a diver jump off a pier at angle of 25 with an initial velocity of 3.2m/s. haw far from the pier will the diver hit the water?

Answer:

To solve real world problems, we can use the relationship between the quantities and form equations which represent the situation given in the problem. Then, we can use these equations to solve the problems.

Step-by-step explanation:

If a t-distribution with 20 degrees of freedom is used to test a hypothesis with a Type I error value of 5%, then the critical t-value corresponding to the given significance level is 1.725.

The critical t-value is the value beyond which we reject the null hypothesis in a t-test. The value is determined by the significance level (Type I error) and the degrees of freedom.

In this case, with a significance level of 5% and 20 degrees of freedom, the critical t-value is 1.735. This means that if the calculated t-value for a sample falls beyond 1.735, we reject the null hypothesis at the 5% level of significance.

To learn more  about distribution, refer below:

https://brainly.com/question/31197941

#SPJ11

Given that a coin is biased such that a head is twice as likely to occur as a tail, the probability of getting a head is 2/3 and the probability of getting a tail is 1/3.

The expected number of tails when this coin is tossed twice can be calculated using the formula:
E(X) = ∑xp(x)
Where E(X) is the expected value, x is the number of tails, and p(x) is the probability of getting x tails.
There are three possible outcomes when the coin is tossed twice:
1) Two tails: The probability of this happening is (1/3) * (1/3) = 1/9

2) One tail and one head: The probability of this happening is 2 * (1/3) * (2/3) = 4/9
3) No tails (two heads): The probability of this happening is (2/3) * (2/3) = 4/9

So the expected number of tails is:
E(X) = (2 * 1/9) + (1 * 4/9) + (0 * 4/9) = 2/9 + 4/9 = 6/9 = 2/3
Therefore, the expected number of tails when this coin is tossed twice is 2/3.

You can read more about probability at https://brainly.com/question/24756209

#SPJ11

The equation x² y² = 4 corresponds to a hyperbola when only considering x and y as variables. When considering x, y, and z as variables, the equation corresponds to a two-sheeted hyperboloid.

a) When only x and y are the variables being considered, the equation x² y² = 4 corresponds to a circle in the xy-plane. The circle has a center at the origin (0,0) and a radius of 2.

b) If x, y, and z are the only variables being considered, the equation x² y² = 4 still represents a circle in the xy-plane, but it becomes a cylinder along the z-axis. This cylinder has a center on the z-axis and a radius of 2, extending infinitely along the z-axis.

To know more about hyperbola visit:

https://brainly.com/question/27799190

#SPJ11

Distributive property is the term for breaking a larger number apart into smaller numbers that can be multiplied together to get a specific result.

Firstly, to distribute means to divide something or give a share or part of something.

Distributive property explains that multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Therefore, distributive property is the term for breaking a larger number apart into smaller numbers that can be multiplied together to get a specific result.

Learn more about distributive property at: https://brainly.com/question/5637942

#SPJ1

Measurement of 5 quarts is equal to 20 cups.

Measurement is the method of comparing the properties of a quantity or object using a standard quantity.

Measurement is essential to determine the quantity of any object.

We have the measurement, 1 cup = 1/4 quarts

Let x be the number of quarts for 20 cups.

By using proportion,

1 / (1/4) = 20 / x

Cross multiplying,

x = 20 × (1/4)

x = 5

Hence the measurement of 20 cups is equal to 5 quarts.

Learn more about Measurement here :

https://brainly.com/question/14026238

#SPJ5

Thee measurement equals to 20 cups is 5 quarts.

Thus, option (a) is correct.

To determine which measurement is equal to 20 cups, compare the conversion factors between cups and each of the given measurements.

As, the conversion factors are:

1. 5 quarts

= 5 x  4 cups/quart

= 20 cups

2. 40 pints

= 40 x  2 cups/pint

= 80 cups

3. 1 gallon

= 1 x  16 cups/gallon

= 16 cups

4. 320 fluid ounces

= 320 x  0.125 cups/fluid ounce

= 40 cups

Learn more about Unit Conversion here:

https://brainly.com/question/28600662

#SPJ6

Shoreline Park in Mountain View, California, has diligently maintained records of the number of visitors to the park ever since its establishment.

