Answer:
it should be the answer B.
Step-by-step explanation:
because if it has no breaks its continuous
the table shows the heights of players in a basket ball team. work out the mean height of the team round your answer to 1 decimal place. new player joins the team and raises the mean average height to 201 cm. work out the height of this new player (height) 198,199,200,201,202) (frequency) (1,3,2,5,2)
The mean height of the team rounded to 1 decimal place is 200.0.
The height of this new player is 206.
What is mean Average?
The mean average, of a data set is the sum of all the numbers divided by the total number of values.
Formular for calculating mean Average:
Mean Average = {Sum of all the values} ÷ {Total numbers of values}
From the question the height of the players are as follows:
(height) 198,199,200,201,202)
a) Mean Average =(198 +199 +200 +201 +202)
5
=1000
5
=200.0
b) The new player joins the team to make the Mean Average 201. hence the height of the new player will be calculated using:
Mean Average = {Sum of all the values} ÷ {Total numbers of values}
201 =(198 +199 +200 +201 +202 + x )
6
201 = 1000+ x
6
crossmultiply to solve for X:
201 *6 =1000+ x
1,206 = 1000+ x
making x subject of the formular we have:
x = 1,206 - 1000
x = 206
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Please help me!!!!!!!!
We can see here that the solutions to the triangles are:
1. 62.2°.
2. 35.9°
3. 61.9°
4. 53.1°
How we arrived at the solutions?We can see here that using trigonometric ratio formula, we find the values of x.
We see the following:
1. Cos x = 7/15 = 0.4666
x = \(cos^{-1}\) 0.4666 = 62.2°.
2. Sin x = 27/46 = 0.5869
x° = \(sin^{-1}\) 0.5869 = 35.9°
3. Sin x = 30/34 = 0.8823
x° = \(sin^{-1}\) 0.8823 = 61.9°
4. Tan x = 8/6 = 1.3333
x° = 1.3333 = 53.1°
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5. Zach had a salary of $75,000 last year. He also received $4,500 in interest income from a CD he opened a few years ago. He contributed $4,000 to an IRA and had to move to another state for his new job. His moving expenses were $5,000. He is an unmarried man, with no dependents, and claims himself as an exemption. Standard deduction is $5700 for single, and exemption rate is $3,650 per exemption. What was Zach’s gross income?
Zach’s gross income was $79,500.
What is gross income?Gross income or gross pay for an individual is the total financial income that he or she earns before paying taxes or other deductions. Wages, dividends, capital gains, company revenue, retirement distributions, and other income are all included in your gross income. Salary, bonuses, tips, hourly pay, rental income, dividends from stocks and bonds, and savings account interest are all examples of earned income.Given:
Zach's salary = $75,000
His interest income from a CD = $4,500
Expenses = $5,000
Contribution to an IRA = $4,000
Standard deduction = $5700
Exemption rate = $3,650
Zach’s gross income = Salary + interest income
= $75,000 + $4,500
= $79,500
Therefore, Zach’s gross income was $79,500.
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Use the given information to prove that RSU=TSV
Answer:
Statement, Reason
Given segment RV = segment TU, Given
m∠R = m∠T, Given
Segment RS ≅ segment ST, Base angles theorem
ΔRSV ≅ ΔTSU, SAS rule of congruency
Segment SV ≅ segment SU, CPCTC
VU ≅ UV, Reflexive property
RU = RV + VU, TV = TU + UV, Addition of segments
RV + VU ≅ TU + UV, Addition property of equality
RU ≅ TV, Transitive property of addition
ΔRSU ≅ ΔTSV, SSS rule of congruency
Step-by-step explanation:
Where:
SAS- Side Angle Side
CPCTC -Congruent Parts of Congruent Triangles are Congruent
SSS -Side Side Side
a sample of 36 is used. identify the p-value and state your conclusion for each of the following sample results. use α=.01. x¯=44 and s = 5.2 x¯=43 and s = 4.6 x¯=46 and s = 5.0
The degrees of freedom for this test is 35. The p-value for this result is very small, much smaller than 0.01. Therefore, we reject the null hypothesis and conclude that the population mean is greater than 6.
To solve this problem, we need to perform a t-test since the population standard deviation is unknown, and the sample size is relatively small (n = 36). We will assume that the population is normally distributed.
The formula for the t-test statistic is:
t = (X - μ) / (s / sqrt(n))
whereX is the sample mean, μ is the population mean under the null hypothesis, s is the sample standard deviation, and n is the sample size.
For each sample result, we can calculate the t-value as follows:
X=44 and s = 5.2
t = (44 - 6) / (5.2 / sqrt(36)) = 25.846
The degrees of freedom for this test is 35. Using a t-table or a statistical software, the p-value for this result is very small, much smaller than 0.01, which indicates strong evidence against the null hypothesis. Therefore, we reject the null hypothesis and conclude that the population mean is greater than 6.
X=43 and s = 4.6
t = (43 - 6) / (4.6 / sqrt(36)) = 23.043
The degrees of freedom for this test is 35. The p-value for this result is also very small, much smaller than 0.01. Thus, we reject the null hypothesis and conclude that the population mean is greater than 6.
X=46 and s = 5.0
t = (46 - 6) / (5.0 / sqrt(36)) = 28.8
The degrees of freedom for this test is 35. The p-value for this result is very small, much smaller than 0.01. Therefore, we reject the null hypothesis and conclude that the population mean is greater than 6.
In conclusion, for all three sample results, we reject the null hypothesis that the population mean is less than or equal to 6 and conclude that the population mean is greater than 6, with a significance level of 0.01.
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find the positive value of p if the expression 2x²-px+p leaves a remainder 6 when divided by x-p
Explanation:
\(f(x) = 2x^2 -px + p\\given \ f(x) \ \ leaves ] remainder \ when \ divided \ by \ x - p \\\\Therefore, \\\\f(p) = 6\\\\=> f(p) = 2(p)^2 -p(p) + p = 6\\\\==>2(p)^2 - p^2 + p = 6\\\\=> p^2 + p - 6 = 0\\\\=>p^2 + 3p - 2p -6 = 0\\\\p(p+3)-2(p+3) =0 \\\\(p-2)(p+3) = 0\\\\p = 2, -3\)
Answer : p = 2
Find the derivative of the function at P in the direction of A f(x,y,z):xy + yz + zx, (1,-1,-2), A = 3i + 2j - 6k (DAf) | 1(1,-1,-2) =
Therefore, the directional derivative of f at P=(1,-1,-2) in the direction of A=3i+2j-6k is -2.
To find the directional derivative of f(x,y,z) at P=(1,-1,-2) in the direction of A=3i+2j-6k, we first need to find the gradient of f at P, which is given by:
grad(f) = ∇f = (∂f/∂x)i + (∂f/∂y)j + (∂f/∂z)k
Here, f(x,y,z) = xy + yz + zx, so we have:
∂f/∂x = y + z
∂f/∂y = x + z
∂f/∂z = x + y
Thus, at P=(1,-1,-2), we have:
∇f(P) = (∂f/∂x)i + (∂f/∂y)j + (∂f/∂z)k
= (y+z)i + (x+z)j + (x+y)k
= (0+(-2))i + (1+(-2))j + (1+0)k
= -2i - 1j + 1k
Next, we need to find the unit vector in the direction of A:
|A| = sqrt(3^2 + 2^2 + (-6)^2) = 7
u = A/|A| = (3/7)i + (2/7)j - (6/7)k
Finally, we can compute the directional derivative of f at P in the direction of A as:
(DAf) | 1(1,-1,-2) = ∇f(P) · u
= (-2i - 1j + 1k) · (3/7)i + (2/7)j - (6/7)k
= -6/7 - 2/7 - 6/7
= -2
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Giving brainliest to whoever answers this:)
The slope of a roof is called its pitch. The Parthenon, an ancient Greek temple, has a roof with a rise of 3.6 meters and a run of 12 meters. What is the pitch of the roof?
