a study found that 15% of teenagers get the recommended 8 to 10 hours of sleep each school night. a guidance counselor at a large high school takes a random sample of 80 students and asks them if they get 8 to 10 hours of sleep each night of the school week. of the 80 students, 15 state they get 8 to 10 hours of sleep each school night. The P-value for the test of the hypotheses, H.;p=0.15 and H.:p#0.15, is 0.35. What is the correct interpretation of this value? 1115% of teenagers get 8 to 10 hours of sleep each school night, there is a 35% probability that the sample proportion would be 0.19 or more different by chance alone, Assuming 15% of teenagers get the recommended 8 to 10 hours of sleep each school night, there is a 35% chance that the sample proportion would be 0.19 by chance alone, If 15% of teenagers get the recommended 8 to 10 hours of sleep each school night, then 35% of the teenagers in this sample got the recommended amount of sleep by chance alone, Assuming 15% of teenagers get the recommended 8 to 10 hours of sleep each school night, there is a 35% chance that the true proportion of teenagers getting the recommended sleep is 0.15 by chance alone,
Previous question

The average velocity is  -10 ft/s.

Average velocity is just the average speed with a direction. If a trip starts and ends at the same point, the total displacement is zero, so the average velocity is zero.

For example, someone who takes 40 minutes to drive 20 miles north and then 20 miles south (to end up at the same place), has an average speed of 40 miles divided by 40 minutes, or 1 mile per minute (60 mph).

Given:

f(t) = 20t - 10t²

Now, from t=1 to t=2

f(1)= 20*1 - 10 * 1*1

f(1)= 10

and, f(2)=20*2-10*2*2

f(2)= 40-40

f(2)=0

Now,

Average velocity:

v = ( 0-10 ) / ( 2- 1 )

  = -10 ft/s

hence, the average velocity is  -10 ft/s.

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Answer:

False

Step-by-step explanation:

1. The inverse function should have c(n) isolated
2. When finding the inverse of a function, the variables c(n) and n are interchanged (and then c(n) is isolated).
It would look like this --->c(n)=50+4n--->n=50+4(c(n)) ---> c(n)=(n-50)/4

Answer:

$160 in 10 hours

Step-by-step explanation:

We know that Kevin earns $112 for working 7 hours. To find the answer for 10 hours, we need to find the unit rate.

Divide 112÷7= $16 for every 1 hour he works.

Now, we can use the unit rate to find the amount earned for 10 hours.

16×10= $160

Answer:

B

Step-by-step explanation:

\(\frac{dy}{dx}= (x-2)(y-2)\\ y>2\\\frac{dy}{y-2}=(x-2)dx\\\)

integrate both side

-5j + 3 = -4j - 2

-5j + 4j = -2 - 3

-j = -5

=》j = 5

_______

Hope it helps ⚜

=> -5j + 3 = -4j -2

=> -5j + 4j = -2 - 3

=> -j = -5

=> j = 5

The value of j is 5.

Answer:

  y = {-1/2x +7 for x < 6; 1/2x +1 for x ≥ 6}

Step-by-step explanation:

You want y = 1/2|x -6| +4 written as a piecewise function.

The absolute value function changes its definition when its argument is negative:

  y = |x|   ⇒   y = -x for x < 0, and y = x for x ≥ 0

This means our piecewise function will have one definition for (x-6) < 0 and another for (x -6) ≥ 0.

The argument is negated in this domain, so we have ...

  y = -1/2(x -6) +4

  y = -1/2x +3 +4

  y = -1/2x +7

The absolute value function is an identity function in this domain:

  y = 1/2(x -6) +4

  y = 1/2x -3 +4

  y = 1/2x +1

Combining these descriptions into one, we have ...

  \(\boxed{y=\begin{cases}-\dfrac{1}{2}x+7&\text{for }x < 6\\\\\dfrac{1}{2}x+1&\text{for }x\ge6\end{cases}}\)

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Answer:

3.43

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

7/6 and 4/3 are both improper fractions, you can't have the numerator be greater than the denominator (you would have to simplify an improper fraction to a mixed number for it to be acceptable). Lastly, 4/4 would just equal 1. So therefore, 3/4 is the right answer.

Answer:

like 20 percent

It is observed that point (18, 206) does not lie on the line. Then the correct option is D.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The equation is given below.

y = 12x

Where 'y' represents the number of gallons of water in the pool and 'x' represents the number of minutes the water runs.

The equation is drawn below.

From the chart, it is seen that point (18, 206) doesn't lie on the line. Then the right choice is D.

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The new height of the plant when it was last measured is \(\frac{2}{5}cm\) tall

The initial height of the plant is 4/5 meters tall

If 1/2 meter was cut off, hence the new height of the plant will be expressed as;

\(N_h=\frac{4}{5} -\frac{1}{2}\\N_h=\frac{2(4)+5}{10}\\N_h=\frac{8-5}{10}\\N_h=\frac{3}{10}\)

Hence the new height is 3/10

If the height of the plant when last measured had grown back ​1/10​ meter, the height was last measured is expressed as \(\frac{3}{10}+ \frac{1}{10}= \frac{4}{10}=\frac{2}{5}\)

Hence the height of the plant when it was last measured is \(\frac{2}{5}cm\) tall

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The new height of the plant when it was last measured is  tall

The initial height of the plant is 4/5 meters tall

If 1/2 meter was cut off, hence the new height of the plant will be expressed as;

Hence the new height is 3/10

If the height of the plant when last measured had grown back ​1/10​ meter, the height was last measured is expressed as

Hence the height of the plant when it was last measured is  2/5 tall

Answer:

Below in bold.

Step-by-step explanation:

Supplementary angles add up to 180 dgrees, so we have the equation:

3x + 19 + 7x - 9 = 180

10x + 10 = 180

10x = 180 - 10

10x = 170

x = 17.

So m <ABC = 3(17) + 19 = 70 degrees

and m < DBC = 7(17) - 9 = 110 degrees.

Answer:

3x + 19+7x-9=180

10x+10=180

10x=180-10

10x=170

x =17

Answer:

3253 maybe. ( I am not entirely confident with this answer)

Step-by-step explanation:

Answer:

5 Hours

Step-by-step explanation:

He’s going 63 MPH

441/7 = 63 MPH

315/63 = 5 Hours

Answer:

5 hours

Step-by-step explanation:

First, divide 441 miles by 7 hours to get a rate of 63 miles/1 hour. Then divide 315 miles by 63mph to get 5 hours.

Answer:

Solution for Find the exact value of the expression cos 11π/6. ... Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!* ... Q: The pair of equations x+2y+5 = 0 and -3x-6y+1=0 have how many ... of the tangent line to the graph of f(æ) = (e¯")² at a = - In 2 is Select one: O a. y + . ... All Rights Reserved.

Answer: dont you have the numbers on the side

Step-by-step explanation:

Answer:

y=4

Step-by-step explanation:

We recognize x=−4 as a vertical line, so its perpendicular will be horizontal. The equation of the horizontal line containing the point (−3,4) is given by y=4.

The slope-intercept form of a line perpendicular to x=−4 that contains the point (−3,4) is y = 4.

The slope-intercept form of a line is y = mx + c.

Here, m = slope and c = y-intercept of the line.

The equation of the given line is x = - 4

Therefore, the given line is a vertical line.

Now, the line that is perpendicular to the line x = - 4, is a horizontal line.

Now, the horizontal line that passes through the point (- 3, 4) is y = 4.

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Answer:

49

Step-by-step explanation:

The numbers in 14 divided by 2/7 are labeled below:

14 = whole number

2 = numerator

7 = denominator

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:

\(\frac{14*7}{2}=\frac{98}{2}\)

Thus, the answer to 14 divided by 2/7 in fraction form is:

\(\frac{98}{2}\)

To make the answer to 14 divided by 2/7 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

98 / 2 = 49

The answer is rounded to the nearest two decimal points if necessary.

98/2 can be simplified to 49/1.

49/1 is an improper fraction and should be written as 49.

[RevyBreeze]

The division of 14 by 2/7 gives the quotient 49.

The division is one of the four introductory fine operations, the other three being addition, deduction, and addition. In simple words, division can be defined as the splitting of a large group into lower groups similar that every group will have an equal number of particulars. It's an operation used for equal grouping and equal sharing in calculation.

We have to divide 14 by 2/7.

So, We have to multiply the fraction by reciprocate the number 2/7 to 7/2.

So, the division is

= 14 x 7/2

= 7 x 7

= 49.

Thus, the quotient is 49.

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The correct options are sample more families, sample families having children who are not in seventh grade.

Sample families that do not have children. Sample families living in every third house in neighborhood.

To increase the validity of the results of Kai's survey, he could make the following improvements to his sample:

Sample more families: Increasing the sample size would make the results more representative of the neighborhood as a whole, reducing the impact of random variation and making the estimates more precise.

Sample families that have children who are not in seventh grade: This would make the sample more diverse and representative of families with children of different ages.

Sample families that do not have children: Including families without children would make the sample more diverse and representative of the entire neighborhood.

Sample families living in every third house in the neighborhood: This would help to ensure that the sample is geographically representative of the neighborhood, reducing the chance of

sampling bias.

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The set of the expression (A ∪ B) ∩ (B ∩ C') is {2, 3, 6}.

What is set?

Sets in mathematics, are simply a collection of distinct objects forming a group. A set can have any group of items, be it a collection of numbers, days of a week, types of vehicles, and so on. Every item in the set is called an element of the set.

Given that, U = {1, 2, 3, 4, 5, 6, 7, 8}, A = {6, 8, 2}, B = {3, 2, 5, 6}, and C = {5, 1, 7}.

If U is a universal set and A be any subset of U then the complement of A is the set of all members of the universal set U which are not the elements of A.

So, complement of set C is C'={2, 3, 4, 6, 8}

Now, (A ∪ B) ∩ (B ∩ C')

= ({6, 8, 2}∪{3, 2, 5, 6}) ∩ ({3, 2, 5, 6}∩{2, 3, 4, 6, 8})

= {2, 3, 5, 6, 8} ∩ {2, 3, 6}

= {2, 3, 6}

Therefore, the set of the expression (A ∪ B) ∩ (B ∩ C') is {2, 3, 6}.

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"Your question is incomplete, probably the complete question/missing part is:"

Let U = {1, 2, 3, 4, 5, 6, 7, 8}, A = {6, 8, 2}, B = {3, 2, 5, 6}, and C = {5, 1, 7}. Find the following.

(A ∪ B) ∩ (B ∩ C').

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) Let's denote the number of coffees sold as 'x' and the number of cappuccinos sold as 'y'.

The equation that represents the given information is:

2.50x + 3.75y = 222.50

b) To solve the equation, we need to find the values of 'x' and 'y' that satisfy the equation.

Since we have two variables and only one equation, we cannot determine the exact values of 'x' and 'y' independently. However, we can find possible combinations that satisfy the equation.

Let's proceed by assuming values for one of the variables and solving for the other. For example, let's assume 'x' is 40 (number of coffees):

2.50(40) + 3.75y = 222.50

100 + 3.75y = 222.50

3.75y = 222.50 - 100

3.75y = 122.50

y = 122.50 / 3.75

y ≈ 32.67

In this case, assuming 40 coffees were sold, we get approximately 32.67 cappuccinos.

We can also assume different values for 'x' and solve for 'y' to find other possible combinations. However, keep in mind that the number of drinks sold should be a whole number since it cannot be fractional.

Therefore, one possible combination could be around 40 coffees and 33 cappuccinos sold.

The 85% confidence interval for the population proportion of people who are captured after appearing on the 10 Most Wanted list is (0.28, 0.38).

Let's calculate the sample proportion;

Sample proportion = 93 / 283 = 0.33

The margin of error of the data can be calculated by;

Margin of error = Z * √(p(1-p) / n)

where:

Margin of error = 1.96 * sqrt(0.33 * (1-0.33) / 283) = 0.05

The confidence interval can be calculated as

Confidence interval = 0.33 ± 0.05 = (0.28, 0.38)

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Answer:

D. 5

Step-by-step explanation:

I see you plugged in 2 for x :)

So now you have 1/2 (4) +3

Half of 4 is 2. So 2+3 = 5

Answer:

See below

Step-by-step explanation:

The temperature needs to be increased by \(10.8 ^{\circ}F\) for Mrs. Munyai to swim in the pool.

The formula to convert the temperature from Celcius to Fahrenheit is:

\(\textdegree F = (\textdegree C * 1.8) + 32\)

We need to calculate the temperature change of \(6 \textdegree C\) in Fahrenheit:

\(\Delta \textdegree C = 6\\\Delta \textdegree F = \Delta \textdegree C * 1.8 = 10.8\)

The temperature needs to be increased by \(10.8 ^{\circ}F\) for Mrs. Munyai to swim in the pool.

We can calculate the  Fahrenheit temperature of the water and the desired temperature in Fahrenheit:

\(^{\circ}C = 19\\^{\circ}F = (19 * 1.8) + 32 = 66.2\)

\(^{\circ}C = 25\\^{\circ}F = (25 * 1.8) + 32 = 77\)

The current temperature of the pool is \(66.2 ^{\circ} F\) and the desired temperature is \(77 ^{\circ} F\).

Therefore the temperature needs to be increased by:

\(\Delta ^{\circ}F = 77 - 66.2 = 10.8 ^{\circ}F\)

which is the same temperature change we calculated earlier in Fahrenheit.

Therefore, the temperature needs to be increased by \(10.8 ^{\circ}F\) for Mrs. Munyai to swim in the pool.

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Answer: it’s answer 18+18+18+18

Step-by-step explanation:it’s basically18 times 4

Answer:

4 × 18 = 72

18 + 18 + 18 + 18 = 72

72 ÷ 18 = 4

Step-by-step explanation: