Answer:
b
Step-by-step explanation:
bnbbn
What is the image of the point (-2,7) after a rotation of 180° counterclockwise
about the origin?
180° rotation of any point about the origin gives the value with an alternate sign thus it will be (2,-7).
What are coordinates?A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane.
Given a point let's say A(-2,7)
If we rotate any point on coordinate geometry by 180 degrees about the origin then the horizontal and vertical distinctions will remain the same but the sign will change as shown below.
A(-2,7) ← Second quadrent
A'(2,-7) → Fourth quadrant
Hence "180° rotation of any point about the origin gives the value with an alternate sign thus it will be (2,-7)".
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Samuel use the distributive property to simplify the expression -6(-2 - 10x) - 7x And came up with the answer 53X -12, which is wrong.
What was Samuels mistake
Answer:
-6 x -2 = 12
-6 x -10x = 60x
12 - 60x
60x - 7x = 53x
12 - 53x
He flipped it the wrong way its supposed to be 12 - 53x not 53x - 12.
Bill charges 20 dollars to come to your house. He also charges 12 dollars for each hour that he works there. If the total price of Bill’s visit is $116 how many hours was he there?
Answer:
He was there for 8 hours.
Step-by-step explanation:
The first five terms in a pattern of numbers are shown. 2.4, -3.4, -9.2, 15, -20.8, If the pattern continues, which expression can be used to find the n term? A 5.8 - 3n B -- 3 -- 5.8 C8.2 -- 5.8 D 5.8 - 8.2n
Answer: C, 8.2 - 5.8n
The expression for the nth term will be 8.2 - 5.8n. Then the correct option is C.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The first five terms in a pattern of numbers are shown. 2.4, -3.4, -9.2, -15, -20.8. Then the equation is given as,
At x = 1, y is 2.4.
2.4 = m + c ...1
At x = 2, y is -3.4.
-3.4 = 2m + c ...2
From equations 1 and 2, then we have
m = -3.4 - 2.4
m = - 5.8
Then the value of 'c' is given s,
2.4 = -5.8 + c
c = 8.2
Then the equation is given as,
y = 8.2 - 5.8x
If the pattern continues. Then the expression for the nth term is given as,
y = 8.2 - 5.8n
The expression for the nth term will be 8.2 - 5.8n. Then the correct option is C.
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Shoppers in a large shopping mall are categorized as male or female, over 30 or 30 and under, and cash or credit card shoppers. In how many ways can the shoppers
be categorized?
Answer:
8
Step-by-step explanation:
2*2*2
A sample of 5 integers selected is shown. Does this sample represent the general rule for picking an integer from 1 to 25 in the population of integers from 1 to 1,000? Explain.
Answer:
No
Step-by-step explanation:
The general rule for picking sample from a population at random ensures that all members of the population have equal chances of being selected.
Therefore to select 5 samples in the range 1 - 25 from a population of integers from 1 - 1000.
Firstly, befure we start selecting our samples directly from the population since we are not interested in all integers, we seperatw the integers belonging to our target samples from the population first, the we select 5 samples out of the sepwratwd integers between 1 - 25. This ensures that all our 5 samples will have integers between 1 - 25 becausw integers 1 - 25 is the range we want our specs to be within and not between 1 - 100.
However, from the trial samples recorded none of the samples have integer between 1 - 25 ; jnecw, the samples must have been chosen directly from the entire population of 1 - 1000
Find the area of the shaded region
Answer:
A
Step-by-step explanation:
8-6=2
6×2=12
12×2=24
Put your answer in cm^2
can someone go to my profile and answer my recent questions ty
1) Silk Road 2) Increase of trading
whats 3/2 divided by 8/3 in fraction form
Answer:
9/16
Step-by-step explanation:
3/2 / 8/3 =
3/2 x 3/8 = 9/16
Hope that helps!
use inductive reasoning to predict the next line in the sequence of computations.
1=1×1
1+7=2×4
1+7+13=3×7
Answer:
1 + (1+6) + (1+6+6) + (1+6+6+6) = 4 × n
Step-by-step explanation:
The computation of the next line in the sequence is shown below:
As we can see that there is an increase of 6 in the left side and on the right hand side there is an increase of one
So,
1 = 1 × n
1 + (1+6) = 2 × n
1 + (1+6) + (1+6+6) = 3 × n
So, the next line would be
1 + (1+6) + (1+6+6) + (1+6+6+6) = 4 × n
i.e.
1 + 7 + 13 + 19 = 4 × 10
As 1 + 7 + 13 + 19 = 40
And 40 = 4 × 10
Who can solve this question?I will mark them as branlist.
Answer:
See below
Step-by-step explanation:
[tex] \overrightarrow a= \bigg(\frac{5}{\sqrt 34},\:\frac{3}{\sqrt 34}\bigg)[/tex]
We have to show that [tex] \overrightarrow a[/tex] is an unit vector.
To show this, we will find the modulus of [tex] \overrightarrow a[/tex] and if its value is 1, it will be a unit vector.
So,
[tex] | \overrightarrow a| = \sqrt{\bigg(\frac{5}{\sqrt 34} \bigg) ^{2}+\bigg(\frac{3}{\sqrt 34}\bigg)^{2} } \\ \\ | \overrightarrow a| = \sqrt{\frac{25}{ 34} +\frac{9}{ 34} } \\ \\ | \overrightarrow a| = \sqrt{\frac{25 + 9}{ 34} } \\ \\ | \overrightarrow a| = \sqrt{\frac{34}{ 34} } \\ \\ | \overrightarrow a| = \sqrt{1} \\ \\ | \overrightarrow a| = 1[/tex]
Thus, [tex] \overrightarrow a[/tex] is a unit vector.
A $24,000 car depreciates at a rate of 15% annually. What is that average rate of change from year 6 to year 10?
The diameter of a circle is 100cm what is the circumference of the circle use 3.14 for
Given diameter (D) = 100
Radius = D/2 = 50
Circumference = πD
= 100π
= 314.15926535898
Elyssa bought a rectangular aquarium. The measurements, in feet (ft), are shown below.
How much water will it take to fill the aquarium
Answer:
[tex] 34 \frac{13}{20} \: {ft}^{3} [/tex]
Step-by-step explanation:
Water required to fill the aquarium
= Volume of the aquarium
[tex] = lbh \\ \\ = 4 \frac{2}{5} \times 3 \frac{1}{2} \times 2 \frac{1}{4} \\ \\ = \frac{22}{5} \times \frac{7}{2} \times \frac{9}{4} \\ \\ = \frac{11}{5} \times \frac{7}{2} \times \frac{9}{2} \\ \\ = \frac{693}{20} \\ \\ = 34 \frac{13}{20} \: {ft}^{3} [/tex]
Note: Triangle may not be drawn to scale.
Suppose a = 10 and b = 2.
Find an exact value or give at least two decimal places:
sin(A) =
cos(A) =
tan(A) =
Answer:
Step-by-step explanation:
more info
Exact values are follows:
sin A = 0.98
cos A = 0.20
tan A = 5
What is Trigonometric function?In mathematics, the trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
What is Pythagorean theorem?In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.
Given,
a = 10, b = 2
Draw the figure using the given data
Apply Pythagorean theorem to find the third side or hypotenuse
[tex]c^{2}=a^{2} +b^{2}[/tex]
[tex]c^{2}=10^{2}+2^{2}\\c^{2}=100+4\\ c^{2}=104\\ c=\sqrt{104}[/tex]
c = 10.19 units
We know sin θ = Opposite side / Hypotenuse
Sin A = [tex]\frac{10}{10.19}[/tex]
sin A = 0.98
cos θ = Adjacent side / Hypotenuse
cos A = [tex]\frac{2}{10.19}[/tex]
cos A =0.20
tan θ = Opposite side / Adjacent side
tan A = [tex]\frac{10}{2}[/tex]
tan A = 5
Hence, the Exact values are follows:
sin A = 0.98
cos A = 0.20
tan A = 5
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A drug made by a pharmaceutical company comes in tablet form. Each tablet is branded as containing 105 mg of the particular active chemical. However, variation in manufacturing results in the actual amount of the active chemical in each tablet following a normal distribution with mean 105 mg and standard deviation 1.513 mg.
A) Calculate the percentage of tablets that will contain less than 104 mg of the active chemical.
B) Suppose samples of 15 randomly selected tablets are taken and the amount of active chemical measured. Calculate the percentage of samples that will have a sample mean of less than 104 mg of the active chemical.
Answer:
a) 25.46% of tablets will contain less than 104 mg of the active chemical.
b) 0.52% of samples will have a sample mean of less than 104 mg of the active chemical.
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.
Normal distribution with mean 105 mg and standard deviation 1.513 mg.
This means that [tex]\mu = 105, \sigma = 1.513[/tex]
A) Calculate the percentage of tablets that will contain less than 104 mg of the active chemical.