Shoreline Park, located in Mountain View, California, has implemented a comprehensive system to monitor and track the number of patrons visiting the park since it first opened. This proactive approach allows park management to gather data on the park's popularity and usage patterns, enabling them to make informed decisions regarding park maintenance, amenities, and future development plans. By closely monitoring the number of visitors, Shoreline Park can ensure that it meets the needs of the community and maintains a pleasant environment for everyone to enjoy.

Maintaining records of the number of patrons using the park serves multiple purposes. Firstly, it helps in understanding the park's peak times and off-peak periods, enabling park officials to allocate resources effectively and plan events or activities accordingly. It also aids in assessing the park's capacity and evaluating any potential overcrowding issues that may arise during busy periods. Additionally, tracking visitor numbers can assist in evaluating the success of marketing and promotional efforts aimed at attracting more people to the park. Overall, by keeping close tabs on the number of patrons using Shoreline Park, the park management can ensure that it remains a popular and well-utilized recreational space for the community while addressing any concerns or challenges that may arise.

Learn more about data here:

https://brainly.com/question/29117029

#SPJ11

Given:

The graph of an inequality.

To find:

The inequality.

Solution:

From the given graph it is clear that the boundary line passes through the points (0,2) and (2,3). So, the equation of the boundary line is

\(y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\)

\(y-2=\dfrac{3-2}{2-0}(x-0)\)

\(y-2=\dfrac{1}{2}(x)\)

\(y=\dfrac{1}{2}x+2\)

The boundary line is a solid line and the shaded region lies below the boundary line. So, the sign of inequality must be ≤.

\(y\leq \dfrac{1}{2}x+2\)

Therefore, the required inequality is \(y\leq \dfrac{1}{2}x+2\).

Answer:

110000=p(1+0.019)^168

23.62p=110000

p=4660

credit: sqdancefan

Answer:

84330

Step-by-step explanation:

The compound interest formula gives the value of an investment.

 A = P(1 +r/n)^(nt)

where principal P is invested at annual rate r compounded n times per year for t years. Using your given values, we can solve for P.

 110,000 = P(1 +0.019/12)^(12·14)

 P = 110,000/(1 +0.019/12)^(12·14) ≈ 110,000/1.00158333...^168

 P ≈ 110,000/1.30446

 P ≈ 84326.04 ≈ 84,330 . . . . dollars

Answer:

B: 12>-4+2p

Step-by-step explanation:

A 12>4+2(7)

 12>4+14

 12>18

not true

B: 12>-4+2(7)

  12>-4+14

  12>10

 true

C -12>4-2(7)

-12>4-14

-12>-10

not true

D: -12>4+2(7)

-12>4+14

-12>18

not true

so b is the only correct answer

hopes this helps please mark brainliest

Answer:

6

Step-by-step explanation:

Answer:

the sum of the values should be -14

Step-by-step explanation:

-12+3-5=-14

Step-by-step explanation:

There are many different ways to simplify this. It could be

3(w-2)+4u , 2(2u-3)+3w , or something else.

The probability that the sample mean height will be less than 69 inches is 0.966 or 96.6%.

The normal distribution, like any other probability distribution, defines how well the values of a statistic are distributed. Because it accurately captures the range of values for many natural occurrences, it is the most significant probability distribution in statistics.

The formula for normal distribution is;

\(Z=\frac{\bar{X}-\mu}{\left(\frac{\sigma}{\sqrt{n}}\right)}\)

Where, X is the sample average( = 69).

μ is the mean (= 70).

σ is the standard distribution ( = 4)

n is the sample size (= 54).

Substituting above values in the formula;

\(z=\frac{69-70}{\left(\frac{4}{\sqrt{54}}\right)}\)

z = -1.83

So the likelihood that it sample mean is less than 69 would be the probability of Z will be greater than -1.83 This is determined using the Z-table:

P( < 69) = P(Z < -1.83) = 0.966

Therefore, the probability for getting the sample mean height will be less than 69 inches is 0.966 or 96%.

To know more about the normal distribution, here

https://brainly.com/question/6476990

#SPJ4

Answer:

9

Step-by-step explanation:

the slope of this equation is 9. he ears $200 say for a bonus or something. but his hourly rate is 9, if he works 10 hours, he ears $90 plus that 200

This situation is represented by the following disjoint inequality:

\(m > -\frac{23}{3} \cup m \leq -10\)

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

\(x > a \cup x \leq b\)

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

\(m > -\frac{23}{3} \cup m \leq -10\)

A similar problem is given at https://brainly.com/question/24528399

Answer:

63

Step-by-step explanation:

Ty worked 4 hours ad earned $28. This means that he earned $7 per hour. So, 7 times 9 is equal to 63. Which means that Ty will earns $63 in 9 hours.

Answer:

Slope: 2

y = 2x + 50

Step-by-Step Solution:

Slope: rise/run = 40/20 = 4/2 = 2

y = mx + b

m= slope = 2

b= y-intercept = 50

y = 2x + 50

Answer:

I would say yes they are

Step-by-step explanation:

because you multiply the small one's numbers by 2 and get the big triangle

Answer:

they are similar! :)

Step-by-step explanation:

the best way to figure this out is just by looking to see if they have anything in common. in this case, the larger figure is just two times more on each side than the smaller figure.

The linear inequality y</5/2 x - 7 does not have any common solution set with the given inequality.

The solution sets of the linear inequality  are drawn in the graph attached below,

From the graph it is seen that the yellow part represents the inequality y≥-5/2 x - 3

And the green section of the graph represents the other inequality

y<-5/2 x - 7

As we can see in the graph that the two areas are separate. So there are no common points.

Again if we consider the two inequalities as two lines  y= -5/2 x - 3

and y = -5/2 x - 7 . we can see that they both have the same slopes of  -5/2 so they are parallel lines. so they will never intersect.

Therefore we can conclude that the inequality  y</5/2 x - 7 does not have any common solution set with the given inequality.

To learn more about inequality visit:

https://brainly.com/question/20383699

#SPJ9

this page might help you out

https://www.purplemath.com/modules/percntof2.htm

Answer:

11

Step-by-step explanation:

add up the exponents

3+1+1+4+2=11

varsitytutorscom

The lower and upper limits of the confidence interval can be determined using the sample mean and sample standard deviation.

Given the sample readings of total calcium levels in mg/dl, we can calculate the sample mean (x) and sample standard deviation (s). Using these values, we can determine the lower and upper limits of the 99.9% confidence interval.

Calculating the sample mean:

x = (9.9 + 8.6 + 10.9 + 8.5 + 9.4 + 9.8 + 10.0 + 9.9 + 11.2 + 12.1) / 10 = 10.03 mg/dl

Calculating the sample standard deviation:

s = sqrt(((9.9 - 10.03)^2 + (8.6 - 10.03)^2 + ... + (12.1 - 10.03)^2) / (10 - 1)) = 1.16 mg/dl

To determine the 99.9%   confidence interval, we need to find the critical value corresponding to this level of confidence. Since the sample size is small (less than 30) and the population standard deviation is unknown, we can use the t-distribution. With a sample size of 10 and a desired confidence level of 99.9%, the critical value is approximately 3.250.

Calculating the margin of error:

Margin of error = critical value * (s / sqrt(n))

= 3.250 * (1.16 / sqrt(10))

≈ 1.19

The lower limit of the confidence interval is given by x - margin of error:

Lower limit = 10.03 - 1.19 ≈ 8.84 mg/dl

The upper limit of the confidence interval is given by x + margin of error:

Upper limit = 10.03 + 1.19 ≈ 11.22 mg/dl

Therefore, the 99.9% confidence interval for the population mean of total calcium in this patient's blood is approximately 8.84 mg/dl to 11.22 mg/dl.

Learn more about distribution here : brainly.com/question/29664127

#SPJ11

Answer:

the answer is b

Step-by-step explanation:

i took the test