Write the coordinates of the vertices after a rotation of 90 degrees counterclockwise around the origin.
Answers
Answer:
U(2, 7) → U'(-7, 2)
V(10, 7) → V'(-7, 10)
W(2, 3) → W'(-3, 2)
Step-by-step explanation:
From the picture attached,
Coordinates of the vertices of the given triangle,
U → (2, 7)
V → (10. 7)
W → (2, 3)
Since rule for the coordinates of a point P(x, y) after a rotation of 90° counterclockwise about the origin is,
P(x, y) → P'(-y, x)
Here point P is the preimage and P' is the image point after rotation.
By this rule,
U(2, 7) → U'(-7, 2)
V(10, 7) → V'(-7, 10)
W(2, 3) → W'(-3, 2)
Related Questions
What is the probability of picking a rod marble at
random?
What is the probability of picking'a red marble at
random, and without replacing it, then picking a blue
one?
Answers
Answer:
1) 7/12
2) 35/132
Step-by-step explanation:
1) 7/12
2) 7/12x5/11=35/132
The formula is T = L/S, where T is the time in seconds, L is the length of the tape in inches, and S is the operating speed in inches per second. How long a tape does a police officer need to record a 2-minute confession at an operating speed of 3 1/2 inches per second?
Answers
Answer:
im not sure im sorry
Step-by-step explanation:
not sure
Amphibian populations are in decline worldwide due to the increasing prevalence of ranavirus infections. Herpetologists (those that study amphibians and reptiles) are especially concerned with how ranavirus infections may be affecting Ozark and eastern hellbender populations.
Suppose both populations of hellbenders are known to have ranavirus infections at a rate of 25%. Suppose a random sample of size 118 is taken of the eastern hellbender population and a random sample of size 177 is taken of the Ozark hellbender population. Every hellbender in each sample is tested for ranavirus, and the sample proportions for each of the two samples are calculated.
Required:
Which of the two sample proportions is more likely to exceed 22% ?
Answers
Answer:
The sample proportion of size 177 is more likely to exceed 22%.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal 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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Suppose both populations of hellbenders are known to have ranavirus infections at a rate of 25%.
This means that [tex]\mu = p = 0.25[/tex]
Sample of size 118:
[tex]n = 118, so [tex]s = \sqrt{\frac{0.25*0.75}{118}} = 0.0399[/tex]
Probability of sample proportion above 22%.
This is 1 subtracted by the pvalue of Z when X = 0.22. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.22 - 0.25}{0.0399}[/tex]
[tex]Z = -0.75[/tex]
[tex]Z = -0.75[/tex] has a pvalue of 0.2266
1 - 0.2266 = 0.7734
0.7734% probability that a random sample of size 118 exceeds 22%.
Sample of size 177:
[tex]n = 177, so [tex]s = \sqrt{\frac{0.25*0.75}{118}} = 0.0325[/tex]
Probability of sample proportion above 22%.
This is 1 subtracted by the pvalue of Z when X = 0.22. So
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.22 - 0.25}{0.0325}[/tex]
[tex]Z = -0.92[/tex]
[tex]Z = -0.92[/tex] has a pvalue of 0.1788
1 - 0.1788 = 0.8212
0.8212 = 82.12% probability that a random sample of size 177 exceeds 22%.
82.12% > 77.34%, so the sample proportion of size 177 is more likely to exceed 22%.
The sample proportion that is more likely to exceed 22% is; the sample proportion with a sample size of 177
Central Limit Theorem
We are given;
Population proportion; p = 25% = 0.25
Now, in central limit theorem, the formula for standard deviation is;
σ = √(p(1 - p)/n)
For a sample size of 118, we have;
σ = √(0.25(1 - 0.25)/118)
σ = √0.001588983
σ = 0.03986
Similarly, for a sample size of 177, we have;
σ = √(0.25(1 - 0.25)/177)
σ = √0.001059322
σ = 0.032547
Since we want to find which of the two sample proportions will likely exceed 22% which is p₀ = 0.2, we will use the formula;
z = (p₀ - p)/σ
For sample size of 118, we have;
z = (0.22 - 0.25)/0.03986
z = -0.75
From online p-value from z-score calculator, we have;
p-value = 0.7734 or 77.34%
For sample size of 177, we have;
z = (0.22 - 0.25)/0.032547
z = -0.92
From online p-value from z-score calculator, we have;
p-value = 0.8212 or 82.12%
The p-value of the sample of 177 is higher than the p-value for the sample of 118 and so we can say that the sample proportion with a sample size of 177 is more likely to exceed 22%
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What is the value of the angle x?
