John Daum and Chris Yin are star swimmers at a local college. They are preparing to compete at the NCAA Division II national championship meet, where they both have a good shot at earning a medal in the men’s 100-meter freestyle event. The coach feels that Chris is not as consistent as John, even though they clock about the same average time. In order to determine if the coach’s concern is valid, you clock their time in the last 9 runs and compute a standard deviation of 0.93 seconds for John and 1.08 seconds for Chris. It is fair to assume that clock time is normally distributed for both John and Chris. Let the clock time by John and Chris represent population 1 and population 2, respectively.

Calculate the value of the test statistic.

Answer:

Lisa invest "$2180.81" in her bank.

Step-by-step explanation:

The given values are:

On Lisa's 62nd birthday,

she withdraw = $10,000

The annuity of $A will remain at 3 percent for 40 years. The retirement pension of $10000 lasts 23 years at rate percentage of 3 but begins 40 years later.

⇒  [tex]A\times (\frac{P}{A} ,3 \ percent,40) - 10000 (\frac{P}{A} ,3 \ percent,23)\times \frac{1}{(1.03)40} = 0[/tex]

⇒  [tex]A\times 23.1148 - 10000\times 16.4436\times 0.3066 = 0[/tex]

⇒  [tex]A = 10000\times 16.4436\times \frac{0.3066}{23.1148}[/tex]

⇒      [tex]= 10000\times 16.4436\times 0.0132[/tex]

⇒      [tex]=2180.81[/tex] ($)

Answer:

128

Step-by-step explanation:

Answer:128

Step-by-step explanation:

It is 128 because the WHOLE angle is 180 degrees and if 52 degrees are covered the other remaining is b so 180 degrees-52 degrees is 128 degrees

`Answer:

a)x=-9

b)x=71

c) x=3

d)x=9

Step-by-step explanation:

thats what i got unless im really stoopid

Answer:

11......

Step-by-step explanation:

Just figured what numbers fit..

Do it in my head

The highest number is 10.

Let the numbers be a, a+1, a+2, a+3, a+4 and a+5.

Then, we will add all the numbers and equate them to 45. This will be:

a + (a + 1) + (a + 2) + (a + 3) + (a + 4) + (a + 5) = 45

6a + 15 = 45

Collect like terms

6a = 45 - 15

6a = 30

a = 30/6

a = 5

Smallest number = 5

Then, the largest number will be:

a + 5

Since a = 5

a + 5 = 5 + 5 = 10

In conclusion, the highest number is 10.

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Answer:

14 inches

Step-by-step explanation:

Using this information, we can form an equation.

Since there are 3 sides in a triangle, and each side increased by 6, that means that the perimeter increased by 18 inches. Down below, I did 3x because there are 3 sides in a triangle.

(This is the equation you'd want to do to get the answer)

3x + 3 * 6 = 60

Simplify:

3x + 18 = 60

Same to both sides

3x = 42

Isolate x:

x = 14

Let me know if you have any questions

Answer:

1.21

Step-by-step explanation:

5.26 - 3.64 = 1.62

1.62 ÷ 2 because the difference between 3 and 5 is two, the mass of one apple is 0.81 because 1.62 ÷ 2 = 0.81

so now we know one apple weights 0.81

if we multiply that 0.81 x 3 it will equal 2.43, so now the three apples alone wiegh 2.43...so now we look at the total weight of the whole basket with three apples, which is 3.64,

3.64 - the weigth of the apples (2.43)

3.64 - 2.43 = 1.21

the basket alone wieghts 1.21

Sorry if that was too long just want you to understand it

Answer:

K over two minus five

Step-by-step explanation:

I think?

Answer:

No they are not parallel.  

Step-by-step explanation:

You have to figure out the slopes of each set of points. For  (-5,3) and (-6,-1) the slope is 4 and for  (3,-2) and (2,-7) the slope is 5. You can only have parallel lines if the slope is same and the y- ints are different. Here the slopes aren't same.

Sorry If im wrong. Hope this helps!

The two given lines are not parallel.

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

Its slope would be:

[tex]m = \dfrac{y-q}{x-p}[/tex]

Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.

We are given that;

The points= (-5,3) and (-6,-1),  (3,-2) and (2,-7)

Now,

For line A, let’s use (-5, 3) and (-6, -1) as the two points. Plugging these values into the formula, we get:

m = (-1 - 3) / (-6 - (-5)) = -4 / -1 = 4

So, the slope of line A is 4.

For line B, let’s use (3, -2) and (2, -7) as the two points. Plugging these values into the formula, we get:

m = (-7 - (-2)) / (2 - 3) = -5 / -1 = 5

Hence, the slope of line B is 5.

Since the slopes of line A and line B are not equal (4 ≠ 5),

Therefore, by the slope the answer will be they are not parallel.

