The statistical significance does not necessarily imply practical significance. In this case, while the IQ score of 160 is statistically significant, it may not necessarily be practically
What is corresponding z-score and percent of scoreTo assess whether any of the IQ scores are statistically significantly high or low, we need to calculate the z-score for each score. The formula for calculating the z-score is:
z = (x - μ) / σ
Where x is the IQ score, μ is the mean IQ score, and σ is the standard deviation of IQ scores.
First, we need to calculate the mean and standard deviation of the IQ scores:
Mean = (100 + 90 + 110 + 160 + 90 + 85 + 65 + 100 + 95 + 98) / 10 = 99.3
Standard deviation = √[((100-99.3)² + (90-99.3)² + (110-99.3)² + (160-99.3)² + (90-99.3)² + (85-99.3)² + (65-99.3)² + (100-99.3)² + (95-99.3)² + (98-99.3)²) / 10] = 39.77
Now we can calculate the z-score for each IQ score:
z1 = (100 - 99.3) / 39.77 = 0.018
z2 = (90 - 99.3) / 39.77 = -0.233
z3 = (110 - 99.3) / 39.77 = 0.27
z4 = (160 - 99.3) / 39.77 = 1.53
z5 = (90 - 99.3) / 39.77 = -0.23
z6 = (85 - 99.3) / 39.77 = -0.36
z7 = (65 - 99.3) / 39.77 = -0.86
z8 = (100 - 99.3) / 39.77 = 0.017
z9 = (95 - 99.3) / 39.77 = -0.108
z10 = (98 - 99.3) / 39.77 = 0.032
Using the z-table, we can find the percent of scores below each z-score:
z1 = 0.018 or 70.01%
z2 = -0.233 or 34.67%
z3 = 0.27 or 75.01%
z4 = 1.53 or 83.68%
z5 = -0.23 or 34.67%
z6 = -0.36 or 37.47%
z7 = -0.86 or 45.16%
z8 = 0.017 or 70.01%
z9 = -0.108 or 31.80%
z10 = 0.032 or 69.15%
To determine whether each z-score is statistically significant, we need to compare it to a predetermined level of significance, typically α = 0.05. If the probability associated with the z-score (i.e., the percent of scores below it) is less than or equal to α, we consider the score statistically significant.
Based on this criterion, the only score that is statistically significant is the IQ score of 160 (z-score = 2.29, percent of scores below = 83.68%). All other scores have a probability greater than α, and therefore are not statistically significant.
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Tree Diagrams
'daT vo
1. A family has four children. How many outcomes are in the sample space that indicates the sex of the children?
Assume that the probability of male (M) and the probability of female (F) are each 1/2. Use a tree diagram to model this situation:
Child 1
Child 2
Child 3
Child 4
Possible Outcomes
2. What is the probability that all children are males?
3. What is the probability that they will have all one gender of children (all males or all females)?
4. What is the probability that there will be at least 2 female children?
5. You are bored and decide to flip a coin, then roll a 6 sided die, then flip a coin, then roll a 3-sided die. Create a tree diagram to model all possible outcomes
6. How many possible outcomes are there?
7. What is the probability of getting only heads on both coin tosses?
The total possible outcomes is 16, the probability that all children are males is 1/16, the probability of having all one gender is 1/8
What is the possible outcomes1. The tree diagram for the sex of the children is as follows:
Child 1: M / F
Child 2: M / F
Child 3: M / F
Child 4: M / F
Possible Outcomes: MMMM, MMMF, MMFM, MFMF, FMFM, FMMF, FMFF, FFFF
There are 2 options for each child, so the total number of possible outcomes is 2 x 2 x 2 x 2 = 16.
2. The probability that all children are males is 1/2 x 1/2 x 1/2 x 1/2 = 1/16.
3. The probability of having all one gender of children is the sum of the probability of having all boys and the probability of having all girls. Each of these outcomes has a probability of 1/16, so the total probability is 1/16 + 1/16 = 1/8.
4. The easiest way to solve this problem is to find the probability of having no female children, and then subtract that from 1. The probability of having no female children is (1/2)^4 = 1/16, so the probability of having at least 2 female children is 1 - 1/16 - 1/16 = 7/8.
5. The tree diagram for flipping a coin, rolling a 6-sided die, flipping a coin, and rolling a 3-sided die is as follows:
C / H
/
1-6 1-3
\ /
H / T
The first branch represents the coin flip, the second branch represents the roll of the 6-sided die, the third branch represents the second coin flip, and the fourth branch represents the roll of the 3-sided die.
6. There are 2 options for the first coin flip, 6 options for the second branch, 2 options for the second coin flip, and 3 options for the fourth branch, so the total number of possible outcomes is 2 x 6 x 2 x 3 = 72.
7. The probability of getting only heads on both coin tosses is 1/2 x 1/2 = 1/4. Therefore, the probability of getting only heads on both coin tosses and any result on the dice is 1/4 x 1 = 1/4.
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Can someone help me find the volume of the pentagonal pyramid
[tex] \: [/tex]
[tex] \rm{Height ( H ) = \bold{7.4m}}[/tex][tex] \: [/tex]
To find:-[tex] \textrm{Volume of pentagonal pyramid = ?}[/tex][tex] \: [/tex]
By using formula:-[tex] \color{gray}{ \bigstar} \blue {\boxed{ \rm{ \green{Volume \: of \: Pyramid = \frac{1}{3} Bh}}}}[/tex]
[tex] \: [/tex]
Solution:-[tex] \rm{Volume \: of \: Pyramid = \frac{1}{3} Bh} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\rm \: = \frac{1}{3} \times 75 \times 7.4 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \rm = \frac{1} {\cancel{3} }\times \cancel{555 } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \underline\color{darkgreen}\boxed{ \rm{ = 185}}[/tex]
[tex] \: [/tex]
━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
hope it helps! :)
The mean amount of money spent on lunch per week for a sample of 273
students is $22
. If the margin of error for the population mean with a 98%
confidence interval is 2
, construct a 98%
confidence interval for the mean amount of money spent on lunch per week for all students.
The true mean amount of money spent on lunch per week for all students falls within the range of $20.12 to $23.88.
Define the term "margin of error"?Margin of error is a statistical term that refers to the amount of random sampling error that is present in a survey or statistical estimate. In other words, it is the amount of uncertainty or variation that is inherent in any statistical measurement or survey result.
To construct a 98% confidence interval for the mean amount of money spent on lunch per week for all students, we need to use the formula:
Confidence interval = sample mean ± (z-score)(standard error)
Here, the sample mean is $22, the margin of error is 2, and the sample size is 273. To find the z-score for a 98% confidence interval, we can use a standard normal distribution table or calculator. The z-score for a 98% confidence interval is approximately 2.33.
To calculate the standard error, we need to use the formula:
[tex]Standard Error = \frac{standard Deviation}{\sqrt{sample Size} }[/tex]
Since the standard deviation is not given, we can estimate it using the sample standard deviation. Let's assume that the sample standard deviation is $8. The Standard Error calculated as:
[tex]Standard Error = \frac{8}{\sqrt{273} }[/tex] ≈ 0.48
Substituting the values into the formula for the confidence interval, we get:
Confidence interval = $22 ± 2.33(0.48) ≈ $20.12 to $23.88
Therefore, we can be 98% confident that the true mean amount of money spent on lunch per week for all students falls within the range of $20.12 to $23.88.
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A pet store has 4 bearded dragons and 9 geckos. What is the ratio of geckos to total reptiles?
Answer:
9 to 4
Step-by-step explanation:
the wind speed y (in miles per hour) of a tropical storm is y = 2x + 66, where x is the same number of hours after the storm enters the gulf of mexico "15 by 15 graph first quadrant" A: Complete the table (show work) B: Graph the equation C: When does the storm become a hurricane
Answer:
Step-by-step explanatio
A. To complete the table, we need to plug in different values of "x" into the equation y = 2x + 66 and solve for "y". We can choose any values of "x", but it's usually helpful to choose values that are easy to calculate. Here's the table with "x" values ranging from 0 to 7:
x y
0 66
1 68
2 70
3 72
4 74
5 76
6 78
7 80
B. To graph the equation, we can plot the points from the table on a coordinate plane. We can use the x-axis to represent the number of hours after the storm enters the Gulf of Mexico (x), and the y-axis to represent the wind speed in miles per hour (y). The points should fall on a straight line with a slope of 2 and a y-intercept of 66. We can plot the points and draw the line as follows:
C. The wind speed of a tropical storm becomes a hurricane when it reaches or exceeds 74 miles per hour. Looking at the graph, we can see that the wind speed reaches 74 miles per hour when x = 4. Therefore, the storm becomes a hurricane 4 hours after entering the Gulf of Mexico.
which values in the set {1,2,3,4,5} are a solution to 4x - 2 < 15?
please give me an answer guys
Answer:
Values from the set = 1, 2, 3, 4.
