Answer:
P(X < 1) = 0.5
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.
Mean of 1 L and standard deviation of 0.05 L.
This means that [tex]\mu = 1, \sigma = 0.05[/tex]
Find P(X < 1).
This is the p-value of Z when X = 1. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1 - 1}{0.05}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a p-value of 0.5. Thus
P(X < 1) = 0.5
) 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
How many lines of symmetry does the symbol for a state capital have?
The solution is:
The figure has 4 lines of symmetry.
- A vertical line through the middle of the figure.
- A horizontal line through the middle of the figure.
- The two diagonals through the figure are lines of symmetry too.
What is line of symmetry?In mathematics, reflection symmetry, line symmetry, mirror symmetry, or mirror-image symmetry is symmetry with respect to a reflection. That is, a figure which does not change upon undergoing a reflection has reflectional symmetry. In 2D there is a line/axis of symmetry, in 3D a plane of symmetry.
here, we have,
Explanation
Lines of symmetry refer to lines that can be drawn on figures and the figure on either sides of the line will be mirror images of each other.
For example, for this figure given, if a vertical line is drawn straight through the middle of the figure, the two resulting figures on either sides of the vertical line will be mirror images of each other.
So, the other lines of symmetry for this include
- A horizontal line through the middle of the figure
- The two diagonals through the figure are lines of symmetry too.
To learn more on line of symmetry click:
https://brainly.com/question/29157578
#SPJ3
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.
Prove that : ⬆️⬆️⬆️
Anyone please solve that question.
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:
Which of the following systems of linear inequalities is represented by the
solution graphed below?
Answer:
please make the drawings cleared
(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]
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.
Use first principal to determine the equation of tangent to f(x)= 3x^2-6 Answer please
Answer:
final answer:
y-1= 3x_6
To solve our given problem, we must find the equation of the tangent line of the function f(x)=(x−1)3, at x=2.
.
.
A sphere has a radius of 7.9 cm. Calculate the spheres volume. Use 3.14 and don't round.
Answer:
[tex]\displaystyle V = 2064.19 \ cm^3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Sphere Formula: [tex]\displaystyle V = \frac{4}{3} \pi r^3[/tex]
r is radiusStep-by-step explanation:
Step 1: Define
Identify variables
r = 7.9 cm
Step 2: Find Volume
Substitute in variables [Volume of a Sphere Formula]: [tex]\displaystyle V = \frac{4}{3}(3.14)(7.9 \ cm)^3[/tex]Evaluate exponents: [tex]\displaystyle V = \frac{4}{3}(3.14)(493.039 \ cm^3)[/tex]Multiply: [tex]\displaystyle V = 2064.19 \ cm^3[/tex]PLEASE HELP!
I have this question worth 20 points if you can answer it. Go to my questions and it's the one before this.
Which expression should you simplify to find the 90% confidence interval, given a sample of 90 people with a sample proportion of 0.25? O A. 0.25 +90 0.25(1-0.25) 1.645 OB. 0.25 + 1.645-0.25 90 O C. 0.25 +1.645 0.25(1-0.25) 90 O D. 0.25 +1.645. V0.25(1–0.25) 90 SUBMIT
Answer:
Option c:
[tex]0.25 \pm 1.645\sqrt{\frac{0.25*(1-0.25)}{90}}[/tex]
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
For this problem, we have that:
You have access to first year enrolment records and you decide to randomly sample 119 of those records. You find that 89 of those sampled went on to complete their degree. This means that [tex]n = 119, \pi = \frac{89}{119} = 0.7478[/tex].
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
Sample of 90 people with a sample proportion of 0.25
This means that [tex]n = 90, p = 0.25[/tex].
Confidence interval:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.25 \pm 1.645\sqrt{\frac{0.25*(1-0.25)}{90}}[/tex]
Which is option c.
PLZ HELP ASAP !! WILL MARK THE BRAINLYIST !!!
Solve for X
A) 40
B) 42
C) 45
D) 38
Answer:
C : 45
Step-by-step explanation:
Have a nice day :)
Calculate the rate of change for the following data
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?
rewrite 2/7 and 1/4 so they have a common denominator
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
Amos bought 5 cantaloupes for $8. How many cantaloupes can he buy for $24?
Express the product of (1/2x - 5/3) and (1/2x-1) as a trinomial in simplest form.
