Historically, 48% of people have rented their residence. A random sample of 500 people is taken. 260 of them rent (as oppose to own) their residence. A researcher is studying the claim that the percentage of people renting has increased. Compute the value of the test statistic for this hypothesis test. Round your answer to 2 decimal places.

In the question, the probability of getting the given number of success

from a specified number of trials is required.

The correct probability function to use is the binomial probability function.

Reasons:

The given parameters are;

The probability of success = 0.06

The number of trials = 15 trials

The probability of interest = The probability of two successes in 15 trials

Solution;

The required probability is given by the following binomial probability

distribution formula;

[tex]P(x) = \dbinom{n}{x}\cdot p^x \cdot q^x = \mathbf{\dfrac{n!}{(n - x)! \cdot x!} \cdot p^x \cdot q^x}[/tex]

Where:

n = Number of trials

x = Number of required success

p = Probability of a success

q = Probability of one failure = 1 - p

For the question, we get;

[tex]P(x) = \dfrac{15!}{(15 - 2)! \times 2!} \times 0.06^2 \times (1 - 0.06)^{15 - 2} \approx \mathbf{0.169}[/tex]

Therefore, the correct option is, a binomial probability function

Learn more here:

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The question options are;

Binomial probability function

Normal probability density function

Standard normal probability density function

Poisson probability function

Answer:

90%

Step-by-step explanation:

N125 = 2x + N100

2x = N25

x = N12.5

camera = N100 + N12.5 = 112.5

Total = N125

(Camera/Total) x 100 = % spent on camera

(112.5 / 125) x 100 = 90%

Answer:

No. It is not greater than 3/8

Step-by-step explanation:

3/8 x 100

=> 300/8

=> 37.5

=> 26% < 37.5%

Therefore, 26% is not greater than 3/8 or 37.5

Hoped this helped.

Answer:

4.75 divided by 5 =0.95

Step-by-step explanation:

Answer:

440$

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

5L - 0.5 = 4.5

Pam is putting 4.5L into bottles

4.5/0.75 = 6

0.75L = 1 bottle

x2

1.5L = 2 bottles

x3

4.5L = 6 bottles

Answer:

  3/4 hour

Step-by-step explanation:

The ratio of speeds going : coming is 9 : 3 = 3 : 1. The ratio of times will be the inverse of this: 1 : 3.

The time spent walking back is 3/(1+3) = 3/4 of the total, or 3/4 hour.

Andrea should plan on walking back for 3/4 hour.

Hello!

9xy-5xy=4xy

We can add like terms.

Like terms are same variables. Examples:

x+x

Remember:

x+x^2 can't be simplified.

y+x can't be simplified.

Hope it helps!

~Just a determined teen

#CarryOnLearning

[tex]MysteriousNature[/tex]

The expression 4xy is added to the equation 5xy to get 9xy​.

A collection of constants, variables connected using one or more arithmetic operator is called an expression

Example = 4y, 3x+4.

Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.

Example = 2x +4 = 12

Here, 4 and 12 are constants and x is variable

The equation can be solved as:

Let t be added to the following equation,

5xy + t = 9xy

Subtract 5xy  from both the sides,

t = 9xy​ - 5xy

t = 4xy

Thus, 4xy is added to 5xy to get 9xy.

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Answer:

1213.75

Step-by-step explanation:

you turn the percent int a decimal, and then multiply it by 4855. then the answer you get (3641.25) you subract 4855 by it to get the answer

Answer:

<1 = 50

<2 = 130

Step-by-step explanation:

<1 and 130 are supplementary angles

<1 + 130 = 180

<1 =180-130

<1 = 50

130 and <2 are corresponding angles and corresponding angles are equal when the lines are parallel

<2 = 130

Step-by-step explanation:

Well first we can say measure angle 2 equals 130° because they are S.s.int.ext angles, (same side interior angles and exterior). Or also corresponding

Now with measure angle 1, it is a supplementary angle

Let 1 stand for measure angle 1

[tex]130 + m1 = 180[/tex]

Subtract 130° from both sides

[tex]m1 = 50[/tex]

Given that

In a Parallelogram CARS ,∠C = (5x-20)°

∠A = (3x+20)°

angle C and angle A are adjacent angles

We know that

In a Parallelogram the adjacent angles are supplementary.

