e total weight of two garden statues was 714 pounds. If one statue weighed 342 pounds, how heavy was the other one?
Answer:
372
Step-by-step explanation:
Since we know the total weight which is 714 and we know the weight of one garden which is 342, all we need to do now is subtract:
714 - 342 = 372
Brett is performing a hypothesis test in which the population mean is 310 and the standard deviation is 20. his sample data has a mean of 295 and a sample size of 50. which of the following correctly depicts the z-statistic for brett’s data? –5.30 –0.11 4.28 6.27
The z-statistic for Brett's data is found to be as given by: Option A: -5.30 (approx).
How to find the value of z-statistic for population mean?Suppose we're specified that:
The sample mean = \(\overline{x}\)The population mean = \(\mu\)The population standard deviation = \(\sigma\)The sample size = nThen the z-statistic for this data is found as:
\(Z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}}\)
For this case, we've got:
The sample mean = \(\overline{x}\) = 295The population mean = \(\mu\) = 310The population standard deviation = \(\sigma\) = 20The sample size = n = 50Thus, we get:
\(Z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}} = \dfrac{295 - 310}{20/\sqrt{50}} \approx -5.30\)
Thus, the z-statistic for Brett's data is found to be as given by: Option A: -5.30 (approx).
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According to the given data and applying it's formula, the z-statistic is of z = -5.30.
What is the z-statistic formula?It is given by:
\(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)
The parameters are:
\(\overline{x}\) is the sample mean.\(\mu\) is the value tested at the null hypothesis.\(\sigma\) is the standard deviation of the population.n is the sample size.In this problem, the values of the parameters are given by:
\(\overline{x} = 295, \mu = 310, \sigma = 20, n = 50\)
Hence, the z-statistic is given by:
\(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)
\(z = \frac{295 - 310}{\frac{20}{\sqrt{50}}}\)
z = -5.30.
The z-statistic is of z = -5.30.
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Solve for y
15x + 5y = 26
The value of y is ( 26-15x)/15
What is subject of formula?The subject of a formula is the variable that is being worked out. It can be recognised as the letter on its own on one side of the equals sign.
The subject will only stay on its own at either side of the equal sign. This means that all other terms will be eliminated for the proposed subject.
Therefore, making y the subject of formula in 15x+15y = 26
eliminating 15x by subtracting 15x from both sides
15y = 26-15x
dividing both sides by 15
y = ( 26-15x)/15
therefore the value of y is ( 26-15x)/15.
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Of 800 Participants in a marathon, 120 are running to raise money for a cause. How many participants out of 100 are running for a cause?
Answer:
15
Step-by-step explanation:
800 = 120
100 = x (number we have to find)
800x = 12000
x = 12000 ÷ 800
x = 15
find the area of the trapezoid below by decomposing it into fimilar shape?
Answer:
168 feet
Step-by-step explanation:
area of trapezoid = length (a)+ breadth(b) / 2 height
in a certain country, the probability that a baby that is born is a boy is 0.52 and the probably that a baby that is born is a girl is 0.48. a family has two children. if x is the number of girls born to a family, find the probability that the family has 0, 1, or 2 girls
Answer:
The sum of the probabilities of all possible outcomes must equal 1.
Step-by-step explanation:
To solve this problem, we can use the binomial distribution, since we have a fixed number of trials (two children) and each trial has two possible outcomes (boy or girl) with a known probability of success (0.48 for a girl).
Let X be the random variable representing the number of girls born to the family. Then X follows a binomial distribution with parameters n = 2 (the number of trials) and p = 0.48 (the probability of success). The probability mass function (PMF) of X is given by:
P(X = k) = (n choose k) * \(p^{k}\) * \((1 - p)^{(n - k)}\)
where (n choose k) = \(\frac{n! }{(k! * (n - k)!)}\) is the binomial coefficient.
