pick the number that will make the following expression true.​

Answer:

there are 2,730 different ways to choose a president, vice president, and treasurer from the student club consisting of 10 computer science majors and 5 mathematics majors.

Step-by-step explanation:

To choose three different members from the club to be president, vice president, and treasurer, you can follow these steps:

Step 1: Calculate the number of ways to choose the president:

Since there are 15 club members in total, the number of ways to choose the president is 15.

Step 2: Calculate the number of ways to choose the vice president:

After selecting the president, there are 14 remaining members. The number of ways to choose the vice president from these 14 members is 14.

Step 3: Calculate the number of ways to choose the treasurer:

After selecting the president and vice president, there are 13 remaining members. The number of ways to choose the treasurer from these 13 members is 13.

Step 4: Calculate the total number of ways to choose the president, vice president, and treasurer:

Since each step is independent, you can multiply the number of choices at each step: 15 * 14 * 13 = 2,730.

Therefore, there are 2,730 different ways to choose a president, vice president, and treasurer from the student club consisting of 10 computer science majors and 5 mathematics majors.

The final values of the angles are:

C0 = A0 = 2

C1 = B1 = -7

theta1 = 0 degrees

C2 = B2 = -7

theta2 = 0 degrees

Here, we have,

To determine the values of C0, C1, theta1 (in degrees), C2, and theta2 (in degrees), we need to match the given expressions for x(t) with the given values for A0, A1, B1, A2, B2, and w.

Comparing the expressions:

x(t) = C0 + C1sin(wt+theta1) + C2sin(2wt+theta2)

x(t) = A0 + A1cos(wt) + B1sin(wt) + A2cos(2wt) + B2sin(2w*t)

We can match the constant terms:

C0 = A0 = 2

For the terms involving sin(wt):

C1sin(wt+theta1) = B1sin(w*t)

We can equate the coefficients:

C1 = B1 = -7

For the terms involving sin(2wt):

C2sin(2wt+theta2) = B2sin(2wt)

Again, equating the coefficients:

C2 = B2 = -7

Now let's determine the angles theta1 and theta2 in degrees.

For the term C1sin(wt+theta1), we know that C1 = -7. Comparing this with the given expression, we have:

C1sin(wt+theta1) = -7sin(wt)

Since the coefficients match, we can equate the arguments inside the sin functions:

wt + theta1 = wt

This implies that theta1 = 0.

Similarly, for the term C2sin(2wt+theta2), we have C2 = -7. Comparing this with the given expression, we have:

C2sin(2wt+theta2) = -7sin(2w*t)

Again, equating the arguments inside the sin functions:

2wt + theta2 = 2wt

This implies that theta2 = 0.

Therefore, the final values are:

C0 = A0 = 2

C1 = B1 = -7

theta1 = 0 degrees

C2 = B2 = -7

theta2 = 0 degrees

To learn more on angle click:

brainly.com/question/28451077

#SPJ4

The probability that the sample proportion of households spending more than $125 a week on groceries is less than 0.3 is approximately 0.057, or 5.7%.

To solve this problem, we can use the properties of the normal distribution and the Central Limit Theorem. Since the sample size is large (209 households) and the sample is randomly selected, we can assume that the sampling distribution of the sample proportion will be approximately normal.

First, we calculate the standard deviation of the sampling distribution using the formula: standard deviation = sqrt((p * (1 - p)) / n), where p is the population proportion and n is the sample size. In this case, p = 0.29 and n = 209. Plugging in these values, we find that the standard deviation is approximately 0.031.

Next, we need to find the z-score corresponding to a sample proportion of 0.3. The z-score formula is given by: z = (x - μ) / σ, where x is the sample proportion, μ is the population proportion, and σ is the standard deviation of the sampling distribution. Plugging in the values, we have z = (0.3 - 0.29) / 0.031, which results in a z-score of approximately 0.323.

