Answer:
In improper form your solution will be [tex]\frac{90}{7}[/tex]. As a mixed fraction it will be [tex]12\frac{6}{7}[/tex].
Step-by-step explanation:
The first thing we want to do here is to simplify this expression. After doing so, " a " and " b " should be multiplied to result in a possible improper fraction,
[tex]\left(81x^{\frac{2}{7}}\right)\:\left(2/9x^{\frac{3}{7}}\right)\:[/tex] - Apply exponential rule " [tex]\:a^b\cdot \:a^c=a^{b+c}[/tex] "
= [tex]81\cdot \frac{2}{9}x^{\frac{2}{7}+\frac{3}{7}}[/tex] - Combine fractions [tex]\frac{2}{7}[/tex] and [tex]\frac{3}{7}[/tex]
= [tex]81\cdot \frac{2}{9}x^{\frac{5}{7}}[/tex] - Multiply the fractions, and simplify further
= [tex]\frac{162x^{\frac{5}{7}}}{9}[/tex] = [tex]18x^{\frac{5}{7}}[/tex] - This is out simplified expression
Now that we have this simplified expression, we can see that a = [tex]18[/tex], and b = [tex]\frac{5}{7}[/tex]. Therefore, multiplying the two we should receive the improper fraction as follows,
[tex]18 * \frac{5}{7}[/tex] = [tex]\frac{90}{7}[/tex] - Note that this is in improper form. If you want your solution in a mixed fraction, it will be [tex]12\frac{6}{7}[/tex].
The average weight of men between the ages of 40-49 is 202.3 pounds with a standard deviation of 50.7 pounds. Find the probability that a man in this age group is under 180 pounds if it is known that the distribution is approximately normal. Group of answer choices
Answer:
33% probability that a man in this age group is under 180 pounds
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this question:
[tex]\mu = 202.3, \sigma = 50.7[/tex]
Find the probability that a man in this age group is under 180 pounds if it is known that the distribution is approximately normal.
This is the pvalue of Z when X = 180.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{180 - 202.3}{50.7}[/tex]
[tex]Z = -0.44[/tex]
[tex]Z = -0.44[/tex] has a pvalue of 0.33
33% probability that a man in this age group is under 180 pounds
Lancelot Manufacturing is a small textile manufacturer using machineminus−hours as the single indirect − cost rate to allocate manufacturing overhead costs to the various jobs contracted during the year. The following estimates are provided for the coming year for the company and for the Case High School band jacket job.
Company Cae High School Job
Direct materials $40,000 $2,000
Direct labor $10,000 $400
Manufacturing overhead costs $45,000
Machine-hours 100,000 mh 900 mh
What is the bid price for the Case High School job if the company uses a 40% markup of total manufacturing costs?
A. $1,122.
B. $3,927.
C. $960.
D. $3,360.
Answer:
The correct answer is B.
