Sue and Cath have $20 left for a cab fare home. The cab fare is $3 per mile plus a $2 fixed charge. What is the maximum number of miles they will be able to travel in the cab?

Answer:

the answer is

235.62m^3.

A significance level of 0.10, we have enough evidence to conclude that the new copy machines have a significantly faster mean repair time compared to the older model.

To test if the new copy machines are faster to repair, we can set up the following null and alternative hypotheses:

Null Hypothesis (H₀): The mean repair time for the new copy machines is the same as the mean repair time for the older model.

Alternative Hypothesis (H₁): The mean repair time for the new copy machines is less than the mean repair time for the older model.

Let's perform a one-sample t-test to test these hypotheses. The test statistic is calculated as:

t = (sample mean - population mean) / (sample standard deviation / √(sample size))

Given:

Population mean (μ) = 93 minutes

Sample mean (\(\bar x\)) = 86.8 minutes

Sample standard deviation (s) = 14.6 minutes

Sample size (n) = 18

Significance level (α) = 0.10

Calculating the test statistic:

t = (86.8 - 93) / (14.6 / sqrt(18))

t = -6.2 / (14.6 / 4.24264)

t ≈ -2.677

The degrees of freedom for this test is n - 1 = 18 - 1 = 17.

Now, we need to determine the critical value for the t-distribution with 17 degrees of freedom and a one-tailed test at a significance level of 0.10. Consulting a t-table or using statistical software, the critical value is approximately -1.333.

Since the test statistic (t = -2.677) is less than the critical value (-1.333), we reject the null hypothesis.

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Answer:

C. 35

Step-by-step explanation:

35 x .25 = 8.75

8.75 + 1.3 = 10.05

35 x .15 = 5.25

15.3 - 15.25 = 10.05

They both have 10.05 pounds of rice after 35 scoops

The mean absolute deviation for the group of household incomes is approximately 14.8 (rounded to the nearest tenth).

To calculate the mean absolute deviation (MAD) for a group of data, we follow these steps:

Find the mean (average) of the data set.

Subtract the mean from each data point, obtaining the deviations.

Take the absolute value of each deviation.

Find the mean of the absolute deviations.

Given the household incomes for 10 different households:

38, 45, 76, 93, 50, 54, 29, 44, 62, 31

Let's calculate the MAD step by step:

Find the mean (average):

Mean = (38 + 45 + 76 + 93 + 50 + 54 + 29 + 44 + 62 + 31) / 10

Mean = 482 / 10

Mean = 48.2

Calculate the deviations:

Deviation for each data point = Data point - Mean

Deviation for 38 = 38 - 48.2 = -10.2

Deviation for 45 = 45 - 48.2 = -3.2

Deviation for 76 = 76 - 48.2 = 27.8

Deviation for 93 = 93 - 48.2 = 44.8

Deviation for 50 = 50 - 48.2 = 1.8

Deviation for 54 = 54 - 48.2 = 5.8

Deviation for 29 = 29 - 48.2 = -19.2

Deviation for 44 = 44 - 48.2 = -4.2

Deviation for 62 = 62 - 48.2 = 13.8

Deviation for 31 = 31 - 48.2 = -17.2

Take the absolute value of each deviation:

Absolute deviation for each data point = |Deviation|

Absolute deviation for -10.2 = 10.2

Absolute deviation for -3.2 = 3.2

Absolute deviation for 27.8 = 27.8

Absolute deviation for 44.8 = 44.8

Absolute deviation for 1.8 = 1.8

Absolute deviation for 5.8 = 5.8

Absolute deviation for -19.2 = 19.2

Absolute deviation for -4.2 = 4.2

Absolute deviation for 13.8 = 13.8

Absolute deviation for -17.2 = 17.2

Find the mean of the absolute deviations:

Mean Absolute Deviation (MAD) = (10.2 + 3.2 + 27.8 + 44.8 + 1.8 + 5.8 + 19.2 + 4.2 + 13.8 + 17.2) / 10

MAD = 148 / 10

MAD = 14.8

To the nearest tenth, this means that the mean absolute deviation for the group of household incomes is around 14.8.

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Answer:

2,158,621 = 2 (i think)

The probability of a z-score less than 2.357 is 0.9906.

To use the normal approximation, we need to check that the sample size is sufficiently large and that the population proportion is not too close to 0 or 1. In this case, n*p = 58.5 and n*(1-p) = 19.5, which are both greater than 10, so the normal approximation is valid.

We can find the mean and standard deviation of the sampling distribution using the formulas mu = n*p = 58.5 and sigma = sqrt(n*p*(1-p)) = 4.031.

Then we can standardize X using the formula z = (X - mu)/sigma = (68 - 58.5)/4.031 = 2.357.

Using a standard normal distribution table or calculator, we can find that the probability of a z-score less than 2.357 is 0.9906.

Therefore, P(X < 68) = P(Z < 2.357) = 0.9906.

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Answer:

-5x + 13xy -7

Step-by-step explanation:

trinomial means 3 terms

degree 2 means the highest power  of the variables when added together is 2

constant -7 means  the constant is -7

-5x + 13xy -7

3 terms

xy = degree 2

-7 is the constant

Hi, I'm cookie monster:

A trinomial is an expression with 3 terms, so we can eliminate choice C and D right away. A degree is the highest exponent in the expression and there isn't even an exponent of 2 in choice B. So, Choice A is corrrect.

Now, I better eat some more cookies before I eat my computer.

The power series representation for the function f(x) = ln(9 + x²) is:

ln(9 + x²) = ln(9) + (∑ from n=1 to ∞) (-1)ⁿ * (x² - 9)ⁿ / (n * 9ⁿ)

How can we express the function f(x) = ln(9 + x²) as a power series?

To derive the power series representation for the function f(x) = ln(9 + x²), we start with the Taylor series expansion for ln(1 + t), where t = x² - 9:

ln(1 + t) = ∑ from n=1 to ∞ (-1)ⁿ * (tⁿ / n).

We substitute t = x² - 9 into the above equation:

ln(9 + x²) = ∑ from n=1 to ∞ (-1)ⁿ * ((x² - 9)ⁿ / n).

This gives us the power series representation for f(x) = ln(9 + x²). However, it's worth noting that this power series converges only within a certain interval of x values.

The radius of convergence can be determined using techniques such as the ratio test or the interval of convergence of the original function.

Therefore, the answer is ln(9 + x²) = ln(9) + (∑ from n=1 to ∞) (-1)ⁿ * (x² - 9)ⁿ / (n * 9ⁿ), but the convergence of the power series needs to be considered based on the interval of convergence.

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The mean of this probability distribution is 1.55.

To find the mean of a probability distribution, we need to multiply each possible value by its corresponding probability, and then add up these products. So, the mean is:

mean = (0)(0.19) + (1)(0.37) + (2)(0.16) + (3)(0.26) + (4)(0.02)
    = 0 + 0.37 + 0.32 + 0.78 + 0.08
    = 1.55

Therefore, the mean of this probability distribution is 1.55.

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Geometric solids with circular cross-sections include cylinders, cones, and spheres. Geometric solids with circular cross-sections include cylinders, cones, and spheres. And Cylinders, cones, and spheres can be created by rotating a two-dimensional shape about an axis.

1. Cylinder: A cylinder is a 3-dimensional solid that has two parallel circular bases connected by a curved surface. Cylinders are commonly found in everyday objects like soda cans and water bottles.

2. Cone: A cone is a 3-dimensional solid that has a circular base and a curved surface that tapers to a point. Cones are often used in architecture, like on the top of a church steeple.

3. Sphere: A sphere is a 3-dimensional solid that has a circular shape in all directions. Spheres are found in many natural objects like planets and fruit, as well as in man-made objects like Christmas ornaments.

Geometric solids with circular cross-sections are used in various fields, including architecture, engineering, and science. They are used for creating objects such as cans, pipes, towers, and buildings. These shapes are also used for modeling the natural world, such as the earth, planets, and the stars.

Cylinders, cones, and spheres can be created by rotating a two-dimensional shape about an axis. For instance, a circle that is rotated around its center axis forms a cylinder. Similarly, a triangle that is rotated around one of its sides forms a cone, while a circle that is rotated around its center axis forms a sphere.

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Answer:

quantity supplied

Step-by-step explanation:

Step-by-step explanation:

When multiplying 2 numbers with the same base number, we can directly add their indices.

For example, 2¹ * 2³ = 2^(1 + 3) = 2⁴.

Therefore 7³ * 7^? = 7^(3 + ?) = 7¹⁴.

=> 3 + ? = 14, ? = 11.

The blank should be filled with 11.

Answer:

  third choice of those listed here

Step-by-step explanation:

Match the given statement to the pattern:

  if H, then C.

__

  If you take a class in television broadcasting, then you will film a sporting event

You should be able to see ...

  H: you take a class in television broadcasting

  C: you will film a sporting event

Answer:

-77

Step-by-step explanation:

-77 + -23 = -100

Answer:

60

Step-by-step explanation:

90÷2=45

45+75+m=180(sum of triangle)

120+m =180

m=180-120

m=60

Answer:

D.

