Jamie is working on simplifying a problem with negative exponets and got the answer 1/4³. What might Jamie's original expression have been? In other words, work backwards and rewrite this expression with a negative exponet
Answer:
Your answer would be 4^-3.
Step-by-step explanation:
So, a negative exponent by definition, is writing out 1/x^y. Where x is the number and y is the negative exponent.
In this case, 4 would be the number and -3 would be the negative exponent.
So we're going from 1/x^y to x^-y in order to solve this. Therefore, this is something where the numbers can just be plugged in.
1/x^y ---> x^-y
1/4^3 ---> 4^-3
Your answer would be 4^-3.
Please help and thank you
Answer:
2.7>217/100
Step-by-step explanation:
two numbered 1 to 6 dice are thrown together and their scores are added. the probability that the sum will be 4 is?
Answer:
[tex]Pr = \frac{3}{36}[/tex]
Step-by-step explanation:
Given
2 number die
Required
P(Sum = 4)
The sample space of 2 die is:
[tex]S = \{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6), (2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)[/tex]
[tex](3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6), (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)[/tex]
[tex](5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6), (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)[/tex]
[tex]n(S)= 36[/tex]
The pairs that adds up to 4 are:
[tex]Sum(4) = \{(1,3), (2,2),(3,1)\}[/tex]
[tex]n(Sum) =3[/tex]
So, the probability is:
[tex]Pr = \frac{n(Sum)}{n(S)}[/tex]
[tex]Pr = \frac{3}{36}[/tex]
Please don’t troll include work
please help me with this
9514 1404 393
Answer:
C = 40°c ≈ 5.79a ≈ 6.89Step-by-step explanation:
The acute angles in a right triangle are complementary, so ...
C = 90° -50°
C = 40°
__
SOH CAH TOA reminds you of the relations ...
Cos = Adjacent/Hypotensue
Sin = Opposite/Hypotenuse
Then ...
cos(50°) = c/9
c = 9·cos(50°) ≈ 5.79
sin(50°) = a/9
a = 9·sin(50°) ≈ 6.89
Find the surface area of the prism.
5 cm
3 cm
7 cm
A prism has 6 sides.
2 sides are 7 x 5
2 are 3 x 5
2 are 3 x7
Surface area = 2(7x5) + 2(3x5) + 2(3x7)
Surface area = 70 + 30 +42
Surface area = 142 square cm
Answer:
A=2(wl+hl+hw)
A= 2 (3×7+7×5+5×3)
A=2×71
A=142
The management of a relatively new social networking website named BooglePlus is conducting a pilot study comparing use of its own site with use of a longer established social networking site named FaceList. Some articles published on the Internet give the reader the opportunity to register votes (called "likes") for the article on social networking sites to which the reader belongs. A BooglePlus employee selects from the Internet a random sample of 28 articles where the opportunity is given for registering votes for the article on both BooglePlus and Face List. Letting x be the number of votes on FaceList and y be the number of votes on the BooglePlus, the slope of the least squares regression line of y on x is found to be 0.0623, with a standard error of 0.0224.
Required:
What could be used to compute a 95% confidence interval for the slope of the population regression line of y on x?
Answer:
0.0623 ± ( 2.056 )( 0.0224 ) can be used to compute a 95% confidence interval for the slope of the population regression line of y on x
Step-by-step explanation:
Given the data in the question;
sample size n = 28
slope of the least squares regression line of y on x or sample estimate = 0.0623
standard error = 0.0224
95% confidence interval
level of significance ∝ = 1 - 95% = 1 - 0.95 = 0.05
degree of freedom df = n - 2 = 28 - 2 = 26
∴ the equation will be;
⇒ sample estimate ± ( t-test) ( standard error )
⇒ sample estimate ± ( [tex]t_{\alpha /2, df[/tex]) ( standard error )
⇒ sample estimate ± ( [tex]t_{0.05 /2, 26[/tex]) ( standard error )
⇒ sample estimate ± ( [tex]t_{0.025, 26[/tex]) ( standard error )
{ from t table; ( [tex]t_{0.025, 26[/tex]) = 2.055529 = 2.056
so we substitute
⇒ 0.0623 ± ( 2.056 )( 0.0224 )
Therefore, 0.0623 ± ( 2.056 )( 0.0224 ) can be used to compute a 95% confidence interval for the slope of the population regression line of y on x
Algebraic expression for six times 4 Less Than 3 times x
Answer:
6(3x - 4)
Step-by-step explanation:
From the question, we can deduce the following points;
- 6 is multiplied by 3x minus 4
Translating the word problem into an algebraic expression, we have;
6 * (3x - 4)
Rewrite the function by completing the square. f(x)=x^{2}+8x+4
Answer:
[tex]\implies f(x) = ( x + 2)^2[/tex]
Step-by-step explanation:
Given :-
f(x) = x² + 8x + 4 .And we need to rewrite the function by completing the square. The function is ,
[tex]\implies f(x) = x^2+8x + 4[/tex]
We can rewrite the function in the form of ,[tex]\implies ( a + b)^2= a^2+b^2+2ab [/tex]
Rewriting the function :-
[tex]\implies f(x) = x^2+8x + 4\\\\\implies f(x) = x^2 + 2.2.2x + 2^2[/tex]
This is similar to the whole square form stated above . So ,[tex]\implies f(x) = ( x + 2)^2[/tex]
Hence the function in whole square form is (x + 2)² .
