If a rectangle has length x and width x+3, what is the perimeter of the rectangle in terms of x?
Answer:
[tex]4x+6[/tex] units
Step-by-step explanation:
Skills needed to solve: Order of Operations, Distributive Property, Perimeter Formula, Like Terms
1) To solve this problem, you need to understand the perimeter formula, and that is:
--> [tex]P = 2(L+W)[/tex]
P = Perimeter
L = Length
W = Width
2) Based on that, we are given that:
[tex]L = x[/tex] (since the length is x)
[tex]W = x+3[/tex] (since the width is x+3)
3) After that, we substitute in the values:
[tex]P = 2(L+W)[/tex]
[tex]P = 2(x+(x+3))[/tex]
[tex]x + (x+3) = x+x+3 = 2x+3[/tex] (with like terms and addition)
so: [tex]P=2(2x+3)[/tex]
Use distributive property, which is [tex]a(b+c) = ab+ac[/tex]
get: [tex]2(2x+3) = 2(2x) + 2(3)[/tex]
[tex]2(2x) = 4x[/tex]
[tex]2(3) = 6[/tex]
So: [tex]P = 4x+6[/tex]
Hope this helps and have a nice day!! :) :]
6x1/6 gente me ajudaaaa kakakkw e pra um teste de matematica
RESPONDE EM PORTUGUES PFV
6x1/6=6/6=1
---
hope it helps
Which of the following rational functions is graphed below?
Answer:
a
Step-by-step explanation:
X^(2)+8=5 exponent of variable in this equation is
Answer:
The exponent of the variable of this equation is 2.
And here's the solution to the equation:
[tex]x^{2} +8=5[/tex]
[tex]x^{2} = 5 - 8[/tex]
[tex]x^{2} = -3[/tex]
[tex]x[/tex] ∉ R
Can you help A B C Or D image is here
Answer:
A
Step-by-step explanation:
Why rotation, reflection, and translation are rigid motion?
Answer:
Reflections, translations, rotations, and combinations of these three transformations are "rigid transformations". ... A reflection is called a rigid transformation or isometry because the image is the same size and shape as the pre-image.
Hope it helps!!!
20% of what number is 30
Answer:
150
Step-by-step explanation:
20 percent of 150 is 30.
To check the answer... 150 times 0.2 is 30.
Answer:
150
20 percent of what number equals 30; Answer: 150.
Step-by-step explanation:
20% of what is 30?
Written using the formula: X = 30 ÷ 20%
Convert the percent to a decimal.
20% ÷ 100 = 0.2.
X = 30 ÷ 0.2.
X = 150.
So 20% of 150 is 30.
What is the measure of CED?
The measure of CED is p degree. By AA rule of similarity, Corresponding angles of similar triangles are same. Therefore the measure of CED is p degree.
PLEASE MARK BRAINLIST
Question 5 of 10
Which of the following graphs represents the equation y- 4 = 3(x - 1)?
А
B
C
5+(2,5)
5
(-1,2)
P(1,4
(1,2)
/(2, 1)
.5
.
5
15
1.2.1)
(1.-2)
(-1.-2)
-5
Answer:
a
Step-by-step explanation:
Pea plants contain two genes for seed color, each of which may be Y (for yellow seeds) or G (for green seeds). Plants that contain one of each type of gene are called heterozygous. According to a theory of genetics, if two heterozygous plants are crossed, each of their offspring will have probability 0.75 of having yellow seeds and probability 0.25 of having green seeds.
A) Out of 10 offspring of heterozygous plants, what is the probability that exactly 3 have green seeds?
B) Out of 10 offspring of heterozygous plants, what is the probability that more than 2 have green seeds?
C) Out of 100 offspring of heterozygous plants, what is the probability that more than 30 have green seeds?
D) Out of 100 offspring of heterozygous plants, what is the probability that between 30 and 35 inclusive have green seeds?
E) Out of 100 offspring of heterozygous plants, what is the probability that fewer than 80 have yellow seeds?