The proportion is the pvalue of Z when X = 104. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{104 - 105}{1.513}[/tex]
[tex]Z = -0.66[/tex]
[tex]Z = -0.66[/tex] has a pvalue of 0.2546
0.2545*100 = 25.46
25.46% of tablets will contain less than 104 mg of the active chemical.
B) Suppose samples of 15 randomly selected tablets are taken and the amount of active chemical measured. Calculate the percentage of samples that will have a sample mean of less than 104 mg of the active chemical.
Sample means from samples of 15. So, by the Central Limit Theorem:
[tex]n = 15, s = \frac{1.513}{\sqrt{15}} = 0.39[/tex]
The proportion is the pvalue of Z when X = 104. So
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{104 - 105}{0.39}[/tex]
[tex]Z = -2.56[/tex]
[tex]Z = -2.56[/tex] has a pvalue of 0.0052
0.0052*100 = 0.52
0.52% of samples will have a sample mean of less than 104 mg of the active chemical.
Complete the statement with the term that makes it true.
If there is no data for a value within the range, there still needs to be a
for that value in a frequency table.
O column
Orow
Otable
Answer is in the file below
tinyurl.com/wpazsebu
This que
Diners frequently add a 15% tip when charging a meal to a credit card. What is the price of the meal without the tip if the amount charged is $48.30? How much was the tip?
The price of the meal without tip is $
The amount of the tip is $
Enter your answer in each of the answer boxes.
.
Answer:sup
Step-by-step explanation:
a paper popcorn cone measures 4 inches in a diameter and is 9 inches high?
Explanation is in the file
tinyurl.com/wtjfavyw
Answer:
A
Step-by-step explanation:
Bc I said
the given is a square pyramid. The side length of the base of the pyramid is 28 millimeters. The volume of the pyramid is 1296 cubic mm. What is the height of the pyramid
Liana is putting a border around a right triangle and needs to figure out the triangle's height. If the triangle has a base length of 9 cm and a total area of 27 cm², what is the height?
Answer:
6
Step-by-step explanation:
Help??I have 4 questions and im confused on all of them
4x + 8y= -8
X= -2y + 1
Answer:
Step-by-step explanation:
Which ordered pair is a solution of the equation?
x+7y=17x+7y=17x, plus, 7, y, equals, 17
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Only (10,1)(10,1)left parenthesis, 10, comma, 1, right parenthesis
(Choice B)
B
Only (-4,3)(−4,3)left parenthesis, minus, 4, comma, 3, right parenthesis
(Choice C)
C
Both (10,1)(10,1)left parenthesis, 10, comma, 1, right parenthesis and (-4,3)(−4,3)left parenthesis, minus, 4, comma, 3, right parenthesis
(Choice D)
D
Neither
Answer:
hshshshshshegeheysheue
ejurehehehejendnendjd
Answer:
C
Step-by-step explanation:
Whats 3642o x 3234d +99? :/
Answer:
It's 5
Step-by-step explanation:
Thank you very much for the points :DD
Have a nice day!
What's the variable of x?
Step-by-step explanation:
in right angled triangle ;
hypotenuse² =( side 1)² +(side 2)²
(65)²=(25)² +(x)²
4225 = 625 + (x)²
4225 - 625 = x²
3580 = x²
59.83 = x
Which Theroms can be used to determine that the triangles are congruent
Answer:
SAS
Step-by-step explanation:
side GF is shared.
angles between the sides, ∠EGF ≅ ∠HFG because they are corresponding congruent angles
Write the log equation as an exponential equation. You do not need to solve for x.
In (4x + 8) = 2 + 5
HELP
Pleasseeeeeeeeee help[pppppppppp i will answer any of your questionsssss pleaseeeeeeeeeeee
Answer:
The dependent variable is c and the independent variable is s
Step-by-step explanation:
S does not rely on anything. C relies on the answer to the equation.
On each request the ith of n possible books is the one chosen with probability pi. To make it quicker to find the book the next time, the librarian moves the book to the left end of the shelf. Define the state at any time to be the sequence of books we see as we examine the shelf from left to right. Since all the books are distinct this list is a permutation of the set
{1, 2,... n}, i.e., each number is listed exactly once. Show that Ï(i1,... in)= pi1. pi^2/1-pi_1 . pi^3/1-pi_1- pi_2 ........ pi^n/1-pi_1- pi_2.....pi_n is a stationary distribution.
Answer:
attached below
Step-by-step explanation:
loops have permutations , steps to show that the given set of permutations is a stationary distribution is attached below