Answer:
q1 (1,-3)
r1 (3,3)
s1 (0,2)
t1 (-2,-1)
Step-by-step explanation:
When a shape is reflected, it must be reflected across a line
The vertices for \(\mathbf{rx-axis}\) of qrst are:
\(\mathbf{q'(1,-3)}\)\(\mathbf{ r'(3,3)}\)\(\mathbf{ s'(0,2)}\)\(\mathbf{t'(-2,-1)}\)The given parameters are:
\(\mathbf{q = (1,3)}\)
\(\mathbf{r = (3,-3)}\)
\(\mathbf{s = (0,-2)}\)
\(\mathbf{s = (-2,1)}\)
The transformation rule is given as:
\(\mathbf{rx-axis}\)
The above rule means that the vertices are reflected over the x-axis
The rule of the transformation is:
\(\mathbf{(x,y) \to (x,-y)}\)
So, we have:
\(\mathbf{q(1,3) \to q'(1,-3)}\)
\(\mathbf{r(3,-3) \to r'(3,3)}\)
\(\mathbf{s(0,-2) \to s'(0,2)}\)
\(\mathbf{t(-2,1) \to t'(-2,-1)}\)
Hence, the vertices for \(\mathbf{rx-axis}\) of qrst are:
\(\mathbf{q'(1,-3)}\)
\(\mathbf{ r'(3,3)}\)
\(\mathbf{ s'(0,2)}\)
\(\mathbf{t'(-2,-1)}\)
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You cross the finish line of a race and the first thing you do is to look ahead to see how many people finished in front of you, and then you look behind to see how many people you beat. You are gathering information for your __________ via the use of __________.
While you look behind to see how many people you beat, you are gathering information for your Competitive intelligence via the use of social comparison.
Competitive intelligence is a process of learning as much as possible outside oneself to increase one's competition level.
It tells us about our position in the competition or market .it helps in self-improvement and skill development.
Social comparison helps in determining our own worth in society.
You are gathering information for your Competitive intelligence via the use of social comparison.
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A researcher is following the growth of a particular type of flower. She writes the given equation to show the height of the flower g(n), in inches, after n days. When the researcher finished his study, the height of the flower was about 11.04 inches. What is a reasonable domain to plot the growth function
After solving, the possible domain in interval notation is (0, 7).
In the given question, a researcher is following the growth of a particular type of flower.
The equation to show the height of the plant f(n), in cm, after days (n) = 8(1.05)^n
According to the given information,
The height of the plant is modeled by the function= f(n)
The height of the plant is approximately 11.04cm when the number of days = 7
The days are started from n > 0 and n<=7
Hence the possible domain in interval notation = (0, 7)
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The complete question is:
A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the plant f(n), in cm, after days (n) = 8(1.05)^n
Part A: When the scientist concluded his study, the height of the plant was approximately 11.26 cm What is a reasonable domain toplot the growth function?
Part B: What does the y-intercept of the graph of the function () represent?
Part C: What is the average rate of change of the function f(n) from n = 2 ton, and what does it represent?
Marking brainliest
Why is this right important
I need helppp on 17 only
Answer:
188 cm
Step-by-step explanation:
Use the law of cosines to solve for the measure of the largest angle in triangle ABC.
please show all of your work
Answer:
Step-by-step explanation:
Simplify: 3x³ + 9x² + 30x -3x³-18x² - 24x ; x = -4, -2, 0
help me show my work asap
The expression can be simplified as:
-9x² + 6x
How to simply an algebraic expression?An algebraic expression is an expression that is made up of variables and constants, along with algebraic operations like addition, subtraction, square root, etc.
The expression can be simplified by adding or subtracting like terms. That is:
3x³ + 9x² + 30x -3x³-18x² - 24x = 3x³-3x³ + 9x²-18x² + 30x -24x
= -9x² + 6x
Substituting x = -4, -2, 0 into -9x² + 6x:
x = -4:
-9x² + 6x = -9(-4)² + 6(4)
= -144 + 24
= -120
x = -2:
-9x² + 6x = -9(-2)² + 6(2)
= -36 + 12
= -24
x = 0:
-9x² + 6x = -9(0)² + 6(0)
= 0
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A carton of grapefruit juice displays the nutritional information shown below. How many grams of sugar are there in a 200 ml glass of juice? Grapefruit juice 250 ml contains Carbohydrate Sugar Protein 19.5 g | 16.5 g | 1.5 g
Answer:
13.2 g
Step-by-step explanation:
let x = grams sugar in a 200 ml glass
16.5 g sugar / 250 ml = x g sugar / 200 ml
x(250) = (16.5)(200)
x = (16.5)(200) / (250) = 3300 / 250 = 13.2
Answer: there are 13.2 g sugar in a 200 ml glass of juice
A strain of peas has 3 green and one yellow for every four peas. If 12 peas are rendomly selected, what is the probability that exactly 8 peas are green
The probability that exactly 8 peas are green, from the random selection would be 22. 56 %.
