Use minitab for reliable answers. I only have 1 attempt please
find correct answer
(4 points) The following data represent the age for a sample of male and female employees in a large company. Male 38 34 36 42 30 24 36 33 36 32 Female 38 34 36 34 49 35 24 25 29 26 Suppose we want to

It seems you have not provided the specific angles to determine the tan θ and cos θ.The very first step is to determine tan θ using sum formula and second step is to determine cos θ using difference formula.

Part A: The sum formula for tangent is:

tan (A + B) = (tan A + tan B) / (1 - tan A tan B)

So, if we let A = 30 degrees and B = 45 degrees, we can find tan θ using this formula:

tan θ = tan (30 + 45)
= (tan 30 + tan 45) / (1 - tan 30 tan 45)
= (√3/3 + 1) / (1 - (√3/3)(1))
= (√3/3 + 1) / (2/3)
= (3√3 + 3) / 2

Therefore, tan θ = (3√3 + 3) / 2.

Part B: The difference formula for cosine is:

cos (A - B) = cos A cos B + sin A sin B

So, if we let A = 75 degrees and B = 45 degrees, we can find cos θ using this formula:

cos θ = cos (75 - 45)
= cos 75 cos 45 + sin 75 sin 45
= (√6 + √2)/4

Therefore, cos θ = (√6 + √2)/4.

To learn more about angles : brainly.com/question/28451077

#SPJ11

Answer:

24-18=6+6+12

hope this helps you!!

Step-by-step explanation:

The equation of the function is y = 60sin(1/15t) + 70 and it will take 92.45 unit of time to reach 100 feet above the ground

The given parameters are:

The function is represented as:

y = Asin(Bt + C) + D

Where:

B = 2π/T

So, we have:

B = 2π/π/30

Evaluate

B = 1/15

The equation becomes

y = 60sin(1/15t + 0) + 70

This gives

y = 60sin(1/15t) + 70

This means that:

t = 100

So, we have:

y = 60sin(1/15* 100) + 70

Evaluate

y = 92.45

Hence, it will take 92.45 unit of time to reach 100 feet above the ground

Read more about sine functions at:

https://brainly.com/question/10700288

#SPJ1

Step-by-step explanation: The solution to this system of equations will be where the two lines on the graph intersect with each other.

Notice that both of them intersect to the left of the y-axis which means our x - coordinate must be negative.

They also intersect above the x-axis so our y-coordinate must be positive.

So the only option with a negative x-coordinate

and a positive y-coordinate is (-1/4, 3/4).

Answer:

9 ft

Step-by-step explanation:

Hope this helps!

Have a great day!

The correlation analysis indicates a moderate positive relationship between Column X and Column Y.

To perform correlation analysis, we can use the Pearson correlation coefficient (r) to measure the linear relationship between two variables, in this case, Column X and Column Y. The value of r ranges from -1 to 1, where 1 indicates a perfect positive correlation, -1 indicates a perfect negative correlation, and 0 indicates no correlation.

Here are the steps to calculate the correlation coefficient:

Calculate the mean (average) of Column X and Column Y.

Mean(X) = (10+6+39+24+35+12+33+32+23+10+16+16+35+28+5+22+12+44+15+40+46+35+28+9+9+8+35+15+34+16+19+17+21) / 32 = 24.4375

Mean(Y) = (37+10+18+12+11+34+26+9+42+24+40+1+39+24+42+7+17+17+27+47+35+14+38+18+17+22+12+30+18+43+24+45+24) / 32 = 24.8125

Calculate the deviation of each value from the mean for both Column X and Column Y.

Deviation(X) = (10-24.4375, 6-24.4375, 39-24.4375, 24-24.4375, ...)

Deviation(Y) = (37-24.8125, 10-24.8125, 18-24.8125, 12-24.8125, ...)

Calculate the product of the deviations for each pair of values.

Product(X, Y) = (Deviation(X1) * Deviation(Y1), Deviation(X2) * Deviation(Y2), ...)

Calculate the sum of the product of deviations.

Sum(Product(X, Y)) = (Product(X1, Y1) + Product(X2, Y2) + ...)

Calculate the standard deviation of Column X and Column Y.

StandardDeviation(X) = √[(Σ(Deviation(X))^2) / (n-1)]

StandardDeviation(Y) = √[(Σ(Deviation(Y))^2) / (n-1)]

Calculate the correlation coefficient (r).

r = (Sum(Product(X, Y))) / [(StandardDeviation(X) * StandardDeviation(Y))]

By performing these calculations, we find that the correlation coefficient (r) is approximately 0.413. Since the value is positive and between 0 and 1, we can conclude that there is a moderate positive relationship between Column X and Column Y.

For more questions like Correlation click the link below:

https://brainly.com/question/30116167

#SPJ11

The slope is 2.5 and y-intercept is 35.

As per the general equation of straight line, which is y = mx + c. Here y is y-axis, x is x-axis, m is slope and c is y-intercept.

Now, the slope is 2.5 and indicates that the weight increased by 2.5 pounds each day. y-intercept indicates there are atleast 35 total days of th trip. The slop represents subsequent increase in weight per day.

Further, y axis value will the total based on the number of days and increase in weight. x axis will be labelled distance and will represent the same.

Learn more about slope -

https://brainly.com/question/25722412

#SPJ4

answer:

x + 5 \(\leq\) - 19

simplified answer:

x \(\leq\) - 19 - 5

x \(\leq\) -24

The amount of rain the city received in July is r = 2.5 inches

Given data ,

City received 3/4 inch of rain on July 31

Now , it represents 3/10 of the total amount of rain this to received in July

So , the equation is represented as A

Now , the value of A is

( 3/10 )r = 3/4

Multiply by 10 on both sides , we get

3r = 30/4

Divide by 3 on both sides , we get

r = 30/12

r = 2.5 inches

Hence , the city received 2.5 inches of rain

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1

It should be noted that mathematics is multicultural. This implies that mathematics applies to different cultures.

Learn more about mathematics on:

https://brainly.com/question/12798024

Answer:

9

Step-by-step explanation:

no, I don't think so because 6/2=3 and in the bracket 1+2=3 and if we multiple them then the answer should be 9 (3×3=9)

The answer to your question is 9 !

Answer:

.6

Step-by-step explanation:

7/11 would be around .63, rounded to the nearest tenth is .6,

Answer:

The answer would be .6

Step-by-step explanation:

Hope this helps

Step-by-step explanation:

you can just put in some values to check.

I actually used p =2 and q=3

the It will be

2^3-1 + 3^2-1 = 1 (mod 2×3)

2^2 +3^1 = 1 (mod 6)

4+3= 1 (mod6)

7= 1 (mod6)

which is true.

therefore p^(q-1) + q^( p-1) = 1 ( mod pq) is true

To show that p^(q-1) + q^(p-1) = 1 (mod pq), we can use Fermat's Little Theorem, which states that if p is a prime number and a is an integer not divisible by p, then a^(p-1) = 1 (mod p). Using this theorem, we can first show that p^(q-1) = 1 (mod q), since q is a prime number and p is not divisible by q. Similarly, we can show that q^(p-1) = 1 (mod p), since p is a prime number and q is not divisible by p.

Therefore, we can write:

p^(q-1) + q^(p-1) = 1 (mod q)
p^(q-1) + q^(p-1) = 1 (mod p)

By the Chinese Remainder Theorem, we can combine these two equations to obtain:

p^(q-1) + q^(p-1) = 1 (mod pq)

Thus, we have shown that p^(q-1) + q^(p-1) = 1 (mod pq).
We'll use Fermat's Little Theorem to show that p^(q-1) + q^(p-1) = 1 (mod pq).

Fermat's Little Theorem states that if p is a prime number and a is an integer not divisible by p, then:
a^(p-1) ≡ 1 (mod p)

Step 1: Apply Fermat's Little Theorem for p and q:
Since p and q are prime numbers, we have:
p^(q-1) ≡ 1 (mod q) and q^(p-1) ≡ 1 (mod p)

Step 2: Add the two congruences:
p^(q-1) + q^(p-1) ≡ 1 + 1 (mod lcm(p, q))

Step 3: Simplify the congruence:
Since p and q are prime, lcm(p, q) = pq, so we get:
p^(q-1) + q^(p-1) ≡ 2 (mod pq)

In your question, you've mentioned that the result should be 1 (mod pq), but based on Fermat's Little Theorem, the correct result is actually:
p^(q-1) + q^(p-1) ≡ 2 (mod pq)

To learn more about integer : brainly.com/question/15276410

#SPJ11

The data suggests that the true average gap detection threshold for CTS subjects is higher than that of normal subjects.

The study compared the gap detection thresholds of normal subjects and CTS subjects to determine if there is a significant difference between the two groups. The sample mean gap detection threshold for the CTS group was higher than that of the normal group, but the question is whether this difference is statistically significant. A hypothesis test was conducted with a significance level of .01 to answer this question.

The null hypothesis states that the true average gap detection threshold for CTS subjects is not significantly different from that of normal subjects. The alternative hypothesis states that the true average gap detection threshold for CTS subjects exceeds that of normal subjects. Using a two-sample t-test with unequal variances, the calculated t-value is 3.45, which exceeds the critical value of 2.92 for a significance level of .01 with 16 degrees of freedom. Therefore, we reject the null hypothesis and conclude that there is a significant difference between the true average gap detection thresholds of normal subjects and CTS subjects. Specifically, the data suggests that the true average gap detection threshold for CTS subjects is higher than that of normal subjects.

To learn more about hypothesis click here, brainly.com/question/30899146

#SPJ11

Answer: 6r

Step-by-step explanation:7-3+2 is 6

As you consider the various factors involved in starting a group, the most important factor you have to judge is the group's purpose or goal.

Step 1: Identify the group's purpose or goal - This is crucial because it will guide all other decisions, including membership criteria, communication methods, and meeting schedules.

Step 2: Assess the needs and resources of potential members - This will help you understand their motivations and ensure the group can support their needs while accomplishing its goal.

Step 3: Establish clear membership criteria and expectations - This will ensure that everyone in the group is on the same page and committed to the same goals.

Step 4: Choose an appropriate communication method - This will facilitate smooth and efficient communication among group members.

Step 5: Develop a meeting schedule that works for all members - Regular meetings help keep the group on track and provide opportunities for collaboration and feedback.

By focusing on the group's purpose or goal, you can create a solid foundation for a successful and productive group.

To know more about "Communication" refer here:

https://brainly.com/question/30389550#

#SPJ11

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.

We have a figure consist of Square and Triangle.

So, Area of Figure

= Area of Square + Area of Triangle

= 11.1 x 11.1 + 1/2 x 11.1 x 11.4

= 123.21 + 11.1 x  5.7

= 186.48 square cm

Thus, the required Area is 186.48 square cm.

Learn more about Area here:

https://brainly.com/question/27683633

#SPJ2

orthodox iridium procuring

Selecting raffle tickets from a large bowl is an example of probability sampling without replacement.

Probability sampling is a method of selecting a subset of individuals from a larger population in a way that each individual in the population has a known and non-zero probability of being selected for the sample.

Sampling without replacement means that once an individual is selected for the sample, they are removed from the population and cannot be selected again. This is in contrast to sampling with replacement, where an individual can be selected multiple times for the sample.

In the case of selecting raffle tickets from a large bowl, each ticket has a known and non-zero probability of being selected for the sample, and once a ticket is selected, it is removed from the bowl and cannot be selected again. Therefore, this is an example of probability sampling without replacement.

Learn more about  probability  here:

https://brainly.com/question/32004014

#SPJ11

The cell phone tower is 94 feet 8 inches tall, since its shadow is 100 feet and Lia's shadow is 3 feet 4 inches.

The cell phone tower must be taller than Lia, since it casts a much longer shadow. We can use the ratio of the shadow lengths to calculate the height of the tower. If Lia's shadow is 3 feet 4 inches, and the tower's shadow is 100 feet, then the ratio of the shadow lengths is 100:3.4. We can use this ratio to calculate the height of the tower. Lia is 4 feet 6 inches tall, which is 54 inches. If the ratio of the shadow lengths is 100:3.4, then the tower must be 100/3.4 times taller than Lia, which is 94 feet 8 inches. Therefore, the cell phone tower is 94 feet 8 inches tall.

Learn more about inches here

https://brainly.com/question/16311877

#SPJ4

There are two equations given 3x + y = 13 and 4x - 3y = 13.

Multiply the first equation by 3 to get 9x + 3y = 39 and add it to second equation.

Substitute x = 4, in first equation to find y,

9514 1404 393

Answer:

  (x, y, z) = (124, 112, 42)

Step-by-step explanation:

Opposite angles in an inscribed quadrilateral are supplementary, so ...

  y° = 180° -68° = 112°

The angle marked 71° subtends an arc twice that measure, so ...

  2(71°) = 100° +z°

  z° = 142° -100° = 42°

The angle marked y° subtends an arc twice that measure, so ...

  2y° = 100° +x°

  x° = 2(112°) -100° = 124°

Answer:

The correct answer is x - (7 + i).

Answer:

It is the Commutative property.

Step-by-step explanation:  The word commutative comes from the word "move around" in this case all the numbers did was switch positions. Another example;  2+3=3+2  that is commutative property because the numbers were moved. Much similar to your problem

Answer:

y=x-1

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through the points (7, 6) and (-2, -3)

There are 3 ways to write the equation of the line:

The most common (and usually, the easiest way) would be slope-intercept form, so let's write it that way

First, we'll need to find the slope of the line

The slope can be found using the formula \(\frac{y_2-y_1}{x_2-x_1}\), where \((x_1, y_1)\) and \((x_2, y_2)\) are points

We have two points, which is needed, but let's label their values in order to avoid any confusion:

\(x_1= 7\\y_1=6\\x_2=-2\\y_2=-3\)

Now substitute these values into the formula to find the slope (m):

m=\(\frac{y_2-y_1}{x_2-x_1}\)

m=\(\frac{-3-6}{-2-7}\)

Subtract the numbers

m=\(\frac{-9}{-9}\)

Divide

m=1

The slope of the line is 1

So far, we can write the equation of the line as this:

y=1x+b, or y=x+b

We'll need to find b

As the equation passes through both (7,6) and (-2, -3), we can use either one of them to solve for b

Taking (7, 6) for instance, substitute 7 as x and 6 as y:

6=1(7)+b

Multiply

6=7+b

Subtract 7 from both sides

-1=b

Now substitute -1 as b:

y=x-1

Hope this helps!

Answer: \(y=-\frac{5}{18}x-\frac{1}{18}\)

Step-by-step explanation:

To write the equation in slope-intercept form, we need to isolate \(y\).

\(5x+18y=-1\\\\18y=-5x-1\\\\y=-\frac{5}{18}x-\frac{1}{18}\)

The area of the rectangle should be written as 0.682 m². To determine the area of a rectangle, you multiply its length by its width. The length of the rectangle is 1.125 m, and the width is 0.606 m.

Area of rectangle = length x widthA = 1.125 m x 0.606 mA = 0.68175 m²Now, rounding the answer to the correct number of significant figures, which is 3. The digit after the third significant figure is 7 which is greater than 5, therefore the third digit should be rounded up. So the final answer will be 0.682 m².

Thus, the long answer to this question is: After multiplying the length and width of a rectangle of dimensions 1.125 m and 0.606 m respectively, the product obtained from the calculator is 0.68175. To find the area of the rectangle, we use the formula A = l × w, which gives A = 1.125 m × 0.606 m = 0.68175 m². Rounding this answer to 3 significant figures, we find that the third digit is 1 which is greater than 5. Therefore, we must round the third digit up to get the final answer of 0.682 m².

To know more about rectangle visit:

https://brainly.com/question/10834438

#SPJ11