To find the probability that the family has 0, 1, or 2 girls, we need to calculate the values of P(X = 0), P(X = 1), and P(X = 2):
P(X = 0) = (2 choose 0) * \(0.48^{0}\) * \(0.52^{2}\) = 0.2704
P(X = 1) = (2 choose 1) * \(0.48^{1}\) * \(0.52^{1\\}\) = 0.4992
P(X = 2) = (2 choose 2) * \(0.48^{2}\) * \(0.52^{0}\) = 0.2304
Therefore, the probability that the family has 0, 1, or 2 girls is:
P(X <= 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2704 + 0.4992 + 0.2304 = 1
Note that the sum of the probabilities of all possible outcomes must equal 1.
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T/F regardless of whether a distribution of scores that is symmetrically shaped has one mode or two modes, the mean value tends to be similar to the median value.
True
In a symmetrically shaped distribution of scores, regardless of whether it has one mode or two modes, the mean value tends to be similar to the median value.
When a distribution is symmetric, it means that the data is evenly distributed around the central point, resulting in a bell-shaped curve. In such cases, the mean, median, and mode are typically close to each other.
The mean is the arithmetic average of all the scores in a distribution, while the median represents the middle value when the scores are arranged in ascending or descending order. In a symmetric distribution, the mean and median are located at the exact center of the distribution.
If the distribution has only one mode, it means that there is one prominent peak or high point in the data. In this case, the mean and median will coincide with the mode and will be similar.
If the distribution has two modes, it means that there are two prominent peaks in the data, but they are symmetrical around the center. Even though there are multiple modes, the mean and median will still be similar and tend to be located between the two modes.
In summary, in symmetrically shaped distributions, regardless of the presence of one or two modes, the mean and median values are expected to be close to each other.
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Pleaseee helppp the question is in the photo btw
Answer:
m <B = 60 degrees
Step-by-step explanation:
Please help this is gonna be the end of me
Answer:
\(\mathrm{\triangle KLM}\)
Step-by-step explanation:
\(\mathrm{Vertices\ of\ image\ of\ \triangle GHJ\ is:}\\\mathrm{G(2,3) \rightarrow (2-1,3-8)=(1,-5)}\\\mathrm{H(5,6) \rightarrow (5-1,6-8)=(4,-2)}\\\mathrm{J(5,3) \rightarrow (5-1,3-8)=(4,-5)}\\\mathrm{The\ vertices\ (1,-5),\ (4,-2)\ and\ (4,-5)\ forms\ a\ triangle\ which\ overlaps\ \triangle KLM}\\\mathrm{So,\ \triangle KLM\ is\ the\ image\ of\ \triangle GHJ}\)
Lisa flips 2 fair coins.
What is the probability of obtaining two tails?
Give your answer in its simplest form.
When Lisa flips 2 fair coins, the probability of obtaining two tails is 1/4.
What is probability ?Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.
Given that,
Number of coins flips by Lisa = 2,
To find the probability of obtaining two tales,
The sample pace of flipping two coins = {(H, H), (H, T), (T, H), (T, T)}
The tale on both coins can come one time.
So the probability = number of favorable outcome / total observation
= 1 / 4
The required probability of obtaining two tails is 1 /4.
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In 2018, joshua gave $15,000 worth of xyz stock to his son. in 2019, the xyz shares are worth $25,000. what was the gift tax in 2018?
"0" was the gift tax in 2018.
Gift taxes are paid by either the giver or the recipient?
The recipient of a present normally is not responsible for paying gift tax, which is the standard response to the question "do I have to pay taxes on a gift?"However, when the gift exceeds the yearly gift tax exclusion level, which is $15,000 per recipient for 2019, the giver will typically submit a gift tax return.You'll report your gift to the IRS using this form. This form is used by the IRS to keep track of any gifts you make that exceed the yearly exclusion over the course of your lifetime. 2019's gift tax rate is 0.A gift tax is not present. There is no gift tax because gifts up to $15,000 are tax-free.
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Describe a law you would pass to protect the bees from pesticides. How would this law be enforced?
