GFZ=38, ZFE= 2x+125, GFE= x+163. Find x.

QUESTION POSTED AT 26/03/2020 - 01:06 PM

Related questions

In one town, 39% of all voters are Democrats. If two voters are randomly selected for a survey, find the probability that they are both Democrats. Round to the nearest thousandth if necessary.

Answer:

The probability is 0.152

Step-by-step explanation:

We know that in this town 39% of all voters are Democrats. Therefore, the probability of a randomly selected voter being a Democrat is p=0.39

The experiment of randomly select voters for a survey is called a Bernoulli experiment (under some suppositions). We suppose that exist independence in this randomly selection of voters. We also suppose that there are only two possibilities for the voter : It is Democrat or not.

Now the variable X : ''The randomly selected voter for a survey is Democrat'' is a Binomial random variable.

X ~ Bi (n,p)

The probability function for the BInomial random variable X is :

P(X=x)=(nCx).p^{x}.(1-p)^{n-x}

Where ''n'' is the number of Bernoulli experiments (In this case n = 2 because we randomly selected two voters)

P(X=x) is the probability of the variable X to assumes the value x

(nCx) is the combinatorial number define as

(nCx)=\frac{n!}{x!(n-x)!}

p = 0.39 in this exercise.

We are looking for P(X=2) ⇒

P(X=2)=(2C2).(0.39)^{2}.(1-0.39)^{2-2}=(0.39)^{2}=0.1521

If we round to the nearest thousandth the probability is 0.152

ANSWERED AT 01/04/2020 - 01:48 PM


QUESTION POSTED AT 01/04/2020 - 01:48 PM

Find the volume of the cylinder. Round your answer to the nearest tenth

V = pi*(r^2)*h
V = pi*(7^2)*5
V = pi*(49)*5
V = 245pi ft^2
V = 796.7 ft^2

ANSWERED AT 01/04/2020 - 01:47 PM


QUESTION POSTED AT 01/04/2020 - 01:47 PM

Find the volume of the cylinder. Round your answer to the nearest tenth

Answer. 42.41
Cylinder Equation: SA= 2× 3.14×r^2+2×3.14×r×h
Diameter of circle divided by 2 to get the radius =1.5
R= Radius
H=Height

ANSWERED AT 01/04/2020 - 01:46 PM


QUESTION POSTED AT 01/04/2020 - 01:46 PM

Find the area of a triangle when the base is 24 feet and one of the sides is 13 feet

The area of the triangle is 156ft.

ANSWERED AT 01/04/2020 - 01:39 PM


QUESTION POSTED AT 01/04/2020 - 01:39 PM

Find the volume V or height H of the cylinder. Round your answer to the nearest tenth

X = multiplication
h = height
r^2 = radius squared

Formula of a cylinder: Pi x r^2 x height

So, if 176 = 3.14... times 4^2  times h
Then, 176 = 3.14 times 16h 
Next, 176 = 50.24h
Finally, 3.5 = h

You can then check your work by plugging 3.5 back in for the missing height and round to the nearest tenth. :) The answer should come out the same if done correctly.

ANSWERED AT 01/04/2020 - 01:39 PM


QUESTION POSTED AT 01/04/2020 - 01:39 PM

How can you use the information shown to find its perimeter?

Well u know the area is 35 in^2 and the length is 7in. Let x = width
7x = 35
x = 35/7
Perimeter = 7(2) + 2(35/7) --> 14 + 70/7 --> 14 + 10 = 24

ANSWERED AT 01/04/2020 - 01:38 PM


QUESTION POSTED AT 01/04/2020 - 01:38 PM

Find the volume V or height H of the cylinder. Round your answer to the nearest tenth

V=Bh
π r^2h
3.14(4)^2(15)
V= 753.6 ft^3

ANSWERED AT 01/04/2020 - 01:37 PM


QUESTION POSTED AT 01/04/2020 - 01:37 PM

Which statements describe the graph of y = 4x2 + 28x + 49? Check all that apply. The graph has two x-intercepts because 4x2 + 28x + 49 has two different factors. The equation 2x + 7 = 0 can be used to find a zero of the function. The equation (2x – 7)2 = 0 can be used to find the y-intercept. The graph has a double root at x = . The graph intersects the y-axis at y = 49.

The graph has two x-intercepts because 4x2 + 28x + 49 has two different factors.FALSEThe equation 2x + 7 = 0 can be used to find a zero of the functionTRUE.The equation (2x – 7)2 = 0 can be used to find the y-intercept.FALSEThe graph has a double root at x = .TRUEThe graph intersects the y-axis at y = 49. TRUE

ANSWERED AT 01/04/2020 - 01:30 PM


QUESTION POSTED AT 01/04/2020 - 01:30 PM

Can someone help me to find this

Lol i learned that today sorry i didn't get it either

ANSWERED AT 01/04/2020 - 01:30 PM


QUESTION POSTED AT 01/04/2020 - 01:30 PM

Find the original price of a pair of shoes if the sale price is $52 after a $20 discount

$72 since the discount was $20 off, so the original price would be $52 + $20, which is $72.

ANSWERED AT 01/04/2020 - 01:28 PM


QUESTION POSTED AT 01/04/2020 - 01:28 PM

Find an equation of a line through (2, 1) and perpendicular to −2x + 4y = 8 a. y = −2x − 3 b. y = −2x + 3 c. y = −2x + 5 d. y = −2x − 1

Hello:
the equation is : y = ax+b
the slope is a : a×(1/2) = -1......( perpendicular to a line with a slope of   1/2)            because :    -2x+4y =8...y=(1/2)x+2    )     


a = -2       y=(-2x+b
the line that passes through (2,1) :1 = -2(2)+b
b =5
 the equation is :  y  = -2x+5

ANSWERED AT 01/04/2020 - 01:25 PM


QUESTION POSTED AT 01/04/2020 - 01:25 PM

Write a compound interest function to model the following situation. Then, find the balance after the given number of years. $17,400 invested at a rate of 2.5% compounded annually; 8 years

Y=17400(1+0.025)^8 is your equation and with that you get $21200.21

ANSWERED AT 01/04/2020 - 01:24 PM


QUESTION POSTED AT 01/04/2020 - 01:24 PM

Can some one help me find the minimum, third quartile, first quartile, median and the max?

I'll walk you through the first one, and then you should be able to do the rest. 

The first step is to right out your numbers from least to greatest

Problem #1: 2,4,5,6,8,10,13,17,19,20

To find the MEDIAN, you're simply crossing out a number from each end until you meet in the middle. In this case, you have an even number of data, which means once you get to the middle, you're have to find the average.

In this problem, your two middle numbers are 8 & 10. Since only one number can be the median, you add them together, and divide by 2:

8+10=18  18/2=9 < this is your middle, or MEDIAN 

Next, your first and third quartiles--  they're the median of the lower half and data, and upper half. 

For the lower quartile, find the mean of 2,4,5,6, and 8. again, cross out one from each side until you get to the middle.  FIRST QUARTILE = 5

Do the same process for the upper half of data (10,13,17,19 & 20).
THIRD QUARTILE = 17

The MIN is the lowest number of data = 2
The MAX is the highest number of data = 20

Best of luck!

ANSWERED AT 01/04/2020 - 01:21 PM


QUESTION POSTED AT 01/04/2020 - 01:21 PM

The length of a rectangle is 3 feet less than twice the width. the area is 65 square feet. find the length and width

It's a lot to take in, isn't it ? I started off by confirming the formula a=lb

a=lb
65= (x×2)-3×x

l=(x×2)-3
b=x
a=65

Now I tried plugging in random values. Eventually I came up with this ;

65= (6.5×2)-3×6.5
65= 13-3×6.5
65 = 10×6.5
65=65

Length = 10feet
Width = 6.5feet

ANSWERED AT 01/04/2020 - 01:19 PM


QUESTION POSTED AT 01/04/2020 - 01:19 PM

Find the missing number of each unit rate

2/10 = 1/5 and 4/16 = 1/4

ANSWERED AT 01/04/2020 - 01:16 PM


QUESTION POSTED AT 01/04/2020 - 01:16 PM

F(x)= x^2-1 .Find the graph of f(2/3x)

Draw graph of f(x) = x^2-1
change scale on x-axis by 3/2
( 1 -> 3/2 , 2-> 3, 3->9/2, ... )

ANSWERED AT 31/03/2020 - 10:46 AM


QUESTION POSTED AT 31/03/2020 - 10:46 AM

Find the volume V of the cone

V=πr^2(h/3)
V≈804.25

Since the height is 12, and radius is 8, take the radius and square it. 8 squared equals 64. Now, take the height (12) and divide that by three. This equals 4. 

So Volume = Pi times 64 times 4. The answer should be 804.247. Once rounded, you should get 804.25

ANSWERED AT 31/03/2020 - 10:46 AM


QUESTION POSTED AT 31/03/2020 - 10:46 AM

Let the sequence {an} be defined so that a1 = 1 and each succeeding term is found by multiplying the one before it by 4. Find the formula representing an, the nth term of the sequence.

A₁ = 1 = 4⁰

a₂ = 4 =4¹

a₃ =4 x 4=4²

a₄ =4 x 4² =4³
...................
...................

a(n) = 4⁽ⁿ⁻¹⁾

ANSWERED AT 31/03/2020 - 10:44 AM


QUESTION POSTED AT 31/03/2020 - 10:44 AM

Find the first, fourth and eighth terms for a(n)=-3*2^n-1 please help!

1 is -3        4 is -24     8 is -384    I think that's right

ANSWERED AT 31/03/2020 - 10:42 AM


QUESTION POSTED AT 31/03/2020 - 10:42 AM

Explain how u find the area of the base of a pyramid

The base of the pyramid is a square. Area of a square
A= l x w

ANSWERED AT 31/03/2020 - 10:40 AM


QUESTION POSTED AT 31/03/2020 - 10:40 AM

Find the area of the shaded portion of the diagram (use 3.14 for p).A)220.16 square yardsB)6.88 square yardsC)55.04 square yardsD)13.76 square yards

Get the area of the circle. Use this formula: 
Area =  \pi * radius^2

We know the radius is 4 yards.

Area = 3.14 * 4^2
Area = 3.14 * 16
Area = 50.24

Now for the square. Double the radius to get the diameter to get the length of the side.

4 * 2 = 8

Formula for finding the area of a square is
Area = side^2

Area = 8^2
Area = 64

And because we only want to shaded portion, we will subtract the area of the circle from the square.

64 - 50.24 = 13.76

So, 
D) 13.76 square yards is the answer to this question.

ANSWERED AT 31/03/2020 - 10:38 AM


QUESTION POSTED AT 31/03/2020 - 10:38 AM

Can u help me find the prime number factors

8
4 2
2 2. The spaces mean multiply symbols

ANSWERED AT 31/03/2020 - 10:37 AM


QUESTION POSTED AT 31/03/2020 - 10:37 AM

I need help finding the other arc in order to solve for x

Hol up this seems rly hard Ima get back to uu

ANSWERED AT 30/03/2020 - 01:37 AM


QUESTION POSTED AT 30/03/2020 - 01:37 AM

Consider the vector v=(-7,8). What is the angle between v=(-7,8) and the positive x-axis? Part 1: Use the formula v1 x v2=|v1||v2|cos theta to find the cosine of the angle between the two vectors (-7,8) and (1,0).

(1) To find the angle between v and positive x-axis, we first determine the angle formed by v and the negative x-axis. Since v = (-7,8), its vertical measure y is 8 units and horizontal measure x is 7 units.

arctan(8/7) = 48.81°
Solving for angle between v and positive x-axis:
180° - 48.81° = 131.19°

(2) v1 x v2=|v1||v2|cosθ
Calculating for the dot product of the vector:
v1 x v2 = -7*1 + 8*0 = -7
Calculating vector magnitude:
|v1| = √(-7²+8²) = √113
|v2| = √(1²+0²) =1

cosθ = (v1 x v2) /|v1||v2| = -7/(√113 *1) = -0.659

ANSWERED AT 30/03/2020 - 01:28 AM


QUESTION POSTED AT 30/03/2020 - 01:28 AM

Help me start finding the angle measures

A=60
B=30
C=60
D=120
E=60
F=60

ANSWERED AT 29/03/2020 - 06:35 PM


QUESTION POSTED AT 29/03/2020 - 06:35 PM