the correct answer is 10290000
Answer:
130,200
Step-by-step explanation:
Earnings for 7yrs= $1,400 × 12 months × 7yrs
= $117,600
Raise for 7 yrs= $150 × 12 months × 7yrs
=$ 12,600
Earnings in 7yrs= $117,600 + $12,600
= 130,200
Answer this correctly and explain I’ll give u brainalist + 10 points (:
Answer:
It is A: 75
Step-by-step explanation:
No need
Suppose that the distribution of IQ's of North Catalina State University's students can be approximated by a normal model with mean 130 and standard deviation 8 points. Also suppose that the distribution of IQ's of Chapel Mountain University's students can be approximated by a normal model with mean 120 and standard deviation 10 points.
Required:
What is the probability that the mean IQ of the 3 North Catalina students is at least 5 points higher than the mean IQ of the 3 Chapel Mountain students?
Answer:
0.7517 = 75.17% probability that the mean IQ of the 3 North Catalina students is at least 5 points higher than the mean IQ of the 3 Chapel Mountain students
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Subtraction of normal variables:
When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
North Catalina:
Population has mean 130 and standard deviation 8 points. Sample of 3. This means that:
[tex]\mu_{N} = 130, s_{N} = \frac{8}{\sqrt{3}} = 4.6188[/tex]
Chapel Mountain:
Population has mean 120 and standard deviation 10 points. Sample of 3. This means that:
[tex]\mu_{C} = 120, s_{C} = \frac{10}{\sqrt{3}} = 5.7735[/tex]
What is the probability that the mean IQ of the 3 North Catalina students is at least 5 points higher than the mean IQ of the 3 Chapel Mountain students?
We want that: [tex]N - C > 5[/tex]
Distribution N - C:
The mean is:
[tex]\mu = \mu_N - \mu_C = 130 - 120 = 10[/tex]
The standard deviation is:
[tex]s = \sqrt{s_N^2+s_C^2} = \sqrt{4.6188^2+5.7735^2} = 7.3937[/tex]
This probability is 1 subtracted by the pvalue of Z when X = 5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{5 - 10}{7.3937}[/tex]
[tex]Z = -0.68[/tex]
[tex]Z = -0.68[/tex] has a pvalue of 0.2483
1 - 0.2483 = 0.7517
0.7517 = 75.17% probability that the mean IQ of the 3 North Catalina students is at least 5 points higher than the mean IQ of the 3 Chapel Mountain students
25 is 32% of what number
Answer:
78.125
Step-by-step explanation:
0.32*x = 25
x = 25/0.32 = 78.125
Answer:
78.125
Step-by-step explanation:
Let the number be Y
32% of Y = 25
32/100 x Y = 25
32Y = 25x100
32Y = 2500
divide both sides by 32
Y = 2500/32
Y = 78.125
Choose all that apply!! i’ll give a brainly!!
Step-by-step explanation:
The answer is A
PLEASE FOLLOW ME
Jada’s babysitter is four times Jada’s current age. In 5 years, Jada will be half her babysitter’s current age.
Answer:
24
Step-by-step explanation:
We can deduce that Jada's current age from her babysitter's age is 6 years.
Word problems in algebra?Word problems in algebra involve our ability to discern abstract concepts and define variables that can be used to solve them algebraically. We do so by writing out an equation using variables and solving the equation.
From the given problem;
If Jada's current age = xThen Jada Babysitter = 4xSo, x + 4x = 1
In five years' time;
Jada Babysitter's age = 5(4x)Jada current age [tex]\mathbf{=\dfrac{5(4x)}{2}}[/tex]So, we can have the equation:
[tex]\mathbf{\rightarrow \ 5(4x) + \dfrac{5(4x)}{2} = 5}[/tex]
20x + 10x = 5
30x = 5
x = 0.6
Therefore, Jada's current age is [tex]\mathbf{=\dfrac{5(4(0.6))}{2} = 6 years }[/tex]
Learn more about word problems in algebra here:
https://brainly.com/question/21405634
a^2 - 2ab^2 if a = 9 and b = 3
Please help me with this problem!
