Answer: 5,922 km
Step-by-step explanation: multiply the value in kilometers by the conversion factor '0.62137119223742'.
So, 5922 kilometers = 5922 × 0.62137119223742 = 3679.76020043 miles.
You are going to use an incline plane to lift an heavy object to the top of a shelving unit with a height of 8 ft. The base of the incline plane is 9 ft from the shelving unit. What is the length of the incline plane?
A nutritionist is interested in testing whether tha mean sodium content of the 300-gram boxes of organic cornflakes differs from 130 milligram. From a sample of 36 boxes, the mean sodium content was 130.3 mg with a standard deviation of 0.75 mg.
Find the value of the test statistic,
. Round your answer to one decimal place.
Find the corresponding P-value,
. Round your answer to three decimal places.
a) The value of the test statistic is t = 0.4
b) The p value of the nutritionist is = 0.690
Given data ,
The sample mean (μ) : 130.3 mg
The sample standard deviation (s): 0.75 mg
The sample size (n): 36
For null hypothesis : Mean sodium content = 130 mg
Let the test statistic value be t , where
t = (x- μ) / (s / √(n))
where μ is the sample mean, μ is the hypothesized population mean (in this case, 130 mg), s is the sample standard deviation, and n is the sample size.
Plugging in the given values, we get:
t = (130.3 - 130) / (0.75 / √(36))
t ≈ 0.4
b)
Since the sample size is large (n = 36), we can assume that the sampling distribution of the sample mean is approximately normally distributed
Therefore, the P value is associated with the calculated t-value
The P-value for a t-value of 0.4 (or -0.4) is 0.690
Hence , the corresponding P value is 0.690
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A random sample of n=1200
�
=
1200
registered voters and found that 620 would vote for the Republican candidate in a state senate race. Let p
�
represent the proportion of registered voters who would vote for the Republican candidate.
Consider testing
H0:p=.50
�
0
:
�
=
.50
Ha:p>.50
�
�
:
�
>
.50
(a) The test statistic is z
�
=
(b) Regardless of what you acutally computed, suppose your answer to part (a) was z = 1.28. Using this z,
p-value =
The critical t value for a confidence level of 80% with a sample size of 11 is 1.833.
What is value?
Value in math is the numerical representation of a concept or quantity. It can be used to measure, compare, or describe a range of concepts, including distance, speed, time, money, and more. Value is an essential part of mathematics, as it allows for the comparison of different numbers and is used in equations and formulas to solve problems. Value is also used to represent specific ideas, such as the value of pi or the value of "infinity".
The critical t value represents the boundary between the middle two categories of a t-distribution with a confidence level of 80%. To calculate this value, we must first calculate the degrees of freedom (DF) which is equal to the sample size minus 1. In this case, the DF is 10.
Next, we must use a t-table to find the t value. Using the chart, we can see that for a confidence level of 80%, the t value is 1.833. This means that any value of t that is higher than 1.833 will fall within the highest category of the t-distribution and is considered statistically significant. Therefore, the critical t value for a confidence level of 80% with a sample size of 11 is 1.833.
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Robert just purchased a house for $186,000 after down payment and fees, his loan is for 20 years at an APR of 4.8%. His monthly payment is $1,207.06. Using this information fill in the amortization chart for his first monthly payment.
Answer:
Step-by-step explanation:
1) Find each set is (All Real Numbers) is the universal set.
{x ∈ (All Real Numbers) : -1≤x≤4}^c
In the format of : {x∈_(N, Q, R, W, or Z)__; _____(Equation)____
2) Find each set if R is the universal set.
{x ∈ (All Real Numbers) : x² ≥ 0 }^c
3)
A woman has seven blouses, five skirts, and twenty-one pairs of shoes in her closet. How many outfits can she create) (Note that an outfit consists of one blouse, one skirt, and one paire of shoes. )
Thank you :)
Answer:
{x∈R : x<-1 or x>4 }
emptyset
735
Step-by-step explanation:
1) Find the points that are not in the original set.
2) same as above
3) 7 possibilities for blouse times 5 possibilities times 21 possibilites
1. {x ∈ R : x < -1 or x > 4}
2. {x ∈ R : x ∈ ∅}
3. The number of outfits = 735.
What is set?Sets are groups of well-defined objects or components in mathematics. A set is denoted by a capital letter, and the cardinal number of a set is enclosed in a curly bracket to indicate how many members there are in a finite set.
1. The set {x ∈ (All Real Numbers) : -1≤x≤4}^c represents the complement of the set {x ∈ (All Real Numbers) : -1≤x≤4}.
The universal set is (All Real Numbers).
The set {x ∈ (All Real Numbers) : -1≤x≤4} contains all real numbers between -1 and 4, including -1 and 4.
Therefore, the complement of this set {x ∈ (All Real Numbers) : -1≤x≤4}^c contains all real numbers that are not between -1 and 4, or outside the interval (-∞, -1) U (4, ∞).
In set builder notation, this can be written as:
{x ∈ R : x < -1 or x > 4}
2. The set {x ∈ (All Real Numbers) : x² ≥ 0 }^c represents the complement of the set {x ∈ (All Real Numbers) : x² ≥ 0}.
The universal set is R.
The set {x ∈ R : x² ≥ 0} contains all real numbers, since any real number squared is always greater than or equal to 0.
Therefore, the complement of this set {x ∈ R : x² ≥ 0}^c contains no real numbers, since all real numbers satisfy the condition x² ≥ 0.
In set builder notation, this can be written as:
{x ∈ R : x ∈ ∅}
3. To find the number of outfits the woman can create, we need to multiply the number of options for each clothing item together.
The number of outfits = number of blouses × number of skirts × number of pairs of shoes
= 7 × 5 × 21
= 735
Therefore, the woman can create 735 outfits.
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Solve (x – 3)2 = 49. Select the values of x. –46 -4 10 52
An average silt loam soil with a depth of 4 ft has how many inches of available water capacity?
(Hint: Review the following USDA FAQ on Available Water Capacity and identify the AVERAGE value of the plant available water capacity for a silt loam soil. Note that this value is given as a fraction of the total volume. Thus, if the fraction is 0.18 and the rooting depth is 2.5 feet (30 inches), the Available Water Capacity would be 0.18*30 = 5.4 inches)
There are 48 inches of available water capacity.
Given that;
An average silt loam soil with a depth of 4 ft has.
Now, We know that;
1 feet = 12 inches
Hence, We get;
4 feet = 4 x 12 inches
= 48 inches
Thus, There are 48 inches of available water capacity.
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A golfer hits an errant tee shot that lands in the rough. A marker in the center of the fairway is 150 yards from the center of the green. While standing on the marker and facing the green, the golfer turns 105 degrees toward his ball. He then paces off 50 yards to his ball. How far is the ball from the center of the green?
The ball is about ___ yards away from the center of the green.
The ball is about 170 yards away from the center of the green.
It is required to find the third side of the triangle.
From the figure,
Distance from the marker to the center of the green, a = 150,
Distance from the marker to the ball, b = 50 and
The angle between sides a and b, C = 105°
According to the Law of Cosines,
[tex]c^2 = a^2+b^2 - 2abcosC[/tex]
= [tex](150)^2 + (50)^2-2(150)(50)cos(105) \textdegree[/tex]
= 22500 + 2500 - 15000(-0.258)
= 25000 + 3882.28567
= 28882.28567
[tex]c^{2}[/tex] = 28882.28567
c = [tex]\sqrt{28882.28567}[/tex] = 169.94789 ≈ 170 yards
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Here are the numbers of children in 13
elementary school classes.
19, 20, 18, 17, 17, 18, 18, 16, 17, 17, 18, 20, 20, 20
Find the modes of this data set.
If there is more than one mode, write them separated by commas.
If there is no mode, click on "No mode."
The modes of the given data set are 17, 18, and 20 because they appear most frequently.
The given set of data is as follows:
{19, 20, 18, 17, 17, 18, 18, 16, 17, 17, 18, 20, 20, 20}
A mode can be described as an observation with the highest frequency of occurrence among the values that appear most frequently in the provided data.
As per the question, we can see that the values 17, 18, and 20 appear four times, which is more than any other value.
Therefore, the modes of the given data set are 17, 18, and 20.
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Which expressions are equivalent to 31-(-3)?
Select all that apply.
A 3 1/4 - (5/8)
B 3 1/4 + (5/8)
C 3 1/4 + (- 5/8)
D 3 1/4 + (+ 5/8)
E -3 1/4 + (- 5/8)
F -3 1/4 + (+ 5/8)
The value that is equivalent to 31 - (-3) is none of the options
Evaluating the expressions equivalenceFrom the question, we have the following parameters that can be used in our computation:
31 - (-3)
Evaluate the expressions in bracket
So, we have
31 - (-3) = 31 + 3
Evaluate the sum and the difference
So, we have
31 - (-3) = 34
Hence, the soluton is 34
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What number comed next 10 9 8 7 6 5 4 3 2
appomixe the value in the log
The approximation of log(12) from log(2) and log(3) is 1.544
Appomixe the value in the logFrom the question, we have the following parameters that can be used in our computation:
log(2) = 0.4307
log(3) = 0.6826
So, we have
log(12) = log(4 * 3)
Applying the law of logarithm, we h\ave
log(12) = log(4 + log(3)
So, we have
log(12) = 2log(2) + log(3)
substitute the known values in the above equation, so, we have the following representation
log(12) = 2 * 0.4307 + 0.6826
Evaluate
log(12) = 1.544
Hence, the approximation is 1.544
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Tamika has $800 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $482.62.
She buys 3 bicycle reflectors for $10.84 each and a pair of bike gloves for $24.49.
She plans to spend some or all of the money she has left to buy new biking outfits for $52.93 each.
Which inequality can be used to determine o, the maximum number of outfits Tamika can purchase while staying within her budget?
The inequality that can be used to determine x, the number of outfits Tamika can purchase is; 539.63+ 52.93x ≤ 800
The given parameters are:
Budget = $800
New bicycle = $482.62
3 bicycle reflectors = $10.84 each
Pair of a bike gloves = $24.49.
New biking outfits = $52.93each.
Let the number of new biking outfits be x So, we have;
New bicycle + 3 . price of bicycle reflectors + Pair of a bike gloves + New biking outfits <= Budget
This gives;
482.62 + 3( 10.84) + 24.49+ 52.93x ≤ 800
This gives;
539.63+ 52.93x ≤ 800
Solve the inequality;
52.93x ≤ 260.37
Divide by 52.93
x ≤ 4.91
Hence, the inequality is 539.63+ 52.93x ≤ 800
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1. To deliver mail in a particular neighborhood, the postal carrier needs to walk along each of the streets with houses (the dots). Create a graph with edges showing where the carrier must walk to deliver the mail.
The graph for the mail is attached below.
What is graph?
A function, which is a relation that matches every element in its domain with exactly one element in its range, can also be represented as a graph.
Linear function graph. Every linear function has the formula f(x)=ax+b, where an is not zero and a and b are real numbers. ...
Squaring Function Graph. A parabola, or U-shaped curve, is the common name for a squaring function graph. ...
A reciprocal function's graph.
Step Function's graph.
Piece-Wise Function Graph.
The dots on the given figure denoted the houses where the postal carrier needs to go.
The graph is attached below.
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An important application of regression analysis in accounting is in the estimation of cost. By collecting data on volume and cost and using the least squares method to develop an estimated regression equation relating volume and cost, an accountant can estimate the cost associated with a particular manufacturing volume. Consider the following sample of production volumes and total cost data for a manufacturing operation.
The estimated total cost for a production volume of 800 units is $7,906.39.
To develop an estimated regression equation, we can use the least squares method to fit a linear equation of the form:
Total Cost = a + b * Production Volume
where a is the intercept and b is the slope of the line. We can use the given data to calculate the values of a and b as follows:
First, calculate the mean of production volume and total cost:
mean(Production Volume) = (400 + 450 + 550 + 600 + 640 + 700 + 750) / 7 = 586.43
mean(Total Cost) = (5000 + 6000 + 6400 + 6900 + 7400 + 8000) / 6 = 6783.33
Next, calculate the sum of squares of deviations:
SSx = Σ(Production Volume - mean(Production Volume))² = 166,950
SSy = Σ(Total Cost - mean(Total Cost))² = 11,223,333
Calculate the sum of cross-deviations:
SSxy = Σ((Production Volume - mean(Production Volume)) * (Total Cost - mean(Total Cost))) = 892,500
Calculate the slope:
b = SSxy / SSx = 892,500 / 166,950 = 5.34
Calculate the intercept:
a = mean(Total Cost) - b * mean(Production Volume) = 6783.33 - 5.34 * 586.43 = 3414.39
Therefore, the estimated regression equation is:
Total Cost = 3414.39 + 5.34 * Production Volume
For example, if the production volume is 800 units, the predicted total cost would be:
Total Cost = 3414.39 + 5.34 * 800 = 7906.39
Therefore, the estimated total cost for a production volume of 800 units is $7,906.39.
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¿Que es mayor? 50% de 400 o 70% de 200
Snow is piling on a driveway so its depth is changing at a rate of r(t) = 10sqrt(1 - cos(0.5t)) centimeters per hour, where t is the time in hours, 0 <= t <= 5 At time t = 0 , the depth of the snow is 20 centimeters. Use a graphing calculator and round your answer to three decimal places. What is the snow's depth at time t = 5 hours? centimeters
Answer:
58.731 cm
Step-by-step explanation:
You want the depth of accumulated snow after 5 hours if it is 20 cm at 0 hours and is increasing depth at the rate r(t) = 10√(1 -cos(0.5t)) cm/hour.
IntegrationThe attached calculator screen shows the result of the integration. The mode is set to RADians. It took this calculator just over 1 minute to provide its result to 13 significant figures.
The snow's depth at t = 5 hours is 58.731 cm.
__
Additional comment
A different graphing calculator provided the same result to 12 significant figures "instantly." That is shown in the second attachment.
When scientific calculators were rare and expensive, their capability for numerical integration was more limited. Generally one had to specify the tolerance the calculator was to use for its result. These calculators both provided the result to full calculator precision.
The exact result is 20+80(√2)sin(5/8)² ≈ 58.731216038167283412... cm.
We're not quite sure the point of an answer precise to 0.001 cm. The diameter of a snowflake may range from 0.050 to 0.500 cm.
Michael lives in Geo City. A map of the city is found below. If Michael walks directly from school to the park, how far must he travel? Round your answer to the nearest tenth if necessary.
Answer:
The school is at (2, 1), and the park is at (-6, 5).
[tex] \sqrt{ {(2 - ( - 6))}^{2} + {(1 - 5)}^{2} } [/tex]
[tex] \sqrt{ {8}^{2} + {( - 4)}^{2} } [/tex]
[tex] \sqrt{64 + 16} = \sqrt{80} = 4 \sqrt{5} [/tex]
4√5 is about 8.9.
what is 85 divided by 15
Answer:
Step-by-step explanation:
5.666666666667
Answer:
5.66 repeating
or
17/3
Step-by-step explanation:
85/5 = 17
15/5 = 3
Please lmk if you need me to explain!
Have a great day!!
Find the quotient WITHOUT a calculator .
7.29 divided (-9) = (-0.81)
Show your work how did you get your answer
Answer: -0.81
Step-by-step explanation:
Long divide 729 by 9.