What is the solution set to the equation 15-4x=x^2-6x?
Answer:
x = 5 and x = -3
Step-by-step explanation:
15 - 4x = x² - 6x
15 = x² - 2x
0 = x² - 2x - 15
Now if solved using quadratic formula the answer would be:
x = 5 and x = -3
Hope this helps!
The table shows linear relationship between the values of X and Y.
Answer:
The correlation is [{-3,6,9},{1,-2,-3}]
Step-by-step explanation:
The result is -1
Students on the baseball team and in the French club were asked how many pets they have. The results are shown.
Baseball Team: 0,0,0,1,1,1,1,1, 2, 2, 2,3,3,3,4
French Club: 0,0,1, 1, 1, 2, 2, 2, 2,3,3,3,3,4,6
What is the difference of the means of the two sets of data?
A. 0.6
B. 1
O C. 1.9
D. 2
Answer:
A
Step-by-step explanation:
The baseball teams total is 24, divided by the number of answers, 25, is 1.6.
The French Club’s total is 33, divided by the number of answers, 15, is 2.2.
2.2-1.6 is 0.6.
during the council meeting, the number of women is 2 times the number of men.how many women and men attended the meeting if there were 30 people present?
La ecuación de la recta que pasa por el punto P(1,3) y es paralela a la recta
Answer: No puedo responder a esto sin que me muestres el problema.
derive Euler's formula e^(ix) - cos(x) + i*sin(x) by using taylor series expansion
Answer:
the answer is probably 5
What is the mean of the data set below? Round to the nearest tenth when necessary. 96, 98, 56, 88
search up mean calculator
The ratio of boys to girls in a class
is 5:7. There are 36 students in the
class. How many more girls than boys
are there?
Answer:
tbh i may be too late but the answer is 6
Step-by-step explanation:
the ratio 5:7 in the question is basically saying for every 5 boys are 7 girls
if you multiply the number of boys by 5 ( which would equal 15) you would have 21 girls, 15 + 21 equals 36. 21- 15= 6 giving us the anser
What is the value of a for the exponential function in the
graph represented in the form of f(x) = a(b')?
O-4
0 -3
O 3
O4
Answer:
3
Step-by-step explanation:
Exponential equation:
An exponential equation has the following format:
[tex]y = a(b)^x[/tex]
In which a is the value of y when x = 0.
In this question:
When [tex]x = 0, y = 3[/tex]. Thus, we have that a = 3.
simplify 7.06 ×1000 - 1976 ÷100
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{7.06}\times\large\text{1,000 - 1,976}\div\large\text{100}\\\large\text{7.06}\times\large\text{1,000 = \boxed{\bf 7,060}}\\\large\text{7,060 - 1,976}\div\large\text{100}\\\large\text{1,976}\div\large\text{100 = 494}\div\large\text{25 = \boxed{\bf 19.76}}\\\large\text{7,060 - 19.76}\\\mathsf{= \boxed{\bf \ Answer: \dfrac{17,6006}{25}\ or\ 7,040.24}}\leftarrow\large\text{either of those choices should}\\\large\text{work because they are both equivalent to each other }[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
8.36 Football and Brain Size: Randomization Test Exercise 8.35 describes a study examining hippocampus volume in the brain between controls who have never played football, football players with no history of concussion, and football players with a history of concussion. The data are available in FootballBrain. Use StatKey or other technology to conduct an ANOVA randomization test to determine whether there is a significant difference in mean hippocampus volume between the three categories. What is the F-statistic for the observed data
Answer:
Since the calculated F= 2.8657 does not lie in the critical region F (2,2)≥ 19 we conclude that there no difference between the means.
Since the calculated F= 205.0819 lies in the critical region F(1,2) ≥ 18.51 we conclude that there is a difference between the standard deviations of the three groups.
The F- statistic for the observed data is 0.101 as calculated by F- test in excel.
Step-by-step explanation:
To conduct an ANOVA randomization test we perform anova without replication in excel.
The data for the test is
Mean Standard Deviation Sample Size
Never
Played Football 7602.5 1074 25
FB with no History 6459.2 779.9 25
FB with Concussion 5734.6 593.4 25
Total 6598.8 1133.5 75
Anova: Two-Factor Without Replication
SUMMARY Count Sum Average Variance
Row 1 2 8676.5 4338.25 21310656.13
Row 2 2 7239.1 3619.55 16127224.25
Row 3 2 6328 3164 13215968.72
Column 1 3 19796.3 6598.766667 886871.7433
Column 2 3 2447.3 815.7666667 58708.90333
ANOVA Table
Source Sum of Degrees Mean
of Variation Square of freedom Squares
SS df MS F P-value
B/w Rows 1401945.703 2 700972.8517 2.8657 0.259
B/w Col 50164633.5 1 50164633.5 205.0819 0.00484
Error 489215.59 2 244607.795
Total 52055794.79 5
Set up the null and alternate hypotheses :
H0 ; there's no difference between the means and
there's no difference between the standard deviations
against the claim
Ha: there's a difference between the means and
there's a difference between the standard deviations
The significance level is chosen at 0.05
The test statistics to use are
F1= estimated variance from Between Means/ estimated variance from Error SS
F1= s1²/s3²
F1= estimated variance from Between Standard Deviations / estimated variance from Error SS
F2- s2²/s3²
with υ1= (2,2) and υ2(1,2) degrees of freedom.
