Find the area of the irregular figure. Round to the nearest hundredth.

Answer:

Pvalue = 0.1505

y = 0.550x1 + 3.600x2 + 7.300

Step-by-step explanation:

Given the data :

Study Hours GPA ACT Score

5 4 27

5 2 18

5 3 18

1 3 20

2 4 21

Using technology, the Pvalue obtained using the Fratio :

F = MSregression / MSresidual = 30.228571/ 8.190476 = 3.69

The Pvalue for the regression equation is:

Using the Pvalue from Fratio calculator :

F(1, 3), 3.69 = 0.1505

Using the Pvalue approach :

At α = 0.01

Pvalue > α ; Hence, we fail to reject H0 and conclude that ; There is not enough evidence to show that the relationship is statistically significant.

The regression equation :

y = A1x1 + A2x2 +... AnXn

y = 0.550x1 + 3.600x2 + 7.300

x1 and x2 are the predictor variables ;

y = predicted variable

Answer:

(-0.1059 ; - 0.0337)

Step-by-step explanation:

The data table is attached in the picture below:

These is a matched pair design ; which requires taking the difference of the two values for each sample :

The mean and standard deviation of the difference will be used to construct the confidence interval :

The mean of difference, dbar = Σx/n = - 0.0698

The standard deviation of difference, Sd ;

Sd = [√Σ(d - dbar)²/(n-1)] = 0.1054

n = sample size = 25

The confidence interval :

dbar ± [TCritical * Sd/√n]

Tcritical at 90% ; df = n -1 = 25 -1

Tcritical(90% , 24) = 1.1711

C.I = - 0.0698 ± (1.711 * 0.1054/√25)

C.I = - 0.0698 ± 0.0361

C.I = (-0.1059 ; - 0.0337)

Answer:

c

Step-by-step explanation:

C is the correct answer

Answer:

woman =39years

twins 0year each since 12 years ago they were not yet born

Answer:

50,000 : 0.01

multiply by 100...

5000000 : 1

 1:5,000,000

Step-by-step explanation:

Answer: 10

Step-by-step explanation:

4 x 2 x 5 = 40

9 + 2 + 7 + 8 + 4 = 30

40 - 30 = 10

= 10

Answer:

15.9

Step-by-step explanation:

The distance between -10.2 and 5.7 is 15.9 after plotting the points on a number line.

It is defined as the representation of the numbers on a straight line that goes infinitely on both sides.

It is given that:

Two numbers on a number line:

-10.2 and 5.7

As we know, a number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

Indicating the above numbers on a number line:

= 5.7 -(-10.5)

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

= 5.7 + 10.5

= 15.9

Thus, the distance between -10.2 and 5.7 is 15.9 after plotting the points on a number line.

Learn more about the number line here:

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Answer:

78%

Step-by-step explanation:

the chance of rain

P(R) = 0.9

the chance of wind and rain

P(R∩ W) = 0.7

The probabilities of windy weather is

P(W) = [tex]\frac{P(RW)}{P(R)} =\frac{0.7}{0.9} =0.78[/tex]

The correct answer is B) 78%

Answer:

6.8

Step-by-step explanation:

The number is already rounded to the nearest tenth and hundredth.

Answer:

Step-by-step explanation:

Given system:

Substitute x into the second equation:

Find x:

Answer:

x = 2 and y = -2

Step-by-step explanation:

Given system :-

y + 4 = x

10x + 2y = 16

Solve the system by substitution:-

Let,

y + 4 = x ...(1)

10x + 2y = 16 ...(2)

Solve for y;

Substitute y + 4 as x in the eq.(2)

10( y + 4 ) + 2y = 16

10y + 40 + 2y = 16

12y + 40 = 16

12y = 16 - 40

12y = -24

12y / 12 = -24/12

Hence, y = -2

Solve for x.

-2 + 4 = x

Hence, 2 = x

Answer:

√3 x^5y

First, let's do √3

√3=1.7

1.7 • x^5 • y

if you want

1.7 • X^4• x• y.