Answer:
a) 0.2503 = 25.03% probability that exactly 3 have green seeds.
b) 0.4744 = 47.44% probability that more than 2 have green seeds.
c) 0.1020 = 10.20% probability that more than 30 have green seeds.
d) 0.1414 = 14.14% probability that between 30 and 35 inclusive have green seeds.
e) 0.8508 = 85.05% probability that fewer than 80 have yellow seeds
Step-by-step explanation:
For questions a and b, the binomial probability distribution is used. For questions c, d and e, the binomial distribution is approximated to the normal.
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.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
A) Out of 10 offspring of heterozygous plants, what is the probability that exactly 3 have green seeds?
10 offspring of heterozygous plants means that [tex]n = 3[/tex]
Probability 0.25 of having green seeds means that [tex]p = 0.25[/tex]
This probability is P(X = 3). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{10,3}.(0.25)^{3}.(0.75)^{7} = 0.2503[/tex]
0.2503 = 25.03% probability that exactly 3 have green seeds.
B) Out of 10 offspring of heterozygous plants, what is the probability that more than 2 have green seeds?
This is
[tex]P(X > 2) = 1 - P(X \leq 2)[/tex]
In which
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{10,0}.(0.25)^{0}.(0.75)^{10} = 0.0563[/tex]
[tex]P(X = 1) = C_{10,1}.(0.25)^{1}.(0.75)^{9} = 0.1877[/tex]
[tex]P(X = 2) = C_{10,2}.(0.25)^{2}.(0.75)^{8} = 0.2816[/tex]
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0563 + 0.1877 + 0.2816 = 0.5256[/tex]
[tex]P(X > 2) = 1 - P(X \leq 2) = 1 - 0.5256 = 0.4744[/tex]
0.4744 = 47.44% probability that more than 2 have green seeds.
C) Out of 100 offspring of heterozygous plants, what is the probability that more than 30 have green seeds?
Now
[tex]n = 100[/tex]
[tex]\mu = E(x) = np = 100*0.25 = 25[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100*0.25*0.75} = 4.33[/tex]
Using continuity correction, this is [tex]P(X > 30 + 0.5) = P(X > 30.5)[/tex], which is 1 subtracted by the pvalue of Z when X = 30.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{30.5 - 25}{4.33}[/tex]
[tex]Z = 1.27[/tex]
[tex]Z = 1.27[/tex] has a pvalue of 0.8980
1 - 0.8980 = 0.1020
0.1020 = 10.20% probability that more than 30 have green seeds.
D) Out of 100 offspring of heterozygous plants, what is the probability that between 30 and 35 inclusive have green seeds?
Using continuity correction, this is [tex]P(30-0.5 \leq X \leq 35 + 0.5) = P(29.5 \leq X \leq 35.5)[/tex], which is the pvalue of Z when X = 35.5 subtracted by the pvalue of Z when X = 29.5.
X = 35.5
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{35.5 - 25}{4.33}[/tex]
[tex]Z = 2.42[/tex]
[tex]Z = 2.42[/tex] has a pvalue of 0.9922
X = 29.5
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{29.5 - 25}{4.33}[/tex]
[tex]Z = 1.04[/tex]
[tex]Z = 1.04[/tex] has a pvalue of 0.8508
0.9922 - 0.8508 = 0.1414
0.1414 = 14.14% probability that between 30 and 35 inclusive have green seeds.
E) Out of 100 offspring of heterozygous plants, what is the probability that fewer than 80 have yellow seeds?