⇛∠C + ∠A = 180°

⇛ (5x-20)°+(3x+20)° = 180°

⇛5x°-20°+3x°+20° = 180°

⇛(5x°+3x°)+(20°-20°) = 180°

⇛8x°+0 = 180°

⇛8x° = 180°

⇛ x° = 180°/8

⇛ x° = 22.5°

Answer:-The value of x = 22.5°

also read similar questions: In parallelogram MATH, m= (3x+ 20) and t= (5x-4) find A

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find the value of x (5x+12) (3x+8) a 10 b 15 c 20 d 25

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Answer:

3.84m

Step-by-step explanation:

32*12=384

384/100=3.84

Answer:

384. hope this helps you out

Explain: 32•12=384, but for got to divide it so it equal 3.84

Answer:

3000

Step-by-step explanation:

Answer:

300

Step-by-3step explanation:

11 minutes + 4 minutes more yesterday = 15 total minutes

Answer: 15 minutes

Answer:

Emilia waited 11 minutes wich was 4 minutes earlier so 11+4 because it was 4 miutes earlier so 11 minutes + 4 minutes = 15 minutes so this means Emilia wait 15 minutes for the bus yesterday

Step-by-step explanation:

Answer:

Step-by-step explanation:

First, we add 16 and 28 [tex]16+28=44[/tex]

Now we have to solve for x

We know we have to do parenthesis first so [tex](4+7)=11[/tex]

[tex]44=x(11)[/tex]

Then we divided both sides by 11

[tex]\frac{44}{11} =\frac{11x}{11}[/tex]

[tex]x=4[/tex]

To find the Prime Factorisation of 84 we have to divide 84 by the smallest prime number which is 2

So [tex]\frac{84}{2} = 42[/tex]

Since 42 is an even number we can still divide it by 2

So [tex]\frac{42}{2} = 21[/tex]

Now we can divide 21 by the 2nd smallest prime number which is 3

So [tex]\frac{21}{3} = 7[/tex]

So the prime factors of 84 would be [tex]2*2*3*7[/tex] or [tex]2^2*3*7[/tex]

Answer:

DE = 5x-12 (base angles of isos triangle)

Answer:

second or last

Step-by-step explanation:

Answer:  1/8 < 2/5 < 5/7

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

we know that the inverse function undoes the original function, there fore we get the answer as the second choice

Answer:

A is correct

Good Luck!!

Answer:

50.24 cm

Step-by-step explanation:

50.24 cm

2

Explanation:

Using the formula,

Area

=

π

×

r

2

Here

π

is a button on your calculator you can find, but is also generally known as  

3.14

, you can use either one, but teachers usually prefer you use the  

π

button.

r

=

the radius, in your case, it's  

4 cm

So

Area

=

π

×

r

2

=

π

×

(

4 cm

)

2

=

16

π

cm

2

≈

50.24 cm

2

Answer:

A(t) = amount remaining in t years

= A0ekt, where A0 is the initial amount and k is a constant to be determined.

Since A(1690) = (1/2)A0 and A0 = 80,

we have 40 = 80e1690k

1/2 = e1690k

ln(1/2) = 1690k

k = -0.0004

So, A(t) = 80e-0.0004t

Therefore, A(430) = 80e-0.0004(430)

= 80e-0.172

≈ 67.4 g

Step-by-step explanation:

hope it helpful for you ❤️

Answer:

<

Step-by-step explanation:

-0.5 is greater than -0.64

We need to find the symbol -0.64 ,0-0.5. -0.64<0-0.5.

A number system is defined as a system of writing to express numbers.

We need to find which symbol is used between Minus zero point six four and minus zero point five.

-0.64 and -0.5

As we know that the integers are number with positive, Negative and zero.

-0.64<-0.5

On the number line the integer -0.64 lies on left of -0.5.

So -0.64 is less than -0.5.

Hence -0.64 is less than -0.5.

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Answer:

y = -4x + 28

Step-by-step explanation:

yeah-ya........ right?

Step-by-step explanation:

what is the standard form for your teacher ?

because that is absolutely not agreed on worldwide (and even between teacher and teacher in the same region).

there are 2 main forms :

the general slope intercept form is

y = ax + b

a is the slope. and is here -4.

b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).

we get b by using the point coordinates in the half finished equation :

4 = -4×6 + b = -24 + b

28 = b

so, the equation is

y = -4x + 28

the general slope point form is

y - y1 = a(x - x1)

where a (often called m) is again the slope, and x1, y1 are the coordinates of a given point.

so, we have

y - 4 = -4(x - 6)

Answer:

y=x+2

Step-by-step explanation:

-1+3/3-1=2/2=1

y+3/x-1=1

x-1=y+3

y=x-4

Solution: For finding QR we need to apply Pythagoras Theorem

What is Pythagoras Theorem ?

ans : Pythagoras Theorem is the sum of square of two sides which is equal to the third side or the hypotenuse. This formula is valid oy incase of Right-Angled Traingle because one of three angles here is 90°

According to this law let's apply it in the diagram shown here.

After factorising both of them we get

So, QR is √(16x² - 14x + 3)

Step-by-step explanation:

mean of 20 lb and a standard deviation of 9. If 9 fish are randomly selected,

what is the probability that the mean weight will be between 17.6 and 23.6

Ib? Write your answer as a decimal rounded to 4 places

Answer:

x = 6

Step-by-step explanation:

Because we have parallel lines, we can use alternate angles are equal. Therefore, we know that 11x-6 = 10x.

Minus 11 from both sides, and we get -6 = -x, so x = 6

Answer:Mark would be 11

Step-by-step explanation: If we divide 23 and 2 because there's two people we would get 11.5. Now subtract 11.5 by 5 which is 11. Mark is 11 years old. Good luck!