Kyle is a basketball player. His bottle was full at the beginning of the game. At the end of the first quarter, he drank 5/7 of the bottle. A coach filled up his bottle for him during the second quarter. At the end of second quarter, he drank some more water and left only 2/5 of water in the bottle. How much water did he drink during the first half of the game?

Answers

Answer 1

Final answer:

Kyle drank a total of 39/35 liter of water during the first half of the game.

Explanation:

To find the amount of water Kyle drank during the first half of the game, we need to calculate the difference between the initial amount of water and the amount left at the end of the second quarter.

Let's assume Kyle's bottle initially held 1 liter of water.

At the end of the first quarter, he drank 5/7 of the bottle or (5/7) * 1 = 5/7 liter of water.

After the coach filled up his bottle during the second quarter, the bottle was full again.

At the end of the second quarter, he drank some more water and left only 2/5 of water in the bottle, which is (2/5) * 1 = 2/5 liter of water.

Therefore, Kyle drank a total of 5/7 + 2/5 = 25/35 + 14/35 = 39/35 liter of water during the first half of the game.


Related Questions

3x^2 and 6x^2 greatest common factor

Answers

It the sender is 38 ove 7
Two because they all can divide in two

What is the diameter of the circle shown below?

Answers

Diameter is 12. Diameter is radius times 2. 6 times 2=12

Answer:

12

Step-by-step explanation:

the diameter is 2x the radius, in this case we have 6 as the radius so naturally the diameter is 12

Which statement is true

Answers

Answer:

A

Step-by-step explanation:

I believe a is true but I'm not a hundred percent sure

Answer:

Answer A

Step-by-step explanation:

13/14 goes to 26/28, which is greater than 25/28.

Which of the following is true if the data point 11.1 is corrected to 11.7?

A.The mean increases.

B.The median increases.

C.The data set has two modes.

D. The range increases.

Answers

Answer:

Which of the following is true if the data point 11.1 is corrected to 11.7?

A.The mean increases.

B.The median increases.

C.The data set has two modes.

D.The range increases.

A.The mean increases.

C.The data set has two modes.

These are the correct answers.

A and C will be correct answers.

What is the mean?

The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including basic arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.

Given that the Data point is corrected from 11.1 to 11.7. As we already know if we increase the value of the data point the mean will rise when a data point is added that is above the mean or subtracted that is below the mean. The mean will drop if one or more data points are removed that are above the mean or added that are below the mean.

Therefore, If data point 1.1 is corrected to 11.7 then the mean will increase and the data set has two modes.

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find the length of the hypotenuse round your answer to the nearest hundred

Answers

A. 7+4=11. That’s the answer to the hypotenuse.

A kite is flying at an angle of elevation of
about 55°. Ignoring the sag in the string,
find the height of the kite if 60 m of string
has been let out.
* help please *

Answers

Answer:

49.15 m

Step-by-step explanation:

Length of the string is the hupotenuse: 60

Height of the kite is the opposite: X

sin(55) = opposite/hypotenuse

sin(55) = X/60

X = 60sin(55)

X = 49.14912266 m

(08.01 MC)
A researcher posts a newspaper advertisement offering $10 in exchange for participation in a short study. The researcher accepts the first 10 people who respond to the advertisement. Which of
following statements true about the sample?
It is not a valid sample because it is only a short study,
It is a valid sample because money is offered to participants.
It is a valid sample because the first 10 people were selected to participate.
It is not a valid sample because it is not a random sample of the population

Answers

Answer:

The correct answer is the last on that’s states: it is not a valid sample because it is not a random sample of the population.

Step-by-step explanation:

When a researcher wants to know about the same thing, he/she has to take a sample from the population.

Example, consider a researcher wants to know how many hours the students study at home in a week, so the researcher has to take the sample from the student population.

Here, he/she gives the advertisement and offers $10 for 10 people. Therefore for anyone can come they might not required for a particular study.

Therefore, the answer is the last one.

Answer:

d

Step-by-step explanation:

Write an equation to the nth term of the arithmetic sequence. (write the equation for the sequence)

15, 13, 11, 9

Answers

Answer:

15,13,11,9,…

Given

2

13 - 15 = -2

11 - 13 = -2

9 - 11 = -2

d = -2

3

4

when n = 515,13,11,9,…

Given

2

13 - 15 = -2

11 - 13 = -2

9 - 11 = -2

d = -2

3

4

when n = 515,13,11,9,…

Given

2

13 - 15 = -2

11 - 13 = -2

9 - 11 = -2

d = -2

3

4

when n = 5

alice took out 80/20 mortgage on a $232,000 home. what is the amount financed under the first mortgage?

Answers

Answer:

The amount financed under this mortgage is $185,600

Step-by-step explanation:

Alice took out an 80/20 mortgage on a $232,000 home.

80/20 mortgage means pay 20% down payment and 80% finance amount of home value.

Home value = $232,000

Now, we need to find finance amount from this hone value of $232,000

Let's calculate the 80% of $232,000 as finance amount;

Finance amount = 80% of 232000

 Finance amount  = 0.80 x 232000

Finance amount = 185,600

Hence, The amount financed under this mortgage is $185,600

Helllppppppppp pleaseeeeeee​

Answers

the answer is 17


Explanation
XZ is the hypotenuse of the right angled triangle
so
XZ² = YZ² + YX²
XZ² = 15² + 8²
XZ² = 289
XZ = √289 = 17

Answer:

17 cm

Step-by-step explanation:

Because if you use the Pythagorean threom a^2 + b^2 = c^2. 8 squared is 64 and 15 squared is 225 add those and you get 289, and 17 squared is 289.

Assume that the data has a normal distribution and the number of observations is greater than fifty. Find the critical z value used to test a null hypothesis.

​α = 0.08; H1 is μ ≠ 3.24


a. ±1.75


b. 1.75


c. ±1.41


d. 1.41

Answers

Answer:

The critical z value used to test a null hypothesis is ±1.75.

Step-by-step explanation:

We are given that the data has a normal distribution and the number of observations is greater than fifty.

Also, the hypothesis given to us is;

Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 3.24

Alternate Hypothesis, [tex]H_1[/tex] : [tex]\mu\neq[/tex] 3.24

This means that our test is two-tailed because in the alternate hypothesis we are concerned with mean value is less than or greater than 3.24.

Also, level of significance (α) = 0.08

Now, for two-tailed test level of significance becomes =  [tex]\frac{\alpha}{2} =\frac{0.08}{2}[/tex] = 0.04

So, in the z-table the critical value of x at 4% significance level is given as 1.75.

Since, this is two-tailed test so the critical z value used to test a null hypothesis would be ±1.75.

At the 4% significance level, the z-value is 1.75. Therefore, for the two tailed test the z value becomes [tex]\pm[/tex] 1.75. and this can be determined by using the given data.

Given :

Assume that the data has a normal distribution and the number of observations is greater than fifty.​α = 0.08H1 is μ ≠ 3.24

According to the hypothesis test:

Null Hypothesis  --  [tex]\rm H_0:\mu=3.24[/tex]

Alternate Hypothesis  --  [tex]\rm H_1 : \mu\neq 3.24[/tex]

According to the given data, the significance level is given by ​α = 0.08. So, the significance level for the two tailed test is given by:

[tex]\rm \dfrac{\alpha }{2}=\dfrac{0.08}{2}=0.04[/tex]

So, for the 4% significance level, the z-value is 1.75. Therefore, for the two tailed test the z value becomes [tex]\pm[/tex] 1.75.

So, the correct option is a).

For more information, refer to the link given below:

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A child has toy blocks that contain the numbers 1 through 80. What is the probability that the will pick up a number that is not a multiple of 11?

