The frequency table shows the results of a survey that asked 175 high schoolers how they learn about news stories.

What is the frequency of a tenth grader getting their news from the Internet?

And please, maybe, explain how to get to the answer so I can figure this kind of stuff out?? Thanks so much if u will :) Max points!!

Answer:

Step-by-step explanation:

Given the expression  5 p + 6 = 7, to know the value of variable p. we need to make p the subject of the formula as shown;

Given  5 p + 6 = 7

Step 1: Subtract 6 from both sides

5p+6-6 = 7-6

5p = 7-6

Step 2: We will then divide both sides by the coefficient of p i.e 5 to have;

5p/5 = (7 - 6)/5

p =  (7 - 6)/5

Hence, the correct expression of variable p is p = (7 - 6)/5

The given image shows the following matrix,\[\begin{pmatrix}-4 & -6\\-7 & -2\end{pmatrix}\]

The expression that represents the determinant of the given matrix is: det(A) = (–4)(–2) – (–6)(–7).

The determinant of a 2 x 2 matrix is calculated as follows:\[\begin{vmatrix}a & b \\c & d\end{vmatrix} = ad - bc\]Here, a = -4, b = -6, c = -7, and d = -2.

Therefore, det(A) = (-4)(-2) - (-6)(-7) = 8 - 42 = -34.

Hence, the expression that represents the determinant of the given matrix is det(A) = (–4)(–2) – (–6)(–7) = -34.

To know more about matrix visit :-

https://brainly.com/question/27929071

#SPJ11

Answer:

a=4+2/x <-- 2 over x its a fraction

Step-by-step explanation:

\(\: \triangle EDF \: \sim \: \triangle HJG\)

\(ED \sim HJ \\ EF \sim JG \\ FD \sim GD\)

\( \frac{ED}{HJ} = \frac{ EF}{JG} = \frac{FD}{GD}\)

\( \frac{ \cancel9 {}^{ \: 3} }{ \cancel{15} {}^{ \: \: 5} } = \frac{14}{y} = \frac{12}{x} \\ y = \frac{14 \times 5}{3} = 23.3 = 23 \\ x = \frac{12 \times 5}{3} = 4 \times 5 = 20\)

By using sum or difference formulas, cos(-a) can be written as - cos(a). Explanation: We know that cosine is an even function of x, therefore,\(cos(-x) = cos(x)\) .Then, by using the identity \(cos(a - b) = cos(a) cos(b) + sin(a) sin(b)\), we can say that:\(cos(a - a) = cos²(a) + sin²(a).\)

This simplifies to:\(cos(0) = cos²(a) + sin²(a)cos(0) = 1So, cos(a)² + sin(a)² = 1Or, cos²(a) = 1 - sin²\)(a)Similarly,\(cos(-a)² = 1 - sin²(-a)\) Since cosine is an even function, \(cos(-a) = cos(a)\) Therefore, \(cos(-a)² = cos²(a) = 1 - sin²(a)cos(-a) = ±sqrt(1 - sin²(a))'.\)

This is the general formula for cos(-a), which can be written as a combination of sine and cosine. Since cosine is an even function, the negative sign can be written inside the square root: \(cos(-a) = ±sqrt(1 - sin²(a)) = ±sqrt(sin²(a) - 1) = -cos\).

To know more about sum visit:

https://brainly.com/question/31538098

#SPJ11

If f(x)=2x²-5x-3 g(x)=2x²+5x+2 then (f/g)(x) = (x - 3) / (x + 2).

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range.

To find (f/g)(x), we need to divide f(x) by g(x) as follows:

f(x) = 2x² - 5x - 3

g(x) = 2x² + 5x + 2

f(x) / g(x) = (2x² - 5x - 3) / (2x² + 5x + 2)

To simplify this expression, we can factor the numerator and denominator:

f(x) / g(x) = [(2x + 1)(x - 3)] / [(2x + 1)(x + 2)]

Now, we can cancel out the common factor of (2x + 1) from both the numerator and denominator:

f(x) / g(x) = (x - 3) / (x + 2)

Therefore, (f/g)(x) = (x - 3) / (x + 2).