Step-by-step explanation:

hope it's helppp

hopefully you

The experiment involves a 200 g air-track glider attached to a spring, which is pushed in 9.20 cm and released. The glider undergoes oscillations, and a student measures that 11.0 oscillations take 13.0 s.

Using this data, the period, frequency, and spring constant of the oscillation can be calculated.

The period of the oscillation is the time it takes for one complete oscillation. It can be calculated by dividing the total time by the number of oscillations. In this case, the period is 1.18 s. The frequency of the oscillation is the number of oscillations per unit time, and can be calculated by taking the reciprocal of the period. The frequency is 0.85 Hz.

The spring constant can be calculated using the equation for the period of a mass-spring system: T = 2π√(m/k), where T is the period, m is the mass of the glider, and k is the spring constant. Rearranging this equation, we get k = (4π^2m)/T^2. Substituting the values for m and T, we can find the spring constant to be 4.36 N/m.

The experiment demonstrates the principles of simpe harmonic motion, which is the motion of an object back and forth around its equilibriulm position under the influence of a restoring force, such as the force exerted by a spring. The period and frequency of the oscillation depend on the mass of the object and the spring constant. The larger the mass or the smaller the spring constant, the longer the period and the lower the frequency. Conversely, the smaller the mass or the larger the spring constant, the shorter the period and the higher the frequency. The experiment also shows the importance of measuring and analyzing data accurately in order to make valid conclusions about physical phenomena.

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Answer:

the answer is D

can you also please mark me as brainliest?

The characteristics of the samples of part of the population that scientists use during scientific research must be unbiased

Sampling is a process of selecting some part of whole to carry out research on.

During a scientific research, the scientist which is the researcher is not expected to be bias while choosing the part he will carry out the research on.

Biased sampling will lead to unfair results which is not wanted in a scientific research

Responses should actually be large enough to make impact. hence sample must not be sample

depending on the purpose of research sampling may be random

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Point estimate of the difference in the population mean exercised between underclassmen and upperclassmen is 0.16 hours.

To calculate point estimate of the difference in the population mean exercised between underclassmen and upperclassmen we use the difference between the sample means:

point estimate = x1 - x2

where x1 is the sample mean for the upperclassmen and x2 is the sample mean for the underclassmen.

Substituting the given values, we get:

point estimate = 0.76 - 0.60

point estimate = 0.16

Therefore, the point estimate of the difference in the population mean exercised between underclassmen and upperclassmen is 0.16 hours.

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Answer:

16/20

Step-by-step explanation:

4:5

Multiply each side by 4

4*4: 5*4

16:20

16/20

Answer:

The answer is C. 16/20.

Step by step explanation:

This is because if you were to multiply 4 and 5 by 4, you would get 16/20. That means that both ratios are the same. Hope this helps! :)

Answer:

t = (q - r) / rs

Step-by-step explanation:

Right now you have q=rst+r so if you want to find t you must move the variables around. Like this:

q=rst+r (or r+rst)

so so get rid of the r first

like this: (q-r)=rst

divide by rs to find t

so t=(q-r)/rs

Answer:

B. 279

Step-by-step explanation:

The probability that he selects at least 4 green peppers is 0.0024

A cook has 10 red peppers and 5 green peppers

If the cook selects 6 peppers at random, what is the probability that he selects at least 4 green peppers

Event of getting green peppers be X

We need to find the probability that he selects at least 4 green peppers. This can be when the cook selects either 4 green peppers or 5 green peppers.

This can be found by binomial probabilty distribution.

P(X ≥ 4) = P(X = 4) + P(X = 5)

6C4(5/15)⁴(10/15)¹¹ + 6C5(5/15)⁵(10/15)¹⁰

15 x (1/3) ⁴ x (2/3) ¹¹ + 6 (1/3⁵) (2/3)¹⁰

= 0.002 + 0.0004

= 0.0024

Therefore, the probability that the cook selects at least 4 green peppers out 6 peppers he picked from 10 pred peppers and 5 green peppers is is 0.0024

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Answer:  \(\frac{-3\sqrt{13}+4\sqrt{3}}{20}\)

This is the single fraction of -3*sqrt(13)+4*sqrt(3) up top all over 20.

sqrt = square root

=======================================================

Explanation:

Angle theta is between pi and 3pi/2. This places the angle in quadrant Q3 where both cosine and sine are negative

Use the pythagorean trig identity to get the following:

\(\sin^2 \theta + \cos^2 \theta = 1\\\\\sin^2 \theta + \left(-\frac{\sqrt{3}}{4}\right)^2 = 1\\\\\sin^2 \theta + \frac{3}{16} = 1\\\\\sin^2 \theta = 1 - \frac{3}{16}\\\\\sin^2 \theta = \frac{16}{16} - \frac{3}{16}\\\\\sin^2 \theta = \frac{16-3}{16}\\\\\sin^2 \theta = \frac{13}{16}\\\\\sin \theta = -\sqrt{\frac{13}{16}} \ \text{ ... sine is negative in Q3}\\\\\sin \theta = -\frac{\sqrt{13}}{\sqrt{16}}\\\\\sin \theta = -\frac{\sqrt{13}}{4}\\\\\)

Angle beta is in Q1 where sine and cosine are positive.

Draw a right triangle with legs 3 and 4. The hypotenuse is 5 through the pythagorean theorem. In other words, we have a 3-4-5 right triangle.

Since \(\tan \beta = \frac{3}{4}\), this means \(\sin \beta = \frac{3}{5} \ \text{ and } \ \cos \beta = \frac{4}{5}\)

Use these ideas:

In this case we have: opposite = 3, adjacent = 4, hypotenuse = 5.

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

To recap:

\(\cos \theta = -\frac{\sqrt{3}}{4}\\\\\sin \theta = -\frac{\sqrt{13}}{4}\\\\\cos \beta = \frac{3}{5}\\\\\sin \beta = \frac{4}{5}\\\\\)

They lead to this

\(\sin\left(\theta + \beta\right) = \sin \theta * \cos \beta - \cos \theta * \sin \beta\\\\\sin\left(\theta + \beta\right) = -\frac{\sqrt{13}}{4} * \frac{3}{5} - \left(-\frac{\sqrt{3}}{4}\right) * \frac{4}{5}\\\\\sin\left(\theta + \beta\right) = -\frac{3\sqrt{13}}{20}+\frac{4\sqrt{3}}{20}\\\\\sin\left(\theta + \beta\right) = \frac{-3\sqrt{13}+4\sqrt{3}}{20}\\\\\)

Answer: To find x, we can use the formula for the volume of a rectangular prism: V = lwh, where l is the length, w is the width, and h is the height.

Substituting the given dimensions, we have:

V = (x + 6)(x - 1)(x - 2) = 60

Expanding the product on the left side, we get:

V = (x^2 + 4x - 12)(x - 2) = 60

Multiplying out the right side, we get:

V = x^3 - 2x^2 + 4x^2 - 8x - 60 = x^3 + 2x^2 - 8x - 60

Combining like terms, we have:

x^3 + 2x^2 - 8x - 60 - 60 = 0

Simplifying, we get:

x^3 + 2x^2 - 8x - 120 = 0

Now we can use various methods to solve for x. One possible method is to use synthetic division with the possible rational roots of ±1, ±2, ±3, ±4, ±5, ±6, ±8, ±10, ±12, ±15, ±20, ±30, ±40, and ±60 (which are factors of the constant term 120) to narrow down the possibilities. Trying x = 2 as a root (since it is a factor of the constant term and also one of the dimensions of the prism), we get:

2 | 1 2 -8 -120

| 2 8 20

|--------------

| 1 4 0 -100

This means that x^3 + 2x^2 - 8x - 120 = (x - 2)(x^2 + 4x - 100), so the remaining quadratic factor can be factored as:

x^2 + 4x - 100 = 0

Using the quadratic formula, we get:

x = (-4 ± sqrt(4^2 - 4(1)(-100))) / (2(1))

x = (-4 ± sqrt(416)) / 2

x = (-4 ± 8sqrt(13)) / 2

x = -2 ± 4sqrt(13)

Since x represents a length, we discard the negative solution and conclude that:

x = -2 + 4sqrt(13)

Step-by-step explanation:

The correct option d. when the standard deviation is much less than 10.

When a value is 10 points beyond the norm, it is said to be an extreme value or an outlier.

When a point deviates significantly from the mean in comparison to other points, it is referred to as an outlier. Z-scores can be used to establish this. Remember the z-score formula:

z = (x - μ) / σ

The outlier should have a very big magnitude z-score. We are aware that the score in this issue is 10 points just below mean, we can say:

A lesser value of would raise the magnitude of a z-score, increasing it to the maximum extent achievable.

Therefore, this point would be an outlier whether its standard deviation was drastically lower than 10.

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Answer:

p = 14

Equation:

\(156=12x+6p\)

Step-by-step explanation:

Set up the equation:

Let x = # of friends that went to the movies

Let p = cost of 1 popcorn

\(156=12(6)+6p\)

\(156=72+6p\\84=6p\)

Divide both sides by 6

\(p=14\)

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