Finally, we can find the probability using the z-table or a statistical calculator. Looking up the z-score of 0.323 in the table, we find that the probability is approximately 0.573. However, since we are interested in the probability that the sample proportion is less than 0.3, we need to subtract this probability from 0.5 (as the normal distribution is symmetric). Therefore, the probability that the sample proportion is less than 0.3 is approximately 0.5 - 0.573 = 0.057, or 5.7%.

Learn more about probability here:

https://brainly.com/question/6655434

#SPJ11

Answer:

108

Step-by-step explanation:

Answer:

its D

Step-by-step explanation:

To compare the posttreatment t-test scores of two groups of subjects who received different treatments, the appropriate analytic statistic would be a two-sample t-test. An independent samples t-test would be appropriate for analyzing the data.

This test is used to determine whether there is a statistically significant difference between the means of two independent groups. The two-sample t-test assumes that the samples are independent, normally distributed, and have equal variances.

If the probability is lower than a predetermined significance level (usually 0.05), then we reject the null hypothesis that the two group means are equal and conclude that there is a statistically significant difference between the treatments.

To learn more about “statistics” refer to the https://brainly.com/question/15525560

#SPJ11

The acceleration components of point D are, ax = 3.6 m/s², ay = 6.4 m/s², az = -1.14 m/s²

At the instant shown, the shaft and plate rotates with an angular velocity of 19 rad/s and angular acceleration of 9 rad/s2. The given diagram is shown below. Angular velocity (w) = 19 rad/sAngular acceleration (α) = 9 rad/s²Plate dimension AB = 0.6 m, BC = 0.2 m, CD = 0.4 m, DA = 0.3 m, AE = 0.3 m and EF = 0.4 m.

Determine the wocl and Dsea of Enter the ", y, and Z components of the velocity separated by commas vec m/sThe velocity components for point D can be calculated using the following formula.Vd = R x wWhere R is the position vector of D relative to the origin.

According to the given diagram, the position vector of point D relative to the origin is, R = 0.2i + 0.4j + 0.3kThe velocity of point D can be calculated as follows.Vd = R x w = 0.2i + 0.4j + 0.3k x 19The cross product of R and w can be calculated as follows.i j k 0.2 0.4 0.3 0 19 0 = [(0.4 × 0) - (0.3 × 19)] i - [(0.2 × 0) - (0.3 × 0)] j + [(0.2 × 19) - (0.4 × 0)] kVd = -5.7i + 6.8kThus, the velocity components of point D are, Vx = -5.7 m/s, Vy = 0 m/s, Vz = 6.8 m/s

Determine the acceleration of point D located on the corner of the plate at this instant. Enter the, y, and Z components of the velocity separated by commas vec m/sThe acceleration components of point D can be calculated using the following formula.aD = R x α + w x (w x R)Where R is the position vector of D relative to the origin.

According to the given diagram, the position vector of point D relative to the origin is, R = 0.2i + 0.4j + 0.3kThe acceleration of point D can be calculated as follows.aD = R x α + w x (w x R) = (0.2i + 0.4j + 0.3k) x 9 + 19 x (19 x (0.2i + 0.4j + 0.3k)) = (0.4k - 0.3j) x 9 + 19 x (0.4 x (0.4j - 0.3k))aD = 3.6i + 6.4j - 1.14k.

Learn more about Acceleration

brainly.com/question/12550364

#SPJ11

Answer:

SQ/VT = QR/TU = SR/VU

hope it helps

Answer: 19

Step-by-step explanation:

Basically, every triangle has 3 sides that add up to 180 so you add 82+41 and subtract it from 180, then you get 57 as the answer and divide it by 3 since its 3 times the x

The resting cell membrane maintains a slight negative charge inside relative to the outside, creating an electrical disequilibrium. The correct answer is A.

The resting cell membrane maintains a slight negative charge inside relative to the outside, creating an electrical disequilibrium. This phenomenon is crucial for various cellular functions and is achieved through the selective movement of ions across the cell membrane. By actively pumping out positively charged ions like sodium (\(Na^+\)) and taking in negatively charged ions like potassium (\(K^+\)), the cell establishes an electrical potential difference.