How to find the probability ?This is a binomial probability problem as the probability of an exact likelihood from an event needs to be found.
The relevant formula is:
P ( X = k ) = C ( n , k) x p^ k x q ^( n - k)
Solving for the probability, that exactly 8 peas are green gives:
P ( X = 8 ) = C( 12, 8) x ( 3 / 4 ) ^8 x ( 1 / 4 )^4
P ( X = 8 ) = (12! / ( 8 ! ( 12 - 8 )!) ) x ( 3/4 ) ^8 x ( 1 / 4 ) ^4
P ( X = 8 ) = 0. 2256
P ( X = 8 ) = 22. 56 %
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You run a meal kit delivery startup and you need to determine the typical time required for a customer to prepare the meal kit into a meal. The research department takes a random sample of 70 customers and calculates the sample average time spent for the meal preparation ž to be 97 minutes and the sample standard deviation s to be 14 minutes. a. Calculate the 99% confidence interval for u, the population mean time for meal preparation. The z- critical value for this interval is Za = 20.01 = 20.005 = 2.575. b. Interpret the confidence interval in words. c. The vice president of research asserts that the mean time for meal preparation is 95 minutes. Do you agree with this? Explain how you know. d. Suppose your company needs a narrower confidence interval, so it can decide whether the recipe testing department needs more staff. Calculate the sample size necessary to estimate the population mean within 1 minute. 2 2
The 99% confidence interval for the population mean time for meal preparation is approximately (92.70, 101.30) minutes based on a sample of 70 customers.
The claim by the vice president that the mean time is 95 minutes falls within the confidence interval, indicating agreement. To estimate the population mean within a 1-minute margin of error, a sample size of approximately 393 customers is needed.
a) Calculating the 99% confidence interval for the population mean time for meal preparation:
Given: Sample size (n) = 70, Sample mean (X bar) = 97 minutes, Sample standard deviation (s) = 14 minutes, and Z-critical value (Za) = 2.575.
The formula for the confidence interval is: CI = x (bar) ± Za * (s / √n)
Plugging in the values:
CI = 97 ± 2.575 * (14 / √70)
CI = 97 ± 2.575 * 1.67
CI ≈ 97 ± 4.30
Therefore, the 99% confidence interval for the population mean time for meal preparation is approximately (92.70, 101.30) minutes.
b) Interpretation of the confidence interval: We are 99% confident that the true population mean time for meal preparation lies within the interval (92.70, 101.30) minutes based on the sample data.
c) The vice president of research asserts that the mean time for meal preparation is 95 minutes. To determine if we agree with this assertion, we compare the confidence interval (92.70, 101.30) with the claimed mean of 95 minutes. Since the claimed mean of 95 minutes falls within the confidence interval, we cannot reject the vice president's assertion.
d) To calculate the sample size necessary to estimate the population mean within 1 minute, we use the formula:
n = (Za * s / E)²
Where Za is the Z-critical value, s is the sample standard deviation, and E is the desired margin of error (1 minute).
Plugging in the values:
n = (2.575 * 14 / 1)²
n ≈ 19.82²
n ≈ 393
Therefore, a sample size of approximately 393 customers is necessary to estimate the population mean time for meal preparation within a margin of error of 1 minute.
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If you know the answer to this let me know pls!
Answer:
I think it is C.
Step-by-step explanation:
Have a good day. :-)
i need a step by step explanation of how to solve this
Answer: x = 6
Step-by-step explanation:
Subtract 8 on both sides. The new equation should be -2x = -3x + 6.Now, add 3x on both sides. It should give you x = 6.PLEASE HELP NO LINKS OKAY!!
what is 8.1 divided by 2.7 ?
Answer:
3
Step-by-step explanation:
Answer:
The Answer Would Be 3
Step-by-step explanation:
350 students at the middle school ride the bus home and 50 of them walk home. What percent of students walk home?
