Answer:
The answer is below
Step-by-step explanation:
The empirical rules states that for a normal distribution, 68% of the data falls within one standard deviation from the mean, 95% falls within two standard deviation from the mean and 99.7% falls within three standard deviations from the mean.
Given that:
mean (μ) = 71 inches, standard deviation (σ) = 4.3 inches
One standard deviation = μ ± σ = 71 ± 4.3 = (66.7, 75.3)
Two standard deviation = μ ± 2σ = 71 ± 2*4.3 = (62.4, 79.6)
Three standard deviation = μ ± 3σ = 71 ± 3*4.3 = (58.1, 83.9)
The graph is attached
if a student is selected at random, find the probability that the student is 14 year old
Answer:
If the student is selected at random the answer is if you put 14 years apart of the student selected at random means the answer are not apart.
Step-by-step explanation:
14 years selected the problem is that 14-9 is more then 9 and u add that up to get the right equation for the 14 years apart
Factor of 15x - 20y
Answer:
0
Step-by-step explanation: Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-20y' to each side of the equation.
15x + 20y + -20y = 0 + -20y
Combine like terms: 20y + -20y = 0
15x + 0 = 0 + -20y
15x = 0 + -20y
Remove the zero:
15x = -20y
Divide each side by '15'.
x = -1.333333333y
Simplifying
x = -1.333333333y
Question 3
Simplify
4x² × 2x³
Step-by-step explanation:
[tex]4 {x}^{2} \times 2 {x}^{3} = 8 {x}^{5} [/tex]
Answer:
Step-by-step explanation:
4x^2 * 2x^3
(2)^2 *x^2 *2*x^3
(2)^2+1 *x^2+3
(2)^3 *x^5
8*x^5
8x^5
another method
4*x^2*2*x^3
multiply 4 and 2
8*x^2+3
8x^5
in multiplication if the bases are same we add their power(exponent).In division if the bases are same we subtract their power(exponent).
Mention any two similarities between rectangle and square.
What is the probability that a randomly chosen person from this group is a
sophomore and attended the jazz band concert?
Round your answer to two decimal places.
A. 0.56
B. 0.52
C. 0.26
D. 0.31
Answer:
0.26 or C
Step-by-step explanation:
Basically you would do the sophomores that attended the jazz band concert (35) and divide that by the total number of students. (137) - - 35 ➗ 137 = .2554744526 round that to .26 or 0.26
The probability that a randomly chosen person from this group exists a sophomore and attended the jazz band concert is 0.31.
What is probability?Probability exists about calculating or estimating how possible or 'probable' something exists to occur.
Let A be the event that a person exists a sophomore.
B be the event that a person attended volleyball game.
A∩B denote the event that a person exists a sophomore and attend volleyball game.
P be the probability of an event.
We have to estimate the value of P(A∩B),
Given: A∩B = 42
P(A∩B) = 42/137 = 0.3065 approximately equal to 0.31
P(A∩B) = 0.31.
The probability that a randomly chosen person from this group exists a sophomore and attended the jazz band concert is 0.31.
Therefore, the correct answer is option D. 0.31.
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please help! (listing BRAINLIST and giving points)
In rhombus LMNO, diagonals top enclose L N end enclose and top enclose M O end enclose intersect at P. If the measure of angle L P M is represented by 2x + 70. Solve for x.
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Answer:
x = 10
Step-by-step explanation:
The diagonals of a rhombus cross at right angles.
2x +70 = 90
2x = 20 . . . . . . . subtract 70
x = 10 . . . . . . . . . divide by 2
1,4,1,8,1,16,1 what’s next in the sequence?