0.75 probability of yellow seeds, so [tex]p = 0.75[/tex]. So
[tex]\mu = E(x) = np = 100*0.75 = 75[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100*0.75*0.25} = 4.33[/tex]
This probability is [tex]P(X < 80 - 0.5) = P(X < 79.5)[/tex], which is the pvalue of Z when X = 79.5.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{79.5 - 75}{4.33}[/tex]
[tex]Z = 1.04[/tex]
[tex]Z = 1.04[/tex] has a pvalue of 0.8508
0.8508 = 85.05% probability that fewer than 80 have yellow seeds
Un contratista que se dedica a la construcción de una casa descubrió que debía pagar: $ 1.100 al empapelador y al pintor $ 1.700 al pintor y al plomero $ 1.100 al plomero y al electricista $ 3.300 al electricista y al carpintero $ 5.300 al carpintero y al albañil $ 2.500 al albañil y al empapelador
Answer:
1.100+1.700+1=100+5.300+2..500
What is the greatest common factor of all the terms: 6m and 18
Answer: 6
Step-by-step explanation:
Make a conjecture. How are rigid transformations and congruent figures related? Check all that apply.
Rigid transformations preserve segment lengths and angle measures.
Rigid transformations produce congruent figures.
If two figures are congruent, then there is a rigid transformation or a combination of rigid transformations that will
map one onto the other.
Explain why the absolute value function y = |x| is an example of a piecewise function
If 15 people can fit comfortably in a 5 ftby 5 squarewhat is the ratio of the people to the rectangle's area ?
Answer: 15:25
Step-by-step explanation: the number of people is 15 and the area would be 25
Which expression has a lesser value than -10? a. 8+ (-12)
b. – 14 – 2 + 8
c. 4-(-12)
d. - 2 +(- 12) + 2
please show work!
Answer:
D
Step-by-step explanation:
Which expression has a lesser value than -10?
a. 8+ (-12)= -4
b. – 14 – 2 + 8= -16+8= -8
c. 4-(-12)= 16
d. - 2 +(- 12) + 2 = -12
Answer:
Step-by-step explanation:
a.
8 +(-12) = 8-12 = -4
-4 > -10
b.
14-2+8 = 12+8 = 20
20 > -10
c.
4-(-12) = 4+12 = 16
16 > -10
d.
-2+(-12)+2 = -2-12+2 = -14+2 = -12
-12 < -10
Mindy is playing a game. She notices that the ratio of red tokens to purple tokens is 2 to 3. She counts 6 red tokens. Draw numbers to complete the diagram to the number of purple tokens. Numbers may be used once, more than once, or not at all.
A piece of rope 6.54 metres long is cut
into two pieces. One piece is twice as
long as the other. What is the length of
the longest piece?
A golf instructor offers 1-hour private lessons from 2 pm to 6 pm every Saturday afternoon. His hourly rate is $60. The instructor takes appointments during the weekdays. Recently, the instructor receives quite a few late cancellations in Saturday morning. He can do nothing given the short notice. Therefore, the instructor institutes an overbooking policy. In case a customer cannot be served, the instructor will give a $40 certificate (he buys it from the golf club) for a free round of golf. The number of no-shows can be 1, 2, 3, or 4, each with a probability of 0.25. How many reservations should the instructor take
Answer:
The answer is 8.
Step-by-step explanation:
He is guaranteed to make $240 between 2 and 6 pm every Saturday afternoon. For each time that both of the 2 customers booked for the same hour does not cancel, he earns only $20. Considering that the probability of cancellation is 25%, if he books 8 customers for the 4 hour period on Saturday afternoon, he is making an extra $80 which bumps up his total earnings to $320. If he accepts any booking after 8, each is going to cost him $40. So the total number of reservations he should take is 8.
I hope this answer helps.
4(A) The table given shows the change in price in a sale.
TV
Laptop
Normal
Dhs 2000
Dhs 1800
price
Sale price
Dhs 1750
Dhs 1440
(a) Calculate the percentage increase or decrease for
(0) TV and
) Laptop
(b) Which item has the best reduced price?
