Which of the following were found to be true in a study by the American Press Institute concerning reader comprehension? (Choose every correct answer.) Multiple select question. People understood most sentences equally well, regardless of their length. For sentences longer than 20 words, comprehension fell to 80% or less comprehension. Most people could easily understand sentences up to 40 words long. The sentences that people understood most easily had no more than 10 words.

Answer:

0.13188 km

Step-by-step explanation:

The distance covered by the bicycle wheel can be calculated using the formula:

distance = circumference x number of revolutions

The circumference of the wheel can be calculated using the formula:

circumference = 2 x pi x radius

where pi is approximately equal to 3.14.

Substituting the given values:

circumference = 2 x 3.14 x 30 cm

circumference = 188.4 cm

Now, we can calculate the distance covered by the wheel:

distance = circumference x number of revolutions

distance = 188.4 cm x 70

distance = 13188 cm

To convert this distance from centimeters to kilometers, we need to divide by 100,000 (since there are 100,000 centimeters in a kilometer):

distance = 13188 cm ÷ 100,000

distance = 0.13188 km

Therefore, the distance covered by the bicycle wheel is approximately 0.13188 km.

A symbol that completes the inequality 6x - 3y ___ -12 is: C. ≥.

In Mathematics and Geometry, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;

Next, we would evaluate the inequality by using specific ordered pairs (x, y) as follows;

(0, 0)

6(0) - 3(0) ? -12

0 ≥ -12

(1, 2)

6(1) - 3(2) ? -12

0 ≥ -12

(-1, 2)

6(-1) - 3(2) ? -12

-12 ≥ -12

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\(3 \sqrt{7} \times 17 \sqrt{14} \)

This is the problem that we need to solve. The best way to get about it is to first:

The skills needed are multiplication, mulitplication of radicals, and simplifying radicals, so if you want to review anything use these as reference.

Hope you understood and have a nice day!!

Answer:

12$ is the amount Gemma would get.

Step-by-step explanation:

27$ divided by 9 hours is 3$ per hour, aka the unit rate. Since Gemma worked 4 hours, we do 3$x4 and we get 12$

Answer:

Step-by-step explanation:y=1/4 X +6

Answer:

y= 1/4x+ 6

Step-by-step explanation:

Because the line intersects the y-axis at 6, we know the y-intercept, b, is 6.

By counting, we can see the line rises 1 unit for every 4 units it runs to the right. So, the slope, m, of the line is 1/4.

Substitute m and b into the slope-intercept equation, y = mx + b. The equation of the line is y = 1/4 x + 6.

Answer:

$5.64 is left for tip.

Step-by-step explanation:

Given that,

The total bill of Julio = $37.60

He leaves a 15% tip.

We need to find the amount Julio left for the tip.​

The left amount can be calculated as follows :

\(L=15\%\ of\ 37.60\\\\=\dfrac{15}{100}\times 37.60\\\\=\$5.64\)

So, Julio left $5.64 for tip.

The required values of ω are √11 and - √11. This can be answered by the concept of differential equation.

The values of x for which the function f(x) = sin(x) satisfies the differential equation 11f''(x) = 0 are x = 0, π, 2π, 3π, 4π, ….

Given, the differential equation is y′′ + 11y = 0

Since the function is y = sin (ωt)

Therefore, the derivative of y is y′ = ω cos (ωt)

And, the second derivative of y is y′′ = −ω² sin (ωt)

Comparing the differential equation and the given function

we have−ω² sin (ωt) + 11 sin (ωt) = 0sin (ωt) [11 - ω²] = 0

Now, as sin (ωt) cannot be equal to zero for all values of ωt except 2nπ

Hence 11 - ω² = 0ω² = 11ω = ± √11

Therefore, the values of ω for which the function satisfies the given differential equation are√11 and - √11.

Hence, the required values of ω are √11 and - √11.

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Answer:

12 rolls, because 4.25 go into 20 , four times so u take 4 and multiply it by 3 and get 12.    

Answer:

A. 144

Step-by-step explanation:

Since 12 was multiplied by 8, you also multiply 18 by 8, which equals 144.

Answer:

y=1/2x+5/2

Step-by-step explanation:

Answer:

If the coefficient of determination is .798, then 79.8% of the data about this regression line is explained, so 20.2% of the data about this regression line is unexplained.

Answer:

you spell it bully

hope it helps you out :)

Answer: it’s spelled Bully

Step-by-step explanation: B-U-L-L-Y

The five-number summary for the given data set is: Minimum: 19.5, Q1: 51.4, Q2 (Median): 54.5, Q3: 56.6, Maximum: 58.3

To calculate the five-number summary for the given data set, we need to find the minimum, the first quartile (Q1), the median (Q2), the third quartile (Q3), and the maximum.

1. Arrange the data in ascending order:

19.5, 23.2, 50.1, 52.7, 52.9, 54.5, 55.6, 55.6, 57.6, 58.3, 58.3

2. Obtain the minimum:

The minimum value is 19.5.

3. Obtain Q1 (the first quartile):

Q1 is the median of the lower half of the data set.

In this case, we have 11 data points, so the lower half consists of the first 5 data points:

19.5, 23.2, 50.1, 52.7, 52.9

To obtain Q1, we need to calculate the median of these data points:

Q1 = (50.1 + 52.7) / 2 = 51.4

4. Obtain Q2 (the median):

Q2 is the median of the entire data set.

In this case, we have 11 data points, so the median is the middle value:

Q2 = 54.5

5. Obtain Q3 (the third quartile):

Q3 is the median of the upper half of the data set.

In this case, we have 11 data points, so the upper half consists of the last 5 data points:

55.6, 55.6, 57.6, 58.3, 58.3

To obtain Q3, we need to calculate the median of these data points:

Q3 = (55.6 + 57.6) / 2 = 56.6

6. Obtain the maximum:

The maximum value is 58.3.

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The largest angle in the pentagon with consecutive even interior angle sizes is 112 degrees.

Let's assume the smallest interior angle of the pentagon is x degrees. Since the angles are consecutive even numbers, the other four angles can be expressed as x + 2, x + 4, x + 6, and x + 8 degrees.

The sum of the interior angles of a pentagon can be calculated using the formula: (n - 2) * 180 degrees, where n is the number of sides of the polygon. For a pentagon, the sum of the interior angles is (5 - 2) * 180 = 3 * 180 = 540 degrees.

Now, let's add up the five angles of the pentagon:

x + (x + 2) + (x + 4) + (x + 6) + (x + 8) = 540

Simplifying the equation:

5x + 20 = 540

5x = 540 - 20

5x = 520

x = 520 / 5

x = 104

So, the smallest interior angle, x, is 104 degrees. The largest interior angle is x + 8 = 104 + 8 = 112 degrees.

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So, approximately 59 fish in the school would be longer than 92 cm.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides separated by an equal sign (=). The expressions on both sides of the equal sign can contain variables, constants, coefficients, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, logarithms, etc.

Here,

We can solve this problem using the normal distribution formula, which states:

z = (x - mu) / sigma

where z is the standard score, x is the raw score, mu is the mean, and sigma is the standard deviation.

To find the number of fish longer than 92 cm, we need to find the proportion of fish in the population with lengths greater than 92 cm. We can then multiply this proportion by the total number of fish in the school to get the number of fish longer than 92 cm.

First, we calculate the standard score for 92 cm:

z = (92 - 78) / 14

z = 1

Next, we look up the proportion of the standard normal distribution that corresponds to a z-score of 1. We can use a standard normal distribution table or calculator to find this value. The proportion of the distribution that is greater than z = 1 is approximately 0.1587.

Therefore, the proportion of fish in the population with lengths greater than 92 cm is 0.1587. To find the number of fish longer than 92 cm, we multiply this proportion by the total number of fish in the school:

370 * 0.1587 = 58.8

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Answer:

B.

