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Answer:

60 miles per hour

Step-by-step explanation:

We need to simply divide the total distance he traveled by the total time it took him.

At 10:00 AM, he is 200 miles from New York.

At 12:00 PM, he is 80 miles from New York.

This means that 2 hours has elapsed and the distance he has traveled is:

200 - 80 = 120 miles

Therefore, his average speed is:

120 / 2 = 60 miles per hour

Answer:

1597

Step-by-step explanation:

160x60%=96

96x16=1536

1536x1.04=1597.44

1597

1477 fluid ounces of his weight is water.

"Weight is the product of the mass and acceleration of the given object."

" Fluid ounce is the unit to measure the volume of a liquid."

According to the question,

Average water present in male's body = 60%

Weight of a man = 160 pounds

Water in man's body = \(160\) × \(\frac{60}{100}\)

                                  = 96 pound

1 pound = 16 dry ounces

96 pound = 96 × 16

                 = 1536 dry ounces

1.04 dry ounces = 1 fluid ounce

⇒1536 dry ounces = \(\frac{1536}{1.04}\)

                              = 1476.9 fluid ounce

                              = 1477 fluid ounce

Hence, 1477 fluid ounces of his weight is water.

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The median number of free throws made is 5.5.

To find the median, we first need to arrange the number of free throws made in order from lowest to highest:

3, 4, 5, 5, 5, 6, 6, 7, 8, 9

There are 10 numbers in the list, so the median is the average of the fifth and sixth numbers.

(5 + 6) ÷ 2 = 5.5

Therefore, the median number of free throws made is 5.5.

The median is a measure of central tendency that is used to describe the middle value or values of a dataset. It is especially useful when dealing with datasets that have extreme values or outliers, which can skew the mean.

The median is found by ordering the values in the dataset from lowest to highest and then finding the middle value(s). If there are an even number of values, the median is the average of the two middle values.

In this case, there were an even number of values, so we took the average of the fifth and sixth numbers to find the median.

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The expected value of the number of people selected before and including the first time a woman has a turn is 1.6667 and the standard error is 0.7454.

It should be noted that the expected value will be:

1[p(x = 1)] + 2[p(x = 2)] + 3[p(x = 3)]

= 1(0.5) + 2(0.3333) + 3(0.1667)

= 1.6667

Var(X) = E(X²) - E(X)2

= 3.3335 & (1.6667)²

= 0.555611

The standard error will be:

= ✓0.555611

= 0.7454

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Answer:

A

Step-by-step explanation:

the card would have 150

I'm not sure what this diagram is meant to show, but if you want to solve the equation 18 - 4x = -2, then you could follow these steps.

18 - 4x = -2

18 - 4x - 18 = -2 - 18 ... subtract 18 from both sides

-4x = -20

-4x/(-4) = -20/(-4) ... divide both sides by -4

x = 5 is the solution to the equation

As a check, let's plug it in

18 - 4x = -2

18 - 4(5) = -2

18 - 20 = -2

-2 = -2 ... solution is confirmed

Answer:

4

Step-by-step explanation:

you subtract 18 from both sides which is

-4x=-16

then you divide you neg. 4 on both sides which gives you

4

One possible function to model the firework scenario is h(t) = -4.9t² + 77.8t + 0.5, derived from a parabolic path due to gravity, with a maximum height of 760.5 meters and landing 78 meters away from launch.

One possible function to model this scenario could be:

h(t) = -4.9t² + 77.8t + 0.5

where h(t) is the height (in meters) of the firework above the ground at time t seconds after it was launched.

To derive this function, we first note that the path of the firework can be modeled by a parabolic function due to gravity. The vertex of this parabola corresponds to the maximum height of the firework, which occurs at t = 77.8 / (2 * 4.9) = 7.96 seconds.

At this time, the height of the firework is h(7.96) = 760.5 meters, which we can use to solve for the coefficient of the quadratic term (-4.9) in the function h(t). We also know that the firework lands 78 meters away from where it was launched, which means that it spends a total of 15.92 seconds in the air (assuming no air resistance). We can use this fact to solve for the linear term (77.8) in the function h(t).

Finally, we add a constant term of 0.5 to adjust for the initial height of the firework above the ground at t = 0.

Note that this function assumes idealized conditions and does not take into account air resistance or other factors that may affect the flight of the firework.

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Complete question:

The fire department is setting off fireworks. They notice that the casing of the firework hits the ground 78 meters from where the firework was launched. The firework exploded at a maximum height of 760. 5 meters. Write a function to model this scenario.

Answer:

w = 0.215

Step-by-step explanation:

(8.25 + 1) / 4w = 10.75

9.25/4w = 10.75

9.25/4w(4w) = 10.75(4w)

9.25 = 43w

9.25/43 = w

w = 0.215

a. The probability that the system will operate as shown is approximately 0.6141.

b. Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.

c. The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.

a. To find the probability that the system will operate as shown, we multiply the probabilities of each component. Since the system is shown to have three components with a probability of 0.85 each, we can calculate:

Probability = 0.85 × 0.85 × 0.85

Probability ≈ 0.6141

The probability that the system will operate as shown is approximately 0.6141.

b. In this case, each system component has a backup with a probability of 0.85 and a switch that is 100% reliable. Since the backup has a probability of 0.85, and the switch is 100% reliable (probability = 1), we can calculate the probability as:

Probability = 0.85 × 0.85 × 0.85

Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.

c. In this scenario, each system component has a backup with a probability of 0.85, but the switch is 90% reliable (probability = 0.90). We can calculate the probability as:

Probability = 0.85 × 0.90 × 0.85

Probability ≈ 0.6485

The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.

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False. To make predictions of logarithmic dependent variables, they can be kept in their logarithmic form and the coefficients can be exponentiated to obtain the predicted values in the original scale.

This is commonly done in econometrics and other fields where logarithmic transformations are used to linearize relationships.

When making predictions using regression models, it is important to consider the form of the dependent variable. If the dependent variable is in logarithmic form, the relationship between the dependent and independent variables is no longer linear.

Therefore, in order to make meaningful predictions, the dependent variable needs to be transformed back to its original level form.

This is commonly done using an exponential transformation, where the natural logarithm of the dependent variable is taken, and then the exponential function is applied to convert it back to its level form. Once the dependent variable is back in its level form, predictions can be made using the regression model as usual.

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Answer:

Look below

Step-by-step explanation:

I'm going to use B as my example to explain: B (-3,4)

You are going to need to draw a coordinate plane. When drawing the X axis, you want the highest X point to be 6 due to the fact that that is your highest x value. Then you want the lowest X point to be -6. Same will apply with the Y axis.

Next you are going to put a point in the middle of the plane which is called the origin (0,0).

Going from the origin, you want to follow the x axis the get to -3 which will be going left since its negative. Then since the Y axis is vertical, you are going to go up 4 times since the 4 is positive.

Then start from the origin for the next point being C (-5,4), Remember to always start from the origin.

Therefore, the probability that a married couple watches the show is 0.28. The probability that a wife watches the show, given that her husband does, is 0.7. The probability that at least one member of a married couple will watch the show is 0.62.

(a) A married couple watches the showLet's represent the probability that a married man watches a certain television show as P(M) and the probability that a married woman watches the show as P(W). Thus,

P(M) = 0.4P(W)

= 0.5P(M|W)

= 0.7

We have to calculate the probability that a married couple watches the show. In order to do this, we have to use the formula of conditional probability.

P(M and W) = P(M) × P(W|M)P(M and W)

= P(W) × P(M|W)P(M and W)

= 0.4 × 0.7P(M and W)

= 0.28

(b) A wife watches the show, given that her husband doesLet's represent the probability that a wife watches the show, given that her husband does as P(W|M). We have to calculate this probability. Using the formula of conditional probability:

P(W|M) = P(M and W)/P(M)P(W|M)

= 0.28/0.4P(W|M)

= 0.7

(c) At least one member of a married couple will watch the showThis means we have to calculate the probability that a married man or a married woman or both watch the show.

