The joint F.D.P of a bivariate VA (X, Y) is given

per:

a) Find the value of K.
b) Find the marginal F.D.Ps of X and Y
c) X and Y are independent?

Answer:

c. PROPOSITION ONE is false and PROPOSITION TWO is true

Step-by-step explanation:

In this question, we have that:

pvalue of 0.058

Significance level of 0.05

The pvalue is larger than the significance level, which means that there is no statistically significant association(Propostion One is false), and the null hypothesis is not rejected, that is, it is proved, so Proposition Two is true.

This means that the correct answer is given by option C.

Answer:

volume= 186ft

Step-by-step explanation:

Solution :

Class           Frequency  Class boundaries     Mid        Relative       Cumulative

                                                                         point      frequency    frequency

1132-1191          5              1131.5-1191.5           1161.5       0.2381          5

1192-1251         3               1191.5-1251.5          1221.5      0.1428          8

1252-1311         2               1251.5-1311.5          1281.5      0.0952         10

1312-1371         5               1311.5-1371.5          1341.5       0.2381          15

1371-1431         4                1371.5-1431.5         1401.5      0.1905           19

1432-1491        2               1431.5-1491.5          1416.5      0.0952         21

Total               21

Therefore, the lower class boundary for the sixth class is 1431.5

Answer:

21

Step-by-step explanation:

1132-1191          5              1131.5-1191.5           1161.5       0.2381          5

1192-1251         3               1191.5-1251.5          1221.5      0.1428          8

1252-1311         2               1251.5-1311.5          1281.5      0.0952         10

1312-1371         5               1311.5-1371.5          1341.5       0.2381          15

1371-1431         4                1371.5-1431.5         1401.5      0.1905           19

1432-1491        2               1431.5-1491.5          1416.5      0.0952         21

please say i'm right

Answer:

You would have spent $4.50

Step-by-step explanation: Divide 100 by 30 and multiply to 15. So it will look like: 30/100*15= $4.50. I hope this helps

Answer:

The answer is 16% I just took the test

Step-by-step explanation:

Option C is correct. The law of cosines must be used to solve a triangle in the case of SAS rule (Side Angle Side Rule)

For a triangle, ABC with sides a, b, and c respectively, the law of cosines is used on such a triangle if there is a presence of an angle between any two sides.

[tex]c^2 = a^2 + b^2 + 2ab cos C[/tex]

Hence the law of cosines must be used to solve a triangle in the case of SAS rule (Side Angle Side Rule)

Learn more here: https://brainly.com/question/20880990

Answer:

Arithmetic

Step-by-step explanation:

Arithmetic is additive and geometric is multiplicative, and the numbers aren''t multiplying, they're adding.

Answer:

The integers are 7 and 3

Step-by-step explanation:

if you put x as smaller number and y as bigger number you can write two equations:

x+y^2=52 and y-4=x

In the first polynomial, y can either equal 7 or -8, but the number has to be positive, so it's 7

y-4 to get x, plug 7 in and you get x=3

y=7 and x=3

Answer:

7 and 3

Step-by-step explanation:

We will let x equal the larger one

y will be the smaller one

We can write the two equations

x-y=4

y+x²=52

We will solve this through substitution

we will take the first equation and add y to moth sides

x=4+y

we then substitute this into our second equation

y+(4+y)²=52

distribute the square

y+8y+y²+16=52

y²+9y-36=0

Factor this

(y-3)(y+12)=0

Which means that y is either 3 or -12 but because it said that both numbers are positive we can reject the negative 12 (which means that y is 3)

Plug in y=3 into our first equation

x-3=4

x=7

Answer:

i can only say that you should use this forumla, the sins law

sin(a)/A = sin(b)/B = sin(c)/C

Step-by-step explanation:

Answer:

122

Step-by-step explanation:

61 x 2 = 122 hope this helps:)

Answer:I’m not sure but I thinks it’s b might be wrong

Step-by-step explanation:

Answer:

from 10 - 15 bikes

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

Answer:

27

But tell me the exact question it has on there

Step-by-step explanation:

Answer:98

Step-by-step explanation:

because it is a rectangle at a slight angle so base * height

Brainlest plz

Answer:

0.5188 = 51.88% probability of obtaining a difference between sample means of 110 mg or more

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution, the central limit theorem and difference between normal variables.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction of normal sample means:

When we subtract two distribution of the sample means, which are normal, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of standard errors squared.

Sample size of 55 men with mean 785 and standard deviation 489

This means that:

[tex]\mu_A = 785[/tex]

[tex]s_A = \frac{489}{\sqrt{55}} = 65.9367[/tex]

Sample size of 40 women with mean 670 and standard deviation of 419

This means that:

[tex]\mu_B = 670[/tex]

[tex]s_B = \frac{419}{\sqrt{40}} = 66.2497[/tex]

Difference between sample means:

The mean and the standard deviation are, respectively:

[tex]\mu = \mu_A - \mu_B = 785 - 670 = 115[/tex]

[tex]\sigma = \sqrt{s_A^2+s_B^2} = \sqrt{65.9367^2+66.2497^2} = 93.47[/tex]

What is the probability of obtaining a difference between sample means of 110 mg or more?

