Answer:
100
Step-by-step explanation:
Given:
Tn = 2n
Where,
n = nth term
what will be its 50th term?
Tn = 2n
T(50) = 2(50)
= 100
T(50) = 100
Therefore,
The 50th term = 100
The class average on a math test was an 82 with a standard deviation of 5. If the
data is normally distributed, which statements are true?
1. A student scoring a 74 would have a z -score of -1.6.
2. About 68% of the students scored below an 87.
3. A z-score of 2.6 would be a test
score of 95.
4. About 16% of the class scored a 77 or below.
45. About 25% of the class scored above a 92.
Answer:
Option 3 and 4.
Step-by-step explanation:
The z score shows by how many standard deviations the raw score is above or below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean, \ \sigma=standard\ deviation[/tex]
Given that mean (μ) = 82, standard deviation (σ) = 5
1) For x = 74:
[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{74-82}{5} =-1.6[/tex]
Option 1 is incorrect
2) For x < 87
[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{87-82}{5} =1[/tex]
From the normal distribution table, P(x < 87) = P(z < 1) = 0.8413 = 84.13%
Option 2 is incorrect
3) For x = 95:
[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{95-82}{5} =2.6[/tex]
Option 3 is correct
4) For x < 77
[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{77-82}{5} =-1[/tex]
From the normal distribution table, P(x < 77) = P(z < -1) = 0.16 = 16%
Option 4 is correct
5) For x > 92
[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{92-82}{5} =2[/tex]
From the normal distribution table, P(x > 92) = P(z > 2) = 1 - P(z < -2) = 1 - 0.9772 = 0.0228 = 2.28%
Option 5 is incorrect
Layla and Bobby are making potholders with their grandmother. They have a total of 1.5 yards of fabric they can use, and it takes one-eighth of a yard to make each potholder. What is the maximum number of potholders they can make?
Find the length of AB. 6 30 AB=[?]in
Answer:
AB ≈ 3.14 in
Step-by-step explanation:
arc AB is calculated as
AB = circumference of circle × fraction of circle
= 2πr × [tex]\frac{30}{360}[/tex]
= 2π × 6 × [tex]\frac{1}{12}[/tex]
= 12π × [tex]\frac{1}{12}[/tex]
= π ≈ 3.14 in ( to the nearest hundredth )
Frank kept track of the amount of money he earned each day for 2 weeks.the amounts,in dollars,are listed below.
25,30,24,20,20,22.5,75,27,27,22,22,27,22.5,28
Find and calculate the measures of center and variability that best summarize frank's data.explain
Answer:
Step-by-step explanation:
Please help!! I will brainlest your right answer please!!! I am stuck very badly!! Please
Answer:
See below.
Step-by-step explanation:
2a. E = 8.25h + 1.2n
2b. E = 8.25 * 3.5 + 1.2 * 10 = $40.88
2c. 8.25 * 8 + 1.2n = 91.2
66 + 1.2n = 91.2
1.2n = 25.2
n = 21 magazines.
Answer:
In picture
Step-by-step explanation:
Please give brainliest if it helped, thanks!
A die has 6 faces numbered 1 to 6.On a single roll of die,find the probability of not getting the number 6
Step-by-step explanation:
probability of not getting six=5/6
is your answer
12% of 4 meters ( in cm)
Answer:
48 cm
Step-by-step explanation:
percent x meters x centimeters in meters
.12 x 4 x 100
Answer:
48 cm
Step-by-step explanation:
12/100 * 4 = 48 meters
1 meter = 100 cm
0.48 m = x Cross Multiply
1*x = 0.48 * 100
x = 48 cm
Customers can pick their own cherries at cherry hill. they pay $4 to enter the farm and $3.50 per pound for the cherries they pick. write an equation to model the total cost, y, for x pounds of cherries
Answer:
The Equation would be $4 + $3.50x = y
Step-by-step explanation:
Arrange these numbers in order of size starting with the smallest: 0.7, 0.1015, 0.715, 0.11
Answer:
0.1015, 0.11, 0.7, 0.715
sometimes we can determine the number of solutions that a system of equations has by simply observing and drawing conclusions from the equations. this is called
Answer:
observations and quadratic formula
What is the solution of the equation 0.2x = 10?
Select one:
x=2
Ο α = 100
2= 20
x = 50
Answer:
x = 50
Step-by-step explanation:
0.2x = 10
Divide each side by .2
0.2x/.2 = 10/.2
x =50
Answer:
Step-by-step explanation:
x=50
0.2 x 50 = 10
Solving right triangles
Answer:
i can see the actual question, what is it?
In right triangles one of the angles will always be 90 degrees.
So if you had a right triangle with one right angle, a number, and a number, they always have to add up to 90 degrees as well, because a triangle is always 180 degrees
so
side a = 90side b = xside c = yx + y = 90x + y + 90 = 180HURRYYYY. which linear inequality is represented by the graph?
Answer:
C
Step-by-step explanation:
i did this in 6th grade too man i gotchu
Pls help :(
(It’s math)
Solve the system of equations
Answer:
(3,5)
Step-by-step explanation:
For this equation, you need to solve it like simultaneous equations. Both of these have a 4y, so that is relatively easy to do, once you know how to.
The signs in front of the 4y are different, so you add the 2 equations (to remove the ys all together).
This should be (2x+-8x)+(-4y+4y)=(-14+-4), or (2x-8x)+(4y-4y)=(-14-4).
This can be expanded to -6x+0=-18, or -6x=-18.
Dividing both sides by -6 leaves you with x=3.
To find y, substitute this x value into either equation (I picked equation 1 as it is simpler). This gives you 2(3)-4y=-14, expanded to 6-4y=-14.
From there, you subtract the 6 from both sides, to get the y alone (giving -4y=-20).
By dividing both sides by -4, you get y=5.
This means the answer is (3,5).
**This question involves simultaneous equations, so you might want to look at that. I'm always happy to help!
Please help, giving Brainliest and 50 points!
Answer:
5^8
Step-by-step explanation:
Hey,
Know out exponent division propety knowledge. We can solve.
5^12/5^4 = 5^12-4=5^8
Hope this helped,
Joe Louis2
Answer:
5^8
Step-by-step explanation:
We know that a^b ÷ a^ c = a^ ( b-c)
5^12 ÷ 5^4 = 5^ (12-4) = 5^8
Select 3 side lengths that can form a right triangle.
Answer:
(16,63,65)
Step-by-step explanation:
Well, by trial and error, it turns out that 16²+63² = 65²
So the pythagorean triplet is (16,63,65)
I will give BRAINLIEST to the correct answer
Find the measure of
Answer:
8p+102+4p+60 =90
12p+162-162 =90-162
12p. =-72
p =(-6)
CHT=8p+102
={8×(-6) }+102
=(-48)+102
=54
Use the formula w = to find the value of the missing variable.
T
radians. w
radian per min
Answer:
Step-by-step explanation:
Carly is buying deli meat for her lunches this week. Turkey is on sale for $5.80 per pound. If Carly buys 1.25 pounds of turkey, how much money does she spend?
Answer:
Carly will have to spend $7.25
Step-by-step explanation:
We know that:
1 pound of turkey = $5.80
To find how much 1.25 pounds of turkey will cost, multiply:
5.80 x 1.25 = 7.25
Therefore, 1.25 pounds of turkey will cost $7.25
I really hope this helps!
-SpaceMarsh
I need help what’s the answers
Answer:
Quadratic
Step-by-step explanation:
The format for a quadratic function is: y= ax^2+bx+c.
This matches your equation.
Which triangles are congruent by ASA?
A). ABE= DEA
B) ADC=EBC
C) ADC=EDA
D) ABE=CDA
Please help?!!!
Answer:
c
Step-by-step explanation:
8.
Find the slope of the in line containing the ordered pairs. (7 marks)
a. A(2,-5), B(-2,6)
Answer:
= -11/4
Step-by-step explanation:
To find the slope given two points
m = ( y2-y1)/(x2-x1)
= (6 - -5)/(-2 -2)
= (6+5)/(-2-2)
= 11/-4
= -11/4
Answer:
-2.75 (-2 3/4)
Step-by-step explanation:
you can do rise of a run whenever you have two points so you have 6-(-5)/-2-2 and solve so -11/4 and that equals -2.75.
Help me as quick as possible
11x+4y=12
9x-4y=8
Solve it with elimination method
Answer:
x = 1, y = 1/4
Step-by-step explanation:
[tex]11x + 4 y = 12 \ \ \ ---( 1)\\9x -4y = 8 \ \ \ - - - (2)\\\\(1) + ( 2 ) => 20x + 0 = 20\\\\[/tex]
[tex]=> x = 1[/tex]
Substitute x = 1 in ( 1 ) :
[tex]11 + 4y = 12\\4y = 12 - 11\\\\y =\frac{1}{4}[/tex]
Two circles have a scale factor of 3:2. What is the ratio of the circumferences of these circles?
A. 12:26
B. 13:12
C. 9:4
D. 3:2
Answer:
3:2
Step-by-step explanation:
The circumference is a distance. The ratio of the distance is the same as the scale factor. The ratio of the areas is the ratio of the scale factor squared and the volume is the scale factor cubed.
what does the challenges do?
Answer:
question that must be answered in a given time for a lot of points
Answer:
so if you do them the percentages will increase and you will get points so gou can ask questions i did one and spent all 100 just for someone to translate im s-t-u-p-i-d and then i commented no youre not
find the area of a circle if x=12 and y=3
Answer:
12.3693169
Step-by-step explanation:
x^2+y^2=r^2
(12)^2=(3)^2=sqroot(153)
=12.3693169
At the dress shop, Sherry is building buttons into packages. She has reached the 867 th button and is packing the 34 th package when she is asked to take her lunch break . She needs to note the number of buttons that are in the package so when she returned she will continue she will continue . How many buttons does package 34 contain? dont send in file explain plz
Answer:
9 buttons in package 34
Step-by-step explanation:
There are 26 buttons in each box.
26 * 33 = 858 for the first 33 full boxes
867 - 858 = 9 buttons in the 34th box
B = buttons per box
33*B<867 --> B < 26.27
34*B>867 --> B > 25.5
So 25.5 < B < 26.27, therefore B = 26 buttons per box
Circle D is inscribed in AABC as shown.
Point E marks the intersection of the two
shapes. Which of the following statements are
true?
Statement I: DE is the radius of the
inscribed circle.
Statement II: DE is perpendicular to AC.
Statement III: Point D is equidistant from
vertices A, B, and C.
Answer:
statement 1 and 2 are true
may I please have help from anyone thank you so much !
HELP ASAP PLEASEE
I WILL MARK BRAINLIST