Step-by-step explanation:

I chose B because goes through zero. Sorry if it wrong.

Answer: c

Step-by-step explanation:

just say your welcome

A system of two equations can be classified as follows: If the slopes are the same but the y-intercepts are different, the system has no solution. If the slopes are different, the system has one solution. If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.

Step-by-step explanation:

since there is no graph it's a bit hard to answer this question, but I'll try. I can help solve the equation that represents the ratio of the two numbers:

(x + 1/2)/y = 1/3

This can be simplified to:

x + 1/2 = y/3

To graph this equation, you would need to plot points that satisfy the equation. One way to do this is to choose a value for y and solve for x. For example, if y = 6, then:

x + 1/2 = 6/3

x + 1/2 = 2

x = 2 - 1/2

x = 3/2

So one point on the graph would be (3/2, 6). You can choose different values for y and solve for x to get more points to plot on the graph. Once you have several points, you can connect them with a line to show the relationship between x and y.

(Like I said, it was a bit hard to answer this question, so I'm not 100℅ sure this is the correct answer, but if it is then I hoped it helped.)

Answer:

Harry has a loan of $9000 in total. Harry obtained a loan from the bank. Explanation Harry's remaining debt, expressed in dollars, is modeled as a function of time t, expressed in months, by the function D(t). The role is played by, This function can be used to determine that $200 is being subtracted each month from the function, meaning Harry is paying $200 toward his loan. Harry has not yet made any payments, therefore we may set t=0 to obtain the total amount of his solo. Therefore, the value of D(t) will reveal the loan's net amount. Harry's borrowing, therefore, equals to $9000.

Answer:

the answer for this question is 7-2x

varables:

O= omar songs\

S= total # of songs

equation:

2o+37= S

Hoped that helped:)

Answer:

The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate. The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.

The composition of one or more rigid motions and a dilation is called a​ similarity transformation.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.

The composition of one or more rigid motions and a dilation is called a​ similarity transformation.

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A type I error, also known as a false positive, is when a test incorrectly rejects the null hypothesis. In this context, a type I error would mean that the test incorrectly concludes that the proportion of water bottles that are recycled is more than 23% after the program, when in reality it is still 23%.

1. Calculate the means of the two samples.

2. Calculate the standard deviation of the two samples.

3. Calculate the degrees of freedom (df) by subtracting 1 from the total

number of samples.

4. Calculate the t-statistic by subtracting the means of the two samples, dividing the result by the standard deviation, and then dividing that result by the square root of the degrees of freedom.

5. Calculate the critical value of t from the t-distribution table for the degrees of freedom and the chosen level of significance.

6. Compare the calculated t-statistic with the critical value of t.

7. Make a decision – accept or reject the null hypothesis.

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Answer: The first 3 options

Step-by-step explanation:

You have to make sure that the given variable would be able to equal -5. The  \(\geq\) sign in the second and third answer show that the variable could be equivalent to -5.

Answer:

g > -7, f ≤ -5 and g ≥ -5

Step-by-step explanation:

the < and > symbols mean less than and greater than respectively, but not including. Therefore -5 cannot be a valid solution if the range is (for example) g > -5. However, ≤ and ≥ mean less/greater than or equal to, so -5 would be a valid solution for g ≥ -5 (for example).

Step-by-step explanation:

this is equation......................

Answer:

Step-by-step explanation:

We divide the number by 8 and write the remainder in reverse order to get the equivalent octal number.

Answer:

Let's write down the base of each one:

- Decimal is base 10 (0 to 9)

- Octal is base 8 (0 to 7)

So, if we want to convert decimal to octal, we need to divide the decimal number by 8 and hold onto the remainder.

Then once your quotient becomes 0, from the last remainder to the first, write your numbers.

For example here is 437 base 10.

437 / 8 = 54 R 5

54 / 8 = 6 R 6

6 / 8 = 0 R 6

So, the answer is 665 base 8.