Answer:
32
hope this helps
have a good day :)
Step-by-step explanation:
Please help, I’m so lost in math
Answer:
[tex]r = 15 \times 5 \\ r = 75[/tex]
Answer:
75
Step-by-step explanation:
5 = r/15
what we want to do is solve for r
to do this we want to isolate the variable (r) using inverse operations
5 = r / 15
so to solve for r we want to get rid of the 15
r is being divided by 15
the inverse of division is multiplication
so to get rid of the 15 we multiply by 15
but remember whatever we do to one side we must do to the other side, so we multiply each side by 15
15 * 5 = 75
r / 15 * 15 = r
we're left with r = 75
we can then check are work by substituting 75 for r and then see if the equation is true
5 = r/15
* substitute 75 for r *
5 = 75/15
75 / 15 = 5
we're left with 5 = 5 which is true
4 1) Which of the following is the correct way to solve
(i( 11 x 44? 4 X 11 44 (0) (ii) 4 X 44 11 X 44 4 X 44 11 (iii) (iv) 11 X 44
Answer:
c)4*44 / 11
Step-by-step explanation:
which of the following is the correct way to solve 4/11 * 44
a) 4*11 / 44
= 44/44
= 1
b) 4*44 / 11*44
= 176/484
= 44/121
c)4*44 / 11
= 176/11
= 16
d)11*44 / 4
= 484/4
= 121
Correct way
4/11 * 44
= (4 * 44) / 11
= 16
Evaluate A= 2
B= 3
C= 5
) A2+B 2+ C2
C2-4A + 2B
The function of f(x) = 3x + 2 has a domain of -3 < x < 5. What is the domain of f-1(x)?
====================================================
Explanation:
Plug in the lower bound of the domain, which is x = -3
f(x) = 3x+2
f(-3) = 3(-3)+2
f(-3) = -9+2
f(-3) = -7
If x = -3, then the output is y = -7. Since f(x) is an increasing function (due to the positive slope), we know that y = -7 is the lower bound of the range.
If you plugged in x = 5, you should find that f(5) = 17 making this the upper bound of the range.
The range of f(x) is -7 < y < 17
Recall that the domain and range swap places when going from the original function f(x) to the inverse [tex]f^{-1}(x)[/tex]
This swap happens because how x and y change places when determining the inverse itself. In other words, you go from y = 3x+2 to x = 3y+2. Solving for y gets us y = (x-2)/3 which is the inverse.
-----------------------
In short, we found the range of f(x) is -7 < y < 17.
That means the domain of the inverse is -7 < x < 17 since the domain and range swap roles when going from original to inverse.
The domain of the resulting function exists on all real values that is the domain is -∞ < f-1(x) < ∞
How to find the domain of an inverse function?The domain of a function are the independent values of the function for Which it exists.
Given the function f(x) = 3x + 2
Find its inverse
y = 3x + 2
Replace x with y
x = 3y + 2
Make y the subject of the formula:
3y = x - 2
y = (x-2)/3
The domain of the resulting function exists on all real values that is the domain is -∞ < f-1(x) < ∞
Learn more on domain here: https://brainly.com/question/26098895
What value of x will make the triangle congruent
Answer:
x = 3/5 = 0.6
Step-by-step explanation:
By the ASA Triangle Congruence Theorem, the two given triangles are congruent (vertical angles are congruent). Because we know that corresponding parts of congruent triangles are congruent, we can write the following equation: 7x - 3 = 2x. Now we can solve:
7x - 3 = 2x
-3 = -5x
3/5 = x
fill in the missing digits pls asap
Answer:
3 8
× 2 7
______
2 6 6
+ 7 6
_______
1 0 2 6
Answer:
38
x 27
266
+ 76_
1026
Pls help LOL I WILL MARK U BRAINLIEST‼️‼️‼️‼️
Answer:
B=17
A=16
Step-by-step explanation:
It is my friend OK if you want say again and I can ans
[tex]f(x)=\sqrt(x) \\ g(x)=\sqrt((4)/(5)x)[/tex]
Identify a horizontal or vertical stretch or compression of the function f(x)=\sqrt(x) by observing the equation of the function g(x)=\sqrt((4)/(5)x)
A. A vertical compression by a factor of 5/4
B. A horizontal compression by a factor of 5/4
C. A horizontal stretch by a factor of 5/4
D. A vertical stretch by a factor of 5/4
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Answer:
C. A horizontal stretch by a factor of 5/4
Step-by-step explanation:
Replacing x in f(x) by kx introduces a horizontal compression by a factor of k, or a stretch by a factor of 1/k. Here, we have k=4/5, so the curve is stretched horizontally by a factor of 5/4.