Step-by-step explanation:
Now we have to,
→ Find the required value of x.
The inequation is,
→ 4x - 2 < 15
Then the value of x will be,
→ 4x - 2 < 15
→ 4x < 15 + 2
→ 4x < 17
→ x < 17/4
→ [ x < 4.25 ]
Hence, the answer is x < 4.25.
In one year, 30,000 sheep on his property in the next year because of the drought the farmer reduced his flock by 37% The number of sheep he has after the fall in numbers is
Answer:
11,100
Step-by-step explanation:
1% of 30,000 is 300 so if we times 300 by 37 we get 11,100
there is 11,100 sheep in 37%.
hope this helps :)
one 250 mL serving of tomato juice contains 2/5 the recommended daily intake of vitamin C. how much tomato juice does a person need to consume to get the full recommended daily intake?
To acquire the complete recommended daily dose of vitamin C, an individual would need to drink 625 mL, or 2.5 cups, of tomato juice.
How is vitamin C calculated?Calculation. For a common solution Mass Ascorbic acid equals Mole Iodine times Volume of Iodine multiplied by 176.12 to get 91.54 mg per mole of Iodine. At first, 100 mg of ascorbic acid was consumed, making it the complete amount of ascorbic acid.
Let's find out how much vitamin C there is in 250 mL of tomato juice first:
40% vitamin C in 250 mL = 100% vitamin C in x mL
Solving for x, we get:
x = (100% / 40%) * 250 mL
x = 625 mL
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PQRS is a rectangle. PR = 26. What is the value of x? *
not all multiple choice is show
The value of X from the given rectangular figure above would be = 6.5. That is option A.
What is a rectangle?A rectangle can be defined as a quadrilateral that has four sides, four vertices, and four angles.
In a rectangle, when two diagonal line divides it, the two diagonals are of the same length.
That is;
Line PR = Line SQ
Half of PR = ER
Half of SQ = QE
But QE = 2x
PR = 26
QE = 1/2 × 26 = 2x
13= 2x
X = 13/2
X= 6.5
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Consider an investment of $2800 at an APR of 5% compounded monthly. Use the formula that gives the exact doubling time to determine exactly how long it will take for the investment to double.
Express your answer in terms of the number of whole years and remaining months it will take the investment to double. Give your answers as whole numbers.
It will take {log(1 - r/n)/n} years to exactly double your investment.
What is the formula to calculate compound interest?The formula for compound interest is -
[tex]$A = P(1 + \frac{r}{n})^{nt}[/tex]
Given is that an investment of $2800 made at an APR of 5% compounded monthly.
The formula for compound interest is -
[tex]$A = P(1 + \frac{r}{n})^{nt}[/tex]
For A = 2P, we can write -
Substituting 2P = A, we get -
2P = P(1 + r/n)^nt
2 = (1 + r/n)^nt
log 2 = log {(1 + r/n)^nt}
log 2 = (nt) log(1 + r/n)
(log 2)/log(1 + r/n) = nt
{t} = log{2 - 1 - r/n}/n
{t} = log{1 - r/n}/n
Therefore, it will take {log(1 - r/n)/n} years to exactly double your investment.
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8.) SAT CORNER: Gatsby leaves his dock and takes his
motorboat due east for 0.5 miles to pick up Daisy. Then,
they motor 1.2 miles north to a private island in the
middle of the sound. What is the straight-line distance,
in miles, from the island to Gatsby's dock?
The distance from the island to Gatsby's dock is 1.3 miles.
What is a Pythagoras theorem?A Pythagoras theorem is a principle that can be used to determine the unknown side of a right angled triangle when the other two sides are known.
