Find the Area of the figure below, composed of a rectangle and two
semicircles. Round to the nearest tenths place.

Answer:

Answer D

Step-by-step explanation:

The answer here is D since all of the other ones have at least one option that is perpendicular to segment EF.

Answer:

84.82

Step-by-step explanation:

Answer: 84.82

Step-by-step explanation:

Answer:

[tex]x = 3[/tex]

Step-by-step explanation:

Given

[tex]y = -2x^2 + 12x +7[/tex]

Required

The x coordinate of the vertex

Using the general form:

[tex]y = ax^2 +bx +c[/tex]

The x coordinate is:

[tex]x = -\frac{b}{2a}[/tex]

In [tex]y = -2x^2 + 12x +7[/tex]

[tex]a = -2[/tex]

[tex]b = 12[/tex]

[tex]c = 7[/tex]

So, we have:

[tex]x = -\frac{b}{2a}[/tex]

[tex]x = -\frac{12}{2*-2}[/tex]

[tex]x = -\frac{12}{-4}[/tex]

[tex]x = \frac{12}{4}[/tex]

[tex]x = 3[/tex]

Answer:

93.50

(853.90 ; 1040.90)

Step-by-step explanation:

Mean, xbar = 947.4 mg

Sample size, n = 18

σ = 188

Margin of Error :

Tcritical * σ/√n

TCritical at 95% , df = n - 1 = 17 = 2.11

Margin of Error = 2.11 * 188/√18 = 93.50

The 95%, confidence interval :

Xbar ±Margin of error

Lower boundary = Xbar - margin of error

Lower boundary = 947.4 - 93.50 = 853.90

Upper boundary = Xbar + margin of error

Lower boundary = 947.4 + 93.50 = 1040.90

(853.90 ; 1040.90)

Answer: 18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

The graph shows 180 pages on it, and if you go over and down then it shows chapter 18.

Answer:

The aswer is buy a rabbit

Step-by-step explanation:

Answer:

1611.372

Step-by-step explanation:

Answer:

[tex]Vertex = (\frac{1}{2},\frac{7}{4})[/tex]

Step-by-step explanation:

Given

[tex]f(x) = x^2 - x +2[/tex]

Required

The vertex

We have:

[tex]f(x) = x^2 - x +2[/tex]

First, we express the equation as:

[tex]f(x) = a(x - h)^2 +k[/tex]

Where

[tex]Vertex = (h,k)[/tex]

So, we have:

[tex]f(x) = x^2 - x +2[/tex]

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

Take the coefficient of x: -1

Divide by 2: (-1/2)

Square: (-1/2)^2

Add and subtract this to the equation

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

[tex]f(x) = x^2 - x +2[/tex]

[tex]f(x) = x^2 - x + (-\frac{1}{2})^2+2 -(-\frac{1}{2})^2[/tex]

[tex]f(x) = x^2 - x + \frac{1}{4}+2 -\frac{1}{4}[/tex]

Expand

[tex]f(x) = x^2 - \frac{1}{2}x- \frac{1}{2}x + \frac{1}{4}+2 -\frac{1}{4}[/tex]

Factorize

[tex]f(x) = x(x - \frac{1}{2})- \frac{1}{2}(x - \frac{1}{2})+2 -\frac{1}{4}[/tex]

Factor out x - 1/2

[tex]f(x) = (x - \frac{1}{2})(x - \frac{1}{2})+2 -\frac{1}{4}[/tex]

[tex]f(x) = (x - \frac{1}{2})^2+2 -\frac{1}{4}[/tex]

[tex]f(x) = (x - \frac{1}{2})^2+ \frac{8 -1 }{4}[/tex]

[tex]f(x) = (x - \frac{1}{2})^2+ \frac{7}{4}[/tex]

Compare to: [tex]f(x) = a(x - h)^2 +k[/tex]

[tex]h = \frac{1}{2}[/tex]

[tex]k = \frac{7}{4}[/tex]

Hence:

[tex]Vertex = (\frac{1}{2},\frac{7}{4})[/tex]

Question: Marsha wants to determine the vertex of the quadratic function f(x) = x2 – x + 2. What is the function’s vertex?

Answer:  A or 1/2 , 7/4

Step-by-step explanation:

did it on an assignment on EDGE

Answer:

true

Step-by-step explanation:

because 25+11 = 36

______

Answer:8

Step-by-step explanation:

If I remember correctly, if the numbers are inside the lines like these || that means absolute value. So the negative sign would cancel out and the one on the outside would carry over, making it a -8. The opposite of  -8 is 8.

Answer :

Cost of running shoes = $92

Cost of total expenditure = $122

It is given that the four pairs of socks cost the same so if we let the cost of one pair of socks as s then 4 pairs of socks will cost us $ 4s

Thus the equation formed will be ,

Option D is the correct answer

Answer:

I only know the second part sorry

9.35

Step-by-step explanation:

3(9)÷4+2.6=

27÷4+2.6=

6.75+2.6=

9.35

Answer:

Step-by-step explanation:

The total number of marbles is 20

Question A

P(Red) = 4/20 = 1/5

P(yellow) = 9/20

P(Red then Yellow) = 1/5 * 9/20 = 9 / 100

Question B

P(B) = 6/20

P(B again) = 5/19 because you  have 1 less total plus 1 less blue.

P(B and B) = 6/20 * 5/19

P(B and B) = 30/ 380 = 3/38

Equation,

[tex]y - y1 = m(x - x1)[/tex]

Plugging in our values,

[tex]x1 = - 2, \: y1 = 4, \: m = 3[/tex]

[tex]y - 4 = 3(x - ( - 2))[/tex]

[tex]y - 4 = 3(x + 2)[/tex]

So the equation is,

[tex]y - 4 = 3(x + 2)[/tex]

Answer:

The answer to the question is C

Answer:

2/3

Step-by-step explanation:

My brain is too big

Answer:

2/3

Step-by-step explanation:

Answer:

7635

Step-by-step explanation:

350(.2+21.5)+40=7635

Answer:

7525

Step-by-step explanation:

you have to multiply

Answer:

no pasa nada

Step-by-step explanation:

espero que eso te ayude:)

Answer:

Cualquier número dividido entre si mismo da como resultado 1

Answer:

The 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

A store randomly samples 603 shoppers over the course of a year and finds that 142 of them made their visit because of a coupon they'd received in the mail.

This means that [tex]n = 603, \pi = \frac{142}{603} = 0.2355[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 - 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2016[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 + 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2694[/tex]

The 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694).

Answer:

v = 3

Step-by-step explanation:

You can start by distributing -2:

-2v - 2 = 3v -17

Next, add 2v to both sides to combine the v terms:

-2v - 2 = 3v - 17

+2v        +2v

-2 = 5v - 17

To isolate the v term, we add 17 to both sides:

-2 = 5v - 17

+17       +17

15 = 5v

Lastly, divide by 5 to get v:

15 = 5v

÷ 5    ÷5

3 = v --> v = 3

Answer:

16 yd

Step-by-step explanation:

If a is missing, then use the square root of c^2-b^2. In this case that means you find the square root of 20^2-12^2. 20^2 is 400, and 12^2 is 144. When you subtract 144 from 400 you get 256. The square root of 256 is 16. I hope this helps :)

Answer:

16

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Define

Identify variables

Leg a = a

Leg b = 12

Hypotenuse c = 20

Step 2: Solve for a

Answer:

[tex]P(x > 4.5)= 0.983943[/tex]

Step-by-step explanation:

Given

[tex]\mu = 6[/tex]

[tex]\sigma = 0.7[/tex]

Required

[tex]P(x > 4.5)[/tex]

Start by calculating the z score

[tex]z = \frac{x - \mu}{\sigma}[/tex]

So:

[tex]z = \frac{4.5 - 6}{0.7}[/tex]

[tex]z = \frac{-1.5}{0.7}[/tex]

[tex]z = -2.143[/tex]

So, we have:

[tex]P(x > 4.5)= 1 - P(x < 4.5)[/tex]

This gives:

[tex]P(x > 4.5)= 1 - P(x < z)[/tex]

[tex]P(x > 4.5)= 1 - P(x < -2.143)[/tex]

Using the z score probability table, we have:

[tex]P(x > 4.5)= 1 - 0.016057[/tex]

[tex]P(x > 4.5)= 0.983943[/tex]

Answer:

According to hypotenuse

39²+b²=65²

b²=65²-39²

b²=4225-1521

b=√2,704

b=52 km

Answer:

(8, -1)

Step-by-step explanation:

The midpoint given two points (x1, y1) and (x2, y2) is:

([x1 + x2] / 2, [y1 + y2] / 2)

We have the point (x1, y1) as (-8, -7) and the midpoint as (0, -4). We can plug them in and create two equations, one to find x2, and another for y2.

0= [-8 + x2] / 2

0 = -8 + x2

x2 = 8

-4 = [-7 + y2] / 2

-8 = -7 + y2

y2 = -1

Therefore, point B is (8, -1)

Answer:

x = -8 Hope that helps bye!

Step-by-step explanation:

1. Subtract 3x from both side -5=5x+11-3x

2. Simplify 5x+11-3x= 2x+11

3. Subtract 11 from both sides -5-11=2x

4. Simplify -5-11= -16=2x

5. Divide both sides by 2 -16/2=x

4. Simplify 16/2 = -8 = x

5. Switch sides x= -8 would be your answer and if you want to check it just do 3x-5=5x+11 let x=-8  1. 3×-8-5=5×-8+11

2. 3×-8= -24 do -24-5=5×-8+11

3. Simplify 5×-8= -40 do -24-5=-40+11

4. Simplify -24-5= -29 do -29= -40+11=-29

-29=-29 this shows that x= -8 is your answer if you want to see if I'm right.

Answer:

(8.734 ≤ μd ≤ 10.026)

Step-by-step explanation:

Given the data:

Car Rear Front

1 41.6 32.6

2 35.8 26.7

3 46.4 37.9

4 46.2 36.9

5 38.8 29.9

6 51.8 42.3

7 51.2 42.5

8 44.1 33.9

9 47.3 36.1

Difference, d :

9, 9.1, 8.5, 9.3, 8.9, 9.5, 8.7, 10.2, 11.2

Mean difference, μd = Σd / n = 84.4 / 9 = 9.38

Standard deviation of difference, Sd = 0.84 (calculator)

The confidence interval :

μd ± margin of error

Margin of Error = Tcritical * Sd/√n

TCritical at 95%, df = 9-1 = 8

Tcritical = 2.306

Margin of Error = 2.306 * (0.84/√9) = 2.306*(0.84/3) = 0.64568

Lower boundary = 9.38 - 0.64568 = 8.73432

Upper boundary = 9.38 + 0.64568 = 10.02568

(8.734 ; 10.026)

Answer:

3.1 0.6912 = 69.12% probability that one or two out of the next four customers will make a purchase.

3.2 0.9744 = 97.44% probability that at least one out of the next four customers do not make a purchase

Step-by-step explanation:

For each customer, there are only two possible outcomes. Either they make a purchase, or they do not. The probability of a customer making a purchase is independent of any other customer. This 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.

40% of all customers walking into their store will buy at least one item on that occasion.

This means that [tex]p = 0.4[/tex]

4 customers:

This means that [tex]n = 4[/tex]

3.1 What is the probability that one or two out of the next four customers will make a purchase?

This is:

[tex]P(1 \leq X \leq 2) = P(X = 1) + P(X = 2)[/tex]

In which

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

[tex]P(X = 1) = C_{4,1}.(0.4)^{1}.(0.6)^{3} = 0.3456[/tex]

[tex]P(X = 2) = C_{4,2}.(0.4)^{2}.(0.6)^{2} = 0.3456[/tex]

So

[tex]P(1 \leq X \leq 2) = P(X = 1) + P(X = 2) = 0.3456 + 0.3456 = 0.6912[/tex]

0.6912 = 69.12% probability that one or two out of the next four customers will make a purchase.

3.2. What is the probability that at least one out of the next four customers do not make a purchase?​

This is:

[tex]P(X \leq 4) = 1 - P(X = 4)[/tex]

In which

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

[tex]P(X = 4) = C_{4,4}.(0.4)^{4}.(0.6)^{0} = 0.0256[/tex]

[tex]P(X \leq 4) = 1 - P(X = 4) = 1 - 0.0256 = 0.9744[/tex]

0.9744 = 97.44% probability that at least one out of the next four customers do not make a purchase