Answer:
i=0.099
PMT (annual payment needed) $11,309
PV of perpetuity
PV=11309/0.099
=$114,232.32
hope that helps
pls mark brainliest <3
Answer:
ok so i think it is i=0.099
Step-by-step explanation:
i took the test. the test said it was that answer so yea
What was the speed of the transfer
Answer:
please be more specific
Step-by-step explanation:
none
what is 10 1/5 - 2 in 1/6 ?
1).Graph: x 5
In the box below explain:
A. The circle is closed.
B. You go in the right direction on the number line.
A bolt manufacturer is very concerned about the consistency with which his machines produce bolts. The bolts should be 0.2 centimeters in diameter. The variance of the bolts should be 0.025. A random sample of 15 bolts has an average diameter of 0.21 cm with a standard deviation of 0.1587. Can the manufacturer conclude that the bolts vary by more than the required variance at α=0.01 level? Step 1 of 5: State the hypotheses in terms of the standard deviation. Round the standard deviation to four decimal places when necessary. A bolt manufacturer is very concerned about the consistency with which his machines produce bolts. The bolts should be 0.2 centimeters in diameter. The variance of the bolts should be 0.025. A random sample of 15 bolts has an average diameter of 0.21 cm with a standard deviation of 0.1587. Can the manufacturer conclude that the bolts vary by more than the required variance at α=0.01 level? Step 2 of 5: Determine the critical value(s) of the test statistic. If the test is twotailed, separate the values with a comma. Round your answer to three decimal places. A bolt manufacturer is very concerned about the consistency with which his machines produce boits. The bolts should be 0.2 centimeters in diameter. The variance of the boits should be 0.025. A random sample of 15 bolts has an average diameter of 0.21 cm with a standard deviation of 0.1587. Can the manufacturer conclude that the bolts vary by more than the required variance at α=0.01 level?
To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).
Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.
Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).
If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.
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To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).
Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.
Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).
If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.
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ERCISE Find the standard deviation from the following set of observation 20, 25, 30, 36, 32, 43
Answer:
7.393691004
Step-by-step explanation:
7.4 is the standard deviation from the following set of observation 20, 25, 30, 36, 32, 43
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
The given data set is 20, 25, 30, 36, 32, 43
Firstly we have to find the mean
Mean=20+25+30+36+32+43/6
=186/6
=31
The deviations from the mean are 20-31=-11
25-31=-6
30-31=-1
36-31=5
32-31=1
43-31=12
Using the definition of standard deviation (σ) , we have:
σ=√121+36+1+25+1+144/6
σ=√328/6
σ=√54.66=7.4
Hence, 7.4 is the standard deviation from the following set of observation 20, 25, 30, 36, 32, 43
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Use inductive reasoning to predict the next number in the sequence.
7, 10, 13, 16, 19, ...
21
21
22
22
23
23
20
Please help me out!!!!!
Answer:
k = \(\frac{4}{3}\)
Step-by-step explanation:
I assume the function is
f(x) = 2x³ - kx² + x - 8k
2(2)³ - k(2)² + 2 - 8k = 2
- 12k + 16 = 0
3k - 4 = 0 ⇒ k = \(\frac{4}{3}\)
The mean number of hours watching TV per week for a sample of 153 teenagers is 27. If the margin of error for the population mean with a 98% confidence interval is 1.2, construct a 98% confidence interval for the mean number of hours watching TV per week for all teenagers.
With 98% confidence interval, all teenagers' mean number of hours watching TV per week will be (26.6,29.4).
98% confidence interval can be calculated as
Point estimate± Error margin
Point estimate=mean number of hours watching TV
students=28.
Error margin=1.4.
As per given data, the 98% confidence interval for all teenagers is
=28± 1.4
=(28-1.4,28+1.4)
=(26.6,29.4)
Statisticians use confidence intervals to assess the level of uncertainty in a sample variable. For instance, a researcher may select numerous samples at random from the same population and compute a confidence interval for each sample to estimate how each sample may correctly reflect the true value of the population variable. With certain intervals including the true population parameter and others not, each produced dataset is distinct. Confidence intervals are a set of values that are constrained by the mean of the statistic and are likely to include an unidentified population parameter. The confidence level is the proportion of likelihood, or certainty, that, after multiple draws from a random sample, the confidence interval would contain the true population parameter.