Applying the Pythagoras theorem to the given question, let the distance from island to Gatsby's dock be represented by s. Then;
/Hyp/^2 = /Opp/^2 + /Adj/^2
s^2 = 1.2^2 + 0.5^2
= 1.44 + 0.25
= 1.69
s = 1.69^1/2
= 1.3
Thus, the straight-line distance from the island to Gatsby's dock is 1.3 miles.
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Which color has the highest frequency? Which color has the lowest frequency? WHY?
I know I put it in the wrong subject but math is the most looked at and I know I'll get an answer faster.
Answer: Violet color light has the highest frequency. The frequency of violet color light is. 5 × 10 14 Hz . red color light has the lowest frequency. Red light has a frequency around 430 terahertz. This is all based on the order by wavelength.
mark me brainliest please :)
Step-by-step explanation: In order from lowest frequency to highest, they are red, orange, yellow, green, blue, indigo, and violet. Because of the inverse relationship, they are reversed in order by wavelength. The color with the highest frequency is violet.
J
14
20
K
22.4
AKLS-
T
32
L
Similar By:
S
Determine if the triangles are similar. If similar.state how and complete the similarity statement
The triangles JTK and KSL are not congruent. So we cannot complete a similarity statement.
what is congruent ?
In geometry, two figures are said to be congruent if they have the same shape and size. In other words, if all corresponding angles are congruent and all corresponding sides are of equal length, then the two figures are congruent.
For example, two triangles are congruent if all three pairs of corresponding angles are congruent and all three pairs of corresponding sides are of equal length. Similarly, two circles are congruent if they have the same radius.
According to the question:
To determine if the triangles JTK and KSL are similar, we need to check if their corresponding angles are congruent and their corresponding sides are in proportion.
First, we can see that angle JTK and angle KSL are congruent because they are both right angles.
Next, we can use the Pythagorean theorem to find the length of side TK:
[tex]TK^2 = JK^2 - JT^2[/tex]
[tex]TK^2 = 14^2 - 2^2[/tex]
[tex]TK^2 = 192[/tex]
TK = sqrt(192)
TK = 8*sqrt(3)
Now, we can compare the ratios of the corresponding sides to see if they are equal:
JT : JK : TK = 2 : 14 : 8*sqrt(3)
KS : KL : SL = 32 : 22.4 : 15.2
We can simplify these ratios by dividing by the greatest common factor, which is 2:
JT : JK : TK = 1 : 7 : 4*sqrt(3)
KS : KL : SL = 8 : 5.6 : 3.8
We can see that these ratios are not equal. Therefore, the triangles JTK and KSL are not similar.
Since the triangles are not similar, we cannot complete a similarity statement.
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A vending machine has 6 different colors of gumballs (red, blue, pink, yellow, green, purple) and an equal chance of dispensing each. Martin buys 6 gumballs. What is the probability of Martin getting exactly 3 pink gumballs?
The prοbability οf Martin getting exactly 3 pink gumballs οut οf 6 is apprοximately 0.1608 οr 16.08%.
What is prοbability?Prοbability is a measure οf the likelihοοd οr chance οf an event οccurring. It is expressed as a number between 0 and 1, with 0 indicating an impοssible event and 1 indicating a certain event. The prοbability οf an event can be calculated by dividing the number οf favοrable οutcοmes by the tοtal number οf pοssible οutcοmes.
In the given scenariο, there are 6 different cοlοrs οf gumballs, and each has an equal chance οf being dispensed. Therefοre, the prοbability οf getting any particular cοlοr is 1/6.
Tο find the prοbability οf Martin getting exactly 3 pink gumballs οut οf 6, we need tο use the binοmial prοbability fοrmula:
[tex]\mathrm{P(X=k) = C(n,k) \times p^k \times (1-p)^{(n-k)}}[/tex]
where:
P(X=k) is the prοbability οf getting exactly k successes
n is the tοtal number οf trials (in this case, 6)
k is the number οf successes we want (in this case, 3)
p is the prοbability οf success (in this case, the prοbability οf getting a pink gumball, which is 1/6)
C(n, k) is the number οf cοmbinatiοns οf n things taken k at a time, which can be calculated as n! / (k! × (n-k)!).
Plugging in the values, we get:
P(X=3) = C(6,3) × (1/6)³ × (5/6)³
= (6! / (3! × 3!)) × (1/6)³ × (5/6)³
= 20 × (1/216) × (125/216)
= 0.1608
Therefοre, the prοbability οf Martin getting exactly 3 pink gumballs οut οf 6 is apprοximately 0.1608 οr 16.08%.