Step-by-step explanation:
-Apply pesticides in the evening. Many pesticides are extremely toxic to honey Bees and other beneficial insects.
-Choose the appropriate formulation.
-Use less toxic, rapidly degradable pesticides.
-Alter application method.
-Establish apiaries in safe locations.
I hope I helped.
Which figure is missing in the pattern?
I thing it is C
can I have brainly
AThe statistic that describes the average distance between the measurements in a frequency distribution and the mean of that distribution is the:
The statistic that describes the average distance between the measurements in a frequency distribution and the mean of that distribution is the mean absolute deviation (MAD).
The MAD measures the dispersion or spread of the data points around the mean. It is calculated by taking the absolute value of the differences between each data point and the mean, summing these absolute differences, and dividing by the number of data points.
Unlike the standard deviation, the MAD does not square the differences, making it easier to interpret. The MAD provides a measure of the variability of the data and is useful in comparing the spread of different data sets.
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help asap if you can pls!!!!!
Answer:
SAS, because vertical angles are congruent.
Please do it with step by step explanation it will help me so much thanks!
Carolyn is searching online for tickets to a concert. Two weeks ago, the cost was $30. Now the cost is $39.
a. What is the percent increase?
b. What would be the percent increase if the ticket agent charges an additional $4.50 fee with the new ticket price?
Answer:
A) The percent increase is by 30%.
B) for the original price = 15%.
B2.0) for the existing price (39) = approximately 11.54%.
Step-by-step explanation:
A) First, we divide 30 by 100. The result is the amount that 1% would be(0.3). If you multiply it by 30(which will become 30%) it will be 9. And from 30-39 is 9.
B) First we divide 30 by 100. The result is the amount that 1% would be(0.39). then if you multiply it by 11.54(which will become 11.54%) it will be 4.50(approximately because it actually is 4.5006 and there is no amount that ends up in 4.50). But if you are asking what percentage from the original cost(30) it would be 15% of it(because 0.3 * 15 = 4.50).
A bowling alley charges a flat fee to rent shoes. There is an additional fee for each game played. The function y=2. 5x+3 represents the cost y of bowling x games. Interpret the parameters of the function.
The number that represents the shoe rental charge is $3 and the price per game is $2.5.
Given:
The function y=2.5x+3 represents the cost y of bowling x games.
y = 2.5x+3
In the equation the 2.5 represents additional fee.
For 1 game = 2.5*1 = 2.5
For 2 games = 2.5 * 2
= 5
3 is the flat fee for renting the shoes.
Therefore the number that represents the shoe rental charge is $3 and the price per game is $2.5.
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devin makes a 15% commission each month for everything he sells. if devin sells $2750 of merchandise this month, how much of a commission did she receive?
Answer:
$412.50
Step-by-step explanation:
15% of 2750 = 0.15 × 2750 = 412.5
the digit 8 in which number represents a value of 8 thousands
Solve the problem pls
Answer:
x = 2
Step-by-step explanation:
7 \(\frac{1}{3}\) x - 5 \(\frac{1}{2}\) = 4x + 1 \(\frac{1}{6}\) ( change mixed numbers to improper fractions )
\(\frac{22}{3}\) x - \(\frac{11}{2}\) = 4x + \(\frac{7}{6}\)
multiply through by 6 ( the LCM of 3, 2, 6 ) to clear the fractions
44x - 33 = 24x + 7 ( subtract 24x from both sides )
20x - 33 = 7 ( add 33 to both sides )
20x = 40 ( divide both sides by 20 )
x = 2
To which subset of the real number system does the number 1.5¯¯¯ belong? a. whole numbers b. natural numbers c. rational numbers d. irrational numbers
The number 1.5¯¯¯ belongs to the subset of Rational numbers.
Define Rational numbers and Irrational numbers.Rational Numbers: A real number that can be written as a simple fraction, i.e, a ratio of two integers is known as a rational number. For example, 1.5 can be said to be a rational number because it can be written as 3/2; 202 is a rational number because it can be written in fractions as 202/1, or 404/2.
