A square pyramid is sliced in half, parallel to the base.
Which of the following statements describes the cross-section?
A triangle with the same height as the pyramid
A square that is smaller than the base
A square that is congruent to the base
A trapezoid that is shorter than the pyramid
Answer:
I think the answer is a because it not getting any smaller
Answer:
I think a trapezoid that is shorter than the pyramid because it's parallel to the base which automatically know it's not the same height because there's a certain length thats cut off.
Step-by-step explanation:
Explanation of how we can make (a) subject
Answer:
Step-by-step explanation:
Trigonometric problem
please help me
\(please \: see \: the \: attached \: picture \: for \\ full \: solution \\ hope \: it \: helps\)
Solve the problem. 31) The five sales people at Southwest Appliances earned commissions last year of $14,000, $21,000, $43,000, $16,000, and $26,000. Find the mean commission.
Answer:
Therefore, the mean commission earned by the five salespeople at Southwest Appliances is $24,000.
Step-by-step explanation:
To find the mean (average) commission of the five salespeople at Southwest Appliances, you need to calculate the sum of all the commissions and divide it by the total number of salespeople.
Sum of commissions = $14,000 + $21,000 + $43,000 + $16,000 + $26,000
Sum of commissions = $120,000
Total number of salespeople = 5
Mean commission = Sum of commissions / Total number of salespeople
Mean commission = $120,000 / 5
Mean commission = $24,000
Therefore, the mean commission earned by the five salespeople at Southwest Appliances is $24,000.
You work in Social Media as a consultant. You are working on a new report to examine trends in Social Media usage and age. You conducted a survey of 1072 people randomly selected in the United States (you limited minimum age to 12). The file "Usagef.xlsx" has results of the survey. For each Social Media platform you have a 0/1 variable indicating whether or not the person said they used the platform in the last 6 months. For each of those variables, 1 means the person did use the platform in the last 6 months and 0 means they did not. You also have the age of each respondent calculated based on birth date (so 43.56 means the individual is 43.56 years old). There are two additional variables:
Young adult: 1=respondent is under 35; 0=respondent is 35 or over.
Platforms Used: The total number of Social Media platforms used in the last 6 months.
Please use this information and the data in the excel spreadsheet "Usagef.xlsx" to answer the following questions:
Assuming the sample is a random sample of the U.S. population, what is the upper bound of the 95% confidence interval for the average age in the U.S?
The upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.
To determine the upper bound of the 95% confidence interval for the average age in the U.S., we can use the sample data from the survey. The sample size is 1072 people, randomly selected from the U.S. population, with a minimum age of 12. By calculating the average age of the respondents, we can estimate the average age of the entire U.S. population.
Using the given information that the average age of the respondents is 43.56 years, and assuming that the sample is representative of the population, we can calculate the standard error. The standard error measures the variability of the sample mean and indicates how much the sample mean might deviate from the population mean.
Using statistical methods, we can calculate the standard error and construct a confidence interval around the sample mean. The upper bound of the 95% confidence interval represents the highest plausible value for the population average age based on the sample data.
Therefore, based on the provided information and calculations, the upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.
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a national survey of middle school students asks, "how many hours they spend doing homework a day?" Which statement best respresents the population?
Answer:
30 min
Step-by-step explanation:
Hello Guys, I really need help with these questions. Here they are.
Solve each absolute value inequality and show its solution set.
(a) |x|<7
(b) |x+3|<9
(c) |y-8|>11
(g) |3x-1| greater or equal to 18
|4y+3| less than or equal to 13
Please help me with these. WIll give you 20 pts. I will award brainly for the best answer! Make the answers in numbers (inequalities)
Answer:
a.\(-7 < x < 7\)
b.\(-12 < x < 6\)
c. Two answers are: y < -3 or y > 19
d. Two answers are x ≤ -17/3 or x ≥ 19/3
e. -4 ≤ y ≤ 5/2
Step-by-step explanation:
Given the following questions:
Question one:
\(|x| < 7\)
x is less than 7
\(=-7 < x < 7\)
Question two:
\(|x+3| < 9\)
\(x+3 > -9\)
\(3-3=0\)
\(-9+-3=-12\)
\(x > -12\)
\(x+3 < 9\)
\(3-3=0\)
\(9-3=6\)
\(x < 6\)
x is greater than -12, while less than 6
\(-12 < x < 6\)
Question three:
\(|y-8| > 11\)
\(y-8 < -11\)
\(-8+8=0\)
\(-11+8=-3\)
\(y < -3\)
\(y-8 > 11\)
\(-8+8=0\)
\(11+8=19\)
\(y > 19\)
Two answers are: y < -3 or y > 19
Question four:
|3x - 1| ≥ 18
3x - 1 ≤ -18
-1 + 1 = 0
-18 + 1 = -17
3x ≤ -17
x ≤ -17/3
3x - 1 ≥ 18
-1 + 1 = 0
18 + 1 = 19
3x ≥ 19
x ≥ 19/3
Two answers are: x ≤ -17/3 or x ≥ 19/3
Question five:
|4y + 3| ≤ 13
|4y + 3| ≤ 13 = -13 ≤ 4y + 3 ≤ 13
-13 ≤ 4y + 3 ≤ 13
4y + 3 ≥ -13
3 - 3 = 0
-13 + - 3 = -16
4y ≥ -16
4 ÷ - 16 = -4
y ≥ -4
4y + 3 ≤ 13
3 + -3 = 0
13 - 3 = 10
4y ≤ 10 = 10/4 ÷ 2 = 5/2
y ≤ 5/2
-4 ≤ y ≤ 5/2
Hope this helps.
Estimate 0.03415 to the nearest hundredth. Express your answer as a single digit times a power of ten
Answer:
3 raise to power -100
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
question 8 is in the pic
Answer:
A. The median score of Class A is greater than the median score of Class B.
Step-by-step explanation:
This is the only true statement.
Hope it helps!
Answer:
A the media score of the class A is greater than the media score of class B
HEY GUYS HELP ME AND ILL MARK YOU BRAINLIEST - THANNKYOU
Answer:
180-46=134
so if u do the math u get
X=134
the domain of the inverse function is the interval from to and its range is the interval from to
Therefore , the solution of the given problem of domain comes out to be range of f-1(x) is the scope of f(x).
Describe domain.The range of potential values that a function can take is known as its domain. These numbers serve as a representation for the cross of an equation like f. (x). The range of potential numbers on which a function can be used is known as its domain. The value which the function gives following the insertion of a x value is this set. A formula with x as the predictor variables and y as even the dependent variable is defined as
Y = f. (x).
Here,
Given :
To find domain and range of inverse function :
=> Inverse Functions' Subject and Scope .
The scope of an inverse function, f1, is the spectrum of a function, f(x).
The range of f-1(x) is the scope of f(x).
Therefore , the solution of the given problem of domain comes out to be range of f-1(x) is the scope of f(x).
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i) Multiply: (3.1x10°) x ( 1.5 x 10) = j) Divide: (3.1x10) / ( 1.5 x 10') = Small angle formula is a very useful approximation for angles smaller than about 0.25 radian (~15°). It allows calculation
i) The multiplication of (3.1x\(10^0\)) and (1.5x10) results in 4.65x\(10^1\).
j) The division of (3.1x10) by (1.5x\(10^{-1\)) equals 2.07x\(10^1\).
i) To multiply numbers in scientific notation, we multiply the coefficients (3.1 and 1.5) and add the exponents (0 and 1) together. In this case, 3.1 multiplied by 1.5 gives us 4.65. Adding the exponents, \(10^0\) multiplied by \(10^1\) results in \(10^1\). Therefore, the final result is 4.65x\(10^1\).
j) When dividing numbers in scientific notation, we divide the coefficients (3.1 and 1.5) and subtract the exponents (1 and -1) from each other. Dividing 3.1 by 1.5 gives us approximately 2.07. Subtracting the exponents, \(10^1\)divided by \(10^{-1\) is equivalent to \(10^{(1-(-1))}\) which simplifies to 10^2. Hence, the result is 2.07x\(10^1\).
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for a primary settling tank receiving an average flow rate of 0.540 m3/s with a tank surface area of 900 m2 and depth of 3.2 m, compute the overflow rate and detention time.
The overflow rate of the tank is 0.0006 m³/m².s and the detention time is 5333.33 seconds or 1.48 hours or 1 hour 29 minutes and 17.99 seconds.
The given primary settling tank receives an average flow rate of 0.540 m³/s, has a tank surface area of 900 m² and depth of 3.2 m.