Step-by-step explanation:
Giving the following information:
Job:
Direct materials= $2,000
Direct labor= $400
Machine-hours= 900 mh
Company:
Manufacturing overhead costs $45,000
Machine-hours 100,000 mh
Selling price= 40% markup of total manufacturing costs
First, we need to calculate the predetermined overhead rate to allocate overhead:
Predetermined manufacturing overhead rate= total estimated overhead costs for the period/ total amount of allocation base
Predetermined manufacturing overhead rate= 45,000/100,000
Predetermined manufacturing overhead rate= $0.45 per machine hour
Now, we can calculate the total cost and the selling price:
Total cost= 2,000 + 400 + 0.45*900= $2,805
Selling price= 2,805*1.4= $3,927
Which of the following shows the union of the sets? {1, 5, 10, 15} {1, 3, 5, 7}
Answer:
{ 1,3,5,7,10,15}
Step-by-step explanation:
The union means join together, or all the elements of both sets
{1, 5, 10, 15} U {1, 3, 5, 7}
= { 1,3,5,7,10,15}
Answer:
Step-by-step explanation:
Union of two sets contains the elements that belongs to A set or B set or both
A= {1,5,10, 15}
B ={1,3,5,7}
A U B = {1,3,5,7,10,15}
help help help pls pls
Answer:
C. 2y = -12
Step-by-step explanation:
Well a function is when all x values have only one corresponding y value and on a graph we can use the vertical line test and in doing so we know that the answer is C. 2y = -12
Answer:
Step-by-step explanation:hi
Which absolute value function, when graphed, represents the parent function, f(x) = |x|, reflected over the x-axis and translated 1 unit to the right? f(x) = –|x| + 1 f(x) = –|x – 1| f(x) = |–x| + 1 f(x) = |–x – 1|
Answer:
Hello There. ♡ The correct answer is: f(x) = -|x-1|
The parent function is f(x) = |x|
Then the function is reflected over the x-axis, so the f(x) will become -f(x)'. The function will become:
f(x) = -|x|
-f(x)' = |x|
f(x)' = -|x|
After that, the function is translated 1 unit to the right. That mean x will become x'-1. The function will become:
f(x) = -|x|
f(x) = -|(x'-1)|
f(x) = -|x'-1|
Hope It Helps! :)
ItsNobody~ ♡
Answer:
its b on edge 2020
Step-by-step explanation:
Use the given information to determine if the geometric series converges or
diverges. If it converges, find the sum.
ai = 0.75; r = 5
a) The series converges to 3.75.
b) The series converges to 0.15.
c) The series diverges. There is no sum.
d) The series converges to 20.
Answer:
c) The series diverges. There is no sum.
Step-by-step explanation:
A geometric series is a series of the form:
[tex]S = \Sigma_{i=0}^{n} a\cdot r^{i}[/tex], [tex]\forall i \in \mathbb{N}_{O}[/tex]
Where:
[tex]a[/tex] - First term of the series, dimensionless.
[tex]r[/tex] - Common ratio, dimensionless.
A geometric series converges only if [tex]|r| < 1[/tex]. As [tex]r > 1[/tex], the geometric series diverges. Hence, the right answer is C.
y=x2+3x+1 has how many real roots?
Answer:
2 real solutions
Step-by-step explanation:
hello,
[tex]\Delta = b^2-4ac=3^2-4*1*1=9-4=5>0[/tex]
as this is > 0 there are 2 different real solutions
hope this helps
The quadratic equation, y = x² + 3x + 1 has two real roots.
How to define the nature of roots in a quadratic equation?In a quadratic equation of the form, ax² + bx + c = 0, the nature of the roots depends upon the value of the discriminant (D), which is calculated by the formula, D = b² - 4ac.
If the value of D > 0, the equation has real and distinct roots.
If the value of D = 0, the equation has real and equal roots.
If the value of D < 0, the equation has imaginary roots.
How to solve the questionIn the question, we are given an equation y = x² + 3x + 1 and are asked to say how many real roots it has.
To find the roots, we first equate y to 0.
∴ y = x² + 3x + 1 = 0.
Now comparing the equation x² + 3x + 1 to the standard equation ax² + bx + c, we get a = 1, b = 3, and c = 1.
Now, the nature of the roots depends upon the discriminant (D),
D = b² - 4ac = 3² - 4.1.1 = 9 - 4 = 5.
∵ Discriminant (D) > 0, the quadratic equation, y = x² + 3x + 1 has both its root real and distinct.
∴ The quadratic equation, y = x² + 3x + 1 has two real roots.
Learn more about quadratic equations at
https://brainly.com/question/1214333
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factor the polynomial expression 16y^4-256x^12
Answer:
see explanation
Step-by-step explanation:
Given
16[tex]y^{4}[/tex] - 256[tex]x^{12}[/tex] ← factor out 16 from each term
= 16([tex]y^{4}[/tex] - 16[tex]x^{12}[/tex] ) ← difference of squares which factors in general as
a² - b² = (a - b)(a + b), thus
[tex]y^{4}[/tex] - 16[tex]x^{12}[/tex]
= (y² )² - (4[tex]x^{6}[/tex] )²
= (y² - 4[tex]x^{6}[/tex] )(y² + 4[tex]x^{6}[/tex] )
Now y² - 4[tex]x^{6}[/tex] ← is also a difference of squares
= y² - (2x³)²
= (y - 2x³)(y + 2x³)
Thus
16[tex]y^{4}[/tex] - 256[tex]x^{12}[/tex]
= 16(y - 2x³)(y + 2x³)(y² + 4[tex]x^{6}[/tex] )
Answer:
Step-by-step explanation:
4y^2+16x^6, 2y, 4x^3, 2y, 4x^3
Find the indefinite integral by using the substitution x = 4 sec(θ). (Use C for the constant of integration.) x2 − 16 x d
Answer:
[tex]\frac{x^2-16}{2} + 16ln\frac{4}{x} +16C[/tex]
Step-by-step explanation:
Given the indefinite integral [tex]\int\limits{\frac{x^2-16}{x} } \, dx[/tex], using the substitute
x = 4 sec(θ)...1
The integral can be calculated as thus;
First let us diffrentiate the substitute function with respect to θ
dx/dθ = 4secθtanθ
dx = 4secθtanθdθ... 2
Substituting equation 1 and 2 into the integral function we will have;
[tex]\int\limits{\frac{(4sec \theta)^2-16}{4sec \theta} } \, 4sec \theta tan \theta d \theta\\\int\limits{\frac{16sec^2 \theta-16}{4sec \theta} } \, 4sec \theta tan \theta d \theta\\\int\limits{\frac{(16(sec^2 \theta-1)}{4sec \theta} } \, 4sec \theta tan \theta d \theta\\\\from \ trig \ identity,\ sec^2 \theta - 1 = tan^\theta\\\\\int\limits{\frac{16 tan^2 \theta}{4sec \theta} } \, 4sec \theta tan \theta d \theta\\\\\int\limits 16 tan^3 \theta d \theta\\\\[/tex]
Find the remaining solution in the attachment.
HELPSelect the correct answer.
Which table shows a proportional relationship between a and b?
Answer:
B
Step-by-step explanation:
table B: because when x increases y increases at the same rate and stay the same . the graph has proportional relation when it is a straight line passes through origin
for B :25/20=30/24=40/32=5/4
y=5/4 x
John is a drummer who purchases his drumsticks online. When practicing with the newest pair, he notices they feel heavier than usual. When he weighs one of the sticks, he finds that it is 2.44 oz. The manufacturer's website states that the average weight of each stick is 2.00 oz with a standard deviation of 0.19 oz. Assume that the weight of the drumsticks is normally distributed. What is the probability of the stick's weight being 2.44 oz or greater? Give your answer as a percentage precise to at least two decimal places.
Answer:
1.02% probability of the stick's weight being 2.44 oz or greater
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this question:
[tex]\mu = 2, \sigma = 0.19[/tex]
What is the probability of the stick's weight being 2.44 oz or greater?
As a decimal, this is 1 subtracted by the pvalue of Z when X = 2.44. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2.44 - 2}{0.19}[/tex]
[tex]Z = 2.32[/tex]
[tex]Z = 2.32[/tex] has a pvalue of 0.9898
1 - 0.9898 = 0.0101
1.02% probability of the stick's weight being 2.44 oz or greater
At a particular chess club, it is quite common for a chess game to take over two hours to complete. Suppose that the lengths of these games are normally distributed with a mean of 153 minutes and a standard deviation of 45 minutes. Games which last in the longest 1% of all contests are given special recognition on an "Endurance Board" for all club members to see. How long would a game need to last to qualify for the "Endurance Board?"
Answer:
A game would need to be at least 257.67 minutes long to qualify for the Endurance Board.
257.67 minutes = 257 minutes, 40 seconds = 4 hours, 17 minutes, 40 seconds.
Step-by-step explanation:
Games that are given special recognition on the Endurance Board are the games that last in the longest 1% of all games.
If X is the random variable that represents the time a chess game takes before it is completed.
X is said to be normally distributed with
Mean = μ = 153 minutes
Standard deviation = σ = 45 minutes
Let games that last the longest 1% of the time last for a minimum of x' minutes.
P(X > x') = 1% = 0.01
P(X ≤ x') = 1 - P(X > x') = 1 - 0.01
P(X ≤ x') = 0.99
Indicating that such games are longer than 99% of all chess games.
This is a normal distribution problem
Let the z-score for these type of longest games with a minimum duration of x' minutes be z'.
P(X ≤ x') = P(z ≤ z') = 0.99
From the normal distribution table, z' = 2.326
z-score of any value is given as the value minus the mean divided by the standard deviation.
z = (x - μ)/σ
So,
z' = (x' - μ)/σ
2.326 = (x' - 153)/45
x' = (2.326×45) + 153
x' = 104.67 + 153 = 257.67 minutes = 257 minutes, 40 seconds.
Hope this Helps!!!
Find the cardinal number for the given set
A = {6, 11, 16,...,76)
The cardinal number is
Answer:
15
Step-by-step explanation:
A={6,11,16,...,76}
a=6,d=11-6=5
[tex]a_{n}=a_{1}+(n-1)d\\76=6+(n-1)5\\76-6=(n-1)5\\n-1=70/5=14\\n=14+1=15[/tex]
so the cardinal number is 15
Arrange the steps in the correct order to perform this subtraction problem. 1.1x 10^3 - 4.9 x 10^2
Answer:
The answer is
610Step-by-step explanation:
Factor the expression
We have
(1.1 × 10 - 4.9) × 10²
Multiply the numbers
That's
( 11 - 4.9) × 100
Subtract the terms in the bracket
That's
( 6.1) × 100
Multiply
We have the final answer as
610Hope this helps you
Mount Whitney is 3072 m tall convert the height to kilometers
Answer:
3.072km
Step-by-step explanation:
[tex]3072m*(\frac{1km}{1000m} )=3.072km[/tex]
The mass of Box A and Box B is 0.6 kg. The mass of Box A and Box C is 1.3 kg.
Box C is 3 times as heavy as Box B. Find the mass of Box A.
Answer:
A=0.25
B=0.35
C=1.05
Step-by-step explanation:
1. A+B=0.6
2. A+C=1.3
3. C=3B
2 subtract 1:
C-B=0.73 substituted:
3B-B=0.7B=0.35C=0.7+0.35=1.05A=0.6-0.35=0.25The critical value t* gets larger as the confidence level increases. True or false?
Answer:
We can find the critical value [tex]t_{\alpha/2}[/tex]
And for this case if the confidence increase the critical value increase so then this statement is True
Step-by-step explanation:
For a confidence level given c, we can find the significance level like this:
[tex] \alpha=1 -c[/tex]
And with the degrees of freedom given by:
[tex] df=n-1[/tex]
We can find the critical value [tex]t_{\alpha/2}[/tex]
And for this case if the confidence increase the critical value increase so then this statement is True
www.g "7 Democrats and 6 Republicans. Four members are selected to attend a conference. Find the probability that the group will consist of all Republicans."
Answer:
2.10% probability that the group will consist of all Republicans.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, the order in which the members are selected is not important. So we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Desired outcomes:
4 republicans from a set of 6.
[tex]D = C_{6,4} = \frac{6!}{4!2!} = 15[/tex]
Total outcomes:
4 members from a set of 6 + 7 = 13.
[tex]T = C_{13,4} = \frac{13!}{4!9!} = 715[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{15}{715} = 0.021[/tex]
2.10% probability that the group will consist of all Republicans.
What is the pre-image of vertext A' if the rule that created the image is
Answer:
a
Step-by-step explanation:
the pythagorean theorem suggests it
how many are 4 x 4 ?
Answer: 16
Step-by-step explanation:
4 * 4 = 16
Write -1/19,7/4,-4/7 in order from least to greatest
Answer:
-1/19,-4/7,7/4
Step-by-step explanation:
first, you divide -1 by 19, which should give you -.0526
then, you divide -4 by 7, which should give you -.5714
after that, you divide 7 by 4, which should give you 1.75
the lesser numbers would be negative, since they are to the left of 0 and positives are to the right.
these steps should give you your answer, which is located above.
I Honestly dont understand all of these that have to do with right angles, tangent lines, and secant lines. can i please get some help.
Answer:
110°
Step-by-step explanation:
m arc DB=140°
m arc BCD=360-140=220°
∠ A=1/2×220=110° (∵angle at the circumference=1/2 angle at the center.)
How is copying line segment similar to copying an angle?
Answer:
In terms of construction, copying a line segment and an angle requires a fixed compass width as a basic tool
Step-by-step explanation:
The basic similarity is in both constructions, or copies is that we are going to use the same compass width in each case as the basic tool to copy a line segment or an angle.
hope this helpes
be sure to give brainliest
Answer:
An angle is form by two rays and the two line segment share a common points and we utilize a straightedge for drawing the comparative figure on paper.
At that point, utilize the straightedge and the compass used to copy this type of figure precisely. To duplicate the given figure, we should copy line as well as angle.
The line of segment are basically formed by adjusting the compass and makes it equal to the line segment length and then copy each point in the figure.
can someone help me with this please??! it would mean a lot
Answer:
Its 2.4, glad to help ya out!
Step-by-step explanation:
Remember v/pi times r squared
Q2) The isoscsles right triangle has 2 of it’s sides 10,10 it’s area is
Answer:
Step-by-step explanation:
side a = 10
Area of isosceles triangle = [tex]\frac{\sqrt{3}a^{2}}{4}\\\\[/tex]
= [tex]\frac{\sqrt{3}*10*10}{4}\\\\=\sqrt{3}*5*5\\\\=25\sqrt{3}\\\\=25*1.732[/tex]
= 43.3 square units
Suppose the eight committee members are ranked and the seating arrangements matter based off of rank. In how many ways can they sit in the 12 possible chairs
Answer:
They can sit in 19,958,400 ways
Step-by-step explanation:
The seating arrangements matter based off of rank, which means that we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this question:
8 seats from a set of 12. So
[tex]P_{(12,8)} = \frac{12!}{(12-8)!} = 19,958,400[/tex]
They can sit in 19,958,400 ways
An exponential function has:
A. a straight line that can be increasing or decreasing.
B.a curved line that can be increasing or decreasing.
C. U-shaped curved lines that increase then decrease or decrease then increase.
D. None of these choices are correct.
Answer:
Answer B is the correct one: a curved line that can be increasing or decreasing.
Step-by-step explanation:
Exponential functions are one-to-one functions, which means that cannot have a U shape. Also, they are not a straight line, since they grow of decrease exponentially (based on a fixed numerical base with the variable as the exponent) They can represent exponential growth showing a curve with increasing values as we move from left to right, or can represent exponential decay showing a curve with decreasing values as we move from left to right.
2. Solve the following.
a. 18:2/3
Answer:
Step-by-step explanation:
18 : 2/3
can also be written as 18 / 2/3 = 18 × 3/2
= 27
Hope it helps
plz mark as brainliest!!!!!
what is equation of the line passing through the points (2/5, 19/20) and ( 1/3, 11/12 ) in slope intercept form
Step-by-step explanation:
A(2/5, 19/20) and B (1/3, 11/12)
AB = [tex]\sqrt{(x_{A} - x_{B} )^2 + (y_{A} - y_{B}) ^2][/tex] = [tex]\sqrt{{(2/5- 1/3 )^2 + (19/20 - 11/12) ^2[/tex] = [tex]\sqrt{5} /30[/tex]
How many normal distributions are there? (1, 10, 30, infinite—pick one)
Answer:
Infinate
Step-by-step explanation:
The normal distribution is dependent on the standard deviation and what the value of the mean is. But this then implies that a different standard deviation or a different mean leads to a different normal distribution. Making there many possibilities for normal distributions.
There are infinitely many possibilities for normal distributions as there are indefinitely many values possible for both the mean and standard deviation.