To learn more about functions from the given link:

https://brainly.com/question/12431044

#SPJ1

Answer:

To maximize profits;

96 t-shirts should be produced

85 hats should be produced

The profit from the t-shirts is $348

The profit from the hats is $425

Step-by-step explanation:

The given information are;

The amount of profit per t-shirt = $4

The amount of profit per t-shirt = $5

The time it takes to print a t-shirt = 10 minutes

The time it takes to dry the printed t-shirt = 15 minutes

The time it takes to print a hat = 16 minutes

The time it takes to dry the printed hat = 12 minutes

The amount of time available for printing = 20 hours = 1200 minutes

The amount of time available for drying = 20 hours = 1200 minutes

Therefore, we have;

The total number of t-shirts that can be printed in 20 hours = (The amount of time available for printing)/(The time it takes to print a t-shirt)

The total number of t-shirts that can be printed in 20 hours = (1200 minutes)/(10 minutes)

The total number of t-shirts that can be printed in 20 hours = 120 t-shirts can be printed

The total number of t-shirts that can be dried in 20 hours = (The amount of time available for drying the t-shirts)/(The time it takes to dry a t-shirt)

The total number of t-shirts that can be dried in 20 hours = (1200 minutes)/(15 minutes) = 80 t-shirts can be dried

The total number of hats that can be printed in 20 hours = (The amount of time available for printing)/(The time it takes to print a hat)

∴ The total number of hats that can be printed in 20 hours = (1200 minutes)/(16 minutes) = 75 hats can be printed

The total number of hats that can be dried in 20 hours = (The amount of time available for drying the hats)/(The time it takes to dry a hat)

∴ The total number of hats that can be dried in 20 hours = (1200 minutes)/(12 minutes) = 100 hats

Therefore, given that only 80 t-shirts can be dried in 20 hours, we have;

The total number of t-shirts to be produced = 80 t-shirts

The profit made from the shirts is 80 × $4 = $320

Also, given that only 75 hats can be dried in 20 hours, we have;

The total number of t-shirts to be produced = 75 hats

The profit made from the shirts is 75 × $5 = $375

However, to maximize profit, we have;

Total time to print and dry the t-shirts = 1200 + 1200 = 2,400 minutes

Therefore, whereby X number of t-shirts can be produced in the total time, we have;

10·x + 15·x = 2,400 minutes

25·x = 2,400 minutes

x = 2,400 minutes/25 = 96 t-shirts should be produced

Profit = $4 × 96 = $348

Similarly, for the hat, we have;

16·x + 12·x = 2,400 minutes

28·x = 2,400 minutes

x = 2,400 minutes/28 ≈ 85 hats should be produced (rounding down)

Profit = $5 × 85 = $425.

The number of boys and girls in a team after the selection of participants are 2 and 3, respectively

The number of boys are girls are given as

Boys = 28

Girls = 42

Sections = 6

To form teams with the same number of boys and girls on each team, we need to determine the greatest common factor (GCF) of the number of girls and the number of boys.

Factors of 28: 1, 2, 4, 7, 14, 28

Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42

The greatest common factor of 28 and 42 is 14.

So, we have

Boys = 28/14 = 2

Girls = 42/14 = 3

This means that each team has 2 boys and 3 girl

Read more about GCF at

https://brainly.com/question/17067741

#SPJ1

The tank can hold up to average 90,000 gallons of water, since it is already filled with 54,000 gallons and 60% of that is food.

Volume = πr2h

= 3.14 x (15 feet)2 x 18 feet

= 15,444.4 cubic feet

15,444.4 cubic feet x 7.48 gallons/cubic feet = 115,511.17 gallons

115,511.17 gallons - 54,000 gallons = 61,511.17 gallons

61,511.17 gallons + 54,000 gallons = 115,511.17 gallons

115,511.17 gallons is the total capacity of the tank.

