Answer:
The upper 20% of the weighs are weights of at least X, which is [tex]X = 0.84\sigma + \mu[/tex], in which [tex]\sigma[/tex] is the standard deviation of all weights and [tex]\mu[/tex] is the mean.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Upper 20% of weights:
The upper 20% of the weighs are weighs of at least X, which is found when Z has a p-value of 0.8. So X when Z = 0.84. Then
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.84 = \frac{X - \mu}{\sigma}[/tex]
[tex]X = 0.84\sigma + \mu[/tex]
The upper 20% of the weighs are weights of at least X, which is [tex]X = 0.84\sigma + \mu[/tex], in which [tex]\sigma[/tex] is the standard deviation of all weights and [tex]\mu[/tex] is the mean.
Christian Robbie are construction arytenoids stained glass window whose length is 7.3 inches longer than its width if the area of the window is 596.9 in.² find the width and the length
Answer:
w ≈ 21.053 inches
l ≈ 28.353 inches
Step-by-step explanation:
Steve earns extra money babysitting. He charges $37.00 for 4 hours and $64.75 for 7 hours. Let x represent the number of hours Steve babysits and y represent the amount he charges
Answer:$6.25
Step-by-step explanation:we have that
x------------------> represent the number of hours Steven babysits
y----------------- > represent the amount he charges
for x=6 hours
y=$37.50 ----------------> y/x=37.5/6=6.25
for x=8 hours
y=$50---------------------> y/x=50/8=6.25
therefore
y=6.25x
Given the statement 11^(n -6) is divisible by 5 for every positive integer n. What must be shown in the induction step?
Answer:
Proved
Step-by-step explanation:
The given data is:
[tex]11^n - 6[/tex] not [tex]11^{n - 6[/tex]
Required
Prove by induction that it is divisible by 5
Assume [tex]n = k[/tex]
So, we have:
[tex]11^k - 6 = 5p[/tex] where p is a positive digit
Rewrite as:
[tex]11^k = 5p + 6[/tex]
To solve further, we have to prove that [tex]11^k - 6[/tex] is true for [tex]n=k+1[/tex]
So, we have:
[tex]11^{k+1} - 6[/tex]
[tex]11^{k+1} - 6 = 11^k * 11 - 6[/tex]
Add 0
[tex]11^{k+1} - 6 = 11^k * 11 - 6 + 0[/tex]
Replace 0 with [tex]-5 +5[/tex]
[tex]11^{k+1} - 6 = 11^k * 11 - 6 - 5 + 5[/tex]
[tex]11^{k+1} - 6 = 11^k * 11 - 11- 5[/tex]
Factorize
[tex]11^{k+1} - 6 = 11 (11^k - 1)- 5[/tex]
Substitute [tex]11^k = 5p + 6[/tex]
[tex]11^{k+1} - 6 = 11 (5p + 6- 1)- 5[/tex]
[tex]11^{k+1} - 6 = 11 (5p + 5)- 5[/tex]
Factorize
[tex]11^{k+1} - 6 = 11 *5(p + 1)- 5[/tex]
Factorize
[tex]11^{k+1} - 6 = 5[11(p + 1)- 1][/tex]
The 5 outside the bracket implies that it is divisible by 5
There are 10 boys and 13 girls in Mr. Benson's fourth-grade class and 12
boys and 11 girls in Mr. Johnson fourth-grade class. A picnic committee
of six people is selected at random from the total group of students in both
clasties.
(a) What is the probability that all the committee members are girls?
(b) What is the probability that the committee has three girls and three
boys?
Shift parabolas
f(2)=z²
g(x) = (x+4)^2 - 1
We can think of g as a translated (shifted) version of fi
Complete the description of the transformation.
Use nonnegative numbers.
To get the function g, shift f up/down
by
units and to the right/left
by
units.
Determine the number of solutions for the system 2x+3y=5 and -9y=6x-15
9514 1404 393
Answer:
infinite number of solutions
Step-by-step explanation:
The two equations describe the same line.
Adding 9y+15 to the second equation makes it be ...
15 = 6x +9y
Dividing that by 3 gives you ...
5 = 2x +3y . . . . . . identical to the first equation
The lines intersect at every point, so there are an infinite number of solutions.
A computer store buys a computer system at a cost of $450.20. The selling price was first at $710, but then the store
advertised a 30% markdown on the system. What is the current sale price? What is the percent mark up on the current sale
price?
Answer:
i believe it is 497 after the 30% mark down
Step-by-step explanation:
i subtracted 30% from 710
4. How many days of selling bicycles is involved in the study?
b. 40
c. 35
d. 10
a. 45
x[tex]x^{2}-8x+14=2x-7[/tex]
Answer:
[tex]x = 3\ or\ x = 7[/tex]
Step-by-step explanation:
Given
[tex]x^{2}-8x+14=2x-7[/tex]
Required
Solve
Equate to 0
[tex]x^{2}-8x-2x+14+7=0[/tex]
[tex]x^{2}-10x+21=0[/tex]
Expand
[tex]x^{2}-7x-3x+21=0[/tex]
Factorize
[tex]x(x-7)-3(x-7)=0[/tex]
Factor out x - 7
[tex](x-3)(x-7)=0[/tex]
Split
[tex]x - 3 = 0\ \ x - 7 = 0[/tex]
Solve
[tex]x = 3\ or\ x = 7[/tex]
Select all that apply.
A spinner is divided into 4 equal sections. Which of the following are true?
The experimental probability is for each section.
If the spinner is spun 64 times, you would predict it to land on each section 16 times.
The spinner will land on each section of the spinner an equal number of times.
The theoretical probability is 25% for each section.
Multiple choice!!!
Answer:
(B) If the spinner is spun 64 times, you would predict it to land on each section 16 times.
&
(D) The theoretical probability is 25% for each section.
I got this question right
(Right angle) Trigonometry
Help me find the X value please! Explain what you did to get the answer aswell
Answer:
[tex]x\approx 7.88[/tex]
Step-by-step explanation:
Since we are given the angle and the hypotenuse and we want to find the side opposite to the angle, we can use the sine ratio. Recall that:
[tex]\displaystyle \sin\theta^\circ =\frac{\text{opposite}}{\text{hypotenuse}}[/tex]
Substitute:
[tex]\displaystyle \sin21=\frac{x}{22}[/tex]
Solve for x:
[tex]x=22\sin 21[/tex]
Use a calculator (make sure you're in Degrees mode!):
[tex]x\approx 7.88[/tex]
) A desk organizer sells for $35, which includes a markup rate of 60% based on the selling price.
a. Find the markup.
b. Find the cost.
Answer: a. $21
b. $14
Step-by-step explanation:
Selling price of desk organizer = $35
Markup rate = 60%
a. The markup will be:
= Markup rate × Selling price
= 60% × $35
= 0.6 × $35
= $21
Therefore, the markup is $21
b. The cost will then be:
Cost price = Selling price - Markup
= $35 - $21
= $14
In each diagram, abc is a straight line. Find the unknown angles.
Answer:
The value of ∠b = 180°
Step-by-step explanation:
Given that;
ABC is a straight line
Another angle is 137°
Find:
The value of ∠a
The value of ∠b
Computation:
We know that, ABC is a straight line
So,
137 + The value of ∠a = 180
The value of ∠a = 180 - 137
The value of ∠a = 43°
The value of ∠b = 360 - 137 - The value of ∠a
The value of ∠b = 360 - 137 - 43
The value of ∠b = 180°
Only answer if you're very good at Math.
Given f(x) = x + 1 and g(x) = x^2, what is ( g o f) (x)?
A: ( g o f) (x) = x^2 + 1
B: ( g o f) ( x) = ( x + 1)^2
C: ( g o f) (x) = x^2 + x + 1
D: ( g o f) ( x) = x^2 ( x + 1)
Answer:
Solution given:
f(x) = x +1 and g(x) = x²,
now
(gºf)(x) =g(fx)=g(x+1)=(x+1)²
B) (gºf)(x) = (x + 1)^2
Someone help me please
Square root of 121
Evaluate this expression for x=-5 and y=-5
Answer:
[tex]x - 2y=5[/tex]
Step-by-step explanation:
Given
[tex]x = -5; y=-5[/tex]
[tex]x - 2y[/tex] --- missing from question
Required
Evaluate
We have:
[tex]x - 2y[/tex]
Substitute for x and y
[tex]x - 2y=-5 - 2*-5[/tex]
[tex]x - 2y=-5 +10[/tex]
[tex]x - 2y=5[/tex]
which statement is true?
Answer:
A. The slope of Function A is greater than the slope of Function B.
Step-by-step explanation:
The slope of a function can be defined as rise/run. In Function A, the rise/run is 4. The slope in Function B is much easier to see: it is 2. Because 4 is greater than 2, Function A has a greater slope than Function B.
please please help me please I really need help please
A marching band has 64 members. The band director wants to arrange the band members into a square formation. How many band members will be in each row?
A. 8
B. 7
C. 6
D. 5
Answer:
A. 8
Step-by-step explanation:
sqrt{64} is 8 (8*8)
Answer:
8
Step-by-step explanation:
There are 8 members in each row
Find the quotient for 12 2/5 ÷ 1/4
ASAP Pls!!!
Answer:
[tex]49\frac{3}{5}[/tex]
Step-by-step explanation:
Answer:
49 3/5
Step-by-step explanation:
First, convert 12 2/5 into an improper fraction. You should get 62/5. We know that dividing fractions is the same thing as multiplying by the other fraction's reciprical (flip). So, 62/5 divided by 1/4 is the same thing as 62/5*4/1 (4). Lastly multiply straight across to get 248/5. Simplify to get 49 3/5.
Hope this helps
The quotient of 4/1/2
Answer:
the quotient is 2
Step-by-step explanation:
4/1=4
4/2=2
a + b = 300 pls help i cant find out the answer
Answer:
a= 250
b= 50
250 + 50 = 300
Step-by-step explanation:
There's many solutions but this was the first one I could come up with.
Answer:
my opinion is seince a+b=300 then the sqaure of 300= 17.3?
Step-by-step explanation:
5(x+2)-4 = 13-7(x+1)
Answer:
0
Step-by-step explanation:
5x+10-4=13-7x-7
5x+6=6-7x
5x+0= -7x
0=-12x
Divide and u get x=0
g^2+2g-48=0
g=
Use a comma to separate answers as needed
Answer:
g = -8, 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
QuadraticsFactoringMultiple RootsStep-by-step explanation:
Step 1: Define
Identify
g² + 2g - 48 = 0
Step 2: Solve for g
Factor: (g + 8)(g - 6) = 0Find roots: g = -8, 6Look Below. (Will give brianliest)
Answer:
what is your question friend? :)
(1/2)5 standard form
Answer:
[tex]\frac{5}{2}[/tex] or 2.5
Hope that this helps!
The sum of two numbers is 45 and their difference is 7. Find the numbers. *
the sum of two numbers that is 45 and their difference is 7 it is 39 and 6 more like 39+6
PLEASE LOOK BELOW!!! (Will give Brainliest)
No links and pls explain!!!!
Answer:
20 = x
Step-by-step explanation:
All interiror angles in this triangle will equal 180
Set your formula up as 180 = x+5+7x-5+x then solve for x
180 = x+5+7x-5+x
180 = x + 7x + x +5 - 5
180 - 5 + 5 = 9x
180 = 9x
180 / 9 = x
20 = x
You can check your result by pluging in 20 for all x
180 = 20+5+7*20-5+20
180 = 180
Snail A moved 6 feet in 7 hours. Snail B moved 7 feet in 8 hours. Both snails moved at constant speeds. Which snail went faster?
Answer:
since .875 > .857 Snail B is moving faster
Step-by-step explanation:
divide 6 by 7 to get the number of feet in one hour for Snail A
7 into 6 is .857
divide 7 by 8 to get the number of feet in one hour for Snail B
8 into 7 is .875
I believe the answer to this is:
Snail B went faster than Snail A.
Hope this helps! :D
How many solutions are there for the system of equations shown on the graph?
A coordinate plane is shown with two lines graphed. One line crosses the y axis at 3 and has a slope of negative 1. The other line crosses the y axis at 3 and has a slope of two thirds.
No solution
One solution
Two solutions
Infinitely many solutions
It takes Alice 90 minutes to put a futon frame together, and it takes Maya 60 minutes to put the same
type of frame together. If they worked together, how long would it take to put a frame together?
Answer:
36 minutes
Step-by-step explanation:
The equation to determine the time together is
1/a + 1/b = 1/c where a and b are the times alone and c is the time together
1/90 + 1/ 60 = 1/c
Multiply each side by 180c to clear the fractions
180c( 1/90 + 1/ 60 = 1/c)
2c + 3c = 180
5c = 180
Divide each side by 5
5c/5 = 180/5
c =36