Answer:
3.6/12, or 0.3
Step-by-step explanation:
To determine a slope on a graph, it's always the "rise over run", or "fall over run" if it's a negative slope.
In this case, the rise of 3.6 meters would represent the top number, and 12 meters would be 12 meters, so it's 3.6/12.
Answer: Well the answer would be the second one cause it more the paragraph is more telling us about it rather than pursuing us they are giving examples and stories not persuading the reader
Explanation
The answer would be: This paragraph has been written to entertain students with fascinating stories from Greek history. The author gives many examples of the unforgettable Greek culture, which helps readers form a positive opinion about Greece. so the second one. P.S Hope this helps.
hiiii pppplease help i’ll give brainliest
Answer:
Step-by-step explanation:
For observers right at the north pole and the south pole, there are only two seasons – an almost six-month long winter night followed by an almost six-month long summer day!
6 ÷ (–3) + [(4 – (–5)) × (–7)]
answer please
In degrees, what is the measure of MFE?
Answer:
30°
Step-by-step explanation:
It tells us that MFE is equal to (x + 6)° so we need to find x
The angle accross from MFE is RFT. These angles are congruent, because they are a vertical pair. So RFT is also equal to (x + 6)°
The angle RFT and PFR combined form a right angle. This means that RFT + PFR = 90°.
They told us that PFR = (3x - 4)°
so that means that (x + 6) + (3x - 4) = 90°
Knowing that we can just solve the equation by combining like terms
4x + 2 = 90
Subtract two from both sides
4x = 88
And then divide by 4
x = 22
Now we can plug in 22 in the original equation to find MFE
22 + 6 = 30
so MFE = 30°
Question 5 About 9% of the population has a particular genetic mutation. 500 people are randomly selected. Find the standard deviation for the number of people with the genetic mutation in such groups of 500. Round your answer to three decimal places
Therefore, the standard deviation for the number of people with the genetic mutation in groups of 500 is approximately 6.726.
To find the standard deviation for the number of people with the genetic mutation in groups of 500, we can use the binomial distribution formula.
Given:
Probability of having the genetic mutation (p) = 0.09
Sample size (n) = 500
The standard deviation (σ) of a binomial distribution is calculated using the formula:
σ = √(n * p * (1 - p))
Substituting the given values:
σ = √(500 * 0.09 * (1 - 0.09))
Calculating the standard deviation:
σ ≈ 6.726 (rounded to three decimal places)
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What is Swift's proposal ?.
I need help again LOLLL⠀⠀⠀⠀
Answer:
double the pretzles so 2 2/4
Step-by-step explanation:
i don't know how to do this help
Answer:
Step-by-step explanation:
-8+35 = 27
-16+4 = -12 but when you take the absolute value it turns positive.
So 27+ 12 is 39
2.
Write the equation of the parabola that opens up, has a vertex
at (3,-2), and is congruent to y = 5x2 + 1
Answer in the vertex form y = a(x – h)2 + k.
Answer:
With a vertex (h, k) at (0, 3) and given that a = -3, then the equation of this parabola in vertex form is as follows:
y = a(x - h)2 + k
y = -3(x - 0)2 + 3
y = -3x2 + 3
Step-by-step explanation:
A cube of side 5 is built with black and white cubes of side 1, so that the cubes next to each other have different colors and the corner cubes are black, as shown in the figure. How many white cubes were used?
Answer: 62
Step-by-step explanation:
top row has 12
the next row has 1 more =13
and it alternates
12+13+12+13+12=62
HELP!!! What is the MAD for these numbers? 5 22 14 13 18 7 9 12
Answer:
4.25
Step-by-step explanation:
Answer:15 I think
Step-by-step explanation:
A particular brand of skirt can be ordered in 2 different colours (red and white) and 3 different sizes (L, M, S). Construct a tree diagram to show all possible combinations of skirts that can be ordered.
Here's a tree diagram showing all possible combinations of skirt colors (red and white) and sizes (L, M, S):
```
_________________
| |
Red Skirt White Skirt
_________________ _________________
| | | | |
L Skirt M Skirt S Skirt L Skirt M Skirt
```
- The first branch represents the color choice: Red Skirt or White Skirt.
- The second branch represents the size choice for each color: L Skirt, M Skirt, or S Skirt.
This tree diagram shows all possible combinations of skirt colors and sizes:
Red Skirt - L, Red Skirt - M, Red Skirt - S, White Skirt - L, White Skirt - M, and White Skirt - S.
Each branch represents a different choice, and by following the branches from top to bottom, you can see all the possible combinations of skirt colors and sizes.
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Simplify the following expression (42x + 62y) + (38x - 4y)
The simplified form of the expression (42x + 62y) + (38x - 4y) is 80x + 58y.
What is the simplified form of the expression?Given the expression in the question
(42x + 62y) + (38x - 4y)
To simplify, collect and add like terms.
(42x + 62y) + (38x - 4y)
42x + 62y + 38x - 4y
Collect like term
42x + 38x - 4y + 62y
Add 42x and 38x
80x - 4y + 62y
Add -4y and 62y
80x + 58y
Therefore, the simplified form is 80x + 58y.
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What are the x and y-intercepts of the line described by the equation?
2x+4y=12.4
Question 2 options:
x-intercept = -6.2
y-intercept = -3.1
x-intercept = -3.1
y-intercept = -6.2
x-intercept = 6.2
y-intercept = 3.1
x-intercept = 3.1
y-intercept = 6.2
Please help
Answer:
x-intercept = 6.2 , y-intercept = 3.1
Step-by-step explanation:
First turn 2x + 4y = 12.4 to slope-intercept form (y = mx + b) where m is slope and b is y-intercept.
Subtract 2x on both sides to move it to the other side, and get 4y by its self. Now it looks like 4y = -2x + 12.4 (since 2x and 12.4 aren't like terms, you wouldn't combine them).
Next, divide 4 on both side to get rid of it, and to get y by its self. Now you'll have
y = -2/4 x + 3.1 (since 12.4 can be divided by 4, that's how you get 3.1). You can already tell, just by looking at
y = -2/4 x + 3.1 , that the y-intercept is 3.1
Now we graph, to find out what the x-intercept is. I did it for you above.⤴⤴⤴
People from the united states made up about 80% of those who went to California to dig for gold. Identify the countries and regions from which the other 20% emigrated
The other 20% of those who went to California to dig for gold came from various countries and regions outside the United States.
During the California Gold Rush in the mid-1800s, the majority, approximately 80%, of the individuals who ventured to California in search of gold were Americans. However, the remaining 20% represented a diverse group of immigrants from different countries and regions around the world.
The allure of potential wealth drew individuals from various parts of Europe, such as Germany, France, Ireland, and Italy. Asian immigrants, particularly from China, also joined the gold rush in significant numbers. They traveled long distances to reach California, seeking opportunities to improve their economic circumstances. Additionally, people from Mexico and other parts of Latin America made their way to the goldfields, as did individuals from Australia and other corners of the globe.
This influx of immigrants resulted in a culturally rich and diverse community in the gold mining areas of California. It shaped the social fabric and contributed to the multicultural heritage of the region. The interactions and integration of people from different backgrounds during the gold rush played a pivotal role in shaping California's history and establishing its reputation as a land of opportunity.
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HELP PLZ WILL GIVE BRAINLIST
Answer:
V=141.3
Step-by-step explanation:
V=π*r2*h or V=B.h
V=3.14*(3*3)*5
V=3.14*9*5
V=141.3
consider the continuous random variable x, which has a uniform distribution over the interval from 30 to 38. the probability that x will take on a value between 34 and 35 is . a. 0.125 b. 0 c. 1 d. 0.875
Probability that a continuous random variable (x) will take on a value between 34 and 35 is 1/8
Uniform distribution is a type of probability distribution which consists constant probability.
It is also known as Rectangular distribution and
denoted by U( x,y ) .
let X be a continuous random variable then
X ~ U( x,y) where x is maximum value and y is minimum value .
Probability density function of uniform distribution is f(X) = 1/(b-a) , where
b---> maximum value , a---> minimum value
we have provided the interval of uniform distribution as 30 to 38 i.e b = 38 , a = 30
then , f( X) = 1/ (38-30) = 1/8
Probability that X will take on value between c and d is
P ( c ≤X≤ d ) =( d -c )/ (b-a )
Probability that X will take on a value between 34 and 35 is
P ( 34≤X≤35) = ( 35-34)/ 8 = 1/8
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How do I practice the Wonderlic test?
By taking practice tests, focusing on speed and accuracy, working on your math skills, and reading widely, you can significantly improve your performance on the test.
The test is a cognitive ability test that is commonly used by employers to assess the aptitude of potential employees.
Work on Your Math SkillsThe test includes several math-related questions, so it is important to brush up on your math skills. You should focus on the basics, including addition, subtraction, multiplication, and division. You should also review concepts such as fractions, decimals, percentages, and ratios. Practice solving math problems quickly and accurately to improve your score on the test.
Read WidelyThe test includes questions on general knowledge and vocabulary. To improve in these areas, you should read widely. This includes reading books, newspapers, and magazines. You should also work on building your vocabulary by learning new words and their meanings. Reading will help you develop a deeper understanding of the world and will help you answer questions on the test.
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32x+80y = 1280
6x+ 20y=330
Solve system of equations
Answer:
y= -2/5x+16
y=-3/10x+33/2
A $150 Chrome book is on sale for 20% off. How much should you pay for the chrome book
Answer:
$30
Step-by-step explanation:
simplify by dividing [ -3/-8] divided by 5/9 (5 points)
A. -15/-72
B. 15/72
C. -27/-40
D. 27/40
Answer: D
Step-by-step explanation:
(3/8) / (5/9) is the same as multiplying (3/8) by (9/5) which is 27/40. I'm not sure if there's an error between C and D because those are both the same answer since dividing a negative number by a negative number gives you a positive number.
I think C was supposed to be -27/40 so D is the correct answer since it's positive.
Helpp please! Explain it too!!
Which sign makes the statement true?
6.70 × 10^3 ___ 6.7 × 10^3
> < =
Answer:
6.70E3=6.7E3
Step-by-step explanation:
Since the exponents are the same, all we have to do is use the bases.
6.70 {>,<,=} 6.7
6.7 equals 6.70 because the 0 after the 6.7 means nothing.
If P(t) is the size of a population at time t, which of the following differential equations describes linear growth in the size of the population?dPdt=200Answer A: d cap p over d t is equal to 200AdPdt=200tAnswer B: d cap p over d t is equal to 200 tBdPdt=100t2Answer C: d cap p over d t is equal to 100 t squaredCdPdt=200PAnswer D: d cap p over d t is equal to 200 cap pDdPdt=100P2
If P(t) is the size of a population at time t , the differential equation describes linear growth in the size of the population is \(\frac{dP}{dt}=200\)
The differential equation is is an equation that contains one or more functions with its derivatives. The derivatives of the function define the rate of change of a function at a point.
dy/dx = f(x)
Here “x” is an independent variable and “y” is a dependent variable
According to the question,
Size of population at t time = P(t)
Also given ,The differential equations have a linear growth in the size of the population.
So, The degree of the variable must be one. And the equation of the population will be quadratic.
Therefore , dP/dt = 200 tells us the rate change of population with respect to time.
A derivative of linear function is constant .
Hence , option B is correct.
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