Irrational Numbers: A real number that can’t be written as a simple fraction is known as an Irrational number. For example, pi= 3.14159 cannot be written as a simple fraction and that’s why it is an irrational number.
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A car travels 150 miles in 3 hours. What is the rate of the car in miles per hour?
Answer:
50 miles per hour
Step-by-step explanation:
150 miles=3 hours
150/3=50
50miles 1 hour
100 miles 2 hours
150 miles 3 hours
each hour is 50 miles
Answer:
The rate of the car is 50 miles per hour
Which phrase correctly represents the algebraic expression 3t?
A. The sum of three and a number.
B. The product of three and a number.
C. The quotient of three and a number.
D. The difference of three and a number.
The Cost of Credit
Multimedia Presentation
Full essay
Answer:
The best opinion for financing something is to decide on a budget and work towards it.
What is a Budget?
This is defined as a financial plan over a certain period of time and usually contain incomes and expenses of the individual.
When buying something, its cost and your budget should be considered. It could be saved for or a loan taken to achieve it.
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Step-by-step explanation:
HELPPP PLEASE!!!!!! Which shows how to determine the volume of the pyramid?
Answer:
A- ⅓(12)(8)(10
Step-by-step explanation:
Volume of a pyramid is ⅓length×width×height
The points (h,3) and ( – 2,2) fall on a line with a slope of 1/8 . What is the value of h?
Answer:
h = 6
Step-by-step explanation:
When x = 3, y = 4. What is y when x = 12?
Group of answer choices
A)3
B)4
C)12
D)16
Answer:
A)3
Step-by-step explanation:
if im wrong tell me and i will do it again
HOPE THIS HELPS:::)))
using a karnaugh map, find the minimal sop expression for the described function. a. a circuit that takes a 4-bit unsigned input a3,a2,a1,a0 and outputs a single value, f, true when the number is in the range 6
This output can be added to the final SOP expression. F(A3,A2,A1,A0) = (A3'A2'A1'A0)+(A3A2'A1A0)+(A3A2A1A0)+(A3A2A1'A0)
The following Karnaugh map is used to minimize SOP expression for a circuit that takes a 4-bit unsigned input A3, A2, A1, A0 and outputs a single value F, which is true when the number is in the range 6. Karnaugh Map with Variables A3, A2, A1, A0K-Map
Truth Table A3 A2 A1 A0 f00001 00101 01001 01110 10010 10111 11011 11110 We can see from the truth table that when the input numbers A3 and A1 are true (1) and A2 and A0 are false (0), the function produces a true (1) output. The resulting minimal SOP expression is:F(A3,A2,A1,A0) = A3'A2'A1'A0 + A3A2'A1A0 + A3A2A1A0 + A3A2A1'A0.
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What is -2×-4 in mathematics
Answer:
8
Step-by-step explanation:
negative times a negative equals a positive
rewrite in the form hint: expand as a taylor polynomial of degree 6 about . using this, what are the coefficients ? what is the error in this case?
The value of ε is thus bounded by the maximum value of \(f^(6)(c)\) in this range.
The given function is \(e^(-2x)\). We can write this in Taylor Polynomial of degree 6 as
\(f(x) = 1 - 2x + 2x^2 - (2^2/2!)x^3 + (2^3/3!)x^4 - (2^4/4!)x^5 + (2^5/5!)x^6 + ε\)
The coefficients of this Taylor Polynomial are 1, -2, 2, -4/2, 8/6, -16/24, 32/120 respectively.
The error in this case is given by ε which is the remainder in the Taylor Polynomial. This is calculated as the value of the n+1th derivative of the function at the point of expansion. We expand the Taylor Polynomial at a=0, so the error ε is given by
\(ε = (2^6/6!)f^(6)(c)\)
for some c between 0 and x. The value of ε is thus bounded by the maximum value of \(f^(6)(c)\) in this range.
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