∂f/∂x = sin(x - y) + (x + y)cos(x - y). To find ∂f/∂y, we differentiate the function with respect to y while treating x as a constant. The result will be ∂f/∂y = (x + y)cos(x - y) - (x + y)sin(x - y).

To find dz/dy at the point (2, -1, 0) for the equation x^2 + y^2 + z^2 = 0, which defines z as a function of the independent variables y and x, we differentiate the equation implicitly with respect to y while treating x as a constant. This involves taking the derivative of each term with respect to y. Since the equation is x^2 + y^2 + z^2 = 0, the derivative of x^2 and z^2 with respect to y will be 0. The derivative of y^2 with respect to y is 2y. Thus, we have the equation 2y + 2z(dz/dy) = 0. Substituting the values of x = 2 and y = -1 into this equation, we can solve for dz/dy at the given point.

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The range of customers that served on the middle 50 percent of days are from 2994 to 3514 customers, under the condition that mean of 3,250 customers and a standard deviation of 320.

Here,
The middle 50% of days means that we are observing for the range of values that comprise the middle 50%  the data.

In order o find  range, we have to find the z-scores that correspond to the 25th and 75th percentiles and then change these z-scores back to raw scores using the formula
z = (x - μ) / σ
here x = raw score,
μ = mean,
σ = standard deviation

The z-score concerning to the 25th percentile is -0.6745 and the z-score concerning  the 75th percentile is +0.6745.
Using these z-scores and the formula, we evaluate  the raw scores that concerning  the percentiles
z = (x - μ) / σ
-0.6745 = (x - 3250) / 320
x = 2994
z = (x - μ) / σ
+0.6745 = (x - 3250) / 320
x = 3514

The range of customers that served on the middle 50 percent of days are from 2994 to 3514 customers.

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Answer:

16+3x=22.75

22.75-16=6.75

6.75÷3=2.25=x