Using the normal distribution, it is found that approximately 40% of the scores are greater than 413.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, we have that the mean and the standard deviation of the scores are given by:
[tex]\mu = 400, \sigma = 50[/tex]
Approximately 40% of the scores are greater than the 60th percentile, which is X when Z = 0.253.
Then:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.253 = \frac{X - 400}{50}[/tex]
X - 400 = 50(0.253)
X = 412.65.
Rounding up, approximately 40% of the scores are greater than 413.
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Answer:
413
Step-by-step explanation:
I took the test k12
please help
3a-10pts
3b-10pts
3c-10pts
answer
Solved 3a. (10 pts) fa? x2 arctan (3.c) dx = 3b. (10 pts)
Step-by-step explanation:
brainlist me
3Ix+5I=7
I= absoulute value symbol
Answer:
[tex]x = -\dfrac{8}3~~~~\text{or}~~~x = -\dfrac {22}3[/tex]
Step by step explanation:
[tex]~~~~~3|x+5|=7\\\\\implies |x+5| = \dfrac 73\\\\\implies x +5=\dfrac 73~~~\text{or}~~~x+5 = -\dfrac 73\\\\\implies x = \dfrac 73 -5~~~\text{or}~~~ x = -\dfrac 73 - 5\\\\\implies x = -\dfrac{8}3~~~~~~\text{or}~~~x = -\dfrac {22}3[/tex]
An icicle drips at a rate that can be represented by the function f(x) = −x2 11x − 18, where 0 ≤ x ≤ 10 and x is the number of hours after the sun has risen. when f(x) is a negative number, the icicle is not dripping. determine the values when the icicle starts and stops dripping. x = 2 and x = 9 x = −2 and x = 9 x = 2 and x = −9 x = −2 and x = −9
Quadratic functions are functions that have a leading degree of 2. The values when the icicle starts and stops dripping is at x = 2 and 9
Application of intercepts of a functionQuadratic functions are functions that have a leading degree of 2.
Given the equation that represents the rate at which an icicle drips below:
f(x) = −x^2 + 11x − 18
If the icicle is not dripping at the point where f(x) is a negative number, hence point where the icicle starts and stops dripping is the point where f(x) =0
Substitute
−x^2 + 11x − 18 = 0
x^2 - 11x + 18 = 0
x^2 - 9x - 2x + 18 =0
x(x - 9)-2(x-9) = 0
x = 2 and 9
Hence the values when the icicle starts and stops dripping is at x = 2 and 9
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Which equation represents a line which is parallel to the line x-
8y = 48?
Answer:
y = 1/8x
Step-by-step explanation:
REMEBER: When the slopes are two lines are equal, they're parallel.Given Equation:
x - 8y = 48 ---> This equation is in standard form.⇒ -8y = -1x + 48
⇒ y = 1/8x + 6
As a result, the equation of the parallal line to the given equation x - 8y = 48 is:
⇒ y = 1/8x
Can someone help me out I will give u brainest
Answer:
A=4πr2=4·π·2.52≈78.53982 ==> A
Step-by-step explanation
the radius is 2.5 feet, the formula is given, then sub for pi and approx answers is 78.5
What is the 10th term in the increasing pattern shown?
1, 1, 2, 3, 5, 8, 13
Answer:
55
Step-by-step explanation:
(after the first "1") You need to add the previous two numbers together to get the next number in the pattern.
100 POINTS!!!!!!!!!! PLEASE HELP NEED THIS DONE AS SOON AS POSSIBLE ASAP
Answer:
20.28
Step-by-step explanation:
Triangles; 4
Area of 1 Triangle; 2
Rectangles; 8
Semi Circle; 6.28
Area in total; 20.28
Hope This Helps! :)
Step-by-step explanation:
Area of the rectangle: 4×2=8
Area of the semicircle: πr² ÷ 2= 22/7×2² ÷2 = 12.57 ÷2 = 6.29
Area of one triangle: 1/2×2×2= 2
Area of total figure: 8+6.29+2+2= 18.29
Hope this helps =)
Given: f(x)=x²+1 and f(g(x)) = 4x² + 4x +2. Find g(x).
