To be eligible for the swim team, the mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s). The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.

What is the maximum time (in seconds) that she can take on her last lap and still make the team?

Answers

Answer 1

52s is the maximum time that she can take on her last lap and still make the team.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that he mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s).

The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.

We need to find the maximum time (in seconds) that she can take on her last lap and still make the team

Let x be the maximum time (in seconds) that she can take on her last lap

60=(63+62+65+58+x)/5

300=63+62+65+58+x

300=248+x

Subtract 248 on both sides

300-248=x

x=52s

Hence, 52s is the maximum time that she can take on her last lap and still make the team.

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Related Questions

What is the volume of cylinder b=11 h=6

Answers

Answer:

Step-by-step explanation:

2280.796

I need someone to explain this step by step. I have a test very soon.

Answers

Answer:

So you are going to multiply what is in the parentheses by two it will become 6x + 4.This will be for the second statement box. And the next will be 6x=18 and that will be the subtraction property or equality. For the last it would be x=3 and that would be the division property of equality.  

Step-by-step explanation:

factor each square root
0.7 times square root of 300
-0.125 times square root of 192

Answers

Answer:

To factor the first expression, "0.7 times square root of 300", we can rewrite it as:

0.7 * sqrt(300)

The prime factorization of 300 is 2 * 2 * 3 * 5 * 5, so we can rewrite the expression as:

0.7 * sqrt(2 * 2 * 3 * 5 * 5)

Since the square root of a number is the same as the square root of that number's prime factorization, we can rewrite the expression as:

0.7 * sqrt(2) * sqrt(2) * sqrt(3) * sqrt(5) * sqrt(5)

Combining like terms, we get:

0.7 * 2 * sqrt(2) * sqrt(3) * sqrt(5)

= 1.4 * sqrt(2) * sqrt(3) * sqrt(5)

This is the fully factored form of the expression "0.7 times square root of 300".

To factor the second expression, "-0.125 times square root of 192", we can rewrite it as:

-0.125 * sqrt(192)

The prime factorization of 192 is 2 * 2 * 2 * 2 * 2 * 2, so we can rewrite the expression as:

-0.125 * sqrt(2 * 2 * 2 * 2 * 2 * 2)

Since the square root of a number is the same as the square root of that number's prime factorization, we can rewrite the expression as:

-0.125 * sqrt(2) * sqrt(2) * sqrt(2) * sqrt(2) * sqrt(2) * sqrt(2)

Combining like terms, we get:

-0.125 * 6 * sqrt(2)

= -0.75 * sqrt(2)

This is the fully factored form of the expression "-0.125 times square root of 192".

Answer:

for the second one the answer is - square root of 3

Step-by-step explanation:

i could only solve the second one sorry

A copper sphere was moving at 40 m/s when it hit another object. This caused all of the KE to be converted into thermal energy for the copper sphere. If the specific heat capacity of copper is 387 J/(kg ⋅ C°), what was the increase in temperature? (2 points)

Group of answer choices

0.23 C°

0.81 C°

1.3 C°

2.1 C°

Answers

Answer:

Step-by-step explanation:

.b

i just answered that question

HELP WILL GIVE BRANLIEST!

Answers

Answer:

4 Units

Step-by-step explanation:

Here are the two sums
2/7 + 1/4 and 5/6 - 1/4
A. B

Which of the two sums is closer in value to 1/2?

You must show your working and state clearly whether the answer is A or B.

Note: Please use the “/“ key of your keyboard to enter the fractions (e.g. 2/7 as 2/7)

Answers

On solving the provided  question, we can say that - the value of the  fraction will be 1/4

what is fraction?

Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.

here,

x + x = 1/2

2x = 1/2

x = 1/4

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WILL MARK BRAINLIEST!
Solve for X in Parallelogram HGFE.

Answers

FH is made of UH and UF and the diagonal is made of two equal parts so

5x-7=19+19
5x-7=38
5x=45
x=9

Can somebody help me please

Answers

Answer:

4096/531441    

is your anwer

Step-by-step explanation:

Y intercept and slope

Answers

Answer: A y-intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system.

Slope - A number that describes both direction and steepness of the line.

Step-by-step explanation: If a line intersects the y-axis at point 5 then its y-intercept will be c= 5. As we denote y-intercept with c.

The slope is denoted by m.

Which of the binomials below is a factor of this trinomial? x^2 + x - 30

Answers

The binomials which correctly represent the factors of the given trinomial; x² + x - 30 as required in the task content are; ( x - 5 ) and ( x + 6 ).

Which binomials correctly represents the factors of the given trinomial?

As evident in the task content; the given trinomial whose binomial factors are to be determined is; x² + x - 30.

By factorisation; the given trinomial expression can be written as;

x² + 6x - 5x - 30

x ( x + 6 ) -5 ( x + 6 )

( x - 5 ) ( x + 6 )

On this note, the required binomials which are factors of the given trinomial expression are; ( x - 5 ) and ( x + 6 ).

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What is f×e where e={1,2,13} and f={44,8,2}?

Answers

Answer:

[tex]f\times e=\{(1,44),(1,8),(1,2),(2,44),(2,8),(2,2),(13,44),(13,8),(13,2)\}[/tex]

Step-by-step explanation:

The Cartesian Product of two sets is all pairs in which the first element of each pair comes from the first set, and the second element comes from the second set.

[tex]f\times e=\{(1,44),(1,8),(1,2),(2,44),(2,8),(2,2),(13,44),(13,8),(13,2)\}[/tex]

This was built using 1 from the first set paired with each number in the second set, then using 2 from the first set paired with each number in the second set, then 13 from the first set paired with each number in the second set.

Bad English!  Good solution!

HAVE A NICE DAY
WILL GIVE BRAINLST :)

Answers

Answer:

1) 2 & 6, 4 & 8, 1 & 5, 3 & 7

2) 3 & 6, 4 & 5

3) 1 & 8, 2 & 7

Answer:

1 - (1,5) (2,6) (4,8) (7,3)

2 - (3,6) (5,4)

3 - (1,8)(2,7)

Step-by-step explanation:

Consider a situation in which P(A) = , P(C) = , and P(A and B) = . What is P(B and C)?

Answers

The probability of P(B and C) is 1/6

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty. It is more likely that an event will occur if its probability is higher.

For e.g., A straightforward illustration is tossing a fair (impartial) coin.

Given that, the probabilities, P(A) = 1/8, P(C) = 1/4, and P(A and B) = 1/12

P(A and B) = P(A)×P(B)

Therefore,

1/12 = 1/8 × P(B)

P(B) = 8/12 = 2/3

Now,

P(B and C) = P(C)×P(B)

P(B and C) = 1/4×2/3

P(B and C) = 1/6

Hence, P(B and C) = 1/6

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Find the LCM of the first five primes

Answers

Answer:

The first 5 prime numbers are 2, 3, 5, 7 and 11. Their LCM is 2310

Jaden makes 63% of the free throws he shoots. About how many shots do you predict he will have to take to make 15 free throws?

Answers

Answer:

24 shots

Step-by-step explanation:

[tex]\frac{15}{y}= \frac{63}{100}[/tex]

y × 63 = 15 × 100

63y = 1500

63y ÷ 63 = 1500 ÷ 63

[tex]y=23\frac{17}{21}[/tex]

What information will be useful to know to answer the main question? How can you get it? How will you use that information

Answers

Answer:

Step-by-step explanation:

Can u give more detail as to what the question is asking pease

It would be helpful to know what the main question is in order to accurately determine what information would be useful to know and how to obtain and use it. Could you please provide the main question?

A company supplying candy to school vending machines needs to know about candy preferences of middle school and high school age students. A random sample of 400 students was taken. The company wants to know if there is any relationship between the candy choices and the age of students. After performing a chi-square test of independence, the chi-square test statistic = 24.68. The appropriate critical value for df and desired alpha level = 11.34.
Is there sufficient evidence to reject the null hypothesis? Explain.

Answers

Answer:

Yes

Step-by-step explanation:

The chi-square test statistic = 24.68.

The critical value for df = 11.34.

Since the calculated value of the chi square  falls in the critical region it is concluded that the two variables are dependent.

1) The null and alternative hypotheses are

H0: candy preferences of  students is independent of age.

Ha: candy preferences of  students is  not independent of age.

As the calculated value χ² = 24.68 lies in the critical region  χ² ≥χ² =11.34, null hypothesis is rejected.

Therefore, we conclude that there is not enough evidence to accept the null hypothesis .

If the first term is 6 and the conversation was 2, what is the seventh term of a geometric sequence? NO LINKS!!!!
A. 384
B. 2824
C. 192
D. 24​

Answers

Answer:

A

Step-by-step explanation:

Assuming you mean common ratio is 2

The nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 6 and r = 2 , then

a₇ = 6 × [tex]2^{6}[/tex] = 6 × 64 = 384 → A

How do you find the rate of change in a parabola?

I need to know ASAP

Answers

Answer:

Pick 2 points on the parabola and find the slope by using those two points.

The slope formula is (y2-y1)/(x2-x1)

Step-by-step explanation:

Find the common difference if the 8th term is 55 and the first term is 13

Answers

Answer:

Step-by-step explanation:

Equation

L = a + (n - 1)*d

Givens

L = 55

a = 13

n =8

Solution

55 = 13 + (8 - 1)*d               Combine

55 = 13 + 7d                       Subtract 13 from both sides

55 - 13 = 7d

42 = 7d                               Divide by 7

d = 6

Which statements are true about a triangular pyramid? Check all that apply
It has exactly to faces that are triangles.
has exactly three faces that are triangles.
It has exactly four faces that are triangles
chas 4 vertices
it has 5 faces
It has 6 edges

Answers

Answer:

✔︎ C) It has exactly four faces that are triangles.

✔︎ D) It has 4 vertices.

✔︎ F) It has 6 edges.

༄❁༄❁༄❁༄❁༄

hope it helps...

have a great day!!!

Answer:

C) It has exactly four faces that are triangles.

D) It has 4 vertices.

F) It has 6 edges.

Step-by-step explanation:

hope it helps..

how old is the ressinace ?

Answers

Answer:

The renaissance took place in the 14th all the way to the 17th century.

Step-by-step explanation:

PLEASE HELP
10 points
will mark brainliest!

Answers

Step-by-step explanation:

root 13

is the answer. give 5 star

Help me with this PLEASE!!!!

Answers

Answer:

Corresponding Parts of Congruent Triangles are Congruent.

ASA

Step-by-step explanation:

We know that <YPC and angle <YPX are congruent angles.  They are both 90°.

Side YP is congruent to YP, so these sides are congruent in both triangles.

<XYP and <YPZ are congruent, because the perpendicular bisector cuts <XYZ in two equal parts.

ASA (Angle, Side, Angle)

What property is,If 5x=25,then x=5

Answers

Answer:

can you just give me the brainliest.

the answer is in the attached document

Step-by-step explanation:

A growing amusement park is able to sell 7 times as many tickets each year as it did the year before. If you list the number of tickets sold over time, what kind of sequence will you see?​

tysm! :)

Answers

If you list the number of tickets sold over time, the kind of sequence which you would see include the following: B. geometric.

What is a geometric sequence?

In Mathematics, a geometric sequence can be defined as a series of real and natural numbers that are calculated by multiplying the next number by the same number (common or constant ratio) each time.

How to calculate the nth term of a geometric sequence?

In Mathematics, the nth term of a geometric sequence can be calculated by using this mathematical expression:

aₙ = a₁rⁿ⁻¹

Where:

aₙ represents the nth term of a geometric sequence.r represents the common ratio.a₁ represents the first term of a geometric sequence.

Assuming the variable x represents the number of ticket sold previously (initial year) and it sold 7 times as many tickets each year as it did the year before, a mathematical expression which models this situation is given by geometric sequence:

x, 7x, 49x, 343x, .....

Check:

7/1 = 49/7 = 343/49 = 7 (proof).

Therefore, this is a geometric sequence.

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Complete Question:

A growing amusement park is able to sell 7 times as many tickets each year as it did the year before. If you list the number of tickets sold over time, what kind of sequence will you see?​

arithmetic

geometric

both

neither

my math grade currently is a 96%. i get a 55% on a math test. the weight of the test is 50% of my grade. what would my grade be?

Answers

Answer:

h

Step-by-step explanation:

g

Discrete Mathematics
For each language L1 to L5, described below, you need to do the following:
• Create a regular expression that defines the language accurately.
The alphabet A = {a, b} will be used.
The languages are:
1. L1 which has exactly one a but any number of bs.
2. L2 which has an odd number of as and an even number of bs.
3. L3 which contains exactly two as or exactly two bs, although not necessarily adjacent.
4. L4 which has all the bs appearing before any of the as, or all the as appearing before any of the bs.
5. L5 where there can be any number of as but the number of bs must be even, although the bs do not have to be adjacent.

Answers

L1: ^a[b]*$L2: ^(a[b]*a[b]*)*$L3: ^([ab]{2}|[ab][ab])$L4: ^(a*|b*)$L5: ^a*(bb)*$

Note: ^ is for Start of the line, $ is for end of the line ,* means 0 or more, + means 1 or more, [ab] means either a or b and {} is for specific number of times, () is for grouping.

How to create regular expressions?

A task in which it is necessary to create regular expressions to define five different languages. The alphabet used is A = {a, b}. The languages ​​are:

L1, which has exactly one "a" but any number of "bs".

L2, which has an odd number of "as" and an even number of "bs".

L3, which contains exactly two "as" or exactly two "bs", although not necessarily adjacent.

L4, which has all "bs" appearing before any "a" or all "as" appearing before any "b".

L5, where there can be any number of "as", but the number of "bs" must be even, although the "bs" need not be adjacent.

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A bus rental company charges $60 for booking a bus and $120 for each hour the bus is rented. A tour group pays $780 to rent a bus. HELP WANTED TY!!

Select the equation that represents the given situation and find the number of hours the tour group rented the bus.
A. 60x + 120 = 780 ; 11 hours
B. 60x + 120 = 780 ; 6 hours
C. 120x + 60 = 780 ; 11 hours
D. 120x + 60 = 780 ; 6 hours

Answers

The answer is D. 120x + 60 = 6 hours

Answer:d. 120x+60=780

Step-by-step explanation:

120 cost per x hours

Flat Rental cost 60

120x+60=780

-60 as the flat rate which won’t change based on time.

120x=720

Divided by a rate of 120 per hour

x=6 hours

Write 12% as a simplified ( reduced ) fraction

Answers

Answer:

3/25

Step-by-step explanation:

12% is equal to 0.12, which is equal to 12/100.

Simplify.

12/100

Divide numerator and denominator by 2.

6/50

Divide numerator and denominator by 2.

3/25.

3/25 would be the reduced fraction.
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