Give your answer in fraction form.

Answers

Answer: 7/80

Step-by-step explanation: There are 7 multiples of 11 between 1 and 80, so you just put the 7 over the total number which is 80

7/80 because it’s like part to whole thing but in a fraction form.

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The following box plot shows the number of books sold each day at a store for 60 days. How many days did the bookstore sell 2 to 12 books?


10
15
30
45

Answers

Answer:

45

Step-by-step explanation:

Geometry help for an idiot lol pls help

Answers

Answer:

B

Step-by-step explanation:

The transformation is proved through comparing the size of the bigger triangle to the smaller triangle in the individual sides. So the size of A F/ AB should be equal to AG / AC due to transformations making A F and AG the same times longer as AC and AB. By performing those calculations, you get 3.

b is the answer, i agree

You start driving north for 3 miles, turn right, and drive east for another 4 miles. At
the end of driving, what is your straight line distance from your starting point?

Answers

The straight line distance is 5 miles from starting point.

Step-by-step explanation:

Driving 3 miles north and 4 miles east and then the straight line distance will form a right angled triangle.

What is the difference
between:
1X + 3) = 10 & 1X1 + 3 = 10

Answers

Step-by-step explanation:

The difference is 1 times +3 is like 1×3=3

Unlike 1 times 1 + 3 =1×1+3=4

Answer:

Step-by-step explanation:

1x +3 is like 1×3=3

1 x 1 + 3  is basically 1×1+3=4

What is the surface area of the figure?



Composite figure composed of a two rectangular prisms right aligned and stacked on each other. The larger rectangular prism has width of 10 feet, length of 4 feet, and height of 5 feet. The smaller rectangular prism has width of 5 feet, length of 4 feet, and height of 5 feet.



360 cm2


180 cm2


155 cm2


310 cm2

Answers

Answer:

I got 300, though it's not in the answer choices

Step-by-step explanation:

Separate them into two separate rectangles

5×10×4= 200cm

5×5×4= 100cm

=300cm^2

Nora has $50 saved and gets $12 a week in allowance. Write a function to show the total amount of money she will have saved after n weeks.

Answers

Answer:

After 'n' weeks?

Step-by-step explanation:

Make sure your question makes sense.

For the following data set, calculate the mean and median. Any non-integer answers should be rounded to
the nearest tenth.
5,5, 9, 10, 13, 16, 18, 20, 22, 22​

Answers

Answer:

(a)Mean=14

(b)Median=14.5

Step-by-step explanation:

Given the data set:

5,5, 9, 10, 13, 16, 18, 20, 22, 22​

(a)Mean

[tex]\bar{x}=\dfrac{5+5+9+10+13+16+18+20+22+22}{10} \\=\dfrac{140}{10} \\Mean=14[/tex]

(b)5,5, 9, 10, 13, 16, 18, 20, 22, 22​

Since we have two terms in the middle, we take the average to obtain the median.

Median

[tex]=\frac{13+16}{2}\\=\frac{29}{2}\\Median=14.5[/tex]

What best describes the Debt Snowball method for paying off debt

Answers

Answer:

The debt snowball method is a debt reduction strategy where you pay off debt in order of smallest to largest, gaining momentum as you knock out each balance. When the smallest debt is paid in full, you roll the money you were paying on that debt into the next smallest balance.

Step-by-step explanation:

Answer:

a debt reduction str

ategy where you pay off debt in order of smallest to largest, gaining momentum as you knock out each balance.

Step-by-step explanation:

The area of a rectangle is 344 square inches. If the rectangle is 16 inches wide, find the perimeter of the rectangle.

A. 67 inches
B. 72 inches
C. 75 inches
D. 80 inches

Answers

Answer:

C. 75 inches

Step-by-step explanation:

well if it's a rectangle then we would do A = L x W we are told the Width and the Area

344 = L x 16

344 / 16 = 21.5

P = L + L + W + W

16 + 16 + 21.5 + 21.5

16 + 16 = 32

21.5 + 21.5 = 43

32 + 43 = 75

the perimeter is 75 inches

Final answer:

To find the perimeter of the rectangle, we calculate the length by dividing the area by the width and then apply the perimeter formula. We find that the length is 21.5 inches and the perimeter is 75 inches.

Explanation:

To find the perimeter of the rectangle when the area is 344 square inches and the width is 16 inches, we need to use the area formula of a rectangle, which is Area = length × width. Since we have the area and the width, we can calculate the length:

Divide the area by the width to find the length: Length = 344 sq in / 16 in = 21.5 in.

Now, use the perimeter formula: Perimeter = 2 × (length + width).

Substitute the length and width into the formula: Perimeter = 2 × (21.5 in + 16 in) = 2 × 37.5 in = 75 inches.

The correct answer is C. 75 inches.

I need help with this

Answers

Answer:

(b +4)(b +9)(c -5)(c +9)(k +2)(k +3)

Step-by-step explanation:

Consider the product ...

  (x +a)(x +b) = x^2 +(a+b)x +ab

You will notice that the linear term (a+b)x has a coefficient (a+b) that is the sum of the factors of the constant term (ab).

For problems like this, it is useful to be able to factor the constant term, so you can choose the factors with the appropriate sum.

Signs are important. If the constant is positive, its factors will have the same sign, both positive or both negative. If the constant is negative, its factors will have opposite signs.

__

1. b^2 +13b +36

Factors of 36 are ...

  36 = 1·36 = 2·18 = 3·12 = 4·9 = 6·6

The sums of these are 37, 20, 15, 13, and 12. So, the factor pair we're looking for is 4 and 9. The factorization is ...

  = (b +4)(b +9)

__

2. c^2 +4c -45

The middle term is positive, so the larger magnitude factor will be positive. Factors of -45 are ...

  -45 = -1·45 = -3·15 = -5·9

Sums of these factors are 44, 12, 4. So, the factor pair we're looking for is -5 and 9. The factorization is ...

  = (c -5)(c +9)

__

3. k^2 +5k +6

  6 = 1·6 = 2·3 . . . . sums are 7 and 5  ⇒  factors of interest are 2 and 3

  = (k +2)(k +3)

The map shows the length (in miles) of shoreline along the Gulf of Mexica for each state that borders the body of water. What is the probability that a ship coming ashore at a random point in the Gulf of Mexico lands in the given state? Round your answers to the nearest whole percent.

Answers

Answer:

TX- 23%

AL- 3%

FL- 47%

LA- 24%

MS- 3%

Step-by-step explanation:

Final answer:

To find the probability of a ship coming ashore in a given state, divide the length of its shoreline by the total length of the Gulf of Mexico's shoreline.

Explanation:

To find the probability of a ship coming ashore at a random point in the Gulf of Mexico landing in a given state, we need to divide the length of the shoreline of that state by the total length of the Gulf of Mexico's shoreline. Let's assume there are 4 states that border the Gulf of Mexico: State A with 100 miles of shoreline, State B with 150 miles, State C with 200 miles, and State D with 250 miles. The total shoreline length of the Gulf of Mexico would be 700 miles (100 + 150 + 200 + 250).

Now, we can find the probability for each state by dividing its shoreline length by the total shoreline length. For example, for State A, the probability would be 100/700 which is approximately 0.1429 or 14.29%.

Following the same calculation, the probability for State B is 150/700 which is approximately 0.2143 or 21.43%, the probability for State C is 200/700 which is approximately  0.2857 or 28.57%, and the probability for State D is 250/700 which is approximately 0.3571 or 35.71%.