This electrical disequilibrium plays a fundamental role in cellular activities such as nerve transmission and muscle contraction. It enables the rapid transmission of electrical signals along nerve cells and facilitates the coordinated contraction of muscle fibers.

The maintenance of this electrical disequilibrium is an example of the cell's remarkable ability to regulate its internal environment, a process known as homeostasis. By actively controlling ion movements, the cell ensures a balance between the intracellular and extracellular environments, allowing for optimal cellular functioning.

Therefore, the slight negative charge inside a resting cell relative to the outside exemplifies electrical disequilibrium and serves as a vital component of cellular homeostasis and proper functioning.

To learn more about negative charge from the given link

https://brainly.com/question/29583852

#SPJ4

Note: The question would be as

The inside of a resting cell is slightly negative relative to the outside. This is an example of

a. electrical disequilibrium

b. O failed homeostasis

c. osmotic equilibrium

d. chemical disequilibrium

Part a: The proportion of scores are over 100 is 25.46%.

Part b: Best score below 57th percentile is 125.4.

For the given question;

Part a: For sample mean x = 100.

z = (x - μ)/σ

z = (100 - 120)/30

z = -0.66

Use negative z table

P(x = 100) = 0.2546

P(x = 100) = 25.46%

Thus, the proportion of scores are over 100 is 25.46%.

Part b: Best score below 57th percentile.

p = 0.57

Se z score from z score table for  p= 0.57

z = 0.18

0.18 = (x - 120)/30

x = 125.4

Thus, the best score below 57% is 125.4.

To know more about the normal distribution, here

https://brainly.com/question/23418254

#SPJ4

The function f(x) is shown in the graph is (a) an exponential function

From the graph, we can see that:

Only exponential functions have the above features

Hence, the function f(x) is shown in the graph is (a) an exponential function

Read more about exponential function at:

https://brainly.com/question/2456547

#SPJ1

STEP - BY - STEP EXPLANATION

What to find?

P(x=6)

Given:

n=7 p=0.3

p+q = 1

⇒q = 1- p = 1-0.3 =0.7

Step 1

Recall the formula.

Step 2

Substitute the values into the formula.

Step 3

Simplify the above.

ANSWER

0.0035721

The hypotheses that would determine if the proportion of households that support starting school earlier has changed this year is C. H 0: p = 0.65, H alpha: p greater-than 0.65.

A statistical hypothesis known as a null hypothesis asserts that no statistical significance can be found in a given set of observations.

It is tested to see if there has been no change at the null hypothesis, which means that the proportion is still 0.65 = 65%.

It is tested whether there has been a change at the alternative hypotheses, that is, whether the proportion is no longer 0.65 = 65%.

Therefore, the correct option is C.

Learn more about hypothesis on;

https://brainly.com/question/22960110

#SPJ1

Complete options

Group of answer choices

H 0: p not-equals 0.70, H alpha: p = 0.70

H 0: p = 0.70, H alpha: p not-equals 0.70

H 0: p = 0.65, H alpha: p greater-than 0.65

H 0: p = 0.65, H alpha: p not-equals 0.65

A 95% confidence interval is wider than a 90% confidence interval and so provides a better estimate of the population mean.

A confidence interval represents the range of values within which the population mean is estimated to lie with a certain degree of confidence. The wider the interval, the more certain we can be that the population mean lies within it. In other words, a 95% confidence interval provides a better estimate of the population mean than a 90% interval because it is wider and therefore more likely to contain the true population mean.

This increased accuracy is particularly important for the city in their budget planning as it allows them to make more informed decisions based on a more reliable estimate of their expected daily income from parking fees.

Learn more about Confidence Intervals:

https://brainly.com/question/15712887

#SPJ4

Answer:

The expression x⁴ + 8x³ + 34x² + 72x + 81 cannot be factored further using simple integer coefficients. It does not have any rational roots or easy factorizations. Therefore, it remains as an irreducible polynomial.

Answer:

See below for answers

Step-by-step explanation:

y = -x+1 if x<3

y= x-5 if x>=3

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input.