Answer:
14.29%
Step-by-step explanation:
calculate the fraction by dividing it, then multiply that fraction value by 100 and add a precent sign, thats about it
50/350 = 0.14285714285
0.14285714285 x 100 = 14.2857142857
round it and get 14.29
add a percentage sign and tadaa!
14.29%
Pretend you are asked to draw a square on the coordinate plane shown above. Three of its vertices are (1, -3), (1, 0), and (4, -3). Which of the following is the coordinate of the fourth vertex? BRAINLIES INCLUDED
Answer:
the fourth coordinate is at (4,0)
Explanation:
use a graph paper to mark the three coordinates and see the appropriate fourth coordinate. use a scale if needed to draw the square. square has same length/sides.
Answer:
D (4, 0)
Step-by-step explanation:
see attached diagram for graph of shape and points
The fourth vertex is marked in blue
If the length of this prism can be expressed as 3x + 4 and its
width can be expressed as x - 2, which expression correctly describes the height if the formula
for volume is expressed below. *
V = 3x3 + 16x2 - 20x - 48
The expression that correctly describes the height of the prism for the given volume is (3x^3 + 16x^2 - 20x - 48) / ((3x + 4)(x - 2)).
The formula for the volume of a prism is given as V = 3x^3 + 16x^2 - 20x - 48. To determine the expression that correctly describes the height of the prism, we need to divide the volume by the product of the length and width.
Volume (V) = length (L) × width (W) × height (H)
Given:
Length (L) = 3x + 4
Width (W) = x - 2
Substituting the given expressions into the formula:
V = (3x + 4) × (x - 2) × H
Now, we need to solve for the height (H). We can rearrange the equation and isolate H:
V = (3x + 4)(x - 2)H
H = V / ((3x + 4)(x - 2))
Substituting the given volume expression:
H = (3x^3 + 16x^2 - 20x - 48) / ((3x + 4)(x - 2))
Therefore, the expression that correctly describes the height of the prism is (3x^3 + 16x^2 - 20x - 48) / ((3x + 4)(x - 2)).
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find the hcf of 52 and 117 and express it in the form of 52x + 117y..
please helppp
Step by step explanation:
Hope this helps
A telemarketer found that there was a 3% chance of a sale from his phone solicitations. Find the probability of getting 35 or more sales for 1000 telephone calls. A) 0.1770 B) 0.0401 C) 0.8810 D) 0.0871
The Probability of getting 35 or more sales for 1000 telephone calls is approximately 0.1771.Therefore, the correct option is A) 0.1770
To find the probability of getting 35 or more sales for 1000 telephone calls, we can use the binomial distribution.
The probability of a sale for each phone call is 0.03, and we have a total of 1000 phone calls. Let's denote the number of sales as X, which follows a binomial distribution with parameters n = 1000 and p = 0.03.
We want to find P(X ≥ 35), which is the probability of getting 35 or more sales. This can be calculated using the cumulative distribution function (CDF) of the binomial distribution.
Using a statistical software or calculator, we can calculate P(X ≥ 35) as follows:
P(X ≥ 35) = 1 - P(X < 35)
Using the binomial CDF, we find:
P(X < 35) ≈ 0.8229
Therefore
P(X ≥ 35) = 1 - P(X < 35)
= 1 - 0.8229
= 0.1771
The probability of getting 35 or more sales for 1000 telephone calls is approximately 0.1771.
Therefore, the correct option is A) 0.1770
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The probability of getting 35 or more sales for 1000 telephone calls is approximately 0.0475.
The number of sales X can be modeled as a binomial distribution with n = 1000 and p = 0.03.
Using the normal approximation to the binomial distribution, we can approximate X with a normal distribution with mean μ = np = 30 and variance σ^2 = np(1-p) = 29.1.
To find the probability of getting 35 or more sales, we can standardize the normal distribution and use the standard normal table.
z = (X - μ) / σ = (35 - 30) / sqrt(29.1) = 1.66
Using the standard normal table, we find that the probability of getting 35 or more sales is approximately 0.0475.
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Obtain all zeroes of the polynomial x4 + 2x3 – 25x2 – 26 x + 120, if two of its zeroes are 2 and 4.
Answer:
x=-5, 2, 4, -3
Step-by-step explanation:
Factor and you get:
(x−2)(x+3)(x−4)(x+5)
Answer: the zeros are x = {-5, -3, 2, 4}
Step-by-step explanation:
x⁴ + 2x³ - 25x² - 26x + 120 = 0
Given: x = 2 and x = 4
Use synthetic division to find the reduced polynomial for x = 2 and then x = 4
2 | 1 2 -25 -26 120
| ↓ 2 8 -34 -120
1 4 -17 -60 0 ← remainder
4 | 1 4 -17 -60
| ↓ 4 32 60
1 8 15 0 ← remainder
1x² + 8x + 15 = 0
(x + 5) (x + 3) = 0
x + 5 = 0 x + 3 = 0
x = -5 x = -3
The zeros are: x = 2, x = 4, x = -5, and x = -3
Greg started to run on a treadmill after setting it’s timer for 98 minutes the display says that he has finished 57% of his run how many minutes have gone by
A total of 55.86 minutes have gone by since Greg started his run on the treadmill.
How many minutes have gone byIf Greg has completed 57% of his run, it means he has 43% of his run remaining.
To find out how many minutes have gone by, we can use proportions.
Let's say x is the total number of minutes Greg needs to complete his run:
x = 57% * 98 minutes
Evaluate
x = minutes
Therefore, approximately 55.86 minutes have gone by since Greg started his run on the treadmill.
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how many is a dozen?
\( \large{ \underline{ \pink{ \mathscr{A} \sf{nswer :}}}}\)
12___________✿Mr. Armstrong went to Target to buy four pairs of dress socks. There was a 30% off sale
on the socks, and his total bill before tax was $14. What was the price of each pair of socks
before the sale?
Answer: $5
Step-by-step explanation:
We should note that since there was a 30% off sale, it means that he paid for 70% (100% - 30%) of the sales price.
Therefore, let the price of the socks be represented as x.
70% of x = 14
70/100 × x = 14
0.7 × x = 14
0.7x = 14
x = 14 / 0.7
x = 20
Therefore, the price of the socks was $20. Since there are 4 pairs, each pair will be:
= $20 / 4
= $5
what is the rate of change between the points 6,45 and 9,67.5
Answer:
7.5
Step-by-step explanation:
the slope m is a measure of the rate of change
Calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (6, 45 ) and (x₂, y₂ ) = (9, 67.5 )
m = \(\frac{67.5-45}{9-6}\) = \(\frac{22.5}{3}\) = 7.5 ← rate of change
The binomial probability model is useful in many situations with variables of whatâ kind?
âDiscrete-valued numerical variables
Categorical variables
âContinuous-valued numerical variables
Bothâ discrete-valued andâ continuous-valued variables
The binomial probability model is useful in situations with discrete-valued numerical variables. Hence, the answer is option (a) discrete-valued numerical variables.
The binomial distribution is a probability model that describes the number of successes in a fixed number of independent trials, where each trial has only two possible outcomes (e.g., success or failure, heads or tails, etc.).
The binomial distribution can be used to model a wide range of real-world scenarios, such as the number of defective products in a batch of goods, the number of heads in a series of coin flips, or the number of people who respond positively to a survey question.
Therefore, the correct option is (a) discrete-valued numerical variables.
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What is the median of 28, 44, 20, 20
Answer:
Mean of data set 28,44,20,20 = (28+44+20+20)/4 = 112/4=28.
Step-by-step explanation:
what is the value of q ?
Answer:
70 i think goodluck
Step-by-step explanation:
Answer:120 degrees
Step-by-step explanation:
The line equal 180
Subtract 180-60=120
A and B are two events. Let P(A) = 0.65, P (B) = 0.17, P(A|B) = 0.65 and P(B|4) = 0.17 Which statement is true?
1. A and B are not independent because P(A|B) + P(A) and P(B|4) + P(B).
2. A and B are not independent because P (A|B) + P(B) and P(B|4) + P(A)
3. A and B are independent because P (A|B) = P(A) and P(BIA) = P(B).
4. A and B are independent because P (A|B) = P(B) and P(B|A) = P(A).
Answer:
the statement that is true is: A and B are not independent because P(AIB) + P(B) is not equal to P(BIA) + P(A)
Step-by-step explanation:
ur welcome
The sum of w and eleven is three. What is the value of w?
Answer:
-8
Step-by-step explanation:
3=w+11
-11 -11
-8=w
Help please I would really appreciate it
Answer:
B
Step-by-step explanation:
AB=6 therefore Pto Q should be 6
6^2=36
8^2=64
add them together
=100
square root 100=10
divide by 2=5
if there are 1200 tickets sold for a raffle and you bought 300, what is the probability you will not win..
Answer:
fraction form 3/4
decimal form 0.75
percentage form 75%
Step-by-step explanation: