Do you guys know the answer to this

Answer:

B  11m-3v

Step-by-step explanation:

You have to add like terms

18m-7m is 11m

-9v + 6v is -3v

When put into an expression, you get 11m-3v, which is choice B

Hope this helps! Good luck :)

Answer:

x = 37 mm

Step-by-step explanation:

using the Pythagorean theorem:

m² = 13² - 5² = 169 - 25 = 144

m = √144 = 12 mm

x² = 12² + 35² = 144 + 1225 = 1369

x = √1369 = 37 mm

Answer:

x=37.3

Step-by-step explanation:

Since we're looking for "x" we need to use "the Pythagorean theorem".

13mm will be our "A" and 35mm will be our "B" will "x" being the hypotenuse.

Since x is the hypotenuse, it needs to be a number greater than 13 and 35.

c=√(a² + b²)

Making it c=√(13² + 35²)

Making C=37.336 or 37.3

Therefore making, x=37.3

Answer:

the area of triangle formula is A = B*H  / 2

so it means 16 square = (x+4) x /2

so x²+4x -32=0, D' = 2²- (-32)= 36, sqrt of D' = 6

so x = -2 -6 = -8 or x= -2 +6 = 4

x must be positive so x = 4

Step-by-step explanation:

Answer:

1: 0.027

2: 0.01375

Step-by-step explanation:

Answer:

1/72 and 1/81

Step-by-step explanation:

Using the order of operations (PEMDAS):

Question 1:

You solve the exponent first: 1/9 * 1/8

Multiply: 1/72 (\(0.0138\) repeating)

Question 2:

You solve the exponent first: 1/9 * 1/9

Multiply: 1/81 (0.0123456...)

The eigenvalues of the matrix are 21, 22, and 23. The matrix is diagonalizable. So, the answer is Yes.

T: P2 P₂ is defined by T(ao + a₁x + a₂x²) = (−3a₁ + 5a₂) + (-4a0 + 4a₁ - 10a₂)x+ 5a₂x².

We need to find the eigenvalues of the matrix, the corresponding coordinate eigenvectors of T relative to the standard basis {1, x, x²}, and whether the matrix is diagonalizable or not.

Eigenvalues: We know that the eigenvalues of the matrix are given by the roots of the characteristic polynomial, which is |A - λI|, where A is the matrix and I is the identity matrix of the same order. λ is the eigenvalue.

We calculate the characteristic polynomial of T using the definition of T:

|T - λI| = 0=> |((-4 - λ) 4 0) (5 3 - 5) (0 5 - λ)| = 0=> (λ - 23) (λ - 22) (λ - 21) = 0

The eigenvalues of the matrix are 21, 22, and 23.

Corresponding coordinate eigenvectors:

We need to solve the system of equations (T - λI) (v) = 0, where v is the eigenvector of the matrix.

We calculate the eigenvectors for each eigenvalue:

For λ = 21, we have(T - λI) (v) = 0=> ((-25 4 0) (5 -18 5) (0 5 -21)) (v) = 0

We get v = (4, 5, 2).

For λ = 22, we have(T - λI) (v) = 0=> ((-26 4 0) (5 -19 5) (0 5 -22)) (v) = 0

We get v = (4, 5, 2).

For λ = 23, we have(T - λI) (v) = 0=> ((-27 4 0) (5 -20 5) (0 5 -23)) (v) = 0

We get v = (4, 5, 2).

The corresponding coordinate eigenvectors are X1 = (4, 5, 2), X2 = (4, 5, 2), and X3 = (4, 5, 2).

Diagonalizable: We know that if the matrix has n distinct eigenvalues, then it is diagonalizable. In this case, the matrix has three distinct eigenvalues, which means the matrix is diagonalizable.

The eigenvalues of the matrix are λ = 21, 22, 23. There is a sufficient number to guarantee that the matrix is diagonalizable. Therefore, the answer is "Yes."

