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Answer: 68 1/18

Step-by-step explanation:

Area of the large rectangle:

11 1/3 x 7 = 79 1/3

Area of tiled floor:

4 5/6 x 2 1/3 = 11 5/18

79 1/3 - 11 5/18 = 68 1/18

Answer:

68 1/18

Step-by-step explanation:

7 x 11 1/3 = 79 1/3

4 5/6 x 2 1/3 = 11 5/18

79 1/3 - 11 5/18 = 68 1/8

Answer:

a) [tex]10[1-e^{-y/3} ] ^{2} e^{-y}[/tex]

b)    ≈ 0.76

Step-by-step explanation:

Given that : Y1 < Y2 < Y3 < Y4 < Y5   are the order statistics of five independent observations

mean of θ  = 3

a) Determine the P.d.f of the sample median

P.d.f of sample median ( y3 ) = [tex]10[1-e^{-y/3} ] ^{2} e^{-y}[/tex]    

attached below is the detailed solution

b) determine the probability that Y4 is < 5

p( Y4 < 5 ) = G4( 5 )

                 = 0.7599 ≈ 0.76

attached below is the detailed solutions

$32500 * 0.09 = 2925

32500-2925 = 29575

29575 * 0.22 = 6506.5

Amount left: 29575 - 6506.5 = 23068.5

Answer:

C. 4.5 inches

Step-by-step explanation:

Given the following data;

Force, F = 10 pounds

Extension, e = 3 inches

First of all, we would determine the spring constant (k) using the following formula;

Force = spring constant * extension

10 = spring constant * 3

Spring constant = 10/3

Spring constant = 3.33 pounds per inches.

Next, we would find the extension of the spring when a force of 15 pounds is applied;

F = ke

15 = 3.33 * e

Extension, e = 15/3.33

Extension, e = 4.5 inches.

9514 1404 393

Answer:

  h(g(x)) = (1/5)x² +4/5

Step-by-step explanation:

  [tex](h\circ g)(x)=h(g(x))=h(x^2+2) = \dfrac{(x^2+2)+2}{5}=\dfrac{x^2+4}{5}\\\\\boxed{(h\circ g)(x)=\dfrac{1}{5}x^2+\dfrac{4}{5}}[/tex]

Answer:

d.233 is the answer

Step-by-step explanation:

hope it helps you

Answer:

Jdjdkdjdjdjdjfjfjdjfjdkdjdjdjdjdjdjdjfjjff

Answer:

y=1/2x-3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-7-(-1))/(-8-4)

m=(-7+1)/-12

m=-6/-12

m=1/2

y-y1=m(x-x1)

y-(-1)=1/2(x-4)

y+1=1/2x-4/2

y=1/2x-2-1

y=1/2x-3

Answer: 130.8 on acellus

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

a

Answer:

14

Step-by-step explanation:

Find the product and fill in the blanks to write in standard complex number form.

Answer:

I can't really see the question. Maybe the below will help anyway

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

Answer: the first graph does

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

the values that meet this requirement, 18 ≤ x < 30, are:

18, 18, 21, 24, 25, 29

Answer:

I'm always right B-) SHEESH

9514 1404 393

Answer:

  1/6

Step-by-step explanation:

16 2/3% = (16 2/3)/100 = (50/3)/100 = 50/300 = 1/6

Answer:

See attachment for plots

Step-by-step explanation:

Given

The attached equations and points

Required

Plot the graph for each

[tex](a)\ y = x + 3[/tex]

[tex]x = \{-2,0,2\}[/tex]

For each value of x, we have:

[tex]y =x +3[/tex]

[tex]y =-2 +3 =1[/tex] ------ [tex](-2,1)[/tex]

[tex]y =0 +3 =3[/tex] ---- [tex](0,3)[/tex]

[tex]y =2 +3 =5[/tex] ----- [tex](2,5)[/tex]

[tex](b)\ y = \frac{1}{2}x - 2[/tex]

[tex]x = \{-2,0,2\}[/tex]

For each value of x, we have:

[tex]y = \frac{1}{2}x - 2[/tex]

[tex]y = \frac{1}{2}*-2 - 2= -3[/tex] ------ [tex](-2,-3)[/tex]

[tex]y = \frac{1}{2}*0 - 2= -2[/tex] ---- [tex](0,-2)[/tex]

[tex]y = \frac{1}{2}*2 - 2= -1[/tex] ----- [tex](2,-1)[/tex]

See attachment for both plot

Answer:

1.016 cm

Step-by-step explanation:

1 inch = 2.54 cm

0.4 inch = 2.54 * 0.4 cm = 1.016 cm

This question is incomplete, the complete question is;

If 8 people invest $500 each in a stamp collection and after a year the collection is worth $3,800, how much did each person lose? show work​

Answer:

Each person lost $25

Step-by-step explanation:

Given the data in the question;

Number people that invested = 8

Amount each invested = $500

worth after a year the collection = $3,800

Now, the amount each person lost will be;

[tex]Lost_{each-person[/tex] = Total loss / total number of persons

[tex]Lost_{each-person[/tex] = [ ( 500 × 8 ) - 3800 ] / 8

[tex]Lost_{each-person[/tex] = [ 4000 - 3800 ] / 8

[tex]Lost_{each-person[/tex] = 200 / 8

[tex]Lost_{each-person[/tex] = 25

Therefore, each person lost $25

Answer:

{5}

Step-by-step explanation:

Set of counting numbers:

Set of numbers you count with, starting from 1. So

C = {1,2,3,4,5,....}

Proper subset of a set:

A proper subset of a set A is a subset B that is not equal to A, that is, all elements of B are in A but A has at least one element that is not in B.

In this question:

The set of counting numbers is C = {1,2,3,4,5,....}

Among the options, {-1,0,1} and {0} are not subsets of C, as they contain elements that are not in C, while {1,2,3,...} is not a proper subset, as it is equals to C. So the correct answer is {5}.

Answer:

i cant read half the stuff on the paper

bye

Answer:

20

Step-by-step explanation:

its is 20 for both because the 0 and 20 are the same.

Answer: D

Step-by-step explanation:

Answer:

5, 3

Step-by-step explanation:

1,-1  enlarged by 4

New coordinates = 4 + 1 = 5

-1 + 4 = 3

The required scaled image of (1, -1) after dilation by scale factor 4 is (5,3).

As per the question, determine the image of (1, -1) after dilation by a scale factor of 4 centered at the origin.

The scale factor is defined as the ratio of modified change in length to

Coordinate, is represented as the values on the x-axis and y-axis of the graph

Here,
The dilation of the coordinate by a scale factor of 4 can be given as,
x = 1 + 4 = 5
y = -1 + 4 = 3

Thus, the required scaled image of (1, -1) after dilation by scale factor 4 is (5,3).

Learn more about Scale factors here:

https://brainly.com/question/22312172

#SPJ5

Answer:

C! I remember this hehehehe xD

Answer:

-8 yd. lost in football

Step-by-step explanation:

Answer:

Median = 13.5

Mean = 12.5

Step-by-step explanation:

Answer:

x = 28 cm

Step-by-step explanation:

Given:

Area of link shaded regions = 84 cm²

Required:

The value of x (diameter of the semicircle/length of the rectangle)

Solution:

Diameter of the semicircle = 2r = x

Length of rectangle (L) = 2r = x

Radius of semicircle (r) = ½x

Width of rectangle (W) = radius of semicircle = ½x

Use 3.14 as π

Area of the link shaded regions = area of rectangle - area of semicircle

Thus:

Area of the link shaded regions = (L*W) - (½*πr²)

Plug in the values

84 = (x*½x) - (½*3.14*(½x)²)

84 = x²/2 - (1.57*x²/4)

84 = x²(½ - 1.57/4)

84 = x²(0.5 - 0.3925)

84 = x²(0.1075)

Divide both sides by 0.1075

84/0.1075 = x²

781.4 = x²

√781.4 = x

27.9535329 = x

x = 28 cm

Answer:

a) Approximately normal variable.

b) 0.05.

c) 0.0123

d) Approximately 0% probability that more than 10% of her sample will be Snorlaxes

Step-by-step explanation:

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

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.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

5% chance that a Snorlax will appear. Tanya will search Mill Creek park until she captures 312 random pokemon.

This means that [tex]p = 0.05, n = 312[/tex]

a. What type of random variable can we use to approximate the sample proportion?

By the Central Limit Theorem, an approximately normal variable.

b. What is the mean of the sample proportion?

[tex]\mu = p = 0.05[/tex]

The mean is 0.05.

c. What is the standard deviation of the sample proportion?

[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.05*0.95}{312}} = 0.0123[/tex]

d. What is the approximate probability that more than 10% of her sample will be Snorlaxes?

This is 1 subtracted by the pvalue of Z when X = 0.1. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{0.1 - 0.05}{0.0123}[/tex]

[tex]Z = 4.05[/tex]

[tex]Z = 4.05[/tex] has a pvalue of approximately 1

1 - 1 = 0

Approximately 0% probability that more than 10% of her sample will be Snorlaxes