I’m stuck between 51 or 42 HELP!!!
Answer:
51
Step-by-step explanation:
Have a nice day :)
Complete the explanation on why it is a good idea to use multiple samples when making comparative inferences about two populations.
It is a good idea to use multiple random samples to see how statistical measure vary among the ————-(different/same) samples.
A jeweler purchases a necklace for $80. She will increase the cost by 50% to sell in her
store. What will the jeweler charge for the necklace to her customers?
Answer:
120
Step-by-step explanation:
First find the markup
80 * 50%
80*.5
40
Add this to the original cost
80+40
120
The price will now be 120
PLS HELP ASAP !!! PLSSS !! will mark whoever answers correctly as brainliest !
Answer:
60° is the answer sure
I hope the above pic explanation helps
I HOPE IT HELPS
HAVE A GREAT DAY
#Liliflim
Answer:
60°
Step-by-step explanation:
....................................
Patrick wanted to gather data about the cost of joining a community pool in his area. He plotted the data and determined that the average community pool membership cost consists of a one-time registration fee and a monthly fee modeled by the equation y = 15x + 40.
Identify and interpret the y-intercept in this model.
Answer:
40
Step-by-step explanation:
You can find y intercept by looking at the end of the equation, that’s what’s added. So +40 is the y intercept
The y intercept in this equation represents the one-time registration fee
Find the volume of the parallelepiped with one vertex at the origin and adjacent vertices at (1, 4, 0), (-2, -5, 2), and (-2, 2, 1).
17 cubic units.
Step-by-step explanation:
The volume (V) of a parallelepiped with one vertex at the origin is given by the absolute value of the scalar vector product of the vectors at the adjacent vertices.
V = |(a x b) · c|
In this case,
a = (1,4,0) = i + 4k + 0j
b = (-2,-5,2) = -2i -5j + 2k
c = (-2,2,1) = -2i + 2j + k
First, let's calculate the cross product of vectors a and b. i.e a x b as follows:
(i) Arrange the vectors in a matrix form
a x b = | i j k |
| 1 4 0 |
| -2 -5 2 |
(ii) Calculate the determinant of the matrix
a x b = i(8 - 0) -j(2-0) + k(-5+8)
a x b = i(8) -j(2) + k(3)
a x b = 8i - 2j + 3k
Secondly, calculate the scalar product of the cross product found above and the vector c as follows;
(a x b) . c = (8i - 2j + 3k) · (-2i + 2j + k)
Multiply like terms
(a x b) . c = (8 * -2)(i.i) + (-2 * 2)(j.j) + (3 * 1)(k.k) [i.i = j.j = k.k = 1]
(a x b) . c = (-16) + (-4) + (3)
(a x b) . c = -16 - 4 + 3
(a x b) . c = -17
Thirdly, find the absolute value of the result found above. i.e
|(a x b) . c| = |-17|
|(a x b) . c| = 17
Therefore, the volume of the parallelepiped is 17 cubic units.
Given that tangent squared theta = three-eighths, what is the value of secant theta?
Answer:
[tex]\sec \theta = \frac{\sqrt{22}}{4}[/tex]
Step-by-step explanation:
Given
[tex]\tan^2 \theta = \frac{3}{8}[/tex]
Required
[tex]\sec\ \theta[/tex]
We have:
[tex]\sec^2\theta = 1 + \tan^2 \theta[/tex]
This gives:
[tex]\sec^2\theta = 1 + \frac{3}{8}[/tex]
Take lcm and solve
[tex]\sec^2\theta = \frac{9+3}{8}[/tex]
[tex]\sec^2\theta = \frac{11}{8}[/tex]
Take square roots
[tex]\sec \theta = \frac{\sqrt{11}}{\sqrt 8}[/tex]
[tex]\sec \theta = \frac{\sqrt{11}}{2\sqrt 2}[/tex]
Rationalize
[tex]\sec \theta = \frac{\sqrt{11}}{2\sqrt 2} * \frac{\sqrt 2}{\sqrt 2}[/tex]
[tex]\sec \theta = \frac{\sqrt{22}}{4}[/tex]
Answer:
answer is B
Step-by-step explanation:
i got it right on edg
Evaluate the expression 53 ÷ (13 − 8) × 2.
Numerical Answers Expected!
Answer:
21.2
Step-by-step explanation:
BODMAS : First bracket, then Division then multiplication.
[tex]53 \div (13-8) \times 2\\53 \div 5 \times 2\\10.6 \times 2\\21.2[/tex]
Simplify the polynomial (4n2 + 3n - 5) - (2n2 + 3n+ 6)
We keep brackets
(4n^2 + 3n - 5 ) - (2n^2 + 3n + 6)
We change signs and we group
4n^2 - 2n^2 + 3n - 3n - 5-6
We simplify
2m^2 - 11
Answer: = 2.n^2 - 11
The value of (4n^2 + 3n - 5) - (2n^2 + 3n+ 6) is 2n^2 - 11
How to simplify the expression?The polynomial expression is given as;
(4n^2 + 3n - 5) - (2n^2 + 3n+ 6)
Open the bracket
4n^2 + 3n - 5 - 2n^2 - 3n- 6
Evaluate the like terms
2n^2 - 11
Hence, the value of (4n^2 + 3n - 5) - (2n^2 + 3n+ 6) is 2n^2 - 11
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ESTION 1
T1
- Say whether you think each statement is True or False. Motivate your answer.
1 It always makes sense to talk about a certain percentage of a number, for example 1%
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Answer:
False
Step-by-step explanation:
"Always" and "never" statements are generally false--especially when they relate to something like a topic of conversation. Even in the context of math and physics, we find exceptions to most "rules."
Circle P contains a diameter AB with coordinates A(1, 2) and B(-7, 2).
5a) State the coordinates of the center.
5b) Determine the length of the radius.
5c)Johnny used the above information for the center and radius and come up with the equation below. Do you agree or disagree with his answer? Explain.
PLEASE ANSWER I DONT HAVE MUCH TIME
Answer:
[tex]centre = ( \frac{1 - 7}{2} , \: \frac{2 + 2}{2} ) \\ = ( - 3, \: 2)[/tex]
[tex]length = \sqrt{ {( - 7 - 1)}^{2} + {(2 - 2)}^{2} } \\ = \sqrt{ { - 8}^{2} } \\ = 8 \: units[/tex]
radius = 8÷2
= 4 units
Johnny was right
plz plz guys solve this i will give you brainliest with procedure
Answer:
5:9
Step-by-step explanation:
1/5kg:360g
kg to g
1kg=1000g
1/5kg=1/5x1000
=200g
200g:360g
200g/360g
200/360
5/9
5:9
help help please help help
Answer:
The range is 5.
Step-by-step explanation:
You can deduce this by concluding all other statements are true, or by calculating the range. 10 - 1 = 9
The police station has a parking lot that is 72 feet long by 41 feet wide. Each parking spot measures 8 feet wide and 18 feet deep. Each spot has 23 feet behind it Por the cars to back out. How many parking spots can the police station have?
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Answer:
9
Step-by-step explanation:
The total depth of a parking space must be (18 ft +23 ft) = 41 ft. The lot is 72 ft by 41 ft, so can have (72 ft)/(8 ft) = 9 parking spaces.