Answer:
g(x)=2x+1
Step-by-step explanation:
(2x+1)^2+1=4x^2+4x+2
The first three steps of completing the square to solve the quadratic equation 2? + 8x + 5 = 0 are shown
below.
Step 1: x² + 8.0 = -5
Step 2: x2 + 8x + 16 = -5+16
Step 3: (x + 4)2 = 11
What are the next 3 steps?
Answer:
x = 3/2
Step-by-step explanation:
Step 4: 2x + 8 = 11
step 5: 2x +8 - 8 = 11 -8
step 6: 2x/2 = 3/2
step 7: x = 3/2
Answer:
see explanation
Step-by-step explanation:
take the square root of both sides
step 4 : x + 4 = ± [tex]\sqrt{11}[/tex] ( subtract 4 from both sides )
step 5 : x = - 4 ± [tex]\sqrt{11}[/tex]
step 6 : x = - 4 - [tex]\sqrt{11}[/tex] , x = - 4 + [tex]\sqrt{11}[/tex]
Which algebraic expressions are binomials? Check all that apply
Answer:
Of the ones listed, in the way they are written, the answers are x²y – 3x and 6y² – y.
Explanation:
A monomial is a constant, a variable, or the product of constants and variables. A binomial is the sum or difference of two monomials.
The first option, xy, is a monomial. There is only one, so it is not a binomial.
The second one, x²y-3x, is the difference of two monomials; this means it is a binomial.
The third one, 6y²-y, is the difference of two monomials; this means it is a binomial.
The last one, y²+4xy-x², is the sum and/or difference of at least three monomials (there is a plus at the end that makes me think there is more to it). This means it is a trinomial, not a binomial.
Answer: B, C, and E.
Step-by-step explanation:
Since all three show the characteristics found in a binomial then these three are your answers. Plus I just did it on Edge.
:)
Which values of c will cause the quadratic equation -x^2+3x+c=0 to have no real number solutions? Check all that apply.
Taking into account the discriminant of a cuadratic function, values of c less than[tex]-\frac{9}{4}[/tex] cause the quadratic equation -x²+3x+c=0 to have no real number solutions.
Discriminant of a cuadratic functionThe function f(x) = ax² + bx + c with a, b, c real numbers and a ≠ 0, is a function quadratic expressed in its polynomial form (It is so called because the function is expressed by a polynomial).
The following expression is called discriminant:
Δ= b²- 4×a×c
The discriminant determines the amount of roots of the function. The roots are those values of x for which the expression is 0, so it graphically cuts the x-axis.
Then:
If Δ <0 the function has no real roots and its graph does not intersect the x-axis.If Δ> 0 the function has two real roots and its graph intersects the x-axis at two points .If Δ = 0 the function has a real root and its graph intersects the x-axis at a single point that coincides with its vertex. In this case the function is said to have a double root.Value of cIn this case, for the quadratic equation -x²+3x+c=0 you know:
a= -1b= 3c= cIf the function has no real roots, the discriminant is less than zero (Δ <0). This is: b²- 4×a×c < 0
Substituting the corresponding values, you get:
3²- 4×(-1)×c < 0
Solving:
9 + 4×c < 0
4×c < -9
c< (-9)÷4
c< [tex]-\frac{9}{4}[/tex]
Finally, values of c less than[tex]-\frac{9}{4}[/tex] cause the quadratic equation -x²+3x+c=0 to have no real number solutions.
Learn more about the discriminant of a cuadratic function:
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What type of angle is shown below?
29°
O A. Obtuse
O B. Acute
O C. Right
O D. Straight
Help pls
Answer:
B. Acute
Step-by-step explanation:
Any angle less than 90 degrees is an acute angle. A 90-degree angle is a right angle, and is typically marked with a little box. Any angle more than 90 degrees and less than 180 degrees is an obtuse angle. A 180-degree angle is a straight angle and is basically just a line.
Since 29 degrees is less than 90 degrees, we know that the answer is B, an acute angle.
I hope this helps! Have a lovely day!! :)
(also, here is a picture of examples of the different angles)
can someone please help me with #1, -a-b pleaseee
Answer:
A - Isosceles
B - 9
Step-by-step explanation:
(20x - 10)
factor out the 10 so now it is
10(2x - 1)
simplify 20x - 10
The height of a cylinder is 7 inches. another cylinder with the same size base has double the volume. what is the height of the second cylinder? 3.5 in. 7 in. 14 in. 28 in.
