The z-score of the value P ( x < 92 ) is given by z = -1 with standard deviation of 6 is P ( x < 92 ) = 0.16
What is a z-score?The relationship between a value and the mean of a set of values is expressed numerically by a Z-score. The Z-score is computed using the standard deviations from the mean. A Z-score of zero indicates that the data point's score and the mean score are identical.
The Z-score is calculated using the formula:
z = (x - μ)/σ
where z: standard score
x: observed value
μ: mean of the sample
σ: standard deviation of the sample
Given data ,
Let the distribution be a normal distribution where
The mean of the data is μ = 98
The standard deviation is σ = 6
Now , the Z-score is determined by z = (x - μ)/σ
On simplifying , we get
when x = 92
P ( x < 92 ) is
z = ( 92 - 96 ) / 6
z = -1
So , the p value of P ( x < 92 ) is 0.1587
On rounding to the nearest value , we get
P ( x < 92 ) = 0.16
Hence , the z-score is solved
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Find the sum of
1. (2x2 − x) + (x2 + 3x − 1)
2. 5x2+2x−1+(4x2−x+2)
3. (3x2+2x+1)+(x2−1)
4. −x2−1 +(4x2−x)
Answer:
Step-by-step explanation:
(2x^2-x)+(x^2+3x-1)
2x^2-x+x^2+3x-1
x^2+3x-1
5x^2+2x-1+(4x^2-x+2)
5x^2+2x-1+4x^2+x-2
9x^2+6x-3
(3x^2+2x+1)+(x^2-1)
3x^2+2x+1+x^2-1
4x^2+2x
-x^2-1+(4x^2-x)
-x^2-1+4x^2-x
3x^2-1-x
Find the perimeter 5 1\2
Answer:
22
Step-by-step explanation:
Point P is at (3,-3) it undergoes the transformation (x - 2, y + 3). Where is P' at?
Answer:
The coordinates of P' are [tex]P'(x,y) = (1, 0)[/tex].
Step-by-step explanation:
The coordinates of the point P' is determined by the following expression:
[tex]P'(x, y) = P(x,y) + T(x,y)[/tex] (1)
Where:
[tex]P(x,y)[/tex] - Original point.
[tex]P'(x,y)[/tex] - Translated point.
[tex]T(x,y)[/tex] - Translation vector.
If we know that [tex]P(x,y) = (3, -3)[/tex] and [tex]T(x,y) = (-2, 3)[/tex], then the coordinates of point P':
[tex]P'(x,y) = (3, -3) + (-2, 3)[/tex]
[tex]P'(x,y) = (1, 0)[/tex]
The coordinates of P' are [tex]P'(x,y) = (1, 0)[/tex].
Bernice uses the equation C = 2h + 8 to find the total cost, C, in dollars, of renting a boat for h hours. If Bernice does not spend more than $32, what is the maximum number of hours she can rent the boat?
a 8
b 12
c 20
d 22
Answer:
A
Step-by-step explanation:
Since she's not spending more than $32, the equation is 2h + 8 ≤ 32.
Isolate h to find the maximum number of hours she can rent the boat:
2h + 8 ≤ 32
First, subtract 8 from both sides.
2h ≤ 16
Then divide both sides by 2.
h ≤ 8
h, the number of hours, must be less than or equal to 8, so 8 is the maximum number of hours Bernice can rent the boat for.
Use the given values of n and p to find the minimum usual value μ − 2σ and the
maximum usual value μ + 2σ. Round your answer to the nearest hundredth unless
otherwise noted.
n = 261, p =1/5
Minimum: 65.12; maximum: 39.28
Minimum: 39.28; maximum: 65.12
Minimum: 45.74; maximum: 58.66
Minimum: 43.06; maximum: 61.34
After answering the question provided, we can predict that the result will be as by equation As a result, the correct response is: Minimum: 41.64; Maximum: 62.76.
What is equation?A mathematical equation is a process that links two statements and indicates equality using the equals sign (=). A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the equal sign separates the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula may be used to understand the link between the two sentences that are written on opposite sides of a letter. Frequently, the logo and the particular software are identical. like in 2x - 4 = 2, for example.
A binomial distribution with the specified values of n and p has a mean of = np and a standard deviation of = sqrt(np(1-p)).
Inputting n = 261 and p = 1/5 results in:
μ = np = 261 × 1/5 = 52.2
5.28 is equal to sqrt(np(1-p)) = sqrt(261 1/5 4/5)
Calculating the minimal typical value of 2 is as follows:
μ − 2σ = 52.2 − 2 × 5.28 ≈ 41.64
The calculation for the maximum typical value + 2 is as follows:
μ + 2σ = 52.2 + 2 × 5.28 ≈ 62.76
These values are rounded to the nearest hundredth, giving us:
The range is 41.64 to 62.76.
As a result, the correct response is: Minimum: 41.64; Maximum: 62.76.
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Answer:
Minimum: 39.28; maximum: 65.12
Round 75 to the nearest hundredth
Answer:
Hundredth? Hundredth is for decimals. If you meant to the nearest Hundred, then it's 100.
Step-by-step explanation:
If you actually meant hundredths though, then it would be 75, because 75 doesn't have any decimals
What is the first step to solving 8=2/3x
Answer:
the first step is to divide two by three x
Answer:
x = 12
Step-by-step explanation:
Eliminating the fractional coefficient would be a great start:
8 = (2/3)x becomes 24 = 2x after multiplication of both sides by 3.
Then x = 12
What is the area of the shaded section?
Answer:
270cm squared
area of shaded part rectangle is 180
are of triangle is 48 and 42 respectively you add the three to get 270
Just need a lil help kind of stucc .
Answer:
Scale Factor
Step-by-step explanation:
Sorry if im wrong. I just kinda tried :p
-a-b³+ab if a=-3 and b=2
Answer:
-11
Step-by-step explanation:
Lets rewrite the equation with the values
-(-3) - 2³ + ab
3 - 8 + (-3*2)
-5 + -6 = -11
-11
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
-11
Step-by-step explanation:
Simply plug in a=-3 and b=2 into the equation provided. Remember the signs (+/-) and be careful with your calculations.
-(-3) - (2)^3 + (-3)(2) = -11
Please help me with this problem.
Which function would best represent “each ink cartridge purchased for a printer costs $12”.
Linear
Exponential
Quadratic
I need help with this ASAP!!
9514 1404 393
Answer:
(b) g, h, f
Step-by-step explanation:
The larger the magnitude of the vertical scale factor, the quicker the graph takes on higher values. That makes its appearance narrower.
Here, you want to list the functions in decreasing order of vertical scale factor:
g(x) . . . scale factor 4
h(x) . . . scale factor 2
f(x) . . . scale factor 1/3
please help im reallyyyy desperate
NO LINKS OR FILES
Answer:
(2, -3), (3, -3)
Step-by-step explanation:
y = x^2 - 5x + 3
y = -3
x^2 - 5x + 3 = -3
x^2 - 5x + 6 = 0
(x - 3)(x - 2) = 0
x - 3 = 0 or x - 2 = 0
x = 3 or x = 2
We are given y = -3.
Answer: (2, -3), (3, -3)
Answer:
(2, -3) , (3, -3)
Step-by-step explanation:
One is asked to find what values of the parameter (x) will yield the result (f(x)=-3) if the function (f(x)) is the following,
[tex]f(x)=x^2-5x+3[/tex]
Set this equation up, and solve to find the value of (x) that satisfies this requirement:
[tex]f(x)=x^2-5x+3=-3[/tex]
Inverse operations,
[tex]x^2-5x+6=0[/tex]
Factor, rewrite the quadratic equation as the product of two linear equations,
[tex](x-2)(x-3)=0[/tex]
Therefore the solutions are the following, the (x-coordinate) represents the input, and the (y-coordinate) represents the output.
(2, -3), (3, -3)
The solution of the quadratic equation 3x^2=4x is written by a student as the following: According to you, is this students solution correct or not? Explain your answer with reasons?
Solution:
Step 1:3x2 = 4x
Step 2: 3xx = 4x
Step 3:3x = 4
Step 4: x = 4/3
make sure answer is in degrees.
sin^-1(sin 17°)
Answer:
uhm 0 degrees
Step-by-step explanation:
The value of the inverse trigonometric expression sin⁻¹(sin 17°) will be 17°.
What is inverse trigonometry?Simply put, inverse trigonometric operations are the opposites of the fundamental trigonometric parameters sine, cosine, secant, cosecant, tangent, and cotangent.
The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The inverse trigonometric expression is given below.
⇒ sin⁻¹(sin 17°)
We know that the value of sin⁻¹(sin θ) is θ.
Then the value of the inverse trigonometric expression will be
⇒ sin⁻¹(sin 17°)
⇒ 17°
Thus, the value of the inverse trigonometric expression sin⁻¹(sin 17°) will be 17°.
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will name brainliest
Answer:
a=12
Step-by-step explanation:
We must use SOH, CAH, TOA
SOH= Sin0=opp/hyp
CAH=Cos0=adj/hyp
TOA= Tan0=opp/adj
Since we have opposite and hypotenuse we use Sin ratio, in this case,
sin30°= [tex]\frac{a}{24}[/tex]
[tex]\frac{1}{2}[/tex]=[tex]\frac{a}{24}[/tex] we cross multiply
[tex]\frac{2a}{2}[/tex]=[tex]\frac{24}{2}[/tex]divide both sides by 2 to get a by itself
a=12
Answer:
a = 12
Step-by-step explanation:
To find a, we will use the trigonometric ratio of Sin, since the opposite side of the angle given needs to be found out and the hypotenuse is given;
Sin(30) = [tex]\frac{a}{24}[/tex]
Sin(30) * 24 = a
12 = a
Hope this helps!
A.)17.5
B.)20
C.)18
D.)17
Answer: A
Step-by-step explanation: 35 / 2 = 17.5
Answer:
C. is correct
Step-by-step explanation:
i hope this helps :) brainliest please?
Loagn used the net below to design a nylon tent
Answer:
Part A: The tent is shaped like a square pyramid
Part B: a 36ft tent
Step-by-step explanation:
Answer:
Step-by-step explanation:
i don’t know
quick please
7.find the area of the shaded region of the rectangle:
Answer:
6x+2
-2x+1
=
4x+1
just find the area of each and subtract the non-shaded one from the shades area.
9x^6 + 35x(3/52.5)= 569
Answer:
x = 1.99359
Step-by-step explanation:
Answer: x ≈ − 1.99825808 , 1.99359054
Step-by-step explanation:
Find the mean absolute deviation for the following data:
6, 7, 10, 12, 13, 4, 8, 12
(A) 5.50
(B) 4.50
(C) 3.75
(D) 2.75
The diameter of a circle is 12 cm. Find the circumference to the nearest tenth
Answer:
Step-by-step explanation:
38 or 37.7 when not rounded
hope this helps
Harry bought a broken motor scooter, fixed it, and sold the scooter for $150. That was $25 less than 2 times the amount he paid for it. Which equation can be used to find, p, the amount of money Harry originally paid for the scooter?
Answer:
p/2 - 25 = 150
Step-by-step explanation:
I'll try my best.
$150 would be the initial value, so we would use that for the base.
$25 less means subtract 25 dollars in this context.
2 times means multiply by 2.
"$150 was $25 less than 2 times the amount he paid for it ([tex]p[/tex])."
[tex]\frac{p}{2} -25 = 150[/tex]
If you were to solve this:
[tex]\frac{p}{2} -25 = 150[/tex]
[tex]\frac{p}{2} =175[/tex]
[tex]p=350[/tex]
The answer I get from the equation would be $350.
If you input 350 into it:
[tex]\frac{(350)}{2} -25[/tex]
[tex]175 -25[/tex]
[tex]150[/tex]
Answer:
P = 150 ÷ 2 - 25 = p
Step-by-step explanation:
The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you know two points that a line passes through, this page will show you how to find the equation of the line.
Given: Harry bought a broken motor scooter, fixed it, and sold the scooter for $150. $25 less than 2 times the amount he paid for it.
To find: Which equation can be used to find, p, the amount of money Harry originally paid for the scooter?
Solution: It says; "That was $25 less than 2 times the amount he paid for it"
With that said, find the amount that is 2 times more than 150. To find that, the opposite of times is division, so divide 150 by 2
[tex]150[/tex] ÷ [tex]2 =[/tex] [tex]75[/tex]
Now that has been found, the next thing to find is $25 less, less means subtract. To calculate the amount Harry originally paid for the scooter, subtract 25 from 75
[tex]75 - 25 = 50[/tex]
Therefore, the amount of money Harry originally paid for the scooter is $50
Hence, the equation can now be found as; P = 150 ÷ 2 - 25 = p
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Arun sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below. 128 visitors purchased no costume. 3 visitors purchased exactly one costume. 5 visitors purchased more than one costume. Based on these results, express the probability that the next person will purchase exactly one costume as a fraction in simplest form.
Answer:
3/136
Step-by-step explanation:
128 + 3 + 5 = 136
= 3/136 (simplest form)
I need the answer to x
Answer:
x = 14
Step-by-step explanation:
arc JL = 180° ( JL is a diameter ), then
arc KL = 180° - 31° = 149° , so
9x + 23 = 149 ( subtract 23 from both sides )
9x = 126 ( divide both sides by 9 )
x = 14
Answer:
X=14
Step-by-step explanation:
360-31-31=298
298/2=149
149-23=126
126/9=14
Express the following in the form a + bi, where a and b are real numbers:
[tex] \sqrt{60i - 11} [/tex]
The equivalent of the complex number expression is [tex]\sqrt{60i - 11}[/tex] is 2 + 15i
How to rewrite the expression?The complex number expression is given as:
[tex]\sqrt{60i - 11}[/tex]
Rewrite as:
[tex]a + bi = \sqrt{60i - 11}[/tex]
Take the square of both sides
[tex]a^2 + 2abi - b = 60i - 11[/tex]
By comparison, we have:
a^2 - b = -11
2ab = 60
Divide both sides by 2
ab = 30
Using a graphical tool, we have:
a = 2,b = 15
So, we have:
a + bi = 2 + 15i
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Marking brainliest...
Answer:
C. 12
Step-by-step explanation:
Find the percentage of him drawing a blue marble.
4/10 = 0.4
He has a 40% chance of picking blue.
Find 40% of 30.
12
He would draw a blue marble around 12 times.
Answer:
C
Explanation:
So in the bag, there are 10 marbles, and 4 of them are blue, so if he drew from the bag 10 times, we can assume the fraction:
4/10
Next, we see that the denominator, or the number times Cade is drawing from the bag is 30, which makes us multiply most sides of the fraction by 3:
12/30
So I would say 12/30, but again, he wouldn't draw a blue exactly 4 times, and it may be more or less, so either 8/12....
Hope this helps!
Find the Area of this shape, please.
Answer:
149cm^2
Step-by-step explanation:
big brain
Answer:
114cm²
Step-by-step explanation:
Okay, so you can split this thingy up into a rectangle and another rectangle, so that's what we're going to do (see pic below)
So now we take off that 7 from the 13:
13 - 7 = 6
So now we find the area of that little area:
6 x 5 = 30
Now we do the other rectangle:
12 x 7 = 84
Now we add them together:
84 + 30 = 114
So the area of the shape is 114cm²
hope this helps:)
what is the answer to this question 600-9484
Hello~
The answer is
-8884
Brainliest please!
Ary~
Step-by-step explanation:
[tex]600 - 9484 \\ = - 8884[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]