Answer:
a. Yes
Step-by-step explanation:
The term common variance means that each population has the same variance.
If σ²=σ₁²=σ₂² but unknown then the unbiased pooled or combined estimate of the common variance σ² is calculated.
In the given problem the pooled variance is calculated .
Therefore we assume that that the underlying variances are equal.
Using Student's t distribution
The given data is
Mean 3.74 4.86
Variance 2.78097 0.17142
n 15 15
Pooled variance 1.47620
t= x`1- x`2/ Sp √1/n1+ 1/n2
t = 3.74-4.86/ 1.47620 √1/15+ 1/15
t= -1.12/ 0.539
t= -2.0779
Taking the significance level ∝= 0.05 the
Value of the critical region is t≤ - t∝/2 and t≥ t∝/2 = ±2.048 for
Degrees of freedom = n1+n2- 2= 28
Hence the calculated value of t -2.0779 falls in the critical region therefore null hypothesis is rejected and and it is concluded that the means are not equal.
Ahmad will spend at most $30 on gifts so far he has spent $13 what are the possible additional amounts he will spend?
Answer:
$15
Step-by-step explanation:
Budget = $30
Spent = $13
--------------------------
30 - 15 = $15
Ahmad will spend $15 additional dollars.
4. Thunder Bob's race car traveled at an average speed of 195
miles per hour during a recent championship race. If the
distance traveled (d) varies directly as the time raced (t),
identify which function accurately models the race car's
average distance traveled at any given time during the race.
Which number is the largest ?
-0.65, -0.622, -5/8
Answer: 0.622
step-by-step explanation
Answer:
-0.622.
Step-by-step explanation:
Convert -5/8 to a decimal:
= -0.625.
So the largest number is -0.622.
30 POINTS, NO LINKS, AND ANSWER RIGHT.
-15 = 8z + 7. what is the value of z
What is 5 percent of 300
Answer:
15
5% of 300= 15
Hope this helps!! :) <3
Answer: 5% of 300 is 15
15 x 2 is 30
30 is 10%
10 x 10 100 = 300
Please take a look at the picture then write an explanation to go with the answer.
Thank you :)
Answer:
5/8 inch
Step-by-step explanation:
Subtract
1 - 3/8 = 5/8 inch
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Use the long division method to find the result when 3x^3+23x^2+23x+6 is divided by 3x+2.
Answer:
x^2+7x+3 R0
Step-by-step explanation:
3x+2 | 3x^3+23x^2+23x+6
- 3x^3+2x^2 (x^2)
_____________________
21x^2+23x+6
- 21x^2+14x (7x)
______________________
9x+6
- 9x+6 (3)
_________________________________
0 | x^2+7x+3
Therefore, your quotient is x^2+7x+3
Find the value of X please
Answer:
Step-by-step explanation:
AC⋅EC=BE⋅ED
20*12 = 6x * x
240 =6[tex]x^{2}[/tex]
40 = [tex]x^{2}[/tex]
[tex]\sqrt{40}[/tex] = x
6.324555 = x
Enter the unlock number to unlock this door!
Find the volume of each shape. Then, form the unlock code by arranging the
letters of the shapes in order from greatest to least volume. (NOT drawn to scale!)
44 m
42 m
А
A
С
14 m
Base Area
32 m
17.25 m
72 m
V4 m
B
72m
D
9 34 m
E
5 m
372 m
Base Area = 26 73 m²
872 m
Your answer
I
Please fill out this field.
*See attachment below for the diagram
Answer:
DBECA
Step-by-step explanation:
Recall:
Volume of rectangular prism = Length*Width*Height or
V = Base area * Height
✔️Volume of A:
Length = ½ m
Width = ¼ m
Height = ¼ m
Volume of A = L*W*H = ½*¼*¼
= ¹/32 m³
= 0.03125 m³
✔️Volume of B:
Base area = 32 m²
Height = 7.25 m
Volume of B = base area * height
= 32*7.25
= 232 m³
✔️Volume of C:
Length = ½ m
Width = ¼ m
Height = ½ m
Volume of A = L*W*H = ½*¼*½
= ¹/16 m³
= 0.0625 m³
✔️Volume of D:
Length = 8½ m = 8.5 m
Width = 3½ m = 3.5 m
Height = 9¼ m = 9.25
Volume of A = L*W*H = 8.5 * 3.5 * 9.25
= 275.1875 m³ ≈ 275.2 m³
✔️Volume of E:
Base area = 26⅓ m² ≈ 26.33 m²
Height = 5 m
Volume of E = 26.33 * 5
≈ 131.7 m³
Arrange from greatest to the least volume:
D (275.2) > B (232) > E (131.7) > C (0.0625) > A (0.03125)
The answer code = DBECA
Shirley is 21 years older than Laura. In six years, Shirley will be twice as old as Laura. How old are they each now? Solve by first creating a system of equations and then solving the system of equations. Be sure to define clearly each variable used.
Answer:
7 1/4 years old I think
Step-by-step explanation:
A cell phone battery charges at a rate of 16% every thirty minutes. When initially plugged into the charger, a cell phone has 10% battery.
1.Write an equation relating the amount of time, measured in hours, it takes to charge a cell phone as a function of the battery charge.
2.Use complete sentences to describe the rate in which the battery charges in terms of the time that it is charging.
30 minutes is 1/2 an hour so 16 x 2 = 32 the phone charges at 32% per hour.
1. Multiply the number of hours by the rate and add the original 10% to that for total charge:
Y = 0.32h + 0.10
2. The phone charges at 16% every thirty minutes which is a half hour so you double the rate it charges to get the rate per hour. The phone charges at 32% per hour that it is charging.
The required equation relating the amount of times is Y = 0.32t+0.10.
A cell phone battery charges at a rate of 16% every thirty minutes. When initially plugged into the charger, a cell phone has 10% battery.
What is equation?Equation can be defines. the relation in sentences transform into math expression.
Since battery already has 10% charge i.e. we have 0.10 of intercept
now rate = slope = m
for 30 min rate is 16%, for 1 hr rate become 32% =
hence slope = 32% = 0.32
now put slope and intercept in equation y = mt + c
then,
y = 0.32t + 0.10
where t is time
so the required function is given be
F(t) = 0.32t + 0.10
Thus, the battery increases by 32% every hour. and required relation is F(t) = 0.32t + 0.10
Learn more about equations here:
https://brainly.com/question/10413253
#SPJ2
When walking between rides and attractions, most people walk about 3000 feet in 15 minutes. What is the unit rate in feet per minute?
Express 210 as the product of prime
Answer:
210 = 2 * 3 * 5 * 7
Step-by-step explanation:
210/2 = 105
105 / 3 = 35
35 / 5 = 7
7 / 7 = 0
210 = 2 * 3 * 5 * 7
Solve for the marked angle.
Answer:
m∠KQR = 69°
Step-by-step explanation:
By the definition of intercepted arc and inscribed angle,
Intercepted arc measures the double of the inscribed angle.
m(arc KS + arc SR) = 2m∠KSR
132° + 90° = 2m∠KSR
m∠KSR = 111°
Since, quadrilateral KQRS is a cyclic quadrilateral,
m∠KSR + m∠KQR = 180°
111° + m∠KQR = 180°
m∠KQR = 180° - 111°
m∠KQR = 69°
m∠KQR = m∠Q = 69°
Suppose we want to pick two numbers from 1 to 100 randomly . what is the probability that the sum of the two picked numers is divisible by 5
Answer:
1/5 or 0.2
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one ids attached to the event. If it doesn't a value of zero is attached to the event.
Numbers that would be divisible by 5 are multiples of 5
they include = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100
there are 20 numbers
Probability the two numbers would be divisible by 5 = 20/100
To transform to the simplest form. divide both the numerator and the denominator by 20
1/5
a cashier at the supermarket has $685 in 4 different denomination bills in her register at the end of the day. the number of $5 bills was 10 more than 4 times the amount of $10 bills. the register contained as many $1 bills as $5 bills and $10 bills combined, and two $50 bills. how many bills of each kind did the register contain?
9514 1404 393
Answer:
85 ones70 fives15 tens2 fiftiesStep-by-step explanation:
Let a, b, c, d represent the numbers of $1, $5, $10, and $50 bills, respectively. The problem statement tells us ...
a +5b +10c +50d = 685 . . . . . total amount of cash
b = 10 +4c . . . . . . . . . . . . the number of fives is 10 more than 4 times tens
a = b+c . . . . . . . . . . . as many ones as fives and tens combined
d = 2 . . . . . . . . . . the register contained 2 fifty-dollar bills
__
Substituting for 'a', then for 'b', we have ...
(b+c) +5b +10c +50d = 685
6(10 +4c) +11c +50d = 685
60 +35c +50d = 685
Substituting d=2 and subtracting 160 gives ...
35c = 525
c = 15
b = 10 +4c = 10 +4(15) = 70
a = b+c = 70 +15 = 85
The register contained ...
85 ones70 fives15 tens2 fiftiescan i please get help?
Answer:
41.16 m³
Step-by-step explanation:
Step 1: Formula.
To find the volume of a triangular prism, multiply the base, length, and height by 1/2.
Step 2: Explain and solve.
[tex]formula: base*length*height*1/2[/tex]
[tex]base = 4.2[/tex]
[tex]length = 7[/tex]
[tex]height=2.8[/tex]
Now, we simply plug the numbers into the formula.
[tex]4.2*7*2.8*1/2 = 41.16m^3[/tex]
Step 3: Conclude.
I, therefore, believe the volume of this triangular prism is 41.16 m³.
Line A passes through the points (-3,2) and (-23,54). Line B is parallel to line A and passes through the point (-8,0). Consider
the equation of line B in the form y= a (x + b), where a and b are rational numbers.
Answer:
Line A passes through (-3, 2) and (-23, 54)
slope of line A will be
[tex]m_{A} =\frac{y_{2}-yx_{1} }{x_{2}- x_{1} } = \frac{54-2}{-23+3} = \frac{52}{20}= \frac{13}{5}[/tex]
Equation of line A will be
[tex](y - y_{1}) = m_{A}(x-x_{1} )\\\\(y - 2) = \frac{13}{5}(x -(-3))\\\\(y - 2) = \frac{13}{5}(x +3))\\ \\\\5((y - 2) = 13(x +3))\\\\5y -10 = 13x + 39\\\\5y = 13x + 49[/tex]
Given line B is parallel to line A, So slope of A and B
[tex]m_{A} \cdot m_{B} = 1[/tex]
slope of line B will be
[tex]\frac{13}{5}\cdot m_{B} = 1\\\\m_{B} = \frac{5}{13}[/tex]
Also given line B passes (-8, 0), therefore the equation of line B
[tex](y-y_{B}) = m_{B}(x-x_{B} )\\\\(y - 0) = \frac{5}{13}(x + 8)\\\\y = \frac{5}{13}(x+8)\\\\[/tex]
Therefore,
[tex]a = \frac{5}{13} \ \ and \ b = 8[/tex]
Write and solve using a proportion to find the missing length!!!!
Answer:
k=16/3
Step-by-step explanation:
[tex]\frac{2}{3} =\frac{k}{8}[/tex]
[tex]3k=16[/tex]
[tex]k=\frac{16}{3}[/tex]
Select all values of x that make the inequality true: (x ≥ -1)
A. -4
B. -2
C. -1
D. 0
E. 1
F. 4
Answer:
c,d,e,f
Step-by-step explanation:
mark me brainliest
Select all values of x that make the inequality true: (x ≥ -1)
A. -4
B. -2
C. -1
D. 0
E. 1
F. 4
Answer:
C, D, E, F
Step-by-step explanation:
hope this helps! #HappyCheating
Indicate in standard form the equation of the line passing through the given points.
X(0,6). Y(5,6)
Answer:
y = 6
Step-by-step explanation:
Let the y-intercept form of the equation of the line is,
y = mx + b
Here, m = Slope of the line
b = y-intercept
Slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope of the passing through (0, 6) and (5, 6) will be,
m = [tex]\frac{6-6}{0-5}[/tex]
m = 0
Equation of the line with m = 0 will be,
y = 0 + b
y = b
Since, line passes through (0, 6),
By substituting the values in the equation,
b = 6
Therefore, standard equation of the line passing through (0, 6) and (5, 6) will be,
y = 6
determine the discount between the point(-4,2) and the line 4y=3×+6
Answer:
d = 14/5
Step-by-step explanation:
The point (-4,2) means that;
At x = -4, y = 2
Now general form of a linear equation is;
Ax + By + C = 0
We are given;
4y = 3x + 6
Rearranging to the form of a linear equation gives;
3x - 4y + 6 = 0
Thus, A = 3, B = -4 and C = 6
Thus, at point (-4,2), distance between them is;
d = (3(-4) - 4(2) + 6)/√(3² + (-4)²)
d = -14/5
We will take the absolute value.
Thus; d = 14/5
Use the Distributive property to solve the equations.
Answer:
Follow the steps I did in the explanation.
Step-by-step explanation:
It says to evaluate the equation :-
3.2 = 4/5(b - 5)
3.2 = (4/5 × b) + (4/5 × -5)
3.2 = 4/5b - 4
3.2 + 4 = 4/5b
5/4 × 7.2 = b
9 = b
Hope this helps, thank you :) !!
3.2 = 4/5(b - 5)
3.2 = (4/5 × b) + (4/5 × -5)
3.2 = 4/5b - 4
3.2 + 4 = 4/5b
5/4 × 7.2 = b
9 = b
What is the area of a circle with a radius of 6 inches?
Answer:
[tex]36\pi \: or \: about \: 113.1[/tex]
Step-by-step explanation:
[tex]\pi \: {r}^{2} \ \ \\ \pi \: {6}^{2} \\ 36\pi[/tex]
2/11 + (4/11 + 1/11) = (2/11 + 4/11) + 1/11
Solve with step
Answer:
[tex] \frac{7}{11} = \frac{7}{11} [/tex]
Step-by-step explanation:
[tex] \frac{2}{11} + ( \frac{4}{11} + \frac{1}{11} ) = ( \frac{2}{11} + \frac{4}{11} ) + \frac{1}{11} \\ \frac{2}{11} + \frac{5}{11} = \frac{6}{11} + \frac{1}{11} \\ \frac{7}{11} = \frac{7}{11} \\ [/tex]
A fair die is cast four times. Calculate
the probability of obtaining exactly two
6's.
Round to the nearest tenth of a
percent.
Answer:
0.1319 or 13.2%
Step-by-step explanation:
You can solve this using the binomial probability formula.
The fact that "obtaining at least two 6s" requires you to include cases where you would get three and four 6s as well.
Then, we can set the equation as follows:
P(X≥x) = ∑(k=x to n) C(n k) p^k q^(n-k)
n=4, x=2, k=2
when x=2 (4 2)(1/6)^2(5/6)^4-2 = 0.1157
when x=3 (4 3)(1/6)^3(5/6)^4-3 = 0.0154
when x=4 (4 4)(1/6)^4(5/6)^4-4 = 0.0008
Add them up, and you should get 0.1319 or 13.2% (rounded to the nearest tenth)
What is the volume of the rectangular prism? A prism has a length of 8 inches, width of 2 inches, and height of 12 and one-half inches.
Answer:4
Step-by-step explanation:because 4
7. The ordered pairs ((-1,-9), (5,9). (7.15)) are included in which function?
14
Answer:
C. y=3x-6
Step-by-step explanation:
do this to least to greatest risk how plz someone
Answer:
3,2,4,1,5
Step-by-step explanation:
consider the quadratic equation x^2 + 8x + k = 0 where k is a constant
Answer:
K = 16
Step-by-step explanation: