The normal distribution is also known as the Gaussian distribution. The mean of this test is 37.
What is Normal Distribution?The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean. The normal distribution will show as a bell curve on a graph.
On a test that has a normal distribution, a score of 29 falls two standard deviations below the mean, and a score of 49 falls three standard deviations above the mean. Therefore, we can write,
μ - 2σ = 29
μ + 3σ = 49
By subtracting the first equation from the second, then we will get,
μ + 3σ - μ + 2σ = 49-29
5σ = 20
σ = 4
Now, substitute the value of σ in the equation,
μ - 2σ = 29
μ - 2(4) = 29
μ = 29 + 8
μ = 37
Hence, the mean of this test is 37.
Learn more about Normal Distribution:
https://brainly.com/question/15103234
#SPJ1
The length of AB is four times the length of BC.
AC = 75 cm.
=
Help with this question please
Answer:
See below
Step-by-step explanation:
(a)
[tex]\angle A\cong \boxed{\angle Z}[/tex][tex]\angle B\cong \boxed{\angle Y}[/tex][tex]\angle C\cong \boxed{\angle X}[/tex](b)
[tex]\overline{AB}\cong \boxed{\overline{ZY}}[/tex][tex]\overline{AC}\cong \boxed{\overline{ZX}}[/tex][tex]\overline{BC}\cong \boxed{\overline{YX}}[/tex](c)
[tex]\triangle CAB \cong \triangle \boxed{XZY}[/tex]need help with this one geometry problem asap
Answer:
Step-by-step explanation:
pls help with this question asap
Answer:
30 ft
Step-by-step explanation:
Perimeter
= 3 + 4 + 4 + 7 + 4 + 4 + 4
= 30 ft.
PLEASE HELP SUPER EASY bottom question please!!
Answers:
The histogram is shown below.7/10 of the class passed the assignment.============================================================
Explanation:
Part 1
Sort the data values to get
51, 54, 58, 60, 60, 62, 70, 72, 72, 75, 76, 80, 85, 88, 90, 90, 95, 100, 100, 100
Now let's say we had these intervals
51-6061-7071-8081-9091-100Notice each interval is 9 units wide.
The 5 scores 51,54,58,60,60 are in the interval 51-60, which means the first interval has a bar that's 5 units tall.
The scores 62,70 are in the interval 61-70, which means the second bar is 2 units high.
Keep this process going to create the histogram shown below.
It looks like you have the right idea, but your class interval widths aren't the same each time.
Because the class interval widths can change, this means other histograms are possible. Just be sure to stick to one interval width.
-----------------------------------
Part 2
Set A = set of scores that are 70 or larger, i.e. those who passed
Set A = {70, 72, 72, 75, 76, 80, 85, 88, 90, 90, 95, 100, 100, 100}
Set B = set of all scores in the class
Set B = {51, 54, 58, 60, 60, 62, 70, 72, 72, 75, 76, 80, 85, 88, 90, 90, 95, 100, 100, 100}
There are 14 items in set A and 20 in set B
This means 14/20 = 7/10 of the students passed.
please answer asap! 20 points!!
A new car is purchased for 23,900 dollars. The value of the car depreciates at a rate of 6.4% per year. Which equation represents the value of the car after 4 years?
1) V= 23,900(0.936)(0.936)(0.936)(0.936)
2) V=23,900(1+0.064)⁴
3) V= 23,900(1−0.064)(1−0.064)
4) V= 23,900(0.064)⁴
Answer:
1) V= 23,900(0.936)(0.936)(0.936)(0.936)
Step-by-step explanation:
Each year, the car depreciates to 1 -0.064 = 0.936 of its previous value. After 4 years, the original value has been multiplied by this factor 4 times:
__
depreciated value = 23,900(0.936)(0.936)(0.936)(0.936)
_____
This could be represented by ...
V = 23,900(1 -0.064)⁴ . . . . . . not an answer choice
Write in scientific notation:
0,007 832
Answer:
The scientific notation for this will be
[tex]7.832 \times {10}^{ - 3} [/tex]
As there are three zero in expression
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASEHelp please lol???????
Tim tried to use Cavalieri's principle to show that the two figures have the same volume.
"The base areas are the same. Therefore, corresponding cross-sections have the same area. So the volumes must be the same."
What is the first mistake Tim made?
Answer:
The base areas aren't same
Step-by-step explanation:
The base areas arent same
Answer:
He did not establish that heights are the same.
Someone help me find the length of ST please!
Answer:
10
Step-by-step explanation:
I calculated and it's 10 I'm in car so I can't give the whole explanation
5a+3-4a²+2a³ sandard form
Solve 6^x+2 = 10 for x using the change of base formula
Answer:
[tex]x\approx-0.7149[/tex]
Step-by-step explanation:
[tex]\displaystyle 6^{x+2}=10\\\\\log_6(6^{x+2})=\log_6(10)\\\\x+2=\frac{\log(10)}{\log(6)}\\\\x+2\approx1.2851\\\\x\approx-0.7149[/tex]
Recall that the change of base formula is [tex]\displaystyle \log_a(b)=\frac{\log(b)}{\log(a)}[/tex]
A can has a height of 11cm and a volume of 486cm^3 . Find the radius of each can . Correct to two decimal places
If the height is 11 cm and the volume is486 cubic cm. Then the radius of the can will be 3.75 cm.
What is a cylinder?A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.
A can has a height of 11 cm and a volume of 486 cubic cm.
Then the radius of the can will be
We know that the volume is given as
Volume = πr²h
486 = π r² x 11
r² = 14.06
r = 3.75 cm
More about the cylinder link is given below.
https://brainly.com/question/3692256
#SPJ1
Amelia's car used 16 gallons to travel 656 miles. How many gallons of gas would she need to travel 533 miles?
Answer:
13 gallons of gas.
Step-by-step explanation:
If amelia used 16 gallons of gas for 656 miles, she is traveling 41 miles per gallon. (656 divided by 16). So we take the amount she needs to travel which is 533, and divide it by 41 because 41 miles is equal to one pound of gas, so, 533 divided by 41 is 13, she needs 13 gallons of gas to travel 533 miles.
Leah bought a bicycle for $118 that was originally priced at $472. What is the discount
percentage?
Write your answer using a percent sign (%).
Answer:
75%Step-by-step explanation:
the discount percentage :
[tex]\frac{472-118}{472} \times100 = 75 \%[/tex]
The percentage decrease ( discount percentage ).
Solution:[tex]\large\boxed{\sf{formula = 100 \times \frac{(final - initial)}{initial} }}[/tex]
We'll have to subtract 472 ( initial value ) from 118 ( final value).
[tex]472 - 118[/tex]
[tex] = 354[/tex]
Now, we'll have to divide 354 ( difference ) by 118 ( initial value ) and multiply by 100.
[tex] 100 \times \frac{354}{118} [/tex]
[tex]\large\boxed{\sf{ = 75\% }}[/tex]
Hence, the discount percentage is 75.
NEED HELP ASAP 50 POINTS PLEASE ANSWER CORRECTLY!!!! I have 3 round stock tanks. I want to use the one with the largest volume in my cow- calf pasture. (That's where my cows that are having calves are held.) I want to use the one with the smallest volume in the corrals with the horses. It is easier to fill it when necessary. I don't mind running the hose on it everyday. I want to use the tank with the mid-sized volume in my bull pasture. I have 15 bulls for sale. I have people come by everyday so the number of animals in that pasture will go down. Please match the correct tank with the correct pasture. Mid-Sized tank. Bull Pasture 1. Tank 1: 3' tall, 10' diameter Smallest Tank. Horse/Corral Tank 2. Tank 2: 2' tall, 12' diameter + 3. Tank 3: 1.5' tall, 15' diameter Largest Tank. Cow-Calf Pasture Question 20 (10 points)
Answer:
Largest: 3
Smallest: 2
Mid-Sized: 1
Step-by-step explanation:
A right circular cone has a base radius of 4 and a height of 6. A right circular cylinder also has a base radius of 4 and a height of 6. Let A be the lateral surface area of the cone, and let B be the lateral surface area of the cylinder. Find A/B.
Answer:
A/B = 0.6Step-by-step explanation:
Given dimensions of
Right circular cone: r = 4 and h = 6Right circular cylinder: r = 4 and h = 6Find the lateral surface area of both figures
The cone[tex]A= \pi r\sqrt{h^2+r^2}=3.14*4\sqrt{6^2+4^2}= 90.57[/tex]The cylinder[tex]B=2\pi rh=2*3.14*4*6 = 150.72[/tex]Find the ratio A/B
A/B = 90.57/150.72 = 0.6 (rounded0
3 + 4ab - 5b + m
Number of terms:
Coefficients:
Constant terms:
Answer:
Number of terms = 4 (there are four terms)
coefficients = the coefficient of ab = 4
✓✓✓ ✓✓✓ ✓ b = -5
✓✓✓ ✓✓✓ ✓ m = 1
constant terms = 3
Hope it helped!!
Number of terms, Coefficients, Constant terms are 4,2 and 1
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Given;
3 + 4ab - 5b + m
Number of terms here are
=4
Coefficients we have
=2
Constant terms
=1
Therefore, the answer to this algebra will be 4,2 and 1
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ2
You have been given data about gas prices in 15 states.
2018 Gas Price Data
Max: $2.42
Min: $2.03
Mean: $2.098
Median: $2.06
Mode: $2.04
Variance: 0.0121
Standard Deviation: $0.1098
What does the mean and median of the data say about gas prices in 2018?
Both the mean and the median can be used to describe where the “center” of a dataset is located. It’s best to use the mean when the distribution of the data values is symmetrical and there are no clear outliers. It’s best to use the median when the distribution of data values is skewed or when there are clear outliers.
The diameter of a circle is 14 miles. What is the circle's area?
Use 3.14 for .
Answer:
153.86cm^2
Step-by-step explanation:
area of a circle= πr^2
where r = radius= 14/2= 7miles
area= 3.14×(7×7)
area= 3.14×49= 153.86cm^2
Find a function y of x such that 2yy′=x and y(2)=6
Answer:
[tex]y=\sqrt{\frac{x^{2}}{2} +34}[/tex]
Step-by-step explanation:
[tex]2y\left( x\right) y^{\prime }\left( x\right) =x[/tex]
[tex]\Longrightarrow \int 2y\left( x\right) y^{\prime }\left( x\right) dx=\int x\ dx[/tex]
[tex]\Longrightarrow y^{2}\left( x\right) =\frac{x^{2}}{2} +c\ \text{(c is a constant)}[/tex]
[tex]y\left( 2\right) =6\Longleftrightarrow y^{2}\left( 2\right) =36[/tex]
[tex]y^{2}\left( 2\right) =36\Longleftrightarrow \frac{\left( 2\right)^{2} }{2} +c=36\ \Longleftrightarrow c=34[/tex]
[tex]\Longrightarrow y\left( x\right) =\pm\sqrt{\frac{x^{2}}{2} +34}[/tex]
Which equation can be used to find A, the area of the parallelogram shown?
Explanation:
The area of a parallelogram is equal to base times height.
The base and height are always perpendicular to one another. Usually the base is horizontal along the ground (if not then you'd need to rotate your paper until it is, but that step is optional).
The base is 6 meters and the height is 7 meters.
Therefore, area = base x height = 6 x 7
The side of 11 meters is not used at all. It's likely put in there as a distraction.
Answer:
A = 6 * 7
Step-by-step explanation:
A parallelogram follows the same rules as a regular quadrilateral, as the only difference is that both its sides have been moved along.
a) What percentage of 5³ is 5?
b) What percentage of 5³ is 5²?
Step-by-step explanation:
a) 5³= 5*5*5 = 125
5/125*100%
4%
b) 5²=5*5=25
25/125*100%
20%
6. The ages of some children from a church were recorded. How many children were there in total?
Answer:
15
Step-by-step explanation:
Just add the number of kids disregarding their age
Answer:
The correct answer is 15.
Step-by-step explanation:
To get this answer, all we have to do is add up the data from the graph.
3 + 4 + 2 + 5 + 1 = 15
Hope this helps:) Goodluck!
I need the answers asap thank you
Answer:
1) C (Not Sure as Much as I do for #2 & #3)
2) D
3) C
11. A car can travel 90 miles on 3 gallons of gasoline. How far can it travel on 13 gallons?
Answer:
390 miles
Step-by-step explanation:
90/3 = 30
30x13 = 390
Work out
m
and
c
for the line:
y
=
x
+
4
Answer:
m = 1
c = 4
Step-by-step explanation:
First let's review what a slope-intercept form is.
Slope-intercept form is a specific form of linear equations. It always has y on one side and all the other terms on the other. Its structure is:
[tex]y = mx + c[/tex],
where m is the slope and c is the y-intercept.
You can easily read slope (m) and intercept (c) in your equation.
[tex]y = mx + c\\y = x + 4[/tex]
You can see that m in front of x is 1, because x = 1x. Multiplying with 1 perserves the number.
So:
[tex]m = 1\\c = 4[/tex]
Which expression represents the volume, in cubic units, of empty space in the cube? four-thirdsπ(4.53) – (4.5)3 (9)3 – four-thirdsπ(4.52) four-thirdsπ(4.53) – (9)3 (9)3 – four-thirdsπ(4.53)
The expression that represents the volume of the empty space is 9³ - 4/3π(4.5)³
How to determine the volume of the empty space?The cube box has a side length of 9.
So, the volume of the box is:
V = 9³
The sphere has a radius of 4.5.
So, the volume of the sphere is:
v = 4/3π(4.5)³
Calculate the difference between both volumes:
d = 9³ - 4/3π(4.5)³
Hence, the expression that represents the volume of the empty space is 9³ - 4/3π(4.5)³
Read more about volumes at:
https://brainly.com/question/1972490
#SPJ4
Answer: that is answer d
Step-by-step explanation:
2023 edge
Students must purchase a ticket to attend the show. the committee wants to
have $500 remaining from ticket sales, after paying for equipment, lighting,
and costumes.
the tickets will cost $5.60 for each ticket, and the committee expects to sell
as many tickets as there are seats available.
what is the greatest amount of money, in dollars, the committee can spend
on equipment and costumes?
Answer:
The total number of seats is also needed to answer the question.
Step-by-step explanation:
For example, if there were 100 seats the committee would make $560 in all, therefore having $60 to spend on equipment and costumes.
Whats the product 72x0.45
Answer:
72 times 0.45 is equal to 33.75
Step-by-step explanation:
You can use a calculator to find this out.
Answer:
32.4
Step-by-step explanation:
After repeatedly adding 0.45 a total of 72 times. You end up getting 32.5
To check the answer you divide 32.5 by 72 and receive 0.45. Checking the answer
