Answer:
Yes, the data provides sufficient evidence at 0.05 level of significance
Step-by-step explanation:
n = 25
s = 8
σ = 15
χ² = (n - 1)s² / σ²
χ² = (25 - 1)*8² / 15²
χ² = (24 * 64) / 225
χ² = 6.827
The critical value at 0.05 ; df = 25 - 1 = 24
12.4012 and 39.3641
Reject H0 if χ² < 12.4012 or if χ² > 39.3641
Since,
χ² < 12.4012 ; We reject H0 ;
Given an arithmetic sequence described by the formula a= -2(n - 1) + 7 find a^28
Answer:
-47
Step-by-step explanation:
Given the arithmetic sequence described by the formula;
a= -2(n - 1) + 7
To get a28, we will substitute n = 28 into the expression
a28 = -2(28-1)+7
a28 = -2(27)+7
a28 = -54+7
a28 = -47
Hence a28 is -47
Bobby scores m marks in a test
A. Dan scores two marks less than Bobby. write down an expression for Dan's marks in terms of m
Answer: M-2 or M substracted by 2
Step-by-step explanation:
The graph shows the amount of money in Craig's savings account cover a period of 20 months. What is the average amount of increase per month in Craig's savings account between months 5 and 10
Answer:
D. $350
Step-by-step explanation:
On the 5th month, he has $500, on the 10th month, he has $850. Subtract $500 from $850 to get the average on $350
Answer:
should be about 350 I think I did this problem before sooo
Step-by-step explanation:
I'm not good at explaining
PLZ HELP!!!
if p = -1,-1 find the image of p under the following rotation 270 counterclockwise
Answer: -1, 1
Step-by-step explanation:
The other answer is valid.
plz help ill give brainliest and dont put links or else im going to report you
Answer:*putting link*
Step-by-step explanation:
Answer:
I think it is 256.
Step-by-step explanation:
32 x 8 = 256
Hope this helps!!!:)
please help me answer the question
find the slope (3,-6)(-1,4)
Answer:
slope is -5\2
Step-by-step explanation:
use the point point slope formula
Can u solve i will give Brainiest plz need it urgently
help please I’ll mark brainliest
Answer:
a. east
b. 60 feet per second
Step-by-step explanation:
did this a while ago.
a. -180 is east, 120 is east. the car is traveling east because it is moving positive. read the last sentence of the description.
b. to calculate velocity you do time times position. in this case position is 60 and time is 1 so 60*1 is 60. so it is 60 feet per second.
can i have help please i don't know the answer
Answer: 1.75=5n
Step-by-step explanation:
1.75 is being divided by n 5 times
Solve the following system of equations graphically on the set of axes below. Y=-1/2x +1 and y=x-5
Answer:
-1/2x+1=x-5
x=4
y=-4/2+1
y=-2+1
y=-1
(x,y)=(4,-1)
Please help! I will give brainliest to the first correct answer!
Answer:
Step-by-step explanation:
The ratio of boys to girls is 2 to 3. If there are 90 students in the band, how many of them are boys?
Answer:
36
Step-by-step explanation:
We can make an algebric equation.
2x+3x=90
5x=90
x=18
Since we wanna find the boys, we multiply the boys ratio with our x value.
2x=2•18=36 boys
Pls, help me with this math question
Answer:
Perimeter [tex]\sqrt{26}+\sqrt{5}+\sqrt{10}+\sqrt{17}[/tex] units. Area 12 square units.
Step-by-step explanation:
Perimeter: total distance around the figure.
Distance Formula: the distance between points [tex]\left(x_1,y_1\right) \text{ and } \left(x_2,y_2\right)[/tex] is
[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
[tex]AB=\sqrt{(6-1)^2+(2-1)^2}=\sqrt{25+1}=\sqrt{26}[/tex]
[tex]BC=\sqrt{(5-6)^2+(4-2)^2}=\sqrt{1+4}=\sqrt{5}[/tex][tex]CD=\sqrt{(2-5)^2+(5-4)^2}=\sqrt{9+1}=\sqrt{10}[/tex][tex]DA=\sqrt{(1-2)^2+(1-5)^2}=\sqrt{1+16}=\sqrt{17}[/tex]
The perimeter is the sum of all those segment lengths.
One way to find the area of the figure is to surround it with a rectangle, insert some lines so that the areas you do not want can be found and subtracted from the rectangle's area. (See attached image.)
The area of the large rectangle around the figure is 5 x 4 = 20 square units.
The triangles have areas 1/2 (base) (height):
A. (1/2)(1)(4) = 2 square units
B. (1/2)(3)(1) = 1.5 square units
D. (1/2)(1)(2) = 1 square unit
E. (1/2)(5)(1) = 2.5 square units
Square C. (1)(1) = 1 square unit
Total of all the area you don't want to include:
2 + 1.5 + 1 + 2.5 + 1 = 8 square units
Subtract 8 from the surrounding rectangle's area of 20, and you get the area of the figure is 20 - 8 = 12 square units.
A sign on the road says " Speed limit, 60 miles per hour. Let s be the speed of car.Write an inequality that matches the information on the sign
Answer: s ≤ 60
Step-by-step explanation:
The common inequality signs include:
> which is greater than
< which is less than
= which is equal to
≥ which is greater than or equal to
≤ which is less than or equal to
Since the speed limit is 60 miles per hour, it simply means that the speed limit is less than or equal to 60 miles per hour. This will be:
s ≤ 60
The above means the speed is less than or equal to 60 miles per hour
If a rectangle has its length 8cm and breadth 6cm find length of diagonal
Answer:
the length of the diagonal is 10cm
Step-by-step explanation:
C²=8²+6²
C²= 64+36
C²=100
√C²=√100
C=10cm
(7x+4) (5x-16) (6y-4) find the value of x and y.
