DE is parallel to XY. What is the value of X?
Average maintenance costs are $1.50 per machine-hour at an activity level of 8,000 machine-hours and $1.20 per machine-hour at an activity level of 13,000 machine-hours. assuming that this activity is within the relevant range, total expected maintenance cost for a budgeted activity level of 10,000 machine-hours would be closest to:
how do you write an interger whose absolute value is greater than itself.
Which set or sets does the number 15 belong to?
if f(x)=x-3/x, g(x)=x+3, and h(x)=2x+1, what is (g*h*f)(x).
A. 3x-6/x
B. 6x-6/x
C. 2x+4/2x+7
D. 4x-3/x
Answer:
Option B - 6x-6/x
Step-by-step explanation:
Given : If [tex]f(x)=\frac{x-3}{x}, g(x)=x+3,h(x)=2x+1[/tex].
To find : What is the value of [tex](g(h(f)))(x)[/tex]
Solution :
[tex](g(h(f)))(x)=g(h(f(x)))[/tex]
i.e, substitute the value of f(x) in h(x) and then put that h(x) in g(x).
[tex]g(h(f(x)))=g(h(\frac{x-3}{x}))[/tex]
[tex]g(h(f(x)))=g(2(\frac{x-3}{x})+1)[/tex]
[tex]g(h(f(x)))=(2(\frac{x-3}{x})+1)+3[/tex]
Solving the RHS,
[tex]=(2(\frac{x-3}{x})+1)+3[/tex]
[tex]=(\frac{2x-6}{x})+1)+3[/tex]
[tex]=(\frac{2x-6+x}{x})+3[/tex]
[tex]=\frac{3x-6}{x}+3[/tex]
[tex]=\frac{3x-6+3x}{x}[/tex]
[tex]=\frac{6x-6}{x}[/tex]
Therefore, The value of [tex](g(h(f)))(x)=\frac{6x-6}{x}[/tex]
Hence, Option B is correct.
What are the zeros of f(x)=4x^3-13x^2-37x+10
an architect designs a rectangular flower garden such that the width is exactly two thirds of the length if 320 ft of the antique picket fencing are to be used to enclose the garden find the dimensions of the garden
The dimensions of the garden where 320 ft of the antique picket fencing are to be used to enclose the garden are 96 feet and 64 feet.
Given that:
A garden is in rectangular shape.
The length of the antique picket fencing used to enclose the garden is 320 feet.
The perimeter defines the enclosing length.
So, the perimeter is 320 feet.
Let P = 320.
Let l represent the length and w represents the width of the garden.
The width is exactly two-thirds of the length.
So, [tex]w=\frac{2}{3} l[/tex].
The perimeter of the garden is:
P = 2(l + w)
= 2 (l + [tex]\frac{2}{3} l[/tex])
= [tex]\frac{10}{3} l[/tex]
So, substitute P = 320.
[tex]\frac{10}{3} l=320[/tex]
Simplifying,
l = 96 feet
So, w = 64 feet
Hence, the dimensions are 96 feet and 64 feet.
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what is the 31st term of the sequence below?
-108, -90, -72, -54, ...
Answer:
432Step-by-step explanation:
The form for finding the nth term of an arithmetic sequence is a(n) = b +(n-1)d, where a is the function of the nth term, b is the first number in the sequence, n is the nth term, and d is the common difference. Plugging in what we know we get:
a(31) = -108 + 30 x 18
multiply
a(31) = -108 + 540
add
a(31) = 432
PLEASE MARK BRAINLIEST
Choose the polynomial that is written in standard form. 2x3y2 + 4x4y + 8x7 −3x4y2 + 4x4y5 + 10x2 6xy2 + 4x3y8 + 9x2 −2x5y3 + 4x2y2 + x2
Emily has 300 books. If Frank were to double the number of books that he now owns, he would still have fewer than Emily has.
Given p(a)=0.40, p(b)=0.50. if a and b are independent, what is the value of p(a intersection b)?
Final answer:
The value of P(A intersection B) is 0.20.
Explanation:
Given that events A and B are independent, the probability of their intersection can be found by multiplying their individual probabilities. So, P(A ∩ B) = P(A) * P(B). From the given information, P(A) = 0.40 and P(B) = 0.50. Therefore, P(A ∩ B) = 0.40 * 0.50 = 0.20.
the sum of two numbers is 8 and their difference is 2. find the numbers
A fountain on a lake sprays water in a parabolic arch modeled by the equation y = -0.3x2 + 3x. A beam of light modeled by the equation -2x + 5.5y = 19.5 passes through the fountain to create a rainbow effect. If the beam cuts the water spray at points A and B, such that point B is at a higher level than point A, what distance from the ground level is point A?
G for exercises 13 and 14, assume the sample populations do not have equal standard deviations and use the .05 significance level: (a) determine the number of degrees of freedom, (b) state the decision rule, (c) compute the value of the test statistic, and (d) state your decision about the null hypothesis.
In the x -y plane, the line 3x + 2y =72 intersects the x -axis at x=b,for some number b. What is the value of b?
Since it is specifically stated that the line intersects the x-axis, then this means that y = 0. Therefore substituting y = 0 into the given equation will us the value of x.
Substituting y = 0:
3 x + 2 * 0 = 72
3 x = 72
x = 24
Therefore this means that the line intersect the x-axis at point (24, 0).
A single fair die is tossed. Find the probability of rolling a number greater than 4.
The probability of rolling a number greater than 4 with a single fair die is 1/3 or approximately 0.33. This is calculated as the number of desired outcomes (a roll of 5 or 6) divided by the total possible outcomes (1, 2, 3, 4, 5, or 6). The actual results of a short series of rolls may vary, but over time the results should average out to this probability.
Explanation:The question is asking to calculate the probability of rolling a die and getting a number greater than 4. In a fair six-sided die, the possible outcomes of a single toss are 1, 2, 3, 4, 5, or 6, making the total possible outcomes 6. The outcomes greater than 4 are 5 and 6, which gives us 2 desired outcomes.
Remember, probability is calculated as the number of desired outcomes over the number of total possible outcomes. So in this case, the probability is 2 (the number of outcomes greater than 4) divided by 6 (the total number of outcomes when rolling a die) which gives a probability of 1/3 or approximately 0.33.
This suggests that if you throw the single fair die repeatedly over time, about one third of the results would show a number greater than 4. It's essential to remember this is a theoretical probability, and actual short-term results may vary, but they should correspond to this probability in the long run per the law of large numbers.
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How do i Divide z4 by z-3
Is this less than
Greater than
Or equal too?
Simplify 3 - (2 - 8).
What is the answer to this problme
The population of a town is modeled by the equation P = 16,581e0.02t where P represents the population t years after 2000. According to the model, what will the population of the town be in 2020?
2020 is 20 years after 2000, so put 20 where t is in the equation and evaluate.
P = 16,581e^(0.02·20) = 16,581e^0.4
P ≈ 24,736
The model predicts the population in 2020 will be about 24,736.
The volume of 10,000 drops of a liquid is 1 fluid ounce.
What is the volume of 10
drops?
2/3 (5 x 4) ÷ 3 + 6/7 I divided 3/2 is 1.5*(20)=30/3=10+1.16=11.16 is that correct not so good in math
2/3 (5 × 4) ÷ 3 + 6/7 = 334/63
Further explanationOrder of Operations in Mathematics follow this following rule :
ParenthesesExponentsMultiplication and DivisionAddition and SubtractionThis rule is known as the PEMDAS method.
In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.
Let us tackle the problem.
Let's write down the problem that is wanted to be solved:
[tex]\frac{2}{3} ( 5 \times 4 ) \div 3 + \frac{6}{7}[/tex]
[tex]\frac{2}{3} ( 20 ) \div 3 + \frac{6}{7}[/tex] → Parentheses First
[tex]\frac{40}{3} \div 3 + \frac{6}{7}[/tex] → Multiplication
[tex]\frac{40}{9} + \frac{6}{7}[/tex] → Division
[tex]\frac{280}{63} + \frac{54}{63}[/tex] → Match the denominator of the fraction
[tex]\frac{334}{63}[/tex] → Final Answer
From the results above, it can be concluded that the results of this operation 2/3 (5 × 4) ÷ 3 + 6/7 is 334/63
Learn moreInfinite Number of Solutions : https://brainly.com/question/5450548System of Equations : https://brainly.com/question/1995493System of Linear equations : https://brainly.com/question/3291576Answer detailsGrade: Middle School
Subject: Mathematics
Chapter: Order of Operations
Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS
Kim uses decals to decorate 5 cars and 2 motorbikes. She uses 2/3 of the decals on the cars and 2/5 of the remaining on the motorbikes. She has 6 decals left. How many decals does Kim use on each car?
