get rid of y. that's all you have to do.
A rectangular restaurant kitchen has an area of 80 square meters and a perimeter of 36 meters. What are the dimensions of the kitchen?
Answer:
Step-by-step explanation
Frist, the area = ab = 30 m^2 and the perimeter = 2(a + b) = 34 m or a + b = 17 m (2). Solving (1) and (2), a = 15 m and b = 2 m. Since it is a rectangle, the dimensions are (all in m) so the answer is: 15, 2, 15, 2.
Answer:
THe kitchen is 8 by 10
Step-by-step explanation:
x = width
y = length
Area = xy = 80 m²
Perimeter = 2x + 2y = 36 m
2x = 36 - 2y
x = 18 - y substitute into equation 1
(18 - y)(y) = 80
-y² + 18y - 80 = 0 find roots of y by factoring
y² - 18y + 80 = 0
(y - 8)(y - 10) = 0
y = 8, 10
Since xy = 80, then:
x = 80/10 = 8, or, x = 80/8 = 10
Now you have your dimensions: 8 and 10
To check the answers:
8 x 10 = 80 m²
2(8) + 2 (10) = 36 m
Answers are correct!
41 points. What is the range of this data set? 2.1, 2.6, 7.2, 5.5, 4.1, 5.5, 7.5, 6.1 A. 5.1 B. 5.5 C. 5.4 D. 7.5
Answer:
C. 5.4
Step-by-step explanation:
Range means highest number minus lowest number.
7.5 - 2.1 = 5.4
\(answer =5.4 \\ given \: data = 2.1 , 2.6 , 7.2 , 5.5 ,4.1 , 5.5 ,7.5 , 6.1 \\ range = highest \: score - lowest \: score \\ \: \: \: \: \: \: \: \: = \: 7.5 - 2.1 \\ \: \: \: \: \: = 5.4 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment\)
a situation in which several independent variables are highly correlated with each other is defined as _____.
If a risk has a 20 percent chance of happening in a given month, and the project is expected to last five months, what is the probability that this risk event will occur during the fourth month of the project?
The probability that the risk event will occur during the fourth month of the project is 0.2.
If a risk has a 20% chance of happening in any given month, then the probability of it not happening in any given month is 1 - 0.2 = 0.8.
Assuming the risk event is independent from month to month, the probability that the risk does not happen in the first three months is:
P(not happening in 1st month) × P(not happening in 2nd month) × P(not happening in 3rd month) = 0.8 × 0.8 × 0.8 = 0.512
The probability that the risk occurs in the fourth month, given that it has not occurred in the first three months, is:
P(happening in 4th month | not happening in 1st, 2nd, and 3rd months) = P(happening in 4th month) = 0.2
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The first figure is dilated to form the second figure.
Which statement is true
A. The scale factor is 0.25
B. The scale factor is 4
C. The scale factor is 4.35
D. The scale factor is 7.25
Answer:
so, the size of the shape decreased. By how many times compared to the initial shape is the scale factor,
so scale factor is the ratio of a dimension of the final shape and the corresponding dimension of the initial shape
hence.
scale factor=1.45÷5.8=0.25
ans is A
PLEASE MARK BRAINLIEST
Find the value of h(-67) for the function below.
h(x) = -49x − 125
A.
-3,408
B.
3,158
C.
3,283
D.
-1.18
Answer:
B. 3,158
Step-by-step explanation:
h(x) = -49x − 125
Let x = -67
h(-67) = -49(-67) − 125
=3283-125
= 3158
Answer:
Answer B
Step-by-step explanation:
To find the value of h(-67) for the function h(x) = -49x - 125,
we substitute -67 for x in the function and evaluate it.
h ( - 67 ) = - 49 ( - 67 ) - 125
Now we can simplify the expression:
h ( -67 ) = 3283 - 125
h ( -67 ) = 3158
Quiz Active
1
2
B
8
The figure shows five points. A point has been translated right and up.
D
9 10
Based on the graph, which statements about the points could be true? Check all that apply.
The point (5, 10) has not been translated in the given figure.Hence this statement is false.
The graph shows five points.
A point has been translated right and up.
Now, the statements that are true based on the graph are as follows:
The point (9, D) has been translated right and up.Answer: False
There is no information given about point (9, D).
So, we cannot say anything about the translation of point (9, D).
The point (1, 8) has been translated right and up.Answer: True
As explained above, the point (1, 8) has been translated 7 units to the right and 2 units up to get the new point (8, 10). So, this statement is true.
The point (2, 9) has been translated right and up.Answer: False
The point (2, 9) has not been translated in the given figure.
So, this statement is false.
Statement 4: The point (8, B) has been translated right and up.Answer: True
The point (8, B) has been translated 1 unit up in the given figure. So, this statement is true.