There are tons of equivalent's!

Solution :

From the given equation :

E[ E (X|Y) ] = E (X)

a). Then,

   E[ E [ X|Y,Z] | Z] = E [ X|Z ]

     ----  True

   E [ E [ X|Y ] | Z ] = E [ X|Z ]

    ---- False

  E [E [X | Y,Z ]] = E [X|Y ]

    ----  False

b). Th quantity E [ g (X,Y) | Y,Z ] is ,

The low of iteration tell the following statement are true E[ E [ X|Y,Z] | Z] = E [ X|Z ] . A random variable y . A function of (Y,Z)

From the given equation the law of iterated expectations

[tex]E[ E (X|Y) ] = E (X)[/tex]

Therefore We have to find a)

Iteration is the repetition of a process in order to generate a sequence of outcomes.

So by using the low of iteration we can say that,

E[ E [ X|Y,Z] | Z] = E [ X|Z ]     ----  True

E [ E [ X|Y ] | Z ] = E [ X|Z ]  ---- False

E [E [X | Y,Z ]] = E [X|Y ]   ----  False

b). Th quantity E [ g (X,Y) | Y,Z ] is ,

For a random variable y this is  -----  True

For a number ----- False

For a function of (X,Y)  -----   False

For a function of (Y,Z) -----   True

For function of Z only  -------   False

Therefore,The low of iteration tell the following  statement are true E[ E [ X|Y,Z] | Z] = E [ X|Z ] . A random variable y . A function of (Y,Z)

To learn more about the iteration visit:

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Answer:

67. A

68. D

Step-by-step explanation:

I don't remember exactly the explanation, but I recommend you try to learn more about number lines sometime when you aren't under stress from schoolwork, because they're pretty simple questions to answer once you get a better understanding of them!

Answer:

28.27 in²

Step-by-step explanation:

The equation for the area of a circle is A = π[tex]r^{2}[/tex]. However, we got the diameter.

diameter = 2(radius), so:

A = [tex]\frac{1}{4}[/tex]πd².

A = 1/4 * π * 6² ≈ 28.27433

Answer:

[tex]x^{2} -16[/tex]

a = 1

b=0

c= -16

i assume the next question is to factor that...

(x-4)(x+4)

Step-by-step explanation:

This is the answer.

Hope it helps!!

Answer:

[tex]120.\sqrt{2}.\sqrt[3]{3}[/tex]

Step-by-step explanation:

[tex]\sqrt{32} = \sqrt{16.2} =\sqrt{4^{2}.2} = 4\sqrt{2}[/tex]

[tex]\sqrt[3]{81} =\sqrt[3]{27.3} =\sqrt[3]{3^{3}.3 }=3\sqrt[3]{3}[/tex]

∴[tex]5\sqrt{32}.2\sqrt[3]{81} =5. [4\sqrt{2}].2.[3\sqrt[3]{3} ][/tex]

                   [tex]=120.\sqrt{2}.\sqrt[3]{3}[/tex]

Answer:

2424.5

904.16

Step-by-step explanation:

the mean = ∑frequency /n

∑f = 5+17+36+115+125+81+47+45+22+7 = 500

∑xf = 1212250

∑x²f = 3347037625

sample mean = 1212250/500

= 2424.5

variance = 1/500-1[3347037625 - 1212250²]

= 815710.02

standard deviation is = √variance

standard deviation = √815710.02

= 904.16

all students = 150

M = 60

S = 45

M and S = 25

(a) At least one of the two requirements:

M or S = M + S - (M and S) = 60 + 45 - 25 = 80

(b) Exactly one of the two requirements:

(M or S) - (M and S) = 80 - 25 = 55

(c) Neither requirement:

(all students) - (M or S) = 150 - 80 = 70

Answer:

Please could you add an image, maybe I could answer then

Step-by-step explanation:

271 unit² is the  area of the polygon. The correct option is option B among all the given options.