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PLEASE EXPLAIN
Write the expression with fewer terms.
10x − 3y + 2x
Answer:
hope this help byee byee
5TH GRADE WORK HELP PLEASE I DON'T KNOW HOW TO DO THIS
Answer:
1 yard = 3 feet
We will need to multiply the yard lengths by 3 to convert the measurements to feet.
8 feet x 3 = 24 yards >>>> 8 ft = 24 yards
6 feet x 3 = 18 yards >>>> 6 ft = 18 yards
5 feet x 3 = 15 yards >>>> 5 ft = 15 yards
Then you would do Length x width x depth x 7.5 (Since there are 7.5 gallons in each cubic foot, multiply the cubic feet of the pool by 7.5 to arrive at the volume of the pool, expressed in gallons.)
So...
24 x 18 x 15 x 7.5 =
48, 600
I hope this helps and this helps and I hope this is the answer you needed.
A line passes through the point (4,5) and has a slope of -5/4
Write an equation in slope-intercept form for this line
A city doubles its size every 5 years. If the population is currently 469,900, what will the
population be in 20 years?
the population would be 7,518,400
469,900 • 2^20/5
* 20/5 is part of the exponent
Answer:
7518400
Step-by-step explanation:
Doubling time model:
\(P= P_o 2^{\frac{t}{D}}\)
Here, P is the initial value, D is the time taken to double the quantity, t is the given period of time.
\(P_o = 469,900\\\\\\D = 5 \ years\\t = 20 \ years\)
\(P = 469,900 * 2^\frac{20}{5}\\\\P = 469,900 * 2^4\)
= 469,900 * 2 * 2 * 2 * 2
= 7518400
Martina made 6 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 6 necklaces was $26.40 . If the beads cost for each necklace, $2.30 how much did each pendant cost?
Answer:
1 pendant costed $2.1.Step-by-step explanation:
=> 1 bead = $2.3=> 6 beads = 2.3 x 6=> 6 beads = $13.8=> 26.40 - 13.8=> 12.6=> 12.6 ÷ 6=> $2.1Conclusion:
Hence, 1 pendant costed $2.1.
Hoped this helped.
\(BrainiacUser1357\)
ASAP WILL GIVE BRANLIEST !!!!!!!!!
Answer:
6\(\sqrt{5}\)-4\(\sqrt{7}\)
Step-by-step explanation:
3\(\sqrt{5} -2\sqrt{7} +3\sqrt{5} -\sqrt{28}\\6\sqrt{5}-2\sqrt{7} -2\sqrt{7} \\6\sqrt{5}-4\sqrt{7}\\=2.8334\)
Answer:
The 3rd one!
Step-by-step explanation:
Pls give brainliest i rlly rlly need it—..
1/5 divied by 2 as a fraction
The simplified form of the expression 1/5 divied by 2 as a fraction is 1/10.
What is 1/5 divied by 2 ?Given the expression in the question;
1/5 divied by 2
1/5 ÷ 2
To simplify, multiply 1/2 by the reciprocal of 2
1/5 ÷ 2
1/5 × 1/2
Simplify
( 1 × 1 ) / ( 5 × 2 )
( 1 ) / ( 5 × 2 )
Multiply 5 and 2
( 1 ) / ( 10 )
1/10
Therefore, the simplified form is 1/10.
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The sum of the angle measures of the polygon is540.write and solve an equation to find the value of x
★ According to the question,
Sum of all angles = 540°
So,
67 + 7x + 7x + 4x - 4 + 6x - 3 = 540
→ 60 + 24x = 540
→ 24x = 540 - 60
→ 24x = 480
→ x = 20
Therefore the value of x is 20°
What is the midpoint of AB?
A
F GHI
B
+
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3
3 4 5 6 7
5 6 7 8 9
+
+
point F
point G
point H
O point
Answer:
the answer is point G
It is found that Point G is the midpoint of AB.
What does a midpoint mean?Midpoint, as the word suggests, means the point which lies in the middle of something. Midpoint of a line segment means a point which lies in the mid of the given line segment.
We are Given two points A and B which are located at -6 and 8 on the number line. We need to find the midpoint of AB.
First we have to calculate the distance between AB which can be calculated as;
8-(-6)=14 units
Now, to find the midpoint we have to divide the total distance by 2.
Hence, the mid point of AB is 7 units apart from both points A and B then G.
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What is the volume of a rectangular prism with the dimensions 7m 8m and 9m
Answer:
504 m³
Step-by-step explanation:
The volume of the rectangular prism is V = 504 m³
What is the volume of a prism?A three-dimensional solid object called a prism has two identical ends. It consists of equal cross-sections, flat faces, and identical bases. Without bases, the prism's faces are parallelograms or rectangles.
The volume of a prism is the product of its base area and height
Volume of Prism = B x h
where B = base area of prism
h = height of prism
Given data ,
Let the volume of the prism be represented as V
Now , the value of V is
Let the height of the rectangular prism be H = 9 m
Let the length of the rectangular prism be L = 7 m
Let the width of the rectangular prism B = 8 m
where the base area of prism B = L x W = 7 x 8 = 56 m²
Now , the volume of the prism V = B x H
The volume of prism V = 56 x 9 = 504 m³
Hence , the volume of the rectangular prism V = 504 m³
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You start at (-3, 0). You move right 3 units and down 5 units. Where do you end?
Answer:
(0,-5)
Step-by-step explanation:
If a researcher sets the alpha at .05 and obtains a p value of .06, this means that a null hypothesis would
The null hypothesis would not be rejected and the researcher would fail to find statistical significance at the chosen alpha level of .05.
If a researcher sets the alpha level at .05 and obtains a p-value of .06, it means that the p-value is greater than the chosen significance level. The alpha level, also known as the significance level, represents the threshold for determining whether the results are statistically significant or not.
In hypothesis testing, the null hypothesis assumes that there is no significant difference or relationship between variables.
If the p-value is less than or equal to the alpha level, it suggests that there is enough evidence to reject the null hypothesis and conclude that there is a significant difference or relationship.
However, if the p-value is greater than the alpha level, as in this case with a p-value of .06, it means that the observed data does not provide sufficient evidence to reject the null hypothesis.
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What is the equation of the line that passes through the points (0,-2) and (-4,4)
Answer:
\(y=-\frac{3}{2}x-2\)
Step-by-step explanation:
Slope-intercept form: y = mx + b
Slope formula: \(\frac{y2-y1}{x2-x1}\)
Given points: (0, -2), (-4, 4)
(0, -2) = (x1, y1)
(-4, 4) = (x2, y2)
To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.
First, let's find the slope. To do this, input the given points into the slope formula:
\(\frac{4-(-2)}{-4-0}\)
Simplify:
4 - (-2) = 4 + 2 = 6
-4 - 0 = -4
\(\frac{6}{-4}=-\frac{3}{2}\)
The slope is \(-\frac{3}{2}\).
To find the y-intercept, input the slope and one of the given points(in this example I'll use point (0, -2)) into the equation and solve for b:
\(-2 = -\frac{3}{2}(0)+b\)
-2 = 0 + b
-2 = b
The y-intercept is -2.
Now that we know the slope and the y-intercept, we can write the equation:
\(y=-\frac{3}{2}x-2\)
in the country of united states of heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 53.3 inches, and standard deviation of 4.3 inches. what is the probability that the height of a randomly chosen child is between 44.75 and 58.35 inches? do not round until you get your your final answer, and then round to 3 decimal places.
The probability that the height of a randomly chosen child is between 44.75 and 58.35 inches is approximately 0.8830.
To solve this problem, we need to find the area under the normal curve between the two given heights.
We can use the standard normal distribution by converting the given values into z-scores. The formula for calculating a z-score is
z = (x - μ) / σ
where x is the value we want to convert, μ is the mean of the distribution, and σ is the standard deviation of the distribution.
For the lower bound of 44.75 inches
z1 = (44.75 - 53.3) / 4.3 = -1.98
For the upper bound of 58.35 inches
z2 = (58.35 - 53.3) / 4.3 = 1.17
Now, we need to find the area under the normal curve between these two z-scores. We can use a standard normal table or a calculator to find this probability.