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Answer:

Unit rate = 50m/h

Step-by-step explanation:

Distance = 25 (x2) = 50                     ( basically make the den 1 and wht

Time = 1/2 hr (x2) = 1hr                      u do to den do to num)

Unit rate = 50m/h

Answer:

E)

Step-by-step explanation:

1 - (69,000 / 42,000) = .64285 * 100% = 64.3%

Answer:

MMXXI Hope this helps :)

Step-by-step explanation:

The sum of the interior angle of a rhombus is 360° and each angle is 90°

Answer:

62%

Step-by-step explanation:

I took a fraction and made a decimal which was made into a percentage.

186 ÷ 300 = .62

Check: 62% • 300 = 186

The survey Anna conducted has 62% of students whose favorite color is red.

The percentage is the value per hundredth. Percentages can be converted into decimal form by dividing them by hundred, Percentage can also be represented as a fraction.

Given that 186 out of 300 students Anna surveyed chooses red as their favorite color.

The percentage of students whose favorite color is red is no. of students whose favorite color is red divided by the total no. of students multiplied by hundred which is,

= (186/300)×100.

= 186/3.

= 62%.

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Answer:

44º

we know the angle measures of angles G and F; they match up with angles L and M meaning angle K is congruent to angle E

Answer: you cant solve this solution

Step-by-step explanation:

Answer:

Www

Step-by-step explanation:

Answer:

×2y aquel 2minus ×plus y equals negative1

Answer:

D

Step-by-step explanation:

x + 2/5 = 1/3

x = 1/3 - 2/5

x = -1/15

Answer:

-1/15

Step-by-step explanation:

Answer:

s = 268.27

Step-by-step explanation:

simplify: 75+19547-11s=16671

simplify more: 19622-11s=16671

subtract 19622 on both sides: -11s=-2951

divide both sides by -11: s=268.27

Answer:

6n=72

n=72/6

n=12

.....................

Answer:

n = 12

Step-by-step explanation:

n = 72÷ 6

n = 12

thats the answer

Answer:

9 gallons per minute

Step-by-step explanation:

If there are 54 gallons that came out of a pipe within 6 minutes, then we divide 54 by 6 to get how many would come out in 1 minute.

54/6 = 9.

Answer:

Step-by-step explanation:

Your answer

Old price = 13$

New price = 12.48$

DISCOUNT price = 0.52$

Discount rate = 0.52/13 * 100= 4%

Mark it as Brainlist answer. Follow me.

Answer:

1, 2, 3, 4, 6, 12

Step-by-step explanation:

Answer:

1,2,3,4,5,6,12 esos son

Answer:

26585375

Step-by-step explanation:

Answer:

x = 5.61

Step-by-step explanation:

Applying the knowledge of similarity between two figures, thus:

Height of flag : height of Tommy = shadow length of flag : shadow o

Length of Tommy

30:5.5 = (25 + x) : x

30/5.5 = (25 + x)/x

30×x = 5.5(25 + x)

30x = 137.5 + 5.5x

30x - 5.5x = 137.5

24.5x = 137.5

x = 137.5/24.5

x = 5.61 (nearest hundredth)

Answer:

Step-by-step explanation:

I'm just going to factor it for you.

Factor −y^2+y+6

−y^2+y+6

=(−y−2)(y−3)

Answer:

(−y−2)(y−3)

Answer:

x = 6√2, y = 6

Step-by-step explanation:

This is an isosceles triangle as one angle measures 45° and the other is a right angle, so it measures 90°.

Therefore, you know that y will equal 6.

You have to multiply a by √2 to find x.

6 x √2 = 6√2

Hope this helps!

Answer:

x = 6[tex]\sqrt{2}[/tex]

y = 6

Step-by-step explanation:

in  a 45-45-90 triangle the two legs are equal, so XY = YZ

also, the leg to hypotenuse ratio is 1 : [tex]\sqrt{2}[/tex]

so x = 6 · [tex]\sqrt{2}[/tex]

The answer is 840.

I hope am right

Answer:

its $63.96

Step-by-step explanation:

Using the formula (b) and replacing the given values:

Sale Price = Original Price - Amount Saved. So,

Sale Price = 79.95 - 15.99

Sale Price = $63.96 (answer).

This means the cost of the item to you is $63.96.

You will pay $63.96 for a item with original price of $79.95 when discounted 20%.

In this example, if you buy an item at $79.95 with 20% discount, you will pay 79.95 - 15.99 = 63.96 dollars.

Answer:

$63.96

Step-by-step explanation:

$79.95 = 100%

The jacket is on sale for 20% off, therefore it is 100% - 20% = 80% or 0.8

0.8 x $79.95 = $63.96

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