A gym has yoga classes each class has 14 students if there are c classes write an equation to represent the total number of students s taking yoga

Answers

Answer 1

Answer:

Answer:

14 times c = s

Step-by-step explanation:

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What is m in this question
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It is known that the variance of a population equals 1,936. A random sample of 121 has been taken from the population. There is a .95 probability that the sample mean will provide a margin of error of a. 7.84 b. 31.36 c. 344.96 d. 1,936

I=$720, P=$1000, r=9%
Find the amount of the time.

Answers

Answer:

The amount of time is 8 years

Step-by-step explanation:

Simple interest refers to the interest produced by initial capital over a period of time. This does not accumulate to the capital to produce the interests of the following period, so the interest generated or paid in all periods is the same, while the interest rate and term dont vary.

The amount of interest paid or charged depends on three important amounts: Capital, rate and time. This is expressed by the following equation:

I = P * r * t

Where:

I = interest.
P = initial capital.
r = interest rate in decimals (it is usually a given data in percentage, which you must divide by 100 to get the value in decimals).
t = time in years.

In this case I has a value of $ 720, P has a value of $ 1000 and r of 9%, which making the conversion to decimal is 0.09

Replacing in the equation you get:

720=1000*0.09*t

Multiplying 1000 * 0.09 you get:

720=90*t

Dividing both sides by 90, in order to isolate t, you get:

$(720)/(90) =(90)/(90) *t$

8=t

Remembering that the value of t is expressed in years, this means that the amount of time is 8 years.

I = PRT....looking for T...re-arrange......I / PR = T

I / PR = T
I = 720
P = 1000
R = 9% = 0.09
now we sub
720 / (1000)(0.09) = T
720 / 90 = T
8 = T <===

Find the quotient and remainder using long division.x + x - 13
x - 2
The quotient is
The remainder is

Answers

Answer:

$\text{The quotient is}~ x^2 +2x +5 \n\n\text{The remainder is}~ -3$

Step-by-step explanation:

What is the equation of the line passing through the points (2, -1) and (5.-10) in slope-intercept formO y=-3x-5
O y=-3x+5
Oy - 3x-5
O y=3x+5

Answers

Final answer:

The slope of the line through points (2, -1) and (5,-10) is -3. With y-intercept +5, the line's equation in slope-intercept form is y = -3x + 5.

Explanation:

The subject of your question is in the field of Mathematics, specifically algebra.

You are looking for the equation of the line in slope-intercept form, which is y = mx + b where m is the slope and b is the y -intercept. We first calculate the slope using the formula (y2 - y1) / (x2 - x1). Plugging in the values we get, m = (-10 - (-1)) / (5 - 2) = -9 / 3 = -3. Thus, m = -3. Then, to find the y-intercept, we use the point-slope form of a line equation y - y1 = m(x - x1), and plug in one of the points (2, -1) and the slope value, and then solve for b. The equation in slope-intercept form will be y = -3x + 5.

So the answer to your question is y = -3x + 5.

Learn more about Equation of a line here:

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Answer:

y = -3x + 5

Step-by-step explanation:

Usually by drawing a simple graph, you can tell what the equation is, even if the graph isn't 100% accurate. From the points alone, you can tell that the slope is negative, since as you increase in x you decrease in y (which is a negative relationship). You can tell that it's +5 rather than -5 because the graph sketched shows that the line goes above 0 (indicating a positive number), rather than below (a negative number).

Television viewing reached a new high when the global information and measurement company reported a mean daily viewing time of hours per household. Use a normal probability distribution with a standard deviation of hours to answer the following questions about daily television viewing per household. a. What is the probability that a household views television between 3 and 9 hours a day (to 4 decimals)? b. How many hours of television viewing must a household have in order to be in the 2%top of all television viewing households (to 2 decimals)? hours c. What is the probability that a household views television more than hours a day (to 4 decimals)?

Answers

Answer:

(a) The probability that a household views television between 3 and 9 hours a day is 0.5864.

(b) The viewing hours in the top 2% is 13.49 hours.

Step-by-step explanation:

Let X = daily viewing time of of television hours per household.

The mean daily viewing time is, μ = 8.35 hours.

The standard deviation of daily viewing time is, σ = 2.5 hours.

The random variable X is Normally distributed.

To compute the probability of a Normal random variable, first we need to compute the raw scores (X) to z-scores (Z).

$z=(x-\mu)/(\sigma)$

(a)

Compute the probability that a household views television between 3 and 9 hours a day as follows:

$P(3<X<9)=P((3-8.35)/(2.5)<(X-\mu)/(\sigma)<(9-8.35)/(2.5))$

$=P(-2.14<Z<0.26)\n=P(Z<0.26)-P(Z<-2.14)\n=0.60257-0.01618\n=0.58639\n\approx0.5864$

Thus, the probability that a household views television between 3 and 9 hours a day is 0.5864.

(b)

Let the viewing hours in the top 2% be denoted by x.

Then,

P (X > x) = 0.02

⇒ P (X < x) = 1 - 0.02

P (X < x) = 0.98

⇒ P (Z < z) = 0.98

The value of z for the above probability is:

z = 2.054

*Use a z-table for the value.

Compute the value of x as follows:

$z=(x-\mu)/(\sigma)\n2.054=(x-8.35)/(2.5)\nx=8.35+(2.054* 2.5)\nx=13.485\nx\approx13.49$

Thus, the viewing hours in the top 2% is 13.49 hours.

(c)

Compute the probability that a household views television more than 5 hours a day as follows:

$P(X>5)=P((X-\mu)/(\sigma)>(5-8.35)/(2.5))$

$=P(Z>-1.34)\n=P(Z<1.34)\n=0.90988\n\approx0.9099$

Thus, the probability that a household views television more than 5 hours a day is 0.9099.

A kite flier wondered how high her kite was flying. She used a protractor to measure an angle of 33° from level ground to the kite string. If she used a full 90 yard spool of string, how high, in feet, was the kite? Round your answer to 3 decimal places. (Disregard the string sag and the height of the string reel above the ground.)

Answers

Answer: height of kite is 147.042 feets

Step-by-step explanation:

The diagram of the kite is shown in the attached photo

Triangle ABC is formed and it is a right angle triangle.

The kite string made an angle of 33 degrees with the ground. The string used was 90 yards We will convert the 90 yards to feets.

I yard = 3 feets

90 yards would become

90×3 = 270 feets

This 270 feets form the hypotenuse of the triangle.

To determine the height of the kite h, we will use trigonometric ratio

Sin# = opposite / hypotenuse

Where

# = 33 degrees

Hypotenuse = 270 feets

Opposite = h feets

Sin 33 = h/270

h = 270sin33

h = 270 × 0.5446 = 147.042 feets

Suppose a movie starts at 5:00 p.m. and Lindsay, a customer who is always late, arrives at the movie theater at a random time between 5:10 p.m. and 5:45 p.m. Lindsay's late arrival time, in minutes, represented by ???? , models a uniform distribution between 10 and 45 min. Determine the height of the uniform density curve. Provide your answer with precision to three decimal places.

Answers

Answer: The height of uniform density curve is 0.028.

Step-by-step explanation:

Since we have given that

Uniform distribution between 10 and 45 minutes.

Here,

a = 10 minutes

b = 45 minutes

We need to find the height of the uniform density curve.

So, $f(X=x)=(1)/(b-a)=(1)/(45-10)=(1)/(35)=0.028$

So, the height of uniform density curve is 0.028.

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A sample survey contacted an SRS of 2854 registered voters shortly before the 2012 presidential election and asked respondents whom they planned to vote for. Election results show that 51% of registered voters voted for Barack Obama. We will see later that in this situation the proportion of the sample who planned to vote for Barack Obama (call this proportion V) has approximately the Normal distribution with mean μ 0.52 and standard deviation σ = 0.009. (a) If the respondents answer truthfully, what is P (0.5くV < 0.54)? This is the probability that the sample proportion v estimates the population proportion 0.52 within plus or minus 0.02. P (0.5<= V <=0.54) (±0.0001)= (b) In fact, 50% of the respondents said they planned to vote for Barack Obama V = 0.5. If respondents answer truthfully, What is P(V <=0.5)? P (V <=0.5) (±0.0001) =

Josie bought 750 bags of peanuts for $375 he intends to sell each bag for $.15 more than you paid how much should he charge for each bag

Solve the quadratic equation by factoring. x^2 - 4x - 12 = 0

What is the product of the expressions? Assume y does not equal 0.