The tank is able to hold up to 90,000 gallons of water, since it already contains 54,000 gallons and 60% of that is food. This means that the tank can still hold up to 36,000 gallons of water, giving it a total capacity of 90,000 gallons. This is possible because the tank is in the shape of a cylinder, which means that the volume of the tank is determined by the formula V = πr2h, where V is the volume, r is the radius, and h is the height. This means that the tank can be adjusted accordingly to increase or decrease the amount of water it can hold. In this case, the tank is able to hold up to 90,000 gallons of water because the capacity of the tank is determined by the size of its radius and height, and can be adjusted accordingly to increase or decrease the amount of water it can hold.

Learn more about average here

https://brainly.com/question/24057012

#SPJ4

Answer:

c 44

Step-by-step explanation:

Answer: 44

55^2 minus 33^2 = radical 1936 which equals to 44 because 44^2 is.. 1936

The rate of constant for the above-given first-order reaction is b.) 8.77 × 10–3 h–1.

The half-life of a first-order reaction can be calculated using the equation t1/2 = ln(2)/k, where t1/2 is the half-life and k is the rate constant.

In this case, we know that the reaction goes to half completion in 79 hours. Therefore, the half-life is also 79 hours.

Plugging this into the equation, we get:

79 = ln(2)/k

Solving for k, we get:

k = ln(2)/79

Using a calculator, we can evaluate this expression to get:

k = 8.77 × 10–3 h–1

Therefore, the correct answer is b) 8.77 × 10–3 h–1.

Learn more about the first-order reaction:

https://brainly.com/question/26497269

#SPJ11

The person who has a better average will be Clancy.

The person who has more varied scores is Bristoe.

Bristoe - 18,32,26,53,5,29,41,15,85,9,44,28,100,37,55. The average will be the addition of the numbers as dividing by 15. This will be:

= 577/15

= 38.47

Clancy - 41,26,33,51, 26,29,60,45,60,19,42,36.

Average= 468/12

= 39

The person who has a better average will be Clancy.

The person who has more varied scores is Bristoe.

Learn more about average on:

brainly.com/question/6504879

#SPJ1

Answer with Step-by-step explanation:

a) 2 3/4 ÷ 3 = 11/12 feet

11/12 + 11/12 = 1 5/6

Or, you could write an algebraic equation:

 2 3/4 ÷ 3 = x.  (3x = 2 3/4)

x = 11/12

The height of the brick proportion of the wall is 1 5/6

b)

You know that 8 x 2 is 16. Well, you already know that the whole total of fractions, multiplied together, would probably be less that 1 and less than 1/2.

So, your rounded answer should be 16. Or 16 1/2

c)  

Area = 8 1/2 x 2 3/4.

Use Distributive Property to solve the area.

(8 x 2) + (3/4 x 1/2) = x

8 x 2 = 16

3/4 x 1/2 = 3/8

16 + 3/8 = 16 3/8

x = 16 3/8

I think my answer is reasonable because I estimated 16, and 1/2. 3/8 is close to 1/2. That's why my answer is reasonable.

-kiniwih426

Answer:

y=2x+1

Step-by-step explanation:

Y intercept is 1 and slope is 2/1

To find the value of w that satisfies the equation 2u v - 3w = 0, where u = (-6, 0, 0, 2) and v = (-3, 5, 1, 0), we can substitute the given values into the equation and solve for w.

Substituting the given values of u and v into the equation 2u v - 3w = 0, we have:

2(-6, 0, 0, 2)(-3, 5, 1, 0) - 3w = 0.

Expanding the scalar multiplication and performing the dot product, we get:

(-12, 0, 0, 4)(-3, 5, 1, 0) - 3w = 0,

(36 + 0 + 0 + 0) - 3w = 0,

36 - 3w = 0.

Simplifying the equation, we have:

36 = 3w,

w = 12.

Therefore, the value of w that satisfies the equation is 12. By substituting w = 12 into the equation 2u v - 3w = 0, we get:

2(-6, 0, 0, 2)(-3, 5, 1, 0) - 3(12) = 0,

(-12, 0, 0, 4)(-3, 5, 1, 0) - 36 = 0,

36 - 36 = 0,

0 = 0.

Hence, the value of w = 12 makes the equation true, satisfying the given condition.

Learn more about  scalar multiplication here:

https://brainly.com/question/28875206

#SPJ11

To find the inverse Laplace transform of the function h(s) = as * b * (s - α)^2 / β^2, you can use the inverse Laplace transform formula and properties. Here's the result:
Inverse Laplace Transform{ h(s) } = L^(-1){ as * b * (s - α)^2 / β^2 }

The inverse Laplace transform of this function is a time-domain function represented as h(t). Keep in mind that the inverse Laplace transform is a unique process that transforms a function from the frequency (s) domain back to the time (t) domain. Unfortunately, without more information about the specific values of a, b, α, and β, I cannot provide a more precise answer.

Learn more about inverse Laplace transform here:

https://brainly.com/question/31322563

#SPJ11

Answer:

11.   g

12.  f

13.  e    (add all the frequencies)

14.  d

15.  c    (eg. 17.5 -8.5 = 9)

16.  b

17.  a

Let me know if you have any questions.

Hope this helps!

Answer:

0.46 or 0.47

Step-by-step explanation:

A pound is 16 ounces

16 x 2 = 32

14.95 ÷ 32 = 0.4671875

Since cents only goes to the top ten, depending on the question, it will either be 0.46 or rounded to 0.47

The required price per ounce of coffee would be $0.47 per ounce.

In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings.

For example 4/2 = 2

To calculate the price per ounce.

We have to divide the cost of the bag of coffee by the number of ounces it contains.

As per the given question, the required solution would be as:

There are 16 ounces in a pound, so the 2-pound bag of coffee contains :

⇒ 2 × 16 = 32 ounces.

To find the price per ounce, divide the price of the bag of coffee by the number of ounces it contains:

⇒ $14.95 / 32 ounces

Apply the division operation, and we get

⇒ $0.47 per ounce.

Therefore, the price per ounce of coffee would be $0.47.

To learn more about the division operation click here :

brainly.com/question/25870256

#SPJ2

Answer:

Independent variable = number of bub (b)

Dependent variable = total cost (c)

Equation: c = $1.25b + $10

Timothy would spend: $20

Step-by-step explanation:

Total cost = c

Number of bub = b

✔️Total cost, c, is dependent on the number of bub, b.

Therefore:

Independent variable = number of bub (b)

Dependent variable = total cost (c)

✔️Equation that describes this situation can be written as:

c = $1.25b + $10

✔️If Timorhy buys 8 bubs, he would spend the following:

Substitute b = 8 into c = $1.25b + $10, and solve for c.

c = $1.25(8) + $10

c = $10 + $10

c = $20

[ ( 30 - 8 ) ÷ 2 + 2 ]

[ ( 22 ÷ 2 ) + 2 ]

[ ( 11 + 2 ) ]

[ 13 ]

The acceleration of the particle at \(t = 2\) seconds is \(4\) cm/s².

To find the acceleration of the particle at \(t = 2\) seconds, we need to differentiate the position function twice with respect to time. First, let's differentiate the position function \(s(t)\) once to find the velocity function \(v(t)\). Using the chain rule, we have:

\(\(v(t) = \frac{d}{dt}[(4t+1)^{3/2}]\)\)

To simplify the differentiation, we can rewrite the function as\(\(v(t) = (4t+1)^{3/2}\)\) . Applying the power rule, the derivative becomes:

\(\(v(t) = \frac{3}{2}(4t+1)^{1/2} \cdot 4\)\)

Simplifying further, we have:

\(\(v(t) = 6(4t+1)^{1/2}\)\)

Next, we differentiate the velocity function \(v(t)\) to find the acceleration function \(a(t)\):

\(\(a(t) = \frac{d}{dt}[6(4t+1)^{1/2}]\)\)

Using the power rule again, we get:

\(\(a(t) = 6 \cdot \frac{1}{2}(4t+1)^{-1/2} \cdot 4\)\)

Simplifying further, we have:

\(\(a(t) = 12(4t+1)^{-1/2}\)\)

Now we can find the acceleration at \(t = 2\) seconds by substituting \(t = 2\) into the acceleration function:

\(\(a(2) = 12(4 \cdot 2 + 1)^{-1/2}\)\)

\(\(a(2) = 12(9)^{-1/2}\)\)

Simplifying the expression, we have:

\(\(a(2) = \frac{12}{3} = 4\) cm/s²\)

Therefore, the acceleration of the particle at \(t = 2\) seconds is \(4\) cm/s².

To know more about acceleration refer here:

https://brainly.com/question/12550364

#SPJ11

Among the given alternatives, the following option accurately describes the expected frequencies for a chi-square test: They can contain fractions or decimal values.

The answer is B.

A chi-square test is a statistical method used to measure the relationship between two categorical variables. The null hypothesis for a chi-square test is that there is no relationship between the variables.

The expected frequency (EF) is the number of times an outcome is expected to occur during a trial based on probabilities. In a chi-square test, the expected frequencies are calculated based on probabilities and sample sizes.

The expected frequency can be a fraction or a decimal, and it is determined by multiplying the row total and column total of each cell by the overall total and dividing it by the total number of observations.

The chi-square test statistic is calculated by comparing the observed frequencies to the expected frequencies. The test statistic is then compared to a critical value in a chi-square distribution table to determine whether to accept or reject the null hypothesis.

Hence, the answer of the question is B.

Learn more about chi-square test at:

https://brainly.com/question/16749509

#SPJ11

Answer: 17% increase

Step-by-step explanation:

Percentage increase/decrease = (final value - initial value) / initial value x 100
% change = (1,544,400 - 1,320,000) / 1,320,000 x 100
% change = 224,400 / 1,320,000 x 100
% change = 0.17 x 100
% change = 17% increase

Answer:

The numerator is the number on top of the bottom number (denominator)

The segment lengths, considering the reflection, are given as follows:

The length of segment CL is obtained considering the ruler, as follows:

Hence the length of segment CL is obtained as follows:

3.5 - 0 = 3.5 units.

Segment LC' is obtained as a reflection of the polygon BKLC over the segment LK.

A reflection is a rigid translation, means that the original figure and the reflected figure are similar and congruent, keeping both the angle measures and the side lengths with the same values.

Segment LC' is the image of segment CL after the reflection, meaning that they are congruent, thus the length of segment LC' after the rotation is given as follows:

LC' = 3.5 units.

More can be learned about reflections at https://brainly.com/question/1908648

#SPJ1

Answer:

3.8 for both

explanation:

trust me bro

The confidence interval by plugging in the values:

Lower Bound = 240.2 - (1.761) * (21.9 / √15)

Upper Bound = 240.2 + (1.761) * (21.9 / √15)

To construct a 90% confidence interval estimate of the population mean tread wear index, we can use the formula:

Confidence Interval = Sample Mean ± (Critical Value) * (Standard Error)

where:

Sample Mean is the mean tread wear index of the sample (240.2 in this case)

Critical Value is determined based on the desired confidence level (90% in this case)

Standard Error is the standard deviation of the sample divided by the square root of the sample size (21.9 / √15 in this case)

Step 1: Calculate the Critical Value

Since the sample size is relatively small (n = 15) and the population distribution is assumed to be normal, we can use the t-distribution for the critical value. For a 90% confidence level and (n-1) degrees of freedom (14 degrees of freedom in this case), the critical value can be obtained from the t-distribution table. Looking up the critical value for a 90% confidence level and 14 degrees of freedom, we find it to be approximately 1.761.

Step 2: Calculate the Standard Error

Standard Error = Sample Standard Deviation / √Sample Size

Standard Error = 21.9 / √15

Step 3: Calculate the Confidence Interval

Confidence Interval = Sample Mean ± (Critical Value) * (Standard Error)

Confidence Interval = 240.2 ± (1.761) * (21.9 / √15)

Now, calculate the upper and lower bounds of the confidence interval by plugging in the values:

Lower Bound = 240.2 - (1.761) * (21.9 / √15)

Upper Bound = 240.2 + (1.761) * (21.9 / √15)

Compute the values to find the 90% confidence interval for the population mean tread wear index.

Learn more about confidence interval here

https://brainly.com/question/20309162

#SPJ11

This is my answer......