Using the Empirical Rule, it is found that her finishing time will be between 70 and 82 seconds in 95% of her races.
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.In this problem, the mean is of 76 seconds and the standard deviation is of 3 seconds, then:
76 - 2 x 3 = 70.
76 + 2 x 3 = 82.
Which means that values between 70 and 82 seconds are within 2 standard deviations of the mean, hence the percentage is of 95%.
More can be learned about the Empirical Rule at https://brainly.com/question/24537145
help (picture below!)
Consider the following incomplete deposit ticket: a deposit ticket. the amounts deposited were 491 dollars and 60 cents and 157 dollars and 68 cents. 68 dollars and 44 cents was taken out as cash. the total on the ticket is 686 dollars and 4 cents. what was the value of the third check tony deposited? a. $617.60 b. $105.20 c. $31.28 d. $36.76
Tony deposited three checks as given in deposite ticket. The amount of the third check that Tony deposited is given by: Option B: $105.20
How to get the resultant deposited amount?Resultant deposited amount = Deposited amount - The amount deducted.
We subtract the amount deducted from the amount deposited to get the resultant deposite amount that will go in bank.
Well, it might be that we deduced more than what we deposite, in that case net deposite will come as negative, indicating that there is deduction instead of deposite.
The missing image of the deposite ticket is attached below.
From that image, we can see that:
Deposited amounts were: First check: $491.60 Second check: $157.68 Third check: $x (to find)Deducted amount was: $68.44Net deposite = $686.04Thus, the net deposited amount is:
Net deposite = deposited amounts - deduced amounts
686.04 = 491.6 + 157.68 + x - 68.44 (all in dollars)
[tex]686.04 = x+ 491.6 + 157.68 - 68.44\\686.04 = x + 580.84\\\\\text{Subtracting 580.04 from both the sides} \\\\686.04 - 580.84 = x\\x = 105.20 \: \rm dollars[/tex]
Net deposite = 105.20 (in dollars).
Thus, the amount of the third check that Tony deposited is given by: Option B: $105.20
Learn more about total deposite here:
https://brainly.com/question/27244866
i need help will give points no scam just please give me the answers and we will both be on our way please no scamming cause its annoying also this is eighth grade math work
Answer:
BAStep-by-step explanation:
Solve for a and determine the measure of each angle:
Answer:
a =13
Step-by-step explanation:
180= (44+16-23)+11a
143=11a
143÷11= 13
Pls help me !! Pls help me !!
Answer:
x= -2
Step-by-step explanation:
Make denominator same
3*(x+10)/12 - 2*(x-10)/12 = 6*(x+10)/12
denominators are same so numerators has to same as well
3*(x+10)-2*(x-10)=6*(x+10)
expand brackets
3x+30-2x+20 = 6x+60
x+50=6x+60
x-6x=60-50
-5x=10
x= -2
Find the measure of the angles.
3
62
mZ1 =
mZ2 =
Answer:
Step-by-step explanation:
What is the spatial relationship between a rectangle and a parallelogram?
Answer:
a rectangle is a parallelogram as the parallogram is made up of 2 triangles and a smaller rectangle. When the rectangle is divided into 2 triangles and another small rectangle, and is then being put together with the triangles on each side, it will be a parallelogram.
Step-by-step explanation:
Explanation:
A rectangle has the following properties:
Has 4 sidesHas 4 right anglesOpposite sides lengths are equal.Diagonals of rectangle are equal.Opposite sides are parallel.A parallelogram has the following properties:
Has 4 sidesOpposite angles are equal.Opposite sides are equal.Opposite sides are parallel.The similiarities between a rectangle and a parallelgram:
Has 4 sidesOpposite sides are parallel.Opposite sides are equal.Opposite sides lengths are equal.The difference between a rectangle and a parallelogram:
The main difference between a rectangle and a parallelogram is that a rectangle has four right angles while a parallelogram does not have four right angles.
Find the value of cos Q rounded to the nearest hundredth, if necessary.
Answer:
Q = 61.56°
Step-by-step explanation:
cos ∅ = adjacent/hypotenuse
cos Q = 10/21
cos Q = 0.4762
Q = 61.56°
WILL GIVE BRAINLIEST
What causes wind?
Question 3 options:
There is an increase in temperature and an increase in density.
An area of high pressure pushes toward an area of low pressure.
An area of low pressure pushes toward an area of high pressure.
An area of high pressure pushes toward an area of low pressure causing wind
I attached a diagram that can hopefully help you visualize the situation
Hope that helps!
An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 22 feet up. The ladder makes an angle of 77^{\circ}
with the ground. Find the length of the ladder. Round your answer to the nearest tenth of a foot if necessary.
The ladder and the outside wall form a right triangle
The length of the ladder is 97.8 feet
How to determine the length of the ladder?The given parameters are:
Distance (B) = 22 feet
Angle of elevation (θ) = 77 degrees
The length (L) of the ladder is calculated using the following cosine ratio
cos(θ) = B/L
So, we have:
cos(77) = 22/L
Make L the subject
L = 22/cos(77)
Evaluate the product
L = 97.8
Hence, the length of the ladder is 97.8 feet
Read more about right triangles at:
https://brainly.com/question/2437195
Find the perimeter of the composite figure
Answer:
104+16π
Step-by-step explanation:
Triangle Formula is bh1/2
Rectangle is lxw
Semicircle is 1/2 π r^2
Ver en español
What is the surface area of this cone?
Use ≈ 3.14 and round your answer to the nearest hundredth.
15 mm
12 mm
square millimeters
Line t is tangent to the circle. Find the measure of arc DEF.
Answer: 234 degrees
Step-by-step explanation:
Angle formed by a chord and a tangent has half the measure as the arc formed by the chord
The value of measure of arc DEF is,
⇒ 234 degree
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
Line t is tangent to the circle.
Hence, We know that;
The angle formed by a chord and a tangent is equal to 1/2 the measure of the intercepted arc.
Thus, The value of measure of arc DEF is,
⇒ 2 x 117 degree
⇒ 234 degree
Learn more about the angle visit:;
https://brainly.com/question/25716982
#SPJ2
In the figure AB = AC and angle A = 48° What is the size of angle C?
Answer:
The answer is 25
Step-by-step explanation:
Find the perimeter of the semicircular region. Round your answer to the nearest hundredth.
The perimeter is about
meters.
Answer:
23.14
Step-by-step explanation:
The semi circular region's diagram looks as if it is half of a circle, cut in half by its diameter.
So the circumference of a circle is 2πr or πd
This is half a circle, so the formula is πd/2
π9/2 = 14.137
However, that's only half of the circumference. That does not contain the diameter that is also included.
So if you add 9m to that you get 23.137
32/4 times (16 times 1 over 2) minus 2 show your work I NEED HELP ASAP PLSSSS MY DAD IS GOING TO KILL ME
Answer:
62
Step-by-step explanation:
In this scenario, we would use BODMAS to determine where to start.
B - Brackets
O- Of
D - Division
M - Multiplication
A - Addition
S - Subtraction
First, let's start with the brackets.
16 X [tex]\frac{1}{2}[/tex] is the same as 16 X 0.5.
16 X [tex]\frac{1}{2}[/tex] = 8
Next is the division sum.
32 ÷ 4 = 8
Afterwards, we multiply both answers.
8 X 8 = 64
Your answer is then minused by 2 and leads to the final answer.
64 - 2 = 62
3 A fashion designer checks the price of a certain fabric. Manufacturer A charges $7.50 per yard. The graph shows the price that Manufacturer B charges. a. What is the initial value of each function? b. How much does 400 yd of fabric cost at each manufacturer? How much does 800 yd of fabric cost at each manufacturer? c. What can you conclude about the two functions? Explain. d. Manufacturer C offers the fabric for $5.50/yd but you have to buy at least 500 yd. What should the designer do if she needs 400 yd? Explain.
Answer: Price of 400 yd of fabric from Manufacturer A is = $7.50 X 400= $3,000. From given graph, we can observe that the charge for 800 yards of fabric is = $6,000
katie says the graph of y = 8 (1/2)^x is the same as the graph f(x) = 8(1/2)^x. Do you agree? explain your reasoning.
Answer:
Yes
Step-by-step explanation:
In two-demensional graphing f(x) and y are used in the same way. They both represent a "function of x"
Malini answered 68 problems on a test correctly and received a grade of 80%. How many problems were given on the test, if all problems carried the same number of marks?
Answer:
Below in bold.
Step-by-step explanation:
80% is equivalen to 68 correct answers
1% .. .. .. 68/80 ..
100% ,, ,, ,, (68/80) * 100 = 85 questions.
Jules draws the incenter of ABC. Which term describes the three segments Jules draws inside the triangle?
a.medians
b.angel bisector
c.altitudes
d.perpendicular bisectors
Answer:
b) angle bisector of angle ABC
Please help!!!!!!!!!!!!!!!!!!!!!!
Answer:C
Step-by-step explanation:
Okay so the value of 'a' is 2 so anywhere you see 'a', you substitute its value for 22(5-a)² + 7a2(5-2)² +7×2 2(3²) + 14 (2×9) + 1418 + 1432Answer:
option C
Step-by-step explanation:
Ive attach my work
Hppe it hels, Let me know if you have any questions !
Victoria is at an elevation of 150 feet. She hikes down to an elevation of 120 feet in 40 minutes. Then she hikes down to an elevation of 100 feet in 30 minutes.
Answer:
Answer: First portion is greater than second portion.
Step-by-step explanation:
Time taken to hiked down a trail = 10 minutes
Change in elevation = (-) 170 feet
Speed is given by
\begin{gathered}Speed=\frac{Distance}{Time}\\\\Speed=\frac{170}{10}\\\\Speed=17\text{ feet per minute}\end{gathered}
Speed=
Time
Distance
Speed=
10
170
Speed=17 feet per minute
Similarly,
Time taken to hiked down a trail = 20 minutes
Change in elevation = (-)220 feet
Speed is given by
Speed=\frac{Distance}{Time}Speed=
Time
Distance
\begin{gathered}Speed=\frac{220}{20}\\\\Speed=11\text{ feet per minutes}\end{gathered}
Speed=
20
220
Speed=11 feet per minutes
So, we can see that first portion of the hike where he hiked down a trail at a steady rate for 10 minutes and her change in elevation was (-) 170 feet, was her rate of change in elevation greater.
As 17 feet per minutes is greater than 11 feet per minutes.
Write an expression to show the show sum of g and h reduced by 11
Explanation:
The sum of g and h is the result of adding them. That means we have g+h so far. We reduce it or shrink that result by 11, which indicates we subtract off 11. Therefore, we end up with g+h-11
The weights of books in a bookcase are normally distributed with a mean of 13. 5 pounds and a standard deviation of 2. 3 pounds. There are 145 books on the bookshelf how many of the books will weigh 11 pounds or more
89.09% of books will weigh 11 pounds or more, then the number of books will be 129.
What is a z- score?The z-score is a numerical measurement used in statistics to refer to how much a given value differs from the standard deviation.
The weights of books in a bookcase are normally distributed with a mean of 11.6 pounds and a standard deviation of 1.3 pounds. There are 136 books on the bookshelf.
Then the z-score when the books will weigh 11 pounds or more will be
[tex]z= \frac{11-13.5}{2.3} \\\\z= -1.0869[/tex]
Then the probability will be
[tex]P(x > 11) = 1-P(x < 11 ) = 0.8909[/tex]
89.09% of books will weigh 11 pounds or more, then the number of the books will be
=145 × 0.8909
=129.1805 ≈ 129
More about the z-score link is given below.
brainly.com/question/15016913
#SPJ1
Eric is a great skateboard fan. He visits a shop named SKATERS to check some prices. At this shop you can buy a complete board. Or you can buy a deck, a set of 4 wheels, a set of 2 trucks and a set of hardware, and assemble your own board. The prices for the shop's products are:
Eric has 120 zeds to spend and wants to buy the most expensive skateboard he can afford. How much money can Eric afford to spend on each of the 4 parts? Put your answer in the table below.
Answer:
Deck | 60 zed
wheels | 14 zed
trucks. | 16+16 32 zed
Hardware | 10 zed
total. | 116 zed
remaining 4 zed
Step-by-step explanation:
hope this helps
mark me brainliest
Pls help me on this question
Check the picture below.
I need help for this question real quick. Please help if you can
Answer:
183.6 [tex]cm^{2}[/tex]
Step-by-step explanation:
Area = Area of trapezium - area of parallelogram-area of semicircle
= [tex]\frac{1}{2}(a+b)h-b*h-\frac{\pi r^{2} }{2\\}[/tex]
=[tex]\frac{1}{2}(25+15)24-13*16-\frac{\pi (15/2)^{2} }{2\\}[/tex]
= 183.6 [tex]cm^{2}[/tex]
If twice the age of son is added to age of father, the sum is 56. But if twice the age of the father is added to the age of son, the sum is 82. Find the ages of father and son.
Answer:
Age of Father- 36
Age of Son- 10
Adam wishes to have $19,000 available in 18 years to purchase a new car for his son as a gift for his high school graduation. To accomplish this goal, how much should Adam invest now in a CD that pays 1.92% interest compounded semiannually? Adam should invest $ NOW. (Round to the nearest cent as needed.)
The amount of money Adam should save now in order to accomplish his goal is $13,470.30.
How much should Adam save now?In order to determine the amount Adam should save now, the present valaue of $19,000 has to be determined. Present value is the sum of discounted cash flows.
Present value = future value / (1 + interest)^time
Interest = 1.92/2 = 0.96%
Time = 18 x 2 = 36
$19,000 / (1.0096^36) = $13,470.30
To learn more about present value, please check: https://brainly.com/question/26537392
WHOEVER HELPS ME WITH THESE 4 QUESTIONS WILL GET 60 POINTS AND RIGHT AWNSERS I WILL RATE U BRAINLIEST thank u so much and pls hurry up i only have 7 min left! ( pls good explanation)
Answer:
34) 5 questions
35) 8 questions
36) 9 questions
37) 10 questions
Step-by-step explanation:
We could create an exponential function for this scenario, but it is quicker and easier to simply list the potential scores.
We are told that the initial score is 1.
We are told that the the score doubles each time.
Therefore, the scores in sequence are:
1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024 ... etc.
34) 16 is the 5th term in the sequence, so 5 questions
35) 128 is the 8th term in the sequence, so 8 questions
36) 256 is the 9th term in the sequence, so 9 questions
37) 512 is the 10th term in the sequence, so 10 questions