A map has a scale of 1 in. 4 mi. You measure 3 inches between your house and the movie theatre. How many miles is it from your house to the Movie Theatre
Answer: x = 12
Step-by-step explanation:
1/3 = 4/x
1x = 12
X = 12
The number of bagels sold daily for two bakeries is shown in the table. Bakery A Bakery B 53 34 52 40 50 36 48 38 53 41 47 44 55 40 51 39 Based on these data, is it better to describe the centers of distribution in terms of the mean or the median? Why? Select the correct answer below.
Considering the information about the asymmetry in Bakery B's distribution, the median would be a more appropriate measure of central tendency for both Bakery A and B. It would provide a better representation of the "typical" number of cupcakes sold in each bakery, even if there might be outliers in the data.
Understanding Mean and Median:
Mean: The mean, also known as the average, is calculated by adding all the values in a dataset and dividing by the number of values. It's a good measure of central tendency when the data is symmetrical and free from outliers.Median: The median is the 'middle' value when the data is ordered from least to greatest. It's less sensitive to extreme values (outliers) compared to the mean.Why Median is More Appropriate (Considering the Information):
The information mentions that the distribution for Bakery B is not symmetric. This suggests that the data points in Bakery B might be skewed towards one side, with a few possibly higher or lower values compared to the majority.
Reasoning:
Option A (Mean): The mean is easily influenced by outliers. If Bakery B has outliers, the mean might not accurately represent the "typical" number of cupcakes sold for Bakery B.Option B (Mean for Perfect Symmetry): This option specifies the mean if the distributions are perfectly symmetrical. Since we know Bakery B's distribution isn't symmetrical, the mean wouldn't be the best choice.Option C (Median for Bakery B Asymmetry): This correctly identifies that the median is a better choice for Bakery B due to the asymmetry in its data.Option D (Median for Outliers): While outliers can be present in both Bakery A and B, the key factor is the asymmetry in Bakery B's distribution. The median is generally more resistant to the influence of outliers, making it a better choice in this case, even if outliers exist in both datasets.complete question:
The number of bagels sold daily for two bakeries is shown in the following table: Uchange Bakery A Bakery B 53 34 52 40 50 36 48 38 53 41 47 44 55 40 51 39 Based on these data, is it better to describe the centers of distribution in terms of the mean or the median? Why? Select the correct answer below. (3 points)
a. Mean, because there are no outliers to affect the data
b. Mean, because the distribution is perfectly symmetric for both bakeries
c. Median, because the distribution for Bakery B is not symmetric
d. Median, because there are outliers that affect both data sets
Given line L = ax + by + c = 0, b(its suppose to be the equal sign with the slash going thru it) 0
What is the slope of this function?
-a/b
a/b
b/a
44^4 = 22^4 * ? find the missing factor in exponential form. How would you solve this?
Answer:
Step-by-step explanation:
a cell phone company offers two different monthly plans.plan a charges $41 for unlimited cell phone minutes plus $0.10 per text message.Plan b charges $31 for unlimited cell phone minutes plus $0.15 per text message.How many text messages must a customer send in order for the cost of plan a to be equal to cost of plan b?
41+0.10x = 31+0.15x
10 +0.10x=0.15x
10=0.05x
x=10/.05
x= 200 text messages
check 200*0.10 = 20 +41 =61
200*0.15 = 30+31 = 61
they equal each other so number of texts is 200
A telephone survey uses a random digit dialing machine to call subjects. the random digit dialing machine is expected to reach a live person 15% of the time. in eight attempts, what is the probability of achieving exactly two successful calls?
The probability of achieving exactly two successful calls in eight attempts in a telephone survey using a random digit dialing machine is approximately 0.324 or 32.4%.
Explanation:To calculate the probability of achieving exactly two successful calls in eight attempts in a telephone survey using a random digit dialing machine, we can use the binomial distribution formula. The formula is:
P(x) = (nCx) * (p^x) * ((1-p)^(n-x))
Where:
P(x) is the probability of getting exactly x successful callsn is the total number of attemptsx is the number of successful callsp is the probability of reaching a live personPlugging in the values from the question, we have:
P(2) = (8C2) * (0.15^2) * ((1-0.15)^(8-2)) = 28 * 0.0225 * 0.411771 = 0.3239965
Therefore, the probability of achieving exactly two successful calls in eight attempts is approximately 0.324 or 32.4%.
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