Answer:
hgggggggggggggggggggggggggggggggggjkghjgjkkkkkkkkkkkkkkkkkkkkkkkkkkkkk
Step-by-step explanation:
If your initial principal is $243 and your principal in 2 years is $1,359.19, how much interest did you earn?
Answer: $1,116.19
Step-by-step explanation:
If you invested $243 and this increased to $1,359.19 in two years, the difference between your investment and its current worth is the interest:
= Current principal - Initial principal
= 1,359.19 - 243
= $1,116.19
Please I need help ASAP! I don't know any of the answers. For the second question, I accidentally clicked on it.
4x = 2(x-5)-2 can you solve please
Answer:
x = -6
Step-by-step explanation:
4x = 2(x-5)-2
2 * x = 2x
2*-5 = -10
4x = 2x - 10 -2
4x = 2x - 12
4x - 2x = 2x
2x = -12
-12/2 = -6
x = -6
HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
please help ASAP! (18 points! Thanks in advanced!)
5/8 + 3/4 divided by -2/3 - 5/6
Answer:
11/12
Step-by-step explanation:
the radius of the circle is 9 meters what is the circles circumfrence
Answer:
c = 18π exact answer
c = 56.52 decimal approximation
Step-by-step explanation:
c = 2πr
c = 2π * 9
c = 18π exact answer
Using 3.14 for π
c = 18 * 3.14
c = 56.52 decimal approximation
How many reflectional symmetries does this figure have?
Enter your answer in the box.
_ reflectional symmetries
How many rational symmetries does this figure have?
Enter your answer in the box.
_ rotational symmetries
Answer:
1 & 1
Step-by-step explanation:
A group of 3 friends are splitting fruit salad at a picnic. If each person gets 11 pieces, how many total pieces of fruit are there?
Answer:
33 Pieces total
Step-by-step explanation:
The graph of the equation y = 4x + 8 is shown. Which TWO statements are correct?
es )
A)
The coordinate pair (0, 10) represents a point on the graph and a solution
to the equation.
B)
The coordinate pair (-1, 4) represents a point on the graph and a solution
to the equation.
0
The coordinate pair (-2, 1) represents a point on the graph and a solution
to the equation.
D)
The coordinate pair (-3, 2) represents a point on the graph and a solution
to the equation
E)
The coordinate pair (-4,-8) represents a point on the graph and a solution
to the equation.
The correct statements are:
- The coordinate pair (-2, 1) represents a point on the graph and a solution to the equation.
-The coordinate pair (-4, -8) represents a point on the graph and a solution to the equation.
Options C and E are the correct answer.
We have,
The equation y = 4x + 8 represents a linear relationship between x and y.
To determine which statements are correct, we need to substitute the x-coordinate of each given coordinate pair into the equation and see if it satisfies the equation.
A) The coordinate pair (0, 10)
Substituting x = 0 into the equation: y = 4(0) + 8 = 8
So, (0, 10) does not satisfy the equation.
Statement A is incorrect.
B) The coordinate pair (-1, 4)
Substituting x = -1 into the equation: y = 4(-1) + 8 = 4 + 8 = 12
So, (−1, 4) does not satisfy the equation.
Statement B is incorrect.
C) The coordinate pair (-2, 1)
Substituting x = -2 into the equation: y = 4(-2) + 8 = -8 + 8 = 0
So, (−2, 1) does satisfy the equation.
Statement C is correct.
D) The coordinate pair (-3, 2)
Substituting x = -3 into the equation: y = 4(-3) + 8 = -12 + 8 = -4
So, (−3, 2) does not satisfy the equation.
Statement D is incorrect.
E) The coordinate pair (-4, -8)
Substituting x = -4 into the equation: y = 4(-4) + 8 = -16 + 8 = -8
So, (−4, -8) does satisfy the equation.
Statement E is correct.
Therefore,
The correct statements are:
- The coordinate pair (-2, 1) represents a point on the graph and a solution to the equation.
-The coordinate pair (-4, -8) represents a point on the graph and a solution to the equation.
Learn more about coordinates here:
https://brainly.com/question/13118993
#SPJ6
HELP!!!! YOU GET 70 POINTS!!!! AND BRAINLIEST!!!!!
The area of the base of a right square pyramid is multiplied by 5, but the height is unchanged. What is the volume of the new pyramid divided by the volume of the original pyramid?
A. 5
B. 25
C. 125
D. 225
A). 5
Step-by-step explanation:I took the test :>
Answer:
A
Step-by-step explanation:
I took the quiz on EDGE 2022.
Several different cheeses are for sale. The cheese comes in wedges shaped like sectors of a circle. All of the wedges are the same height.
Mai bought a wedge with a central angle of 60 degrees and radius 8 centimeters. What is the area of the top surface of this wedge? Leave your answer in terms of pi.
Explain or show how you got your answer.
Answer:
1/3 x 8^2×pi(3.14)
Step-by-step explanation:
1/3 × 64 × 3.14
[tex]21 \frac{1}{3} \pi[/tex]
what is 1/9 x 3 thanks
Answer:
it is 1/3
Step-by-step explanation:
also you can type (1/9)x3 into g o o g l e
pls mark brainliest (it is the crown)
Answer:
1/3
Step-by-step explanation:
3/9 = 1/3
have a great day!
4 2/3 divided by 1/2 = what plsssss helppp
Answer:
8.66
Step-by-step explanation:
Answer:
28/3
Step-by-step explanation:
Dividing a fraction is the same as multiplying it by the reciprocal.
First, convert 4 and 2/3 to an improper fraction.
You get 14/3. Multiply that by the reciprocal of 1/2 (2/1) to get your answer.
14/3 * 2/1 = 28/3