Using a standard normal table, the probability of z being between -1.98 and 1.17 is approximately 0.8830.
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O
What is the slope of the line passing through the points (4,-2) and (-5, 4)?
-3/2
-2/3
3/2
2/3
Answer:
B.) -⅔
Step-by-step explanation:
Subtract each variable
y¹-y
x¹-x
-2-4 = -6
4-(-5) = 9 -6/9 = -⅔
100 points and brainliest! please help, and if you need help on anything im more than happy to help!
Answer:
Here you go!
Step-by-step explanation:
Answer:
If circles A and B are congruent, then AC, CD, DB, and BA are all congruent since they are all radii. We then have:
ACDB is a rhombus.
ADB is an equilateral triangle.
CD is perpendicular to AB.
CD bisects AB.
NEEDS TO BE CORRECT PLZ HELP
Step-by-step explanation:
Linear pairit's hope it helpful to you
Answer:
c
Step-by-step explanation:
its a pair
Easy math problems!!!!!
Answer:
We can use the Pythagorean theorem to solve this:
The Pythagorean theorem states that the hypotenuse of a triangle (the longest side), squared is equal to the sum of the other 2 sides of the triangle, squared. It can be expressed as so:
c^2=a^2+b^2 where c represents the hypotenuse; a and b represent the other 2 sides.
Now that we have an equation we can solve:
c^2=8^2+8^2
c^2=64+64
c^2=128
Since there is no perfect square for 128 we need to put in in simplest radical form
c=√128
Find a number that has a perfect square and multiplies by another number to equal 128
c=√64 x 2
This can be rewritten as so:
c=√64√2
Now for the last step find another perfect square for 64 and have it outside the square like so:
c=8√2
There is no perfect square for 8 so this is in simplest radical form
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
Yao bought 3 feet of blue ribbon and
24 inches of red ribbon. The ribbon costs
$2.00 per foot. What is the total cost of
the ribbon?
Answer:
It would've costed $8 to buy these ribbons.
Step-by-step explanation:
Given:
3 feet of blue ribbon = 36 inches of blue ribbons2 feet of red ribbon = 24 inches of red ribbons\1 foot of ribbon = $2(3 + 2) x 2 = Total cost
=> (5) x 2
= $10
Therefore, it would've costed $10 to buy these ribbons.
Hoped this helped.
PLEASE HELP I NEED IT NOW!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
what is the problem ? you teacher gave you even the conversion rates in the question.
so, when 1 gallon = 3.79 liters, then how much is 4 gallons ?
4 gallons is 4 times 1 gallon. so, of course, we need to apply the same factor to the other side too.
4 gallons = 4×3.79 = 15.16 ≈ 15 liters
and e do the same for all the other table elements :
8 liters = 8×0.26 = 2.08 ≈ 2 gallons
12.5 liters = 12.5×0.26 = 3.25 ≈ 3 gallons
6 gallons = 6×3.79 = 22.74 liters ≈ 23 liters
I purchased 3.4 pounds of apples for $7.29. What is the cost per pound? I need the answer fast.
Answer:
The answer is $2.14 per pound of apples.
Step-by-step explanation:
7.29/3.4= roughly 2.14.
Answer:
is 24.786
Step-by-step explanation:
multiply the numbers and that's how you get your answer and I use my calculator so I know the answer is 24.786
couch in the living room of Angela's dollhouse is 6 centimeters long. The couch in Angela's real living room is 8 feet long.
What is the unit rate that compares the length of the couch in the living room to the length of the couch in the dollhouse?
To find the unit rate that compares the length of the couch in the dollhouse to the length of the couch in the real living room, we need to convert the measurements to the same unit of measurement. Let's convert the length of the couch in the real living room from feet to centimeters:
1 foot = 30.48 centimeters
So, the length of the couch in the real living room is:
8 feet x 30.48 centimeters/foot = 243.84 centimeters
Now we can calculate the unit rate:
Unit rate = length of couch in dollhouse / length of couch in real living room
Unit rate = 6 centimeters / 243.84 centimeters
Unit rate = 0.0246
Therefore, the unit rate that compares the length of the couch in the living room to the length of the couch in the dollhouse is 0.0246 cm/cm.