The point (5, 10) has been translated right and up.Answer: False
The point (5, 10) has not been translated in the given figure.
So, this statement is false.
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PLZ ANSWER ONLY IF YOU KNOW!!! BRAILIEST 5 STARS AND A THANKS!!!
When Samantha uses her calling card overseas, the cost of a phone call is $0.75 for the first three minutes and $0.12 for each additional minute, thereafter. Samantha plans to spend at most $3.60 to make a call. Find the greatest possible length of talk time. Round your answer to the nearest whole number.
x = 26.75 min
26 minutes, would = 3.51. if you add .12 to that it is 3.63.
so the most that she could talk would be 26 minutes.
An average Smart TV costs $500. On Black Friday, the Smart TV goes on sale for $350. By what percent did the
TV go on sale?
Answer:
30%
Step-by-step explanation:
$500-$350=150
150/500 x 100
=30%
Find x and y. Give reasons to justify your solution.
Answer:
122
Step-by-step explanation:
What is the simplified value of the expression m/n if m=4/5 and n= −0.25
Answer:
The simplified value of the expression m/n if m=4/5 and n= −0.25 is -16.
Step-by-step explanation:
GIVE ME BRAINLEST!!!!!!!!!!!!!!!!!!!
Given: ΔPQR ≅ ΔPNM
What is the measure of PM?
Responses
A - b
B - c
C - a
D not enough information
Answer:
A
Step-by-step explanation:
since the triangles are congruent then corresponding sides are congruent.
Δ PQR congruent to Δ PNM
PR and PM are corresponding sides , then
PM = PR = b
A cylindrical container is packaged inside a prism-shaped box. the box has a volume of 96 cubic units. if the container has a diameter of 4 units and a height of 6 units, what is the volume of the empty space between the cylinder and the box? round the answer to two decimal places. a. 20.60 cubic units b. 37.77 cubic units c. 51.27 cubic units d. 75.40 cubic units
Volume is a three-dimensional scalar quantity. The volume of the empty space is 20.602 units³.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Given the volume of the prism, the box is 96 units³ and the diameter of the cylindrical container is 4 units(Radius=2 units), while the height of the cylinder is 6 units. Therefore, The volume of the empty space is,
The volume of the empty space
= Volume of prism - Volume of the cylindrical container
= 96 units³ - (π×2²×6) units³
= 96 units³ - 75.398 units³
= 20.602 units³
Hence, the volume of the empty space is 20.602 units³.
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from the foul line to the head pin, how long is a standard bowling lane?
A standard bowling lane is approximately 60 feet long from the foul line to the head pin.
What is length?The metric system uses the terms kilometres (km), metres (m), decimeters (dm), centimetres (cm), and millimetres (mm) to describe length or distance.
A standard bowling lane is designed to be 60 feet in length from the foul line to the head pin. This distance is consistent across most bowling alleys and is a key measurement in the sport of bowling.
The 60-foot length is divided into specific sections that contribute to the overall structure of the lane. These sections include the approach area, the foul line, the lane itself, and the pin deck where the pins are set.
The approach area is the section where the bowler stands and prepares to release the ball. It usually spans around 15 feet, providing enough space for the bowler to take a few steps and build momentum before releasing the ball.
The foul line marks the boundary between the approach area and the actual lane. It is important for bowlers to release the ball before crossing the foul line; otherwise, it is considered a foul, and the resulting throw does not count towards the score.
Beyond the foul line is the lane, which is where the ball rolls towards the pins. The lane is typically around 41 to 42 inches wide, made of a specially coated wooden or synthetic surface that allows the ball to roll smoothly.
At the end of the lane is the pin deck, where the pins are arranged in a triangular pattern. The head pin, also known as the 1-pin, is positioned at the front of the triangle. When the ball reaches this area, it interacts with the pins, causing them to scatter or fall, resulting in a score.
Overall, the 60-foot length of a standard bowling lane provides enough distance for bowlers to exhibit skill and strategy in their throws while ensuring a fair and consistent playing field.
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let x1, x2 ..., x100 all be independent bernoulli variables, which take a value of 1 with probability 0.5
Using the normal approximation to the binomial, there is a 0.9713 = 97.13% probability that the sum of these variables is less than 60.
What is the missing information?This problem is incomplete, but researching it on a search engine, it asks the probability that the sum of these Bernoulli variables is of less than 60.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with \(\mu = np, \sigma = \sqrt{np(1-p)}\).The binomial distribution is a series of n Bernoulli trials with p probability of a success on each trial, hence the parameters for the binomial distribution are given as follows:
n = 100, p = 0.5.
