Answer:
x = ±sqrt(3/2)
Step-by-step explanation:
10x^2 - 6 = 9
Add 6 to each side
10x^2 - 6+6 = 9+6
10x^2 =15
Divide each side by 10
10x^2/10 = 15/10
x^2 = 3/2
Take the square root of each side
sqrt(x^2) = ±sqrt(3/2)
x = ±sqrt(3/2)
Cuanto es 32256 dividido para 25 con proceso
Answer:
49905 dividido por 81 = 616.11
32256 dividido por 25= 1290.24
58308 dividido por 64= 911.06
9218 dividido por 768= 12.0026.
Find the average rate of change of g(x)=2x^4 + 7/x^2 on the interval [-2,4]
Answer:
79.78125
Step-by-step explanation:
The average rate of change (m) on an interval [a, b] is found as ...
m = (g(b) -g(a))/(b -a)
Here, that is ...
m = (g(4) -g(-2))/(4 -(-2))
g(-2) = 2(-2)^4 +7/(-2)^2 = 32+7/4 = 33.75
g(4) = 2(4^4) +7/(4^2) = 512 +7/16 = 512.4375
Then ...
m = (512.4375 -33.75)/6 = 478.6875/6 = 79.78125
The average rate of change of g(x) on [-2, 4] is 79.78125.
_____
The attached graph verifies the calculation and shows the line with that slope goes through the endpoints of the interval.
Find the odds of selecting the later “I” from the word brilliant ?
Answer:
2/9
Step-by-step explanation:
brilliant
9 letters
2 i in the word
In a baseball tournament, teams get 5 points for a win, 3 points for a tie and 1 point for a loss Nathan’s team has 29 points how many different combinations of wins ties and losses can Nathan’s team have
Answer:
37 different combinations
Step-by-step explanation:
First of all, we will count the possible combinations that add up to 29.
-Losses only;
One possibility: 29 losses
-Ties & losses;
Nine possibilities: 1 tie and 26 losses; 2 ties and 23 losses; 3 ties and 20 losses;4 ties and 17 losses; 5 ties and 14 losses; 6 ties and 11 losses; 7 ties and 8 losses; 8 ties and 5 losses; 9 ties and 2 losses
-Wins & losses
Five possibilities: 1 win and 24 losses; 2 wins and 19 losses; 3 wins and 14 losses; 4 wins and 9 losses; 5 wins and 4 losses
Now, what we want to find from the question is number of possibilities for wins, ties, and losses all together. So, we will count up the ties and losses in the remainder for each case of a given number of wins.
Thus;
For 0 Wins: 0 ties and 29 losses; 1 tie and 26 losses; 2 ties and 23 losses; 3 ties and 20 losses;4 ties and 17 losses; 5 ties and 14 losses; 6 ties and 11 losses; 7 ties and 8 losses; 8 ties and 5 losses; 9 ties and 2 losses.
Which sums up to 10 possibilities
For 1 win; 0 ties and 24 losses; 1 tie and 21 losses........8 ties and 0 losses.
Which sums up to 9 possibilities
For 2 wins; 0 ties and 19 losses; 1 tie & 16 losses............ 6 ties and 1 loss.
Which sums up to 7 possibilities
For 3 wins; 0 ties and 14 losses; 1 tie and 11 losses ....... 4 ties and 2 losses.
Which sums up to 5 possibilities
For 4 wins; 0 ties & 9 losses; 1 tie and 6 losses....... 3 ties and 0 losses
Which sums up to 4 possibilities
For 5 wins; 0 ties and 4 losses; 1 tie and 1 loss
Which sums up to 2 possibilities
Thus;
Total number of possibilities of combinations of wins, ties and losses = 10 + 9 + 7 + 5 + 4 + 2 = 37
A pyramid has a square base and a height of 6 ft. The volume of the pyramid is 162 ft^3. Let s be the length of a side of the pyramid's base.
A) In terms of s, the area of the base is ____________ .
B) The formula for the volume of a pyramid gives the equation ___________.
C) Solving this equation shows that s = __________
Answer:
[tex](a)s^2\\(b)162=2s^2\\(c)s=9$ ft[/tex]
Step-by-step explanation:
(a)Base Area
Side length of square base=s
Area of a Square of side length s=[tex]s^2$ ft^2[/tex]
(b)
Height =6 ftVolume=[tex]162 $ ft^3.[/tex]Volume of a Pyramid[tex]=\frac{1}{3}X$Base Area X Height[/tex]
Substituting the given values, we have:
[tex]162=\frac{1}{3}Xs^2 X 6\\\\162=2s^2[/tex]
(c)Solving the equation derived from (b)
[tex]162=2s^2\\$Divide both sides by 2\\s^2=81\\s^2=9^2\\s=9$ ft[/tex]
Solving this equation shows that s =9 ft.
