The time that Rudy finished the race was 11:10: 10 am.
The time that Teresa's group finished the race was 10:50:08 am.
What time did the groups finish the race?The formula that can be used to determine the time is Time = distance / average speed
Teresa's group = 26.6 / 16 = 1.6625 = 1 hour 40 minutes 10 seconds = 11:10: 10 am
Rudy's group = 16.6 / 12.5 = 1.328 = 1 hour 20 minutes 8 seconds = 10:50:08 am
To learn more about average speed, please check: https://brainly.com/question/21734785
I need the answer step by step pls asap
Answer:
27
Step-by-step explanation:
[tex] \frac{2 {}^{3} \times 3 {}^{4} \times 4}{3 \times 32 } [/tex]
Make everything in the form of exponet.
[tex] \frac{ {2}^{3} \times {3}^{4} \times {2}^{2} }{3 {}^{1} \times 2 {}^{5} } [/tex]
Use the rule.
[tex]a {}^{m} \times {a}^{n} = a {}^{m + n} [/tex]
[tex] \frac{2 {}^{3 + 2} \times {3}^{4} }{3 \times {2}^{5} } [/tex]
[tex] \frac{2 {}^{5} \times {3}^{4} }{3 \times {2}^{5} } [/tex]
Cancel out like Terms.
[tex] \frac{3 {}^{4} }{3} [/tex]
Use the property
[tex] \frac{a {}^{m} }{a {}^{n} } = {a}^{m - n} [/tex]
So we have
[tex]3 {}^{4 - 1} = 3 {}^{3} [/tex]
[tex]3 {}^{3} = 27[/tex]
What is the range for this set of data? 7, 15, 12 3 5 8 12.
Answer:
its D
Step-by-step explanation:
Solve for x. Explain.
Show your work in the space provided
Answer:
X=7
Step-by-step explanation:
Both are equal angles( the little 2 arrows prove that) so we set up the equation like this
75=11x-2
We need to isolate x to solve for it so we add 2 to both side since it's the opposite of subtraction.
our equation will then look like this
77=11x
last but not least, we divide 11 to both sides since it's the opposite of multiplication which 11 and X are doing
the answer is 7
A candy company claims that 31% of the candies are orange. We randomly sample 100 candies. We wish to know the probability our sample is 29% orange candies or less. Round answers to 4 decimal places and answer numerically (0.31, not 31%)
Find the probability our sample is 29% orange candies or less P(x<0.29)
Using the normal distribution and the central limit theorem, it is found that:
P(x < 0.29) = 0.2981.
Normal Probability DistributionIn a normal distribution 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]
It 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, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].In this problem:
31% of the candies are orange, hence p = 0.31.We randomly sample 100 candies, hence n = 100.Then, the mean and the standard error are given by:
[tex]\mu = p = 0.31[/tex]
[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.31(0.69)}{100}} = 0.04625[/tex]
The probability our sample is 29% orange candies or less is the p-value of Z when X = 0.29, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.29 - 0.31}{0.04625}[/tex]
[tex]Z = -0.43[/tex]
[tex]Z = -0.43[/tex] has a p-value of 0.2981.
Hence:
P(x < 0.29) = 0.2981.
To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213
Help !!!!!!!!!! How can I Select the expressions that are factored correctly.
Answer:
[tex]3x^2 + 14x + 8 = (3x+2)(x+4)[/tex]
[tex]x^2-10x+25=(x-5)^2[/tex]
Step-by-step explanation:
[tex]x^2 - 26 = (x-6)^2[/tex]
[tex](x-6)(x-6)[/tex]
[tex]x^2-6x-6x+36[/tex]
[tex]x^2-12x+36[/tex] (wrong)
[tex]3x^2 + 14x + 8 = (3x+2)(x+4)[/tex]
[tex](3x+2)(x+4)[/tex]
[tex]3x^2+12x+2x+8[/tex]
[tex]3x^2+14x+8[/tex] (true)
[tex]x^2-7x+10=(x+5)(x+2)[/tex]
[tex](x+5)(x+2)[/tex]
[tex]x^2+2x+5x+10[/tex]
[tex]x^2+7x+10[/tex] (wrong)
[tex]x^2-10x+25=(x-5)^2[/tex]
[tex](x-5)^2[/tex]
[tex](x-5)(x-5)[/tex]
[tex]x^2-5x-5x+25[/tex]
[tex]x^2-10x+25[/tex] (true)
Hope this helps!
Error Analysis Allie says JKL ~ XYZ
What is Allie's error?
Similar triangles may or may not have equal measures
Allie's error is that Allie did not state the similarity theorem
How to determine Allie's errorThe statement JKL ~ XYZ means that:
Triangles JKL and XYZ are similar triangles
From the complete question, we have the following highlights:
Angles J and X have equal measures of 55 degreesThe side lengths of triangle XYZ are 3 multiplied by the corresponding side lengths of triangle JKLThe above means that, both triangles are similar by SAS or SSS
In Allie's statement, the similarity theorem is not stated
Hence, Allie's error is that Allie did not state the similarity theorem
Read more about similar triangles at:
https://brainly.com/question/14285697
WILL GIVE BRAINLIEST
CAN SOMEONE GIVE A EXPLAINATION ABOUT CLOSURE PROPERTY WITH A SIMPLE EXAMPLE THAT IS EASY TO UNDERSTAND
Explanation:
A set is "closed" for a particular operation if performing that operation on members of the set always gives a member of the set.
closed example
For example, the set {0, 1} is closed for multiplication:
0 × 0 = 0
0 × 1 = 0
1 × 1 = 1 . . . all result values are members of the set
Performing multiplication on any two members of the set gives a member of the set.
__
not closed example
The same set {0, 1} is not closed for addition:
0 +0 = 0
0 +1 = 1
1 +1 = 2 . . . not a member of the set
Performing addition on any two members of the set does not always give a member of the set.
_____
Additional comment
Sometimes you are asked to demonstrate closure of a particular set using a particular example. As we see with addition, above, some examples may seem to demonstrate closure, while another example may prove the set is not closed. In short, you can demonstrate that the set is closed for a particular operation on a particular example, but that does not demonstrate closure in general.
What is the correct justification for the first step in solving this
equation? 3(x - 4) + 1 = 12x *
-
O Addition Property
O Division Property
O Commutative Property
O Distributitive Property
Answer:
x=11/9
Step-by-step explanation:
Dylan is recording the types of birds he sees while bird Dylan is recording the types of bird he sees wild bird watching in the park. On Day 1, he records seeing 16
different types of birds. On Day 2, his number drops by 25%. On Day 3, he records seeing 3 more types of birds
than on Day 2.
What was the percent increase from Day 2 to Day 3?
Enter your answer in the box.
Answer:
15%
Step-by-step explanation:
Ok so if you have to get rid of 25% of 16 than thats 12 because 4 quarters is 100 than you have to think how much does he have know which is 75% so three more types of birds adds 15% and 75 + 15= 90 and the increase was 15% so The answer is 15%
help ;_;
find the cube root
³√64. ³√-216
[tex] - \times \frac{343}{100} } [/tex]
Step-by-step explanation:
³√64 = 4
therefore 4³ = 64.
³√-216 = -6
therefore -6³ = -216
1. Which three lengths could be the lengths
of the sides of a triangle?
A. 12 cm, 5 cm, 17 cm
B. 10 cm, 15 cm, 24 cm
C. 9cm, 22 cm, 11 cm
D. 21 cm, 7 cm, 6 cm
Answer:
B. 10cm, 15cm, 24cm
Step-by-step explanation:
The 2 shortest sides of a triangle added together must be longer than the longest side of the triangle.
10cm + 15cm > 24cm, so the answer is B.
help plss i need help
If you bought a stock last year for a price of $120, and it has gone down 10% since
then, how much is the stock worth now, to the nearest cent?
Answer:
it is now at 108
Step-by-step explanation:
10% of 120 is 12 120-12=108
In circle C, r=32 units. What is the area of circle c
Answer:
≈3216.99088 OR 32π
Step-by-step explanation:
A=πr2=π·32≈3216.99088 OR 32π
On the first day it was posted online, a music video got 390 views. The number of
views that the video got each day increased by 30% per day. How many total views
did the video get over the course of the first 13 days, to the nearest whole number?
Answer:
The answer is 7212 views
Step-by-step explanation:
Given;A music video got 390 views.The number of views that the video got each day increased by 30% per day.To Find;Total views did the video get over the course of the first 13 daysSo, For the first day the number of views is 390
Second Day
30% increased of total views
390 × 30 ÷ 100 = 11.7 = 12
390 + 12 = 402
Third Day
30% increased of total views
402 × 30 ÷ 100 = 120.6 = 121
402 + 121 = 523
Fourth Day
30% increased of total views
523 × 30 ÷ 100 = 156.9 = 157
523 + 157 = 680
Fifth Day
30% increased of total views
680 × 30 ÷ 100 = 204
680 + 204 = 884
Sixth Day
30% increased of total views
884 × 30 ÷ 100 = 265.2 = 265
884 + 265 = 1149
Seventh Day
30% increased of total views
1149 × 30 ÷ 100 = 344.7 = 345
1149 + 345 = 1494
Eight Day
30% increased of total views
1494 × 30 ÷ 100 = 448.2 = 448
1494 + 448 = 1942
Ninth Day
30% increased of total views
1942 × 30 ÷ 100 = 582.6 = 583
1942 + 583 = 2525
Tenth Day
30% increased of total views
2525 × 30 ÷ 100 = 757.5 = 758
2525 + 758 = 3283
Eleventh Day
30% increased of total views
3283 × 30 ÷ 100 = 984.9 = 985
3283 + 985 = 4268
Twelth Day
30% increased of total views
4268 × 30 ÷ 100 = 1280.4 = 1280
4268 + 1280 = 5548
Thirteenth Day
30% increased of total views
5548 × 30 ÷ 100 = 1664.4 = 1664
5548 + 1664 = 7212
Thus, Total views did the video get over the course of the first 13 days is 7212 Views.
-TheUnknownScientist 72
Find the average rate of
change, from 20 to 60 in
the table below.
Х
20
40
60
80
100
у
15
35
65
105
155
Answer:
20
20, 30, 40, 50
I think this might be the answer
I've been trying to solve my homework for the last one hour
Answer:
3+1+4+8+6 // 3+1+4+9+5 // 4+7+4+5+2
Step-by-step explanation:
Here is three combinations, i am not sure if you are supposed to use all of the numbers or not but this is what i found.
what is equivalent to (3x - 4)^4
a. (3x - 4)(3x - 4)(3x - 4)(3x - 4)
b. (3x + 4)(3x + 4)(3x - 4)(3x - 4)
c. x^4 + 4x^3y + 6x^2y^2 + 4xy^3 + y^4
d. 9x^2 - 24x + 16
(This purple side is what will be graded for the 605 project when you submit it!)
Complete your project on this side!
For this activity, you will need two coins.
First, you will determine the theoretical probability of events.
Then, you will flip the coins 100 times and determine the experimental probability of the events.
Flip two coins 100 times, and record the results of each coin toss in a table like the one below:
Result
Frequency
Two Heads
28
Two Tails
30
1 Head, 1 Tail
42
complete below
Answer the following questions based on the data you gathered. You must show your work to receive credit.
1. What is the theoretical probability that a coin toss results in two heads showing?
2. What is the experimental probability that a coin toss results in two heads showing?
3. What is the theoretical probability that a coin toss results in two tails showing?
4. What is the experimental probability that a coin toss results in two tails showing?
5. What is the theoretical probability that a coin toss results in one head and one tail showing?
6. What is the experimental probability that a coin toss results in one head and one tail showing?
7. Compare the theoretical probabilities to your experimental probabilities. Why might there be a difference?
1. The theoretical probability that a coin toss results in two heads showing is 25% :
The probability of a head showing the first time is 50%
The probability of getting a head twice is 50% x 50% = 25%
2. The experimental probability that a coin toss results in two heads showing is 28/100 (28%)
3. The theoretical probablity that a coin toss results in two tails showing is 25% ( 50% x 50% )
4. The experimental probability that a coin toss results in two tails showing is 30/100 (30%)
5. The theoretical probability that a coin toss results in one head and one tail showing is 25% (also 50% x 50%)
6. The experimental probability that a coin toss results in one head and one tail showing is 42/100 (42%)
7. The theoretical probabilities have a difference from experimental probabilities because theoretical probabilities are equal odds of happening, while experimental probabilities might be biased because we might get tails for example, 10 times in a row, which messed up the odds.
Hope this helps. somehow.
Expand the following expression: 15(2+5x)
Answer:
30+75x
Step-by-step explanation:
The cost of a truck is $42,500 but the dealership wants to mark up the price by 40. What is the selling price of the truck?
I NEED THIS WITHIN HE NEXT HOUR PLS GUYS
Answer:
$59,500
Step-by-step explanation:
Assuming you mean 40%:
Two ways:
$42,500 + ($42,500 x 0.4)
OR
$42,500 x 1.4
= $59,500
Solve and reduce to lowest terms: 6 x 3/8
PLEASE HELP FIVE MINUTES!! WILL GIVE BRANLEST
Answer:
18/8 or as a mixed number 2 ¹/4
Step-by-step explanation:
just times 6/1 by 3/8 which is 18 over 8 and simplify it into 2 ¹/4
Hii! Goodafternoon/morning!
Your question is asking how much is 3/8 + 3/8 + 3/8 is.
Normally, we would find a common denominator. But since they are all the same fraction, we don't need to.
First we need to figure out what 6×3 equals. That is 18.
We can't multiply 6×8.
So
We have to write the fraction has
18/8
But thats not simplified. So we need to turn this into a mixed number.
18/8 simplified is 2 2/8
We need to simplify that again.
2 2/8 simplified is 2 1/4.
So the answer is
2 and 1/4.
Brainliest??
-Nat
When adding 3 and -9, how do you know that the sum is negative?
Answer:
You know it is negative because you are adding a small number and a bigger negative number. At first number lines are helpful to visualize it.
Step-by-step explanation:
Maybe this will help:
Let's say you are borrowing money from a friend and need to pay them back. You own your friends $9, but you only have 3. So, you give them your $3. This leaves you owning $6.
3-9=-6
negative = owes money
what are the length and width of a rectangular traffic sign if the length exceeds the width by 22 inches and the perimeter is 136 inches?
Answer: L=46in
Step-by-step explanation:
Using the formulaP=2(l+w)Solving forll=P2﹣w=1362﹣22=46in
ulsi and Gary are competing in a basketball free throw competition. Tulsi’s ratio of free throws made to free throws missed is 3 to 5. Gary’s ratio of free throws made to free throws missed is 10 to 15. Who has the better ratio for making free throws?
Answer:
Gary because 10 to 15 rounds down to 2/3 which is greater than 3 to 5
Step-by-step explanation:
Answer:
Garyyy!! super late but yea
Step-by-step explanation:
:)
A city has cone shaped buildings for storing salt and sand for icy roads. Each building has a radius of 50 feet and a height of 30 feet find the volume of the building use 3.14 for π.
Answer:
Radius=50 ftπ=3.14Height=30 ftVolume=?We know that,
[tex]\star \: \: \purple{Volume_{(cone)} =\pi {r}^{2} \frac{h}{3} }[/tex]
[tex]\star \: \: \purple{Volume_{(cone)} =3.14 \times {(50)}^{2} \times \: \cancel\frac{30}{3} \: }[/tex]
[tex]\star \: \: \purple{Volume_{(cone)} = 3.14 \times (50 \times 50) \times 10} [/tex]
[tex]\star \: \: \purple{Volume_{(cone)} =3.14 \times 2500 \times 10 }[/tex]
[tex]\star \: \: \purple{Volume_{(cone)} =78500 }[/tex]
Thus,the third option is correct.
[tex]\star \: \: {\blue{DisneyPrincess29}}[/tex]
rewrite 2 11/12 as a fraction greater than 1
[tex] \tt 2 \dfrac{11}{12} [/tex]
[tex] \\ \\ [/tex]
[tex] \to\tt \dfrac{35}{12} [/tex]
What is the equation of the line that passes through the point (4,-7)(4,−7) and has a slope of 1/2?
Answer:
Add 22 Then eat caca
Step-by-step explanation:
Thats it
The measure of Angle 1 is (3x - 75)°. Find the value of x.
Answer:
∠1=90°-->(3x-75)°=90°-->3x=90+75-->3x=165-->x=165/3=55Answer.
PLEASE HELP!! MATHH
SUPER DESPERATE EVEN 1 ANSWER IS FINE
Answer:
4 x 3 x 2
Step-by-step explanation:
Hope that helps, I'm like 95% sure that's the answer.
Answer:
Question 1: C. 4 × 3 × 2 × [tex]\frac{1}{8}[/tex] × [tex]\frac{1}{8}[/tex] × [tex]\frac{1}{8}[/tex]
Question 2: The volume is [tex]\frac{1}{12}[/tex] or 0.083333333
Question 3: The volume fo the solid figure is 234
Step-by-step explanation:
1. Volume of a rectangular prism = (length × width × height) cubic units
Length = 4 × [tex]\frac{1}{8}[/tex]
Width = 3 × [tex]\frac{1}{8}[/tex]
Height = 2 × [tex]\frac{1}{8}[/tex]
Volume = 4 × [tex]\frac{1}{8}[/tex] × 3 × [tex]\frac{1}{8}[/tex] × 2 × [tex]\frac{1}{8}[/tex]
Volume = 4 × 3 × 2 × [tex]\frac{1}{8}[/tex] × [tex]\frac{1}{8}[/tex] × [tex]\frac{1}{8}[/tex]
So the correct option is:
C. 4 × 3 × 2 × [tex]\frac{1}{8}[/tex] × [tex]\frac{1}{8}[/tex] × [tex]\frac{1}{8}[/tex]
2.
We have to fold the shape into a rectangular prism, look at the picture
Volume of a right rectangular prism = (length × width × height)
Length = [tex]\frac{1}{3}[/tex]
Width = [tex]\frac{1}{3}[/tex]
Height = [tex]\frac{3}{4}[/tex]
Volume = [tex]\frac{1}{3}[/tex] × [tex]\frac{1}{3}[/tex] × [tex]\frac{3}{4}[/tex]
Multiply [tex]\frac{1}{3}[/tex] times [tex]\frac{1}{3}[/tex] by multiplying numerator times numerator and denominator times denominator.
[tex]\dfrac{ 1 \times 1 }{ 3 \times 3 } \times \left( \dfrac{ 3 }{ 4 } \right)[/tex]
Do the multiplications in the fraction [tex]\dfrac{ 1 \times 1 }{ 3 \times 3 }[/tex]
[tex]\dfrac{ 1 }{ 9 } \times \left( \dfrac{ 3 }{ 4 } \right)[/tex]
Multiply [tex]\frac{1}{9}[/tex] times [tex]\frac{3}{4}[/tex] by multiplying numerator times numerator and denominator times denominator.
[tex]\dfrac{ 1 \times 3 }{ 9 \times 4 }[/tex]
Do the multiplications in the fraction [tex]\dfrac{ 1 \times 3 }{ 9 \times 4 }[/tex]
[tex]\frac{3}{36}[/tex]
Reduce the fraction [tex]\frac{3}{36}[/tex] to the lowest terms by extracting and canceling out 3
Fraction form: [tex]\frac{1}{12}[/tex]
or
Decimal form: 0.083333333
So the volume of the right rectangular prism is [tex]\frac{1}{12}[/tex]
3. Look at the picture with the solid figure labeled
We can think of this shape as two different prisms ( A and B)
Volume of A = 4.5 × 6 × 6.5 = 175.5
Volume of B = 3 × 3 × 6.5 = 58.5
Total volume of the whole figure = 175.5 + 58.5
175.5 + 58.5 = 234
So the volume of the solid figure is 234