P(M or W) = P(M) + P(W) - P(M and W)P(M or W)

= 0.4 + 0.5 - 0.28P(M or W)

= 0.62

Therefore, the probability that a married couple watches the show is 0.28. The probability that a wife watches the show, given that her husband does, is 0.7. The probability that at least one member of a married couple will watch the show is 0.62.

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The probability that fewer than 4 are independent = 0.971

Let X be a random variable representing the number of independent people out of 12 people.

Then X follows binomial distribution.

A binomial distribution considers two possibilities in 'n' trials -  success or  failure. Here the case of success is being independent and the case of failure is being either republican or democrat.

The probability distribution function of a binomial distribution is,

P(X = x) = ⁿCₓ pˣ (1-p)ⁿ⁻ˣ

Where n is the number of trials, p - the probability of success

Here, n = 12

Since 6% of voters are independent, probability of being an independent = 6/100 = 0.06

Probability that fewer than 4 are independent = P( X = 0 or 1 or 2 or 3)

                                                                             = P( X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

Now, P(X=0) = ¹²C₀ (0.06)⁰ (1-0.06)¹²⁻⁰

                      = 1 x 1 x 0.4759

                      = 0.4759

P(X = 1) = ¹²C₁ (0.06)¹ (1-0.06)¹²⁻¹

           = 12 x 0.06 x 0.94¹¹

           = 0.3645

P(X = 2) = ¹²C₂ (0.06)² (1-0.06)¹²⁻²

             = 66 x (0. 06)² x 0.94¹⁰

            = 0.128

P(X = 3) =  ¹²C₃ (0.06)³ (1-0.06)¹²⁻³

             = 22 x 0.000216 x 0.94⁹

             = 0.00272

Therefore, Probability that fewer than 4 are independent = P( X = 0) + P(X = 1) + P(X = 2) + P(X = 3) =  0.4759 + 0.3645 +  0.128 + 0.00272 = 0.971

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The tangent of angle R is given as follows:

\(\tan{R} = \frac{\sqrt{47}}{17}\)

The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the formulas presented as follows:

For the angle R, we have that:

Hence the tangent is given as follows:

\(\tan{R} = \frac{\sqrt{47}}{17}\)

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The order of operations is a set of rules that dictate the sequence in which mathematical operations should be performed in a mathematical expression. An order of operations worksheet is a practice tool for students to test their understanding of the order of operations, and helps them develop their ability to solve mathematical expressions accurately and consistently.

Order of operations ensures that mathematical expressions are solved consistently and accurately. It typically consists of a series of mathematical expressions that the student must solve, following the order of operations. The order of operations is often remembered by the acronym "PEMDAS", which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). The main purpose of an order of operations worksheet is to help students develop their understanding of the order of operations, so they can solve mathematical expressions accurately and consistently.

It's important to note that the order of operations is a fundamental concept in mathematics and is used in many other areas of mathematics, including algebra and calculus. Therefore, it's crucial that students master the order of operations early on in their mathematical studies. An order of operations worksheet can be a valuable tool for helping students do just that.

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Answer:

-153

Step-by-step explanation:

3-135-21

-132-21

-153

Answer:

I got -78

please i dont understand this

Hope that helps!! :)

Proably not though sorry

Bye bye have a great day <3

A. Greater than its adjacent interior angle. The measure of an exterior angle of a triangle is always C. greater than either remote interior angle.

An exterior angle is formed by extending one side of a triangle. In a triangle, the exterior angle is equal to the sum of the two remote interior angles (the two angles that are not adjacent to the exterior angle).

Therefore, the exterior angle will always be greater than either one of the remote interior angles.