Cho can anyone help me
Answer:
(a)
[tex]\%Decrease= 12.5\%[/tex] --- TV
[tex]\%Decrease= 20\%[/tex] --- Laptop
(b) Laptop
Step-by-step explanation:
Given
Normal Sales
[tex]TV = 2000[/tex] [tex]TV = 1750[/tex]
[tex]Laptop = 1800[/tex] [tex]Laptop = 1440[/tex]
Solving (a): Percentage increase of decrease for both
Percentage change is calculated as:
[tex]\%Change = \frac{New - Old}{Old} * 100\%[/tex]
For TV
[tex]\%Change = \frac{1750 - 2000}{2000} * 100\%[/tex]
[tex]\%Change = \frac{-250}{2000} * 100\%[/tex]
[tex]\%Change = -0.125* 100\%[/tex]
[tex]\%Change = -12.5\%[/tex]
It is a decrease because it is negative
[tex]\%Decrease= 12.5\%[/tex]
For Laptop
[tex]\%Change = \frac{1440 - 1800}{1800} * 100\%[/tex]
[tex]\%Change = \frac{-360}{1800} * 100\%[/tex]
[tex]\%Change = -0.2* 100\%[/tex]
[tex]\%Change = -20\%[/tex]
It is a decrease because it is negative
[tex]\%Decrease= 20\%[/tex]
Solving (b):
Laptop has the best reduced price because it has a larger percentage decrease
4. Marcos wants to paint his skateboard ramp shown below. What is the total surface area of the skateboard ramp?
Answer:
yshshhshs
Step-by-step explanation:
shhshshsbbs
For the function f(x) = 1/2 x + 1
Find f(2)
Answer:
f(2) =2
Step-by-step explanation:
f(x) = 1/2 x + 1
Let x= 2
f(2) = 1/2 *2 +1
=1 +1
=2
HELP ASAP I NEED HELP WITH THIS
Answer: 10/27
Step-by-step explanation:
Your multiplying the top and bottom yw :)
Answer:
I GOT YOU I GOT YOU
THE ANSWER IS 10/27
Ok so can y'all do this? 8n = 240
Answer:
n= 30
Step-by-step explanation:
240 divided by 8 is 30
Answer:
n equals 30
Step-by-step explanation:
What is the feet....
Answer: 29 feet from across the kitchen to one hole to the other.
Please answer quick just super small explanation pls hurry quick for brainlessly
A jewelry store offers its own brand of customizable charm bracelets. You are able to choose from 9
different charms for your bracelet.
How many different charm bracelets is it possible to create?
Answer:
It depends on the number of charms that your bracelet can have.
here we need to count the number of selections that we have, and the number of options for each one of these selections.
So if we can have only one charm, we have only one selection, and for that selection, we have 9 options, then there are 9 different one-charm bracelets.
If each bracelet can have 2 charms then we have two selections.
For the first selection, we have 9 options,
If each charm can be selected only one time, then for the next selection we will have 8 options, now the total number of combinations is equal to the product between the numbers of options for each selection, so here the total number of combinations is:
C = 9*8 = 72
If we can select 3 charms, then:
first charm = 9 options
second charm = 8 options
third charm = 7 options
Total number of combinations = 9*8*7 = 504 combinations.
Notice that we can not give an exact answer because we do not know the number of charms in each bracelet and we do not know if a charm can be selected multiple times or only one, but here you could see the general way to solve this kind of problems.
giving brainliest *easy*
Answer:
pi
Step-by-step explanation:
to convert angles to radians you must multiply the angle measurement by the formula pi/180
180 x pi/180
the 180s cancel out and you are left with pi
Answer:
3.14159 Radian
Step-by-step explanation:
3.142rad × 180/π = 180°
Which inequality represents: 3 is less than y minus 2
Answer:
3>y-2
Step-by-step explanation:
your welcome i think
Help with 1-2 please
Answer: 1) 70° 2) x = 55
Step-by-step explanation:
1) If m∠1 = 70°,then m∠8 = 70°.
Because m∠8 is the vertical angle of m∠5, and m∠5 is the corresponding angle of m∠1, which means that m∠8 = m∠1 = 70°. And also m∠1 and m∠8 are alternate exterior angles, they equal to each other.
2) m∠4 = 70°, and m∠7 = 2x, then m∠4 + m∠7 = 180°,because they are consecutive interior angles.
m∠4 + m∠7 = 180°
70 + 2x = 180
2x = 110
x = 55