Solve.
2a + 4 > 12
{ala > 2}
{ala > 4}
{ala > 8}
{ala > 10}
Answer:
b) a > 4
Step-by-step explanation:
Step(i):-
Given inequality equation
2 a + 4 > 12
subtracting ' 4' on both sides , we get
2 a + 4 -4 > 12 -4
2 a > 8
Step(ii):-
dividing '2' on both sides , we get
[tex]\frac{2a}{2} > \frac{8}{4}[/tex]
a > 4
Answer:
B
Step-by-step explanation:
Got it right
solve 4 1/2 + 1 3/5.
Answer:
the answer is 6 1/10
Step-by-step explanation:
In the ordered pair (4,3) Does the 3 indicate how far to travel on the x -axis from the origin.
Answer:
No
Step-by-step explanation:
4 indicates how far to travel on the x-axis while 3 indicates how far to travel in the y-axis
The Bay City Cardinals have won 5 out of 8 games. At the same rate, how many games will they have to play to win 60 games?
plss help asap
Answer:
is there a photo ?
Step-by-step explanation:
Evaluate how organizations can use one-sample hypothesis testing to determine if there are performance issues in the organization. Support your response with a specific example.
Answer:
Organizations can use one-sample hypothesis test to determine if there are performance issues in many ways.
It can be applied to the performance of a sector, a machine, a product, an advertising campaing, etc.
For example, we can take the example of a machine. It may be claimed that a specific machine performs significantly worse than the average.
This average would be the population mean: the average performance of the machines of the same type or process.
Then, a sample of the performance of the machine in study is taken and the hypothesis test can be performed to test the claim that this machine performs significantly worse.
Step-by-step explanation:
For example, we have an historic performance for this type of machine of 100 units a day. The machine A in study is sampled 14 days and have a performance of 92 units a day, with a sample standard deviation of 12 units/day. We have to test the claim that the machine A makes less units per day than the average.
Then, the null and alternative hypothesis are:
[tex]H_0: \mu=100\\\\H_a:\mu< 100[/tex]
The significance level is 0.05.
The sample has a size n=14.
The sample mean is M=92.
As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=12.
The estimated standard error of the mean is computed using the formula:
[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{12}{\sqrt{14}}=3.2071[/tex]
Then, we can calculate the t-statistic as:
[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{92-100}{3.2071}=\dfrac{-8}{3.2071}=-2.4944[/tex]
The degrees of freedom for this sample size are:
[tex]df=n-1=14-1=13[/tex]
This test is a left-tailed test, with 13 degrees of freedom and t=-2.4944, so the P-value for this test is calculated as (using a t-table):
[tex]P-value=P(t<-2.4944)=0.0134[/tex]
As the P-value (0.0134) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that machine A produces significantly less units per day than the average.
How many solutions does the following equation have ?
-4x - 7+ 103 = -7 +63
Choose 1 answer:
No solutions
B
Exactly one solution
Infinitely many solutions
Answer:
Exactly one solution
Step-by-step explanation:
Any linear equation in one variable has exactly one solution.
__
Here, it appears to be x=10.
What’s the correct answer for this?
Answer:
B
Step-by-step explanation:
Parallel lines this means they have the same slope -4
The coordinate is (0,0) which means x=0 and y=0
So,
Finding b(y-intercept) for the parallel line
y=mx+b
Where y=0, m=-4 and x=0
0=(-4)(0)+b
0=0+b
So
b=0
So slope intercept form of the parallel line is
y=(-4)x+(0)
y=-4x
The rental of the ice is $75, plus $3 per skater. Write an expression for the cost in dollars for n skaters.
Answer:
f(n)=75+(n*3)
Step-by-step explanation:
help me wit this pls do now
Answer:
see below
Step-by-step explanation:
If x represents the number of dimes, then 2x will represent twice the number of dimes. This is the number of quarters, since there are twice as many quarters as dimes.
There are 6 more nickels than dimes, so the number of nickels is 6 more than x. It is (x+6).
If we use the monetary values in cents, then the total of all coins is ...
25(2x) +10(x) + 5(x+6) = 485 . . . . . . matches choice D
Suppose I have a right trapezoid with base lengths of 4 and 16. Is there any way I can find out what the missing side is? (see image attached)
Answer:
no
Step-by-step explanation:
If you draw a line from the right end of the top base to the bottom base, parallel to the left side, you cut off a right triangle that has a bottom leg of 12 and two unknown sides (height, and slant length).
All you can say is that the unknown slant length is more than 12 units.
If you know the height, you can find the slant length (hypotenuse) using the Pythagorean theorem.
Each person tries to balance his or her time between leisure and work. The tradeoff is that as you work less your income falls. Therefore each person has indifference curves which connect the number of hours of leisure, l, and income, s. If, for example, you are indifferent between 0 hours of leisure and an income of $1125 a week on the one hand, and 10 hours of leisure and an income of $750 a week on the other hand, then the points l = 0, s = 1125, and l = 10, s = 750 both lie on the same indifference curve.
The table below gives information on three indifference curves, I, II, and III.
Weekly Income Weekly Leisure Hours
I II III I II III
1125 1250 1375 0 20 40
750 875 1000 10 30 50
500 625 750 20 40 60
375 500 625 30 50 70
250 375 500 50 70 90
(a) On a sheet of paper, or using a calculator or other technology, graph the three indifference curves. (You will need these to answer part (d) of this problem.)(b) You have 95 hours a week available for work and leisure combined, and you earn $21.45/hour. Write an equation in terms of l and s which represents this constraint. (c) Graph this constraint with your graph of the indifference curves.(d) Estimate from the graph what combination of leisure hours and income you would choose under these circumstances. What is the corresponding number of hours per week you would work?
Answer:
.............gcg................
a. Use the one-mean t-interval procedure with the sample mean, sample size, sample standard deviation, and confidence level given below to find a confidence interval for the mean of the population from which the sample was drawn.
b. Obtain the margin of error by taking half the length of the confidence interval.
c. Obtain the margin of error by using the formula talpha/2. s/(n)^1/2.
x overbar = 20 n = 25 s = 4 confidence level = 98%
Answer:
a) (17.227, 22.773)
b) 2.773
c) 2.773
Step-by-step explanation:
Given:
Sample size, n = 25
Standard deviation, s = 4
Sample mean, x' = 20
Level of significance, a = 0.98 = 1 - 0.98 = 0.02
The degrees of freedom, df, for a t-distribution = n - 1 = 25 - 1 = 24
Using the t table, the Critical value = [tex] t_\alpha _/_2, _d_f = t_0_._0_2_/_2, _2_4 = t_0_._0_1_, _2_4 = 3.4668 [/tex]
Margin of error, E = [tex] t_\alpha _/_2, _d_f * \frac{\sigma}{\sqrt{n}} = 3.4668 * \frac{4}{\sqrt{25}} = 2.773 [/tex]
Limits of 98% confidence interval, we have:
Lower limit : x' - M.E = 20 - 2.773 = 17.227
Upper limit: x' + M.E = 20 + 2.773 = 22.773
Therefore, (17.227, 22.773) is 98% confidence interval.
b) Let's the margin of error by taking half the length of the confidence interval.
Since we are to use half the length of CI, we have:
[tex] M.E = \frac{22.773 - 17.227}{2} = 2.773 [/tex]
c)[tex] M.E = t_\alpha _/_2, _d_f *s/\sqrt{n} [/tex]
[tex] = t * \frac{s}{\sqrt{n}} = 3.4668 * \frac{4}{\sqrt{25}} = 2.773 [/tex]
Who ever answers this correctly will get Brainliest, but be quick because I don’t have all the time.
If you cannot see PLEASE PLEASE PLEASE zoom in. I cannot stress this enough. Thank you in advance. Giving out 30 points too!
Answer:
please refer tp the photo . It s D. 101 in2
Step-by-step explanation:
Saskatchewan Widgets and Manitoba Widgets are two companies that were founded at the same time. Saskatchewan Widgets started 101010 million dollars in debt, and they make a constant yearly profit. After 555 years, they were 666 million dollars in debt. The graph of the balance (in millions of dollars) of Manitoba Widgets as a function of time (in years) is shown below. Which company started with a greater balance?
Answer:
1.B
2.A
Step-by-step explanation:
Answer:
The answer is
1 B
2 A
Step-by-step explanation:
I did it on khan academy :)
Which equation represents the circle shown?
A. (x − 3)2 + (y − 3)2 = 4
B. (x − 3)2 + (y − 3)2 = 16
C. (x + 3)2 + (y + 3)2 = 4
D. (x + 3)2 + (y + 3)2 = 16
E. (x + 4)2 + (y + 4)2 = 3
B. (x-3)2+(y-3)2=16
Equation of circle is
(x-a)2+(y-b)2=r2
Which set of ordered pairs represents y as a function of x ?
Answer:
What Are The Options???
Step-by-step explanation:
Jada works a five hour or 300 minutes shift at a retail store, she gets a 15 minute break what percent of her work shift is her break.
Answer: 5%
Step-by-step explanation:
15 / 300 = 0.05
0.05 * 100 = 5%
Given the inequality -10x + y > 25, determine whether the following two ordered pairs are included in the solution set.
(0, 25)
(-4, 10)
Which of the following statements is true?
Question 5 options:
The point (0, 25) is a solution, but the point (-4, 10) is not a solution.