The size of a patch on a surface is determined by its area. Surface area is defined as the circumference of an open surface or indeed the boundaries of a three-dimensional object, whereas the area of a plane region and plane area relates to the area of a form or planar lamina.

Area can be interpreted as the quantity of material with such a specific thickness required to create a replica of the shape or as the quantity of paint required to completely cover a surface in a single coat. This is the two-dimensional equivalent of the volume of a solid or the length of a curve.

The area is the sum of 3 rectangles are:

First          12 × 19 = 228

Second       3 × 3   = 9

Third           2 × 17 = 34

total area = 228 + 34 + 9 =  271 unit²

Therefore,  271 unit² is the  area of the polygon. The correct option is option B.

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Your question is incomplete but most probably your full question was,

What is the area of the polygon given below

Answer:

x = -1 and y = -3

Step-by-step explanation:

1.

y = x-2 ....(1)

y = 4x+1 ....(2)

Put the values of y from equation (1) to (2).

x-2 = 4x+1

-2-1 = 4x - x

-3 = 3x

x = -1

Now put the value of x in equation (1).

y = -1-2

y = -3

So, the values of x and y are -1 and -3 respectively.

Answer:

0.3968 = 39.68% probability this shipment passes inspection.

Step-by-step explanation:

The parts are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

50 parts means that [tex]N = 50[/tex]

4 defective means that [tex]k = 4[/tex]

10 are chosen, which means that [tex]n = 10[/tex]

What is the probability this shipment passes inspection?

Probability that none is defective, so:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 0) = h(0,50,10,4) = \frac{C_{4,0}*C_{46,10}}{C_{50,10}} = 0.3968[/tex]

0.3968 = 39.68% probability this shipment passes inspection.

Answer:

The expected value of the proposition is of -0.29.

Step-by-step explanation:

For each free throw, there are only two possible outcomes. Either the player will make it, or he will miss it. The probability of a player making a free throw is independent of any other free throw, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Suppose a basketball player has made 231 out of 361 free throws.

This means that [tex]p = \frac{231}{361} = 0.6399[/tex]

Probability of the player making the next 2 free throws:

This is P(X = 2) when n = 2. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{2,2}.(0.6399)^{2}.(0.3601)^{0} = 0.4095[/tex]

Find the expected value of the proposition:

0.4095 probability of you paying $31(losing $31), which is when the player makes the next 2 free throws.

1 - 0.4059 = 0.5905 probability of you being paid $21(earning $21), which is when the player does not make the next 2 free throws. So

[tex]E = -31*0.4095 + 21*0.5905 = -0.29[/tex]

The expected value of the proposition is of -0.29.

Answer:

500

Step-by-step explanation:

Answer:....... no clue ut pls mark me brainiest

Step-by-step explanation:

Answer:

1. Tyler

2. 8.33

3. 8.5

4. Tyler

Step-by-step explanation:

this is just playing with the numbers. no complex math concepts.

Tyler's graph shows she reached 1 mile after 8 1/3 minutes (8 minutes and 20 seconds). that is 25/3 minutes.

according to Elena's equation she reached 1 mile (x=1) after 8.5 minutes. that is 8 1/2 minutes or 8 minutes and 30 seconds.

so, we see that Elena took more time (10 seconds longer) to run 1 mile, so Tyler was faster.

to generally compare the 2 we can write also Tyler's graph as function (like for Elena) :

8 1/3 = 8.333333....

y = 8.33x

but that is just FYI (not asked for here).

since Tyler was faster (and her graph also showed a straight line of time and distance up to 10 minutes and beyond, so, she did not slow down after the first mile), she also ran further after 10 minutes. that is the definition of "being faster" - to go further in the same amount of time.

Tyler needed 8.33 minutes per mile.

Elena needed 8.5 minutes per mile.

and so, Tyler was faster.

points 1 and 4 are directly coupled. they both express the same thing.

The answer is D

Hope that was fast enough

a) B

b) D

Hope this helps you

Answer:

answer is 5/9

Step-by-step explanation:

Answer:

The answer is 5/9 or 0.555 (the 5 is repeated)