The collection of all potential inputs for a function is its domain. For instance, the domain of f(x)=x2 and g(x)=1/x are all real integers with the exception of x=0.

Think about the function y = f. (x). The range of the function is the range of all the y values, from least to maximum. Substitute all possible values of x into the provided expression of y to see whether it is positive, negative, or equal to other values.

To know more about function visit:-

brainly.com/question/12431044

#SPJ1

Answer:

155-50=105

Step-by-step explanation:

hopefully  its right because you have to take the maximum and subtracted from the minimum

Answer:

B.

–80, –110

Step-by-step explanation:

-80 and -110

It is an arithmetic sequence. The difference = -30. It is the difference between each number in the sequence: 10-40=-30

-50-30=-80

-80-30 =-110

-80

First Identify the sequence being made here.

10-40 = -30

-20-10 = -30

-50-(-20) = -30

Therefor this pattern is decreasing by a rate of 30 so to continue this, just subtract 30 from -50.

-50-30 = -80

The next term is -80.

Hope I helped!

Answer:

x = 1/48

Step-by-step explanation:

3x + 2x + 1/6 - 1/4 = x

5x + 1/6 - 1/4 = x

5x + 2/12 - 3/12 = x (find a multiple by a common denominator)

5x - 1/12 = x

5x - x - 1/12 = 0

4x - 1/12 = 0

x = 1/12 / 4

x = 1 / 12×4

x = 1/48

Answer:

805/141

Hope this helps

Answer:

16.5+____+1.04

Step-by-step explanation:

1/1=(1*3)=(3.3*5)=16.5+____+1.04

Answer:

A

Step-by-step explanation:

First off we can see that there are 46 pencils - and 7 students - so we can divide the two

46/7 is not a whole number, so we need to find a number that can be multiplied by 7, and is right below 46.

If you multiply 7 by 6, you get 42, which is the highest you can get with multiply by 7, which is also below 46.

Now that we know that each student gets 6 pencils, we need to find out how many are left.

We can do 46 (total pencils) minus 42 (pencils given) to get a leftover of 4 pencils, so the answer is A.

Answer: 0.129 kg

Step-by-step explanation:

A gram to a kilogram can be found by dividing the value of grams by 1000, or multiplying the value by 0.001

Answer: 4.5 pounds.

Step-by-step explanation:

Given : Weight of original pipe =45 pounds

Weight of first piece = 18 pounds

Then, Weight of  other piece = 45- 18 =  27 pounds

Length of first piece = 3 feet

Let x be the length of other piece.

As length is directly proportional to weight.

Then, \(\dfrac{x}{27}=\dfrac{3}{18}\)

\(\Rightarrow\ \dfrac{x}{27}=\dfrac{1}{6}\\\\\Rightarrow\ x=\dfrac{1}{6}\times27 =4.5\)

Hence, the he length of the other piece = 4.5 pounds.

Answer:

The next sequence is 243

The pattern is x 3

3 x 3 = 9

9 x 3 = 27

27 x 3 = 81

81 x 3 = 243

Step-by-step explanation:

You're welcome.

Step-by-step explanation:

\(1\)

#Hopeitshelp

Answer:

\(\boxed{D = 15/8}\)

Step-by-step explanation:

=> \(x^2-\frac{1}{2} x +\frac{1}{2} = 0\)

Comparing it with the standard form of quadratic equation \(ax^2+bx+c = 0,\) we get

a = 1, b = -1/2 and c = 1/2

Discriminant = \(b^2-4ac\)

\(D = (-1/2)^3+4(1)(1/2)\\D = -1/8 + 2\\D = \frac{-1+16}{8} \\D = \frac{15}{8}\)

Answer:

Yes, as it can be expressed as a fraction

Step-by-step explanation:

-7/1

Answer:

-7 is a rational number

Step-by-step explanation:

Rational Number - in math, it is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.

-7 is an example & it also falls under the integer section under the area of rational numbers.

Another few examples of rational numbers: 3/4, 1/2, 1,2,3,4, 1.5, -4, -8, etc.