This is 1 subtracted by the pvalue of Z when X = 110. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{110 - 115}{93.47}[/tex]

[tex]Z = -0.053[/tex]

[tex]Z = -0.053[/tex] has a pvalue of 0.4812.

1 - 0.4812 = 0.5188

0.5188 = 51.88% probability of obtaining a difference between sample means of 110 mg or more

Answer:

[tex]13 \div 24[/tex]

13/24

Step-by-step explanation:

[tex]7 \div 8 - 1 \div 3[/tex]

[tex]taking \: the \: lcm \: of \: 8 \: and \: 3[/tex]

[tex]21 - 8 \div 24[/tex]

[tex]13 \div 24[/tex]

if it helps don't forget to like and mark me

Answer:

Step-by-step explanation:

You want the  value of theta, I take it.  Add 2 to both sides

2cos(theta) = 2                            Divide by 2

2cos(theta)/2 = 2/2

cos(theta) = 1

So theta = 0 degrees.

So 0,360 .... n*360 is the general solution.

Answer:

0.9955

Step-by-step explanation:

Given :

Mean weight increase , μ = 14

Sample mean weight increase , xbar = 16.3

Standard deviation, s = 5.9

Sample size, n = 45

Hypothesis :

H0 : μ = 14

H1 : μ > 14

The test statistic : (xbar - μ) ÷ (s/sqrt(n))

Test statistic = (16.3 - 14) ÷ (5.9/sqrt(45))

Test statistic = 2.3 / 0.8795200

Test statistic = 2.615

The Pvalue :

P(Z < 2.615) = 0.99554

Hence, pvalue = 0.9955 (4 decimal places).

Answer: 90 degrees to 120

Step-by-step explanation:

The probability of a temperature from 90 degrees to 120 degrees.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

Experiment: A trial or an operation conducted to produce an outcome is called an experiment.

Sample Space: All the possible outcomes of an experiment together constitute a sample space. For example, the sample space of tossing a coin is head and tail.

Favorable Outcome: An event that has produced the desired result or expected event is called a favorable outcome. For example, when we roll two dice, the possible/favorable outcomes of getting the sum of numbers on the two dice as 4 are (1,3), (2,2), and (3,1).

Trial: A trial denotes doing a random experiment.

Given:

Temperatures from 60 degrees to 160 degrees.

As, per the situation the probability will lie between 60 degree to 160 degree.

Hence, The probability of a temperature from 90 degrees to 120 degrees.

Learn more about probability here:

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Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remark

I don't think you need the quadratic formula for this equation. It just factors into (b - 2)(b - 2), but I'll do it because you requested it.

Formula

[tex]\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a}[/tex]

Givens

a = 1

b = - 4

c = 4

Solution

x = - - 4 +/- sqrt((-4^2) - 4*1*4)

       ====================

                   2*1

x = 4 +/- sqrt (16 - 16)

          ==========

              2

x = 4/2

x = 2

There are 2 roots but both of them are the same. Some teachers say there is only 1 root. I'm in that group.

Answer:

C, E, and F

Explanation:

There are two ways to answer this question. First, you could simply input each answer into both equations to see which one works but that would take quite a long time.

A better way is to simply solve each equation for x.

You could rewrite

2x + 7 < -3

as

2x + 7 = -3

and solve:

Subtract 7 from both sides

[tex](2x + 7) -7 = (-3) - 7\\2x = -10[/tex]

Now divide both sides by 2

[tex]\frac{2x}{2} = \frac{-10}{2}\\x = -5[/tex]

Now we can simply replace the equals sign with the inequality

x < -5

Where you can run into trouble is if you have to multiply or divide by a negative number across the equation, you must flip the inequality sign. It's best to leave it there to remind you, but I switched it out just to show that it's no different than a typical algebraic equation.

Now, we know that x can be any value less than -5. Let's find out the same thing for the second equation:

[tex]x - 8 + 3x < -4\\(x + 3x) -8 < -4\\4x - 8 < -4\\(4x - 8) + 8 < (-4) + 8\\4x < 4\\\frac{4x}{4} < \frac{4}{4}\\x < 1[/tex]

Now we know that x must be less than 1 for the second equation. So, now we can choose the answers that are both less than -5 and less than 1.

These answers are:

C. -10

E. -8.24

and

F. -15/2 which is -7.5

NOTE: -5 is equal to but not less than -5 so G is not included.

Answer:

when you calculate the value of w is z= 5

Step-by-step explanation:

Answer:

He needs 92 on his last test.

Step-by-step explanation:

Mean score:

The mean is the sum of all scores divided by the number of tests.

In this question:

Scores of 85, 89, 85, 89 and x(the last one).

5 tests.

We want a mean of 88. So we find x for a mean of 88.

[tex]\frac{85 + 89 + 85 + 89 + x}{5} = 88[/tex]

[tex]348 + x = 440[/tex]

[tex]x = 440 - 348 = 92[/tex]

He needs 92 on his last test.

Answer:x/4+3

Step-by-step explanation:

8/1×1/4=8/4=2

X/1×1/4=x/4

4/1×1/4=1

Answer:

2 + [tex]\frac{1}{4} x[/tex] + 1

Step-by-step explanation: