Answer/Step-by-step explanation:
#8. Using the geometric mean theorem formula, h = √xy, where,
h = x
x = 4 and y = 16
Plug in the values
x = √(4*16)
x = 8
#9. Using the geometric mean formula, h = √xy, where,
h = y
x = 5 and y = 8
Plug in the values into the formula:
y = √(5*8)
y = √40
y = 6.3 (nearest tenth)
#10. Using the geometric mean formula, h = √xy, where,
h = 18
x = 12 and y = y = ???
Plug in the values into the formula:
18 = √(12*y)
Square both sides
18² = 12y
324 = 12y
Divide both sides by 12
27 = y
y = 27
A 42 inch television is 40.6 inches wide. Using the diagram below, determine the height of the television. Round your solution to the nearest hundredth.
Determine the height of television by using the pythagoras theorem.
\(\begin{gathered} (h)^2+(40.6)^2=(42)^2 \\ (h)^2=1764-1648.36 \\ h=\sqrt[]{115.64} \\ =10.753 \\ \approx10.75 \end{gathered}\)So height of the television is 10.75 inch.
The standard length of a piece of cloth for a bridal gown is 3.25 meters. A customer selected 35 pcs of cloth for this purpose. A mean of 3.52 meters was obtained with a variance of 0.27 m2 . Are these pieces of cloth beyond the standard at 0.05 level of significance? Assume the lengths are approximately normally distributed
The pieces of cloth are beyond the standard at 0.05 level of significance.
We can use a one-sample t-test to determine if the mean length of the 35 pieces of cloth is significantly different from the standard length of 3.25 meters.
The null hypothesis is that the mean length of the cloth pieces is equal to the standard length:
H0: μ = 3.25
The alternative hypothesis is that the mean length of the cloth pieces is greater than the standard length:
Ha: μ > 3.25
We can calculate the test statistic as:
t = (x - μ) / (s / √n)
where x is the sample mean length, μ is the population mean length (3.25 meters), s is the sample standard deviation (0.52 meters), and n is the sample size (35).
Plugging in the values, we get:
t = (3.52 - 3.25) / (0.52 / √35) = 3.81
Using a t-table with 34 degrees of freedom (n-1), and a significance level of 0.05 (one-tailed test), the critical t-value is 1.690.
Since our calculated t-value (3.81) is greater than the critical t-value (1.690), we reject the null hypothesis and conclude that the mean length of the 35 pieces of cloth is significantly greater than the standard length at the 0.05 level of significance.
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A bank account of 45000 loses 3.5% of its value each month. What is the value of the account after 1 year?
If a bank account of 45000 loses 3.5% of its value each month, based on the exponential function, its value after 1 year is $29,345.40.
What is an exponential function?An exponential function is described as a mathematical function in the form of f(x) = aˣ.
In this function, x is a variable and a is a constant called the base.
Exponential functions may represent exponential growth or exponential decay.
In this situation, we have an exponential decay function as follows:
Initial value of the bank account = $45,000
Decay rate per month = 3.5%
Number of periods = 12
Decayed value after 1 year = Initial value x (1 - 0.035)^12
= $45,000 x 0.965^12
= $45,000 x 0.65212
= $29,345.40
Thus, the bank account will be valued at $29,345.40 after 1 year.
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chapter 4.3 mc 1 can 2 non zero whole numbers have a greatest common multiple? explain
No, two non-zero whole numbers cannot have the greatest common multiple.
The greatest common multiple (GCM) of two numbers is the smallest positive integer that is a multiple of both numbers. If two numbers have a GCM, it means that they have a common divisor greater than 1.
However, if two numbers are relatively prime (i.e., have no common divisors other than 1), then they cannot have a GCM. For example, the numbers 7 and 10 have no common factors other than 1, so their GCM is 1.
Therefore, two non-zero whole numbers can have a greatest common divisor, but they cannot have a greatest common multiple.
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what is the variance of the number of large earthquakes that occur in the united states in a given year?
By using a statistical method called regression to model the relationship between the number of earthquakes and various factors that may influence them, such as geological features or human activities.
To answer this question, we need to use a statistical concept called variance. In simple terms, variance measures how spread out a set of data is from its mean or average value.
In the case of earthquakes, we can use historical data to calculate the average number of large earthquakes that occur in the US per year, and then calculate the variance to see how much variation there is in the actual number of earthquakes from year to year.
By doing so, we can make predictions about the expected number of earthquakes in the future and estimate their variance.
In mathematical terms, the variance of a random variable X can be calculated as follows:
Var(X) = E[(X - μ)²]
Where E is the expected value operator, μ is the mean or average value of X, and ² means "squared." This formula tells us to subtract the mean from each value of X, square the result, take the average of these squared differences, and that gives us the variance of X.
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10,infinity
Interval notation-
Inequality notation-
Answer:
hi
Step-by-step explanation:
plsssssssss help me in this i need it asap ill give brainly
Answer:
16
Step-by-step explanation:
Answer:
Your answer is 16
Step-by-step explanation:
The answer is 16 because You have to find a pattern in the table to help you answer the question, your pattern is +1, +2, +4, +5
A rhombus, which is a quadrilateral with 4 equal sides, is plotted on the coordinate plane. The coordinates of the vertices are (9, 6), (6, 2), (1, 2), and (4, 6). How long is each side of the rhombus?.
18.46 is each side of the rhombus .
What is coordinate plane?
Two number lines combine to produce the coordinate plane, a two-dimensional surface. The x-axis is the name given to one horizontal number line. The y-axis is the name given to the other number line, which is vertical. The origin is where the two axes come together. The coordinate plane allows us to graph points, lines, and more.We apply the distance formula appropriately to get the distance between the side of the Rhombus
D = √(x2-x1)² + (y2-y1)² ( 9,6 ) , ( 6,2 )
let us use the points (9,6) and (6,2)
D = √(6 + 9)² + (2- 6)²
D = √(15)² + ( -4)²
D = √225 + 16
D = √341
D = 18.46
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A jar has 2 pennies, 5 nickels, 3 dimes, and 2 quarters. What is the probability of drawing a penny,
replacing it, and drawing another penny?
There is a 2 in 12 chance of drawing a penny
Step-by-step explanation:
Answer: 2/12
Step-by-step explanation:
There are 12 coins all together, and 2 pennies which means there is a 2/12 chance to draw a penny. Then they replace the penny and draw another time, so by replacing the penny the probability doesn't change and there is still a 2/12 chance of drawing a penny.
A simple random sample of 60 items resulted in a sample mean of 25. The population standard deviation is o = 7. (Round your answers to two decimal places.) (a) What is the standard error of the mean, 0-? (b) At 95% confidence, what is the margin of error?
a) The standard error of the mean is 0.90
b) The marginal error is 1.76
Given,
Number of samples in the population, n = 60
Sample mean of the population, μ = 25
Standard deviation of the population, σ = 7
We have to find the standard error of the mean and the margin of error at 95% confidence.
Here,
a) The standard error of the mean = Standard deviation / root of sample
= σ / √n
= 7/√60
= 0.90
b) The margin error;
Zₐ/₂ × σ / √n
= Zₐ/₂ × 7/√60
= 1.96 × 0.90
= 1.76
Therefore,
a) The standard error of the mean is 0.90
b) The marginal error is 1.76
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Can i get some help ::
Answer:
last option
...................................
air is being pymped into a spherical balloon at a rate of 4.5 cubic feet per minute. find the rate of change of the the radius when the radius is 2 feet.
When the radius is 2 feet, the rate of change of the radius is approximately 0.089 ft/min (rounded to three decimal places).
To find the rate of change of the radius when the radius is 2 feet, and air is being pumped into a spherical balloon at a rate of 4.5 cubic feet per minute, we can use the following steps:
Determine the volume formula for a sphere: V = (4/3)πr³.
Differentiate the volume formula with respect to time (t) to find dV/dt: dV/dt = d((4/3)πr³)/dt.
Apply the chain rule: dV/dt = (4/3)π(3r²)(dr/dt).
Simplify the equation: dV/dt = 4πr²(dr/dt).
Solve for the rate of change of the radius (dr/dt): dr/dt = dV/dt / (4πr²).
Plug in the given values: dV/dt = 4.5 cubic feet per minute and r = 2 feet.
Calculate the rate of change of the radius (dr/dt): dr/dt = 4.5 / (4π(2²)).
Simplify and compute the answer: dr/dt = 4.5 / (16π).
When the radius is 2 feet, the rate of change of the radius is approximately 0.089 ft/min (rounded to three decimal places).
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What are the tax consequences to Euclid from the following independent events? In your computations, do not round intermediate division. If required, round the per share answer to two decimal places. Round all other answers to the nearest dollar. a. Euclid bought 500 shares of common stock five years ago for $50,000. This year, Euclid receives 20 shares of common stock as a nontaxable stock dividend. As a result of the stock dividend, Euclid's per share basis is $ X. b. Assume instead that Euclid received a nontaxable preferred stock dividend of 20 shares. The preferred stock has a fair market value of $5,000, and the common stock, on which the preferred is distributed, has a fair market value of $75,000. After the receipt of the stock dividend, the basis of the preferred stock is $ X, and the basis of the common stock is Φ
Euclid receives 20 shares of common stock as a nontaxable stock dividend.The basis of the common stock remains the same as in scenario a, which is $96.15 per share.
To calculate the per share basis, we divide the original purchase cost by the total number of shares (including the dividend shares). In scenario b, Euclid receives a nontaxable preferred stock dividend of 20 shares. The preferred stock has a fair market value of $5,000, and the common stock, on which the preferred is distributed, has a fair market value of $75,000.
The tax consequences involve determining the new basis of the preferred stock and the common stock after the dividend. a. To find the per share basis of Euclid's common stock after receiving the stock dividend, we divide the original purchase cost by the total number of shares. The original purchase cost was $50,000 for 500 shares, which means the per share basis was $50,000/500 = $100. After receiving 20 additional shares as a dividend, the total number of shares becomes 500 + 20 = 520.
Therefore, the new per share basis is $50,000/520 = $96.15. b. In this scenario, Euclid receives a preferred stock dividend of 20 shares. The preferred stock has a fair market value of $5,000, and the common stock has a fair market value of $75,000. To determine the new basis of the preferred stock, we consider its fair market value.
Since the preferred stock dividend is nontaxable, its basis is equal to the fair market value, which is $5,000.
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For the graph x = 1 find the slope of a line that is perpendicular to it and the slope of a line parallel to it.
Explain your answer with two or more sentences
Answer:
Step-by-step explanation:
Firstly we know that in geometry parallel lines have the same slope
\(m_1=m_2\)
and ,
perpendicular lines have the slope denoted by the formula
\(m_1m_2=-1\).
Secondly ,
x = 1 is a line that is parallel to the y-axis, and any line parallel to the y-axis has undefined slope.
and the slope of a line perpendicular to x = 1 would be parallel to the x-axis and any line parallel to the x-axis has the slope of zero.
Slope for parallel line is undefined and slope for perpendicular line is zero.
What is slope?The slope or gradient of a line is a number that describes both the direction and the steepness of the line.
Given:
graph equation, x=1
The slope for parallel line is
m1 = m2
and, the slope for perpendicular lines is
m1 * m2 =-1
As, x = 1 is a line is parallel to the y-axis, and line parallel to the y-axis has undefined slope.
Also, the slope of a line perpendicular to x = 1 would be parallel to the x-axis.
So, line will have the slope zero.
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Find the slope of each line
Answer:
- 1/6
Step-by-step explanation:
Giving extra points if you can answer
Answer:
+16
Step-by-step explanation:
It’s adding 16 every time
PLEAAASEEE ANSWER HELP
DONT ANSWER WITH LINKS PLEzeee
Answer:
See below
Step-by-step explanation:
Parallel lines have the same slope.
13) The slope would still be 2/3
14) The slope would still be 9/5
One litre of milk is poured into a cylindrical container of radius 10 cm. Calculate the depth of the milk in cm)to 2 dp. ( take pi = 3.142)
Answer:
Depth=3.18cm
Step-by-step explanation:
V=πr2h
1LITRE=1000CM3
v=1000cm³
1000cm3=3.142×10²×Depth
Depth= 1000/3.142×100
Depth=3.18cm
Find X
x = 4
x = 5
x = 6
Answer:
Given triangles are similar
\( \frac{9}{6} = \frac{x}{4} \\\frac{3}{2} = \frac{x}{4} \\ x = \frac{(3 \times 4)}{2} \\ \boxed{x = 6}\)
Value of x is 6.4w+5=20-w
what is the value of w
Answer:
w = 3
Step-by-step explanation:
4w + 5 = 20 - w
so first you have to know that when there is no number before the variable think of it as one so the w on the right side is 1 w now for the solving,
4w + 5 = 20 - 1w
+ 1 w + 1 w
5w + 5 = 20 and the -w and +w cancel
-5 -5
5w = 15 the +5 and the -5 cancel
5w/5 cancel then divide 15/5 and you get 3 therefore the value of w is 3 hope this helped u sorry if it's incorrect have an amazing day:)
PLEASE ANSWER!!!! 20 POINTS
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Find the mean x of the data 16, 31, 38, 24, 36
Answer:
Find the mean x of the data 16, 31, 38, 24, 36
16 + 31 + 38 + 24 + 36
= 145
145 ÷ 5
= 29Step-by-step explanation:
You're welcome.
A tanker truck fills the gas station’s reservoir at the rate of 12 1/2 gallons per minute.
If the reservoir was empty and it is now 35 gallons full, how long has the tanker been filling the reservoir?
Answer: 2.8 minutes
Step-by-step explanation:
If it takes 12.5 gallons per minutes to fill the reservoir, then we have to divide 35 and 12.5.
35 ÷ 12.5 = 2.8 minutes
Since it takes 12.5 gallons per minutes to fill the reservoir, it will take 2.8 minutes to fill the reservoir.
hope this helps!
Answer:
A submarine descends at a rate of 2.6 kilometers per hour.
If the ocean floor is 6.24 kilometers below sea level, how long will it take the submarine to descend to the ocean floor?
Round your answer to the nearest tenth. Enter your answer in the box.
answer:
2.4
hours
Step-by-step explanation:
What are not exponential functions?.
It is not of exponential order for h(t) = et2. F is of exponential order and has order. F is piecewise continuous. No function's Laplace transform is possible. g(t) = eat, where t [0,.
Non-exponential form:
To represent a scientifically notated number as a non-exponential quantity: • Remove the exponential component of the number by moving the decimal point the same number of places as the exponent's value. The decimal is moved to the right by the same number if the exponent is positive.
Here are a few instances of functions other than exponential ones. y = 3 1 x as a result. n = 0 3 p as a result. Because y = ( 4) x. Since b = 1, y = 6 0 x.
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Maggie's brother is 7 years younger than twice her age. The sum of their ages is 32.
How old is Maggie?
Maggie is
years old
Answer:
Maggie is 13 years old
Step-by-step explanation:
Maggie + Brother = 45
B = 3M - 7 Then M + 3M - 7 = 45
4M = 52
M = 13 and B = 3(13) - 7 = 32
Maggie = 13 years old
& Brother = 32 years old
Ashley had 4/ 5 of a spool of yarn. She used 2/5 of it for her project. What fraction of the spool was used for her project? Write your answer in simplest form
Ashley used 8/25 of the spool for her project.
To determine the fraction of the spool that Ashley used for her project, we need to multiply the fraction of the spool she had (4/5) by the fraction she used (2/5):
(4/5) * (2/5) = 8/25
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Which of the input-output tables represent a function?
Answer:
Table C
Explanation:
Trust bro
to (7x – 5) – (3x – 2)?
Answer:
x=0.75
Step-by-step explanation:
Plss help if can! Thankss!
Answer:
The volume of the box is 200
Step-by-step explanation:
Answer:
I believe the answer is 200 cubic inches.
Step-by-step explanation:
Multiply 5 times 5 since it's a square base then multiply that by the height (8).
I need help with this
1. Since triangle ABC and DEF are congruent, the value of x is -3
2. length AB = 24
length DE = 24
What are congruent triangles?If the three angles and the three sides of a triangle are equal to the corresponding angles and the corresponding sides of another triangle, then both the triangles are said to be congruent.
Since triangle ABC is congruent to triangle DEF , then we can say that line AB is equal to line DE
therefore;
12- 4x = 15-3x
collect like terms
12 -15 = -3x +4x
x = -3
therefore the value of x is -3 and
AB = 12 - 4x
AB = 12 -4( -3)
AB = 12 +12 = 24
DE = 15-3x
= 15-3(-3)
= 15 + 9
= 24
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EX 2: The diameter is 24 cm Find the length of CD