Answers
Explanation: you would take 180-114 and that would give you an angle of 66
5. If the covariance between the variables x and y is 18 and the variance
of x and y are 16 and 81 respectively. Find the coefficient of
correlation.
Answers
Answer:
The coefficient of correlation=0.5
Step-by-step explanation:
We are given that
Covariance between the variable x and y=18
Variance of x=16
Variance of y=81
We have to find the coefficient of correlation
We know that
Coefficient of correlation
[tex]r=\frac{covariance(x,y)}{\sqrt{variance(x)}\times \sqrt{variance(y)}}[/tex]
Using the formula
[tex]r=\frac{18}{\sqrt{16}\times \sqrt{81}}[/tex]
[tex]r=\frac{18}{4\times 9}[/tex]
[tex]r=0.5[/tex]
Hence, the coefficient of correlation=0.5
15. Ken is planting vegetables in his garden, He has
20 seeds Determine whether 20 is a prime or
composite number if it is composite, list all of the
ways ken can arrange the seeds in even rows,
Answers
Answer:
20 is a composite number.
Ways that can be arranged:
5 x 4
10 x 2
20 x 1
Answer:
Once upon a time, there was a flock of doves that flew in search of food led by their king. One day, they had flown a long distance and were very tired. The dove king encouraged them to fly a little further. The smallest dove picked up speed and found some rice scattered beneath a banyan tree. So all the doves landed and began to eat.
Suddenly a net fell over them and they were all trapped. They saw a hunter approaching carrying a huge club. The doves desperately fluttered their wings trying to get out, but to no avail. The king had an idea. He advised all the doves to fly up together carrying the net with them. He said that there was strength in unity.
Each dove picked up a portion of the net and together they flew off carrying the net with them. The hunter looked up in astonishment. He tried to follow them, but they were flying high over hills and valleys. They flew to a hill near a city of temples where there lived a mouse who could help them. He was a faithful friend of the dove king.
Question 1 of 10
Which of the following is equal to the fraction below?
N
(17)"
A. 711
N
B.
44
C. 11.
11.6)
1
D. 711
Answers
Answer:
i feel like the answer is d srry if im wrong
Step-by-step explanation:
what is the answer i need help
Answers
Answer:
90/100
Step-by-step explanation:
both equal 0.9
Answer:
[tex]\frac{90}{100\\}[/tex]
Step-by-step explanation:
[tex]\frac{9}{10}[/tex] equals [tex]\frac{90}{100\\}[/tex]
By multiplying the numerator and denominator of [tex]\frac{9}{10}[/tex] by 10, we get [tex]\frac{90}{100\\}[/tex] .
9 x 10 = 90
10 x 10 = 100
Casper write the algebraic expression 5b + 3.79. I represents the total cost, in dollars, of buying 5 bagels and a container of cream cheese. Identify any variables, coefficients, and termsin the expression. Tell me what each represents
Answers
Answer:
5 is a co efficient and b is a variable together is a term, 3.79 is a constant/term the whole equation is an expression.
The total cost of buying 5 bagels and a container of cream cheese is $28.79 and in the expression 5 is constant, b is variable, and 3.79 is constant representing the cost of the container.
What is an expression?An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that all are constrained and create an equation.
For example 3x +5y
Given the expression for the total cost,
C = 5b + 3.79 where b is the number of bagels.
Cost of 5 bangles →
C = 5(5) + 3.79 =$ 28.79
Cost of container = $3.79
Thus b is the only variable and 5b represents the cost of bagels while by the sum of container cost 3.79 total costs are created.
Hence "The total cost is $28.39 and container cost is $3.79 while b is variable".
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1. Jerry has 56.92 centimeters (cm) of wire. He uses 2 pieces of the wire. Each piece he uses is 7.37 cm long. What is the length of the remaining wire, rounded to the nearest tenth of a centimeter?
2.
Answers
Please help!!!!! 20pts
Answers
Answer:
vertically Angle is correct answer
The second is Vertical, like the person above said.
I think that’s it. Sorry if i’m wrong.
the square of a number plus three times the number is 70. find the numbers.
Answers
Answer:
Step-by-step explanation:
The equation for that is
[tex]x^2+3x=70[/tex]
If we subtract over the 70, we have a quadratic that we can factor to solve for the values of x that will make that equation true.
[tex]x^2+3x-70=0[/tex]
Now we need the factors of 70 that will either add or subtract to give us the linear term of 3. The factors of 70 that will work are 10 and 7. 10 times 7 is 70, and 10 - 7 = 3:
[tex]x^2+10x-7x-70=0[/tex] and now we will factor by grouping:
[tex](x^2+10x)-(7x-70)=0[/tex] and factor out what's common:
[tex]x(x+10)-7(x+10)=0[/tex]
The factor (x + 10) is common, so we will now factor that out:
[tex](x+10)(x-7)=0[/tex]
By the Zero Product Property, either x + 10 = 0 or x - 7 = 0, so x = -10 or 7
Those are the 2 numbers that will work.
[tex](-10)^2+3(-10)=70[/tex] simplifies to
100 - 30 which does in fact equal 70. OR
[tex](7)^2+3(7)=70[/tex] which simplifies to
49 + 21 which also equals 70.
So you're done!
The values of the unknown number is 7 or - 10
The given expression from words to algebra;
let the unknown number = n
the square of the number = n²
three times the number = 3n
n² + 3n = 70
To find:
the values of nThe values of n is calculated as follows;
[tex]n^2 + 3n = 70\\\\n^2 + 3n - 70 = 0\\\\factorize \ the \ equation;\\\\n^2 + 10n - 7n - 70 = 0\\\\n(n + 10) - 7(n + 10) = 0\\\\(n-7)(n+ 10) = 0\\\\n = 7 \ or \ - 10[/tex]
Thus, the values of the unknown number is 7 or - 10
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What is not equal to 120 centimeters
Answers
Answer:
120mm
Step-by-step explanation:
Thank u....
............
On hot, sunny, summer days, Jane rents inner tubes by the river that runs through her town. Based on her past experience, she has assigned the following probability distribution to the number of tubes she will rent on a randomly selected day.
x 25 50 75 100 Total
P(x) .27 .33 .29 .11 1.00
Answers
What is the area of a rectangle that is 4 inches by 2 inches?
Answers
Answer:
8
Step-by-step explanation:
Because of the commutative property of multiplication, it is true that
3/4
×
4
=
4
×
3/4
. However, these expressions can be calculated in different ways even though the solutions will be the same.
Below, show two different ways of solving this problem.
First, show how
3/4*4
can be solved using repeated addition.
Answers
¾ × 4 = (3 × 4)/4 = 12/4 = 3
1. What is your gross bi-weekly income if you are paid an annual salary of $85,700?
Answers
Answer:
Your gross bi-weekly incomeis of $824.
Step-by-step explanation:
An year has 52 weeks.
In this problem:
Bi-weekly payments, that is, 52*2 = 104 payments during the year, combining $85,700.
Your bi-weekly income will be of:
$85700/104 = $824
Your gross bi-weekly incomeis of $824.
19x/x+9 =x+9/x find x
Answers
Answer:
X=.5
Step-by-step explanation:
First, I rewrite the equation:
[tex]\frac{19x}{x+9}[/tex]= [tex]\frac{x+9}{x}[/tex]
Next, Cross Multiply:
19x times x is 19x^2
x+9 times x+9 equals (x+9)^2
Write the Formula Again, Revised:
19x^2=(x+9)^2
Square Root Both Sides:
19x=x+9
Subtract x from both sides:
18x=9
Divide Both Sides by 18:
X=.5
.5 is the answer
i hope this helps!
Please Give ,e feedback (or brainliest) to let me know if im right!
Find the slope of the line contains (-2, -2) and (-10, -9)
Answers
Answer:
The slope is m = 7/8 or 0.975
Step-by-step explanation:
Answer:
7/8
Step-by-step explanation:
Helppp again plzzzzzzzhsjsjskzkzjdosoa
Answers
Answer:
1
Step-by-step explanation:
-16 + x = -15
+16 +16
x = 1 because -15 + 16 is 1
X=y-3
2x-2y=-6
No solution, one solution, or infinite solution?
Answers
Answer:
No solution
Step-by-step explanation:
2y - 3 - 2y = -6
2y - 2y - 3 = -6
-3 = -6
No solution
Help please being timed and I don’t get it...?
Answers
Answer:
i got you.
whats up
Step-by-step explanation:
Shanti began to draw a Venn diagram comparing refracting and reflecting telescopes.
2 overlapping circles. The left circle labeled Refracting telescopes. The right circle labeled Reflecting Telescopes. An X in the overlap. Both as a label below and outside the overlap.
Which label could be written in the area marked X?
“Uses a convex mirror”
“Uses a concave mirror”
“Uses a concave eyepiece lens”
“Uses a convex eyepiece lens”
Answers
Answer:
D im pretty sure. "Uses a convex eyepiece lens”
Step-by-step explanation:
I am taking quiz rn
The correct label that could be written in the area marked X is "Uses a convex eyepiece lens".
What is the Venn diagram?The Venn diagram is a mathematical representation of the system of scenarios.
Here,
The overlapping area between the two circles represents the features that both types of telescopes share. Reflecting telescopes use concave eyepiece lenses the primary optical element while refracting telescopes use a convex eyepiece lens. So the X in the overlapping area represents the fact that there are some telescopes that “Use a convex eyepiece lens".
A concave mirror is used in reflecting telescopes to collect and focus light, while a convex eyepiece lens is used to magnify the image. The other two options ("Uses a convex mirror" and "Uses a concave mirror") are not accurate for both types of telescopes.
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Factor by grouping. 3x³ – 2x²–9x+6
Answers
Answer:
(3x-2)(x²-3)
Step-by-step explanation:
3x³-2x²-9x+6
=(3x³-2x²)+(-9x+6)
=x²(3x-2)-3(3x-2)
first answer must include the GCF and the second answer consists of the remaining numbers.
the difference of two numbers is 15. the larger number is 1 more than 3 times the smaller number. find the two numbers.
Answers
Answer:
7, 22
Step-by-step explanation:
3!=6+6=12/3=4!=24-4=20-10=10-3=7
11-1=10+2=12/6=2x11=22
I need help please
Answers
I'm not sure of what your trying to find... but the slope is (10/3). The equation in slope form is y=(10/3)x-10. The Standard form is 10x-3y=30.
Does this help?
Answer: The equation of that line is [tex]Y = 3 \frac{1}{3}x -10[/tex]
Step-by-step explanation:
factor the expression by grouping: ax+ay+az+3x+3y+3z
please answer fast
Answers
Answer:
(x+y+z)(a+3)
Step-by-step explanation:
ax+ay+az+3x+3y+3z
=(ax+ay+az)+(3x+3y+3z)
=a(x+y+z)+3(x+y+z)
=(x+y+z)(a+3)
Can someone help me with this math question?...
Answers
Answer:
B.
Step-by-step explanation:
It is the right answer, I promise.
Answer:
It is B. Length = 22 Feet, Width = 20 Feet
Step-by-step explanation:
I got it right once
find the value of x for the following equation 4(6x -9.5) = 46
Answers
Step-by-step explanation:
step 1. 24x - 38 = 46 (distributive property)
step 2. 24x = 84 (add 38 to both sides)
step 3. x = 84/24 = 21/6 = 7/2 (divide by 24 and simplify).
Graph the solution set of the inequality 1/4 x >= - 2
Answers
Answer:
-8 is one point and the arrow goes to 10
Step-by-step explanation:
The solution of the inequality is x≥ -8.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
1/4 x ≥ - 2
Now, the solving the inequality for x we get
x ≥ -2 (4)
x≥ -8
So, the value of x should be the region where values of x should be equal to -8 and greater than -8.
That means x ≠ -7, -6, -5, ....0,1, 2, 3....
The inequality graph is attached below.
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