The mean and the standard deviation are given by:
\(\mu = np = 100(0.5) = 50\).\(\sigma = \sqrt{np(1-p)} = \sqrt{100(0.5)(0.5)} = 5\)Using continuity correction, the probability that the sum is less than 60 is P(X < 59.5), which is the p-value of Z when X = 59.5, hence:
\(Z = \frac{X - \mu}{\sigma}\)
Z = (59.5 - 50)/5
Z = 1.9
Z = 1.9 has a p-value of 0.9713.
Hence there is a 0.9713 = 97.13% probability that the sum of these variables is less than 60.
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Help please!!!!!! And explain ur answer.. I will mark as BRAINLIEST.
Answer:
The total earning of commission on sales of 85, 000 will be:
\(3500+1050=4550\)
Step-by-step explanation:
Total sales earning = 85,000As salesperson earns 5% commission the first 70,000.
\(\frac{5}{100}\:\times \:70\:000=3500\)
As the salesperson earns 7% commission on the sales over 70,000.
As 15000 is the sales earning on which he will get commission 7%.
Because
85,000 - 70,000 = 15000So the 7% earning of salesperson will on 15000 will be:
\(\:\frac{7}{100}\:\times \:15\:000=1050\)
Therefore, the total earning of commission on sales of 85, 000 will be:
\(3500+1050=4550\)
Craig is training for a race. He bikes every 2 days and swims every 3 days. If he biked and swam today, how many days will pass before he bikes and swims on the same day again, the least common multiple of the numbers of days?
Multiples of 2: 2, 4, 6, 8, 10, 12, . . .
Multiples of 3: 3, 6, 9, 12, 15, 18, . . .
2 days
3 days
6 days
12 days
Answer:
12 is the right answer
Step-by-step explanation:
What is an important first step when building a theory?
\
Overall, building a theory is a complex process that requires careful planning, attention to detail, and a willingness to remain open to alternative explanations and interpretations.
An important first step when building a theory is to formulate a clear and testable research question or hypothesis. A research question or hypothesis is a statement that suggests a relationship between two or more variables, and it guides the development of the theory. The research question or hypothesis should be specific, measurable, and falsifiable, meaning that it can be tested and potentially proven false through empirical research. Once a clear research question or hypothesis has been formulated, the researcher can then begin to gather and analyze data to support or refute the theory.
Another important first step when building a theory is to conduct a comprehensive review of existing literature and research in the field. This review helps the researcher to identify gaps or inconsistencies in current knowledge and to develop a clear understanding of the state of the field. This step can also help the researcher to refine their research question or hypothesis, as well as to identify potential variables and relationships that may be relevant to the theory.
Another important step when building a theory is to select an appropriate research design and methodology that will allow for the systematic collection and analysis of data. The research design should be aligned with the research question or hypothesis, and should enable the researcher to collect high-quality data that can be analyzed using appropriate statistical or qualitative methods.
In addition, it is important to be mindful of potential biases that can impact the development of a theory, such as confirmation bias or researcher bias. It is important for the researcher to be objective and to consider all possible explanations for their data, rather than solely seeking out evidence that supports their hypothesis or preconceived ideas.
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(-9) * (-2)
Anyone ? Please help
Answer:
18
Step-by-step explanation:
the answer is 18 because when you multiply two negative numbers, the result is the same as if the two numbers were positive.
Therefore, -9x-2=9x2=18
Answer:
18
Step-by-step explanation:
(-9)-2
negative times a negtive = positive
9 *2 = 18
Need help asap I was gone for most of the unit and need some help asap
Answer: I don't have the answers but I have some things that might help.
Step-by-step explanation:
1) for all the problems, think of what is being asked for (write as x), then take all the info you have and try to plug everything in.
2) if 1) doesn't work, go find your teacher?
Please help me i would really appreciate it, I really dont want to fail the assignment!!!
The ordered pair of the solution for the system of equation area are (2, -3) and (3, -3)
How to solve system of equation?f(x) = x² - 5x + 3
f(x) = -3
Therefore,
-3 = x² - 5x + 3
x² - 5x + 3 + 3 = 0
x² - 5x + 6 = 0
x² - 2x - 3x + 6 = 0
x(x - 2) - 3(x - 2) = 0
(x - 3)(x - 2) = 0
x = 3 or 2
when x = 2
f(x) = 4 - 10 + 3 = -3
when x = 3
f(x) = 9 - 15 + 3 = -3
Therefore, the ordered pair of the solution for the system of equation are (2, -3) and (3, -3)
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What is the term for the probability that a value falling outside the control limits is still due to normal variation
The term for the probability that a value falling outside the control limits is still due to normal variation is called the Type I error or the alpha error.
The term for the probability that a value falling outside the control limits is still due to normal variation is called the Type I error or alpha error.
It refers to the probability of rejecting a true null hypothesis (in this case, the process is in control) when it should not be rejected. In other words, it is the probability of concluding that there is a problem with the process when there is actually no problem, and the observed value is simply a result of random variation.
This means that the value appears to be abnormal, but it is actually just a result of the natural variation in the process. It is important to minimize the risk of Type I errors to ensure that only truly abnormal values are addressed and corrected.
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find the radian measure of the central angle of a circle of radius r that intercepts an arc of length s.
The central angle in radians is given by θ = s/r, where s is the arc length and r is the radius of the circle
For given question,
we need to find the radian measure of the central angle of a circle of radius r.
The central angle intercepts an arc of length s.
Let θ be the central angle in radians.
We know that the arc length of circle of radius r is,
s = r × θ
where s is the arc length
r is the radius of the circle
θ is the central angle measured in radians
From above equation,
we have, θ = s ÷ r
Therefore, the central angle in radians is given by θ = s/r, where s is the arc length and r is the radius of the circle
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assuming that if a logical vector z has at least one entry true, which of the function will always be false ? group of answer choices any(!z) all (!z) any(z) all(z)
If a logical vector z has at least one entry TRUE, the function all(!z) will always be false.
If a logical vector contains only TRUE items, the all() method returns FALSE; otherwise, it returns TRUE.
The any() function, on the other hand, gives a result of TRUE if a logical vector has at least one element that is TRUE and FALSE otherwise.
any(z) will always be TRUE if z contains at least one TRUE element since there is at least one TRUE element. On the other hand, depending on whether all of the components of z are TRUE, all(z) may or may not be TRUE.
any(!z) will always return FALSE since if z has at least one TRUE element, then!z must include at least one FALSE element.
Additionally, all(!z) will always return FALSE if any element is FALSE since if z has at least one TRUE element, then!z must include at least one FALSE element.
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logs are stacked in a pile with 48 logs on the bottom row and 24 on the top row. each row decreases by three logs. how many rows are there in this stack?
The number of rows in the log stack is 2. To find the number of rows in this log stack, we need to find the number of times we can subtract 3 from 48 until we reach 24.
48 - 3 = 45
45 - 3 = 42
42 - 3 = 39
We keep subtracting 3 until we reach 24. When we reach 24, we have found the second row, so the number of rows in the stack is 2.
This problem is asking for the number of rows in a stack of logs, where the number of logs decreases by three for each row. To solve this problem, we can use a simple mathematical equation. We can start with the number of logs on the bottom row, which is 48, and subtract 3 logs for each subsequent row. To find the total number of rows, we need to determine when the number of logs in a row becomes zero. This can be done by dividing the number of logs on the bottom row by 3, and rounding up to the nearest whole number. In this case, 48 divided by 3 is 16, so we would round up to 17. This means there are 17 rows in total, with the first row having 48 logs, the second row having 45 logs, and so on, until the last row with 24 logs.
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I need help finding the slopes and lengths i already did the graph please helpneed asap
Answer:
v
Step-by-step explanation:
a. Slopes of each side:
AB: 3/4 --> 3 units up and 4 units right
BC: No slope. Slope requires a rise and a run. There's only a rise.
CD: 3/4 --> 3 units up and 4 units right
AD: No slope. Slope requires a rise and a run. There's only a rise.
b. Length of each side:
(You find this by using the distance formula)
AB: 5 units
BC: 5 units
CD: 5 units
AD: 5 units
The regular hexagon has a radius of 4 in. A regular hexagon has a radius of 4 inches. What is the approximate area of the hexagon? 24 in. 2 42 in. 2 48 in. 2 84 in. 2.
The approximate area of the hexagon is 48 square inches.
Given that the regular hexagon has a radius of 4 inches, to determine what is the approximate area of the hexagon the following calculation must be performed:
Area of a regular hexagon = (perimeter x apothem) / 2 (4 x 6 x 4) / 2 = X (24 x 4) / 2 = X 48 = X
Therefore, the approximate area of the hexagon is 48 square inches.
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a rectangle has sides of length 2 millimeters and 8.1 millimeters. What is the perimeter?
Answer:
20.2 mm.
Step-by-step explanation:
2*2 + 2*8.1
= 4 + 16.2
= 20.2 mm.
Hangi Sayinin 5 eksiginin 3 kati 27 dir
Answer:
-4
Beni beyinsiz yap lütfen
Step-by-step explanation:
During the checkout process, the PMS shows that a guest already paid
$111.44 upon arrival for his stay. The total bill is for $185.74. What
percentage of the total bill did this guest already cover?
100%
11.4%
50%
60%
Answer:hygfh
Step-by-step explanation: