Answer: 72.78% of the drivers are traveling between 70 and 80 miles per hour based on this distribution.
Step-by-step explanation:
Let X be a random variable that represents the speed of the drivers.
Given: population mean : M = 72 miles ,
Standard deviation: s= 3.2 miles
The probability that the drivers are traveling between 70 and 80 miles per hour based on this distribution:
[tex]P(70\leq X\leq 80)=P(\frac{70-72}{3.2}\leq \frac{X-M}{s}\leq\frac{80-72}{3.2})\\\\= P(-0.625\leq Z\leq 2.5)\ \ \ \ \ [Z=\frac{X-M}{s}]\\\\=P(Z\leq2.5)-P(Z\leq -0.625)\\\\\\ =0.9938-0.2660\ \ \ [\text{Using p-value calculator}]\\\\=0.7278[/tex]
Hence, 72.78% of the drivers are traveling between 70 and 80 miles per hour based on this distribution.
Help I have like 10 minutes to do this
Answer:
5
Step-by-step explanation:
The mean is the average so add up all values of the data points and divide by the amount of data points.
Answer:
11
Step-by-step explanation:
add all the x's to get the total
Someone please help me thank you
Answer:
x = -8, y = 4
Step-by-step explanation:
3x + 3y = -12 (1)
x + 6y = 16 (2)
Multiply (2) by 3
3x + 18y = 48 (3)
3x + 3y = -12 (1)
Subtract (1) from (3) to eliminate x
18y - 3y = 48 - (-12)
15y = 48 + 12
15y = 60
y = 60/15
y = 4
Substitute y = 4 into (1)
3x + 3y = -12 (1)
3x + 3(4) = -12
3x + 12 = -12
3x = -12 - 12
3x = -24
x = -24/3
x = -8
x = -8, y = 4
CORRECT TO ONE DECIMAL PLACE
[tex]2x(x - 3)[/tex]
A student began a proof of the law of sines using triangle xyz. His work is shown. The student has ____ started the proof. The next step in the proof is to ____. Then the student should _____.
To correctly prove the law of sines in a triangle the student should begin with the most basic or evident piece of information, then add related statements to it. and finish the proof with the conclusion or re-statement of the law.
What does it mean to prove in Mathematics?A mathematical proof refers to a set of statements that logically demonstrate a law is true or the mathematical statement is valid, which means the prepositions and conclusion are valid.
How to write a proof?The general pattern for proof is:
Write down the law or expression that you want to prove.Add statements that show the expression or law as valid by starting with the simplest or most evident reason and moving to more complex reasons.Re-state the law or conclude the statement is valid.Note: This question is incomplete because the proof is missing; due to this I answered it based on general knowledge.
Learn more about proof in: https://brainly.com/question/2034189
Answer:
The student has
correctly
started the proof.
The next step in the proof is to
express h in terms of angle X and side z
.
Then the student should
set the expressions for h equal
.
Step-by-step explanation:
please help me !! this diagram is not to scale.
Answers:
sin(A) = 7/25cos(A) = 24/25tan(A) = 7/24==============================================
Explanation:
We use these rules shown below
sin(angle) = opposite/hypotenusecos(angle) = adjacent/hypotenusetan(angle) = opposite/adjacentFor reference angle A, the side opposite it is BC = 7 which is as far as possible we can go from this angle. The closest we can get is AB = 24 which is the adjacent side. The hypotenuse is always the longest side, always opposite the largest angle (90 degrees).
Each fraction in bold shown above is reduced as much as possible. For example, 7/24 cannot be reduced since 7 and 24 have no factors in common other than 1.
What is the first step you will use to solve this equation:
4x +2 = 7x - 13
What is the solution set to the inequality 5(x - 2)(x + 4) > 0?
O {xx>-4 and x <2}
O {x| X <-4 or x > 2)
O {x} x <-2 or x > 4)
O {X/ x>-2 or x <4}
Answer:
{x | x < 2 and x < -4 }
Step-by-step explanation:
Given the inequality 5(x - 2)(x + 4) > 0?