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Help meeee! Please I need help
Answer:
D
Step-by-step explanation:
3.5 is changing for every trophy I order so it has a variable. For example say I want 3 trophies each trophy is 3.50 substitute 3 for x. 3.50(3) and that would give me the cost for 3 trophies same thing for the 7.50. The initial fee (you only pay the initial fee once) for company p is 25. The initial fee for company R is 17. At the end the question asks for the inequality so that company p is less than(<) company R. The only inequality that fits this is D.
Hope this helps :-)
Josh is at a park. He knows that the distance from the picnic table to a tree is 124 feet. Josh also knows the angle formed by a segment from his location to the picnic table and a segment from his position to the tree is 54 degrees and that triangle formed by his position, the picnic table, and the tree is a right triangle, with a right angle at the picnic table. Does josh have enough to find how far he is from the picnic table.
Answer:
Yes, Josh has enough information to find how far he is from the picnic table. Josh is 90.1 ft from the picnic table (to the nearest tenth).
Step-by-step explanation:
Yes, Josh has enough information to find how far he is from the picnic table.
From the given information, we can model this as a right triangle where the angle is 54°, the side opposite the angle is the distance between the picnic table and the tree, and the side adjacent the angle is the distance between Josh and the picnic table. (See attached diagram).
To calculate the distance between Josh and the picnic table (labelled "x" on the attached diagram), use the tangent trigonometric ratio.
[tex]\boxed{\begin{minipage}{6 cm}\underline{Tangent trigonometric ratio} \\\\$\sf \tan(\theta)=\dfrac{O}{A}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\end{minipage}}[/tex]
Substitute the values into the tan ratio:
[tex]\implies \tan 54^{\circ}=\dfrac{124}{x}[/tex]
[tex]\implies x=\dfrac{124}{\tan 54^{\circ}}[/tex]
[tex]\implies x=90.09127...[/tex]
[tex]\implies x=90.1\; \sf ft\;(nearest\;tenth)[/tex]
Therefore, Josh is 90.1 ft from the picnic table (to the nearest tenth).
pleas find the area of the figure.
Answer:
41
Step-by-step explanation:
we can get this answer because:
3(3)=9
4(8)=32
and u add 32 and 9 together and get 41
What is the value of b?
10
16
20
26
Answer:
the value of b is 10 +151620 but we have; to check
The value of b in the equation is 13/12
How to determine the value of bFrom the question, we have the following parameters that can be used in our computation:
x^2/24 - y^2/b^2 = 1
The equation of a hyperbola with center at the origin and semi-axes lengths a and b can be written as:
x^2/a^2 - y^2/b^2 = 1
Comparing this equation with the given equation, we have:
a^2 = 24.
The directrix of the hyperbola is given as
x = 576/26
For a hyperbola with center at the origin, the distance between the center and the directrix is a^2/b.
So, we have:
a^2/b = 576/26
Substituting the value of a^2, we get:
24/b = 576/26
So, we have
b = 13/12
Hence, the value of b is 13/12
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pls help, it on khan academy
Answer:
25.12cm²
Step-by-step explanation:
Hope it helps. Have a nice week.
Which step is incorrect?
Answer:
c step 3
Step-by-step explanation:
from the correct x^(2/5) do we suddenly get to
x^(5/2).
1/x³ = x^(-3) is a correct identity, and using it has no impact on x^(2/5). that should still stay x^(2/5).
the correct step 3 is then
x^(2/5)x^(-3)
step 4 is then
x^(2/5 - 3) = x^(2/5 - 15/5) = x^(-13)/5
The point (-sqrt2/2, sqrt2/2) is the point at which the terminal ray of angle theta intersects the unit circle. What are the values for cosine and cotangent functions for angle theta
Hence, the values of cοsine and cotangent functions for angle theta are -√(2)/2 and -1, respectively.
What precisely does a degree angle mean?Angles between 0 and 90 degrees are cοnsidered acute. Obtuse angles fall within this range and vary frοm 90° to 180°. A right angle is knοwn as an angle with a 90-degree angle (= 90°).
The pοint (-√(2)/2, √(2)/2) lies on the unit circle in the second quadrant, which means that the cοrresponding angle theta has a reference angle of pi/4.
The cοsine of theta is the x-coordinate of the point on the unit circle corresponding to theta. Since the x-coοrdinate of the given point is -√(2)/2, we have:
cοs(θ) = -√(2)/2
The cοtangent of theta is the ratio of the cosine of theta to the sine of theta. We can find the sine of theta by using the Pythagοrean theorem, since the pοint (-√(2)/2, √(2)/2) lies on the unit circle:
sin(θ) = √(1 - cos²(θ)) = √(1 - (-√(2)/2)²) = √(2)/2
Therefοre, we have:
cot(θ) = cos(θ) / sin(θ) = (-√(2)/2) / (√(2)/2) = -1
Hence, the values of cοsine and cotangent functions for angle theta are -√(2)/2 and -1, respectively.
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Below are the jersey numbers of 11 players randomly selected from a football team. Find the range, variance, and standard deviation for the given sample data. What do the results tell us?
23 53 67 61 66 91 27 85 98 44 73
Question content area bottom
Part 1
Range= enter your response here (Round to one decimal place as needed.)
Part 2
Sample standard deviation= enter your response here (Round to one decimal place as needed.)
Part 3
Sample variance= enter your response here (Round to one decimal place as needed.)
Part 4
What do the results tell us?
A.
Jersey numbers are nominal data that are just replacements for names, so the resulting statistics are meaningless.
B.
The sample standard deviation is too large in comparison to the range.
C.
Jersey numbers on a football team do not vary as much as expected. D Jersey numbers on a football team vary much more than expected.
Answer:
Part 1:
Range = 98 - 23 = 75
Part 2:
First, find the sample mean:
Mean = (23 + 53 + 67 + 61 + 66 + 91 + 27 + 85 + 98 + 44 + 73)/11 = 61.9
Then, find the sum of the squared differences between each jersey number and the mean:
(23-61.9)^2 + (53-61.9)^2 + (67-61.9)^2 + (61-61.9)^2 + (66-61.9)^2 + (91-61.9)^2 + (27-61.9)^2 + (85-61.9)^2 + (98-61.9)^2 + (44-61.9)^2 + (73-61.9)^2 = 12388.4
Sample variance = 12388.4/10 = 1238.84
Sample standard deviation = √1238.84 = 35.17
Part 3:
Sample variance = 1238.84
Part 4:
The results tell us that there is a relatively large range in jersey numbers, with a difference of 75 between the highest and lowest numbers. The sample variance and standard deviation also indicate that there is a considerable amount of variability in the data, with jersey numbers varying significantly from the mean. This suggests that there is no pattern or structure to the jersey numbers on the football team, and that they are assigned somewhat randomly.
Step-by-step explanation:
A community theater held auditions for their summer musical. There were 42 performers accepted in the cast. That was 60% of all those who auditioned. How many people auditioned for the musical?
Answer:
64 people
Step-by-step explanation:
I'm not so sure but I think its right.
Here's how I figured it out:
60x2=120
42x2=84
120-20=100%
84-20=64
Siegell's Locksmith Shop is taking out a mortgage on a new building. It is going to be an interest-only, 12-year balloon mortgage for $350.000. The APR is 3.35%. The last payment will be the balloon payment of the full
principal.
a. Find the total number of monthly payments, not including the final balloon payment.[
b. Find the amount of each monthly payment if the payments are interest-only. Round to the nearest cent
c. Find the difference between the regular monthly payment and the balloon payment, to the nearest hundred dollars.
d. If the mortgage was not a balloon mortgage, what would be the amount of the monthly payment, rounded to the nearest cent?
Monthly payment is $973.52, difference is $349,000 and monthly payment for a fully amortizing mortgage would be $3,331.87.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
To find the total number of monthly payments, we need to multiply the number of years by 12 (the number of months in a year) and subtract 1 (for the final balloon payment).
So the total number of monthly payments is:
12 x 12 - 1 = 143
b. To find the amount of each monthly payment, we can use the formula
First, we need to convert the APR to a monthly interest rate by dividing by 12:
Monthly Interest Rate = 0.0335 / 12 = 0.002792
Monthly Payment = (350000 x 0.002792) / (1 - (1 + 0.002792)⁻¹⁴³)
= $973.52
The monthly payment is $973.52.
c. The balloon payment is simply the full principal amount of $350,000. The difference between the regular monthly payment and the balloon payment is:
Balloon Payment - Monthly Payment = $350,000 - $973.52 = $349,026.48
The difference is $349,000.
d. To find the monthly payment for a 12-year, fully amortizing mortgage, we can use the same formula as in part b, but with a different Total Number of Payments:
Total Number of Payments = 12 x 12 = 144
Monthly Payment = (350000 x 0.002792) / (1 - (1 + 0.002792)⁻¹⁴⁴) = $3,331.87
The monthly payment for a fully amortizing mortgage would be $3,331.87.
Hence, monthly payment is $973.52, difference is $349,000 and monthly payment for a fully amortizing mortgage would be $3,331.87.
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How do I find the vertex of the equation
The vertex of the equation (x - 1)^2 - 9 = 0 is (1. 9)
How to determine the vertex of the equationThe vertex of a quadratic equation is the point at which the graph of the equation reaches its maximum or minimum value.
For a quadratic equation in standard form, y = ax^2 + bx + c, the vertex is located at the point (-b/2a, f(-b/2a))
From the question, we have the following parameters that can be used in our computation:
(x - 1)^2 - 9 = 0
A quadratic equation is represented as
a(x - h)^2 + k = 0
Where the vertex is
Vertex = (h, k)
Using the above as a guide, we have the following:
Vertex = (h, k) = (1, 9)
Hence, the vertex is (1, 9)
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Complete question
How do I find the vertex of the equation
(x - 1)^2 - 9 = 0
45 cm
36 cm
38 cm
= the volume
bonjours
oui sa est égale au volume
A man walks for 40 minutes at 60km/h. he then travels for two hrs in a minibus at 80 km/h. Finally he travel by but for an one hour at 60km/h - Find his speed for the whole journey?
Answer: 71km/h
Step-by-step explanation:
He traveled 260km according to what you gave and 100 km using 60 km/h and 160km using 80km/h Also is this man has rocket since he walked 60km/h. His whole journey take 3h40m. Just take 260 divide by 3h40m so you got the final answer about 71km/h
need help i dont understand
We can conclude that ∠BDC is congruent to ∠BAC and ∠BEC.
What is circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point known as the centre.
Given is a circle as shown in the image.
The triangles are on the same base BC.
From this we can conclude that -
∠BEC = ∠BAC = ∠BDC
Therefore, we can conclude that ∠BDC is congruent to ∠BAC and ∠BEC.
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Segments SQ, SU, and QU are tangent to the circle. Segment RQ measures 15 cm, segment ST measures 4 cm, and segment VU measures 25 cm. What is the perimeter of triangle QSU?
The perimeter of the triangle QSU is 88 cm.
What is Perimeter?Perimeter of a straight sided figures or objects is the total length of it's boundary.
Given a circle.
And there are three tangents drawn intersecting the circle at points R, T and V.
We have the circle theorem that the tangents that meet at the same point are equal in length.
Using the theorem,
SR = ST
RQ = VQ
TU = VU
We have, segment RQ measures 15 cm, segment ST measures 4 cm, and segment VU measures 25 cm.
So, SR = ST = 4 cm
TU = VU = 25 cm
VQ = RQ = 15 cm
Perimeter of ΔQSU = (2 × 4) + (2 × 25) + (2 × 15) = 88 cm
Hence the perimeter is 88 cm.
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Mr. Shaw is building a walk away from the corner of his house out to his vegetable garden in the corner of the yard. The dimensions of the yard and the garden are shown. What is the length of the walkway, w, to the nearest foot?
A 24 foot
B 34 foot
C 46 foot
D 58 foot
Ummi chose C as the correct answer. How might she had gotten that answer?
Answer:
34 Foot
Step-by-step explanation:
You're basically just doing the pythagorean theory: a^2+b^2=c^2
You just are not directly being given a or b and instead you have to find them which you do by subtracting how big the garden is from the total length: 50-20=30(a) 30-14=16(b). After that you just do the normal theory getting 30^2+16^2=c^2 which leads to 900+256=c^2 then 1156=c^2 so you take the square root of both sides in order to turn c^2 into plain c or the length of the walk way which will get you 34 feet.