Which fractions are equivalent to 40%? Check all that apply.
1 . StartFraction 8 Over 100 EndFraction
2 . Two-fifths
3 . StartFraction 8 Over 20 EndFraction
4 . StartFraction 4 Over 10 EndFraction
5 . StartFraction 16 Over 40 EndFraction

Answers

Answer:

2/5

8/20

4/10

16/40

Step-by-step explanation:

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if this helps pls mark me as brainliest:)

The fractions that are equivalent to 40% are 4/10 and 8/20

Fractions and percentages

Fractions are written as a ratio of two integers

Given the percentage 40%

Write as a fraction

40% = 40/100

Divide through by 4

40% = 40/100 = 4/10

Multiply both numerator and denominator by 2

4/10 * 2/2 = 8/20

Hence the fractions that are equivalent to 40% are 4/10 and 8/20

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What’s the answers????!!!!

Answers

Answer:

[tex] f(0) = 1 [/tex]

Step-by-step explanation:

The initial value is the value when x = 0.

[tex] f(x) = 4^x [/tex]

For x = 0,

[tex] f(0) = 4^0 [/tex]

[tex] f(0) = 1 [/tex]

Which statements are true? Check all that apply.
1 A is in Quadrant I.
2 B is on the x-axis.
3 C is in Quadrant I.
4 D is in Quadrant III.
5 E is on the x-axis.
6 F is on the x-axis.
7 G is on the y-axis.

Answers

Answer:

1,4,6

Step-by-step explanation:

An amusement park charges an admission fee of 25 dollars per person. The cost, C (in dollars), of admission for a group of p people is given by the following function.

Answers

Answer:

c=25p

Step-by-step explanation:

c= total cost

p=number of people

total cost is the numer of people times 25 dollars each

Use the Venn diagram to calculate conditional probabilities.



Circles D, E, and F overlap. Circle D contains 13, circle E contains 4, and circle F contains F. The overlap of D and E contains 6, the overlap of E and F contains 7, and the overlap of F and D contains 5. The overlap of all 3 circles contains 5. Number 3 is outside of the circles.

Which conditional probabilities are correct? Check all that apply.

P(D | F) = StartFraction 6 Over 34 EndFraction
P(E | D) = StartFraction 7 Over 25 EndFraction
P(D | E) = StartFraction 7 Over 25 EndFraction
P(F | E) = StartFraction 8 Over 18 EndFraction
P(E | F) = StartFraction 13 Over 21 EndFraction

Answers

Answer:

E2020 A, B, D

Step-by-step explanation:

The probability of P(D|F), P(E|D), and P(F|E) are 6/34, 7/25, and 8/18 options (A), (B), and (D) are correct.

What is the Venn diagram?

It is defined as the diagram that shows a logical relation between sets.

The Venn diagram consists of circles to show the logical relation.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

As we can see in the Venn diagram the data is shown.

P(D | F) = The probability of event D that depends on the event F.

P(D|F) = 6/34

Similarly:

P(E|D) = 7/25

P(F|E) = 8/18

Thus, the probability of P(D|F), P(E|D), and P(F|E) are 6/34, 7/25, and 8/18 options (A), (B), and (D) are correct.

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At 8 a.m. the temperature was –4ºC. At 12 p.m., the temperature was –1ºC. Shayla claims that it was warmer at 8 a.m. than it was at 12 p.m.
What mistake did Shayla most likely make when comparing the temperatures?
A. She used a number line.
B. She compared the absolute values.
C. She compared the order of the numbers.
D. She counted the distance from zero incorrectly.

Answers

Answer:

I believe the answer is C.

Step-by-step explanation:

Shayla forgotten that the further you are away, the more colder it gets or you are further away from zero. It is more warmer at 12pm than 8am as it was -1 degrees celsius which is warmer than -4 degrees celsius.

which glass will get filled first. be very observant to all the paths and think about what would really happen.

Answers

Answer:

Number 7

Step-by-step explanation:

That's the one that is at the bottom and the corresponding tubes lead to the one being the first to be filled

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