This also means x - 2 < 0 and x + 4<0
For x - 2 < 0
Add 2 to both sides
x - 2 + 2 < 0 + 2
x < 2
Similarlry for x + 4 <0
Subtract 4 from both sides
x+4-4 < 0 -4
x < 0 -4
x < -4
x < 2 and x < -4
Hence the required solution is {x | x < 2 and x < -4 }
Please help with this pls.
Answer:
x = 9
(5x9) - 1° = 45 - 1 or 44°
Step-by-step explanation:
the little square indicates the angle is a right angle, measuring 90°
therefore, you can solve for 'x' by creating this equation:
46 + 5x-1 = 90
45 + 5x = 90
5x = 45
x = 9
how many puppies were rescued 12x+3=
Answer:
36
Step-by-step explanation:
12 x 3 = 36
Which of the following shows that the difference of two irrational numbers can be rational?
See picture for multiple choice. Thank you :)
Answer:b
Step-by-step explanation: pi is irrational so if you add it to something that becomes irrational
Answer:
b
Step-by-step explanation:
The pastor divided the 3,000 circulars among 15 teenagers. How many circulars did each young person receive?
(Write the explanation and answer)
Graph the function.
f(x)=4⋅(3/2)^x
Answer:
Graph the function.
Step-by-step explanation:
Which expression would you use to determine the missing number in the sequence? 12, ____, 26, 33, 40
Answer:
The answer is 19.
Step-by-step explanation:
This is because the sequence adds up by 7 each time. Have a nice day!
Answer:
19
Step-by-step explanation:
The sequences are adding 7, so 12 + 7= 19
I hope this helps :D
EASY GEOMETRY/10 POINTS/WILL MARK AS BRAINLIST
WHICH IS NOT A PYTHAGOREAN TRIPLE
Answer:
Answer = D.) 9, 12, 16
Step-by-step explanation:
Answer:
[tex]pythagorean : AC^2 = AB^2 + BC^2 \\\\(3,4,5) = 5^2 = 3^2 + 4^2 \\ => satisfies\\\\(5, 12 , 13) = 13^2 = 5^2 + 12^2 \\=> satisfies\\\\(6, 8 , 10) = 10^2 = 6^2 +8^2\\=>satisfies\\\\(9,12, 16) = 16^2 = 9^2 + 12^2 => 256 = 81 + 144 => 256 = 225 \\=> does \ not\ satisfy[/tex]
PLEASE HELP ASAP PLEASE
Answer:
Step-by-step explanation:
The k is indicative of movement either up or down, while h is indicative of movement that is either right or left. The blue graph moves both to the right and down to get to the position of the red graph. On the blue graph, locate the point (0, 1). That point moves from a y-location of 1 to a y-location of -2, meaning that it moves down 3 units; therefore, the value of k is -3.
Will give brainliest
GO FROM BLACK DOT TO BLACK DOT FOR CALCULATIONS TO BE ACCURATE
1 BOX = 1 FOOT
Across the room are your 2 best friends Sara & Jon
Laying at the exact midpoint between them is /y
the perfect zombie killing potion. Unfortunately,
Sara & Jon have both developed a taste for brains so they won't
be much help. What are the coordinates of the potion?
ROUND TO THE TENTHS
Which of the following lines is parallel to the line that passes through (-1, -3) and (5,0)?
Math riddle!
A small number of cards has been lost from a complete pack. If I deal among four people, three cards remain. If I deal among three people, two remain and if I deal among five people, two cards remain. How many cards are there?
Answer:
47
Step-by-step explanation:
There are total 52 cards.
Certain number of cards are lost.
When divided by 4, leaves 3 cards remain ; 51, 47, 43, 39, . . .
When divided by 5, leaves 2 cards remain : 47, 42, 37, 32, . . .
When divided by 3, leaves 2 cars remain : 50, 47, 44, 41, . . .
The common number among the three is 47.
Calculate the area of the figure.
HELP
Answer:
Step-by-step explanation:
A=bh A=7*8 A=56units^2
Answer:
34
Step-by-step explanation:
i think its 34
a circle is graphed on a coordinate grid and tgen reflected across the y-axis. if the center of the original circle was located at (x,y). which ordered pair represents the center of the new circle after the transformation
Answer:
The new center is the point (-x, y)
Step-by-step explanation:
When you reflect a point across the y-axis, the x-coordinate changes to its opposite (additive inverse).
See the attached image for an example.
The circle on the right has center (3, 1). When reflected across the y-axis, the reflected center is (-3, 1).
how many single bonds would be needed to make an octet?
Answer: it would be four
Step-by-step explanation:
someone pls help!! NO LINKS AND ONLY ANSWER IF U KNOW!! i’ll report u if u do either. pls explain well too
Answer:
can u please send the question again with clear picture of diagram?
PLEASE HELP pls I know it’s the easiest thing I just could never understand this
Answer:
I think its 10 pls dont get mad at me if its wrong.
Step-by-step explanation:
if you see x and then 10 you can see they line up
Determine the volume of the composite figure...
please help guys!!
2.
Recall that
lines never intersect. This is because they have the
same
and different
If their y-intercepts were also the
same, then the lines would
and intersect everywhere. Lines that intersect
to form right angles are called
. When we constructed perpendicular lines,
we
the points of a line 90 degrees. This is how the
angles were created. Algebraically, we say that the slopes are
reciprocals meaning that their slopes have opposite
and flipped
You can check by multiplying them. The
of negative
reciprocals is -1.
Word Bank:
negative
slope
perpendicular
rotated
product
overlap
right
parallel
signs
y-intercept
fractions
Answer:
and the question is? I'm confused
Taryn is making a quilt using fabric in the shape of parallelograms that have side lengths of 12 cm and 4.5 cm as shown. She sews two right
triangles to either end of the parallelogram to make a rectangle. The length of OP is 2.5 cm.
What is the length of MN?
O A V2.5 cm
OB. 14 cm
OC 4.5 cm
OD 26.5 cm
OE 7 cm
Answer:
[tex]MN = \sqrt{14[/tex]
Step-by-step explanation:
Given
[tex]NO = 12[/tex]
[tex]OP = 2.5[/tex]
[tex]OQ = 4.5[/tex]
Required
Find MN
First, we calculate QP using Pythagoras theorem
[tex]OQ^2 = OP^2 + QP^2[/tex]
[tex]4.5^2 = 2.5^2 + QP^2[/tex]
[tex]20.25 = 6.25 + QP^2[/tex]
Collect like terms
[tex]QP^2 = 20.25 - 6.25[/tex]
[tex]QP^2 = 14[/tex]
Take square roots
[tex]QP = \sqrt{14[/tex]
To solve MN, we have:
[tex]MN = OP[/tex]
So:
[tex]MN = \sqrt{14[/tex]
Set up a proportion.
What is h?
Answer:
Decimal:
h = 4.2 ft
Fraction:
[tex]h=4\frac{1}{5}[/tex] ft
Step-by-step explanation:
[tex]\frac{9}{15} :\frac{h}{7}[/tex]
Cross multiply.
h · 15 = 9 · 7
Simplify.
15h = 63
Divide each side by 15.
15h ÷ 15 = 63 ÷ 15
Simplify.
h = 4.2
Find the slope of a line that goes through the two points (-1, 1) and (-3, -7).
Answer:
the slope of the line is 4 and the working is in the attached picture
Answer:
4
Step-by-step explanation:
[tex]\frac{-7 - 1}{-3-(-1)}[/tex] = [tex]\frac{-8}{-2}[/tex] = 4
please answer fast.
Answer:
Step-by-step explanation:
I NEED HELP PLEASE IT WOULD HELP ME ALOT
Answer:
Step-by-step explanation:
21 is the side opposite the angle you want.
67 is the hypotenuse. Those two sides define the Sin
Sin(theta) = opposite / hypotenuse
Sin(theta) = 21 / 67
Sin(theta) = .313432
theta or x = sin-1(0.313432)
x = 18.27
Sorry, I must have hit the wrong key the first time.
Answer:
18.27˚
Step-by-step explanation: