Kenji and his theater group are putting on a play. They need to make $373.50 to cover the
costs of the props and costumes. If they charge $4.50 for each ticket, how many tickets do
they need to sell to cover their costs?

Answer:

To find the answer to these questions, you normaly divide the distance by the time, and then you know how long it took and multiply it by the new distance.

Step-by-step explanation:

110/10=11

to jog one mile it took her 11 minutes

Answer:

72 cm

Step-by-step explanation:

200+16=216

216/3=72 cm

The number of sharks found between 76 m depth and 100 m depth is 2.04 shark's population.

The number of sharks found at different depths is calculated as follows;

From the histogram, the population of the fish at depth between 76 m and 100 m can be read off by tracing the depth values towards the frequency axis;

at depth 76 m, the frequency = 1.5

at depth 100 m, the frequency = 0.54

Total number of fish between the depths = 1.5 + 0.54 = 2.04

Thus, this value represents the density of the sharks between 76 m and 100 m.

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A. The equation d = s * t shows relationship between the quantities.

B. They would cover a distance of 10 miles in 20 minutes.

C. Rounded to the nearest tenth, the biker would bike for 96.0 minutes.

What is distance?

Distance is the measure of the physical space between two objects or points. It is a scalar quantity that is usually measured in units such as meters, kilometers, miles, etc. In physics, distance is considered to be a fundamental concept and is often used in conjunction with time to calculate other physical quantities, such as speed and acceleration.

a. We can define the following variables:

t: time in minutes

d: distance traveled by the biker in miles

s: speed of the biker in miles per minute

Using these variables, we can write the equation d = s * t to represent the relationship between them.

b. If the biker rides for 20 minutes, we can use the equation d = s * t to find the distance traveled. Assuming the biker's speed is 0.5 miles per minute, we get:

d = 0.5 * 20 = 10 miles

Therefore, the biker would travel 10 miles in 20 minutes.

c. If the biker traveled 48 miles, we can use the equation t = d / s to find the time taken, where s is again assumed to be 0.5 miles per minute:

t = 48 / 0.5 = 96 minutes

Rounded to the nearest tenth, the biker would have ridden for 96.0 minutes to cover 48 miles.

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The values of x that satisfy the equation p(−x ≤ t22 ≤ x) = 0.98 are all values between -2.518 and 2.518, inclusive.

The expression p(- x ≤ t22 ≤ x) represents the probability of a t-distribution with 22 degrees of freedom lying between - x and x.

We want to find the values of x such that this probability is 0.98.

We can use a table of t-distribution probabilities or a calculator to find the value of t for which the probability of a t-distribution with 22 degrees of freedom lying between −t and t is 0.98.

This value is , 2.518.

Therefore, we need to solve the inequalities:

-2.518 ≤ -x ≤ 2.518

Solving for x, we get:

-2.518 ≤ -x x ≤ 2.518

Therefore, the values of x that satisfy the equation p(−x ≤ t22 ≤ x) = 0.98 are all values between -2.518 and 2.518, inclusive.

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Answer:

D

Step-by-step explanation:

the sum of the 3 angles in Δ DEF = 180° , that is

∠ D + 90° + 35° = 180°

∠ D + 125° = 180° ( subtract 125° from both sides )

∠ D = 55°

------------------------

using the tangent and cosine ratios in the right triangle

tan35° = \(\frac{opposite}{adjacent}\) = \(\frac{DE}{EF}\) = \(\frac{DE}{12}\) ( multiply both sides by 12 )

12 × tan35° = DE , then

DE ≈ 8.40 ( to 2 dec. places )

--------------------------

cos35° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{EF}{DF}\) = \(\frac{12}{DF}\) ( multiply both sides by DF )

DF × cos35° = 12 ( divide both sides by cos35° )

DF = \(\frac{12}{cos35}\) ≈ 14.65 ( to 2 dec. places )

Answer:

B

Step-by-step explanation:

Two linear lines can never intersect twice

Answer: y = 2/3 -2

Step-by-step explanation: using a graph you can plot the point (-3, 2).

After this, you can use the slope of 2/3 to graph the starting point. You go 3 to the left and 2 up going through the y axis of -2. using y = mx + b, you can plug in the slope of 2/3 and the starting point of -2.

Answer:

a) 10 per for 4 min means 150 per hour. so more hamburgers are sold per hour.

b) see attachment

Answer:

ello mate my day is great how about yours

Step-by-step explanation:

and may i ask are you british??