Answer: Yes
Step-by-step explanation:
Solving for the third angle in the left triangle, using the fact that angles in a triangle add to 180 degrees, we get the third angle is 180-50-60=70 degrees.
Thus, the triangles are similar by AA.
Please help! And make sure to add a let statement!
Answer: See explanation
Step-by-step explanation:
1. Let the small number be x
Then, the bug number will be: x + 25
Therefore, x + x + 25 = 131
2x + 25 = 131
2x = 131 - 25
2x = 106
x = 106 / 2
x = 53
Small number= 53
Big number = x + 25 = 53 + 25 = 78
2. Let the small number be x
Then, the bug number will be: x + 14
x + x + 14 = 58
2x + 14 = 58
2x = 58 - 14
2x = 44
x = 44/2
x = 22
Small number = 22
Bug number = 22 + 14 = 36
The numbers are 22 and 36.
3. Let number of basketball sold be x
Therefore, number of football sold will be x+3.
Therefore, x + x + 3 = 27
2x + 3 = 27
2x = 27 - 3
2x = 24
x = 24/2
x = 12
12 basketball were sold
Number of footballs sold = 12 + 3 = 15
4. Let calories in bowl of soup x
Hamburger = 2 × x = 2x
Therefore, x + 2x = 738
3x = 738
x = 738/3
x = 246
There are 246 calories in bowl of soup
Calories in hamburgers = 246 × 2 = 492 calories
If you leave $2300 in an account earning 3% interest, compounded daily, how much money will be in the account after 5 years? (Round your answer to two decimal places.)
Answer:
$2672.20
Step-by-step explanation:
2300(1+(0.03)/(365))^(5*365)
=$2672.20
m∠1=119∘ and m∠2=61∘.
What is m∠3?
Answer:
m∠3 = 119°
Step-by-step explanation:
All the angles must equal 360° when added together. You have two known angles that are right next to each other. If you add m∠1 and m∠2, 119 + 61, it is equal to 180°. This means that m∠3 and m∠4 must be equal to 180° as well and since there are only two lines, it is safe to assume that opposing angles are the same so m∠1 = m∠3 and m∠2 = m∠4.
Answer:
K12 answer
Step-by-step explanation:
WILL GIVE BRAINLEST 50 POINTS!
6.9.4 Journal: Similar circles
Scenario: Prove That All Circles Are Similar
Instructions
View the video found on page 1 of this Journal activity.
Using the information provided in the video, answer the questions below.
Show your work for all calculations.
The Students' Conjectures:The two students have different methods for proving that all circles are similar.
1. Complete the table to summarize each student's conjecture about how to solve the problem. (2 points: 1 point for each row of the chart)
Classmate Conjecture
John
Teresa
Evaluate the Conjectures:
2. Intuitively, does it make sense that all circles are similar? Why or why not? (1 point)
Yes just because some are small and some are big doesn't mean that they are different. And the formula for a circles circumference is C=2pi r and 2 and pi are alaway the same the only thing that changes is r.
Construct the Circles:
3. Draw two circles with the same center. Label the radius of the smaller circle r1 and the radius of the larger circle r2. Use the diagram you have drawn for questions 3 – 10. (2 points)
4. In your diagram in question 3, draw an isosceles right triangle inscribed inside the smaller circle. Label this triangle ABC. (1 point)
5. What do you know about the hypotenuse of △ABC? (2 points)
6. In your diagram in question 3, extend the hypotenuse of △ABC so that it creates the hypotenuse of a right triangle inscribed in the larger circle. Add point Y to the larger circle so it is equidistant from X and Z. Then complete isosceles triangle XYZ. (1 point)
7. What do you know about the hypotenuse of △XYZ? (2 points)
8. How does △ABC compare with △XYZ? Explain your reasoning. (2 points)
9. Use the fact that △ABC ≈ △XYZ to show that the ratio of the radii is a constant. (2 points)
Making a Decision
10. Who was right, Teresa or John? (1 point)
Further Exploration:
11. What is the circumference of the circle that circumscribes a triangle with side lengths 3, 4, and 5?
Answer:I see the questions but is there supposed to be a chart or is it just questions?
Step-by-step explanation:
Answer:
I got the first one which is
John -if a circle is put it into the center of another and dilate to show that they are similar.
Teresa - says that if all corresponding parts of two circles have the same ratio they are similar.
Yes, all circles seem to be similar
Amy is 4 years older than April. Together, their age is 24. How old is April and how old is Amy?
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3.9÷10₅ = (power of 10)
In this rectangular box, EF = 6, FD = 5, and DB = 8. Find A F . A. V61 B. V89 C. 10 D. 5V5
Answer:
Step-by-step explanation: Got it right on E D G E N U I T Y
Answer:
D
Step-by-step explanation:
2 Each Saturday Mr. Franklin teaches 3 piano lessons at his music school and 4 piano lessons in students' homes. For each lesson at his music school, he charges $15. • For each lesson in a student's home, he charges $20. Which set of equations can be used to find m, the amount of money in dollars Mr. Franklin earns from piano lessons each Saturday? F 15 x 4= 60 20 X 3 = 60 60 + 60 = m G 15 = 3 = 5 20:4= 5 5 + 5 = m H 15 x 3 = 45 20 x 4 = 80 80-45 = m J 15 x 3 = 45 20 x 4 = 80 45 + 80 = m
Answer:I Don't Know
Step-by-step explanation:
22 is what percent of 40?
what is 35% of 60?
Answer:
Step-by-step explanation:
x% of 40 = 22
(x/100)×40 = 22
x = 22×100/40 = 55
22 is 55% of 40
:::::
35% of 60 = 0.35×60 = 21
Answer:
[tex]\huge\boxed{55\%}\\\boxed{21}[/tex]
Step-by-step explanation:
22 is what percent of 40?
[tex]\dfrac{22}{40\!\!\!\!\diagup}\cdot100\!\!\!\!\diagup\%=\dfrac{22\cdot10}{4}\%=\dfrac{11\cdot5}{1}\%=55\%[/tex]
[tex]p\%=\dfrac{p}{100}\\\\35\%=\dfrac{35}{100}=0.35\\\\35\%\ of\ 60\to \dfrac{35}{100\!\!\!\!\diagup}\cdot60\!\!\!\!\diagup=\dfrac{35\cdot6}{10}=\dfrac{210}{10}=21[/tex]
3x6/7 (write in simplest form
Answer:
2 4/7
Step-by-step explanation:
Answer:
Step-by-step explanation:
Use the Distributive Property to
REWRITE 2/3(x - 9)
Answer:
2/3x-6
Step-by-step explanation:
The point (3, −5) is reflected over the x-axis. What are the coordinates of the new point? Group of answer choices
(3,5) is the answer i think
hope it helpss
Let $f(x) = x^3 + 3x ^2 + 4x - 7$ and $g(x) = -7x^4 + 5x^3 +x^2 - 7$. What is the coefficient of $x^3$ in the sum $f(x) + g(x)$?
Answer:
6
Step-by-step explanation:
Adding the two polynomials gives
(x^3 + 3x^2 + 4x - 7) + (-7x^4 +5x^3 + x^2 - 7) =
-7x^4 + (x^3 + 5x^3) + (3x^2 + x^2) + 4x + (-7-7) =
- 7x^4 + 6x^3 + 4x^2 + 4x -14
The x^3 term is 6x^3, so the desired coefficient is 6.
As part of a science project, Andy surveys several students in his class to determine their energy levels throughout the day. He asks the students to rate their energy level on a scale from 1 to 10, where 10 is the highest energy level possible and 1 is the lowest energy level possible. Andy then finds the average energy level for the class for each hour after the school day begins until the end of the day. He graphs his data as shown below.
Answer:
if we are doing the same thing it should be D-Andy’s study shows neither correlation nor causation.
Step-by-step explanation:
The average energy of the class after a different number of hours is given below.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
From the graph,
We can make two ordered pairs (x, y).
Where y = average energy level and x = the number of hours.
Now,
From the graph, we see that,
The average energy after 1 hour = 7
The average energy after 2 hours = 8
The average energy after 3 hours = 5
The average energy after 4 hours = 5
The average energy after 5 hours = 4
The average energy after 6 hours = 5
The average energy after 7 hours = 3
Thus,
The average energy of the class after a different number of hours is given above.
Learn more about coordinates here:
https://brainly.com/question/13118993
#SPJ6
-4x² – 26 + 7x – 6x² + 10 -12x =
Answer:
-10x^2-5x-16
Step-by-step explanation:
collect like terms
-4x² – 26 + 7x – 6x² + 10 -12x =
-10x^2-16-5x
reorder it in ax^2+bx+c order
-10x^2-5x-16
Two rectangular picture frames have the same area of 45 square inches but have different side lengths. Frame A has a length of 6 3/4 inches, and Frame B has a length of 7 1/2 inches. What is the width of frame a and frame b.
Answer:
Frame A width = 6.67 inches
Frame B width = 6 inches
Step-by-step explanation:
WA = width of frame A
WB = width of frame B
(WA)(6.75) = 45
WA = 6.67
(WB)(7.5) = 45
WB = 6
NO LINKS PLEASE and make sure it's correct
Answer:
Communitative Property
Step-by-step explanation:
:P
the sides of a right triangle are 3,4 and 5 the tangent of angle A is
Answer:
?
Step-by-step explanation:
y
∝
1
√
x
If
y
=
7
when
x
=
64
find,
x
when
y
=
8
Answer:
x = 49
Step-by-step explanation:
This is an inverse relationship and it implies that, an increase in the value of one variable results in a subsequent decrease in the value of another variable.
Given the mathematical expression and data;
y = 1/√x
y = 7 and x = 64
First of all, we would find the constant of proportionality, k;
y = k/√x
7 = k/√64
7 = k/8
k = 7 * 8
Constant, k = 56
Now, to find the value of x when y = 8
y = k/√x
Substituting the values, we have;
8 = 56/√x
Cross-multiplying, we have;
8 * √x = 56
√x = 56/8
√x = 7
Taking the square of both sides, we have;
(√x)² = 7²
x = 49
i am feeling generous so I am giving away points to anyone who answers this easy question what is 10÷x+10×10+x-3x if x=0.111111111
Answer:
189.77777867
Step-by-step explanation:
10/.111111111+10x10+.111111111-3(.111111111)
189.77777867
I know this was just for points but...
Hope this kind of helped if you actually needed the question answered and have a fantastic day C:
Need help ASAP
Question 7
Answer:
23
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pls help! big thanks to those who have been helping me and my friend!
Answer:
45
Step-by-step explanation:
Because the ratio of seaguls to other birds is 1:1 you can expect half of the birds to be seaguls. Divide 90 by 2
7.1.35-T Question Help You are the operations manager for an airline and you are considering a higher fare level for passengers in aisle seats. How many randomly selected air passengers must you survey? Assume that you want to be 95% confident that the sample percentage is within 3.5 percentage points of the true population percentage. Complete parts (a) and (b) below. a. Assume that nothing is known about the percentage of passengers who prefer aisle seats. (Round up to the nearest integer.)
Answer:
You must survey 784 air passengers.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
Assume that nothing is known about the percentage of passengers who prefer aisle seats.
This means that [tex]\pi = 0.5[/tex], which is when the largest sample size will be needed.
Within 3.5 percentage points of the true population percentage.
We have to find n for which M = 0.035. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.035 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.035\sqrt{n} = 1.96*0.5[/tex]
[tex]\sqrt{n} = \frac{1.96*0.5}{0.035}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.035})^2[/tex]
[tex]n = 784[/tex]
You must survey 784 air passengers.