Answer:
14
Step-by-step explanation:
Joy is making hand-painted ornaments for
her family this year. Yesterday, she made 2
ornaments in 6 hours. This weekend, she
plans to spend a total of 15 hours making
ornaments.
If Joy works at the same rate, how many
ornaments will she make this weekend?
Answer:
1 ornament per 3 hours
in 15 hours she will have 7.5 of them done
Answer:
5 Ornaments
Step-by-step explanation:
First, we take into account that 24 hours are in one day. We then make the equation 6/24, which tells us that she can make 8 ornaments in 24 hours. That's not the answer we need though.
We will divide 2 by 6 = 0.33
We can take that and multiply it by 15 hours to get 5 ornaments total.
Hope this answer helped u out :D
What is the IQR (interquartile range) of the data set represented? Minimum value = 5 Q1=9.5 Median = 17 Q3=23 Maximum value=28 11 12
13.5
23
Answer:
13.5
Step-by-step explanation:
Q3 - Q1 is the interquartile range
23- 9.5
kindly answer this please
Answer:
See below ~
Step-by-step explanation:
13.
∠2 and ∠5 are adjacent as they lie right next to ∠1C. Angles 2 & 514.
∠5 will form a linear pair as they add up to 180°C. Angle 515.
∠2 = 180° - 70° - 50°∠2 = 60°B. 60°16.
A. ∠RVT and ∠RVUAnswer:
13. C. Angles 2 and 5, becuase adjacent means the angles are touching and right next to each other, and three is too far away and is not buffering up to angle 1.
14. That would be C. angle 5, because linear pair angles are angles that share a line and would add up to 180, in this case only angle 5 does that.
15. B. 60 degrees, to find out angle 2, you first need to know the information that a line=180 degrees, and all three angles share a single line being line TQ. so all you have to do, is add up the angles you know, so 70+50=120, and then subtract them by 180, giving you the remainder that is unkown, in this case being angle 2, so 180-120=60.
16. A. angles RVT and angle RVU, remember, ajacent angles are angles that share a side and buffer each other, in which angles RVT and RVU are the only ones that do that.
From the top of a lighthouse 160 feet above sea level, the angle of depression to a boat
at
sea is 25 degrees. To the nearest foot, what is the horizontal distance from the boat to
the base of the lighthouse?
Answer:
75 feet
Step-by-step explanation:
The perpendicular height from the base of the lighthouse to the top is 160 feet. The angle of depression is the angle that is adjacent to this side. The opposite of this angle is the horizontal distance from the boat to the base of the lighthouse, so we need to use the tangent. tan 25°=x/160, tan 25° is 0.466 so when we multiplty by 160 to find x, we get x=74.56, which rounded up is 75.
Its asking to expand and simplify an expression for the area of this rectangle.
Answer:
4x^2 + 11x - 20
Step-by-step explanation:
area is width X heightmultiply the width (4x - 5) and the height(X + 4)I always imagine a multiplication grid for this kind of problem, with X and +4 at the top and 4x and -5 going down, and then combine termsyou get 4x^2 + 11x - 20Answer:
(4x-5)(x+4)
4x squared- 16x -5x - 204x squared-21x - 20HELP HE:LP HELPPPPPPPPPPp
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(
8
,
−
2
)
Equation Form:
x
=
8
,
y
=
−
2
a grocery gave a 25 discount on all items. if harry bought 248.50 worth of stuff. how much did he pay?
Answer: 186. 375
Step-by-step explanation:
25/100 × 248.50 /1 = 62.125
He paid 248.50 - 62.125
What the area of this shape
Answer: The Answer is 150.
I don't know if this is the right answer
Pat, Jo, Al, and Dan are finalists in a talent contest. How many different ways can Pat, Jo, Al, and Dan finish in first, second, third, and fourth place in the contest?
23 ways
10 ways
24 ways
12 ways
Answer:
24 ways!
Step-by-step
Pat, Jo, Al, Dan
Pat, Al, Dan, Jo
Pat, Dan, Jo, Al
Pat, Jo, Dan, Al
Pat, Al, Jo, Dan
Pat, Dan, Al, Jo List all permutations beginning with Pat.
