Need a step by step answer please
Answer:
x=10
Step-by-step explanation:
x+2+x=22
combine like terms x + x to get 2x:
2x + 2 = 22
subtract 2 on both sides:
2x = 20
divide by 2 on both sides to isolate x:
x=10
The equation P = 6s represents the perimeter P of a regular hexagon with side length s. What is the perimeter of a regular hexagon with side length 7 m?
Answer: 42
Step-by-step explanation:
The required perimeter of the regular hexagon is 42 m.
Given that,
The equation P = 6s represents the perimeter P of a regular hexagon with side length s. What is the perimeter of a regular hexagon with side length 7 m is to be determined.
Perimeter is the measure of the figure on its circumference.
here,
the perimeter of the regular hexagon is given,
P = 6s
Put s = 7
P = 6(7)
p = 42
Thus, the required perimeter of the regular hexagon is 42 m.
Learn more about perimeter here:
brainly.com/question/6465134
#SPJ2
Please help me, I am sorry that I’m so terrible at math
Answer:
x[tex]\leq[/tex]3
Step-by-step explanation:
hope this helps
Answer:
-6 <x< 3 or x<3, x<-6
Step-by-step explanation:
-18 < 4x +6 < 18
-18-6 <4x< 18-6
-24 <4x< 12
-24/4 <x< 12/4
-6 <x< 3
hope this help you
A student takes a multiple-choice test that has 10 questions. Each question has four choices. The student guesses randomly at each answer. Let X be the number of questions the student gets correct. (a) Find P(X = 3). (b) Find P(X > 2). (c) To pass the test, the student must answer 7 or more questions correctly. Would it be unusual for the student to pass? Explain.
Answer:
1)0.2502
2)0.475
3)0.003505
Step-by-step explanation:
Total No. of question n= 10
There are four choices in each question
So, Probability of success [tex]p = \frac{1}{4}[/tex]
Probability of failure q = [tex]1- \frac{1}{4}=\frac{3}{4}[/tex]
We will use binomial over here
[tex]P(X=x)=^nC_r p^r q^{n-r}[/tex]
1)
[tex]P(X = 3)=^{10}C_3 (\frac{1}{4})^3 (\frac{3}{4})^7\\P(X = 3)=\frac{10!}{3!7!} (\frac{1}{4})^3 (\frac{3}{4})^7\\P(X = 3)=0.2502[/tex]
2) [tex]P(X > 2)=1-P(X\leq 2)[/tex]
P(X>2)=1-(P(X=0)+P(X=1)+P(X=2))
[tex]P(X>2)=1-(^{10}C_0 (\frac{1}{4})^0 (\frac{3}{4})^{10}+(^{10}C_1 (\frac{1}{4})^1 (\frac{3}{4})^9+^{10}C_2 (\frac{1}{4})^2 (\frac{3}{4})^8)[/tex]
[tex]P(X>2)=1-((\frac{1}{4})^0 (\frac{3}{4})^{10}+(\frac{10!}{1!9!} (\frac{1}{4})^1 (\frac{3}{4})^9+\frac{10!}{2!8!} (\frac{1}{4})^2 (\frac{3}{4})^8)[/tex]
P(X>2)=0.475
3)
[tex]P(X\geq 7)=P(X=7)+P(X=8)+P(X=9)+P(X=10)\\\\P(X\geq 7)=^{10}C_7 (\frac{1}{4})^7 (\frac{3}{4})^{3}+(^{10}C_8 (\frac{1}{4})^8 (\frac{3}{4})^2+^{10}C_9 (\frac{1}{4})^9 (\frac{3}{4})^1+^{10}C_{10} (\frac{1}{4})^{10} (\frac{3}{4})^0\\\\P(X\geq 7)=\frac{10!}{7!3!} (\frac{1}{4})^7 (\frac{3}{4})^{3}+\frac{10!}{8!2!} (\frac{1}{4})^8 (\frac{3}{4})^2+\frac{10!}{9!1!} (\frac{1}{4})^9 (\frac{3}{4})^1+\frac{10!}{10!0!}(\frac{1}{4})^{10} (\frac{3}{4})^0\\\\P(X\geq 7)=0.003505[/tex]
2^4x4^4=2^4x2^n=2^12
Answer:
don''t knw
Step-by-step explanation:
Find the volume of the solid under the plane 3x + 5y − z = 0 and above the region bounded by y = x and y = x4.
Answer:
13/18
Step-by-step explanation:
See attachment
HELP PLSSS . Miley is purchasing several yards of fabric for a school project. If she spent $13.41 and the fabric was $2.98 per yard, how many yards did she purchase?
Answer:
4.5 yards of fabric.
Step-by-step explanation:
In order to find out how many yards she purchased, you need to divide the money she spent by the price of fabric per yard. Therefore, you divide
13.41/2.98=4.5
4.5 yards of fabric
A food-protection agency counts the number of insect heads found per 100-gram batch of wheat flour. The researchers have 500 batches, and they want to know whether the frequency of insect heads in batches follows a distribution called a Poisson distribution. To generate the expected frequencies of batches with different numbers of insect heads under a Poisson distribution, they had to estimate the mean number of insect heads per batch from the data. The 500 batches included at least 5 batches having 0, 1, 2, 3, or 4 insect heads. No batches had more than four heads. Given this information, there are_____classes (k).
Answer:
The correct answer is k = 5.
Step-by-step explanation:
The Chi-square goodness of fit test would be used to determine whether the frequency of insect heads in batches follows a distribution called a Poisson distribution.
The hypothesis for the test can be defined as follows:
H₀: The frequency of insect heads in batches does not follows a Poisson distribution.
Hₐ: The frequency of insect heads in batches follows a Poisson distribution.
Assume that the significance level of the test is, α = 0.05.
The Chi-square test statistic is given by:
[tex]\chi^{2}=\sum\limits^{k}_{i=1}\frac{(O_{i}-E_{i})^{2}}{E_{i}}[/tex]
It is provided that the 500 batches included at least 5 batches having 0, 1, 2, 3, or 4 insect heads. No batches had more than four heads.
So, the number of classes or categories are, k = 5.
Thus, the correct answer is k = 5.
Restless Leg Syndrome and Fibromyalgia
People with restless leg syndrome have a strong urge to move their legs to stop uncomfortable sensations. People with fibromyalgia suffer pain and tenderness in joints throughout the body. A recent study indicates that people with fibromyalgia are much more likely to have restless leg syndrome than people without the disease. The study indicates that, for people with fibromyalgia, the probability is 0.33 of having restless leg syndrome, while for people without fibromyalgia, the probability is 0.03. About 2% of the population has fibromyalgia. Create a tree diagram from this information and use it to find the probability that a person with restless leg syndrome has fibromyalgia.
Answer:
The probability that a person with restless leg syndrome has fibromyalgia is 0.183.
Step-by-step explanation:
Denote the events as follows:
F = a person with fibromyalgia
R = a person having restless leg syndrome
The information provided is as follows:
P (R | F) = 0.33
P (R | F') = 0.03
P (F) = 0.02
Consider the tree diagram attached below.
Compute the probability that a person with restless leg syndrome has fibromyalgia as follows:
[tex]P(F|R)=\frac{P(R|F)P(F)}{P(R|F)P(F)+P(R|F')P(F')}[/tex]
[tex]=\frac{(0.33\times 0.02)}{(0.33\times 0.02)+(0.03\times 0.98)}\\\\=\frac{0.0066}{0.0066+0.0294}\\\\=0.183333\\\\\approx 0.183[/tex]
Thus, the probability that a person with restless leg syndrome has fibromyalgia is 0.183.
What is the midpoint between 10,-3 and -4,-9
Answer:
(3,3)
Step-by-step explanation:
Use the midpoint formula to find your answer. The formula is [tex](x_{1} +x_{2} /2; y_{1} +y_{2} /2)[/tex].
If that equation looks funny then let me explain. You need to add 10 and -4 together, then divide it by 2. You also need to add -3 and -9, then divide that by 2.
The point (2,0) lies on the graph of the function y = 2x^2 - 8x + 6.
A. True
B. False
Which transformation of a shape may result in a new shape not congruent with the original shape?
O dilation
O reflection
O rotation
O translation
Answer:
dilation
Step-by-step explanation:
dilation will make the shape larger or smaller which will change the shape.
Check the statements that are true.
A. An arithmetic sequence is a linear function whose domain is restricted to the set of non-negative integers.
B. A geometric sequence is a linear function whose domain is restricted to the set of non-negative integers.
C. An arithmetic sequence is an exponential function whose domain is restricted to the set of non-negative integers.
D. A geometric sequence is an exponential function whose domain is restricted to the set of non-negative integers.
Answer:
A and D.
Step-by-step explanation:
A sequence is a set of the objects or numbers in a specific order. It is a function whose domain is a set of natural numbers or non-negative integers i.e. {1, 2, 3,..}
(A)
"An arithmetic sequence is a linear function whose domain is restricted to the set of non-negative integers."
The general form an arithmetic sequence is:
[tex]a_{n}=a_{1}+(n-1)d[/tex]
The function is linear. The sequence consists of either numbers that are increasing or decreasing based on the value of d, the common difference.
So, the statement provided is True.
(D)
"A geometric sequence is an exponential function whose domain is restricted to the set of non-negative integers."
The general form an geometric sequence is:
[tex]a_{n}=a_{1}\cdot r^{n-1}[/tex]
The function is exponential. The sequence consists of either numbers that are exponentially increasing or decreasing by the factor r, the common ratio.
So, the statement provided is True.
in exercises 15-20 find the vector component of u along a and the vecomponent of u orthogonal to a u=(2,1,1,2) a=(4,-4,2,-2)
Answer:
The component of [tex]\vec u[/tex] orthogonal to [tex]\vec a[/tex] is [tex]\vec u_{\perp\,\vec a} = \left(\frac{9}{5},\frac{6}{5},\frac{9}{10},\frac{21}{10}\right)[/tex].
Step-by-step explanation:
Let [tex]\vec u[/tex] and [tex]\vec a[/tex], from Linear Algebra we get that component of [tex]\vec u[/tex] parallel to [tex]\vec a[/tex] by using this formula:
[tex]\vec u_{\parallel \,\vec a} = \frac{\vec u \bullet\vec a}{\|\vec a\|^{2}} \cdot \vec a[/tex] (Eq. 1)
Where [tex]\|\vec a\|[/tex] is the norm of [tex]\vec a[/tex], which is equal to [tex]\|\vec a\| = \sqrt{\vec a\bullet \vec a}[/tex]. (Eq. 2)
If we know that [tex]\vec u =(2,1,1,2)[/tex] and [tex]\vec a=(4,-4,2,-2)[/tex], then we get that vector component of [tex]\vec u[/tex] parallel to [tex]\vec a[/tex] is:
[tex]\vec u_{\parallel\,\vec a} = \left[\frac{(2)\cdot (4)+(1)\cdot (-4)+(1)\cdot (2)+(2)\cdot (-2)}{4^{2}+(-4)^{2}+2^{2}+(-2)^{2}} \right]\cdot (4,-4,2,-2)[/tex]
[tex]\vec u_{\parallel\,\vec a} =\frac{1}{20}\cdot (4,-4,2,-2)[/tex]
[tex]\vec u_{\parallel\,\vec a} =\left(\frac{1}{5},-\frac{1}{5},\frac{1}{10},-\frac{1}{10} \right)[/tex]
Lastly, we find the vector component of [tex]\vec u[/tex] orthogonal to [tex]\vec a[/tex] by applying this vector sum identity:
[tex]\vec u_{\perp\,\vec a} = \vec u - \vec u_{\parallel\,\vec a}[/tex] (Eq. 3)
If we get that [tex]\vec u =(2,1,1,2)[/tex] and [tex]\vec u_{\parallel\,\vec a} =\left(\frac{1}{5},-\frac{1}{5},\frac{1}{10},-\frac{1}{10} \right)[/tex], the vector component of [tex]\vec u[/tex] is:
[tex]\vec u_{\perp\,\vec a} = (2,1,1,2)-\left(\frac{1}{5},-\frac{1}{5},\frac{1}{10},-\frac{1}{10} \right)[/tex]
[tex]\vec u_{\perp\,\vec a} = \left(\frac{9}{5},\frac{6}{5},\frac{9}{10},\frac{21}{10}\right)[/tex]
The component of [tex]\vec u[/tex] orthogonal to [tex]\vec a[/tex] is [tex]\vec u_{\perp\,\vec a} = \left(\frac{9}{5},\frac{6}{5},\frac{9}{10},\frac{21}{10}\right)[/tex].
2.) What is the perimeter of a polygon with vertices at (-3, 1), (5, 1), (-3, 4), (5, 4)?
Answer:
33.1 units
Step-by-step explanation:
The formula to find the sides of an shape when given vertices is
= √(x2 - x1)² + (y2 - y1)²
When we have:(x1, y1) and (x2, y2)
(-3, 1), (5, 1), (-3, 4), (5, 4)
For (-3, 1), (5, 1)
= √(5 - (-3))² + (1 -1)²
= √8² + 0²
= √64
= 8 units
For (5, 1), (-3, 4)
= √(-3 - 5)² + (4 - 1)²
= √-8² + 3²
= √64 + 9
= √73 units
For (-3, 4), (5, 4)
= √(5 - (-3))² + (4 - 4)²
= √8² + 0²
= √64
= 8 units
For (-3, 1), (5, 4)
= √(-3 - 5)² + (4- 1)²
= √8² + 3²
= √64 + 9
= √ 73 units
Perimeter of the Polygon:
=( 8 + √73 + 8 + √73) units
= 33.088007491 units
≈ 33.1 units
Terminating vs. Repeating
Some rational number, such as 1/2, 3/8, and 2/5 have a finite
decimal (terminating decimal); while others, such as 1/3, have
infinite decimal representation (repeating decimal).
For which positive whole numbers, n, is the decimal
representation of 1/n finite? For which is it infinite? Describe
the pattern, if there is one.
Answer:
If the positive whole number is a multiple of 3, one divided by that number will always be a non-terminating decimal.
What is an equation of the line that passes through the points (-3,-5) and
(-3,-8)?
Answer:
x = -3
Step-by-step explanation:
The line just passes through x = -3 so, it's parallel to the Y-vector.
А At a concessan stand l hot dog and one hamburger cost $4.One hotdog and
5
Hamburgers cost $13
Find the cost of one hot dog and the cost of one hamburger ?
Answer:
2.25
Step-by-step explanation:
let x be cost of a hotdog
let y be cost of hamburger
so,
5x + 4y = 17.75 eq. 1
4x + 5y = 18.25 eq. 2
manipulate eq. 1 so solve for x:
5x = 17.75 - 4y
x = 17.75/5 - (4/5)y
x = 3.55 - (4/5)y eq. 3
substitute eq. 3 to eq. 2:
4(3.55 - (4/5)y) + 5y = 18.25
14.2 - (16/5)y + 5y = 18.25
14.2 + (9/5)y = 18.25
(9/5)y = 18.25 - 14.2
4.05= (9/5)y
y = 2.25
x = 3.55 - (4/5)(2.25)
x = 1.75
hotdog costs $1.75
hamburger costs $2.25
. If BC=46.5 and AC=82.3 Find AB.
2.1 + 1.4 Find The Sum :)
Please someone explain how to solve for x.
Answer:
x =30
Step-by-step explanation:
We can use ratios to solve
18 20
--------- = ----------
18+27 20+x
Simplify
18 20
--------- = ----------
45 20+x
Using cross products
18 *(20+x) = 20*45
18 ( 20+x) = 900
Divide each side by 18
18 /18*(20+x) = 900/18
20+x =50
Subtract 20 from each side
20+x-20 = 50-20
x=30
Answer:
30
Step-by-step explanation:
to solve this type of problem you need to cross multiply.So you get the pairs which are 18 and 20 and 27 and x so the equation looks like 18/20=27/x so 18 times x is 18x and 20 times 27 is 540 so the equation is now 18c=540 then you divide both sides by 18 so x will be isolated which means x will be by itself so 18x divided by 18 is x and 540 divided by 18 is 30 so the equation is now x=30
the sum of a interior angle measures of a polygon is 5220. How many sides does the polygon have
9514 1404 393
Answer:
31
Step-by-step explanation:
The relationship between sides and the sum of angles is ...
sum of angles = (sides - 2)·180°
Filling in the given value and solving for "sides", we get ...
5220 = (sides -2)180
29 = sides -2 . . . . . . . . . divide by 180
31 = sides . . . . . . . . . . . . add 2
The polygon has 31 sides.
Answer:
31
Step-by-step explanation:
5220/180=29+2=31
grrrrrr please help i’ll give u a cookie :)
im only in 6th grade
Step-by-step explanation:
Let f(x) = 5^x Find f(-3).
what did you guys get?
Answer:
I got 1/125
Step-by-step explanation:
Chris has 12 sweets. He has 3 red, 6 blue, 1 yellow and 2 green sweets what fraction of his sweets is red
Answer:
He has had a quarter of the red one
Step-by-step explanation:
3/12 is 1/4 when simplified
Need Help. ( Look at the picture). Will Mark Brainliest. Graph the step function over the interval. And you can just write the steps out also. Working on it now but really need help please asap.
Answer:
x = -3
Step-by-step explanation:
f(x) = x + 3
0 = x + 3
-x = 3
x = -3
one fourth of a number is 12 find the number
Answer:
48
Step-by-step explanation:
If 12 is one-fourth of a number, just multiply 12 by four to find the whole number.
12 x 4 = 48
You could have also set this up as an equation
12 = 1/4x
And then divide 12 by one-fourth
12/(1/4) = 48
Can someone help me plz
Answer:
7.y-side by side
8.n-lines don't cross, not vertical
9.n-don't equal 90 degrees
10.n-don't equal 180 degrees
11.AOB
12.COE
13.EOD
14.DOC
15.DOC, BOA
Step-by-step explanation:
a cylinder made of metal has radius of 18 cm and height 40 cm if melted how many smaller cylinders of radius 2 cm and height 5 cm can be made
Answer:
648
Step-by-step explanation:
Volume of a cylinder =Pi× r²×h
volume of the cylinder before melted
v=Pi×18²×40
v=40715.04cm³
Volume of the smaller cylinder
v=Pi×2²×5
v=62.83
40715.04÷62.83
=648.019
=648 small cylinder can be made
Where do you put the parentheses in this equation
9+5÷5+2
Value:2
I am not good at math and this is for my 5th grader
Answer:
here we go.....
Step-by-step explanation:
9+5 equals14 5 +2 equals 7
14 divided by 7 equals 2
hope you get it correct