Answer:
Wyatt must get a score of 150 on Exam B in order to do equivalently well as he did on Exam A.
Step-by-step explanation:
Let's calculate the test statistic of each score based on the mean and standard deviation of each test.
This statistic will show us how far from the mean, measured in standard deviations, Wyatt's test score is.
The formula for the test statistic is:
[tex]\displaystyle Z = \frac{x- \mu}{\sigma}[/tex] x = observed value[tex]\mu[/tex] is the population mean [tex]\sigma[/tex] is the population standard deviationLet's calculate the test statistic for each test.
Exam A:
[tex]\displaystyle Z = \frac{45-35}{5} = \frac{10}{5}= 2[/tex]Exam B:
[tex]\displaystyle Z = \frac{x-100}{25}[/tex]Since we want the test statistic to be the same for both exam A and exam B, let Z = 2 and solve for x for Exam B.
[tex]\displaystyle 2 = \frac{x-100}{25} \\ 50 = x - 100 \\ x = 150[/tex]Wyatt must get a score of 150 on Exam B in order to do equivalently well as he did on Exam A. This score means that Wyatt is 2 standard deviations from the mean score on Exam B as he scored on Exam A.
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
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]
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!
HELP 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
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
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
Find the sum of 6x^2+10x-16x 2 +10x−1 and -5x^2-2x+1−5x^2 −2x+1.
Answer:
-21x² + 8x + 2
Step-by-step explanation:
Addition of two polynomials:
Like terms have same variable with same power. Combine like terms.
(-16x² & -5x² are like terms ; 10x and (-2x) are like terms ; (1 and 1 are constants)
-16x² + 10x + 1 + (-5x² - 2x + 1) = -16x² + 10x + 1 -5x² - 2x + 1
= -16x² - 5x² + 10x - 2x + 1 + 1
= -21x² + 8x + 2
[tex](6x^2+10x-1) +(-5x^2-2x+1)\\\\=6x^2+10x-1-5x^2-2x+1\\\\=x^2+8x[/tex]
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.
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)
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 :)
Brian can't decide which of three shirts he should wear to a party he could closes eyes and randomly pick a shirt or he could put the three shirts in a bag and then remove one either way the selection is not random Brian may end up making a biased choice in this activity you will find the probability of event using a simulation. Can you use playing cards to simulate the situation? explain
Answer:
Do know sorry I can help but maby
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]
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
Learn more on intercepts here: https://brainly.com/question/24990033
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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 =)
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.
:)
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
Type the correct answer in the box. Write your answer as a fraction, using / for the fraction bar. A jar of alphabet tiles contains 10 unique consonant tiles and 5 unique vowel tiles. If 5 tiles are picked randomly, the probability that 3 are consonants and 2 are vowels is .
Answer:
its the only way to get the monkey out of the cage
Step-by-step explanation:
u gave to free the monkes
Phoebe works for a company that advertised an annual increase
of 5% to an employee's hourly pay. When Phoebe went to sign
her contract with the company, she noticed that her boss had
indicated that she would receive an annual increase of
$0.75 per hour. please help its for a test
Based on the annual percentage increase and the actual amount, the wage rate per hour at Phoebe's job is $15 per hour.
What is Phoebe paid per hour?The company gives an increase of 5% on the hourly wage per hour and this amount comes out to be $0.75.
The wage rate per hour is therefore:
= Actual increase amount / Percentage increase
Solving gives:
= 0.75 / 5%
= $15 per hour
Find out more on wages per hour at https://brainly.com/question/25863464.
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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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 - 20kindly 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.
What the area of this shape
Answer: The Answer is 150.
I don't know if this is the right answer
Help Meeee Please. I don’t understand
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.
Learn more about Permutation here
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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
2. Find the sum of the geometric series.
Answer:
324
Step-by-step explanation:
** The attachment shows an arithmetic sequence **
Sum of Arithmetic Series formula
[tex]S_n=\dfrac12n(a+l)[/tex]
where:
a = initial terml = last term[tex]a_n=2n-1[/tex]
[tex]\implies a_1=2(1)-1=1[/tex]
[tex]\implies a_{18}=2(18)-1=35[/tex]
[tex]\implies S_{18}=\dfrac12(18)(1+35)=324[/tex]
[tex]\\ \rm\Rrightarrow \sum^{18}_{n=1}2n-1[/tex]
[tex]\\ \rm\Rrightarrow 2(1)-1+2(2)-1\dots+2(18)-1[/tex]
a=2-1=1a_18=l=36-1=35So
[tex]\\ \rm\Rrightarrow S_n=\dfrac{n(a+l)}{2}[/tex]
[tex]\\ \rm\Rrightarrow S_n=\dfrac{18(1+35)}{2}=9(36)=324[/tex]
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".
Marisa has 26 pokémon cards. Marisa claims that she will have 146 or more pokémon cards after she receives her shipment of 8 packs of cards. How many cards must be in each pack so that Marissa’s statement is true?
Answer:
26 + 8x.x = 15.Step-by-step explanation:
Marise has 26 pokemon cards. Marisa claims that he will have 146 or more cards after she receives her shipment of 8 packs of cards.
So, we have to make a unknown value on 8.
8x.Now, we have to find out that unknown value:
26 + 8x= 26 + 8(15)= 26 + 120= 146.x = 15.There will be 15 cards in Marisa's 8 boxes.
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.
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:
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