We can compute the overflow rate and detention time using the formulas as follows;
Overflow rate formula:
Overflow rate = Flow rate / Surface area
Overflow rate = 0.540 / 900Overflow rate = 0.0006 m³/m².s
Detention time formula:
Detention time = Volume of tank / Flow rate
Volume of tank = Surface area × Depth
Volume of tank = 900 × 3.2Volume of tank = 2880 m³
Detention time = 2880 / 0.540
Detention time = 5333.33 seconds or 1.48 hours or 1 hour 29 minutes and 17.99 seconds.
Therefore, the overflow rate of the tank is 0.0006 m³/m².s and the detention time is 5333.33 seconds or 1.48 hours or 1 hour 29 minutes and 17.99 seconds.
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A manager uses the following equation to predict monthly
receipts: Y=450+10t. What is the forecast for July of 2011 if t = 1
in April of the same year?
a.
500
b.
490
c.
480
d.
470
The forecast of monthly receipts for July 2011, based on the given equation Y=450+10t, with t=1 in April of the same year, is 460.
The equation Y=450+10t represents a linear relationship between the monthly receipts (Y) and time (t), with an initial value of 450 and a constant rate of increase of 10.
By substituting t=1 in April, we can determine the number of months that have passed since the initial value. In April, t=1, so one month has passed since the initial value.
To find the forecast for July, we need to determine the value of Y when t=4 (July is four months after April). Plugging t=4 into the equation, we get Y=450+10(4) = 450+40 = 490.
Therefore, the forecasted monthly receipts for July 2011 would be 490.
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(b) What does the shaded region represents in the given figure?
8th grade math !!
g(x) = x+6/2
Determine for each x-value whether it is in the domain of g or not.
-6
0
2
Answer:All in domain
Step-by-step explanation:
Answer:all in domain
Step-by-step explanation:I did it on khan
Please help! ............................................
Answer:
B. 20
Step-by-step explanation:
60 = 2x + 20
40 = 2x
40/2 = 2x/2
20 = x
Hope this helps :)
Answer:
B. 20
Step-by-step explanation:
Look at the triangular prism below. Each triangular face of the prism has a base of 3 centimeters (cm)and a height of 4 cm. The length of the prism is 12 cm.
What is the volume of this triangular prism?
Answer:
chupapi muñeño
Step-by-step explanation:
Answer:
144 cm?
Step-by-step explanation:
V
\(v = l \times w \times h \\ v =12 \times 4 \times 3 \\ v = 12 \times 12 \\ v = 144\)
Write the linear equation for the graph of line q.
Do not use any spaces in your answer. Type any fractions in the form a/b.
y = __x+__
Answer:
y=-2/1x+3
i need more characters sorry
work out the value of x :)
Answer:
x=67.5
Step-by-step explanation:
A full circle is 360°, and the right angle is 90°. The rest of the angle is 270°, or 4x (from 3x+x).
4x = 270
x=67.5
name a point that is sqrt(2)away from (-1 5)
The point which is √2 distance away from the point (-1, 5) is (-1, 5 - √2).
In order to find a point that is √2 away from (-1, 5), we need to find a point that is at a distance of √2 from (-1, 5). Let the point we need to find be (x, y),
Using the distance formula, we can set up the following equation:
√[(x - (-1))² + (y - 5)²] = √2,
Simplifying this equation,
We get,
(x + 1)² + (y - 5)² = 2,
This equation represents a circle with center (-1, 5) and radius √2.
So, one point that satisfies this equation is (-1, 5 - √2), which is √2 away from (-1, 5).
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The function f(x)=1/6(2/5)^x is reflected across the y-axis to create the function g(x). Which ordered pair is on g(x)?
Answer:
the ordered pair (0, 1/6)
Step-by-step explanation:
To reflect a function across the y-axis, we replace every occurrence of x with -x. Therefore, the function g(x) is given by:
g(x) = f(-x) = 1/6(2/5)^(-x)
To find an ordered pair on g(x), we need to choose a value of x and evaluate g(x). For example, if we choose x = 0, then:
g(0) = 1/6(2/5)^(-0) = 1/6
Therefore, the ordered pair (0, 1/6) is on the graph of g(x).
Help me pleaseeee:(((
Answer:
-10, -11, -13, -15, -20
t≤-10
Step-by-step explanation:
Start by solving for t
-8t≥80
t≤ -10
(we flip the inequality sign because we are dividing by a negative)
Then just select all the numbers that are less than or equal to 10
-10, -11, -13, -15, -20
The equivalent inequality is what we solved for
t≤-10
Solve the following equation on the interval 0 ≤ θ < 2π.