The exterior angle theorem states that when two sides of a triangle are adjacent, the resulting exterior angle is equal to the sum of the degrees of the two interior angles of the triangle. This theorem can be used to find the measure of an unknown angle in a triangle.

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Answer:

there is no problem

Step-by-step explanation:

Answer:

kjsdhkjb

Step-by-step explanation:

Answer is a.

The value of cos (x + pi) is -✓3/2, based on the stated information and known trigonometric values.

As per the known fact, the value of x wil be 30° as it is the specific value whose cosine or cos is ✓3/2. Now, we also know that π represents 180°. Also, the formula for cos (a + b) is cos A cos B - sin A sin B.

So, cos (x + pi) will be -

cos x cos pi - sin x sin pi

Keeping the values and solving -

cos (x + pi) = cos 30 cos 180 - sin 30 sin 180

cos (x + pi) = (✓3/2 × -1) - (1/2 × 0)

cos (x + pi) = -✓3/2

Hence, the value of cos (x + pi) is -✓3/2.

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Answer:

4550m ; 4

Step-by-step explanation:

Recall

1 hectometre = 100m

1 decameter = 10m

Distance from shore to center of island = 37hm

Another 85 decameter toward stge se direction

Therefore total metres it will travel in other to get to the treasure :

37 hectometre + 85 decameter

(37 * 100)m + (85 * 10)m

3700m + 850m = 4550m

In kilometers :

1000 meters = 1 kilometers

4550 meters =

(4550 / 1000)meters

= 4.55km

Answer:

0.0043 : 0.43%

5.20 : 520%

3/8 : 37.5%

7/28 : 25%

Step-by-step explanation:

Convert each to a decimal and then multiply by 100 :)

Answer:17

Step-by-step explanation:my teacher explained how 20 is wrong

Answer:

It is 17 percent.

Step-by-step explanation:

Confirming the other answer is right and just saying it's right for other people who might not trust em. :D

The conclusion that the building managers can draw based on the given data is; D: Riding to work is more common among tech company employees than at the other modes of transportation.

The results of the survey are shown in the two-way frequency table below.

From the table we can see that;

Total Cars = 55

Total Number of Buses = 46

Total Number of Walks = 36

Total Number of Bikes = 48

Total Number of Subways = 80

Total Number of  Tech company = 98

Total Number of Law Firms = 73

Total Number of Finance Groups = 94

Option A; There are 16 people who use buses from the tech company while there are 26 people who use subway from the Law firm. Thus, the statement is false.

Option B; There are 12 people who walk to work  at the finance group while there are a total of 10 people who walk to work at the law firm. Thus the statement is false.

Option C; Percentage of walkers at law firm = 10/73 * 100% = 13.7%

Percentage of car drivers at the tech firm = 10/98 * 100% = 10.2%

Thus, the statement is false

Option D; This is true

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Answer:

It is more common to find a bus rider who works at the tech company than a person on the subway who works at the law firm.

Step-by-step explanation:

got it right on edmentum

Answer: the one in the bottom right

Step-by-step explanation: each month which is the x axis ( the bottom line) the y axis (line on the left) goes up by 5

so when the x axis is 1 the y axis should be at 5

Answer:

The number is 270

Step-by-step explanation:

Let the number be 'x'

3/5 of x = 162

\(\frac{3}{5}*x = 162\\\\x=162*\frac{5}{3}\\\\x=54 * 5\\\\x = 270\)

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{270}}}}}\)

Step-by-step explanation:

Let the number be 'x'

\( \sf{ \frac{3}{5 } \: \: of \: x \: = 162}\)

⇒\( \sf{ \frac{3x}{5} = 162}\)

Apply cross product property

⇒\( \sf{3x = 162 \times 5}\)

Multiply the numbers

⇒\( \sf{3x = 810}\)

Divide both sides of the equation by 3

⇒\( \sf{ \frac{3x}{3} = \frac{810}{3} }\)

Calculate

⇒\( \sf{x = 270}\)

Hope I helped!

Best regards!!