Since 7.29 has two decimal places and 9 has none the answer will have 2-0 decimal places. Since 7.29 is positive and -9 is negative, the answer will be negative.
The volume of the cone is 162 yd³. What
is the radius of the cone?
The radius of the cone is 9 yd.
We have,
Volume of Cone= 162π yd³
Height of Cone= 6 yd
Using the formula
Volume of Cone= 1/3πr²h
162π = 1/3πr² (6)
162 = 2r²
r² = 81
r= √81
r= 9 yd
Thus, the radius is 9 yd.
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At the north end mall, the food court in the court hallways are parallel, in the west hall in east hall are perpendicular. The angle made between the east hall in mid court hallways is 45°. What is the measure of angle X 
The measure of angle X in the figure is 135 degrees
What is the measure of angle XFrom the question, we have the following parameters that can be used in our computation:
Court hallways are parallel, in the west hall In east hall are perpendicular.Using the above as a guide, we have the following:
x = 90 + angle made between the east hall in mid court hallways
So, we have
x = 90 + 45
Evaluate
x = 135
Hence, the angle is 135 degrees
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Round 2.6123 to 2 SF
Step-by-step explanation:
2.6 1 2 3 Look at the THIRD figure ...if it is 5 or greater , then round the SECOND number up by 1....o/w leave it alone to get :
2.6 to two SF
Kiet needs to observe a science experiment every 6 minutes for one hour. He makes his first observation at 1:00 p.m. At what time will he make another observation?
Kiet will make his another observation at every multiples of 6 until it reaches at 60 which is at 2 : 00 pm.
Given that,
Kiet needs to observe a science experiment every 6 minutes for one hour.
He makes his first observation at 1:00 p.m.
Now he needs to make the observation every 6 minutes.
This means that his second observation will be at 1:06 pm.
Third observation will be at 1:12 pm.
Fourth will be at 1:18 pm.
It goes on like this for every multiples of 6.
His last observation will be at 2:00 pm which is at the 60th minute after 1.
Hence Kiet will make his observations at every multiples of 6 until it reaches 60.
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please help! Naira paddled 4.5 km with the current in the same amount of time as it took her to paddle 3 km against the current. Naira paddled at an average rate of 5 kmh relative to the water each way. Assume the speed of the current was constant.
What was the speed of the current?
What unit of measurement would you use to weigh an elephant? (2 points)
a
Ounce
b
Ton
c
Millimeter
d
Pound
11) Write the formula for the
sequence.
11) 3, 23, 123, 623, 3123, ...
A) a = n²
4
C) an
O A
О в
О с
O D
=
n
* 1 point
B) a = 5" - 2
n
D) a =
n
2n + 1
n
The value of the formula for the sequence is,
⇒ a (n) = 5ⁿ - 2
We have to given that;
The sequence is,
⇒ 3, 23, 123, 623, 3123, ...
Now, We can formulate;
⇒ 3 = 5 - 2
⇒ 23 = 5² - 2
⇒ 123 = 5³ - 2
⇒ 623 = 5⁴ - 2
Thus, The value of the formula for the sequence is,
⇒ a (n) = 5ⁿ - 2
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John has to type a 2,000-word business research report, and he types at a rate of 40 words per minute. The function R(m) = 2,000 40 m can be used to calculate the number of minutes required to finish after m minutes of typing. What is the domain for function R in this context?
The domain for the function is m ≥ 0
Given data ,
Let the function be represented as f ( x )
Now , the value of the function is
R ( m ) = ( 2000/40 ) - m
R(m) = 50 - m
The domain of a function is the set of all possible input values for which the function is defined. In this case, since we are dealing with time, the domain of the function should be non-negative values of m, as negative values of m do not make sense in the context of typing time.
Hence , the domain of function R is m ≥ 0
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3.11 Graded Assignment: Quadratic Equations - Part 2
Can you help me with this
Answer:
Step-by-step explanation:
116 because on the graph it said that 116 sophmores were a no