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Answer:

a. m = -6

b. y = 2

Step-by-step explanation:

a. m - 8 = -14

m = -14 + 8

m = -6

b. 1/2 - y = 3/2

y = 1/2 + 3/2

y = 4/2

y = 2

Hope this helped!

Answer:

a. -6

Step-by-step explanation:

m - 8 = -14

or, m = -14 + 8

Therefore, m = -6

Answer:

The maximum number of people that can be in the Trumpington marching band is 940 people

Step-by-step explanation:

The number of members = 20·n

The number per row = 26

The number left = 4

Therefore, we have;

If there are x rows of 26, we have;

26 × x = 20·n - 4

We have;

26 × x < 996

26 × x < 20·n

20·n < 996 therefore, 20·n ≤ 980

We check that 980/26 = 37  and some fractions

26 × 37 = 962 which will leave a remainder of 2

Therefore, we note that for 26 to have a remainder of 4, the last digit of the factor x must be 6 so has to get the last digit of the product 26 × x to be 6 while the digit of the product 20×n  is 0 which will live 4 members out to get to the next 10 as follows;

26 × 36 = 936 while 20 × 47 = 940

We get 940 - 936 = 4 members

Therefore, the maximum number of people that can be in the Trumpington marching band = 940.

cos(90° - x) = x/4.5.

In a right triangle, the sum of the measures of the two acute angles is always 90 degrees. Therefore, if one angle measures x degrees, then the other acute angle measures 90 - x degrees.

We are given that sin(x°) = x/4,5. The sine function represents the ratio of the length of the side opposite the angle to the length of the hypotenuse in a right triangle. In this case, the side opposite the angle x° has a length of x, and the hypotenuse has a length of 4.5.

To find cos(90° - x), we need to determine the cosine of the other acute angle, which is 90 - x degrees.

Using the trigonometric identity sin^2(x) + cos^2(x) = 1, we can find the cosine of 90° - x as follows:

sin^2(x) + cos^2(x) = 1

(cos^2(x) = 1 - sin^2(x))

cos^2(90° - x) = 1 - sin^2(90° - x)

cos(90° - x) = √(1 - sin^2(90° - x))

Since sin(90° - x) = cos(x), we can substitute cos(x) for sin(90° - x):

cos(90° - x) = √(1 - cos^2(x))

Now, we need to find the value of cos(x). Given that sin(x°) = x/4.5, we can solve for cos(x) as follows:

sin^2(x) + cos^2(x) = 1

(x/4.5)^2 + cos^2(x) = 1

cos^2(x) = 1 - (x/4.5)^2

cos(x) = √(1 - (x/4.5)^2)

Substituting this expression back into cos(90° - x), we have:

cos(90° - x) = √(1 - (√(1 - (x/4.5)^2))^2)

cos(90° - x) = √(1 - (1 - (x/4.5)^2))

cos(90° - x) = √(x/4.5)^2

cos(90° - x) = x/4.5

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Answer: 1725 ft^2

Step-by-step explanation:

Rectangle part is 30*50 or l*w = 1500

Triangle is 15*30/2=225

Add the two to get area

1500+225=1725

We plot the means on a number line to see which means are different. Plotting the sample means on a number line serves to illustrate this when the null hypothesis that all population means are equal is rejected.

This criteria, known as (alpha) in null hypothesis testing, is typically set to.05. The null hypothesis is rejected if there is less than a 5% likelihood that a result as dramatic as the sample result would occur if the null hypothesis were true. The outcome is referred to as statistically significant when this occurs.

Plotting scientific data is used to highlight correlations between variables or to visualize variance, but not all data sets need one. If there are only one or two points, it is simple to look at the numbers directly, and adding a graph adds little to nothing.

hence we plot the means on a number line to see which means are different. Plotting the sample means on a number line serves to illustrate this when the null hypothesis that all population means are equal is rejected.

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The total amount of interest paid along with annual rate is $163.80 at 16.08%.

The annual percentage rate refers to the yearly rated interest which is taken from when the individual takes a loan. It is also considered a measure of the cost of credit or borrowing expense which involves a interest and fees concerning the transaction.

And an annual percentage yield is helpful in the effective annual rate which includes the points of compounding given in that year.

For the given loan of $1000 with a 15% APR compounded monthly,

The evaluated monthly interest rate would be

15%/12 = 1.25%.

The total evaluated amount of interest paid on the course of a year will be $163.80.

The current effective annual rate will be 16.08%.

The total amount of interest paid along with annual rate is $163.80 at 16.08%.

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The function f(x) = {x + 3,  x < 0,    3      x ≥ 0} represents the graph.

What is graph?

In mathematics, the set of ordered pairings where f(x)=y exists is the graph of a function f. These pairs are Cartesian coordinates of points in two-dimensional space and so form a subset of this plane in the typical situation when x and f(x) are real integers.

As show in the graph we can see that the function has a graph of x + 3 on left side of the y - axis for x < 0.

And the function has the constant graph y = 3 for x ≥ 0.

Therefore, the given graph is the graph of the function,

f(x) = {x + 3,  x < 0,    3      x ≥ 0}.

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Using the P-value method of testing hypotheses with a significance level of 0.05, the sample provides strong evidence to support the claim that the mean score of job applicants from the university is greater than 160.

To test the claim that the mean score of job applicants from the university is greater than 160, we will perform a one-sample t-test using the P-value method. The null hypothesis (H0) assumes that the mean score is equal to 160, while the alternative hypothesis (Ha) assumes that the mean score is greater than 160.

First, we calculate the test statistic, which is the t-value. The formula for the t-value is:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

Plugging in the given values, we have:

t = (183 - 160) / (12 /   √(25))

  = 23 / (12 / 5)

  = 23 * (5 / 12)

  ≈ 9.58

Next, we find the P-value associated with the test statistic. The P-value represents the probability of obtaining a test statistic as extreme as the observed value, assuming the null hypothesis is true. Since the alternative hypothesis is one-sided (greater than 160), we calculate the P-value by finding the probability of the t-distribution with 24 degrees of freedom being greater than the calculated t-value.

Consulting statistical tables or using software, we find that the P-value is very small (less than 0.0001).

Since the P-value (less than 0.0001) is less than the significance level (0.05), we reject the null hypothesis. This provides strong evidence to support the claim that the mean score of job applicants from the university is greater than 160.

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The temperature “On Tuesday at lunchtime, it was 29ºC

i.e., 29 - 16.

Given,

Write a story about temperatures that this expression could represent:

27+(-11)

Now, According to the question:

1. The temperature is 27 degree C in the morning and reduced 11 degree C  in the evening , the difference in temperature is 27 + (-11)

2.   “On Tuesday at lunchtime, it was 29ºC. By sunset, the temperature had dropped to 16ºC.”

Again, Similarly

= 29 - 16

About Number line,

Draw a number line and allocate a point 16 degree C on the left side

and, 29 allocate a point on the right side.

Hence, The temperature “On Tuesday at lunchtime, it was 29ºC

i.e., 29 - 16.

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Answer:

\(63 \ cm^2\)

Step-by-step explanation:

The area of a triangle is found using the following formula:

\(A = \frac{base * height}{2}\)

The base of our triangle is 21 cm.

The height of our triangle is 6 cm.

\(A= \frac{6*21}{2} =3 * 21 = 63\)

Our distance unit is cm, so our area will be in cm squared.

Answer: \(63 \ cm^2\)

Answer:

63

Step-by-step explanation:

21 times 6, then divide by 2.

Answer:

y = 6x - 2

Step-by-step explanation:

slope-intercept form: y = mx + b

Note that:

m = slope = 6

b = y-intercept = -2

x = (x , y)

y = (x , y)

Plug in the corresponding numbers to the corresponding variables:

y = 6x + (-2)

y  = 6x - 2

y = 6x - 2 is your answer.

~

Answer:

y = 6x-2

Step-by-step explanation:

The slope intercept equation  form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 6x-2

Answer:

. jsjjsjsjsns jsjikans bjsbbsj. abianan sjsboa kahs hai sbbsjan

bsjsns kskka nanhh aja. sjjab ajj. suhb sjb bsbhshs habaj janab habba

Answer:

1) Step 1- Question. The "thing" that you want to know. ...

Step 2-Research. Conduct research. ...

Step 3-Hypothesis. Educated guess or prediction of the outcome experiment.

Step 4-Experiment. Test the hypothesis.

Step 5-Observations.

Step 6-Results/Conclusion. Determine if your hypothesis was correct or not.

Step 7- Communicate.

2) Being able to communicate the relevance and impact of their ideas and discoveries can enhance scientists' ability to secure funding or find a job. It allows them to write better and more comprehensible research papers.

3) 1) People should be treated as autonomous.

   2) People with diminished autonomy should be protected.

    3) Do no harm.

     4) Maximize benefits for participants and minimize risks for participants.

Step-by-step explanation:

The sample is not approximately normal because (50) (0.02) is not equal to or greater than 10.

The conditions for performing a significance test using a z-statistic require a sample size large enough to satisfy the Central Limit Theorem, which means that the sample should be approximately normal. In this case, the expected number of adults who own a motorcycle in the sample is only 1, which is less than the threshold of 10 needed for approximate normality. Therefore, the sample distribution is not normal, and a z-statistic cannot be used for hypothesis testing. The other conditions, such as random sampling and independence, are not relevant to this particular issue.

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Complete question:

The proportion of American adults who own a motorcycle is 2%. Samip believes the proportion of adults who own a motorcycle in his hometown is even lower. He randomly surveys 50 adults from his hometown and finds that 3 of them own a motorcycle. Identify why the sample in this situation does not meet all three conditions to perform a significance test using a z-statistic

The sample is not large enough because (50) (1-0.02) is not equal to or greater than 10.

The sample was not randomly selected.

The sample does not have independence.

The sample is not approximately normal because (50) (0.02) is not equal to or greater than 10.

The area of the yellow shape will be 5000 m sq.

We know that area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

The parameters are given as;

Length = 95 meters

Width = 60 meter

For a triangle we have the dimension of height is 35 meter

the base = 95 - 55 = 40 meter

First we need to find the area of the triangle;

Area =1/2 x base x height

Area =1/2 x 40 x 35

Area = 700 meter sq.

Then area of the rectangle = length × Width

= 95 x 60

=5700 m sq.

Therefore, the area of the yellow shape is;

= Area of rectangle -  area of triangle

= 5700 - 700

= 5000 m sq.

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In the clinical trial for a new antiviral influenza medication, it is important to have a control group and use a double-blind design.

A control group is important because it provides a baseline for comparison and allows researchers to determine the effectiveness of the new medication. By randomly assigning individuals to either the control group (receiving a sugar pill) or the experimental group (receiving the new medication), researchers can compare the outcomes between the two groups and assess the efficacy of the medication.

A double-blind design is also important in this experiment. It means that neither the participants nor the researchers know who is receiving the new medication and who is receiving the placebo (sugar pill).

This helps to minimize bias and ensure the validity of the results. If researchers knew which pill the subjects were taking, they might unintentionally influence the subjects' responses or behaviors, leading to biased results.

By keeping both the participants and researchers blinded, the study aims to eliminate such biases and provide more accurate and reliable findings.

Therefore, in this clinical trial for the antiviral influenza medication, having a control group and implementing a double-blind design are important aspects to ensure the validity and reliability of the study results.

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Answer:

300 miles / 6 hours = 50 miles/hour

Choice a) is correct

Step-by-step explanation:

Answer:

5: 4

Step-by-step explanation:

original ratio: 3:5

new ratio: 5:4

hope it helps!

The correct option is OA. y+4= -3(x-3). L 4.6.3 Test (CST): Linear Equations Solution: We are given that a line passes through (3,-4) and has a slope of -3.