The point (0, 25) is not a solution, but the point (-4, 10) is a solution.
Both (0, 25) and (-4, 10) are solutions.
Both (0, 25) and (-4, 10) are not solutions.
Answer:
The point (0, 25) is not a solution, but the point (-4, 10) is a solution.
Step-by-step explanation:
You can graph the inequality and check. The first point (0, 25) is on the boundary line, but that line is NOT part of the solution set. The second point (-4, 10) is well inside the solution space.
(0, 25) is not a solution
(-4, 10) is a solution
_____
You can put the values into the inequality and see if a true statement results.
-10(0) +(25) > 25 . . . . False
-10(-4) +(10) > 25 . . . . true
The first point is NOT a solution; the second point IS a solution.
when a number is decreased by 19% the result is 66 what is the original number to
the nearest tenth percent
Answer:
The original number is x = 66 .19
Step-by-step explanation:
Let 'x' be the number
Given data a number is decreased by 19% the result is 66
x - 19% = 66
x-0.19 = 66
Adding '0.19' on both sides , we get
x - 0.19 +0.19 = 66 +0.19
x = 66 .19
The original number is x = 66 .19
The original number is 66.19.
Given that,
The number is decreased by 19% the result is 66.
We have to determine,
What is the original number?
According to the question,
Let, the original number be x,
The number is decreased by 19% the result is 66.
[tex]x - \dfrac{19}{100} = 66\\\\x - 0.19 = 66\\\\x = 66 + 0.19\\\\x = 66.19[/tex]
Hence, The required original number is 66.19.
To know more about Linear inequality click the link given below.
https://brainly.com/question/8138166
angela fully charged her laptop, then unplugged it and tracked the battery level at certain times under constant use. the table below shows her findings. find an equation for the line of best fit, then estimate the battery level after two hours of constant use unplugged. What’s the equation we use ? Solution ? Someone please help fast
Answer:
%=-7t
solution -7% per 1:00
Step-by-step explanation:
Hope this helps
Answer:16
Step-by-step explanation: divded it
please help with this
Answer:
x² + 12x + 35
Step-by-step explanation:
The area of the blue section is x * x = x².
Pink: x * 7 = 7x
Green: x * 5 = 5x
Orange: 7 * 5 = 35
When we add these up we get x² + 12x + 35. Hope this helps!
Answer: x2 + 12x + 35
Step-by-step explanation:
Area of a rectangle = l x w
A = (x + 7) (x + 5)
= x2 + 5x + 7x + 35
= x2 + 12x + 35
At a sale this week, a sofa is being sold for $153.60 .This is a 76% discount from the original price. What is the original price?
Answer:
$21473.33
Step-by-step explanation:
Let the original price be x
76% discount gives $153.60
This means 24/100 * x = $153.60
X= 153.60 * 100 /24 = $21473.33
The original price of the sofa is $21473.33.
What is discounted price?Discount is the difference in price between the selling price of an object and the price listed on the object marked price.
Given that, a sofa is being sold for $153.60, which was on the 76% discount.
Let the original price be x,
x - 76% of x = $153.60,
⇒ 24/100 · x = $153.60
⇒ x = 153.60 · 100 /24 = $21473.33
Hence, the original price of the sofa is $21473.33.
Learn more about discounted price, click;
https://brainly.com/question/19867145
#SPJ2
Choose the correct x-intercepts for the following quadratic fiction
Answer:
Could you please add a photo or the quadratic function?
x^3+3y-xy' = 0
dy/dx = xy^3-xy
Answer:
dy/dx = xy^3-xy =
y = ± √2 = ± 1.4142
x = 0
y = 0
Step-by-step explanation:
Step 1 : Simplify y/d
Step 2 : See below
Step 3 : See below
Pulling out like terms
Trying to factor as a Difference of Squares
Answer:
y = ± √2 = ± 1.4142
x = 0
y = 0
Hope this helps.
Plz I need a lot of help plz solve the answer with an explanation
Step-by-step explanation:
Each roll has 6 possible outcomes, so two rolls have 36 possible sums. We can make a table showing what these sums are:
[tex]\left[\begin{array}{ccccccc}&\textbf{1}&\textbf{2}&\textbf{3}&\textbf{4}&\textbf{5}&\textbf{6}\\\textbf{1}&2&3&4&5&6&7\\\textbf{2}&3&4&5&6&7&8\\\textbf{3}&4&5&6&7&8&9\\\textbf{4}&5&6&7&8&9&10\\\textbf{5}&6&7&8&9&10&11\\\textbf{6}&7&8&9&10&11&12\end{array}\right][/tex]
Of the 36 sums, 10 are greater than 8, and 18 are odd.
P(A) = 10/36 = 5/18
P(B) = 18/36 = 1/2