- sin ² θ + cos² θ = sin θ+1
The equation -sin²θ + cos²θ = sinθ + 1 can be simplified to cos²θ - sinθ - 1 = 0. By applying the Pythagorean identity cos²θ = 1 - sin²θ, we can substitute cos²θ with 1 - sin²θ in the equation.
Starting with the equation -sin²θ + cos²θ = sinθ + 1, we can substitute cos²θ with 1 - sin²θ using the Pythagorean identity. This gives us 1 - sin²θ - sinθ - 1 = 0. Simplifying further, we have -sin²θ - sinθ = 0. Factoring out sinθ, we get sinθ(-sinθ - 1) = 0.
To find the values of θ, we set each factor equal to zero and solve for θ. The solutions are sinθ = 0 and -sinθ - 1 = 0. For sinθ = 0, the solutions are θ = 0 and θ = π. For -sinθ - 1 = 0, we have sinθ = -1, which does not have solutions in the given interval since the sine function ranges from -1 to 1. Therefore, the solutions for the equation on the interval 0 ≤ θ < 2π are θ = 0 and θ = π.
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The triangles are congruent by SSS
Which transformation(s) can be used to map one
triangle onto the other? Select two options.
- reflection only
- translation only
- dilation, Then translation
- rotation, then translation
- rotation then dilation
Answer:
A and D
Step-by-step explanation:
-Reflection only
-rotation, then translation
Reflection and rotation, then translation is the transformation(s) can be used to map one triangle onto the other.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
The triangles are congruent by SSS
JKL and MKL are the two triangles which sharing same segment KL.
A reflection is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as a set of fixed points this set is called the axis or plane of reflection.
Rotation, then translation is also used in the given triangle.
Hence, reflection and rotation, then translation is the transformation(s) can be used to map one triangle onto the other.
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To test the hypothesis that the mean lifetime of light bulbs is less than 800 hours, where the population is normally distributed and the population standard deviation is known to be 20 hours, a random sample of 36 light bulbs is tested and yielded a sample mean of 798 hours. Find the p-value for the test. After finding the p-value, indicate which interval below contains the p-value.a. .2001 to 5000.b. .0000 to .0300.c. .01 to 1000.d. .5001 to 1.000.e. .1001 to 2000.
The range of the interval where p-value 0.2514 lies is given by option a. 0.2001 to 5000.
To find the p-value for the test,
calculate the z-score and then use the z-table or a calculator to find the corresponding p-value.
The z-score is calculated using the formula,
z = (sample mean - population mean) / (population standard deviation / √(sample size))
here,
Sample mean (X) = 798 hours
Population mean (μ) = 800 hours
Population standard deviation (σ) = 20 hours
Sample size (n) = 36
Substituting these values into the formula, we have,
z = (798 - 800) / (20 /√(36))
= -2 / (20 / 6)
= -2 / 3
= -0.67
Now, the p-value associated with the z-score of -0.67 use a calculator.
Using a z-calculator,
The area to the left of -0.67 is approximately 0.2514.
However, since we are testing the hypothesis that the mean lifetime of light bulbs is less than 800 hours (one-tailed test),
The area to the left of -0.67.
The p-value is 0.2514.
Therefore, the interval contains the p-value is given by option a. 0.2001 to 5000
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Which of these sequences is a geometric sequence?
Answer:
The answer is option d.
Hope this helps you.
Answer:
D
3,9,27,81,243,729
Step-by-step explanation:
Identify the independent variable and the dependent variable.
The years, y, a tree grows and the rings, r, in the tree trunk
the number of
The independent variable is
The dependent variable is
the number of
Answer:
independent is r and dependent is y
Step-by-step explanation:
An independent variable is exactly what it sounds like. It is a variable that stands alone and isn't changed by the other variables you are trying to measure.
a tree grows a ring for each year, therefore, to determine a trees age, you need to count the rings. the rings "r" dictate the age or years "y"
A vaccine is 95 percent effective. What is the probability that it is not effective for one and only one individual out of 20 individuals? Multiple Choice .0179 .3585 .0189 .3774
The probability that the vaccine is not effective for one and only one individual out of 20 individuals can be calculated using the binomial probability formula. The correct answer is 0.0179.
To calculate the probability that the vaccine is not effective for one and only one individual out of 20 individuals, we can use the binomial probability formula.
The formula is given by P(X = k) = C(n, k) * \(p^k\) * \((1-p)^(n-k)\), where P(X = k) is the probability of getting exactly k successes, n is the number of trials, p is the probability of success in a single trial, and C(n, k) is the binomial coefficient.
In this case, we want to find the probability of one individual out of 20 not being protected by the vaccine, which is equivalent to one failure out of 20 trials. The probability of the vaccine not being effective for one individual is 1 - 0.95 = 0.05.
Using the binomial probability formula, we substitute n = 20, k = 1, and p = 0.05, and calculate the probability P(X = 1). The correct answer is 0.0179, which is the probability that the vaccine is not effective for one and only one individual out of 20 individuals.
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Consider the density curve plotted below:1920212223240.0250.050.0750.10.1250.150.1750.20.2250.250.275XPDF(X)Density CurveFind P(X≤22) : 0.1Find P(X>21) : Calculate the following. Q1: median: Q3: IQR:
In this problem, we have a graph of the PDF (Probability Density Function). To compute probabilities in a certain interval (a, b), we must integrate this function from x = a to x = b.
(1) P(X ≤ 22)
We integrate the function from x = -∞ to x = 22, we get:
\(\begin{gathered} P(X\text{ }≤\text{ }22)=\int_{-\infty}^{22}dx\cdot PDF(x) \\ =\int_{-\infty}^{20}dx\cdot PDF(x)+\int_{20}^{22}dx\cdot PDF(x) \\ =\int_{-\infty}^{20}dx\cdot0+\int_{20}^{22}dx\cdot0.25 \\ =0+0.25\cdot(22-20) \\ =0.25\cdot2 \\ =0.5. \end{gathered}\)We separated the integral to use the data from the graph.
(2) P(X > 21)
We integrate the function from x = 21 to x = ∞, we get:
\(\begin{gathered} P(X>21)=\int_{21}^{\infty}dx\cdot PDF(x) \\ =\int_{21}^{24}dx\cdot PDF(x)+\int_{24}^{\infty}dx\cdot PDF(x) \\ =\int_{21}^{24}dx\cdot0.25+\int_{24}^{\infty}dx\cdot0 \\ =0.25\cdot(24-21)+0 \\ =0.25\cdot3 \\ =0.75. \end{gathered}\)(3) The Q1 is the value x = a of the interval (-∞, a) that gives a probability equal to 0.25. So we must find x such that:
\(P(XUsing the data of the graph, we have:\(\begin{gathered} \int_{-\infty}^adx\cdot PDF(x)+\int_{20}^adx\cdot PDF(x)=0.25, \\ \int_{-\infty}^{20}dx\cdot0+\int_{20}^adx\cdot0.25=0.25, \\ 0.25\cdot(a-20)=0.25, \\ a-20=\frac{0.25}{0.25}, \\ a-20=1, \\ a=21. \end{gathered}\)(4) The median is the value x = a of the interval (-∞, a) that gives a probability equal to 0.5. Proceeding as before, we have:
\(\begin{gathered} \int_{-\infty}^adx\cdot PDF(x)+\int_{20}^adx\cdot PDF(x)=0.5, \\ \int_{-\infty}^{20}dx\cdot0+\int_{20}^adx\cdot0.25=0.5, \\ 0.25\cdot(a-20)=0.5, \\ a-20=\frac{0.5}{0.25}, \\ a-20=2, \\ a=22. \end{gathered}\)(5) The Q3 is the value x = a of the interval (-∞, a) that gives a probability equal to 0.75. Proceeding as before, we have:
\(\begin{gathered} \int_{-\infty}^adx\cdot PDF(x)+\int_{20}^adx\cdot PDF(x)=0.75, \\ \int_{-\infty}^{20}dx\cdot0+\int_{20}^adx\cdot0.25=0.75, \\ 0.25\cdot(a-20)=0.75, \\ a-20=\frac{0.75}{0.25}, \\ a-20=3, \\ a=23. \end{gathered}\)(6) The IQR is given by the difference between Q3 and Q1. Using the results from above, we get:
\(IQR=Q3-Q1=23-21=2.\)Answer• P(X ≤ 22) = 0.5
,• P(X > 21) = 0.75
,• Q1 = 21
,• median = 22
,• Q3 = 23
,• IQR = 2