Answer:
Stephanie runs the fastest.
Step-by-step explanation:
Answer:
noah
Step-by-step explanation:
The amount of time a certain brand of light bulb lasts is normally distributed with a mean of 1400 hours and a standard deviation of 75 hours. What is the probability that a randomly chosen light bulb will last less than 1380 hours, to the nearest thousandth?
Answer:
0.394 = 39.4% probability that a randomly chosen light bulb will last less than 1380 hours
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 1400, \sigma = 75[/tex]
What is the probability that a randomly chosen light bulb will last less than 1380 hours, to the nearest thousandth?
This is the pvalue of Z when X = 1380. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1380 - 1400}{75}[/tex]
[tex]Z = -0.27[/tex]
[tex]Z = -0.27[/tex] has a pvalue of 0.394
0.394 = 39.4% probability that a randomly chosen light bulb will last less than 1380 hours
16. Each of a group of sealed opaque envelopes contains eight bills. One envelope contains eight $1 bills, one envelope contains eight $5 bills, and one envelope contains four $1 bills and four $5 bills. An envelope is selected at random, and a bill is taken from the envelope at random. If it is a $5 bill, what is the probability that the rest of the bills in the envelope are also $5 bills
Answer:
probability = 1/2
Step-by-step explanation:
Ok probability is the possibility of something happening.
So let's check the chance of $5 appearing according to how it appeared before.
4 envelopes are opened and 8 bills are inside . So total bills are 32 bills
Out of 24 bills 12 are 1$ bill
12 are $ 5 bill.
So it's a fifty fifty chance.
So the probability is 1/2
What is the length of AC? PLEASE HELP ASAP WILL GIVE BRAINLIEST TY
Answer:
2.33 units
Step-by-step explanation:
[tex]\tan 25\degree =\frac{AC}{5}\\\\0.46630 = \frac{AC}{5}\\\\AC = 0.46630 \times 5\\AC =2.3315\\AC = 2.33 \: units[/tex]
(1 point) The volume of the solid obtained by rotating the region enclosed by x=2y,y3=x(with y≥0) about the y-axis can be computed using the method of disks or washers via an integral V=∫ba ? with limits of integration a= and b= . The volume is V= cubic units. Note: You can earn full credit if the last question is correct and all other questions are either blank or correct.
[tex]x=2y[/tex] and [tex]x=y^3[/tex] intersect when
[tex]2y=y^3\implies y^3-2y=y(y^2-2)=y(y-\sqrt2)(y+\sqrt2)=0[/tex]
[tex]\implies y=0\text{ or }y=\sqrt2\text{ or }y=-\sqrt2[/tex]
We omit the negative root, since we only care for [tex]y\ge0[/tex].
In the interval (0, √2), we have [tex]y^3<2y[/tex]. Then the volume is given by the integral
[tex]\displaystyle\pi\int_0^{\sqrt2}(2y)^2-(y^3)^2\,\mathrm dy=\pi\int_0^{\sqrt2}4y^2-y^6\,\mathrm dy[/tex]
and so the volume is (32√2)/21 π.
if you know the area How would you find the diameter of a circle?
Step-by-step explanation:
formular of area circle = pi*
[tex] {? \\ radius}^{2} [/tex]
=> radius =
[tex] \sqrt{area \div pi } [/tex]
diameter = 2* radius.hope this help
PLEASE HELP WHEN YOU SEE THIS
Answer:
~ m∠1 = 35 degrees ( ° ) ~
Step-by-step explanation:
1. This pair of intersecting lines form four pairs of supplementary angles, which may be one approach to this problem.
2. This first pair includes the 145 degree angle, which we may assign as 4, and angle 1, the second being 2 and 1, 2 and 3, and 3 and 145 degrees.
3. If we were to consider the first pair of supplementary angles, it would be that 145 + m∠ 1 = 180, or ⇒ m∠1 = 180 - 145 = 35 degrees ( ° )
4. To confirm that this is the right answer, let us prove that with this measure of ∠1 the intersecting lines = 360 degrees, as after all they form a circle.
5. By Vertical Angles Theorem: m∠2 = m∠4, and m∠3 = m∠1
6. It is provided that m∠4 = 145 degrees ( ° ) and m∠1 = 35 degrees ( ° ). Given such let us substitute these values into Step #5, as such ⇒ m∠2 = 145°, and m∠3 = 35°
7. The sum of the angles are known to 360 degrees, as provided previously, such that m∠1 + m∠2 + m∠3 + m∠4 = 360°, ⇒ 35 + 145 + 35 + 145 = 360, ⇒ 360 = 360
8. This proves that the m∠1 = 35 degrees ( ° )
What is the probability of flipping a coin three times and getting either all heads or all tails?
Answer:
12.5 %
Step-by-step explanation:
Each time you probability of flipping one side is 50%, so when you do this three times (I think of x^3), your probability is going to be 0.5 * 0.5 * 0.5, or 12.5%
please hurry!! 34 + 3 ⋅ 5 = ____. (Input only whole numbers.) Numerical Answers Expected! Answer for Blank 1:
Answer:
49
Step-by-step explanation:
First multiply 3 x 5.Which will give you 15.Then add 34 and 15 which will give you 49.
Answer:
49
Step-by-step explanation:
3 x 5 = 15
15+34 = 49
Joanie has $14. Then she got $23 for her birthday. Later she spend $5 on a book. Which number sentence can be used to find m, the amount of money Joanie has now?
A.
14+23-5=m
B.
14+23+5=m
C.
23-14+5=m
D.
23-14-5=m
Answer A
Step-by-step explanation:14+23-5
help me plss to find the area
Answer:
A=88 square units
Step-by-step explanation:
A=B x H
A= 11 x 8
A=88 square units
Plz help
What does “|” mean in mathematical term
Thanks
Answer:
Step-by-step explanation:
If you meant " | ", as in |x|, that's "absolute value." The domain of this function is "all real numbers," and the range is "all real numbers zero or greater."
Parallel lines r and s are cut by two transversals, parallel lines t and u. Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of u and r, 13, 14, 15, 16. Which angles are corresponding angles with angle 8? Angle4 and Angle12 Angle2 and Angle10 Angle6 and Angle14 Angle3 and Angle9
Answer:
Angle 6 and Angle 13
Step-by-step explanation:
Because they are both parallel.
And they intersect at a given line.
Also cut by two transversals.
The angles that are corresponding angles with angle 8 are; Angles 6 and 14
How to find corresponding angles?
Corresponding angles are defined as the angles that are formed when two parallel lines are intersected by the transversal. This means that they are on the same side of the transverse line.
Now, from the given description and from the image of the line diagram shown in the brainly link attached, we can say that the angles that are corresponding to angle 8 are;
angles 6, 14, 16.
Thus, we conclude by saying that looking at the options, the ones that correspond to angle 8 are angle 6 and angle 14.
Read more about Corresponding angles at; https://brainly.com/question/20907188
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If y= 1/4x and x = -12, find y.
Answer:
y = -3
Step-by-step explanation:
y= 1/4x and x = -12
Substitute x=12 into the first equation
y = 1/4(-12)
y = -3
Answer:
-3
Step-by-step explanation:
1/4 x -12
If f(x) and f-1 (x)
are inverse functions of each other and f(x) = 2x+5, what is f-1 (8)?
Answer:
For this case we have the following function:
f (x) = 2x + 5
Clearing x we have:
2x = y - 5
x = (y-5) / 2
Rewriting:
f (x) ^ - 1 = (x-5) / 2
Evaluating x = 8:
f (8) ^ - 1 = (8-5) / 2
f (8) ^ - 1 = 3/2
Answer:
f (8) ^ - 1 = 3/2
option 2
Answer:
3/2 B
Step-by-step explanation:
Edge
Brainliest for anyone if they get this CORRECT.
answer is D7/2
hope it helps!!!!!!!!!!!!!!!!!!!!!!
Which image below is an equilateral triangle?
Answer:A. is the equilateral triangle because all sides are equal
Step-by-step explanation:
What is the midline equation of the function h(x) = 5 sin(4.x– 2) – 3?
y=
Answer:
y = -3
Step-by-step explanation:
The midline value is the added constant, -3. The equation for the line is ...
y = -3
Differentiate the function:
y=x^3+2x-1
Answer:
y' = 3x² + 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationCalculus
Derivatives
Derivative Notation
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
Identify
y = x³ + 2x - 1
Step 2: Differentiate
Basic Power Rule: y' = 3x³⁻¹ + 1 · 2x¹⁻¹ - 0Simplify: y' = 3x² + 2Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
1/8 cups + what ? Makes 1 1/3 cups
Answer:
1 5/24 cups
Step-by-step explanation:
Please help asap! Will give brainliest! Please read the question then answer correctly! No guessing.
Answer: C
Step-by-step explanation:
[tex]x^2+4x-21\\(x+7)(x-3)[/tex]
Answer: The correct answer is C.
Step-by-step explanation: If you factor the equation using the AC method, you will get this answer. Multiply A by C. For example, you would multiply 4 by 5 to get 20. List the factors of your answer from step two. That is, list pairs of numbers that you could multiply to come up with that answer. For instance, in the case of 20, you would have the following factors: (1, 20), (2, 10), (4, 5).
Find a pair of numbers among the factors that adds up to the B term in the equation. For this example, you must find a pair that adds up to 9. Therefore, you would isolate the pair (4, 5).
Replace the middle term (the B term) with the two numbers from the pair, along with the original variable that went with the B term. For example, you would write: 4x^2 + (4+5)x + 5 = 4x^2 + 4x + 5x + 5.
Group the first two terms and the last two terms together as such: (4x^2 + 4x) + (5x + 5).
Simplify the equation by finding terms that are common for each side. For instance, you would simplify (4x^2 + 4x) + (5x + 5) to 4x(x + 1) + 5 (x + 1). This would further simplify to (4x + 5) (x + 1).
Max wants to purchase a wall hanging. He is choosing between one shaped like a trapezoid and one shaped like a kite. He will choose the wall hanging with the greater area. Which wall hanging will Max choose?
Answer:
Max will choose the wall hanging that is shaped like a trapezoid.
Step-by-step explanation:
To find the area of the trapezoid, break it into a triangle and another trapezoid. Use the formula for the area of a triangle (A=base*height*1/2) and the formula for the area of a trapezoid (A=base+base*height*1/2). The area of the trapezoid is 672 square centimeters.
To find the area of the kite, break it into two identical triangles. (There's a horizontal line between them.) Use the formula for the area of a triangle for both, then add the two areas. The area of the kite is 648 square centimeters.
Finally, we know that 672>648. Therefore, Max will choose the wall hanging that is shaped like a trapezoid.
Hope this helps! Tell me if you have any other questions:)
Answer:trapezoid
Step-by-step explanation:
someone please help me this is the only question stopping me from graduatin class 2020
Answer:
EF = 3.43
Step-by-step explanation:
Sin θ = opposite / hypotenuse
Sin 26 = EF / 4.5
0.762 × 4.5 = EF
EF = 3.43
A particular restaurant can legally have only 150 people in itat one ime. The tables in the restaurant can seat 4 people at a time. The number
tables t in the restaurant can be represented by the inequality 4< 150. What is the maximum number of tables the restaurant can have?
Answer:
37
Step-by-step explanation:
4t< 150 Divide both sides by 4
t< 37.5
Since it wants the maximum number of tables, and tables are a whole number, the largest is 37. 38 is to many because it would surpass the maximum number of people allowed in a restaurant so 37 tables is the max without surpassing the occupancy level.
Answer:
37
Step-by-step explanation:
No of people that can be seated is 150
I tables seats 4 persons
Therefore 150 people requires 150/4 tables
150/4=37.5
The number of tables are 37
There are 14math teachers and 26 science teachers at school today. What is the ratio of math teachers to math and science teachers at school?
It's basically asking "what is the ratio of math teachers to total teachers?" assuming there are only math and science teachers at this school. For the sake of simplicity, let's just go with that. We have 14 math teachers and 14+26 = 40 teachers total. The ratio of math to total is 14:40 which reduces to 7:20 when we divide both parts of the ratio by the GCF 2.
Answer: 7: 13
The ratio would be 14: 26, however you are most likely asked to simplify it. Which is why the answer would be 7: 13
I hope this helped! :DD
Find the area of the shape
with the radius of 10
Answer: 314.16
Step-by-step explanation: To find the area of a circle you have to square the radius then multiply by pi. 10 squared is 100 then multiplied by pi is 314.16 (rounded to the nearest hundredth).
g(t) = 6t - 1
g ( ) = -7
Answer:
g(-1) = -7
Step-by-step explanation:
Put the given value for g(t) into the first equation and solve for t.
-7 = 6t -1
-6 = 6t . . . . . . add 1
-1 = t . . . . . . . . divide by 6
g(-1) = -7
Answer: -1
Step-by-step explanation:
The vertex of the graph of f(x) = (x - 3| + 6 is located at
Answer:
The answer is The vertex of the graph of f(x) = |x – 3| + 6 is located at (3,6)
3
and
6
Step-by-step explanation:
Vertex of graph located at (3,6)
What is vertex?A mathematical object's vertex is a special point where two or more lines or edges typically meet. Angles, polygons, and graphs are the most common examples of vertices.
Given equation f(x) = |x - 3| +6
after simplifying there will be two equations they are
y = x - 3 + 6 = x +3...….(1)
and y = -(x-3) +6
y = 9 - x...…(2)
substitute value of equation 2 in eq. 1
9 - x = x + 3
x = 3 and
substitute value of x in eq. 1
y = x + 3 =3 + 3
y = 6
x = 3, y = 6
Hence the intersecting points of both equation are (3,6)
Learn more about vertex
https://brainly.com/question/29030495
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(13 – 6)^2 (5 + 2)^2÷(5 – 2)^3
Answer:
88 25/27
Step-by-step explanation:
(13 – 6)^2 (5 + 2)^2÷(5 – 2)^3
PEMDAS
Parentheses first
(7)^2 (7)^2÷(3)^3
Then exponents
49*49 ÷27
Then multiply and divide from left to right
2401÷27
2401/27
88 25/27
88.92592593
Answer:
Step-by-step explanation:
(7)^2(7)^2 / (3)^3
49*49 / 27
2401/27
88 25/27
The measure of an angle is 75°. What is the measure of its supplementary angle?
Answer:
105
Step-by-step explanation:
Supplementary angles add to 180 degrees
Let the unknown angle be x
75+x = 180
Subtract 75 from each side
75+x-75=180-75
x = 105
A friendly contest involves randomly drawing a marble from a bag that contains 16 blue marbles, 12 red
marbles, and 8 yellow marbles. If a blue marble is drawn, Nathan wins. If a red marble is drawn, Taylor wins.
If a yellow marble is drawn, Cady wins.
Who is most likely to win the contest?
1 Nathan
2 Cady
3 They are equally likely to win.
4 Taylor
Answer: I have a huge feeling it would be Nathan because he has the most blue marble. Yk?