Answer:

Please check the explanation.

Step-by-step explanation:

A number line is a horizontal line with negative values on the left-hand side of an arbitrary number 0 and positive values on the right-hand side of 0.

The location of point A on a number line = -24

The location of point C on a number line = 36

The distance between -24 and 36 can be simply calculated by counting the number of units between.

Starting from -24, we would need to move 24 units on the right side to reach the 0 and 36 units right to reach 36.

So, the total units will be: 24+36 = 60

A second simple method to calculate the distance between point A and point C is:

Distance between A and C = location of C - location of A

                                              = 36 - (-24)

                                              = 36+24

                                              = 60 units

Thus, the distance between A and C is 60 units.

Now, point B is located halfway between point A and point C.

Thus,

i.e.

The location of point B = The location of point C - 30

                                       = 36 - 30

                                       = 6

Thus, point B is located at 6.

Verification:

The location of point B = The location of point A + 30

                                       = -24 + 30

                                       = 6

Thus, point B is located at 6.

Thus, it is verified that point B, halfway between point A and point C.

Hence,

'6' is the value of point B halfway between point A and point C.

To use the central limit theorem to find the mean and standard error of the mean of the sampling distribution, we need to know the mean (μ) and standard deviation (σ) of the population, as well as the sample size (n).

Given that the monthly rents for studio apartments in a certain city have a mean of μ and a standard deviation of σ, we can use these values to find the mean and standard error of the mean for random samples of size n.

The mean of the sampling distribution will still be μ, as the central limit theorem states that the sampling distribution of the mean will be normally distributed with a mean equal to the population mean.

The standard error of the mean (SE) is calculated by dividing the population standard deviation (σ) by the square root of the sample size (n).

So, SE = σ / √n.

In this case, you haven't provided the values for the mean and standard deviation of the population, nor the sample size. Please provide those values so I can calculate the mean and standard error of the mean for you.

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The probability of getting at least 60 heads in 100 tosses is the sum of these probabilities multiplied by the number of ways to get at least 60 heads (C(100, 60)).

To find the probability of winning at least $20 after 100 coin tosses, we can use the binomial distribution.

In this case, we want to find the probability of getting at least 10 more heads than tails, since each head gives us $2 and each tail takes away $2.

Let's break down the problem step by step:

1. Calculate the probability of getting a head (H) or a tail (T) in a single coin toss:

The probability of getting a head (H) is 1/2.

The probability of getting a tail (T) is also 1/2.

2. Determine the number of ways to get at least 20 more heads than tails in 100 tosses:

To win at least $20, we need to get 60 or more heads (since 60 heads would result in $120, which is $20 more than 40 tails).

We can use the binomial coefficient formula to calculate this. The formula is:

C(n, k) = n! / (k!(n-k)!)

In our case, n is 100 (the number of tosses) and k is 60 (the minimum number of heads we need).

Therefore, C(100, 60) = 100! / (60!(100-60)!).

3. Calculate the probability of getting at least 60 heads in 100 tosses:

The probability of getting exactly 60 heads is (1/2)^60.

The probability of getting exactly 40 tails is (1/2)^40.

The probability of getting at least 60 heads in 100 tosses is the sum of these probabilities multiplied by the number of ways to get at least 60 heads (C(100, 60)).

To find the final probability, you would need to calculate the sum of the probabilities for getting 60, 61, 62, ..., 100 heads, and add them all together.

The actual calculation for all these probabilities is quite extensive and time-consuming. It is recommended to use statistical software or calculators with binomial distribution functions to get accurate results.

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Standard form ax²+bx+c

Multiply - on both sides

Simplify

Convert

Answer:

16 problems a minute

Step-by-step explanation:

Unit rate = "the 1 value"

The "1", in this case, would be 1 minute.

So, we need to find the number of questions she is solving every minute.

To do this, either divide 40 by 2.5 (2 and 1/2), or 80 by 5                                 Dividing either will give you the number 16, and this is your answer.

The predicted weight of a lizardfish that is 12 cm long, based on the given model, is approximately 13.80 grams.

The predicted weight of a lizardfish that is 12 cm long, based on the given regression model lnW = -5.36 + 3.216lnL, is approximately 13.80 grams.

To calculate the predicted weight, we substitute the value of L = 12 cm into the regression equation. Taking the natural logarithm of both sides, we get:

lnW = -5.36 + 3.216ln(12)

Evaluating the right-hand side of the equation, we have:

lnW ≈ -5.36 + 3.216ln(12)

≈ -5.36 + 3.216(2.48491) [ln(12) ≈ 2.48491]

≈ -5.36 + 7.99604

≈ 2.63604

Taking the inverse of the natural logarithm (exponential function), we find:

W ≈ e^(2.63604)

≈ 13.80 grams

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Answer: C

Step-by-step explanation: The $25 is added on to the constant rate of $5.25. This means that it would be $5.25 + $25 > $250

Answer:

C

Step-by-step explanation:

$5.25 is affected by the number of hours she baby sits, so it needs to have an h next to it to show that, that makes B and D incorrect.

You need to add 25 to the total, not subtract it, so A is also incorrect. that leaves C

Answer:

X= -8.059

Step-by-step explanation:

Given

. −34(x+7)=36

We can open the bracket

-34x - 238=36

We can collect like terms

-33x = 36+238

-34x = 274

Divide both side by -34

X= 274/34

X= -8.059

If test the options non is equivalent to the gotten answer.

Answer:

14%

Step-by-step explanation:

Using the formula for calculating Simple interest.

Simple interest = Principal × Rate × Time/100

Given Simple interest = $16.68

Principal = loan obtained = $580

Time (in years) = (75/365) year {we will convert days to year}

Rate (in %) = ?

On substituting to get the rate

16.68 = {580×R×(75/365})/100

16.68 = 580×R×75/365×100

16.68×36,500 = 580×R×75

608,820 = 43,500R

R = 608,820/43,500

R = 13.99℅

Rate ≈ 14%

The interest rate that was charged for the loan is approximately 14%

We are 99% confident that the true average stance duration among elderly individuals lies within the range of 744.56 ms to 857.44 ms.

To test whether the true average stance duration is larger among elderly individuals than among younger individuals, we can perform a one-tailed independent samples t-test. The null hypothesis (H0)

Using the t-test, we compare the means and standard deviations of the two samples and calculate the test statistic

a) To calculate a 99% confidence interval for the true average stance duration among elderly individuals, we can use the sample mean, sample standard deviation, and the t-distribution.

Given:

Older adults: n = 28, sample mean = 801, sample standard deviation = 117

Using the formula for a confidence interval for the mean, we have:

Margin of error = t * (sample standard deviation / √n)

Since the sample size is relatively large (n > 30), we can use the z-score instead of the t-score for a 99% confidence interval. The critical z-value for a 99% confidence level is approximately 2.576.

Calculating the margin of error:

Margin of error = 2.576 * (117 / √28) ≈ 56.44

The confidence interval is then calculated as:

Confidence interval = (sample mean - margin of error, sample mean + margin of error)

Confidence interval = (801 - 56.44, 801 + 56.44) ≈ (744.56, 857.44)

b) To test whether the true average stance duration is larger among elderly individuals than among younger individuals, we can perform a one-tailed independent samples t-test.

The null hypothesis (H0): The true average stance duration among elderly individuals is equal to or less than the true average stance duration among younger individuals.

The alternative hypothesis (Ha): The true average stance duration among elderly individuals is larger than the true average stance duration among younger individuals.

. With the given data, perform the t-test and obtain the p-value.

c) To construct a 95% confidence interval for the difference in means between older and younger adults, we can use the formula for the confidence interval of the difference in means.

Given:

Older adults: n1 = 28, sample mean1 = 801, sample standard deviation1 = 117

Younger adults: n2 = 16, sample mean2 = 780, sample standard deviation2 = 72

Calculating the standard error of the difference in means:

Standard error = √((s1^2 / n1) + (s2^2 / n2))

Standard error = √((117^2 / 28) + (72^2 / 16)) ≈ 33.89

Using the t-distribution and a 95% confidence level, the critical t-value (with degrees of freedom = n1 + n2 - 2) is approximately 2.048.

Calculating the margin of error:

Margin of error = t * standard error

Margin of error = 2.048 * 33.89 ≈ 69.29

The confidence interval is then calculated as:

Confidence interval = (mean1 - mean2 - margin of error, mean1 - mean2 + margin of error)

Confidence interval = (801 - 780 - 69.29, 801 - 780 + 69.29) ≈ (-48.29, 38.29)

Comparison with part (b): In part (b), we performed a one-tailed test to determine if the true average stance duration among elderly individuals is larger than among younger individuals. In part (c), the 95% confidence interval for the difference in means (-48.29, 38.29) includes zero. This suggests that we do not have sufficient evidence to conclude that the true average stance duration is significantly larger among elderly individuals compared to younger individuals at the 95% confidence level.

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Answer:

Three decimals

Step-by-step explanation:

Two decimals coming from the first number and one coming from the second one: 4.393 is the product

Answer:

3 decimal places (the answer to the equation is 4.393)

Step-by-step explanation:

When multiplying decimals, multiply them as whole numbers, count the amount of decimal places and both, add the number of decimal places up, and that's how many decimal places are in your answer.  So the first one has two decimal places and the second one has one decimal places making your answer have three decimal places.  

The half of the mentioned number after performing multiplication with 1/2 is 0.9375.

The half of 1.875 can be calculated by multiplying with (1/2). Half refers to two parts of one thing and hence it represented as the fraction 1/2. So, to find the half, we will multiply the mentioned number with 1/2.

Half value = 1.875 × 1/2

Now performing division and multiplication on Right Hand Side of the equation

Half value = 1.875/2

Half value = 0.9375

Thus, based on the division, the half of 1.875 is 0.9375.

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Answer: 3/5 i hope this helps god bless

Step-by-step explanation:

The equation of hyperbola with given conditions is x^2/9 - y^2/25 = 1.

According to the statement

we have given that the x-intercepts = +,-3 and asymptote at y=5/3x

And we have to Find the equation of the parabola.

So, For this purpose, we know that the

The hyperbola has x-intercepts, so it has a horizontal transverse axis.

The standard form of the equation of a hyperbola with a horizontal transverse axis is;

\(\frac{(x -h)^{2}}{a^{2} } - \frac{(y-k)^{2} }{b^{2} } = 1\)

And here

The center is at (h,k).

The distance between the vertices is 2a.

Now, we find the value of a and b are;

For 'a': 2a = x₂ - x₁ = 3 - (-3) = 3 + 3 = 6

a = 6/2 = 3  and b =5.

So,

The equation of the hyperbola centered at the origin that satisfies the given conditions is;

\(\frac{(x -h)^{2}}{a^{2} } - \frac{(y-k)^{2} }{b^{2} } = 1\)

\(\frac{(x -0)^{2}}{3^{2} } - \frac{(y-0)^{2} }{5^{2} } = 1\)

\(\frac{(x)^{2}}{9 } - \frac{(y)^{2} }{25 } = 1\)

This the equation of the parabola with the given conditions.

So, The equation of hyperbola with given conditions is x^2/9 - y^2/25 = 1.

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Disclaimer: This question was incomplete. Please find the full content below.

Question:

Find the equation of the hyperbola centered at the origin that satisfies the given conditions: x-intercepts = +,-3 and asymptote at y=5/3x.

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Two steps that will complete the list correctly are:

4. The original measurement should be multiplied by the conversion factors.

5. Verify that it makes sense.

A conversion factor can be used to switch from one set of units to another by multiplying or dividing a number. When a conversion is necessary, the appropriate conversion factor to an equivalent value must be applied.

Let's use an example of converting from inches to centimeters to address this query.

10 inches should be converted to cm.

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Answer:

A.

Step-by-step explanation:

Answer:

5500

Step-by-step explanation:

5000 + (10 / 100) x 5000 = 5000 + (1/10) x 5000 = 5000 +500= 5500 people visted the book fair in the second week

a, b, and c are collinear points. b is the midpoint of ac .

The coordinate of c is 3. So, the coordinate of point c is 3.

If b is the midpoint of ac, it means that the coordinates of a, b, and c lie on the same line and b is exactly halfway between a and c.

Given that the coordinate of a is -8 and the coordinate of b is -2.5, we can determine the coordinate of c as follows:

The distance from a to b is equal to the distance from b to c. Since b is the midpoint, the distance from a to b is half of the distance from a to c. Mathematically, we can express this relationship as:

|a - b| = |b - c|

Substituting the given coordinates, we have:

|-8 - (-2.5)| = |-2.5 - c|

Simplifying further:

| -8 + 2.5 | = |-2.5 - c|

| -5.5 | = |-2.5 - c|

Since the absolute value of a number is always positive, we can drop the absolute value signs:

5.5 = 2.5 + c

Now we solve for c:

5.5 - 2.5 = c

3 = c

Therefore, the coordinate of c is 3. So, the coordinate of point c is 3.

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