Answer:
Factor of GCF(Greatest common factor) of given expression = [2 × 3 × m]
Step-by-step explanation:
Given expression;
24m³ + 54m
Find:
The factor of GCF(Greatest common factor) of the given expression.
Computation:
24m³ + 54m
Step 1 :
Write in factor form;
[2 × 2 × 2 × 3 × m × m × m] + [2 × 3 × 3 × 3 × m]
Step 2 :
By taking [2 × 3 × m as common]
[2 × 3 × m][(2 × 2 × m × m) + (3 × 3)]
Step 3 :
[2 × 3 × m][(4m²) + (9)]
Factor of GCF(Greatest common factor) of given expression = [2 × 3 × m]
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!
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.
What is 20000 times 18000
Answer:
ez the answer is 360000000
Step-by-step explanation:
Answer:
the answer is 360000000
Step-by-step explanation:
What is the area of the circle of the eye ?
Answer:
d
Step-by-step explanation:
i think im nt sure th0
an item costs x dollars and then a 20% discount is applied
Answer:
If an item is x dollars and 20% discount is applied, the new price will be: 0.8x
Step-by-step explanation:
100 - 20%(20) = 80
80 = 80% or 0.8
So, the remaining of the price of x will be 0.8x.
Determine the principal value of the function Arcsin(sqrt3/2) (edg)
Answer:
Step-by-step explanation:
You have to be very careful how you put that into your calculator. You need brackets.
2nd function
sin-1
(
3
y^x or x^y or ^
.5
down arrow (if needed)
divide
2
)
= You should get 60
The mean family income for a random sample of 550 suburban households in Nettlesville shows that a 92 percent confidence interval is ($45,700, $59,150). Braxton is conducting a test of the null hypothesis H0: µ = 44,000 against the alternative hypothesis Ha: µ ≠ 44,000 at the α = 0.08 level of significance. Does Braxton have enough information to conduct a test of the null hypothesis against the alternative?
multiple-choice options:
H0: µ > 17 miles per gallon, Ha: µ ≥ 17 miles per gallon
H0: µ ≤ 17 miles per gallon, Ha: µ < 17 miles per gallon
H0: µ = 17 miles per gallon, Ha: µ > 17 miles per gallon
H0: µ = 17 miles per gallon, Ha: µ < 17 miles per gallon
H0: µ = 17 miles per gallon, Ha: µ ≠ 17 miles per gallon
The solution is:
43100 ≤ μ ≤ 59710
And for this case we want to test the following hypothesis:
Null hypothesis: μ = 42000
Alternative hypothesis: µ ≠ 42,000
For this case since the lower value of the confidence interval is higher than 42000 we have enough evidence to reject the null hypothesis at the 55 of significance and we can conclude that the true mean is significantly different from 42000
What is the confidence interval?A confidence interval is a range of values, derived from a sample of data, that is likely to contain an unknown population parameter with a certain level of confidence.
here, we have,
The confidence interval for the mean is given by the following formula:
(1) X± t_α/2* s/√n
And for this case the 95% confidence interval is already calculated as:
43100 ≤ μ ≤ 59710
And for this case we want to test the following hypothesis:
Null hypothesis: μ = 42000
Alternative hypothesis: µ ≠ 42,000
For this case since the lower value of the confidence interval is higher than 42000 we have enough evidence to reject the null hypothesis at the 55 of significance and we can conclude that the true mean is significantly different from 42000.
To learn more about the confidence interval, visit:
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the lenght of the longer leg of a right triangle is 9 ft longer than the lenght of the shorter leg x. The hypotenuse is 9 ft shorter than twice the lenght of the shorter leg.
Answer:
see below
Step-by-step explanation: 5 23 8 03
the lenght of the longer leg of a right triangle is 9 ft longer than the lenght of the shorter leg x. The hypotenuse is 9 ft shorter than twice the lenght of the shorter leg.
shorter leg = x
longer leg = x + 9
hypotenuse = 2x - 9
Pythagorean theorem = a² + b² = c²
shorter-leg² + longer-leg² = hypotenuse²
x² + (x+9)² = (2x - 9)² solve for x
x² + (x+9) (x+9) = (2x - 9)(2x - 9)
x² + (x²+18x+81) = (4x² - 36x + 81)
(2x²+18x+81) = (4x² - 36x + 81)
0 = 2x² -54x
0 = x(2x - 54)
0 = x and 0 = 2x -54
54 = 2x
27 = x
shorter leg = 27
longer leg = 36
hypotenuse = 45
divided all the values by 9 and you get a 3, 4, 5 right triangle, so the answer checks correct
what is
r+15=36
[tex]r + 15 = 36[/tex]
Answer:
Step-by-step explanation:
R=21
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
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
Help me in the next 10 minutes pls
Answer:
516 in.³
Step-by-step explanation:
14 · 6 · 4
336 in.³
10 · 6 · 3
180 in.³
336 in.³ + 180 in.³
516 in.³
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)
PLEASE HELP
I NEED THE ANSWER NOW !!
Answer:
number 1 is the answr
Step-by-step explanation:
Answer:
one i think but i might be wrong
Step-by-step explanation:
Which is greater?.75 or 3/5
Answer:
75 is greater than 3/5
Step-by-step explanation:
May I please have brainiest
need help with this
Answer:
B. {2, 4, 6, 8}
What is the inverse of f(x)=2^x
Answer:
[tex] {f}^{ - 1} (x) = \frac{ln(x)}{ln(2)} [/tex]Step-by-step explanation:
[tex] f(x)=2^x[/tex]
[tex]y = {2}^{x} [/tex]
[tex]x = {2}^{y} [/tex]
[tex] {2}^{y} = x[/tex]
[tex]ln( {2}^{y} )=ln(x)[/tex]
[tex]yln(2)=ln(x)[/tex]
[tex] \frac{yln(2)}{ln(2)} = \frac{ln(x)}{ln(2)} [/tex][tex]y = \frac{ln(x)}{ln(2)} [/tex][tex] {f}^{ - 1} (x) = \frac{ln(x)}{ln(2)} [/tex]Hope it is helpful...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
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a ladder 12 m long just reachese the roof of a building.if the ladder makes an angle of 60° with the building,find the height of building.
Answer:
x/12 = sin(60°)
so x = 12 × 0.86602540378
x = 10.3923048454 m ~ 10.4 m ~ 10m
Hope it helps
derive Euler's formula e^(ix) - cos(x) + i*sin(x) by using taylor series expansion
Answer:
the answer is probably 5
Rewrite using exponents:
A.
4.4.4.4
B.
a.a.a
Answer:
A is 4 with an exponent of 4.
B is A with an exponent of 3.
hope this helps :)
Solve for x.
2x + 4x + 3 = 7 – x + 10
a: x = −4
b: x = −2
c: x = 2
d: x = 4
Answer:
Answer:
A.) 2(-4) + 4(-4) + 3 = 7 -(-4) + 10
-8 -16 + 3 = 21
-24 + 3 = 21
-21 = 21
Answer= -1.
B.) 2(-2) + 4(-2) + 3= 7 -(-2) + 10
-4 -8 + 3 = 19
-12 + 3 = 19
-9 = 19
-2.1.
C.) 2(2) + 4(2) + 3 = 7 -(2) + 10
4 + 8 + 3 = 7 -2 + 10
15 = 15
1.
D.) 2(4) + 4(4) + 3 = 7 -(4) + 10
8 +16 + 3 = 7 -4 + 10
27 = 13
0.481.
What is the value of angle K to the nearest What is the value of angle K to the nearest tenth?
Trig functions
Help!!!!!!!
Answer:
[tex]Cos K = \frac{adjacent}{opposite} = \frac{5}{6}\\\\K = Cos^{-1}(\frac{5}{6} ) = 33.557\\K= 33.6[/tex]
Which could be the length of BC
11 ft
13 ft
15 ft
18 ft
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.
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.
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]
Dave is adding a new patio to the back of his house. The dimensions of the patio are shown below. If one bag of concrete mix will cover 50 square feet, how many bags of concrete will he need?
Answer:
4
Step-by-step explanation:
Multiply base times height for the area
Divide the area by 50
You cant have 3.888 bags so round up to get 4.
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