The critical regions for F (2,2)≥ 19 for 0.05 significance level
and F(1,2) ≥ 18.51 for 0.05 significance level
Since the calculated F= 2.8657 does not lie in the critical region F (2,2)≥ 19 we conclude that there no difference between the means.
Since the calculated F= 205.0819 lies in the critical region F(1,2) ≥ 18.51 we conclude that there is a difference between the standard deviations of the three groups.
The F- statistic for the observed data is 0.101 as calculated by F- test in excel.
Given f (x) = StartLayout Enlarged left-brace first row x squared minus one-third x, for x not-equals negative 1 second row negative 1, for x = negative 1 EndLayout. What is Limit of f (x) as x approaches negative 1?
Negative five-thirds
Negative four-thirds
Four-thirds
Five-thirds
Answer:
Four-thirds
Step-by-step explanation:
If you graph the first equation on desmos, then graph the equation x = -1, the intersection is at 1.333333, making the answer 4/3.
The Limit of f (x) as x approaches negative 1 is 4/3, the correct option is C.
What is a Function?A function is a law that relates a dependent and an independent variable.
f(x) = x² - (1/3)x x ≠ -1
= -1 x = -1
[tex]\lim_{x \to \ -1} f(x)[/tex] = (-1)² - (1/3)(-1)
f(x) = 1 + (1/3)
f(x) = 4/3
To know more about Function
https://brainly.com/question/12431044
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Which could be the length of BC
11 ft
13 ft
15 ft
18 ft
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
From Pythagoras Rule
c=√1²+2²
c=√5 cm
c= 2.2cm
To the Nearest tenth..
Please help due in 10 min!!! Solve for X
Answer:
x == 9
Step-by-step explanation:
Angle at the vertex is half the difference of those at the intercepted arcs;
35 = 1/2(120-15x+5)
35 * 2 = 120-15x-5
70 = 115 - 5x
70 - 115 = -5x
-45 = -5x
x = 45/5
x = 9
Hence the value of x is 9
The area of a rectangle is 99 square meters. The length is 11 meters. Find the width.
Answer:
9 meters
Step-by-step explanation:
To find the area of a rectangle you do length times width. To find a side length, or the width divide the area by the length. 99/11=9.
The width is 9 meters.
Helppppppppppp !!!!!!!!!!!!!!!!!!!!!!
Answer:
The line equation is Y=(1/2)x+2
Step-by-step explanation: Start with the standard from: y=mx+b
Find the slope, or change in the y value divided by change in the x value.
For this graph the slope is 1/2 meaning the y value goes up once every time the x value goes up two. this is represented by the m value
Now we need to find the y intercept, or where the graph passes through the y intercept, this is represented by b
We find the intercept by inserting a point n the line into our equation and solving for b:
Point: (2,3) Equation: y=(1/2)x+b
3=(1/2)2+b
3=1+b
-1 -1
2=b
Can you help me with this?
Answer:
B =30 yd²
Step-by-step explanation:
total area
= area of rectangle + area of triangle
=(6*4)+(1/2 * 3 * 4)
=30
Answer:
30
Step-by-step explanation:
The area formula for trapezoid- A=1/2*h*(b1+b2)
So- 1/2*4*(6+9)
us
If f(x) = x2, and
g(x) = x – 1, then
g(f(x)) = x[?] + [?]
Answer:
[tex]g(f(x)) = x^{[2]} +[-1][/tex]
Step-by-step explanation:
Given
[tex]f(x) = x^2[/tex]
[tex]g(x) =x -1[/tex]
Required
[tex]g(f(x))[/tex]
We have:
[tex]g(x) =x -1[/tex]
Replace x with f(x):
[tex]g(f(x)) = f(x) -1[/tex]
Substitute [tex]f(x) = x^2[/tex]
[tex]g(f(x)) = x^2 -1[/tex]
Hence:
[tex]g(f(x)) = x^{[2]} +[-1][/tex]
Binh has to write an 8 page report. If he has written 3/4 of his report so far, how many pages has he written?
Answer:
6
Step-by-step explanation:
you're overthinking the problem, all you have to do is multiply 8 and (3/4) to get 6, super easy
Spain settled Texas because of threats from
a. France.
b. hostile Indians.
C. England .
d. the United States.
Answer:
The answer is A, France
Answer:
Spain settled taxes because of threats from France