Answer:
a. 228- 6th, 489- 17th, 524- 28th, 597- 39th, 623- 50th, 659- 61th, 736- 72th, 777- 83th, 804- 94th
b. 597
Step-by-step explanation:
arrange the data:
228, 489, 524, 597, 623, 659, 736, 777, 804
a. percentile = ((number of items below position + 0.5)/ number of items ) 100
for 228 = (0+0.5/ 9) 100 = 6th
for 489 = (1+0.5/ 9) 100 = 17th
for 524 = (2+0.5/ 9) 100 = 28th
for 597 = (3+0.5/ 9) 100 = 39th
for 623 = (4+0.5/ 9) 100 = 50th
for 659 = (5+0.5/ 9) 100 = 61th
for 736 = (6+0.5/ 9) 100 = 72th
for 777 = (7+0.5/ 9) 100 = 83th
for 804 = (8+0.5/ 9) 100 = 94th
b. The corresponding value for the 40th = number of item( percentile)/ 100
= 9( 40) / 100 = 3.6 approximately 4th which is 597
3x – 5 =-10
6. To solve the equation in the box for the
value of x, Michele started by adding 5 to both
sides. To get the correct answer, what must
Michele do next?
A divide both sides by 10
B. divide both sides by 3
C. multiply both sides by 10
D. multiply both sides by 3
After adding 5 to both sides what did Michele get? Let's see
[tex]3x-5 + 5 = -10 + 5\\3x= -5[/tex]
If she wants to find the value of [tex]x[/tex] then she needs to have only the variable [tex]x[/tex] on the left hand side. What she must do so that [tex]3x[/tex] becomes just [tex]x[/tex]? What do you have to do to the number 3 so it becomes a 1? That's right, she must divide by 3!
So, after dividing both sides by 3:
[tex]\frac{3x}{3} = \frac{-10}{3} \\\\\boxed{x=\frac{-10}{3}}[/tex]
Thus, the correct answer is letter B
What is the solution to the equation 4(b - 2) - 10 = 2b + 6 A ) b = 4 B) b = 3.3 C) b = 7.5 D b = 12
Lifetimes of AAA batteries are approximately normally distributed. A manufacturer wants to estimate the standard deviation of the lifetimes of the AAA batteries it produces. A random sample of 23 batteries produced by the manufacturer lasted a mean of 10.3 hours with a standard deviation of 2.4 hours. Find a 95% confidence interval for the population standard deviation of the lifetimes of the batteries produced by the manufacturer.
Answer:
95% confidence interval for the population standard deviation of the lifetimes of the batteries produced by the manufacturer.
(8.889, 11.7106)
Step-by-step explanation:
Step(i):-
Given sample size 'n' = 23
Mean of the sample x⁻ = 10.3
Standard deviation of the sample (s) = 2.4
Level of significance = 0.05
Degrees of freedom = n-1 = 23-1 =22
Step(ii):-
95% confidence interval for the population standard deviation of the lifetimes of the batteries produced by the manufacturer.
[tex](x^{-} - t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} } , x^{-} +t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} } )[/tex]
[tex](10.3 - t_{\frac{0.05}{2} } \frac{2.4}{\sqrt{23} } , 10.3 +t_{\frac{0.05}{2} } \frac{2.4}{\sqrt{23} } )[/tex]
(10.3 - 2.8188 (0.50043) , 10.3 + 2.8188(0.50043)
(10.3-1.4106 , 10.3+1.4106)
(8.889, 11.7106)
final answer:-
95% confidence interval for the population standard deviation of the lifetimes of the batteries produced by the manufacturer.
(8.889, 11.7106)
what is the sum of the interior angles of a 28-gon?
s = (n-2) 180
Answer:
1,00090
Step-by-step explanation:
The radius of the sphere is 9 inches. Which equation can be used to find the surface area of the sphere?
Answer:
Option (2)
Step-by-step explanation:
Formula to get the surface area of a sphere is,
Surface area = 4πr²
Here 'r' = Radius of the sphere
We have to calculate the surface area of a sphere with radius r = 9 inches.
By substituting the value of r in the formula,
S = 4π(9)²
Therefore, Option (2) will be the correct option.
Answer:
B. S = 4 pi r squared = 4 pi (9) squared
what’s the answer to this problem? ASAP
HELP ASAP! I WILL GIVE 20 POINTS AND MARK AS BRAINLIEST!
Answer:
p=3m
Step-by-step explanation:
11. IF PORS is a parallelogram, find the values of x and y.
11. X
y
(10y - 7
Answer:
x = 4 and y = 15
Step-by-step explanation:
Opposite sides of parallelogram are equal
Opposite sides of parallelogram are equaltherefore,
13x + 15 = 19x - 9
15or 15 + 9 = 19x - 13x
or 24 = 6x
or 24÷6 = X = 4
adjacent angles = 180°
therefore,
(10y - 37) + (4y + 7) = 180
or 10y - 37 + 4y + 7 = 180
or 14y = 180 + 37 - 7
or 14y = 210
or y = 210 ÷ 14
or. y = 15
plz help it's due till 12.06
Answer:
4
Step-by-step explanation:
the different planes are either negitive or positive. since one goes to positive and negative, for example, 5 is greater that -9.
Now I need thissss pls
Line segment W Y is an altitude in triangle WXZ.
Triangle W X Z is shown. An altitude is drawn from point W to point Y on side Z X, forming a right angle. Angles Z W Y and W X Y are congruent.
If ΔYWZ ~ ΔYXW, what is true about AngleXWZ?
AngleXWZ is an obtuse angle.
AngleXWZ is a right angle.
AngleXWZ is congruent to AngleWXY.
AngleXWZ is congruent to AngleXZW.
Answer:
∠ XWZ is a right angle.
Step-by-step explanation:
See the given diagram.
In triangle WXZ, WY is an altitude.
So, ∠ WYZ = ∠ XYW = 90°
Now, given that ∠ ZWY = ∠ WXY.
Now, from Δ XYW, since, ∠ XYW = 90° so, ∠ WXY + ∠ YWX = 90° ....... (1)
⇒ ∠ ZWY + ∠ YWX = 90° {Since, ∠ ZWY = ∠ WXY}
⇒ ∠ XWZ = 90°
Therefore, the angle XWZ is right angle. (Answer)
Answer:
B. XWZ is a right angle
Step-by-step explanation:
edge 2020 plz vote brainliest
Help please! This has to do with the Pythagorean theorem.
Answer: It's 11.5
Explanation ( took so long)
[tex]C = \sqrt{a^{2} + b^{2} }\\14 = \sqrt{8^{2} + b^{2} }\\14 = \sqrt{64 + b^{2} }\\14^{2} = 64 + b^{2} \\196 = 64 + b^{2} \\64 +b^{2} = 196\\b^{2} = 196 - 64\\b^{2} =132\\b = \sqrt{132} \\b = 11.48[/tex]
Brainliest if answer
Answer:
a. 3:4
b. 1:1.3
Identify the type of sequence shown and select the appropriate response.
4, 24, 144, 864, ...
A) Geometric sequence, common ratio is 6
B) Geometric sequence, common ratio is 20
C) Arithmetic sequence, common difference is 6
D) Arithmetic sequence, common difference is 20
Answer:
the answer is A
Step-by-step explanation:
if you multiple 6 to 4 you get 24. if you multiple 24 to 6 you get 144. if you multiple 144 to 6 you get 864.
Carissa has a fish tank that can hold up to 50 gallons of water but it is leaking at a constant rate. When Carissa first notices the leak, the tank has 40 gallons of water. Two hours later the tank has 30 gallons. At what rate is the water leaking? Use a signed number, and include the unit of measurement in your answer.
Answer:
for every 2 hour 10 gallons leak out
Step-by-step explanation:
At Nick's school, 25% of the 72 sixth-grade students wear either glasses or contact lenses. How many sixth-grade students wear either glasses or contact lenses?
Answer:
18 kids
Step-by-step explanation:
72 x .25
18 is 25% or 72
Amanda opened a lemonade stand on her street. It costs her $10.75 to buy the supplies each day, and she sells lemonade for $1.50 a cup. If she wants to make at least $50.00 in profits (sales - expenses) each day, what is the minimum number of cups of lemonade Amanda needs to sell? Input your answer as a whole number.
Answer:
41
Step-by-step explanation:
i rounded the 40.5 to 41.
Student tickets cost $6.25 each at a local movie theater. Which proportion could be used to find the number of student tickets, t, that could be purchased with a $25 gift card?
Answer:
4
Step-by-step explanation:
bc I got jt right
what is √ − 3 ⋅ √ − 27 =
We are given the expression:
√-3 * √-27
__________________________________________________________
Explaining the concept:
We know that:
√ab = √a * √b
Using this concept, we will simplify the given expression and solve it
__________________________________________________________
Simplifying the expression:
√-3 * √-27
√(-1*3) * √[(-1)*(3)(3)(3)]
√-1 * √3 * √-1 * √3 * √3 * √3
(√-1 * √-1) * (√3 * √3 * √3 * √3)
(√-1)² * (√3)² * (√3)²
-1 * 3 * 3
-9
Hence, after simplifying the given expression, we get -9
Need help Pronto! Will give braintliest.
Answer:
b
Step-by-step explanation:
explain how to find 45% of a number
A-multiply the number by 0.45.
B-Divide the number by 4.5.
C-Divide the number by 45.
D-multiply the number by 4.5.
A company took a survey about its new product.Of the 5,000 people surveyed, 36% liked the new product.How many people liked the new product?
whats the answer
Step-by-step explanation:
2х + y = 4
у = 3х – 1
its 2 because 2plus is 2
3 pounds of bannas cost $1.5 What is the costant of this proportionly that relates the cost in dollars y,to the number of pounds of bannas X
Answer:
.50 cents per pound
Step-by-step explanation:
Solve for m
b= 1/2mv
Answer: m = 2b/v
Step-by-step explanation:
2 (t + 1) = 10
SOLVE FOR T
Pls help I will mark
Answer:
C
Step-by-step explanation:
The sum of the measures of the interior angles of a polygon is known to be
between 2100 and 2200. How many sides does the polygon have?
Answer: 5 sides
Step-by-step explanation:
HELP PLEASE!! Two lines are drawn in the same plane.
Under what condition are the lines
perpendicular?
A two lines that never intersect
B. two lines that intersect and form right angles
C. two lines that intersect and form acute angles
D. two lines that intersect at more than one point
Answer:it is c or b
Step-by-step explanation:
The condition for the lines to be perpendicular will be two lines that intersect and form right angles. Then the correct option is B.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Two lines are drawn in the same plane.
If the two lines intersect then the angle between the line is 90 degrees.
The condition for the lines to be perpendicular will be two lines that intersect and form right angles.
Then the correct option is B.
The graph is given below.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ5
Each tire on a toy car has a diameter of 5.6 cm. the tires spun completely around 15 times when the car was pushed in a straight line.about how far was the car pushed
Answer:
I believe the answer is 84 centimeters.
Step-by-step explanation:
If the wheel is 5.6 centimeters in diameter, the car is traveling 5.6 centimeters per spin of the wheels. Therefore, you do the equation, 5.6 * 15 and get 84.
