Answer:
(m+3) (m+5)
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.
PLZZZ HELP
Triangle GHI is similar to triangle JKL. Find the measure of side KL Round your
answer to the nearest tenth if necessary.
8
L
H
K
need help geometry question central angles and arcs???pls
Answer:
84.96 G
Step-by-step explanation:
cuz im connected to einstine and im smart like him
6x1/6 gente me ajudaaaa kakakkw e pra um teste de matematica
RESPONDE EM PORTUGUES PFV
6x1/6=6/6=1
---
hope it helps
Please answer quick just super small explanation pls hurry quick for brainlessly
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:
ill mark brainlist plss help
Answer:
A rectangle
Step-by-step explanation:
A rectangle is a quadrilateral ( 4 sided shape) and the opposite sides are always congruent therefore the answer is rectangle
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
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 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.
What is the greatest common factor of all the terms: 6m and 18
Answer: 6
Step-by-step explanation:
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!! :) :]
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
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
the illustration below shows the graph of y as a function of x complete the following sentences based on the graph of the function
Answer:
*This is the graph of a [NON-LINEAR].
*The y-intercept of the graph is the function value y=[0]. *The smallest positive x-intercept of the graph is located at x=[π/2]. *The greatest value of y is y=[2]. *For x between x= -π and x= -π/2, the function value y[>]0.
This is the graph of a sin function.
The y-intercept of the graph is the function value y = 0
The smallest positive x-intercept of the graph is located at x = π/2
The greatest value of y is y = 2
For a between x = -π and x = -π/2 the function value y > 0
How to identify sin functionsA sine function graph represents the behavior of the sine function over a specific interval. The graph of a sine function has the following characteristics:
Shape: The graph of a sine function resembles a wave. It consists of a series of repeated crests (peaks) and troughs (valleys) that oscillate above and below a central line called the midline.
Period: The graph repeats itself over a specific interval called the period. The standard period of the sine function is 2π radians or 360 degrees. This means that the graph completes one full wave cycle in this interval.
Amplitude: The amplitude determines the vertical distance between the midline and the maximum or minimum points of the graph. It represents the maximum deviation of the function from the midline. The amplitude of the sine function is always positive.
Midline: The midline is the horizontal line that the sine function oscillates around. It is located between the maximum and minimum points of the graph and has a constant y-value.
Learn more about sin function at
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Which inequality represents: 3 is less than y minus 2
Answer:
3>y-2
Step-by-step explanation:
your welcome i think
MULTIPLE CHOICE PLS ANSWER THANKS
Answer:
I think answer is B
B.10x+150=180
Write the recurring decimal 0.67
as a fraction
2/3 I hope this helps!! :3
What is the feet....
Answer: 29 feet from across the kitchen to one hole to the other.
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°
if anyone know the answers to this question i really need help.
Answer:
b.) 6
Step-by-step explanation:
2^6 = 64 because 2 * 2 * 2 * 2 * 2 * 2 = 64.
PLEASE HELP ME!!!! HOW DO I GRAPH THIS??????
Answer:
draw the picture then put a box around it and label the body parts and that fun stuff
The table shows the rates for sending text messages. Are the rates proportional? Explain.
Answer:
Yes
Step-by-step explanation:
Remember in order for the rates to be proportional it has to have a constant rate of change and it has to go through the origin if graphed
For one this has a constant rate of change which is 3 dollars per 25 messages
Now we just have to find out if it would go through the origin (0,0)
To do so we subtract 3 dollars and then 25 messages
6-3=3
50 - 25 =25
then again 25-25=0
3-3=0
concluding that (0,0) is a solution
Thus meaning that this is a proportional relationship
Solve the exponential equations: 2^3x =11
Answer:
x = 3
Step-by-step explanation:
2 + 3x = 11
3x = 11 - 2
3x = 9 (divide both sides by 3 to get x)
3x/3 = 9/3
x = 3
In the given exponential equations: [tex]2^3x[/tex] = 11, the value of x is [tex]\frac{log_211}{3}[/tex].
Mathematically, an equation is a statement that asserts the equivalency of two expressions. It consists of two hands, the left-hand side( LHS) and the right-hand side( RHS), separated by an equal sign( =). The LHS and RHS can be numbers, variables, constants, or further complex fine expressions.
Equations can be classified based on their degree, which corresponds to the highest power of the variables involved. For example, linear equations have a degree of 1, quadratic equations have a degree of 2, and so on.
Given the equation:
[tex]2^3^x[/tex] = 11
Take the logarithm of both sides,
log [tex]2^3^x[/tex] = log 11
3x log2 = log 11
3x = [tex]\frac{log 11}{log2}[/tex]
3x = [tex]log_211[/tex]
x = [tex]\frac{log_211}{3}[/tex].
So, the value of x is [tex]\frac{log_211}{3}[/tex].
Learn more about Equations here:
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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!!!
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
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
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
Solve
Root 3x+5 - root x-1 =0
Answer:
undefined
Step-by-step explanation:
3x+5=x-1
2x=-6
x=-3
but when u check its undefined
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.