Jo, Al, Dan, Pat
Jo, Dan, Pat, Al
Jo, Pat, Al, Dan
Jo, Al, Pat, Dan
Jo, Dan, Al, Pat
Jo, Pat, Dan, Al List all permutations beginning with Jo.
Al, Dan, Pat, Jo
Al, Pat, Jo, Dan
Al, Jo, Dan, Pat
Al, Pat, Dan, Jo
Al, Dan Jo, Pat
Al, Jo, Pat, Dan List all permutations beginning with Al.
Dan, Pat, Jo, Al
Dan, Jo, Al, Pat
Dan, Al, Pat, Jo
Dan, Jo, Pat, Al
Dan, Pat, Al, Jo
Dan, Al, Jo, Pat List all permutation beginning with Dan.
There are 24 ways for Pat, Jo, Al, and Dan to finish in first, second, third, and fourth place in the contest.
Using permutations, they are 24 different ways Pat, Jo, Al and Dan finish in first, second, third, and fourth place in the contest.
What is permutations?A permutations is "a mathematical calculations of the number of ways a particular data can be arranged".
According to the question,
Pat, Jo, Al and Dan finish in first, second, third, and fourth place in the contest.
Formula for Permutation [tex]nP[/tex]ₓ = [tex]\frac{n!}{(n-x)!}[/tex] where 'n' number of items set and 'x' is the item taken for Permutation.
In order to find number of ways first, second, third, and fourth place are arrangement or Permutation in the contest.
First, second, third and fourth are four places can be obtained by Pat, Jo, Al and Dan by four position
Formula for permutation P(n , n) = n!. Using this formula P(4,4) = 4!
= 1×2×3×4 =24 ways.
Hence, using permutations, they are 24 different ways Pat, Jo, Al and Dan finish in first, second, third, and fourth place in the contest.
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HELP!!!!!
50 POINTS!
Answer:
true
false
false
false
Step-by-step explanation:
false 0,0 blue dot go right.
3*(2)=6+5 3*(2+5)
Please help
Answer:
6 = 413 is a not true statement
Step-by-step explanation:
I've attached my work below
Hope it helps, Let me know if you have any questions/concerns !
Have a nice rest of your day :)
I need help I don't understand
Answer:
I think it's 6 because there are 6 sides that make up the cube, hopefully I'm right.
Answer:
All the lines put 10 above it
Step-by-step explanation:
All the dimensions (Number of squares) Are equal to ten
Find the distance between the two points in simplest radical form.
(1, -7) and (7,0)
Answer:
The distance between the two given points is equal to √85.
Step-by-step explanation:
Let's recall what the distance formula is:
[tex]\displaystyle \huge\math\boxed{d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2} }[/tex]
We are defined our two points as:
(x₁, y₁) → (1, -7)(x₂, y₂) → (7, 0)We can rewrite this into our different "variables":
x₁ = 1y₁ = -7x₂ = 7y₂ = 0Now given our distance formula and our variables, we can find the distance between the two points:
[tex]\displaystyle\huge\begin{aligned}d & = \sqrt{(1 - 7)^2 + (7 - 0)^2} \\& = \sqrt{(-6)^2 + (7)^2} \\& = \sqrt{36 + 49} \\& = \math\boxed{\sqrt{85}} \\\end{aligned}[/tex]
∴ since the radical is already in its simplest form, our distance between the two points is equal to √85.
Hope this helps!
Can anyone solve this correctly?
Answer:
J. x = 1
Step-by-step explanation:
Write an equation based on the image of the scales.
3x + 6 = 9
Subtract 6.
3x = 3
Divide by 3.
x = 1
If you haven't learned to solve equations yet, the same thought process can be used with the scale image. The scales are balanced. To keep them balanced, remove 6 of the pieces marked "1" from BOTH sides of the scale. Then the scale will have three x's on one side and three "1"'s on the other side. So each x has to be one "1".
help asap please,i don’t get the question
Answer:
see below
Step-by-step explanation:
I do not know what the 'given expression' is, bu the three UN-highlighted expressions in each question 1 and 2 are equivalent
Only the highlighted one is not equiv to the other three
I give 20 points!!!
If I get 50 euros per month, how many months I need to buy a product for 640 euros