[tex]\longrightarrow{\green{ \frac{ {x}^{2} }{4} - \frac{4x}{3} + \frac{5}{3} }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]( \frac{1}{2} x - \frac{5}{3} ) \times ( \frac{1}{2} x - 1) \\ \\ = \frac{1}{2} x \: ( \frac{1}{2} x - 1) - \frac{5}{3} \: ( \frac{1}{2} x - 1) \\ \\ = \frac{ {x}^{2} }{4} - \frac{x}{2} - \frac{5x}{6} + \frac{5}{3} \\ \\ = \frac{ {x}^{2} \times 3 }{4 \times 3} - \frac{x \times 6}{2 \times 6} - \frac{5x \times 2}{6 \times 2} + \frac{5 \times 4}{3 \times 4} \\\\ = \frac{3 {x}^{2} - 6x - 10x + 20}{12} \\ \\ = \frac{3 {x}^{2} - 16x + 20 }{12} \\\\= \frac{ {x}^{2} }{4} - \frac{4x}{3} + \frac{5}{3} [/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
HELP WILL GIVE BRAINLIEST TO CORRECT ANSWER
can consider the polygon shown. determine the value of y
Answer:
64
Step-by-step explanation:
You can figure it out by adding all the interior angles.
(180-75=105º)
(180-67=113º)
105+113+90=308º
The sum of interior angles is (n-2) × 180 so the sum in his case is
(5-2) ×180=540º
540º-308º=232º
However that is the sum of the two angles but since the angles are the same size, we can divide by 2
232º÷2=116º
We must remember that this is an interior angle so we now can calculate the value of y
180º-116º=64º
The variance in a production process is an important measure of the quality of the process. A large variance often signals an opportunity for improvement in the process by finding ways to reduce the process variance.Machine 12.953.453.503.753.483.263.333.203.163.203.223.383.903.363.253.283.203.222.983.453.703.343.183.353.12 Machine 23.223.303.343.283.293.253.303.273.393.343.353.193.353.053.363.283.303.283.303.203.163.33Conduct a statistical test to determine whether there is a significant difference between the variances in the bag weights for two machines. Use a 0.05 level of significance. What is your conclusion
Answer:
there is significant difference bag weights for two machines
Step-by-step explanation:
Given the data :
Machine 1: 2.95 3.45 3.50 3.75 3.48 3.26 3.33 3.20 3.16 3.20 3.22 3.38 3.90 3.36 3.25 3.28 3.20 3.22 2.98 3.45 3.70 3.34 3.18 3.35 3.12
Machine 2: 3.22 3.30 3.34 3.28 3.29 3.25 3.30 3.27 3.39 3.34 3.35 3.19 3.35 3.05 3.36 3.28 3.30 3.28 3.30 3.20 3.16 3.33
Hypothesis:
H0 : σ1² = σ2²
H1 : σ1² ≠ σ2²
Using calculator, we can obtain the standard deviation of machine 1 and 2 :
Machine 1 : s1 = 0.2211
Machine 2 : s2 = 0.0774
Using the Fratio:
F test = s1² / s2² = 0.2211² / 0.0774² = 8.16
Sample size, n1 = 25 ; n2 = 22
Degree of freedom, n1 - 1 = 25 - 1 = 24 ; n2 - 1 = 22 - 1 = 21
The Pvalue Using the Pvalue from Ftest calculator :
Pvalue < 0.00001
Since Pvalue < α ; We reject the Null and conclude that ; there is significant difference in the bag weights for two machines at 0.05
The quotient of 4/1/2
Answer:
the quotient is 2
Step-by-step explanation:
4/1=4
4/2=2
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
What would the next figure in the geometric pattern below be?
Answer:
C.
Step-by-step explanation:
If x) = -3x - 5 and g(x) = 4x - 2, find (f + g)(x).
A. (1+ g)(x) = -x + 3
B. (1+0)(x) = x - 7
C. (1+ g)(x) = 7x - 7
D. (1+)(x) = -7x-3
Answer:
(f + g)(x) = x - 7 (Answer B)
Step-by-step explanation:
To find (f + g)(x) add together the like terms of f(x) and g(x):
(f + g)(x) = -3x - 5 + 4x - 2, or
(f + g)(x) = x - 7 (Answer B)
XA
Question 4 of 10
Is the following shape a rectangle? How do you know?
.
A. Yes, the adjacent sides are perpendicular, and the opposite sides
are parallel
B. No, the adjacent sides are not perpanglicular.
C. No, the opposite sides are not parallel
D. There is not enough information to determine
The answer is C. No, the adjacent sides are not perpendicular.
Hope ths helpsFrom Cambridge
Answer
D is the correct answer.
Reason
it is so because rectangle has adjacent perpendicular parallel sides with opposite sides equal
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
(1/2)5 standard form
Answer:
[tex]\frac{5}{2}[/tex] or 2.5
Hope that this helps!
There is a bag filled with 3 blue and 4 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 blues?
3 of 7 and the chances of getting red is 4 of 7
Step-by-step explanation:
====================================================
Explanation:
The fraction 3/7 represents the probability of picking a blue marble since there are 3 blues out of 3+4 = 7 total.
Because the first marble is put back, this means the probability of picking blue does not change. So 3/7 is the probability of picking another blue marble.
Overall, we have (3/7)*(3/7) = 9/49 as the probability of picking two blues in a row.
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
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