We will use point slope form of line to obtain the equation of liney - y1 = m(x - x1).

Plugging in the values, we get,y - (-4) = -3(x - 3).

Simplifying the above expression, we get y + 4 = -3x + 9y = -3x + 9 - 4y = -3x + 5y = -3x + 5.

This equation is in slope intercept form of line where slope is -3 and y-intercept is 5.The above equation is not matching with any of the options given.

Let's try to put the equation in standard form of line,ax + by = c=> 3x + y = 5

Multiplying all the terms by -1,-3x - y = -5

We observe that option (A) satisfies the above equation of line, therefore correct option is OA. y+4= -3(x-3).

Thus, the correct option is OA. y+4= -3(x-3).

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Answer:

6.19 * 10^23 playlists

Step-by-step explanation:

She needs to decide 15 songs, and the number of songs of each of the 3 styles is the same, so we have 5 songs for each style.

The number of different groups of 5 rocks songs she can choose is a combination of 19 choose 5:

C(19,5) = 19! / (5! * 14!) = 19*18*17*16*15/(5*4*3*2) = 11628

In the same way, the number of different groups of 5 pop songs she can choose is a combination of 14 choose 5:

C(14,5) = 14! / (5! * 9!) = 14*13*12*11*10/(5*4*3*2) = 2002

The number of different groups of 5 blues songs she can choose is a combination of 21 choose 5:

C(21,5) = 21! / (5! * 16!) = 21*20*19*18*17/(5*4*3*2) = 20349

Then, the order of each song is important, so the number of possibilities for sorting 15 songs is calculated by the factorial of 15:

15! = 1,307,674,368,000

So the number of possible playlists is the product of each number of different groups and the sorting possibilities:

Number of playlists = 11628 * 2002 * 20349 * 1307674368000

Number of playlists = 6.19 * 10^23

If adam wanted to construct a one-sample t-statistic, the value for the degrees of freedom would be 7.

Given the following data:

Average speed : 60.5, 63.2, 54.7, 51.6, 72.3, 70.7, 67.2, and 65.4

To construct a one-sample t - statistic, the value of the degree of freedom will be ;

In a one sample test of known mean, if the number of observations are 4, one can choose to vary at most three of the observations and still obtain the mean, that is the 4th observation must remain fixed.

Degree of freedom = Number of observations (n) - 1. This is the maximum number of independent variables which can be varied.

Nunber of observations or sample size in the data above is 8

Hence,

Degree of freedom = (8 - 1) = 7

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The most goals scored by the team as shown on the box plot, in a game was 8 goals.

The uppermost value in a box plot is depicted by the upper whisker, and it stretches from the 3rd quartile (Q3) all the way to the maximum data point within 1.5 times the span between the first and third quartiles (IQR) above Q3.

What this means therefore, is that the most goals scored by the team would be 8 goals as this is the point on the box plot that is at the maximum level.

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Step-by-step explanation:

Total capacity of juice=1.5l

Capacity of small bottle=330ml

Therefore,total no. of bottles that can be filled

=1500ml/330ml

=150/33

=50/11

=4 6/11,

Therefore, 4 bottles can be filled completely

Four glasses of 330ml can be completely filled with One bottle containing 1.5 liters of fruit juice.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, One bottle contains 1.5 liters of fruit juice.

We know 1.5 liter is equal to 1500ml.

Therefore, The number of glasses of 330ml can be completely filled with 1500ml of fruit juice is we have to divide the amount of juice in the bottle by the amount of juice one glass holds which is,

= (1500/330).

= 150/33.

= 50/11.

Now, 11×4 is 44 so it can fill only four glasses.

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Answer:

w = 9

Step-by-step explanation:

Firstly, change the mixed numbers to improper fractions, that is

\(\frac{12}{5}\) w = \(\frac{108}{5}\) ( multiply both sides by 5 )

12w = 108 ( divide both sides by 12 )

w = 9

Answer:

w=9

Step-by-step explanation: